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C#","\u002Fcsharp\u002Fadvanced-core\u002Fadditional-features","01.csharp\u002F03.advanced-core\u002F06.additional-features",{"title":121,"icon":122,"path":123,"stem":124,"children":125,"page":59},"Architecture Best Practices","i-lucide-building-2","\u002Fcsharp\u002Farchitecture-best-practices","01.csharp\u002F04.architecture-best-practices",[126,130,149,153,157,161,165,169],{"title":127,"path":128,"stem":129},"Software Design Principles (Частина 1)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fsoftware-design-principles","01.csharp\u002F04.architecture-best-practices\u002F01.software-design-principles",{"title":131,"icon":132,"path":133,"stem":134,"children":135,"page":59},"Design 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Програмування","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-fundamentals","01.csharp\u002F07.system-programming-windows\u002F12.async-fundamentals",{"title":344,"path":345,"stem":346},"SynchronizationContext та ConfigureAwait — Контекст Виконання","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-context-configureawait","01.csharp\u002F07.system-programming-windows\u002F13.async-context-configureawait",{"title":348,"path":349,"stem":350},"Async — Просунуті Паттерни","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-advanced","01.csharp\u002F07.system-programming-windows\u002F14.async-advanced",{"title":352,"path":353,"stem":354},"System.Threading.Channels — Async Producer-Consumer","\u002Fcsharp\u002Fsystem-programming-windows\u002Fchannels","01.csharp\u002F07.system-programming-windows\u002F15.channels",{"title":356,"path":357,"stem":358},"Асинхронна Синхронізація","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-synchronization","01.csharp\u002F07.system-programming-windows\u002F16.async-synchronization",{"title":360,"path":361,"stem":362},"Unsafe Code та Вказівники","\u002Fcsharp\u002Fsystem-programming-windows\u002Funsafe-code","01.csharp\u002F07.system-programming-windows\u002F17.unsafe-code",{"title":364,"path":365,"stem":366},"P\u002FInvoke та Windows API — Міст між .NET та Native Code","\u002Fcsharp\u002Fsystem-programming-windows\u002Fpinvoke-winapi","01.csharp\u002F07.system-programming-windows\u002F18.pinvoke-winapi",{"title":368,"path":369,"stem":370},"Реєстр Windows — Центральна База Конфігурації Системи","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-registry","01.csharp\u002F07.system-programming-windows\u002F19.windows-registry",{"title":372,"path":373,"stem":374},"Windows Hooks, Hotkeys та Services — Глибока Інтеграція з ОС","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-hooks-services","01.csharp\u002F07.system-programming-windows\u002F20.windows-hooks-services",{"title":376,"path":377,"stem":378},"Системне Програмування C# (Windows) — 07.system-programming-windows","\u002Fcsharp\u002Fsystem-programming-windows\u002Fimplementation_plan","01.csharp\u002F07.system-programming-windows\u002Fimplementation_plan",{"title":380,"icon":132,"path":381,"stem":382,"children":383,"page":59},"Io","\u002Fcsharp\u002Fio","01.csharp\u002F08.io",[384,388,392,396,400],{"title":385,"path":386,"stem":387},"8.1.1. Основи роботи з файловою системою","\u002Fcsharp\u002Fio\u002Ffile-system-basics","01.csharp\u002F08.io\u002F01.file-system-basics",{"title":389,"path":390,"stem":391},"8.1.2. Потоки (Streams) та Серіалізація Даних","\u002Fcsharp\u002Fio\u002Fstreams-serialization","01.csharp\u002F08.io\u002F02.streams-serialization",{"title":393,"path":394,"stem":395},"8.2.1. JSON Serialization з System.Text.Json","\u002Fcsharp\u002Fio\u002Fjson-serialization","01.csharp\u002F08.io\u002F03.json-serialization",{"title":397,"path":398,"stem":399},"8.2.2. XML Serialization та LINQ to XML","\u002Fcsharp\u002Fio\u002Fxml-serialization","01.csharp\u002F08.io\u002F04.xml-serialization",{"title":401,"path":402,"stem":403},"8.2.3. Binary Serialization: MessagePack та Protocol Buffers","\u002Fcsharp\u002Fio\u002Fbinary-serialization","01.csharp\u002F08.io\u002F05.binary-serialization",{"title":405,"icon":132,"path":406,"stem":407,"children":408,"page":59},"Ado Net","\u002Fcsharp\u002Fado-net","01.csharp\u002F09.ado-net",[409,413,417,421,425,429,433,437,441,445,449,453],{"title":410,"path":411,"stem":412},"9.1. Введення в ADO.NET","\u002Fcsharp\u002Fado-net\u002Fintroduction-to-adonet","01.csharp\u002F09.ado-net\u002F01.introduction-to-adonet",{"title":414,"path":415,"stem":416},"9.2. Клас DbConnection — з'єднання з базою даних","\u002Fcsharp\u002Fado-net\u002Fconnection","01.csharp\u002F09.ado-net\u002F02.connection",{"title":418,"path":419,"stem":420},"9.3. Клас DbCommand — виконання SQL-запитів","\u002Fcsharp\u002Fado-net\u002Fcommand-and-queries","01.csharp\u002F09.ado-net\u002F03.command-and-queries",{"title":422,"path":423,"stem":424},"9.4. Клас DbDataReader — ефективне читання даних","\u002Fcsharp\u002Fado-net\u002Fdatareader","01.csharp\u002F09.ado-net\u002F04.datareader",{"title":426,"path":427,"stem":428},"9.5. Параметризовані запити та захист від SQL Injection","\u002Fcsharp\u002Fado-net\u002Fparameters-and-sql-injection","01.csharp\u002F09.ado-net\u002F05.parameters-and-sql-injection",{"title":430,"path":431,"stem":432},"9.6. Транзакції в ADO.NET","\u002Fcsharp\u002Fado-net\u002Ftransactions","01.csharp\u002F09.ado-net\u002F06.transactions",{"title":434,"path":435,"stem":436},"9.7. DbProviderFactory — провайдер-незалежний код","\u002Fcsharp\u002Fado-net\u002Fprovider-factory","01.csharp\u002F09.ado-net\u002F07.provider-factory",{"title":438,"path":439,"stem":440},"9.8. Асинхронний доступ до даних","\u002Fcsharp\u002Fado-net\u002Fasync-data-access","01.csharp\u002F09.ado-net\u002F08.async-data-access",{"title":442,"path":443,"stem":444},"9.9. Від'єднаний режим: DataSet, DataTable, DataRow","\u002Fcsharp\u002Fado-net\u002Fdisconnected-mode-dataset","01.csharp\u002F09.ado-net\u002F09.disconnected-mode-dataset",{"title":446,"path":447,"stem":448},"9.10. DataAdapter — міст між DataSet та базою даних","\u002Fcsharp\u002Fado-net\u002Fdata-adapter","01.csharp\u002F09.ado-net\u002F10.data-adapter",{"title":450,"path":451,"stem":452},"9.11. Data Mapper та Repository: Архітектура доступу до даних","\u002Fcsharp\u002Fado-net\u002Fdata-mapper-repository","01.csharp\u002F09.ado-net\u002F11.data-mapper-repository",{"title":454,"path":455,"stem":456},"9.12. Identity Map, Unit of Work та Specification Pattern","\u002Fcsharp\u002Fado-net\u002Fadvanced-patterns","01.csharp\u002F09.ado-net\u002F12.advanced-patterns",{"title":458,"icon":255,"path":459,"stem":460,"children":461,"page":59},"Ef Core","\u002Fcsharp\u002Fef-core","01.csharp\u002F10.ef-core",[462,466,470,474,478,482,486,490,494,498,502,506,510,514,518,522,526,532,538,542,546,550,554,558,562,566,570,574,578,582,586,590,594,598,602,606,610,614,618,622,626,630,634,638,642,646],{"title":463,"path":464,"stem":465},"Що таке ORM? Від SQL до об'єктів","\u002Fcsharp\u002Fef-core\u002Fwhat-is-orm","01.csharp\u002F10.ef-core\u002F01.what-is-orm",{"title":467,"path":468,"stem":469},"Перший проєкт — від нуля до CRUD","\u002Fcsharp\u002Fef-core\u002Ffirst-project","01.csharp\u002F10.ef-core\u002F02.first-project",{"title":471,"path":472,"stem":473},"DbContext — Серце EF Core","\u002Fcsharp\u002Fef-core\u002Fdbcontext-deep-dive","01.csharp\u002F10.ef-core\u002F03.dbcontext-deep-dive",{"title":475,"path":476,"stem":477},"Провайдери баз даних — Архітектура та Вибір СУБД","\u002Fcsharp\u002Fef-core\u002Fdatabase-providers","01.csharp\u002F10.ef-core\u002F04.database-providers",{"title":479,"path":480,"stem":481},"Конвенції EF Core — Магія без конфігурації","\u002Fcsharp\u002Fef-core\u002Fconventions","01.csharp\u002F10.ef-core\u002F05.conventions",{"title":483,"path":484,"stem":485},"Fluent API та Data Annotations — Явна конфігурація моделі","\u002Fcsharp\u002Fef-core\u002Ffluent-api-vs-annotations","01.csharp\u002F10.ef-core\u002F06.fluent-api-vs-annotations",{"title":487,"path":488,"stem":489},"Зв'язки — One-to-One та One-to-Many","\u002Fcsharp\u002Fef-core\u002Frelationships-basics","01.csharp\u002F10.ef-core\u002F07.relationships-basics",{"title":491,"path":492,"stem":493},"Зв'язки Advanced — Many-to-Many та Складні Сценарії","\u002Fcsharp\u002Fef-core\u002Frelationships-advanced","01.csharp\u002F10.ef-core\u002F08.relationships-advanced",{"title":495,"path":496,"stem":497},"Властивості — Типи, Конвертери, Компаратори (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part1","01.csharp\u002F10.ef-core\u002F09.property-configuration-part1",{"title":499,"path":500,"stem":501},"Властивості — Value Comparers, Generators, Shadow Properties (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part2","01.csharp\u002F10.ef-core\u002F09.property-configuration-part2",{"title":503,"path":504,"stem":505},"Складні типи — Owned Types та Complex Types (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part1","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part1",{"title":507,"path":508,"stem":509},"Складні типи — Complex Types, Keyless Entities, Порівняння (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part2","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part2",{"title":511,"path":512,"stem":513},"JSON Columns — Складні дані у JSON (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part1","01.csharp\u002F10.ef-core\u002F11.json-columns-part1",{"title":515,"path":516,"stem":517},"JSON Columns — Value Comparers, Індекси, Провайдери (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part2","01.csharp\u002F10.ef-core\u002F11.json-columns-part2",{"title":519,"path":520,"stem":521},"Успадкування — Абстрактні класи та TPH (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finheritance-part1","01.csharp\u002F10.ef-core\u002F12.inheritance-part1",{"title":523,"path":524,"stem":525},"Успадкування — TPT, TPC та Порівняння Стратегій (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finheritance-part2","01.csharp\u002F10.ef-core\u002F12.inheritance-part2",{"title":527,"path":528,"stem":529,"children":530},"Індекси, Обмеження та Схема (Частина 1)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part1","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part1",[531],{"title":527,"path":528,"stem":529},{"title":533,"path":534,"stem":535,"children":536},"Індекси, Обмеження та Схема (Частина 2)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part2","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part2",[537],{"title":533,"path":534,"stem":535},{"title":539,"path":540,"stem":541},"Seed Data — Початкові Дані (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fseeding-part1","01.csharp\u002F10.ef-core\u002F14.seeding-part1",{"title":543,"path":544,"stem":545},"Seed Data — SQL-скрипти, Bogus та Стратегії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fseeding-part2","01.csharp\u002F10.ef-core\u002F14.seeding-part2",{"title":547,"path":548,"stem":549},"Global Query Filters — Глобальні Фільтри (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part1","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part1",{"title":551,"path":552,"stem":553},"Global Query Filters — Підводні камені та Інтеграція (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part2","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part2",{"title":555,"path":556,"stem":557},"LINQ-запити в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part1","01.csharp\u002F10.ef-core\u002F16.linq-queries-part1",{"title":559,"path":560,"stem":561},"LINQ-запити в EF Core (Частина 2)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part2","01.csharp\u002F10.ef-core\u002F16.linq-queries-part2",{"title":563,"path":564,"stem":565},"Завантаження Пов'язаних Даних (Частина 1)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part1","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part1",{"title":567,"path":568,"stem":569},"Завантаження Пов'язаних Даних (Частина 2)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part2","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part2",{"title":571,"path":572,"stem":573},"Raw SQL, Views та Stored Procedures (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part1","01.csharp\u002F10.ef-core\u002F18.raw-sql-part1",{"title":575,"path":576,"stem":577},"Raw SQL — Stored Procedures, DbFunction та Bulk Operations (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part2","01.csharp\u002F10.ef-core\u002F18.raw-sql-part2",{"title":579,"path":580,"stem":581},"Продвинуті Запити — Compiled Queries, Bulk та Оптимізація (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part1","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part1",{"title":583,"path":584,"stem":585},"Продвинуті Запити — Query Tags, Bulk та Interceptors (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part2","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part2",{"title":587,"path":588,"stem":589},"Change Tracker — Відстеження Змін (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part1","01.csharp\u002F10.ef-core\u002F20.change-tracking-part1",{"title":591,"path":592,"stem":593},"Change Tracker — Графи Об'єктів та Disconnected (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part2","01.csharp\u002F10.ef-core\u002F20.change-tracking-part2",{"title":595,"path":596,"stem":597},"Збереження Даних та Транзакції (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part1","01.csharp\u002F10.ef-core\u002F21.saving-data-part1",{"title":599,"path":600,"stem":601},"Збереження Даних — Concurrency та Outbox (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part2","01.csharp\u002F10.ef-core\u002F21.saving-data-part2",{"title":603,"path":604,"stem":605},"Конкурентність та Блокування (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part1","01.csharp\u002F10.ef-core\u002F22.concurrency-part1",{"title":607,"path":608,"stem":609},"Конкурентність — Дедлоки та Queue Processing (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part2","01.csharp\u002F10.ef-core\u002F22.concurrency-part2",{"title":611,"path":612,"stem":613},"Міграції в EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part1","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part1",{"title":615,"path":616,"stem":617},"Міграції в EF Core — Основи (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part2","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part2",{"title":619,"path":620,"stem":621},"Міграції — Просунуті Сценарії (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part1","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part1",{"title":623,"path":624,"stem":625},"Міграції — Просунуті Сценарії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part2","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part2",{"title":627,"path":628,"stem":629},"Управління Схемою та Database-First (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part1","01.csharp\u002F10.ef-core\u002F25.schema-management-part1",{"title":631,"path":632,"stem":633},"Управління Схемою та Database-First (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part2","01.csharp\u002F10.ef-core\u002F25.schema-management-part2",{"title":635,"path":636,"stem":637},"Продуктивність EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fperformance-fundamentals-part1","01.csharp\u002F10.ef-core\u002F26.performance-fundamentals-part1",{"title":639,"path":640,"stem":641},"Interceptors в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part1","01.csharp\u002F10.ef-core\u002F29.interceptors-part1",{"title":643,"path":644,"stem":645},"Interceptors в EF Core — Connection, Transaction та Materialization (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part2","01.csharp\u002F10.ef-core\u002F29.interceptors-part2",{"title":647,"path":648,"stem":649},"План вивчення Entity Framework Core — Повний курс","\u002Fcsharp\u002Fef-core\u002Fimplementation_plan","01.csharp\u002F10.ef-core\u002Fimplementation_plan",{"title":651,"icon":652,"path":653,"stem":654,"children":655,"page":59},"ASP.NET","i-devicon-dotnetcore","\u002Fcsharp\u002Faspnet","01.csharp\u002F11.aspnet",[656,730,791,869,927,941,967,1057,1111,1182,1212,1289,1346],{"title":657,"icon":658,"path":659,"stem":660,"children":661,"page":59},"Minimal API","i-lucide-network","\u002Fcsharp\u002Faspnet\u002Fminimal-api","01.csharp\u002F11.aspnet\u002F01.minimal-api",[662,666,670,674,678,682,686,690,694,698,702,706,710,714,718,722,726],{"title":663,"path":664,"stem":665},"Вступ до ASP.NET та еволюція фреймворку","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fintroduction","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F01.introduction",{"title":667,"path":668,"stem":669},"Перший додаток на ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Ffirst-application","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F02.first-application",{"title":671,"path":672,"stem":673},"WebApplication, Builder та Dependency Injection","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fwebapplication-builder","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F03.webapplication-builder",{"title":675,"path":676,"stem":677},"Конвеєр запитів та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frequest-pipeline-middleware","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F04.request-pipeline-middleware",{"title":679,"path":680,"stem":681},"Маршрутизація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F05.routing-basics",{"title":683,"path":684,"stem":685},"Маршрутизація в ASP.NET Core: Розширені можливості","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F06.routing-advanced",{"title":687,"path":688,"stem":689},"Статичні файли в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-files","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F07.static-files",{"title":691,"path":692,"stem":693},"Статичні Активи: MapStaticAssets (ASP.NET Core 9.0)","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-assets","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F08.static-assets",{"title":695,"path":696,"stem":697},"Конфігурація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-fundamentals","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F09.configuration-fundamentals",{"title":699,"path":700,"stem":701},"Конфігурація: Паттерн Options","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-options","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F10.configuration-options",{"title":703,"path":704,"stem":705},"Логування в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F11.logging-basics",{"title":707,"path":708,"stem":709},"Логування: Serilog та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F12.logging-advanced",{"title":711,"path":712,"stem":713},"Управління станом: HttpContext.Items та Cookies","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstate-management","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F13.state-management",{"title":715,"path":716,"stem":717},"Стан сесії: Sessions","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fsession-state","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F14.session-state",{"title":719,"path":720,"stem":721},"Структура проєкту: від хаосу до архітектури","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fproject-structure","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F15.project-structure",{"title":723,"path":724,"stem":725},"Scalar у Minimal API: повний проєкт і Fluent OpenAPI","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fscalar-openapi-fluent","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F16.scalar-openapi-fluent",{"title":727,"path":728,"stem":729},"Swagger \u002F Swashbuckle у Minimal API: окремий класичний шлях","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fswagger-swashbuckle","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F17.swagger-swashbuckle",{"title":731,"icon":658,"path":732,"stem":733,"children":734,"page":59},"API","\u002Fcsharp\u002Faspnet\u002Fapi","01.csharp\u002F11.aspnet\u002F02.api",[735,739,743,747,751,755,759,763,767,771,775,779,783,787],{"title":736,"path":737,"stem":738},"Що таке API. Клієнт-серверна архітектура","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fwhat-is-api","01.csharp\u002F11.aspnet\u002F02.api\u002F01.what-is-api",{"title":740,"path":741,"stem":742},"Формати даних: JSON, XML, TOML та бінарні формати","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fdata-formats","01.csharp\u002F11.aspnet\u002F02.api\u002F02.data-formats",{"title":744,"path":745,"stem":746},"Парадигми API та концепція REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-paradigms-rest","01.csharp\u002F11.aspnet\u002F02.api\u002F03.api-paradigms-rest",{"title":748,"path":749,"stem":750},"HTTP-методи, статус-коди та заголовки","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fhttp-methods-status-codes","01.csharp\u002F11.aspnet\u002F02.api\u002F04.http-methods-status-codes",{"title":752,"path":753,"stem":754},"Організація HTTP API за принципами REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Frest-organizing","01.csharp\u002F11.aspnet\u002F02.api\u002F05.rest-organizing",{"title":756,"path":757,"stem":758},"Номенклатура URL та CRUD-операції","\u002Fcsharp\u002Faspnet\u002Fapi\u002Furl-nomenclature-crud","01.csharp\u002F11.aspnet\u002F02.api\u002F06.url-nomenclature-crud",{"title":760,"path":761,"stem":762},"Правила дизайну: іменування та стандарти","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-naming","01.csharp\u002F11.aspnet\u002F02.api\u002F07.api-design-naming",{"title":764,"path":765,"stem":766},"Валідація, ліміти та обробка помилок","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-validation","01.csharp\u002F11.aspnet\u002F02.api\u002F08.api-design-validation",{"title":768,"path":769,"stem":770},"Обробка помилок у Minimal API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Ferror-handling-http","01.csharp\u002F11.aspnet\u002F02.api\u002F09.error-handling-http",{"title":772,"path":773,"stem":774},"Ідемпотентність та синхронізація стану","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fidempotency-sync","01.csharp\u002F11.aspnet\u002F02.api\u002F10.idempotency-sync",{"title":776,"path":777,"stem":778},"Пагінація та організація списків","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fpagination-lists","01.csharp\u002F11.aspnet\u002F02.api\u002F11.pagination-lists",{"title":780,"path":781,"stem":782},"Безпека API, кешування та інтернаціоналізація","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fsecurity-auth","01.csharp\u002F11.aspnet\u002F02.api\u002F12.security-auth",{"title":784,"path":785,"stem":786},"Процес проєктування API та документування","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-process","01.csharp\u002F11.aspnet\u002F02.api\u002F13.api-design-process",{"title":788,"path":789,"stem":790},"OpenAPI: контракт, специфікація та документація API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fopenapi","01.csharp\u002F11.aspnet\u002F02.api\u002F14.openapi",{"title":792,"icon":793,"path":794,"stem":795,"children":796,"page":59},"Auth","i-lucide-shield-check","\u002Fcsharp\u002Faspnet\u002Fauth","01.csharp\u002F11.aspnet\u002F03.auth",[797,801,805,809,813,817,821,825,829,833,837,841,845,849,853,857,861,865],{"title":798,"path":799,"stem":800},"Основи аутентифікації та авторизації","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauth-fundamentals","01.csharp\u002F11.aspnet\u002F03.auth\u002F01.auth-fundamentals",{"title":802,"path":803,"stem":804},"JWT-аутентифікація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fjwt-authentication","01.csharp\u002F11.aspnet\u002F03.auth\u002F02.jwt-authentication",{"title":806,"path":807,"stem":808},"Авторизація: ролі, політики та resource-based доступ","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauthorization-policies","01.csharp\u002F11.aspnet\u002F03.auth\u002F03.authorization-policies",{"title":810,"path":811,"stem":812},"Cookie-аутентифікація та ASP.NET Core Identity","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcookie-auth-identity","01.csharp\u002F11.aspnet\u002F03.auth\u002F04.cookie-auth-identity",{"title":814,"path":815,"stem":816},"JWT + Refresh Tokens (HttpOnly Cookie)","\u002Fcsharp\u002Faspnet\u002Fauth\u002F04b.identity-auth-jwt","01.csharp\u002F11.aspnet\u002F03.auth\u002F04b.identity-auth-jwt",{"title":818,"path":819,"stem":820},"Identity: Підтвердження Email та Скидання Пароля","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-email-confirmation","01.csharp\u002F11.aspnet\u002F03.auth\u002F05.identity-email-confirmation",{"title":822,"path":823,"stem":824},"Identity: Двофакторна Аутентифікація (2FA)","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-two-factor","01.csharp\u002F11.aspnet\u002F03.auth\u002F06.identity-two-factor",{"title":826,"path":827,"stem":828},"Identity: Внутрішня Архітектура та Кастомізація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-internals","01.csharp\u002F11.aspnet\u002F03.auth\u002F07.identity-internals",{"title":830,"path":831,"stem":832},"OAuth 2.0 та зовнішні провайдери","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-external-providers","01.csharp\u002F11.aspnet\u002F03.auth\u002F08.oauth-external-providers",{"title":834,"path":835,"stem":836},"Безпека на практиці: CORS, HTTPS та захист від атак","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fsecurity-hardening","01.csharp\u002F11.aspnet\u002F03.auth\u002F09.security-hardening",{"title":838,"path":839,"stem":840},"Теорія OAuth 2.0: Поняття, Аналогії та Флоу","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-theory","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oauth-theory",{"title":842,"path":843,"stem":844},"OIDC, OAuth 2.0 та Keycloak в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foidc-keycloak","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oidc-keycloak",{"title":846,"path":847,"stem":848},"API Keys аутентифікація в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fapi-keys","01.csharp\u002F11.aspnet\u002F03.auth\u002F11.api-keys",{"title":850,"path":851,"stem":852},"Rate Limiting та Throttling в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frate-limiting","01.csharp\u002F11.aspnet\u002F03.auth\u002F12.rate-limiting",{"title":854,"path":855,"stem":856},"Refresh Token Rotation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frefresh-token-rotation","01.csharp\u002F11.aspnet\u002F03.auth\u002F13.refresh-token-rotation",{"title":858,"path":859,"stem":860},"Certificate Authentication та mTLS в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcertificate-auth","01.csharp\u002F11.aspnet\u002F03.auth\u002F14.certificate-auth",{"title":862,"path":863,"stem":864},"RBAC, ABAC та ReBAC в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frbac-abac-rebac","01.csharp\u002F11.aspnet\u002F03.auth\u002F15.rbac-abac-rebac",{"title":866,"path":867,"stem":868},"Multi-tenancy та ізоляція даних в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fmulti-tenancy","01.csharp\u002F11.aspnet\u002F03.auth\u002F16.multi-tenancy",{"title":870,"icon":871,"path":872,"stem":873,"children":874,"page":59},"Нотифікації","i-lucide-bell","\u002Fcsharp\u002Faspnet\u002Fnotifications","01.csharp\u002F11.aspnet\u002F04.notifications",[875,879,883,887,891,895,899,903,907,911,915,919,923],{"title":876,"path":877,"stem":878},"In-App нотифікації через базу даних","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fin-app-database-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F01.in-app-database-notifications",{"title":880,"path":881,"stem":882},"Polling: Регулярний запит оновлень","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fpolling","01.csharp\u002F11.aspnet\u002F04.notifications\u002F02.polling",{"title":884,"path":885,"stem":886},"Server-Sent Events: Однострімовий push від сервера","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fserver-sent-events","01.csharp\u002F11.aspnet\u002F04.notifications\u002F03.server-sent-events",{"title":888,"path":889,"stem":890},"WebSockets: Двостороннє з'єднання в реальному часі","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fwebsockets","01.csharp\u002F11.aspnet\u002F04.notifications\u002F04.websockets",{"title":892,"path":893,"stem":894},"SignalR: Абстракція над транспортами реального часу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fsignalr","01.csharp\u002F11.aspnet\u002F04.notifications\u002F05.signalr",{"title":896,"path":897,"stem":898},"Background Services: Фонові задачі в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fbackground-services","01.csharp\u002F11.aspnet\u002F04.notifications\u002F06.background-services",{"title":900,"path":901,"stem":902},"Web Push нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fweb-push","01.csharp\u002F11.aspnet\u002F04.notifications\u002F07.web-push",{"title":904,"path":905,"stem":906},"Email нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Femail-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F08.email-notifications",{"title":908,"path":909,"stem":910},"Порівняння підходів: Як вибрати правильну технологію нотифікацій","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fchoosing-the-right-approach","01.csharp\u002F11.aspnet\u002F04.notifications\u002F09.choosing-the-right-approach",{"title":912,"path":913,"stem":914},"Hangfire: Надійне планування фонових задач","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire","01.csharp\u002F11.aspnet\u002F04.notifications\u002F10.hangfire",{"title":916,"path":917,"stem":918},"Практика: Конвертація зображень у WebP через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-image-webp","01.csharp\u002F11.aspnet\u002F04.notifications\u002F11.hangfire-image-webp",{"title":920,"path":921,"stem":922},"Практика: Підготовка відео до HLS-стрімінгу через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-video-hls","01.csharp\u002F11.aspnet\u002F04.notifications\u002F12.hangfire-video-hls",{"title":924,"path":925,"stem":926},"Telegram-нотифікації: від одного повідомлення до масових розсилок і мульти-канального підходу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Ftelegram-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F13.telegram-notifications",{"title":928,"icon":929,"path":930,"stem":931,"children":932,"page":59},"Інтернаціоналізація","i-lucide-languages","\u002Fcsharp\u002Faspnet\u002Fi18n","01.csharp\u002F11.aspnet\u002F05.i18n",[933,937],{"title":934,"path":935,"stem":936},"Інтернаціоналізація (i18n) у Minimal API: від A до Я","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Finternationalization","01.csharp\u002F11.aspnet\u002F05.i18n\u002F01.internationalization",{"title":938,"path":939,"stem":940},"Humanizer: людиномовні рядки у .NET","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Fhumanizer","01.csharp\u002F11.aspnet\u002F05.i18n\u002F02.humanizer",{"title":942,"icon":943,"path":944,"stem":945,"children":946,"page":59},"Кешування","i-lucide-layers","\u002Fcsharp\u002Faspnet\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching",[947,951,955,959,963],{"title":948,"path":949,"stem":950},"Огляд кешування: чотири рівні і коли що обирати","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching\u002F01.caching",{"title":952,"path":953,"stem":954},"IMemoryCache: кеш в оперативній пам'яті","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fmemory-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F02.memory-cache",{"title":956,"path":957,"stem":958},"IDistributedCache і Redis: розподілений кеш","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fdistributed-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F03.distributed-cache",{"title":960,"path":961,"stem":962},"Response Cache: HTTP-кешування через Cache-Control","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fresponse-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F04.response-cache",{"title":964,"path":965,"stem":966},"Output Cache: серверний кеш HTTP-відповідей (.NET 7+)","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Foutput-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F05.output-cache",{"title":968,"icon":969,"path":970,"stem":971,"children":972,"page":59},"Тестування","i-lucide-test-tube","\u002Fcsharp\u002Faspnet\u002Ftesting","01.csharp\u002F11.aspnet\u002F07.testing",[973,977,981,985,989,993,997,1001,1005,1009,1013,1017,1021,1025,1029,1033,1037,1041,1045,1049,1053],{"title":974,"path":975,"stem":976},"Що таке тестування? Від інтуїції до науки","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-is-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F01.what-is-testing",{"title":978,"path":979,"stem":980},"Піраміда тестування — Стратегія, а не Догма","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-pyramid","01.csharp\u002F11.aspnet\u002F07.testing\u002F02.testing-pyramid",{"title":982,"path":983,"stem":984},"Дві Школи Тестування — Лондон проти Детройту","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-schools","01.csharp\u002F11.aspnet\u002F07.testing\u002F03.testing-schools",{"title":986,"path":987,"stem":988},"TDD та BDD — Тести як Дизайн-інструмент","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftdd-and-bdd","01.csharp\u002F11.aspnet\u002F07.testing\u002F04.tdd-and-bdd",{"title":990,"path":991,"stem":992},"Що саме тестувати — Техніки аналізу та Циклomatична складність","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-to-test","01.csharp\u002F11.aspnet\u002F07.testing\u002F05.what-to-test",{"title":994,"path":995,"stem":996},"Тестові Фреймворки — Навіщо вони і що всередині","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftest-frameworks","01.csharp\u002F11.aspnet\u002F07.testing\u002F06.test-frameworks",{"title":998,"path":999,"stem":1000},"xUnit — Факти, Теорії та Lifecycle тестів","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-basics","01.csharp\u002F11.aspnet\u002F07.testing\u002F07.xunit-basics",{"title":1002,"path":1003,"stem":1004},"xUnit Advanced — Fixtures, Кастомізація та Розширення","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F08.xunit-advanced",{"title":1006,"path":1007,"stem":1008},"Moq — Глибоке занурення в мокування","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fmocking-with-moq","01.csharp\u002F11.aspnet\u002F07.testing\u002F09.mocking-with-moq",{"title":1010,"path":1011,"stem":1012},"Тестування Баз Даних — EF Core, SQLite та Testcontainers","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fdatabase-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F10.database-testing",{"title":1014,"path":1015,"stem":1016},"Integration Testing — Частина 1 [Теорія та WebApplicationFactory]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F11.integration-testing",{"title":1018,"path":1019,"stem":1020},"Інтеграційне тестування — Практика","\u002Fcsharp\u002Faspnet\u002Ftesting\u002F11a.integration-testing-practice","01.csharp\u002F11.aspnet\u002F07.testing\u002F11a.integration-testing-practice",{"title":1022,"path":1023,"stem":1024},"Integration Testing — Частина 2 [Просунуті Сценарії та Testcontainers]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F12.integration-testing-advanced",{"title":1026,"path":1027,"stem":1028},"Професійний Postman: Колекції, Змінні та GitHub Інтеграція","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fpostman-professional","01.csharp\u002F11.aspnet\u002F07.testing\u002F13.postman-professional",{"title":1030,"path":1031,"stem":1032},"HttpClient у Тестах Частина 1: Архітектура та MockHttpMessageHandler","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fhttpclient-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F14.httpclient-testing",{"title":1034,"path":1035,"stem":1036},"HttpClient у Тестах Частина 2: WireMock.Net та Resilience","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwiremock-net","01.csharp\u002F11.aspnet\u002F07.testing\u002F15.wiremock-net",{"title":1038,"path":1039,"stem":1040},"Патерни та Анти-патерни Тестування: Test Smells","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-patterns","01.csharp\u002F11.aspnet\u002F07.testing\u002F16.testing-patterns",{"title":1042,"path":1043,"stem":1044},"Просунуті інструменти: Time, Snapshots та Властивості","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fadvanced-testing-tools","01.csharp\u002F11.aspnet\u002F07.testing\u002F17.advanced-testing-tools",{"title":1046,"path":1047,"stem":1048},"Тестування Архітектури з NetArchTest","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Farchitecture-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F18.architecture-testing",{"title":1050,"path":1051,"stem":1052},"Тестування Продуктивності: BenchmarkDotNet, NBomber та k6","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fperformance-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F19.performance-testing",{"title":1054,"path":1055,"stem":1056},"Залишок плану для курсу \"Тестування ASP.NET Minimal API\"","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fremaining_plan","01.csharp\u002F11.aspnet\u002F07.testing\u002Fremaining_plan",{"title":1058,"icon":1059,"path":1060,"stem":1061,"children":1062,"page":59},"Платежі","i-lucide-credit-card","\u002Fcsharp\u002Faspnet\u002Fpayments","01.csharp\u002F11.aspnet\u002F08.payments",[1063,1067,1071,1075,1079,1083,1087,1091,1095,1099,1103,1107],{"title":1064,"path":1065,"stem":1066},"Основи платіжної інфраструктури","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-fundamentals","01.csharp\u002F11.aspnet\u002F08.payments\u002F01.payment-fundamentals",{"title":1068,"path":1069,"stem":1070},"Методи оплати в Україні","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-methods-ukraine","01.csharp\u002F11.aspnet\u002F08.payments\u002F02.payment-methods-ukraine",{"title":1072,"path":1073,"stem":1074},"PCI DSS та безпека платежів","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpci-dss-security","01.csharp\u002F11.aspnet\u002F08.payments\u002F03.pci-dss-security",{"title":1076,"path":1077,"stem":1078},"Архітектура платіжної підсистеми","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-architecture","01.csharp\u002F11.aspnet\u002F08.payments\u002F04.payment-architecture",{"title":1080,"path":1081,"stem":1082},"Інтеграція LiqPay (ПриватБанк)","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fliqpay-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F05.liqpay-integration",{"title":1084,"path":1085,"stem":1086},"Інтеграція Monobank Acquiring API","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fmonobank-acquiring","01.csharp\u002F11.aspnet\u002F08.payments\u002F06.monobank-acquiring",{"title":1088,"path":1089,"stem":1090},"Інтеграція Stripe","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fstripe-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F07.stripe-integration",{"title":1092,"path":1093,"stem":1094},"Webhooks — глибоке занурення","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fwebhooks-deep-dive","01.csharp\u002F11.aspnet\u002F08.payments\u002F08.webhooks-deep-dive",{"title":1096,"path":1097,"stem":1098},"Підписки та рекурентні платежі","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fsubscriptions-recurring","01.csharp\u002F11.aspnet\u002F08.payments\u002F09.subscriptions-recurring",{"title":1100,"path":1101,"stem":1102},"Повернення коштів та диспути","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Frefunds-disputes","01.csharp\u002F11.aspnet\u002F08.payments\u002F10.refunds-disputes",{"title":1104,"path":1105,"stem":1106},"Тестування платіжних інтеграцій","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Ftesting-payments","01.csharp\u002F11.aspnet\u002F08.payments\u002F11.testing-payments",{"title":1108,"path":1109,"stem":1110},"Чекліст виходу в Production","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fproduction-checklist","01.csharp\u002F11.aspnet\u002F08.payments\u002F12.production-checklist",{"title":1112,"icon":1113,"items":1114,"path":1127,"stem":1128,"children":1129,"page":59},"Популярні бібліотеки","lucide:box",[1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126],"01.fluent-validation","02.mapster","03.erroror-result-pattern","04.serilog","05.mediatr","06.polly","07.health-checks","08.feature-management","09.fluent-email","10.quest-pdf","11.bogus","12.humanizer-guard","\u002Fcsharp\u002Faspnet\u002Flibraries","01.csharp\u002F11.aspnet\u002F09.libraries",[1130,1134,1138,1142,1146,1150,1154,1158,1162,1166,1170,1174,1178],{"title":1131,"path":1132,"stem":1133},"Валідація з FluentValidation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-validation","01.csharp\u002F11.aspnet\u002F09.libraries\u002F01.fluent-validation",{"title":1135,"path":1136,"stem":1137},"Маппінг об","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmapster","01.csharp\u002F11.aspnet\u002F09.libraries\u002F02.mapster",{"title":1139,"path":1140,"stem":1141},"Обробка помилок з ErrorOr та Result Pattern в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ferroror-result-pattern","01.csharp\u002F11.aspnet\u002F09.libraries\u002F03.erroror-result-pattern",{"title":1143,"path":1144,"stem":1145},"Структуроване логування з Serilog в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fserilog","01.csharp\u002F11.aspnet\u002F09.libraries\u002F04.serilog",{"title":1147,"path":1148,"stem":1149},"CQRS та Mediator з MediatR в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmediatr","01.csharp\u002F11.aspnet\u002F09.libraries\u002F05.mediatr",{"title":1151,"path":1152,"stem":1153},"Відмовостійкість з Polly в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fpolly","01.csharp\u002F11.aspnet\u002F09.libraries\u002F06.polly",{"title":1155,"path":1156,"stem":1157},"Health Checks в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F09.libraries\u002F07.health-checks",{"title":1159,"path":1160,"stem":1161},"Feature Management та Feature Flags в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffeature-management","01.csharp\u002F11.aspnet\u002F09.libraries\u002F08.feature-management",{"title":1163,"path":1164,"stem":1165},"Відправка Email з FluentEmail в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-email","01.csharp\u002F11.aspnet\u002F09.libraries\u002F09.fluent-email",{"title":1167,"path":1168,"stem":1169},"Генерація PDF з QuestPDF в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fquest-pdf","01.csharp\u002F11.aspnet\u002F09.libraries\u002F10.quest-pdf",{"title":1171,"path":1172,"stem":1173},"Генерація тестових даних з Bogus в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fbogus","01.csharp\u002F11.aspnet\u002F09.libraries\u002F11.bogus",{"title":1175,"path":1176,"stem":1177},"Humanizer та Guard Clauses в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhumanizer-guard","01.csharp\u002F11.aspnet\u002F09.libraries\u002F12.humanizer-guard",{"title":1179,"path":1180,"stem":1181},"План модуля 10.libraries — Популярні бібліотеки ASP.NET","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fplan","01.csharp\u002F11.aspnet\u002F09.libraries\u002Fplan",{"title":1183,"icon":1184,"path":1185,"stem":1186,"children":1187,"page":59},"Razor Pages","i-lucide-layout-template","\u002Fcsharp\u002Faspnet\u002Frazor-pages","01.csharp\u002F11.aspnet\u002F10.razor-pages",[1188,1192,1196,1200,1204,1208],{"title":1189,"path":1190,"stem":1191},"Від Minimal API до Razor Pages: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ffrom-minimal-api","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F01.from-minimal-api",{"title":1193,"path":1194,"stem":1195},"PageModel: логіка сторінки Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fpage-model","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F02.page-model",{"title":1197,"path":1198,"stem":1199},"Razor синтаксис: шаблонізатор у .cshtml","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Frazor-syntax","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F03.razor-syntax",{"title":1201,"path":1202,"stem":1203},"Tag Helpers: типізований HTML","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ftag-helpers","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F04.tag-helpers",{"title":1205,"path":1206,"stem":1207},"Форми і валідація: повний цикл обробки даних","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fforms-validation","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F05.forms-validation",{"title":1209,"path":1210,"stem":1211},"Практичний проєкт: TaskManager на Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fproject-task-manager","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F06.project-task-manager",{"title":1213,"path":1214,"stem":1215,"children":1216,"page":59},"ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc","01.csharp\u002F11.aspnet\u002F11.mvc",[1217,1221,1225,1229,1233,1237,1241,1245,1249,1253,1257,1261,1265,1269,1273,1277,1281,1285],{"title":1218,"path":1219,"stem":1220},"Патерн MVC: архітектура, що змінила веб","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-pattern","01.csharp\u002F11.aspnet\u002F11.mvc\u002F01.mvc-pattern",{"title":1222,"path":1223,"stem":1224},"Від Razor Pages до MVC: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffrom-razor-pages","01.csharp\u002F11.aspnet\u002F11.mvc\u002F02.from-razor-pages",{"title":1226,"path":1227,"stem":1228},"Controllers та Actions: серце MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fcontrollers-actions","01.csharp\u002F11.aspnet\u002F11.mvc\u002F03.controllers-actions",{"title":1230,"path":1231,"stem":1232},"Маршрутизація в MVC: Convention vs Attribute Routing","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Frouting-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F04.routing-mvc",{"title":1234,"path":1235,"stem":1236},"Model Binding: від HTTP до C#","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmodel-binding","01.csharp\u002F11.aspnet\u002F11.mvc\u002F05.model-binding",{"title":1238,"path":1239,"stem":1240},"Views, ViewData, ViewBag, TempData і ViewModel","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fviews-viewdata-tempdata","01.csharp\u002F11.aspnet\u002F11.mvc\u002F06.views-viewdata-tempdata",{"title":1242,"path":1243,"stem":1244},"Filters: аспектно-орієнтоване програмування в MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffilters","01.csharp\u002F11.aspnet\u002F11.mvc\u002F07.filters",{"title":1246,"path":1247,"stem":1248},"Areas: структурування великих застосунків","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fareas","01.csharp\u002F11.aspnet\u002F11.mvc\u002F08.areas",{"title":1250,"path":1251,"stem":1252},"View Components: повторювані незалежні блоки UI","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fview-components","01.csharp\u002F11.aspnet\u002F11.mvc\u002F09.view-components",{"title":1254,"path":1255,"stem":1256},"Display та Editor Templates","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fdisplay-editor-templates","01.csharp\u002F11.aspnet\u002F11.mvc\u002F10.display-editor-templates",{"title":1258,"path":1259,"stem":1260},"Валідація: IValidatableObject та FluentValidation","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fvalidation-advanced","01.csharp\u002F11.aspnet\u002F11.mvc\u002F11.validation-advanced",{"title":1262,"path":1263,"stem":1264},"HTMX: інтерактивність через HTML-атрибути","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx","01.csharp\u002F11.aspnet\u002F11.mvc\u002F12.htmx",{"title":1266,"path":1267,"stem":1268},"HTMX у ASP.NET Core MVC: серверна інтеграція","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fajax-htmx-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F13.ajax-htmx-mvc",{"title":1270,"path":1271,"stem":1272},"Практичний проєкт: Каталог товарів з HTMX","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F14.htmx-project",{"title":1274,"path":1275,"stem":1276},"Завантаження та обробка файлів","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffile-upload","01.csharp\u002F11.aspnet\u002F11.mvc\u002F15.file-upload",{"title":1278,"path":1279,"stem":1280},"Глобалізація та Локалізація MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fglobalization-localization","01.csharp\u002F11.aspnet\u002F11.mvc\u002F16.globalization-localization",{"title":1282,"path":1283,"stem":1284},"Підсумковий проєкт: Блог-платформа","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F17.mvc-project",{"title":1286,"path":1287,"stem":1288},"План курсу: ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fplan","01.csharp\u002F11.aspnet\u002F11.mvc\u002Fplan",{"title":1290,"path":1291,"stem":1292,"children":1293,"page":59},"Web Api","\u002Fcsharp\u002Faspnet\u002Fweb-api","01.csharp\u002F11.aspnet\u002F12.web-api",[1294,1298,1302,1306,1310,1314,1318,1322,1326,1330,1334,1338,1342],{"title":1295,"path":1296,"stem":1297},"Від Minimal API до Controller-based API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffrom-minimal-api-to-controllers","01.csharp\u002F11.aspnet\u002F12.web-api\u002F01.from-minimal-api-to-controllers",{"title":1299,"path":1300,"stem":1301},"ControllerBase, ActionResult\u003CT> та Response Types","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontroller-base-actionresult","01.csharp\u002F11.aspnet\u002F12.web-api\u002F02.controller-base-actionresult",{"title":1303,"path":1304,"stem":1305},"Content Negotiation - JSON, XML та власні форматери","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontent-negotiation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F03.content-negotiation",{"title":1307,"path":1308,"stem":1309},"Версіонування API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-versioning","01.csharp\u002F11.aspnet\u002F12.web-api\u002F04.api-versioning",{"title":1311,"path":1312,"stem":1313},"ProblemDetails та структурована обробка помилок","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fproblemdetails-error-handling","01.csharp\u002F11.aspnet\u002F12.web-api\u002F05.problemdetails-error-handling",{"title":1315,"path":1316,"stem":1317},"Фільтри у Web API контексті","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffilters-for-api","01.csharp\u002F11.aspnet\u002F12.web-api\u002F06.filters-for-api",{"title":1319,"path":1320,"stem":1321},"Пагінація, фільтрація та сортування","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fpagination-filtering-sorting","01.csharp\u002F11.aspnet\u002F12.web-api\u002F07.pagination-filtering-sorting",{"title":1323,"path":1324,"stem":1325},"HATEOAS та Resource Expansion","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhateoas-resource-expansion","01.csharp\u002F11.aspnet\u002F12.web-api\u002F08.hateoas-resource-expansion",{"title":1327,"path":1328,"stem":1329},"Гібридна архітектура - Minimal API + Controllers","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fminimal-api-vs-controllers-hybrid","01.csharp\u002F11.aspnet\u002F12.web-api\u002F09.minimal-api-vs-controllers-hybrid",{"title":1331,"path":1332,"stem":1333},"Документація API - Swashbuckle, NSwag та генерація клієнтів","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-documentation-generation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F10.api-documentation-generation",{"title":1335,"path":1336,"stem":1337},"Health Checks та моніторинг API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhealth-checks-monitoring","01.csharp\u002F11.aspnet\u002F12.web-api\u002F11.health-checks-monitoring",{"title":1339,"path":1340,"stem":1341},"Підсумковий проєкт - Production-Ready REST API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fweb-api-project","01.csharp\u002F11.aspnet\u002F12.web-api\u002F12.web-api-project",{"title":1343,"path":1344,"stem":1345},"План курсу: ASP.NET Core Web API (Controllers)","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fplan","01.csharp\u002F11.aspnet\u002F12.web-api\u002Fplan",{"title":1347,"icon":1348,"path":1349,"stem":1350,"children":1351,"page":59},"Моніторинг","i-lucide-activity","\u002Fcsharp\u002Faspnet\u002Fmonitoring","01.csharp\u002F11.aspnet\u002F13.monitoring",[1352,1356,1360],{"title":1353,"path":1354,"stem":1355},"Спостережуваність: від console.log до production-систем","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fobservability-intro","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F01.observability-intro",{"title":1357,"path":1358,"stem":1359},"Health Checks: перший рівень observability","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F02.health-checks",{"title":1361,"path":1362,"stem":1363},"Вбудовані метрики .NET 10 та System.Diagnostics.Metrics","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fdotnet-metrics","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F03.dotnet-metrics",{"title":1365,"icon":1366,"path":1367,"stem":1368,"children":1369,"page":59},"Desktop UI","i-lucide-app-window","\u002Fcsharp\u002Fdesktop-ui","01.csharp\u002F12.desktop-ui",[1370,1374,1378,1382,1386,1390,1394,1398,1402,1406,1410,1414,1418,1422,1426,1430,1434,1438,1442,1446,1450,1454,1458,1462,1466,1470,1474,1478,1482,1486,1490,1494,1498,1502,1506,1510,1514,1518,1522,1526,1530,1534,1538,1542,1546,1550,1554,1558,1562,1566,1570,1574,1578,1582,1586,1590,1594,1598,1602,1606,1610,1614,1618,1622,1626,1630,1634,1638,1642,1646,1650],{"title":1371,"path":1372,"stem":1373},"Що таке десктопна розробка?","\u002Fcsharp\u002Fdesktop-ui\u002Fwhat-is-desktop-dev","01.csharp\u002F12.desktop-ui\u002F01.what-is-desktop-dev",{"title":1375,"path":1376,"stem":1377},"Архітектура WPF — як влаштований графічний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-architecture","01.csharp\u002F12.desktop-ui\u002F02.wpf-architecture",{"title":1379,"path":1380,"stem":1381},"Перший WPF-проєкт — від нуля до вікна","\u002Fcsharp\u002Fdesktop-ui\u002Ffirst-wpf-app","01.csharp\u002F12.desktop-ui\u002F03.first-wpf-app",{"title":1383,"path":1384,"stem":1385},"Перший Avalonia-проєкт: WPF для всіх платформ","\u002Fcsharp\u002Fdesktop-ui\u002F03a.first-avalonia-app","01.csharp\u002F12.desktop-ui\u002F03a.first-avalonia-app",{"title":1387,"path":1388,"stem":1389},"XAML: декларативний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-basics","01.csharp\u002F12.desktop-ui\u002F04.xaml-basics",{"title":1391,"path":1392,"stem":1393},"Fluent UI у WPF — сучасний дизайн Windows 11","\u002Fcsharp\u002Fdesktop-ui\u002F04a.wpf-fluent-ui","01.csharp\u002F12.desktop-ui\u002F04a.wpf-fluent-ui",{"title":1395,"path":1396,"stem":1397},"WPF UI — сучасна бібліотека Fluent контролів","\u002Fcsharp\u002Fdesktop-ui\u002F04b.wpf-ui-library","01.csharp\u002F12.desktop-ui\u002F04b.wpf-ui-library",{"title":1399,"path":1400,"stem":1401},"HandyControl — велика бібліотека UI контролів для WPF","\u002Fcsharp\u002Fdesktop-ui\u002F04c.handycontrol-library","01.csharp\u002F12.desktop-ui\u002F04c.handycontrol-library",{"title":1403,"path":1404,"stem":1405},"Простори імен та ресурси XAML","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-namespaces-resources","01.csharp\u002F12.desktop-ui\u002F05.xaml-namespaces-resources",{"title":1407,"path":1408,"stem":1409},"XAML в Avalonia: ключові відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F05a.avalonia-xaml-differences","01.csharp\u002F12.desktop-ui\u002F05a.avalonia-xaml-differences",{"title":1411,"path":1412,"stem":1413},"Розширення розмітки XAML (Markup Extensions)","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-markup-extensions","01.csharp\u002F12.desktop-ui\u002F06.xaml-markup-extensions",{"title":1415,"path":1416,"stem":1417},"Панелі Layout: StackPanel, WrapPanel, DockPanel","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part1","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part1",{"title":1419,"path":1420,"stem":1421},"Grid, Canvas, UniformGrid","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part2","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part2",{"title":1423,"path":1424,"stem":1425},"Просунуті техніки Layout","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-advanced","01.csharp\u002F12.desktop-ui\u002F08.layout-advanced",{"title":1427,"path":1428,"stem":1429},"Адаптивний Layout та найкращі практики","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-responsive","01.csharp\u002F12.desktop-ui\u002F09.layout-responsive",{"title":1431,"path":1432,"stem":1433},"Layout в Avalonia: відмінності та нові можливості","\u002Fcsharp\u002Fdesktop-ui\u002F09a.layout-avalonia","01.csharp\u002F12.desktop-ui\u002F09a.layout-avalonia",{"title":1435,"path":1436,"stem":1437},"Button, Image, ProgressBar та інші базові контроли","\u002Fcsharp\u002Fdesktop-ui\u002Fbasic-controls","01.csharp\u002F12.desktop-ui\u002F10.basic-controls",{"title":1439,"path":1440,"stem":1441},"Контроли в Avalonia: відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F10a.controls-avalonia","01.csharp\u002F12.desktop-ui\u002F10a.controls-avalonia",{"title":1443,"path":1444,"stem":1445},"Текстові контроли — TextBlock, TextBox, RichTextBox","\u002Fcsharp\u002Fdesktop-ui\u002Ftext-controls","01.csharp\u002F12.desktop-ui\u002F11.text-controls",{"title":1447,"path":1448,"stem":1449},"Контроли вибору — CheckBox, RadioButton, ComboBox, ListBox, DatePicker","\u002Fcsharp\u002Fdesktop-ui\u002Fselection-controls","01.csharp\u002F12.desktop-ui\u002F12.selection-controls",{"title":1451,"path":1452,"stem":1453},"Content Model — GroupBox, Expander, TabControl, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fcontent-controls","01.csharp\u002F12.desktop-ui\u002F13.content-controls",{"title":1455,"path":1456,"stem":1457},"UI\u002FUX принципи десктопних застосунків","\u002Fcsharp\u002Fdesktop-ui\u002F13a.ui-ux-principles","01.csharp\u002F12.desktop-ui\u002F13a.ui-ux-principles",{"title":1459,"path":1460,"stem":1461},"Dependency Properties — Концепція та Value Resolution","\u002Fcsharp\u002Fdesktop-ui\u002Fdependency-properties-part1","01.csharp\u002F12.desktop-ui\u002F14.dependency-properties-part1",{"title":1463,"path":1464,"stem":1465},"Avalonia Property System — StyledProperty та DirectProperty","\u002Fcsharp\u002Fdesktop-ui\u002F14a.avalonia-property-system","01.csharp\u002F12.desktop-ui\u002F14a.avalonia-property-system",{"title":1467,"path":1468,"stem":1469},"Attached Properties — Властивості без меж","\u002Fcsharp\u002Fdesktop-ui\u002Fattached-properties","01.csharp\u002F12.desktop-ui\u002F15.attached-properties",{"title":1471,"path":1472,"stem":1473},"Routed Events — Маршрутизація подій у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Frouted-events","01.csharp\u002F12.desktop-ui\u002F16.routed-events",{"title":1475,"path":1476,"stem":1477},"Data Binding — Від Code-Behind до Декларативності","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part1","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part1",{"title":1479,"path":1480,"stem":1481},"INotifyPropertyChanged — Живе оновлення UI","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part2","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part2",{"title":1483,"path":1484,"stem":1485},"Compiled Bindings в Avalonia — Безпека на етапі компіляції","\u002Fcsharp\u002Fdesktop-ui\u002F17a.avalonia-compiled-bindings","01.csharp\u002F12.desktop-ui\u002F17a.avalonia-compiled-bindings",{"title":1487,"path":1488,"stem":1489},"Просунутий Data Binding — ElementName, RelativeSource, MultiBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-advanced","01.csharp\u002F12.desktop-ui\u002F18.data-binding-advanced",{"title":1491,"path":1492,"stem":1493},"Value Converters — Перетворення типів даних у Data Binding","\u002Fcsharp\u002Fdesktop-ui\u002Fvalue-converters","01.csharp\u002F12.desktop-ui\u002F19.value-converters",{"title":1495,"path":1496,"stem":1497},"Data Templates — Візуалізація об'єктів у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-templates","01.csharp\u002F12.desktop-ui\u002F20.data-templates",{"title":1499,"path":1500,"stem":1501},"Collections Binding Part 1 — ObservableCollection та ItemsControl","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part1","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part1",{"title":1503,"path":1504,"stem":1505},"Collections Binding Part 2 — ICollectionView, Filtering, Sorting та Virtualization","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part2","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part2",{"title":1507,"path":1508,"stem":1509},"MVVM Pattern — Від Spaghetti Code до архітектури","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-pattern","01.csharp\u002F12.desktop-ui\u002F22.mvvm-pattern",{"title":1511,"path":1512,"stem":1513},"ViewModel Implementation — Від BaseViewModel до валідації","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-implementation","01.csharp\u002F12.desktop-ui\u002F23.viewmodel-implementation",{"title":1515,"path":1516,"stem":1517},"Commands — Від event handlers до декларативних команд","\u002Fcsharp\u002Fdesktop-ui\u002Fcommands","01.csharp\u002F12.desktop-ui\u002F24.commands",{"title":1519,"path":1520,"stem":1521},"MVVM Toolkit — MVVM без boilerplate через Source Generators","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-toolkit","01.csharp\u002F12.desktop-ui\u002F25.mvvm-toolkit",{"title":1523,"path":1524,"stem":1525},"Messenger Pattern — Комунікація між ViewModel без прямих посилань","\u002Fcsharp\u002Fdesktop-ui\u002Fmessenger-pattern","01.csharp\u002F12.desktop-ui\u002F26.messenger-pattern",{"title":1527,"path":1528,"stem":1529},"Стилі WPF — CSS для десктопу","\u002Fcsharp\u002Fdesktop-ui\u002Fstyles-basics","01.csharp\u002F12.desktop-ui\u002F27.styles-basics",{"title":1531,"path":1532,"stem":1533},"CSS-like стилі Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F27a.avalonia-css-styling","01.csharp\u002F12.desktop-ui\u002F27a.avalonia-css-styling",{"title":1535,"path":1536,"stem":1537},"Control Templates — Частина 1. Концепція та TemplateBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part1","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part1",{"title":1539,"path":1540,"stem":1541},"Control Templates — Частина 2. Named Parts та ContentPresenter","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part2","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part2",{"title":1543,"path":1544,"stem":1545},"Control Themes в Avalonia — нова ера стилізації","\u002Fcsharp\u002Fdesktop-ui\u002F28a.avalonia-control-themes","01.csharp\u002F12.desktop-ui\u002F28a.avalonia-control-themes",{"title":1547,"path":1548,"stem":1549},"Triggers та Visual State Manager у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Ftriggers-visual-states","01.csharp\u002F12.desktop-ui\u002F29.triggers-visual-states",{"title":1551,"path":1552,"stem":1553},"Pseudo-classes в Avalonia — замість WPF Triggers","\u002Fcsharp\u002Fdesktop-ui\u002F29a.avalonia-pseudo-classes","01.csharp\u002F12.desktop-ui\u002F29a.avalonia-pseudo-classes",{"title":1555,"path":1556,"stem":1557},"Теми та ресурсні словники у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fresources-themes","01.csharp\u002F12.desktop-ui\u002F30.resources-themes",{"title":1559,"path":1560,"stem":1561},"Avalonia Themes — Fluent Design та система тематизації","\u002Fcsharp\u002Fdesktop-ui\u002F30a.avalonia-themes-fluent","01.csharp\u002F12.desktop-ui\u002F30a.avalonia-themes-fluent",{"title":1563,"path":1564,"stem":1565},"Контроли колекцій — глибоке занурення","\u002Fcsharp\u002Fdesktop-ui\u002Fcollection-controls","01.csharp\u002F12.desktop-ui\u002F31.collection-controls",{"title":1567,"path":1568,"stem":1569},"DataGrid — колонки та базове відображення","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part1","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part1",{"title":1571,"path":1572,"stem":1573},"DataGrid — сортування, фільтрація, редагування","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part2","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part2",{"title":1575,"path":1576,"stem":1577},"TreeView та GridView","\u002Fcsharp\u002Fdesktop-ui\u002Ftreeview-listview","01.csharp\u002F12.desktop-ui\u002F33.treeview-listview",{"title":1579,"path":1580,"stem":1581},"Меню, Toolbar, ContextMenu, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fmenus-toolbars","01.csharp\u002F12.desktop-ui\u002F34.menus-toolbars",{"title":1583,"path":1584,"stem":1585},"Навігація та керування вікнами. Частина 1: вікна та сторінки","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part1","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part1",{"title":1587,"path":1588,"stem":1589},"Навігація та керування вікнами. Частина 2: MVVM-навігація","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part2","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part2",{"title":1591,"path":1592,"stem":1593},"Avalonia — Навігація та діалоги","\u002Fcsharp\u002Fdesktop-ui\u002F35a.avalonia-navigation-dialogs","01.csharp\u002F12.desktop-ui\u002F35a.avalonia-navigation-dialogs",{"title":1595,"path":1596,"stem":1597},"Діалоги та File Pickers у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdialogs-file-pickers","01.csharp\u002F12.desktop-ui\u002F36.dialogs-file-pickers",{"title":1599,"path":1600,"stem":1601},"UserControl: компонентний підхід у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fuser-controls","01.csharp\u002F12.desktop-ui\u002F37.user-controls",{"title":1603,"path":1604,"stem":1605},"Custom Controls: Lookless Controls у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fcustom-controls","01.csharp\u002F12.desktop-ui\u002F38.custom-controls",{"title":1607,"path":1608,"stem":1609},"Avalonia TemplatedControl — Lookless Controls","\u002Fcsharp\u002Fdesktop-ui\u002F38a.avalonia-templated-controls","01.csharp\u002F12.desktop-ui\u002F38a.avalonia-templated-controls",{"title":1611,"path":1612,"stem":1613},"Анімації у WPF: Storyboard та Easing Functions","\u002Fcsharp\u002Fdesktop-ui\u002Fanimations-transitions","01.csharp\u002F12.desktop-ui\u002F39.animations-transitions",{"title":1615,"path":1616,"stem":1617},"Анімації в Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F39a.avalonia-animations","01.csharp\u002F12.desktop-ui\u002F39a.avalonia-animations",{"title":1619,"path":1620,"stem":1621},"2D Графіка та Мультимедіа у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fmedia-graphics","01.csharp\u002F12.desktop-ui\u002F40.media-graphics",{"title":1623,"path":1624,"stem":1625},"Dependency Injection у WPF та Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Fdi-integration","01.csharp\u002F12.desktop-ui\u002F41.di-integration",{"title":1627,"path":1628,"stem":1629},"SQLite та EF Core у десктопних додатках","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part1","01.csharp\u002F12.desktop-ui\u002F42.data-persistence-part1",{"title":1631,"path":1632,"stem":1633},"Repository Pattern та Unit of Work","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part2","01.csharp\u002F12.desktop-ui\u002F43.data-persistence-part2",{"title":1635,"path":1636,"stem":1637},"Тестування ViewModels","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-testing","01.csharp\u002F12.desktop-ui\u002F44.viewmodel-testing",{"title":1639,"path":1640,"stem":1641},"Avalonia Headless Testing — тестування UI без вікон","\u002Fcsharp\u002Fdesktop-ui\u002F44a.avalonia-headless-testing","01.csharp\u002F12.desktop-ui\u002F44a.avalonia-headless-testing",{"title":1643,"path":1644,"stem":1645},"Кросплатформна розробка з Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-cross-platform","01.csharp\u002F12.desktop-ui\u002F45.avalonia-cross-platform",{"title":1647,"path":1648,"stem":1649},"Пакування та розгортання Avalonia додатків","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F46.avalonia-packaging-deployment",{"title":1651,"path":1652,"stem":1653},"Розгортання WPF застосунків","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F47.wpf-packaging-deployment",{"title":1655,"icon":658,"path":1656,"stem":1657,"children":1658,"page":59},"Network Programming","\u002Fcsharp\u002Fnetwork-programming","01.csharp\u002F13.network-programming",[1659,1663,1667,1671,1675,1679,1683,1687,1691,1695,1699],{"title":1660,"path":1661,"stem":1662},"Основи комп'ютерних мереж","\u002Fcsharp\u002Fnetwork-programming\u002Ffoundations","01.csharp\u002F13.network-programming\u002F01.foundations",{"title":1664,"path":1665,"stem":1666},"Модель OSI та стек TCP\u002FIP","\u002Fcsharp\u002Fnetwork-programming\u002Fosi-model","01.csharp\u002F13.network-programming\u002F02.osi-model",{"title":1668,"path":1669,"stem":1670},"IP-протокол та адресація","\u002Fcsharp\u002Fnetwork-programming\u002Fip-addressing","01.csharp\u002F13.network-programming\u002F03.ip-addressing",{"title":1672,"path":1673,"stem":1674},"UDP — протокол без з'єднання","\u002Fcsharp\u002Fnetwork-programming\u002Fudp","01.csharp\u002F13.network-programming\u002F05.udp",{"title":1676,"path":1677,"stem":1678},"UDP Broadcast та Multicast","\u002Fcsharp\u002Fnetwork-programming\u002Fudp-broadcast-multicast","01.csharp\u002F13.network-programming\u002F06.udp-broadcast-multicast",{"title":1680,"path":1681,"stem":1682},"HTTP — протокол вебу","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-fundamentals","01.csharp\u002F13.network-programming\u002F07.http-fundamentals",{"title":1684,"path":1685,"stem":1686},"HttpListener — вбудований HTTP-сервер .NET","\u002Fcsharp\u002Fnetwork-programming\u002F07a.http-listener","01.csharp\u002F13.network-programming\u002F07a.http-listener",{"title":1688,"path":1689,"stem":1690},"HTTP Advanced — cookies, аутентифікація та HTTPS","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-advanced","01.csharp\u002F13.network-programming\u002F08.http-advanced",{"title":1692,"path":1693,"stem":1694},"SMTP та протоколи електронної пошти","\u002Fcsharp\u002Fnetwork-programming\u002Fsmtp","01.csharp\u002F13.network-programming\u002F09.smtp",{"title":1696,"path":1697,"stem":1698},"WebSocket — повнодуплексний протокол реального часу","\u002Fcsharp\u002Fnetwork-programming\u002Fwebsockets","01.csharp\u002F13.network-programming\u002F10.websockets",{"title":1700,"path":1701,"stem":1702},"TLS\u002FSSL — криптографічний захист мережевих з'єднань","\u002Fcsharp\u002Fnetwork-programming\u002Ftls-ssl","01.csharp\u002F13.network-programming\u002F11.tls-ssl",{"title":1704,"path":1705,"stem":1706},"C# & .NET: The Ultimate Roadmap","\u002Fcsharp\u002Froadmap","01.csharp\u002Froadmap",{"title":1708,"icon":1709,"path":1710,"stem":1711,"children":1712,"page":59},"C++","i-devicon-cplusplus","\u002Fcpp","02.cpp",[1713,1717,1721,1725,1729,1733,1737,1741,1745,1748,1752,1756,1760,1764,1768,1772,1776,1780,1784,1788,1792,1796,1800,1804,1808,1812,1816,1820,1824,1828,1832,1836,1840,1844,1848,1852,1856,1860,1864,1868,1872,1876,1880,1884,1888,1892,1896,1900,1904,1908,1912,1916,1920,1924,1928,1932,1936,1940,1944,1948,1952,1956,1960,1964,1968,1972,1976,1980,1984,1988,1992,1996,2000,2004,2008,2012,2016,2020,2024,2028,2032,2036,2040,2044,2048,2052,2056,2060,2064,2068,2072,2076,2080],{"title":1714,"path":1715,"stem":1716},"Вступ у програмування та алгоритми","\u002Fcpp\u002Fintro-algorithms","02.cpp\u002F01.intro-algorithms",{"title":1718,"path":1719,"stem":1720},"Code Style: угоди про оформлення коду","\u002Fcpp\u002Fcode-style","02.cpp\u002F02.code-style",{"title":1722,"path":1723,"stem":1724},"Середовище розробки та перший проєкт","\u002Fcpp\u002Fide-setup","02.cpp\u002F03.ide-setup",{"title":1726,"path":1727,"stem":1728},"Вивід даних на екран","\u002Fcpp\u002Fdata-output","02.cpp\u002F04.data-output",{"title":1730,"path":1731,"stem":1732},"Типи даних, змінні та константи","\u002Fcpp\u002Fdata-types-variables","02.cpp\u002F05.data-types-variables",{"title":1734,"path":1735,"stem":1736},"Ввід даних з клавіатури","\u002Fcpp\u002Fdata-input","02.cpp\u002F06.data-input",{"title":1738,"path":1739,"stem":1740},"Оператори, перетворення типів та логічні операції","\u002Fcpp\u002Foperators-type-conversion","02.cpp\u002F07.operators-type-conversion",{"title":1742,"path":1743,"stem":1744},"Цикли","\u002Fcpp\u002Floops","02.cpp\u002F08.loops",{"title":32,"path":1746,"stem":1747},"\u002Fcpp\u002Farrays","02.cpp\u002F09.arrays",{"title":1749,"path":1750,"stem":1751},"Алгоритми сортування та аналіз складності","\u002Fcpp\u002Fsorting","02.cpp\u002F10.sorting",{"title":1753,"path":1754,"stem":1755},"Алгоритми пошуку","\u002Fcpp\u002Fsearching","02.cpp\u002F11.searching",{"title":1757,"path":1758,"stem":1759},"Функції: основи","\u002Fcpp\u002Ffunctions-basics","02.cpp\u002F12.functions-basics",{"title":1761,"path":1762,"stem":1763},"Функції: прототипи, область видимості та додаткові можливості","\u002Fcpp\u002Ffunctions-scope","02.cpp\u002F13.functions-scope",{"title":1765,"path":1766,"stem":1767},"Функції: перевантаження та шаблони","\u002Fcpp\u002Ffunctions-overloading-templates","02.cpp\u002F14.functions-overloading-templates",{"title":1769,"path":1770,"stem":1771},"Вказівники: основи","\u002Fcpp\u002Fpointers-basics","02.cpp\u002F15.pointers-basics",{"title":1773,"path":1774,"stem":1775},"Посилання (References)","\u002Fcpp\u002Freferences","02.cpp\u002F16.references",{"title":1777,"path":1778,"stem":1779},"Вказівники, const і масиви","\u002Fcpp\u002Fpointers-const-arrays","02.cpp\u002F17.pointers-const-arrays",{"title":1781,"path":1782,"stem":1783},"Адресна арифметика","\u002Fcpp\u002Fpointer-arithmetic","02.cpp\u002F18.pointer-arithmetic",{"title":1785,"path":1786,"stem":1787},"Динамічна пам'ять","\u002Fcpp\u002Fdynamic-memory","02.cpp\u002F19.dynamic-memory",{"title":1789,"path":1790,"stem":1791},"Вказівники типу void","\u002Fcpp\u002Fvoid-pointers","02.cpp\u002F20.void-pointers",{"title":1793,"path":1794,"stem":1795},"Вказівники на вказівники","\u002Fcpp\u002Fpointers-to-pointers","02.cpp\u002F21.pointers-to-pointers",{"title":1797,"path":1798,"stem":1799},"Оператор доступу до членів через вказівник (->)","\u002Fcpp\u002Fmember-access-operator","02.cpp\u002F22.member-access-operator",{"title":1801,"path":1802,"stem":1803},"Цикл for-each (Range-based for)","\u002Fcpp\u002Fforeach-loop","02.cpp\u002F23.foreach-loop",{"title":1805,"path":1806,"stem":1807},"Вказівники на функції","\u002Fcpp\u002Ffunction-pointers","02.cpp\u002F24.function-pointers",{"title":1809,"path":1810,"stem":1811},"Лямбда-вирази","\u002Fcpp\u002Flambdas","02.cpp\u002F25.lambdas",{"title":1813,"path":1814,"stem":1815},"Лямбда-захоплення","\u002Fcpp\u002Flambda-captures","02.cpp\u002F26.lambda-captures",{"title":1817,"path":1818,"stem":1819},"Еліпсис","\u002Fcpp\u002Fellipsis","02.cpp\u002F27.ellipsis",{"title":1821,"path":1822,"stem":1823},"Безпечні альтернативи еліпсису","\u002Fcpp\u002F27a.ellipsis","02.cpp\u002F27a.ellipsis",{"title":1825,"path":1826,"stem":1827},"Аргументи командного рядка","\u002Fcpp\u002Fcommand-line-arguments","02.cpp\u002F28.command-line-arguments",{"title":1829,"path":1830,"stem":1831},"Перерахування (enum)","\u002Fcpp\u002Fenum","02.cpp\u002F29.enum",{"title":1833,"path":1834,"stem":1835},"Класи-перерахування (enum class)","\u002Fcpp\u002Fenum-class","02.cpp\u002F30.enum-class",{"title":1837,"path":1838,"stem":1839},"Псевдоніми типів (typedef і using)","\u002Fcpp\u002Ftype-aliases","02.cpp\u002F31.type-aliases",{"title":1841,"path":1842,"stem":1843},"Системи числення та двійкова арифметика","\u002Fcpp\u002Fnumber-systems","02.cpp\u002F32.number-systems",{"title":1845,"path":1846,"stem":1847},"Структури (struct): агрегування даних","\u002Fcpp\u002Fstruct","02.cpp\u002F33.struct",{"title":1849,"path":1850,"stem":1851},"Структури у функціях","\u002Fcpp\u002Fstruct-functions","02.cpp\u002F34.struct-functions",{"title":1853,"path":1854,"stem":1855},"Масиви структур і вкладені структури","\u002Fcpp\u002Fstruct-arrays","02.cpp\u002F35.struct-arrays",{"title":1857,"path":1858,"stem":1859},"Патерни struct та межі застосування","\u002Fcpp\u002Fstruct-patterns","02.cpp\u002F36.struct-patterns",{"title":1861,"path":1862,"stem":1863},"Символи та таблиця ASCII","\u002Fcpp\u002Fascii-characters","02.cpp\u002F37.ascii-characters",{"title":1865,"path":1866,"stem":1867},"Unicode та кодування UTF","\u002Fcpp\u002Funicode-utf","02.cpp\u002F38.unicode-utf",{"title":1869,"path":1870,"stem":1871},"C-style рядки","\u002Fcpp\u002Fc-strings","02.cpp\u002F39.c-strings",{"title":1873,"path":1874,"stem":1875},"Вступ до std::string","\u002Fcpp\u002Fstd-string-intro","02.cpp\u002F40.std-string-intro",{"title":1877,"path":1878,"stem":1879},"Довжина, ємність та доступ до символів std::string","\u002Fcpp\u002Fstd-string-capacity-access","02.cpp\u002F41.std-string-capacity-access",{"title":1881,"path":1882,"stem":1883},"Модифікація std::string: присвоювання, додавання, вставка, видалення та заміна","\u002Fcpp\u002Fstd-string-modification","02.cpp\u002F42.std-string-modification",{"title":1885,"path":1886,"stem":1887},"Пошук у std::string: find, npos та практичні патерни","\u002Fcpp\u002Fstd-string-search","02.cpp\u002F43.std-string-search",{"title":1889,"path":1890,"stem":1891},"std::string_view: невласницький погляд на рядок без копіювання","\u002Fcpp\u002Fstd-string-view","02.cpp\u002F44.std-string-view",{"title":1893,"path":1894,"stem":1895},"Об'єднання (union): один блок пам'яті, кілька інтерпретацій","\u002Fcpp\u002Funion","02.cpp\u002F45.union",{"title":1897,"path":1898,"stem":1899},"Організація коду: файли, препроцесор, простори імен","\u002Fcpp\u002Fmultifile-programs","02.cpp\u002F46.multifile-programs",{"title":1901,"path":1902,"stem":1903},"Робота з файлами: C-стиль (stdio.h)","\u002Fcpp\u002Fc-style-files","02.cpp\u002F47.c-style-files",{"title":1905,"path":1906,"stem":1907},"Робота з файлами: C++-стиль (fstream)","\u002Fcpp\u002Fcpp-style-files","02.cpp\u002F48.cpp-style-files",{"title":1909,"path":1910,"stem":1911},"Введення в ООП: від процедур до об'єктів","\u002Fcpp\u002Foop-intro","02.cpp\u002F49.oop-intro",{"title":1913,"path":1914,"stem":1915},"Класи, об'єкти та методи","\u002Fcpp\u002Fclasses-objects-methods","02.cpp\u002F50.classes-objects-methods",{"title":1917,"path":1918,"stem":1919},"Специфікатори доступу та інкапсуляція","\u002Fcpp\u002Faccess-specifiers-encapsulation","02.cpp\u002F51.access-specifiers-encapsulation",{"title":1921,"path":1922,"stem":1923},"Конструктори: гарантована ініціалізація об'єктів","\u002Fcpp\u002Fconstructors","02.cpp\u002F52.constructors",{"title":1925,"path":1926,"stem":1927},"Списки ініціалізації та делегуючі конструктори","\u002Fcpp\u002Finit-lists-delegating","02.cpp\u002F53.init-lists-delegating",{"title":1929,"path":1930,"stem":1931},"Деструктори та ідіома RAII","\u002Fcpp\u002Fdestructors-raii","02.cpp\u002F54.destructors-raii",{"title":1933,"path":1934,"stem":1935},"Прихований покажчик this","\u002Fcpp\u002Fthis-pointer","02.cpp\u002F55.this-pointer",{"title":1937,"path":1938,"stem":1939},"Розподіл класу на заголовковий файл та файл реалізації","\u002Fcpp\u002Fclass-header-source","02.cpp\u002F56.class-header-source",{"title":1941,"path":1942,"stem":1943},"Класи та const","\u002Fcpp\u002Fconst-classes","02.cpp\u002F57.const-classes",{"title":1945,"path":1946,"stem":1947},"Статичні члени класу","\u002Fcpp\u002Fstatic-members","02.cpp\u002F58.static-members",{"title":1949,"path":1950,"stem":1951},"Конструктор копіювання та запобігання копіюванню","\u002Fcpp\u002Fcopy-constructor","02.cpp\u002F59.copy-constructor",{"title":1953,"path":1954,"stem":1955},"Дружні функції та класи","\u002Fcpp\u002Ffriend-functions-classes","02.cpp\u002F60.friend-functions-classes",{"title":1957,"path":1958,"stem":1959},"Анонімні об'єкти та вкладені типи","\u002Fcpp\u002Fanonymous-objects-nested-types","02.cpp\u002F61.anonymous-objects-nested-types",{"title":1961,"path":1962,"stem":1963},"Вимірювання часу виконання: RAII-таймер","\u002Fcpp\u002Ftiming-raii-timer","02.cpp\u002F62.timing-raii-timer",{"title":1965,"path":1966,"stem":1967},"Перевантаження операторів: основи та арифметика","\u002Fcpp\u002Foperator-overloading-basics","02.cpp\u002F63.operator-overloading-basics",{"title":1969,"path":1970,"stem":1971},"Перевантаження операторів: методи класу та спеціальні оператори","\u002Fcpp\u002Foperator-overloading-methods","02.cpp\u002F64.operator-overloading-methods",{"title":1973,"path":1974,"stem":1975},"Приведення типів, explicit та delete","\u002Fcpp\u002Ftypecast-explicit-delete","02.cpp\u002F65.typecast-explicit-delete",{"title":1977,"path":1978,"stem":1979},"Глибоке копіювання та оператор присвоювання","\u002Fcpp\u002Fdeep-copy-assignment","02.cpp\u002F66.deep-copy-assignment",{"title":1981,"path":1982,"stem":1983},"Зв'язки між об'єктами: композиція та агрегація","\u002Fcpp\u002Fcomposition-aggregation","02.cpp\u002F67.composition-aggregation",{"title":1985,"path":1986,"stem":1987},"Асоціація та залежність між об","\u002Fcpp\u002Fassociation-dependency","02.cpp\u002F68.association-dependency",{"title":1989,"path":1990,"stem":1991},"Контейнерні класи та `std::initializer_list`","\u002Fcpp\u002Fcontainer-classes-initializer-list","02.cpp\u002F69.container-classes-initializer-list",{"title":1993,"path":1994,"stem":1995},"Вступ до наслідування: базові поняття та відношення «is-a»","\u002Fcpp\u002Finheritance-intro","02.cpp\u002F70.inheritance-intro",{"title":1997,"path":1998,"stem":1999},"Конструктори, деструктори та порядок ініціалізації в ієрархіях","\u002Fcpp\u002Finheritance-constructors-destructors","02.cpp\u002F71.inheritance-constructors-destructors",{"title":2001,"path":2002,"stem":2003},"Специфікатор `protected` та види наслідування","\u002Fcpp\u002Finheritance-access-specifiers","02.cpp\u002F72.inheritance-access-specifiers",{"title":2005,"path":2006,"stem":2007},"Перевизначення методів та приховування імен","\u002Fcpp\u002Fmethod-overriding-hiding","02.cpp\u002F73.method-overriding-hiding",{"title":2009,"path":2010,"stem":2011},"Множинне наслідування та проблема ромба","\u002Fcpp\u002Fmultiple-inheritance-diamond","02.cpp\u002F74.multiple-inheritance-diamond",{"title":2013,"path":2014,"stem":2015},"Вказівники на базовий клас та віртуальні функції","\u002Fcpp\u002Fvirtual-functions-polymorphism","02.cpp\u002F75.virtual-functions-polymorphism",{"title":2017,"path":2018,"stem":2019},"Специфікатори override, final та віртуальні деструктори","\u002Fcpp\u002Foverride-final-virtual-destructors","02.cpp\u002F76.override-final-virtual-destructors",{"title":2021,"path":2022,"stem":2023},"Внутрішні механізми поліморфізму: vtable, vptr та зв'язування","\u002Fcpp\u002Fvirtual-table-binding","02.cpp\u002F77.virtual-table-binding",{"title":2025,"path":2026,"stem":2027},"Абстрактні класи та чисті віртуальні функції","\u002Fcpp\u002Fabstract-classes-interfaces","02.cpp\u002F78.abstract-classes-interfaces",{"title":2029,"path":2030,"stem":2031},"Зрізка об'єктів, віртуальне наслідування та поліморфний вивід","\u002Fcpp\u002Fslicing-virtual-base-io","02.cpp\u002F79.slicing-virtual-base-io",{"title":2033,"path":2034,"stem":2035},"Динамічне приведення типів (`dynamic_cast`) та RTTI","\u002Fcpp\u002Fdynamic-cast-rtti","02.cpp\u002F80.dynamic-cast-rtti",{"title":2037,"path":2038,"stem":2039},"Шаблони функцій: узагальнене програмування","\u002Fcpp\u002Ffunction-templates","02.cpp\u002F81.function-templates",{"title":2041,"path":2042,"stem":2043},"Шаблони класів та NTTP-параметри","\u002Fcpp\u002Fclass-templates-nttp","02.cpp\u002F82.class-templates-nttp",{"title":2045,"path":2046,"stem":2047},"Повна (явна) спеціалізація шаблонів","\u002Fcpp\u002Ffull-template-specialization","02.cpp\u002F83.full-template-specialization",{"title":2049,"path":2050,"stem":2051},"Часткова спеціалізація шаблонів класів","\u002Fcpp\u002Fpartial-template-specialization","02.cpp\u002F84.partial-template-specialization",{"title":2053,"path":2054,"stem":2055},"Механізм винятків: try, catch, throw та розкручування стеку","\u002Fcpp\u002Fexceptions-basics","02.cpp\u002F85.exceptions-basics",{"title":2057,"path":2058,"stem":2059},"Ієрархія std::exception та власні класи винятків","\u002Fcpp\u002Fexception-hierarchy-custom","02.cpp\u002F86.exception-hierarchy-custom",{"title":2061,"path":2062,"stem":2063},"Повторне генерування винятків та функціональний try-блок","\u002Fcpp\u002Frethrow-function-try","02.cpp\u002F87.rethrow-function-try",{"title":2065,"path":2066,"stem":2067},"Безпека винятків, noexcept та деструктори","\u002Fcpp\u002Fsafety-noexcept","02.cpp\u002F88.safety-noexcept",{"title":2069,"path":2070,"stem":2071},"Стаття 89 — Власні структури даних: стек та черга","\u002Fcpp\u002Fcustom-stack-queue","02.cpp\u002F89.custom-stack-queue",{"title":2073,"path":2074,"stem":2075},"Стаття 90 — Власні структури даних: однозв'язаний список","\u002Fcpp\u002Flinked-list","02.cpp\u002F90.linked-list",{"title":2077,"path":2078,"stem":2079},"Стаття 91 — Власні структури даних: бінарне дерево пошуку","\u002Fcpp\u002Fbinary-search-tree","02.cpp\u002F91.binary-search-tree",{"title":2081,"path":2082,"stem":2083},"Стаття 92 — Власні структури даних: хеш-таблиця","\u002Fcpp\u002Fhash-table","02.cpp\u002F92.hash-table",{"title":2085,"icon":2086,"path":2087,"stem":2088,"children":2089,"page":59},"JavaScript","i-devicon-javascript","\u002Fjavascript","03.javascript",[2090,2116,2170,2192,2496,2534,2552],{"title":2091,"icon":2092,"path":2093,"stem":2094,"children":2095,"page":59},"Events","i-lucide-mouse-pointer-click","\u002Fjavascript\u002Fevents","03.javascript\u002F01.events",[2096,2100,2104,2108,2112],{"title":2097,"path":2098,"stem":2099},"Вступ до подій браузера","\u002Fjavascript\u002Fevents\u002Fintro","03.javascript\u002F01.events\u002F01.intro",{"title":2101,"path":2102,"stem":2103},"Бульбашковий механізм (Bubbling) та занурення (Capturing)","\u002Fjavascript\u002Fevents\u002Fbubbling-capturing","03.javascript\u002F01.events\u002F02.bubbling-capturing",{"title":2105,"path":2106,"stem":2107},"Делегування подій (Event Delegation)","\u002Fjavascript\u002Fevents\u002Fdelegate-events","03.javascript\u002F01.events\u002F03.delegate-events",{"title":2109,"path":2110,"stem":2111},"Типові дії браузера та preventDefault()","\u002Fjavascript\u002Fevents\u002Fprevent-default","03.javascript\u002F01.events\u002F04.prevent-default",{"title":2113,"path":2114,"stem":2115},"Запуск користувацьких подій (Custom Events)","\u002Fjavascript\u002Fevents\u002Fcustom-events","03.javascript\u002F01.events\u002F05.custom-events",{"title":2117,"icon":2118,"path":2119,"stem":2120,"children":2121,"page":59},"Network","i-lucide-globe","\u002Fjavascript\u002Fnetwork","03.javascript\u002F02.network",[2122,2126,2130,2134,2138,2142,2146,2150,2154,2158,2162,2166],{"title":2123,"path":2124,"stem":2125},"Fetch API - Сучасний підхід до HTTP-запитів","\u002Fjavascript\u002Fnetwork\u002F01-fetch-api","03.javascript\u002F02.network\u002F01-fetch-api",{"title":2127,"path":2128,"stem":2129},"FormData - Робота з формами та файлами","\u002Fjavascript\u002Fnetwork\u002F02-formdata","03.javascript\u002F02.network\u002F02-formdata",{"title":2131,"path":2132,"stem":2133},"Відстеження прогресу завантаження","\u002Fjavascript\u002Fnetwork\u002F03-download-progress","03.javascript\u002F02.network\u002F03-download-progress",{"title":2135,"path":2136,"stem":2137},"Переривання fetch-запитів","\u002Fjavascript\u002Fnetwork\u002F04-abort-requests","03.javascript\u002F02.network\u002F04-abort-requests",{"title":2139,"path":2140,"stem":2141},"CORS - Запити між різними джерелами","\u002Fjavascript\u002Fnetwork\u002F05-cors","03.javascript\u002F02.network\u002F05-cors",{"title":2143,"path":2144,"stem":2145},"Fetch API - Повний довідник опцій","\u002Fjavascript\u002Fnetwork\u002F06-fetch-options","03.javascript\u002F02.network\u002F06-fetch-options",{"title":2147,"path":2148,"stem":2149},"URL Objects - Робота з посиланнями","\u002Fjavascript\u002Fnetwork\u002F07-url-objects","03.javascript\u002F02.network\u002F07-url-objects",{"title":2151,"path":2152,"stem":2153},"XMLHttpRequest - AJAX та низькорівневі запити","\u002Fjavascript\u002Fnetwork\u002F08-xmlhttprequest","03.javascript\u002F02.network\u002F08-xmlhttprequest",{"title":2155,"path":2156,"stem":2157},"Відновлюване завантаження файлів","\u002Fjavascript\u002Fnetwork\u002F09-resumable-upload","03.javascript\u002F02.network\u002F09-resumable-upload",{"title":2159,"path":2160,"stem":2161},"Cookies, document.cookie та світ після \"Cookiepocalypse\"","\u002Fjavascript\u002Fnetwork\u002F10-cookies","03.javascript\u002F02.network\u002F10-cookies",{"title":2163,"path":2164,"stem":2165},"js-cookie: Керування Cookies без Болю","\u002Fjavascript\u002Fnetwork\u002F11-js-cookie","03.javascript\u002F02.network\u002F11-js-cookie",{"title":2167,"path":2168,"stem":2169},"Axios: Потужний HTTP-клієнт для JavaScript","\u002Fjavascript\u002Fnetwork\u002F12-axios","03.javascript\u002F02.network\u002F12-axios",{"title":2171,"icon":2172,"path":2173,"stem":2174,"children":2175,"page":59},"Bom","i-lucide-monitor","\u002Fjavascript\u002Fbom","03.javascript\u002F03.bom",[2176,2180,2184,2188],{"title":2177,"path":2178,"stem":2179},"LocalStorage, SessionStorage та patterns збереження даних","\u002Fjavascript\u002Fbom\u002F01-localstorage","03.javascript\u002F03.bom\u002F01-localstorage",{"title":2181,"path":2182,"stem":2183},"Location Object - Керування адресою сторінки","\u002Fjavascript\u002Fbom\u002F02-location-object","03.javascript\u002F03.bom\u002F02-location-object",{"title":2185,"path":2186,"stem":2187},"History API - Керування історією браузера","\u002Fjavascript\u002Fbom\u002F03-history-api","03.javascript\u002F03.bom\u002F03-history-api",{"title":2189,"path":2190,"stem":2191},"Navigator Object - Ідентифікація та Можливості Пристрою","\u002Fjavascript\u002Fbom\u002F04-navigator-object","03.javascript\u002F03.bom\u002F04-navigator-object",{"title":2193,"icon":2194,"path":2195,"stem":2196,"children":2197},"React","i-devicon-react","\u002Fjavascript\u002Freact","03.javascript\u002F04.react\u002Findex",[2198,2199,2203,2207,2211,2215,2278,2313,2465],{"title":2193,"path":2195,"stem":2196},{"title":2200,"path":2201,"stem":2202},"Робота з Формами в React","\u002Fjavascript\u002Freact\u002Freact-forms","03.javascript\u002F04.react\u002F01.react-forms",{"title":2204,"path":2205,"stem":2206},"React Hook Form: Професійна Робота з Формами","\u002Fjavascript\u002Freact\u002Freact-hook-form","03.javascript\u002F04.react\u002F02.react-hook-form",{"title":2208,"path":2209,"stem":2210},"React Hook Form: Глибоке Розуміння Архітектури та Оптимізації","\u002Fjavascript\u002Freact\u002Freact-hook-form-new","03.javascript\u002F04.react\u002F02.react-hook-form-new",{"title":2212,"path":2213,"stem":2214},"Axios та React: Професійна Архітектура Запитів","\u002Fjavascript\u002Freact\u002Fdata-fetching-axios","03.javascript\u002F04.react\u002F03.data-fetching-axios",{"title":2216,"icon":132,"path":2217,"stem":2218,"children":2219},"Tanstack Query","\u002Fjavascript\u002Freact\u002Ftanstack-query","03.javascript\u002F04.react\u002F04.tanstack-query\u002Findex",[2220,2222,2226,2230,2234,2238,2242,2246,2250,2254,2258,2262,2266,2270,2274],{"title":2221,"path":2217,"stem":2218},"TanStack Query: Майстерність Керування Станом Сервера",{"title":2223,"path":2224,"stem":2225},"Парадигма Server State: Чому useEffect недостатньо","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-state-paradigm","03.javascript\u002F04.react\u002F04.tanstack-query\u002F01.server-state-paradigm",{"title":2227,"path":2228,"stem":2229},"Встановлення та Налаштування: Фундамент","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Finstallation-and-devtools","03.javascript\u002F04.react\u002F04.tanstack-query\u002F02.installation-and-devtools",{"title":2231,"path":2232,"stem":2233},"Основи Запитів та Магія Ключів","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fquery-basics-and-keys","03.javascript\u002F04.react\u002F04.tanstack-query\u002F03.query-basics-and-keys",{"title":2235,"path":2236,"stem":2237},"Синхронізація Даних: Життєвий Цикл Запиту","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fdata-synchronization","03.javascript\u002F04.react\u002F04.tanstack-query\u002F04.data-synchronization",{"title":2239,"path":2240,"stem":2241},"Мутації та Інвалідація: Зміна Даних","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fmutations-and-invalidation","03.javascript\u002F04.react\u002F04.tanstack-query\u002F05.mutations-and-invalidation",{"title":2243,"path":2244,"stem":2245},"Оптимістичні Оновлення: Швидше за Світло","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Foptimistic-updates","03.javascript\u002F04.react\u002F04.tanstack-query\u002F06.optimistic-updates",{"title":2247,"path":2248,"stem":2249},"Пагінація та Infinite Scroll","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fpagination-and-load-more","03.javascript\u002F04.react\u002F04.tanstack-query\u002F07.pagination-and-load-more",{"title":2251,"path":2252,"stem":2253},"Просунуті Патерни та Оптимізація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F04.tanstack-query\u002F08.advanced-patterns",{"title":2255,"path":2256,"stem":2257},"Архітектура та Best Practices","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Farchitecture-and-best-practices","03.javascript\u002F04.react\u002F04.tanstack-query\u002F09.architecture-and-best-practices",{"title":2259,"path":2260,"stem":2261},"Server-Side Rendering (SSR) та Гідратація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-side-rendering","03.javascript\u002F04.react\u002F04.tanstack-query\u002F10.server-side-rendering",{"title":2263,"path":2264,"stem":2265},"Стратегії Тестування","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Ftesting-strategies","03.javascript\u002F04.react\u002F04.tanstack-query\u002F11.testing-strategies",{"title":2267,"path":2268,"stem":2269},"Аутентифікація та Обробка Помилок","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fauthentication-and-errors","03.javascript\u002F04.react\u002F04.tanstack-query\u002F12.authentication-and-errors",{"title":2271,"path":2272,"stem":2273},"React Suspense та Майбутнє","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Freact-suspense","03.javascript\u002F04.react\u002F04.tanstack-query\u002F13.react-suspense",{"title":2275,"path":2276,"stem":2277},"Глибоке Занурення в Продуктивність","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fperformance-deep-dive","03.javascript\u002F04.react\u002F04.tanstack-query\u002F14.performance-deep-dive",{"title":2279,"icon":2194,"path":2280,"stem":2281,"children":2282},"React Router","\u002Fjavascript\u002Freact\u002Freact-router","03.javascript\u002F04.react\u002F05.react-router\u002Findex",[2283,2285,2289,2293,2297,2301,2305,2309],{"title":2284,"path":2280,"stem":2281},"React Router: Навігаційна система сучасного вебу",{"title":2286,"path":2287,"stem":2288},"Налаштування та Базовий Роутинг","\u002Fjavascript\u002Freact\u002Freact-router\u002Fsetup-and-basic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F01.setup-and-basic-routing",{"title":2290,"path":2291,"stem":2292},"Динамічна Навігація","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnavigation-and-links","03.javascript\u002F04.react\u002F05.react-router\u002F02.navigation-and-links",{"title":2294,"path":2295,"stem":2296},"Вкладені Маршрути та Макети","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnested-routes-and-layouts","03.javascript\u002F04.react\u002F05.react-router\u002F03.nested-routes-and-layouts",{"title":2298,"path":2299,"stem":2300},"Динамічні Маршрути та Параметри","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdynamic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F04.dynamic-routing",{"title":2302,"path":2303,"stem":2304},"Data APIs: Loaders та Actions","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdata-loading","03.javascript\u002F04.react\u002F05.react-router\u002F05.data-loading",{"title":2306,"path":2307,"stem":2308},"Просунуті Патерни","\u002Fjavascript\u002Freact\u002Freact-router\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F05.react-router\u002F06.advanced-patterns",{"title":2310,"path":2311,"stem":2312},"Legacy Routing: Компонентний підхід","\u002Fjavascript\u002Freact\u002Freact-router\u002Flegacy-routing","03.javascript\u002F04.react\u002F05.react-router\u002F07.legacy-routing",{"title":2314,"icon":132,"path":2315,"stem":2316,"children":2317},"Redux","\u002Fjavascript\u002Freact\u002Fredux","03.javascript\u002F04.react\u002F06.redux\u002Findex",[2318,2320,2336,2365,2374,2395,2411,2440],{"title":2319,"path":2315,"stem":2316},"Redux: Еволюція управління станом",{"title":14,"icon":15,"path":2321,"stem":2322,"children":2323,"page":59},"\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals",[2324,2328,2332],{"title":2325,"path":2326,"stem":2327},"Вступ до State Management","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fintro-state-management","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F01.intro-state-management",{"title":2329,"path":2330,"stem":2331},"Філософія Redux та Три Принципи","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fredux-philosophy","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F02.redux-philosophy",{"title":2333,"path":2334,"stem":2335},"Чисті функції та Іммутабельність","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fpure-functions-immutability","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F03.pure-functions-immutability",{"title":2337,"icon":132,"path":2338,"stem":2339,"children":2340,"page":59},"Classic Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux",[2341,2345,2349,2353,2357,2361],{"title":2342,"path":2343,"stem":2344},"Створення Store (Classic Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fstore-setup","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F01.store-setup",{"title":2346,"path":2347,"stem":2348},"Actions, Constants та Action Creators","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Factions-constants","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F02.actions-constants",{"title":2350,"path":2351,"stem":2352},"Логіка Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freducers","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F03.reducers",{"title":2354,"path":2355,"stem":2356},"Комбінування Reducers (Root Reducer)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fdata-flow","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F04.data-flow",{"title":2358,"path":2359,"stem":2360},"Підключення до React (React-Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freact-redux-connection","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F05.react-redux-connection",{"title":2362,"path":2363,"stem":2364},"Middleware та Асинхронність (Redux Thunk)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fmiddleware-thunk","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F06.middleware-thunk",{"title":2366,"icon":132,"path":2367,"stem":2368,"children":2369,"page":59},"Transition To Rtk","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk",[2370],{"title":2371,"path":2372,"stem":2373},"Проблеми класичного Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk\u002Fproblems-with-classic","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk\u002F01.problems-with-classic",{"title":2375,"icon":132,"path":2376,"stem":2377,"children":2378,"page":59},"Redux Toolkit","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit",[2379,2383,2387,2391],{"title":2380,"path":2381,"stem":2382},"Налаштування Store з configureStore","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fconfigure-store","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F01.configure-store",{"title":2384,"path":2385,"stem":2386},"createSlice: Революція в Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fcreate-slice","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F02.create-slice",{"title":2388,"path":2389,"stem":2390},"Асинхронність з createAsyncThunk","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fasync-thunks","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F03.async-thunks",{"title":2392,"path":2393,"stem":2394},"04. Entity Adapter: Керування нормалізованим станом","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fentity-adapter","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F04.entity-adapter",{"title":2396,"icon":92,"path":2397,"stem":2398,"children":2399,"page":59},"Advanced","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced",[2400,2404,2408],{"title":2401,"path":2402,"stem":2403},"Мемоізація та Селектори: Повний Гайд по Reselect","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Fselectors-reselect","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F01.selectors-reselect",{"title":2405,"path":2406,"stem":2407},"RTK Query: Архітектура Серверного Кешу","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Frtk-query-intro","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F02.rtk-query-intro",{"title":2255,"path":2409,"stem":2410},"\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Farchitecture-best-practices","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F03.architecture-best-practices",{"title":2412,"icon":132,"path":2413,"stem":2414,"children":2415,"page":59},"Project Kanban","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban",[2416,2420,2424,2428,2432,2436],{"title":2417,"path":2418,"stem":2419},"Проєкт: Kanban Board (Trello Clone)","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fproject-overview","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F01.project-overview",{"title":2421,"path":2422,"stem":2423},"Налаштування та Типізація","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fsetup-and-types","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F02.setup-and-types",{"title":2425,"path":2426,"stem":2427},"Board Slice: Серце Дошки","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fboard-slice","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F03.board-slice",{"title":2429,"path":2430,"stem":2431},"Логіка Drag & Drop","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fdrag-and-drop-logic","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F04.drag-and-drop-logic",{"title":2433,"path":2434,"stem":2435},"Інтеграція з RTK Query","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Frtk-query-integration","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F05.rtk-query-integration",{"title":2437,"path":2438,"stem":2439},"Optimistic Updates","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Foptimistic-updates","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F06.optimistic-updates",{"title":2441,"icon":132,"path":2442,"stem":2443,"children":2444,"page":59},"Testing","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting","03.javascript\u002F04.react\u002F06.redux\u002F07.testing",[2445,2449,2453,2457,2461],{"title":2446,"path":2447,"stem":2448},"Тестування Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Fintro-testing","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F01.intro-testing",{"title":2450,"path":2451,"stem":2452},"Тестування Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-reducers","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F02.testing-reducers",{"title":2454,"path":2455,"stem":2456},"Тестування Селекторів","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-selectors","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F03.testing-selectors",{"title":2458,"path":2459,"stem":2460},"Тестування Компонентів (Integration)","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-components","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F04.testing-components",{"title":2462,"path":2463,"stem":2464},"Тестування Async Thunks","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-thunks","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F05.testing-thunks",{"title":2466,"icon":132,"path":2467,"stem":2468,"children":2469},"Ui Libraries","\u002Fjavascript\u002Freact\u002Fui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002Findex",[2470,2472,2476,2480,2484,2488,2492],{"title":2471,"path":2467,"stem":2468},"UI Бібліотеки в React",{"title":2473,"path":2474,"stem":2475},"Вступ до UI Бібліотек: Навіщо Винаходити Велосипед Двічі?","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fintroduction-to-ui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002F01.introduction-to-ui-libraries",{"title":2477,"path":2478,"stem":2479},"Філософія shadcn\u002Fui: \"Not a Component Library\"","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-philosophy","03.javascript\u002F04.react\u002F07.ui-libraries\u002F02.shadcn-philosophy",{"title":2481,"path":2482,"stem":2483},"Установка та Налаштування shadcn\u002Fui","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-installation","03.javascript\u002F04.react\u002F07.ui-libraries\u002F03.shadcn-installation",{"title":2485,"path":2486,"stem":2487},"Базові Компоненти shadcn\u002Fui: Фундамент Інтерфейсу","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-basics","03.javascript\u002F04.react\u002F07.ui-libraries\u002F04.shadcn-components-basics",{"title":2489,"path":2490,"stem":2491},"Компоненти Форм: Побудова Інтерактивних Form","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-forms","03.javascript\u002F04.react\u002F07.ui-libraries\u002F05.shadcn-components-forms",{"title":2493,"path":2494,"stem":2495},"Складні Компоненти: Dialog, Dropdown, Table та Command","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-advanced","03.javascript\u002F04.react\u002F07.ui-libraries\u002F06.shadcn-components-advanced",{"title":2497,"icon":2498,"path":2499,"stem":2500,"children":2501,"page":59},"TypeScript","i-devicon-typescript","\u002Fjavascript\u002Ftypescript","03.javascript\u002F05.typescript",[2502,2506,2510,2514,2518,2522,2526,2530],{"title":2503,"path":2504,"stem":2505},"TypeScript: Броня для вашого коду","\u002Fjavascript\u002Ftypescript\u002Fintro-and-basic-types","03.javascript\u002F05.typescript\u002F01.intro-and-basic-types",{"title":2507,"path":2508,"stem":2509},"Майстерність Моделювання Даних: Інтерфейси та Просунуті Типи","\u002Fjavascript\u002Ftypescript\u002Finterfaces-and-advanced-types","03.javascript\u002F05.typescript\u002F02.interfaces-and-advanced-types",{"title":2511,"path":2512,"stem":2513},"Алхімія Типів: Generics та Utility Types","\u002Fjavascript\u002Ftypescript\u002Fgenerics-and-utilities","03.javascript\u002F05.typescript\u002F03.generics-and-utilities",{"title":2515,"path":2516,"stem":2517},"Архітектура та Шаблони: Класи в TypeScript","\u002Fjavascript\u002Ftypescript\u002Fclasses-and-oop","03.javascript\u002F05.typescript\u002F04.classes-and-oop",{"title":2519,"path":2520,"stem":2521},"Продакшн та Екосистема: Advanced Config & Workflow","\u002Fjavascript\u002Ftypescript\u002Fadvanced-patterns-and-config","03.javascript\u002F05.typescript\u002F05.advanced-patterns-and-config",{"title":2523,"path":2524,"stem":2525},"TypeScript у світі React","\u002Fjavascript\u002Ftypescript\u002Freact-basics","03.javascript\u002F05.typescript\u002F06.react-basics",{"title":2527,"path":2528,"stem":2529},"React + TypeScript: Продвинуті патерни","\u002Fjavascript\u002Ftypescript\u002Freact-advanced","03.javascript\u002F05.typescript\u002F07.react-advanced",{"title":2531,"path":2532,"stem":2533},"React + TypeScript: Екосистема та бібліотеки","\u002Fjavascript\u002Ftypescript\u002Freact-ecosystem","03.javascript\u002F05.typescript\u002F08.react-ecosystem",{"title":2535,"icon":2536,"path":2537,"stem":2538,"children":2539,"page":59},"Асинхронність","i-lucide-refresh-cw","\u002Fjavascript\u002Fasync-programming","03.javascript\u002F06.async-programming",[2540,2544,2548],{"title":2541,"path":2542,"stem":2543},"Event Loop: серце асинхронності в JavaScript","\u002Fjavascript\u002Fasync-programming\u002Fevent-loop-fundamentals","03.javascript\u002F06.async-programming\u002F01.event-loop-fundamentals",{"title":2545,"path":2546,"stem":2547},"Task Queue та Microtask Queue: пріоритети виконання","\u002Fjavascript\u002Fasync-programming\u002Ftask-queues","03.javascript\u002F06.async-programming\u002F02.task-queues",{"title":2549,"path":2550,"stem":2551},"Асинхронні патерни: від Callbacks до Async\u002FAwait","\u002Fjavascript\u002Fasync-programming\u002Fasync-patterns","03.javascript\u002F06.async-programming\u002F03.async-patterns",{"title":2553,"path":2554,"stem":2555},"Atomic Design","\u002Fjavascript\u002Fatomic-design","03.javascript\u002F2.atomic-design",{"title":2557,"icon":2558,"path":2559,"stem":2560,"children":2561,"page":59},"Java","i-devicon-java","\u002Fjava","04.java",[2562,2565,2568,2572,2576,2580,2584],{"title":162,"path":2563,"stem":2564},"\u002Fjava\u002Fdata-mapper-part1","04.java\u002F01.data-mapper-part1",{"title":166,"path":2566,"stem":2567},"\u002Fjava\u002Fdata-mapper-part2","04.java\u002F02.data-mapper-part2",{"title":2569,"path":2570,"stem":2571},"Service Layer: Організація бізнес-логіки","\u002Fjava\u002Fservice-layer","04.java\u002F03.service-layer",{"title":2573,"path":2574,"stem":2575},"Rich Domain Model та State Pattern","\u002Fjava\u002Frich-domain-model","04.java\u002F04.rich-domain-model",{"title":2577,"path":2578,"stem":2579},"Патерни для складної бізнес-логіки","\u002Fjava\u002Fbusiness-logic-patterns","04.java\u002F05.business-logic-patterns",{"title":2581,"path":2582,"stem":2583},"Обробка помилок та валідація","\u002Fjava\u002Ferror-handling-validation","04.java\u002F06.error-handling-validation",{"title":2585,"path":2586,"stem":2587,"children":2588,"page":59},"Проектування баз даних","\u002Fjava\u002Fpr2","04.java\u002Fpr2",[2589,2593,2597,2601,2605,2609,2613,2617,2621,2625,2629,2633,2637,2641,2645,2649,2653,2657,2661,2665,2669,2673,2677,2681,2685,2689,2693,2697,2701,2705,2709,2713,2717,2721,2725,2729,2733],{"title":2590,"path":2591,"stem":2592},"Концептуальне моделювання: Мистецтво розуміння предметної області","\u002Fjava\u002Fpr2\u002Fconceptual-modeling","04.java\u002Fpr2\u002F01.conceptual-modeling",{"title":2594,"path":2595,"stem":2596},"Логічне моделювання: Від бізнес-ідей до структур даних","\u002Fjava\u002Fpr2\u002Flogical-modeling","04.java\u002Fpr2\u002F02.logical-modeling",{"title":2598,"path":2599,"stem":2600},"Нормалізація: Гігієна даних та боротьба з аномаліями","\u002Fjava\u002Fpr2\u002Fnormalization","04.java\u002Fpr2\u002F03.normalization",{"title":2602,"path":2603,"stem":2604},"Фізична схема: Від абстракції до DDL","\u002Fjava\u002Fpr2\u002Fphysical-schema","04.java\u002Fpr2\u002F04.physical-schema",{"title":2606,"path":2607,"stem":2608},"Архітектурна класифікація таблиць","\u002Fjava\u002Fpr2\u002Ftable-classification","04.java\u002Fpr2\u002F05.table-classification",{"title":2610,"path":2611,"stem":2612},"Database Migrations: Версіонування схеми з Flyway","\u002Fjava\u002Fpr2\u002Fdatabase-migrations","04.java\u002Fpr2\u002F06.database-migrations",{"title":2614,"path":2615,"stem":2616},"А що, якби це була не реляційна БД?","\u002Fjava\u002Fpr2\u002Fbeyond-relational","04.java\u002Fpr2\u002F07.beyond-relational",{"title":2618,"path":2619,"stem":2620},"Object-Relational Impedance Mismatch: Два світи, що не хочуть дружити","\u002Fjava\u002Fpr2\u002Fimpedance-mismatch","04.java\u002Fpr2\u002F09.impedance-mismatch",{"title":2622,"path":2623,"stem":2624},"JDBC: Перший контакт із базою даних","\u002Fjava\u002Fpr2\u002Fjdbc-fundamentals","04.java\u002Fpr2\u002F10.jdbc-fundamentals",{"title":2626,"path":2627,"stem":2628},"Якість коду: Spotless, SpotBugs та SonarQube","\u002Fjava\u002Fpr2\u002F10a.code-quality","04.java\u002Fpr2\u002F10a.code-quality",{"title":2630,"path":2631,"stem":2632},"Connection Pool: Патерн Object Pool для JDBC-з'єднань","\u002Fjava\u002Fpr2\u002Fconnection-pool","04.java\u002Fpr2\u002F11.connection-pool",{"title":2634,"path":2635,"stem":2636},"Row Data Gateway: Об'єкт як обгортка рядка таблиці","\u002Fjava\u002Fpr2\u002Frow-data-gateway","04.java\u002Fpr2\u002F12.row-data-gateway",{"title":2638,"path":2639,"stem":2640},"Table Data Gateway: Фасад таблиці як архітектурний відступ","\u002Fjava\u002Fpr2\u002Ftable-data-gateway","04.java\u002Fpr2\u002F13.table-data-gateway",{"title":2642,"path":2643,"stem":2644},"Repository + Data Mapper: Правильна шарова архітектура з JDBC","\u002Fjava\u002Fpr2\u002Frepository-data-mapper","04.java\u002Fpr2\u002F14.repository-data-mapper",{"title":2646,"path":2647,"stem":2648},"Identity Map: Кешування сутностей у рамках сесії","\u002Fjava\u002Fpr2\u002Fidentity-map","04.java\u002Fpr2\u002F15.identity-map",{"title":2650,"path":2651,"stem":2652},"Unit of Work: Відстеження змін і координація JDBC-транзакцій","\u002Fjava\u002Fpr2\u002Funit-of-work","04.java\u002Fpr2\u002F16.unit-of-work",{"title":2654,"path":2655,"stem":2656},"Strategy: Замінювані SQL-стратегії для підтримки різних СУБД","\u002Fjava\u002Fpr2\u002Fstrategy-sql","04.java\u002Fpr2\u002F17.strategy-sql",{"title":2658,"path":2659,"stem":2660},"Proxy: Lazy Loading для One-To-Many колекцій","\u002Fjava\u002Fpr2\u002Fproxy-lazy-loading","04.java\u002Fpr2\u002F18.proxy-lazy-loading",{"title":2662,"path":2663,"stem":2664},"Generic Repository через Java Reflection: анотації та динамічний SQL","\u002Fjava\u002Fpr2\u002Fgeneric-repository-reflection","04.java\u002Fpr2\u002F19.generic-repository-reflection",{"title":2666,"path":2667,"stem":2668},"Specification Pattern: Композиція бізнес-правил для складних запитів","\u002Fjava\u002Fpr2\u002Fspecification-pattern","04.java\u002Fpr2\u002F20.specification-pattern",{"title":2670,"path":2671,"stem":2672},"Розширені можливості Specification Pattern: підзапити, агрегації та гібридний підхід","\u002Fjava\u002Fpr2\u002F20a.advanced-specifications","04.java\u002Fpr2\u002F20a.advanced-specifications",{"title":2674,"path":2675,"stem":2676},"Асинхронність у JDBC: Від блокуючих викликів до CompletableFuture","\u002Fjava\u002Fpr2\u002Fasynchronous-jdbc","04.java\u002Fpr2\u002F21.asynchronous-jdbc",{"title":2678,"path":2679,"stem":2680},"Інтеграційне тестування JDBC-репозиторіїв: Embedded H2 та патерн AAA","\u002Fjava\u002Fpr2\u002Fintegration-testing-h2","04.java\u002Fpr2\u002F22.integration-testing-h2",{"title":2682,"path":2683,"stem":2684},"Testcontainers: Тестування з реальною PostgreSQL у Docker-контейнерах","\u002Fjava\u002Fpr2\u002Fintegration-testing-testcontainers","04.java\u002Fpr2\u002F23.integration-testing-testcontainers",{"title":2686,"path":2687,"stem":2688},"Google Guice: Впровадження залежностей у JavaFX-проєкті","\u002Fjava\u002Fpr2\u002Fdependency-injection-guice","04.java\u002Fpr2\u002F24.dependency-injection-guice",{"title":2690,"path":2691,"stem":2692},"JavaFX: Основи побудови графічних інтерфейсів","\u002Fjava\u002Fpr2\u002Fjavafx-fundamentals","04.java\u002Fpr2\u002F25.javafx-fundamentals",{"title":2694,"path":2695,"stem":2696},"Properties та Bindings: Реактивність у JavaFX","\u002Fjava\u002Fpr2\u002Fjavafx-properties-bindings","04.java\u002Fpr2\u002F26.javafx-properties-bindings",{"title":2698,"path":2699,"stem":2700},"MVC vs MVP vs MVVM: Еволюція архітектурних патернів UI","\u002Fjava\u002Fpr2\u002Fui-architecture-patterns","04.java\u002Fpr2\u002F27.ui-architecture-patterns",{"title":2702,"path":2703,"stem":2704},"MVVM на практиці: Побудова ViewModel","\u002Fjava\u002Fpr2\u002Fmvvm-viewmodel-implementation","04.java\u002Fpr2\u002F28.mvvm-viewmodel-implementation",{"title":2706,"path":2707,"stem":2708},"View та Controller: Зв'язування з ViewModel через FXML","\u002Fjava\u002Fpr2\u002Fmvvm-view-controller","04.java\u002Fpr2\u002F29.mvvm-view-controller",{"title":2710,"path":2711,"stem":2712},"Інтеграція MVVM з Guice: Автоматична ін'єкція залежностей","\u002Fjava\u002Fpr2\u002Fmvvm-guice-integration","04.java\u002Fpr2\u002F30.mvvm-guice-integration",{"title":2714,"path":2715,"stem":2716},"Валідація та обробка помилок у MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-validation-error-handling","04.java\u002Fpr2\u002F31.mvvm-validation-error-handling",{"title":2718,"path":2719,"stem":2720},"Навігація та управління екранами у JavaFX MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-navigation-screen-management","04.java\u002Fpr2\u002F32.mvvm-navigation-screen-management",{"title":2722,"path":2723,"stem":2724},"Тестування JavaFX MVVM-додатків","\u002Fjava\u002Fpr2\u002Fmvvm-testing","04.java\u002Fpr2\u002F33.mvvm-testing",{"title":2726,"path":2727,"stem":2728},"Стилізація та теми у JavaFX: CSS та User Experience","\u002Fjava\u002Fpr2\u002Fjavafx-styling-themes","04.java\u002Fpr2\u002F34.javafx-styling-themes",{"title":2730,"path":2731,"stem":2732},"AtlantaFX: Сучасні теми для JavaFX додатків","\u002Fjava\u002Fpr2\u002Fatlantafx-modern-themes","04.java\u002Fpr2\u002F35.atlantafx-modern-themes",{"title":2734,"path":2735,"stem":2736},"Пакування та розповсюдження JavaFX-додатків","\u002Fjava\u002Fpr2\u002Fjar-packaging-distribution","04.java\u002Fpr2\u002F36.jar-packaging-distribution",{"title":2738,"icon":2739,"path":2740,"stem":2741,"children":2742,"page":59},"Python","i-devicon-python","\u002Fpython","05.python",[2743,2747,2750,2754,2758,2762,2766,2770,2774,2778,2782,2786,2790,2794,2798,2859],{"title":2744,"path":2745,"stem":2746},"Модулі, Пакети та Віртуальні Середовища","\u002Fpython\u002Fmodules-packages-venv","05.python\u002F00.modules-packages-venv",{"title":71,"path":2748,"stem":2749},"\u002Fpython\u002Fclasses-objects","05.python\u002F01.classes-objects",{"title":2751,"path":2752,"stem":2753},"Інкапсуляція, Керування Доступом та Властивості","\u002Fpython\u002Fencapsulation","05.python\u002F02.encapsulation",{"title":2755,"path":2756,"stem":2757},"Наслідування, MRO та суперсила super()","\u002Fpython\u002Finheritance-mro","05.python\u002F03.inheritance-mro",{"title":2759,"path":2760,"stem":2761},"Абстракція — ABC проти Статичних Протоколів (PEP 544)","\u002Fpython\u002Fabstraction-protocols","05.python\u002F04.abstraction-protocols",{"title":2763,"path":2764,"stem":2765},"Магічні методи (Dunder) та Емуляція протоколів","\u002Fpython\u002Fdunder-methods","05.python\u002F05.dunder-methods",{"title":2767,"path":2768,"stem":2769},"Декоратори та Керування життєвим циклом методів","\u002Fpython\u002Fdecorators-static-class","05.python\u002F06.decorators-static-class",{"title":2771,"path":2772,"stem":2773},"Дескриптори — Магія доступу до атрибутів","\u002Fpython\u002Fdescriptors","05.python\u002F07.descriptors",{"title":2775,"path":2776,"stem":2777},"Метакласи — Динамічне створення класів під капотом CPython","\u002Fpython\u002Fmetaclasses","05.python\u002F08.metaclasses",{"title":2779,"path":2780,"stem":2781},"Dataclasses, NamedTuple та сучасні контейнери Python","\u002Fpython\u002Fmodern-containers","05.python\u002F09.modern-containers",{"title":2783,"path":2784,"stem":2785},"GIL та модель конкурентності CPython — фундамент перед потоками і процесами","\u002Fpython\u002Fgil-concurrency-intro","05.python\u002F11.gil-concurrency-intro",{"title":2787,"path":2788,"stem":2789},"Threading — конкурентність для I\u002FO-bound задач","\u002Fpython\u002Fthreading","05.python\u002F12.threading",{"title":2791,"path":2792,"stem":2793},"Multiprocessing — справжній паралелізм для CPU-bound задач","\u002Fpython\u002Fmultiprocessing","05.python\u002F13.multiprocessing",{"title":2795,"path":2796,"stem":2797},"asyncio — кооперативна конкурентність та event loop","\u002Fpython\u002Fasyncio","05.python\u002F14.asyncio",{"title":2799,"icon":92,"path":2800,"stem":2801,"children":2802,"page":59},"FastAPI","\u002Fpython\u002Ffastapi","05.python\u002Ffastapi",[2803,2807,2811,2815,2819,2823,2827,2831,2835,2839,2843,2847,2851,2855],{"title":2804,"path":2805,"stem":2806},"Глибокий Typing та Pydantic v2 — від анотацій до валідації","\u002Fpython\u002Ffastapi\u002Ftyping-pydantic","05.python\u002Ffastapi\u002F15.typing-pydantic",{"title":2808,"path":2809,"stem":2810},"WSGI, ASGI та Python Web-екосистема","\u002Fpython\u002Ffastapi\u002Fwsgi-asgi-ecosystem","05.python\u002Ffastapi\u002F16.wsgi-asgi-ecosystem",{"title":2812,"path":2813,"stem":2814},"FastAPI: Перший додаток, Uvicorn та OpenAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-intro","05.python\u002Ffastapi\u002F17.fastapi-intro",{"title":2816,"path":2817,"stem":2818},"Маршрутизація, параметри запитів та APIRouter","\u002Fpython\u002Ffastapi\u002Ffastapi-routing-params","05.python\u002Ffastapi\u002F18.fastapi-routing-params",{"title":2820,"path":2821,"stem":2822},"Pydantic v2 у FastAPI — схеми, валідація та серіалізація","\u002Fpython\u002Ffastapi\u002Ffastapi-pydantic-schemas","05.python\u002Ffastapi\u002F19.fastapi-pydantic-schemas",{"title":2824,"path":2825,"stem":2826},"Dependency Injection — серце архітектури FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-dependency-injection","05.python\u002Ffastapi\u002F20.fastapi-dependency-injection",{"title":2828,"path":2829,"stem":2830},"Обробка помилок, Middleware та CORS у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-errors-middleware","05.python\u002Ffastapi\u002F21.fastapi-errors-middleware",{"title":2832,"path":2833,"stem":2834},"SQLAlchemy 2.0 — ORM, Core та Async Engine","\u002Fpython\u002Ffastapi\u002Fsqlalchemy-orm","05.python\u002Ffastapi\u002F22.sqlalchemy-orm",{"title":2836,"path":2837,"stem":2838},"Alembic — міграції бази даних","\u002Fpython\u002Ffastapi\u002Falembic-migrations","05.python\u002Ffastapi\u002F23.alembic-migrations",{"title":2840,"path":2841,"stem":2842},"Repository Pattern та Clean Architecture у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-repository-clean-arch","05.python\u002Ffastapi\u002F24.fastapi-repository-clean-arch",{"title":2844,"path":2845,"stem":2846},"Автентифікація та авторизація — JWT, OAuth2, RBAC","\u002Fpython\u002Ffastapi\u002Ffastapi-auth-security","05.python\u002Ffastapi\u002F25.fastapi-auth-security",{"title":2848,"path":2849,"stem":2850},"Тестування FastAPI — pytest, httpx, fixtures","\u002Fpython\u002Ffastapi\u002Ffastapi-testing","05.python\u002Ffastapi\u002F26.fastapi-testing",{"title":2852,"path":2853,"stem":2854},"Async на повну — Background Tasks, WebSockets, SSE та Celery","\u002Fpython\u002Ffastapi\u002Ffastapi-async-advanced","05.python\u002Ffastapi\u002F27.fastapi-async-advanced",{"title":2856,"path":2857,"stem":2858},"Deployment — Docker, CI\u002FCD, Monitoring","\u002Fpython\u002Ffastapi\u002Ffastapi-deployment","05.python\u002Ffastapi\u002F28.fastapi-deployment",{"title":2860,"path":2861,"stem":2862},"[object Object]","\u002Fpython\u002Foop-plan","05.python\u002Foop-plan",{"title":2864,"icon":2865,"path":2866,"stem":2867,"children":2868,"page":59},"Бази даних","i-lucide-database","\u002Fdatabases","06.databases",[2869,2899,2922,2959,2988,3006,3040,3052,3061],{"title":2870,"icon":2871,"path":2872,"stem":2873,"children":2874,"page":59},"Intro","i-lucide-play","\u002Fdatabases\u002Fintro","06.databases\u002F01.intro",[2875,2879,2883,2887,2891,2895],{"title":2876,"path":2877,"stem":2878},"Введення в теорію баз даних","\u002Fdatabases\u002Fintro\u002Fintroduction-to-databases","06.databases\u002F01.intro\u002F01.introduction-to-databases",{"title":2880,"path":2881,"stem":2882},"Реляційна модель даних","\u002Fdatabases\u002Fintro\u002Frelational-model-theory","06.databases\u002F01.intro\u002F02.relational-model-theory",{"title":2884,"path":2885,"stem":2886},"ER-моделювання","\u002Fdatabases\u002Fintro\u002Fer-modeling","06.databases\u002F01.intro\u002F03.er-modeling",{"title":2888,"path":2889,"stem":2890},"Логічне проектування БД","\u002Fdatabases\u002Fintro\u002Flogical-schema","06.databases\u002F01.intro\u002F04.logical-schema",{"title":2892,"path":2893,"stem":2894},"Класифікація таблиць","\u002Fdatabases\u002Fintro\u002Ftable-classification","06.databases\u002F01.intro\u002F05.table-classification",{"title":2896,"path":2897,"stem":2898},"PlantUML для баз даних","\u002Fdatabases\u002Fintro\u002Fplantuml-diagrams","06.databases\u002F01.intro\u002F06.plantuml-diagrams",{"title":2900,"icon":2865,"path":2901,"stem":2902,"children":2903,"page":59},"MS SQL Server Start","\u002Fdatabases\u002Fms-sql-server-start","06.databases\u002F02.ms-sql-server-start",[2904,2908,2914,2918],{"title":2905,"path":2906,"stem":2907},"Типи даних у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fdata-types","06.databases\u002F02.ms-sql-server-start\u002F01.data-types",{"title":2909,"path":2910,"stem":2911,"children":2912},"Індекси у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-indexes","06.databases\u002F02.ms-sql-server-start\u002F02.sql-indexes",[2913],{"title":2909,"path":2910,"stem":2911},{"title":2915,"path":2916,"stem":2917},"Системні бази даних MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsystem-databases","06.databases\u002F02.ms-sql-server-start\u002F03.system-databases",{"title":2919,"path":2920,"stem":2921},"Огляд мови SQL та запитів","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-queries-overview","06.databases\u002F02.ms-sql-server-start\u002F04.sql-queries-overview",{"title":2923,"icon":2865,"path":2924,"stem":2925,"children":2926,"page":59},"SQL","\u002Fdatabases\u002Fsql","06.databases\u002F03.sql",[2927,2931,2935,2939,2943,2947,2951,2955],{"title":2928,"path":2929,"stem":2930},"Налаштування демонстраційної бази даних","\u002Fdatabases\u002Fsql\u002Fsample-database-setup","06.databases\u002F03.sql\u002F00.sample-database-setup",{"title":2932,"path":2933,"stem":2934},"DDL - Створення таблиць (CREATE TABLE)","\u002Fdatabases\u002Fsql\u002Fddl-create-table","06.databases\u002F03.sql\u002F01.ddl-create-table",{"title":2936,"path":2937,"stem":2938},"DDL - Зміна та видалення таблиць (ALTER, DROP)","\u002Fdatabases\u002Fsql\u002Fddl-alter-drop-table","06.databases\u002F03.sql\u002F02.ddl-alter-drop-table",{"title":2940,"path":2941,"stem":2942},"SELECT запити - Основи","\u002Fdatabases\u002Fsql\u002Fselect-queries-fundamentals","06.databases\u002F03.sql\u002F03.select-queries-fundamentals",{"title":2944,"path":2945,"stem":2946},"SELECT запити - Розширені можливості","\u002Fdatabases\u002Fsql\u002Fselect-queries-advanced","06.databases\u002F03.sql\u002F04.select-queries-advanced",{"title":2948,"path":2949,"stem":2950},"INSERT запити - Додавання даних","\u002Fdatabases\u002Fsql\u002Finsert-queries","06.databases\u002F03.sql\u002F05.insert-queries",{"title":2952,"path":2953,"stem":2954},"UPDATE та DELETE запити","\u002Fdatabases\u002Fsql\u002Fupdate-delete-queries","06.databases\u002F03.sql\u002F06.update-delete-queries",{"title":2956,"path":2957,"stem":2958},"Транзакції в SQL","\u002Fdatabases\u002Fsql\u002Ftransactions","06.databases\u002F03.sql\u002F07.transactions",{"title":2960,"icon":2865,"path":2961,"stem":2962,"children":2963,"page":59},"Multi Table Databases","\u002Fdatabases\u002Fmulti-table-databases","06.databases\u002F04.multi-table-databases",[2964,2968,2972,2976,2980,2984],{"title":2965,"path":2966,"stem":2967},"Зв'язки та нормалізація БД","\u002Fdatabases\u002Fmulti-table-databases\u002Frelationships-and-normalization","06.databases\u002F04.multi-table-databases\u002F00.relationships-and-normalization",{"title":2969,"path":2970,"stem":2971},"INNER JOIN - З'єднання таблиць","\u002Fdatabases\u002Fmulti-table-databases\u002Finner-join","06.databases\u002F04.multi-table-databases\u002F01.inner-join",{"title":2973,"path":2974,"stem":2975},"OUTER JOINs - LEFT, RIGHT, FULL","\u002Fdatabases\u002Fmulti-table-databases\u002Fouter-joins","06.databases\u002F04.multi-table-databases\u002F02.outer-joins",{"title":2977,"path":2978,"stem":2979},"CROSS та SELF JOINs","\u002Fdatabases\u002Fmulti-table-databases\u002Fcross-self-joins","06.databases\u002F04.multi-table-databases\u002F03.cross-self-joins",{"title":2981,"path":2982,"stem":2983},"Підзапити (Subqueries)","\u002Fdatabases\u002Fmulti-table-databases\u002Fsubqueries","06.databases\u002F04.multi-table-databases\u002F04.subqueries",{"title":2985,"path":2986,"stem":2987},"Агрегації з JOIN","\u002Fdatabases\u002Fmulti-table-databases\u002Faggregations-with-joins","06.databases\u002F04.multi-table-databases\u002F05.aggregations-with-joins",{"title":2989,"icon":2990,"path":2991,"stem":2992,"children":2993,"page":59},"Aggregate Functions","i-lucide-calculator","\u002Fdatabases\u002Faggregate-functions","06.databases\u002F05.aggregate-functions",[2994,2998,3002],{"title":2995,"path":2996,"stem":2997},"Функції агрегування в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fintroduction-aggregate-functions","06.databases\u002F05.aggregate-functions\u002F01.introduction-aggregate-functions",{"title":2999,"path":3000,"stem":3001},"Групування даних в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fgrouping-data","06.databases\u002F05.aggregate-functions\u002F02.grouping-data",{"title":3003,"path":3004,"stem":3005},"Підзапити з агрегатними функціями","\u002Fdatabases\u002Faggregate-functions\u002Fsubqueries-aggregates","06.databases\u002F05.aggregate-functions\u002F03.subqueries-aggregates",{"title":3007,"icon":3008,"path":3009,"stem":3010,"children":3011,"page":59},"Тригери та зберігаємі процедури","i-lucide-database-zap","\u002Fdatabases\u002Ftriggers-stored-procedures","06.databases\u002F07.triggers-stored-procedures",[3012,3016,3020,3024,3028,3032,3036],{"title":3013,"path":3014,"stem":3015},"DML-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fdml-triggers","06.databases\u002F07.triggers-stored-procedures\u002F01.dml-triggers",{"title":3017,"path":3018,"stem":3019},"DDL-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fddl-triggers","06.databases\u002F07.triggers-stored-procedures\u002F02.ddl-triggers",{"title":3021,"path":3022,"stem":3023},"Transact-SQL розширення","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransact-sql-extensions","06.databases\u002F07.triggers-stored-procedures\u002F03.transact-sql-extensions",{"title":3025,"path":3026,"stem":3027},"Транзакції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransactions","06.databases\u002F07.triggers-stored-procedures\u002F04.transactions",{"title":3029,"path":3030,"stem":3031},"Зберігаємі процедури","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fstored-procedures","06.databases\u002F07.triggers-stored-procedures\u002F05.stored-procedures",{"title":3033,"path":3034,"stem":3035},"Користувацькі функції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fuser-defined-functions","06.databases\u002F07.triggers-stored-procedures\u002F06.user-defined-functions",{"title":3037,"path":3038,"stem":3039},"Безпека баз даних","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fsecurity","06.databases\u002F07.triggers-stored-procedures\u002F08.security",{"title":3037,"icon":793,"path":3041,"stem":3042,"children":3043,"page":59},"\u002Fdatabases\u002Fsecurity","06.databases\u002F08.security",[3044,3048],{"title":3045,"path":3046,"stem":3047},"Вступ до безпеки баз даних","\u002Fdatabases\u002Fsecurity\u002Fintroduction","06.databases\u002F08.security\u002F01.introduction",{"title":3049,"path":3050,"stem":3051},"Системні представлення та метадані","\u002Fdatabases\u002Fsecurity\u002Fsystem-views","06.databases\u002F08.security\u002F02.system-views",{"title":3053,"icon":3054,"path":3055,"stem":3056,"children":3057,"page":59},"Резервне копіювання та відновлення","i-lucide-database-backup","\u002Fdatabases\u002Fbackup-recovery","06.databases\u002F09.backup-recovery",[3058],{"title":3053,"path":3059,"stem":3060},"\u002Fdatabases\u002Fbackup-recovery\u002Fbackup-restore","06.databases\u002F09.backup-recovery\u002F01.backup-restore",{"title":3062,"icon":3063,"path":3064,"stem":3065,"children":3066,"page":59},"Повнотекстовий пошук","i-lucide-search","\u002Fdatabases\u002Ffull-text-search","06.databases\u002F10.full-text-search",[3067],{"title":3062,"path":3068,"stem":3069},"\u002Fdatabases\u002Ffull-text-search\u002Ffull-text-search","06.databases\u002F10.full-text-search\u002F01.full-text-search",{"title":3071,"icon":3072,"path":3073,"stem":3074,"children":3075,"page":59},"Tools","i-lucide-wrench","\u002Ftools","07.tools",[3076,3152],{"title":3077,"icon":3078,"path":3079,"stem":3080,"children":3081},"Docker","i-simple-icons-docker","\u002Ftools\u002Fdocker","07.tools\u002F01.docker\u002Findex",[3082,3084,3088,3092,3096,3100,3104,3108,3112,3116,3120,3124,3128,3132,3136,3140,3144,3148],{"title":3083,"path":3079,"stem":3080},"Docker: від нуля до production",{"title":3085,"path":3086,"stem":3087},"Контейнеризація — від проблеми до рішення","\u002Ftools\u002Fdocker\u002Fcontainerization-concept","07.tools\u002F01.docker\u002F01.containerization-concept",{"title":3089,"path":3090,"stem":3091},"Docker — що це і навіщо?","\u002Ftools\u002Fdocker\u002Fdocker-what-and-why","07.tools\u002F01.docker\u002F02.docker-what-and-why",{"title":3093,"path":3094,"stem":3095},"Архітектура Docker Engine","\u002Ftools\u002Fdocker\u002Fdocker-architecture","07.tools\u002F01.docker\u002F03.docker-architecture",{"title":3097,"path":3098,"stem":3099},"Встановлення Docker","\u002Ftools\u002Fdocker\u002Finstallation","07.tools\u002F01.docker\u002F04.installation",{"title":3101,"path":3102,"stem":3103},"Перший контейнер — docker run","\u002Ftools\u002Fdocker\u002Ffirst-container","07.tools\u002F01.docker\u002F05.first-container",{"title":3105,"path":3106,"stem":3107},"Життєвий цикл контейнера","\u002Ftools\u002Fdocker\u002Fcontainer-lifecycle","07.tools\u002F01.docker\u002F06.container-lifecycle",{"title":3109,"path":3110,"stem":3111},"Docker Images — фундаментальні концепції","\u002Ftools\u002Fdocker\u002Fdocker-images-fundamentals","07.tools\u002F01.docker\u002F07.docker-images-fundamentals",{"title":3113,"path":3114,"stem":3115},"Dockerfile — основи","\u002Ftools\u002Fdocker\u002Fdockerfile-basics","07.tools\u002F01.docker\u002F08.dockerfile-basics",{"title":3117,"path":3118,"stem":3119},"Dockerfile — просунуті техніки","\u002Ftools\u002Fdocker\u002Fdockerfile-advanced","07.tools\u002F01.docker\u002F09.dockerfile-advanced",{"title":3121,"path":3122,"stem":3123},"Build Context та кешування шарів","\u002Ftools\u002Fdocker\u002Fbuild-context-and-cache","07.tools\u002F01.docker\u002F10.build-context-and-cache",{"title":3125,"path":3126,"stem":3127},"Реєстри Docker-образів","\u002Ftools\u002Fdocker\u002Fimage-registries","07.tools\u002F01.docker\u002F11.image-registries",{"title":3129,"path":3130,"stem":3131},"Контейнеризація .NET додатків","\u002Ftools\u002Fdocker\u002Fdotnet-containerization","07.tools\u002F01.docker\u002F12.dotnet-containerization",{"title":3133,"path":3134,"stem":3135},"Томи та збереження даних","\u002Ftools\u002Fdocker\u002Fvolumes-and-data","07.tools\u002F01.docker\u002F13.volumes-and-data",{"title":3137,"path":3138,"stem":3139},"Основи мережі в Docker","\u002Ftools\u002Fdocker\u002Fnetworking-basics","07.tools\u002F01.docker\u002F14.networking-basics",{"title":3141,"path":3142,"stem":3143},"Змінні оточення та конфігурація","\u002Ftools\u002Fdocker\u002Fenvironment-and-configuration","07.tools\u002F01.docker\u002F15.environment-and-configuration",{"title":3145,"path":3146,"stem":3147},"Docker Compose — оркестрація контейнерів","\u002Ftools\u002Fdocker\u002Fdocker-compose-basics","07.tools\u002F01.docker\u002F16.docker-compose-basics",{"title":3149,"path":3150,"stem":3151},"Docker Compose — Multi-Service застосунки","\u002Ftools\u002Fdocker\u002Fcompose-multi-service","07.tools\u002F01.docker\u002F17.compose-multi-service",{"title":3153,"icon":3154,"path":3155,"stem":3156,"children":3157},"Kubernetes","simple-icons:kubernetes","\u002Ftools\u002Fkubernetes","07.tools\u002F02.kubernetes\u002Findex",[3158,3160,3164,3168,3172,3176,3180,3184,3188],{"title":3159,"path":3155,"stem":3156},"Kubernetes: від розробки до production",{"title":3161,"path":3162,"stem":3163},"Kubernetes — коли Docker Compose більше не вистачає","\u002Ftools\u002Fkubernetes\u002Fwhy-kubernetes","07.tools\u002F02.kubernetes\u002F01.why-kubernetes",{"title":3165,"path":3166,"stem":3167},"Архітектура Kubernetes — анатомія кластера","\u002Ftools\u002Fkubernetes\u002Fkubernetes-architecture","07.tools\u002F02.kubernetes\u002F02.kubernetes-architecture",{"title":3169,"path":3170,"stem":3171},"Локальне середовище — minikube, kind та k3s","\u002Ftools\u002Fkubernetes\u002Flocal-environment","07.tools\u002F02.kubernetes\u002F03.local-environment",{"title":3173,"path":3174,"stem":3175},"Pod — атомарна одиниця Kubernetes","\u002Ftools\u002Fkubernetes\u002Fpods-and-containers","07.tools\u002F02.kubernetes\u002F04.pods-and-containers",{"title":3177,"path":3178,"stem":3179},"Патерни використання Pod","\u002Ftools\u002Fkubernetes\u002Fpod-patterns","07.tools\u002F02.kubernetes\u002F05.pod-patterns",{"title":3181,"path":3182,"stem":3183},"Deployment — декларативне управління Pod","\u002Ftools\u002Fkubernetes\u002Fdeployment-basics","07.tools\u002F02.kubernetes\u002F06.deployment-basics",{"title":3185,"path":3186,"stem":3187},"Rolling Updates та управління життєвим циклом Deployment","\u002Ftools\u002Fkubernetes\u002Fdeployment-rolling-updates","07.tools\u002F02.kubernetes\u002F07.deployment-rolling-updates",{"title":3189,"path":3190,"stem":3191},"Service — мережева абстракція для Pod","\u002Ftools\u002Fkubernetes\u002Fservices-networking","07.tools\u002F02.kubernetes\u002F08.services-networking",{"title":3193,"icon":3194,"path":3195,"stem":3196,"children":3197,"page":59},"Software Engineering","i-lucide-code-2","\u002Fsoftware-engineering","09.software-engineering",[3198,3202,3206,3210,3214,3218,3222,3226,3230,3234,3238],{"title":3199,"path":3200,"stem":3201},"1. Аналіз предметної області. Експертні знання та складність","\u002Fsoftware-engineering\u002Fintro-subdomains","09.software-engineering\u002F01.intro-subdomains",{"title":3203,"path":3204,"stem":3205},"2. Обмежені контексти. Інтеграція обмежених контекстів","\u002Fsoftware-engineering\u002Fintegrating-limited-contexts","09.software-engineering\u002F02.integrating-limited-contexts",{"title":3207,"path":3208,"stem":3209},"3. Реалізація простої бізнес-логіки","\u002Fsoftware-engineering\u002Fsimple","09.software-engineering\u002F03.simple",{"title":3211,"path":3212,"stem":3213},"4. Опрацювання складної бізнес-логіки","\u002Fsoftware-engineering\u002Fcomplex-business-logic","09.software-engineering\u002F04.complex-business-logic",{"title":3215,"path":3216,"stem":3217},"5. Моделювання фактора часу. Подієво-орієнтована архітектура.","\u002Fsoftware-engineering\u002Fmodelling-the-time-factor","09.software-engineering\u002F05.modelling-the-time-factor",{"title":3219,"path":3220,"stem":3221},"6. Архітектурні патерни","\u002Fsoftware-engineering\u002Farchitectural-patterns","09.software-engineering\u002F06.architectural-patterns",{"title":3223,"path":3224,"stem":3225},"Паттерни взаємодії","\u002Fsoftware-engineering\u002Fpatterns-of-interaction","09.software-engineering\u002F07.patterns-of-interaction",{"title":3227,"path":3228,"stem":3229},"Евристика проєктування","\u002Fsoftware-engineering\u002Fdesign-heuristics","09.software-engineering\u002F08.design-heuristics",{"title":3231,"path":3232,"stem":3233},"Еволюція проєктних рішень","\u002Fsoftware-engineering\u002Fevolution-of-design-solutions","09.software-engineering\u002F09.evolution-of-design-solutions",{"title":3235,"path":3236,"stem":3237},"EventStorming","\u002Fsoftware-engineering\u002Feventstorming","09.software-engineering\u002F10.eventstorming",{"title":3239,"path":3240,"stem":3241},"DDD на практиці","\u002Fsoftware-engineering\u002Fddd-in-practice","09.software-engineering\u002F11.ddd-in-practice",{"title":3243,"icon":943,"path":3244,"stem":3245,"children":3246,"page":59},"DDD","\u002Fddd","10.ddd",[3247,3251,3255,3259,3263,3267,3271,3275,3279,3283,3287,3291,3295],{"title":3248,"path":3249,"stem":3250},"Аналіз предметної області","\u002Fddd\u002Fdomain-analysis","10.ddd\u002F01.domain-analysis",{"title":3252,"path":3253,"stem":3254},"Експертні знання про предметну область","\u002Fddd\u002Fdomain-expert-knowledge","10.ddd\u002F02.domain-expert-knowledge",{"title":3256,"path":3257,"stem":3258},"Як осмислити складність предметної області","\u002Fddd\u002Fmanaging-domain-complexity","10.ddd\u002F03.managing-domain-complexity",{"title":3260,"path":3261,"stem":3262},"Інтеграція обмежених контекстів","\u002Fddd\u002Fbounded-context-integration","10.ddd\u002F04.bounded-context-integration",{"title":3264,"path":3265,"stem":3266},"Реалізація простої бізнес-логіки","\u002Fddd\u002Fsimple-business-logic","10.ddd\u002F05.simple-business-logic",{"title":3268,"path":3269,"stem":3270},"Обробка складної бізнес-логіки","\u002Fddd\u002Fcomplex-business-logic","10.ddd\u002F06.complex-business-logic",{"title":3272,"path":3273,"stem":3274},"Моделювання фактора часу","\u002Fddd\u002Ftime-modeling","10.ddd\u002F07.time-modeling",{"title":3276,"path":3277,"stem":3278},"Глава 8. Архітектурні Патерни","\u002Fddd\u002Farchitectural-patterns","10.ddd\u002F08.architectural-patterns",{"title":3280,"path":3281,"stem":3282},"Глава 9. Патерни Взаємодії","\u002Fddd\u002Finteraction-patterns","10.ddd\u002F09.interaction-patterns",{"title":3284,"path":3285,"stem":3286},"Глава 10. Проектні Евристики","\u002Fddd\u002Fdesign-heuristics","10.ddd\u002F10.design-heuristics",{"title":3288,"path":3289,"stem":3290},"Глава 11. Еволюція Проектних Рішень","\u002Fddd\u002Fevolution-of-design-decisions","10.ddd\u002F11.evolution-of-design-decisions",{"title":3292,"path":3293,"stem":3294},"Глава 12. EventStorming","\u002Fddd\u002Fevent-storming","10.ddd\u002F12.event-storming",{"title":3296,"path":3297,"stem":3298},"Глава 13. DDD на Практиці","\u002Fddd\u002Fddd-in-practice","10.ddd\u002F13.ddd-in-practice",{"title":3300,"icon":3301,"path":3302,"stem":3303,"children":3304,"page":59},"Media Streaming","i-lucide-video","\u002Fmedia-streaming","11.media-streaming",[3305,3309,3313,3317,3321,3325,3329],{"title":3306,"path":3307,"stem":3308},"01. Магія Стрімінгу: Що відбувається, коли ви натискаєте \"Play\"","\u002Fmedia-streaming\u002Fintroduction","11.media-streaming\u002F01.introduction",{"title":3310,"path":3311,"stem":3312},"02. Анатомія Медіа: Кодеки, Контейнери та Стиснення","\u002Fmedia-streaming\u002Faudio-video-anatomy","11.media-streaming\u002F02.audio-video-anatomy",{"title":3314,"path":3315,"stem":3316},"03. The Gym: FFmpeg Deep Dive","\u002Fmedia-streaming\u002Fffmpeg-gym","11.media-streaming\u002F03.ffmpeg-gym",{"title":3318,"path":3319,"stem":3320},"04. HLS Protocol: HTTP Live Streaming у Деталях","\u002Fmedia-streaming\u002Fhls-protocol","11.media-streaming\u002F04.hls-protocol",{"title":3322,"path":3323,"stem":3324},"05. DASH Protocol: Відкритий Стандарт","\u002Fmedia-streaming\u002Fdash-protocol","11.media-streaming\u002F05.dash-protocol",{"title":3326,"path":3327,"stem":3328},"06. Масштабування: CDN та Adaptive Bitrate","\u002Fmedia-streaming\u002Fcdn-and-adaptive-bitrate","11.media-streaming\u002F06.cdn-and-adaptive-bitrate",{"title":3330,"path":3331,"stem":3332},"07. Війна із Затримкою (Latency)","\u002Fmedia-streaming\u002Frealtime-latency","11.media-streaming\u002F07.realtime-latency",{"title":3334,"icon":3335,"path":3336,"stem":3337,"children":3338,"page":59},"HTML & CSS","i-devicon-html5","\u002Fhtml-css","12.html-css",[3339,3343,3347,3351,3355,3359,3363,3367,3371,3375,3379,3383,3387,3391,3395,3399,3403,3407,3411,3415,3419,3423,3427,3431,3435,3439,3443,3447,3451,3455],{"title":3340,"path":3341,"stem":3342},"Вступ до HTML. Структура документа","\u002Fhtml-css\u002Fintro-html-structure","12.html-css\u002F01.intro-html-structure",{"title":3344,"path":3345,"stem":3346},"Форматування тексту в HTML","\u002Fhtml-css\u002Fhtml-text-formatting","12.html-css\u002F02.html-text-formatting",{"title":3348,"path":3349,"stem":3350},"Посилання та зображення в HTML","\u002Fhtml-css\u002Fhtml-links-images","12.html-css\u002F03.html-links-images",{"title":3352,"path":3353,"stem":3354},"Списки та таблиці в HTML","\u002Fhtml-css\u002Fhtml-lists-tables","12.html-css\u002F04.html-lists-tables",{"title":3356,"path":3357,"stem":3358},"Форми в HTML","\u002Fhtml-css\u002Fhtml-forms","12.html-css\u002F05.html-forms",{"title":3360,"path":3361,"stem":3362},"Семантичні елементи HTML5","\u002Fhtml-css\u002Fhtml-semantic-elements","12.html-css\u002F06.html-semantic-elements",{"title":3364,"path":3365,"stem":3366},"Мультимедіа та розширені елементи HTML","\u002Fhtml-css\u002Fhtml-multimedia-advanced","12.html-css\u002F07.html-multimedia-advanced",{"title":3368,"path":3369,"stem":3370},"Мікророзмітка та SEO в HTML","\u002Fhtml-css\u002Fhtml-microdata-seo","12.html-css\u002F08.html-microdata-seo",{"title":3372,"path":3373,"stem":3374},"Вступ до CSS. Селектори та специфічність","\u002Fhtml-css\u002Fcss-intro-selectors","12.html-css\u002F09.css-intro-selectors",{"title":3376,"path":3377,"stem":3378},"Блокова модель CSS. Відступи. Box Sizing","\u002Fhtml-css\u002Fcss-box-model","12.html-css\u002F10.css-box-model",{"title":3380,"path":3381,"stem":3382},"Розміри у CSS: повний довідник одиниць і ключових слів","\u002Fhtml-css\u002F10a.css-sizing","12.html-css\u002F10a.css-sizing",{"title":3384,"path":3385,"stem":3386},"Типографіка в CSS. Шрифти та текст","\u002Fhtml-css\u002Fcss-typography","12.html-css\u002F11.css-typography",{"title":3388,"path":3389,"stem":3390},"Кольори та фони в CSS","\u002Fhtml-css\u002Fcss-colors-backgrounds","12.html-css\u002F12.css-colors-backgrounds",{"title":3392,"path":3393,"stem":3394},"Тіні та фільтри в CSS","\u002Fhtml-css\u002F12b.css-shadows-filters","12.html-css\u002F12b.css-shadows-filters",{"title":3396,"path":3397,"stem":3398},"CSS Flexbox: Фундамент гнучких макетів","\u002Fhtml-css\u002Fcss-flexbox-fundamentals","12.html-css\u002F13.css-flexbox-fundamentals",{"title":3400,"path":3401,"stem":3402},"CSS Flexbox: Вирівнювання та Позиціонування","\u002Fhtml-css\u002Fcss-flexbox-alignment-sizing-and-patterns","12.html-css\u002F14.css-flexbox-alignment-sizing-and-patterns",{"title":3404,"path":3405,"stem":3406},"CSS Grid. Двовимірний макет. Частина 1","\u002Fhtml-css\u002Fcss-layout-grid","12.html-css\u002F15.css-layout-grid",{"title":3408,"path":3409,"stem":3410},"CSS Grid. Двовимірний макет. Частина 2","\u002Fhtml-css\u002Fcss-layout-grid-advanced","12.html-css\u002F16.css-layout-grid-advanced",{"title":3412,"path":3413,"stem":3414},"Позиціонування в CSS. Z-index. Stacking Context","\u002Fhtml-css\u002Fcss-positioning","12.html-css\u002F17.css-positioning",{"title":3416,"path":3417,"stem":3418},"CSS Анімації та Переходи","\u002Fhtml-css\u002Fcss-animations-transitions","12.html-css\u002F18.css-animations-transitions",{"title":3420,"path":3421,"stem":3422},"Адаптивний дизайн. Media Queries. Частина 1","\u002Fhtml-css\u002Fcss-responsive-media-queries","12.html-css\u002F19.css-responsive-media-queries",{"title":3424,"path":3425,"stem":3426},"Адаптивний дизайн. Частина 2: clamp(), Container Queries, @layer","\u002Fhtml-css\u002Fcss-responsive-advanced","12.html-css\u002F20.css-responsive-advanced",{"title":3428,"path":3429,"stem":3430},"CSS Custom Properties. Методології. Сучасний CSS","\u002Fhtml-css\u002Fcss-variables-methodologies","12.html-css\u002F21.css-variables-methodologies",{"title":3432,"path":3433,"stem":3434},"Сучасний CSS 2023–2025: Нові можливості","\u002Fhtml-css\u002Fcss-modern-features","12.html-css\u002F22.css-modern-features",{"title":3436,"path":3437,"stem":3438},"CSS Nesting, @layer, @scope та @property: нативний препроцесор","\u002Fhtml-css\u002F22a.css-nesting-modern-syntax","12.html-css\u002F22a.css-nesting-modern-syntax",{"title":3440,"path":3441,"stem":3442},"CSS для форм та інтерактивних станів","\u002Fhtml-css\u002Fcss-forms-interactive-states","12.html-css\u002F23.css-forms-interactive-states",{"title":3444,"path":3445,"stem":3446},"Доступність у CSS (CSS Accessibility)","\u002Fhtml-css\u002Fcss-accessibility","12.html-css\u002F24.css-accessibility",{"title":3448,"path":3449,"stem":3450},"CSS-функції та сучасні sizing primitives","\u002Fhtml-css\u002Fcss-functions-sizing","12.html-css\u002F25.css-functions-sizing",{"title":3452,"path":3453,"stem":3454},"Rendering Pipeline і CSS Performance","\u002Fhtml-css\u002Fcss-rendering-performance","12.html-css\u002F26.css-rendering-performance",{"title":3456,"path":3457,"stem":3458},"CSS Best Practices: типові ситуації та правильні рішення","\u002Fhtml-css\u002Fcss-best-practices","12.html-css\u002F27.css-best-practices",{"title":3460,"path":3461,"stem":3462,"children":3463,"page":59},"AWS","\u002Faws","13.aws",[3464,3468,3472,3476,3480,3484,3488,3492,3496,3500,3504,3508,3512,3516,3520,3524,3528,3532],{"title":3465,"path":3466,"stem":3467},"Реєстрація AWS акаунту та студентські програми","\u002Faws\u002Faccount-registration","13.aws\u002F00.account-registration",{"title":3469,"path":3470,"stem":3471},"Вступ до хмарних обчислень та AWS","\u002Faws\u002Fintroduction-to-cloud","13.aws\u002F01.introduction-to-cloud",{"title":3473,"path":3474,"stem":3475},"AWS IAM — Identity and Access Management","\u002Faws\u002Fiam","13.aws\u002F02.iam",{"title":3477,"path":3478,"stem":3479},"AWS IAM CLI — Довідник команд","\u002Faws\u002F02a.iam-doc","13.aws\u002F02a.iam-doc",{"title":3481,"path":3482,"stem":3483},"Docker та контейнеризація в AWS — ECR, ECS та Fargate","\u002Faws\u002Fdocker-ecs","13.aws\u002F03.docker-ecs",{"title":3485,"path":3486,"stem":3487},"AWS ECR \u002F ECS CLI — Довідник команд","\u002Faws\u002F03a.docker-ecs-doc","13.aws\u002F03a.docker-ecs-doc",{"title":3489,"path":3490,"stem":3491},"Amazon EC2 — Elastic Compute Cloud","\u002Faws\u002Fec2","13.aws\u002F04.ec2",{"title":3493,"path":3494,"stem":3495},"AWS EC2 CLI — Довідник команд","\u002Faws\u002F04a.ec2-doc","13.aws\u002F04a.ec2-doc",{"title":3497,"path":3498,"stem":3499},"Elastic Load Balancing та Auto Scaling","\u002Faws\u002Falb-asg","13.aws\u002F05.alb-asg",{"title":3501,"path":3502,"stem":3503},"Amazon S3 — Simple Storage Service","\u002Faws\u002Fs3","13.aws\u002F06.s3",{"title":3505,"path":3506,"stem":3507},"Amazon CloudFront — Content Delivery Network","\u002Faws\u002Fcloudfront","13.aws\u002F07.cloudfront",{"title":3509,"path":3510,"stem":3511},"Amazon RDS — Relational Database Service","\u002Faws\u002Frds","13.aws\u002F08.rds",{"title":3513,"path":3514,"stem":3515},"Amazon DynamoDB — NoSQL Database","\u002Faws\u002Fdynamodb","13.aws\u002F09.dynamodb",{"title":3517,"path":3518,"stem":3519},"AWS Lambda та Serverless Compute","\u002Faws\u002Flambda","13.aws\u002F10.lambda",{"title":3521,"path":3522,"stem":3523},"Amazon Bedrock - Foundation Models, RAG та Agents","\u002Faws\u002Fbedrock","13.aws\u002F22.bedrock",{"title":3525,"path":3526,"stem":3527},"Amazon Rekognition - Комп'ютерний зір","\u002Faws\u002Frekognition","13.aws\u002F23.rekognition",{"title":3529,"path":3530,"stem":3531},"Amazon Textract - Інтелектуальний аналіз документів","\u002Faws\u002Ftextract","13.aws\u002F24.textract",{"title":3533,"path":3534,"stem":3535},"Amazon Polly, Transcribe, Comprehend та Translate","\u002Faws\u002Faudio-nlp-services","13.aws\u002F25.audio-nlp-services",{"title":3537,"path":3538,"stem":3539,"children":3540,"page":59},"Ai Development","\u002Fai-development","14.ai-development",[3541],{"title":3542,"path":3543,"stem":3544,"children":3545,"page":59},"Foundations","\u002Fai-development\u002Ffoundations","14.ai-development\u002F00.foundations",[3546],{"title":3547,"path":3548,"stem":3549},"Модуль 0.1. Що таке Large Language Model (LLM)","\u002Fai-development\u002Ffoundations\u002Fwhat-is-llm","14.ai-development\u002F00.foundations\u002F01.what-is-llm",{"title":3551,"path":3552,"stem":3553,"children":3554,"page":59},"React Native","\u002Freact-native","15.react-native",[3555,3576],{"title":3556,"path":3557,"stem":3558,"children":3559,"page":59},"Version1","\u002Freact-native\u002Fversion1","15.react-native\u002Fversion1",[3560,3564,3568,3572],{"title":3561,"path":3562,"stem":3563},"Що таке React Native","\u002Freact-native\u002Fversion1\u002Fwhat-is-react-native","15.react-native\u002Fversion1\u002F01.what-is-react-native",{"title":3565,"path":3566,"stem":3567},"Як влаштований React Native «під капотом»","\u002Freact-native\u002Fversion1\u002Freact-native-architecture","15.react-native\u002Fversion1\u002F02.react-native-architecture",{"title":3569,"path":3570,"stem":3571},"Від React до React Native: ключові відмінності","\u002Freact-native\u002Fversion1\u002Freact-native-vs-react","15.react-native\u002Fversion1\u002F03.react-native-vs-react",{"title":3573,"path":3574,"stem":3575},"View та Text — фундаментальні будівельні блоки","\u002Freact-native\u002Fversion1\u002Fview-and-text","15.react-native\u002Fversion1\u002F04.view-and-text",{"title":3577,"path":3578,"stem":3579,"children":3580,"page":59},"Version2","\u002Freact-native\u002Fversion2","15.react-native\u002Fversion2",[3581,3585,3589,3593,3597,3601,3605,3609,3613,3617,3621,3625,3629,3633,3637,3641,3645,3649,3653,3657,3661,3665,3669,3673,3677,3681,3685],{"title":3582,"path":3583,"stem":3584},"React Native — навіщо він потрібен","\u002Freact-native\u002Fversion2\u002Fwhy-react-native","15.react-native\u002Fversion2\u002F01.why-react-native",{"title":3586,"path":3587,"stem":3588},"Налаштування середовища розробки","\u002Freact-native\u002Fversion2\u002Fenvironment-setup","15.react-native\u002Fversion2\u002F02.environment-setup",{"title":3590,"path":3591,"stem":3592},"Expo і класичний React Native — два шляхи одного фреймворку","\u002Freact-native\u002Fversion2\u002Fexpo-vs-cli-landscape","15.react-native\u002Fversion2\u002F03.expo-vs-cli-landscape",{"title":3594,"path":3595,"stem":3596},"Середовище Expo — перший запуск","\u002Freact-native\u002Fversion2\u002Fexpo-setup-and-tooling","15.react-native\u002Fversion2\u002F04.expo-setup-and-tooling",{"title":3598,"path":3599,"stem":3600},"Структура проєкту та перші UI-примітиви","\u002Freact-native\u002Fversion2\u002Fproject-structure-and-conventions","15.react-native\u002Fversion2\u002F05.project-structure-and-conventions",{"title":3602,"path":3603,"stem":3604},"Базові компоненти React Native","\u002Freact-native\u002Fversion2\u002Fcore-components","15.react-native\u002Fversion2\u002F06.core-components",{"title":3606,"path":3607,"stem":3608},"Flexbox і layout у React Native","\u002Freact-native\u002Fversion2\u002Fflexbox-and-layout","15.react-native\u002Fversion2\u002F07.flexbox-and-layout",{"title":3610,"path":3611,"stem":3612},"StyleSheet і теми (light \u002F dark)","\u002Freact-native\u002Fversion2\u002Fstylesheet-and-theming","15.react-native\u002Fversion2\u002F08.stylesheet-and-theming",{"title":3614,"path":3615,"stem":3616},"Списки та віртуалізація","\u002Freact-native\u002Fversion2\u002Flists-and-virtualization","15.react-native\u002Fversion2\u002F09.lists-and-virtualization",{"title":3618,"path":3619,"stem":3620},"Форми, ввід і валідація","\u002Freact-native\u002Fversion2\u002Fforms-input-validation","15.react-native\u002Fversion2\u002F10.forms-input-validation",{"title":3622,"path":3623,"stem":3624},"Основи Expo Router","\u002Freact-native\u002Fversion2\u002Fexpo-router-basics","15.react-native\u002Fversion2\u002F11.expo-router-basics",{"title":3626,"path":3627,"stem":3628},"Вкладені навігатори та модалки","\u002Freact-native\u002Fversion2\u002Fnested-navigators-and-modals","15.react-native\u002Fversion2\u002F12.nested-navigators-and-modals",{"title":3630,"path":3631,"stem":3632},"Deep linking і параметри маршрутів","\u002Freact-native\u002Fversion2\u002Fdeep-linking-and-params","15.react-native\u002Fversion2\u002F13.deep-linking-and-params",{"title":3634,"path":3635,"stem":3636},"Робота з мережею та життєвий цикл застосунку","\u002Freact-native\u002Fversion2\u002Fnetworking-and-app-lifecycle","15.react-native\u002Fversion2\u002F14.networking-and-app-lifecycle",{"title":3638,"path":3639,"stem":3640},"Redux Toolkit на мобільних платформах","\u002Freact-native\u002Fversion2\u002Fredux-toolkit-on-mobile","15.react-native\u002Fversion2\u002F15.redux-toolkit-on-mobile",{"title":3642,"path":3643,"stem":3644},"RTK Query на мобільних платформах","\u002Freact-native\u002Fversion2\u002Frtk-query-mobile","15.react-native\u002Fversion2\u002F16.rtk-query-mobile",{"title":3646,"path":3647,"stem":3648},"Автентифікація та Безпечне Зберігання","\u002Freact-native\u002Fversion2\u002Fauth-secure-storage","15.react-native\u002Fversion2\u002F18.auth-secure-storage",{"title":3650,"path":3651,"stem":3652},"Локальне сховище — AsyncStorage, MMKV, SQLite","\u002Freact-native\u002Fversion2\u002Flocal-storage-mmkv-sqlite","15.react-native\u002Fversion2\u002F19.local-storage-mmkv-sqlite",{"title":3654,"path":3655,"stem":3656},"Офлайн-First і синхронізація","\u002Freact-native\u002Fversion2\u002Foffline-first-sync","15.react-native\u002Fversion2\u002F20.offline-first-sync",{"title":3658,"path":3659,"stem":3660},"Камера, медіа та файлова система","\u002Freact-native\u002Fversion2\u002Fcamera-media-filesystem","15.react-native\u002Fversion2\u002F21.camera-media-filesystem",{"title":3662,"path":3663,"stem":3664},"Карти та геолокація","\u002Freact-native\u002Fversion2\u002Fmaps-and-location","15.react-native\u002Fversion2\u002F22.maps-and-location",{"title":3666,"path":3667,"stem":3668},"Жести та дотики","\u002Freact-native\u002Fversion2\u002Fgestures-and-touch","15.react-native\u002Fversion2\u002F23.gestures-and-touch",{"title":3670,"path":3671,"stem":3672},"Анімації з Reanimated","\u002Freact-native\u002Fversion2\u002Freanimated-animations","15.react-native\u002Fversion2\u002F24.reanimated-animations",{"title":3674,"path":3675,"stem":3676},"Push і локальні сповіщення","\u002Freact-native\u002Fversion2\u002Fpush-and-local-notifications","15.react-native\u002Fversion2\u002F25.push-and-local-notifications",{"title":3678,"path":3679,"stem":3680},"Інтернаціоналізація та доступність","\u002Freact-native\u002Fversion2\u002Faccessibility-and-i18n","15.react-native\u002Fversion2\u002F26.accessibility-and-i18n",{"title":3682,"path":3683,"stem":3684},"EAS Build та профілі збірки","\u002Freact-native\u002Fversion2\u002Feas-build-and-profiles","15.react-native\u002Fversion2\u002F29.eas-build-and-profiles",{"title":3686,"path":3687,"stem":3688},"Публікація в App Store та Google Play","\u002Freact-native\u002Fversion2\u002Fapp-store-play-release","15.react-native\u002Fversion2\u002F30.app-store-play-release",{"title":3690,"path":3691,"stem":3692,"children":3693,"page":59},"Ai Python","\u002Fai-python","16.ai-python",[3694,3703,3712,3721,3750,3776,3801,3834,3851,3864,3873,3886,3895,3916,3929,3950],{"title":3695,"path":3696,"stem":3697,"children":3698,"page":59},"Intro To Ai","\u002Fai-python\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai",[3699],{"title":3700,"path":3701,"stem":3702},"Вступ до штучного інтелекту та машинного навчання","\u002Fai-python\u002Fintro-to-ai\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai\u002F01.intro-to-ai",{"title":3704,"path":3705,"stem":3706,"children":3707,"page":59},"Jupyter Notebook","\u002Fai-python\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook",[3708],{"title":3709,"path":3710,"stem":3711},"Знайомство з Jupyter Notebook та JupyterLab","\u002Fai-python\u002Fjupyter-notebook\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook\u002F02.jupyter-notebook",{"title":3713,"path":3714,"stem":3715,"children":3716,"page":59},"Numpy Pandas","\u002Fai-python\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas",[3717],{"title":3718,"path":3719,"stem":3720},"Робота з даними з використанням NumPy і pandas","\u002Fai-python\u002Fnumpy-pandas\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas\u002F03.numpy-pandas",{"title":3722,"path":3723,"stem":3724,"children":3725,"page":59},"Statistics Basics","\u002Fai-python\u002Fstatistics-basics","16.ai-python\u002F04.statistics-basics",[3726,3730,3734,3738,3742,3746],{"title":3727,"path":3728,"stem":3729},"Випадкові величини та їх типи","\u002Fai-python\u002Fstatistics-basics\u002Frandom-variables","16.ai-python\u002F04.statistics-basics\u002F01.random-variables",{"title":3731,"path":3732,"stem":3733},"Міри центральної тенденції","\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency","16.ai-python\u002F04.statistics-basics\u002F02.central-tendency",{"title":3735,"path":3736,"stem":3737},"Міри варіації (розсіювання)","\u002Fai-python\u002Fstatistics-basics\u002Fvariability","16.ai-python\u002F04.statistics-basics\u002F03.variability",{"title":3739,"path":3740,"stem":3741},"Розподіли випадкових величин","\u002Fai-python\u002Fstatistics-basics\u002Fdistributions","16.ai-python\u002F04.statistics-basics\u002F04.distributions",{"title":3743,"path":3744,"stem":3745},"Кореляція та взаємозв'язки","\u002Fai-python\u002Fstatistics-basics\u002Fcorrelation","16.ai-python\u002F04.statistics-basics\u002F05.correlation",{"title":3747,"path":3748,"stem":3749},"Викиди та аномалії","\u002Fai-python\u002Fstatistics-basics\u002Foutliers","16.ai-python\u002F04.statistics-basics\u002F06.outliers",{"title":3751,"path":3752,"stem":3753,"children":3754},"Візуалізація даних за допомогою matplotlib","\u002Fai-python\u002Fdata-visualization","16.ai-python\u002F05.data-visualization\u002Findex",[3755,3756,3760,3764,3768,3772],{"title":3751,"path":3752,"stem":3753},{"title":3757,"path":3758,"stem":3759},"Основи matplotlib — Figure, Axes та перший графік","\u002Fai-python\u002Fdata-visualization\u002Fmatplotlib-basics","16.ai-python\u002F05.data-visualization\u002F01.matplotlib-basics",{"title":3761,"path":3762,"stem":3763},"Візуалізація розподілів — гістограми та box plots","\u002Fai-python\u002Fdata-visualization\u002Fdistributions","16.ai-python\u002F05.data-visualization\u002F02.distributions",{"title":3765,"path":3766,"stem":3767},"Візуалізація залежностей — scatter plots та кореляція","\u002Fai-python\u002Fdata-visualization\u002Frelationships","16.ai-python\u002F05.data-visualization\u002F03.relationships",{"title":3769,"path":3770,"stem":3771},"Візуалізація категоріальних даних — bar charts та pie charts","\u002Fai-python\u002Fdata-visualization\u002Fcategorical","16.ai-python\u002F05.data-visualization\u002F04.categorical",{"title":3773,"path":3774,"stem":3775},"Композиції та стилізація — subplots та багатопанельні дашборди","\u002Fai-python\u002Fdata-visualization\u002Fsubplots-styling","16.ai-python\u002F05.data-visualization\u002F05.subplots-styling",{"title":3777,"path":3778,"stem":3779,"children":3780,"page":59},"Linear Regression","\u002Fai-python\u002Flinear-regression","16.ai-python\u002F06.linear-regression",[3781,3785,3789,3793,3797],{"title":3782,"path":3783,"stem":3784},"Регресійна задача та лінійна регресія з однією змінною","\u002Fai-python\u002Flinear-regression\u002Fregression-task","16.ai-python\u002F06.linear-regression\u002F01.regression-task",{"title":3786,"path":3787,"stem":3788},"Метрики якості регресії — як оцінити модель","\u002Fai-python\u002Flinear-regression\u002Fquality-metrics","16.ai-python\u002F06.linear-regression\u002F02.quality-metrics",{"title":3790,"path":3791,"stem":3792},"Градієнтний спуск — як модель навчається","\u002Fai-python\u002Flinear-regression\u002Fgradient-descent","16.ai-python\u002F06.linear-regression\u002F03.gradient-descent",{"title":3794,"path":3795,"stem":3796},"Множинна лінійна регресія — модель з багатьма ознаками","\u002Fai-python\u002Flinear-regression\u002Fmultiple-regression","16.ai-python\u002F06.linear-regression\u002F04.multiple-regression",{"title":3798,"path":3799,"stem":3800},"Практичні завдання та резюме модуля","\u002Fai-python\u002Flinear-regression\u002Fpractice","16.ai-python\u002F06.linear-regression\u002F05.practice",{"title":3802,"path":3803,"stem":3804,"children":3805,"page":59},"Practical Regression","\u002Fai-python\u002Fpractical-regression","16.ai-python\u002F07.practical-regression",[3806,3810,3814,3818,3822,3826,3830],{"title":3807,"path":3808,"stem":3809},"Знайомство з scikit-learn","\u002Fai-python\u002Fpractical-regression\u002Fintro-scikit-learn","16.ai-python\u002F07.practical-regression\u002F01.intro-scikit-learn",{"title":3811,"path":3812,"stem":3813},"Exploratory Data Analysis датасету Housing Prices","\u002Fai-python\u002Fpractical-regression\u002Fhousing-dataset-eda","16.ai-python\u002F07.practical-regression\u002F02.housing-dataset-eda",{"title":3815,"path":3816,"stem":3817},"Попередня обробка даних (Data Preprocessing)","\u002Fai-python\u002Fpractical-regression\u002Fdata-preprocessing","16.ai-python\u002F07.practical-regression\u002F03.data-preprocessing",{"title":3819,"path":3820,"stem":3821},"Train\u002FTest Split та перша повноцінна модель","\u002Fai-python\u002Fpractical-regression\u002Ftrain-test-split","16.ai-python\u002F07.practical-regression\u002F04.train-test-split",{"title":3823,"path":3824,"stem":3825},"Перенавчання та недонавчання","\u002Fai-python\u002Fpractical-regression\u002Foverfitting-underfitting","16.ai-python\u002F07.practical-regression\u002F05.overfitting-underfitting",{"title":3827,"path":3828,"stem":3829},"Крос-валідація (Cross-Validation)","\u002Fai-python\u002Fpractical-regression\u002Fcross-validation","16.ai-python\u002F07.practical-regression\u002F06.cross-validation",{"title":3831,"path":3832,"stem":3833},"Гіперпараметри та їх оптимізація","\u002Fai-python\u002Fpractical-regression\u002Fhyperparameter-tuning","16.ai-python\u002F07.practical-regression\u002F07.hyperparameter-tuning",{"title":3835,"path":3836,"stem":3837,"children":3838,"page":59},"Polynomial Regression","\u002Fai-python\u002Fpolynomial-regression","16.ai-python\u002F08.polynomial-regression",[3839,3843,3847],{"title":3840,"path":3841,"stem":3842},"Нелінійні залежності та поліноміальна регресія","\u002Fai-python\u002Fpolynomial-regression\u002Fnonlinear-patterns","16.ai-python\u002F08.polynomial-regression\u002F01.nonlinear-patterns",{"title":3844,"path":3845,"stem":3846},"Регуляризація в регресії — Ridge та Lasso","\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods","16.ai-python\u002F08.polynomial-regression\u002F02.regularization-methods",{"title":3848,"path":3849,"stem":3850},"Практика — поліноміальна регресія та регуляризація на Housing Prices","\u002Fai-python\u002Fpolynomial-regression\u002Fhousing-prices-practice","16.ai-python\u002F08.polynomial-regression\u002F03.housing-prices-practice",{"title":3852,"path":3853,"stem":3854,"children":3855,"page":59},"Decision Trees Random Forest","\u002Fai-python\u002Fdecision-trees-random-forest","16.ai-python\u002F09.decision-trees-random-forest",[3856,3860],{"title":3857,"path":3858,"stem":3859},"Дерева рішень — моделі з прозорою та зрозумілою логікою","\u002Fai-python\u002Fdecision-trees-random-forest\u002Fdecision-trees","16.ai-python\u002F09.decision-trees-random-forest\u002F01.decision-trees",{"title":3861,"path":3862,"stem":3863},"Random Forest — ансамблі дерев рішень","\u002Fai-python\u002Fdecision-trees-random-forest\u002Frandom-forest","16.ai-python\u002F09.decision-trees-random-forest\u002F02.random-forest",{"title":3865,"path":3866,"stem":3867,"children":3868,"page":59},"Gradient Boosting","\u002Fai-python\u002Fgradient-boosting","16.ai-python\u002F10.gradient-boosting",[3869],{"title":3870,"path":3871,"stem":3872},"Градієнтний бустинг та XGBoost — послідовне виправлення помилок","\u002Fai-python\u002Fgradient-boosting\u002Fgradient-boosting-xgboost","16.ai-python\u002F10.gradient-boosting\u002F01.gradient-boosting-xgboost",{"title":3874,"path":3875,"stem":3876,"children":3877,"page":59},"Logistic Regression Classification","\u002Fai-python\u002Flogistic-regression-classification","16.ai-python\u002F11.logistic-regression-classification",[3878,3882],{"title":3879,"path":3880,"stem":3881},"Основи класифікації та логістична регресія","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-basics","16.ai-python\u002F11.logistic-regression-classification\u002F01.classification-basics",{"title":3883,"path":3884,"stem":3885},"Метрики якості класифікації","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-metrics","16.ai-python\u002F11.logistic-regression-classification\u002F02.classification-metrics",{"title":3887,"path":3888,"stem":3889,"children":3890,"page":59},"Neural Networks Basics","\u002Fai-python\u002Fneural-networks-basics","16.ai-python\u002F12.neural-networks-basics",[3891],{"title":3892,"path":3893,"stem":3894},"Вступ до нейронних мереж — від персептрона до багатошарових мереж","\u002Fai-python\u002Fneural-networks-basics\u002Fperceptron-to-mlp","16.ai-python\u002F12.neural-networks-basics\u002F01.perceptron-to-mlp",{"title":3896,"path":3897,"stem":3898,"children":3899,"page":59},"Pytorch Intro","\u002Fai-python\u002Fpytorch-intro","16.ai-python\u002F13.pytorch-intro",[3900,3904,3908,3912],{"title":3901,"path":3902,"stem":3903},"Тензори та автоматичне диференціювання в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Ftensors-and-autograd","16.ai-python\u002F13.pytorch-intro\u002F01.tensors-and-autograd",{"title":3905,"path":3906,"stem":3907},"Побудова та тренування нейронних мереж у PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fbuilding-and-training","16.ai-python\u002F13.pytorch-intro\u002F02.building-and-training",{"title":3909,"path":3910,"stem":3911},"Робота з даними та регуляризація в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fdata-and-regularization","16.ai-python\u002F13.pytorch-intro\u002F03.data-and-regularization",{"title":3913,"path":3914,"stem":3915},"Просунуті теми PyTorch — GPU, оптимізація та deployment","\u002Fai-python\u002Fpytorch-intro\u002Fadvanced-topics","16.ai-python\u002F13.pytorch-intro\u002F04.advanced-topics",{"title":3917,"path":3918,"stem":3919,"children":3920,"page":59},"Activation Functions Heart Disease","\u002Fai-python\u002Factivation-functions-heart-disease","16.ai-python\u002F14.activation-functions-heart-disease",[3921,3925],{"title":3922,"path":3923,"stem":3924},"Функції активації та побудова нейронної мережі для передбачення вад серця","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fheart-disease-prediction","16.ai-python\u002F14.activation-functions-heart-disease\u002F01.heart-disease-prediction",{"title":3926,"path":3927,"stem":3928},"Бонус — Повний приклад Student Performance Prediction","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fstudent-performance-bonus","16.ai-python\u002F14.activation-functions-heart-disease\u002F02.student-performance-bonus",{"title":3930,"path":3931,"stem":3932,"children":3933,"page":59},"Cnn Image Classification","\u002Fai-python\u002Fcnn-image-classification","16.ai-python\u002F15.cnn-image-classification",[3934,3938,3942,3946],{"title":3935,"path":3936,"stem":3937},"Основи згорткових нейронних мереж — чому не MLP?","\u002Fai-python\u002Fcnn-image-classification\u002Fcnn-fundamentals","16.ai-python\u002F15.cnn-image-classification\u002F01.cnn-fundamentals",{"title":3939,"path":3940,"stem":3941},"Практична імплементація CNN для класифікації MNIST","\u002Fai-python\u002Fcnn-image-classification\u002Fmnist-classification","16.ai-python\u002F15.cnn-image-classification\u002F02.mnist-classification",{"title":3943,"path":3944,"stem":3945},"Глибші CNN та аугментація даних для CIFAR-10","\u002Fai-python\u002Fcnn-image-classification\u002Fcifar10-and-data-augmentation","16.ai-python\u002F15.cnn-image-classification\u002F03.cifar10-and-data-augmentation",{"title":3947,"path":3948,"stem":3949},"Transfer Learning та візуалізація внутрішніх представлень CNN","\u002Fai-python\u002Fcnn-image-classification\u002Ftransfer-learning-and-visualization","16.ai-python\u002F15.cnn-image-classification\u002F04.transfer-learning-and-visualization",{"title":3951,"path":3952,"stem":3953,"children":3954,"page":59},"Batching Normalization Deep Networks","\u002Fai-python\u002Fbatching-normalization-deep-networks","16.ai-python\u002F16.batching-normalization-deep-networks",[3955,3959,3963,3967,3971,3975,3979],{"title":3956,"path":3957,"stem":3958},"Mini-batch Gradient Descent та ефективна обробка даних","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent","16.ai-python\u002F16.batching-normalization-deep-networks\u002F01.mini-batch-gradient-descent",{"title":3960,"path":3961,"stem":3962},"Ініціалізація ваг — фундамент стабільного навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fweight-initialization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F02.weight-initialization",{"title":3964,"path":3965,"stem":3966},"Batch Normalization — прорив у глибокому навчанні","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fbatch-normalization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F03.batch-normalization",{"title":3968,"path":3969,"stem":3970},"Dropout та комбіновані стратегії регуляризації","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdropout-and-regularization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F04.dropout-and-regularization",{"title":3972,"path":3973,"stem":3974},"Проєктування глибоких мереж — від теорії до практики","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdeep-networks-architectures","16.ai-python\u002F16.batching-normalization-deep-networks\u002F05.deep-networks-architectures",{"title":3976,"path":3977,"stem":3978},"Планування learning rate — коли та як зменшувати крок навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Flearning-rate-scheduling","16.ai-python\u002F16.batching-normalization-deep-networks\u002F06.learning-rate-scheduling",{"title":3980,"path":3981,"stem":3982},"Підсумковий проєкт — побудова сучасного класифікатора зображень","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Ffinal-project-deep-classifier","16.ai-python\u002F16.batching-normalization-deep-networks\u002F07.final-project-deep-classifier",{"title":3984,"icon":658,"path":3985,"stem":3986,"children":3987,"page":59},"Клієнт-серверна архітектура","\u002Fclient-server-architecture","17.client-server-architecture",[3988,3992,3996,4000,4004,4008,4012,4016,4020,4024,4028,4032,4036,4040,4044,4048,4052,4056],{"title":3989,"path":3990,"stem":3991},"Архітектура клієнт-серверних систем та основи Go","\u002Fclient-server-architecture\u002Fclient-server-architecture-and-go","17.client-server-architecture\u002F01.client-server-architecture-and-go",{"title":3993,"path":3994,"stem":3995},"Система типів та модель пам’яті мови Go","\u002Fclient-server-architecture\u002Ftype-system-and-memory-model","17.client-server-architecture\u002F02.type-system-and-memory-model",{"title":3997,"path":3998,"stem":3999},"Інтерфейси та модель конкурентності мови Go","\u002Fclient-server-architecture\u002Finterfaces-and-concurrency-model","17.client-server-architecture\u002F03.interfaces-and-concurrency-model",{"title":4001,"path":4002,"stem":4003},"Сокетне програмування та протокол TCP у Go","\u002Fclient-server-architecture\u002Ftcp-socket-programming","17.client-server-architecture\u002F04.tcp-socket-programming",{"title":4005,"path":4006,"stem":4007},"Протокол UDP та датаграмна передача даних","\u002Fclient-server-architecture\u002Fudp-datagram-transmission","17.client-server-architecture\u002F05.udp-datagram-transmission",{"title":4009,"path":4010,"stem":4011},"Криптографічний захист каналів зв","\u002Fclient-server-architecture\u002Ftls-cryptographic-channel-protection","17.client-server-architecture\u002F06.tls-cryptographic-channel-protection",{"title":4013,"path":4014,"stem":4015},"Прикладні мережеві протоколи DNS та SMTP","\u002Fclient-server-architecture\u002Fdns-smtp-application-protocols","17.client-server-architecture\u002F07.dns-smtp-application-protocols",{"title":4017,"path":4018,"stem":4019},"Протокол HTTP та стандартний вебсервер Go","\u002Fclient-server-architecture\u002Fhttp-protocol-and-web-server","17.client-server-architecture\u002F08.http-protocol-and-web-server",{"title":4021,"path":4022,"stem":4023},"Проєктування REST API та маршрутизація засобами Chi","\u002Fclient-server-architecture\u002Frest-api-design-and-chi-routing","17.client-server-architecture\u002F09.rest-api-design-and-chi-routing",{"title":4025,"path":4026,"stem":4027},"Лекція 10. Шарувата архітектура та конвеєри обробки запитів","\u002Fclient-server-architecture\u002Flayered-architecture-and-middleware-pipelines","17.client-server-architecture\u002F10.layered-architecture-and-middleware-pipelines",{"title":4029,"path":4030,"stem":4031},"Лекція 11. Архітектура та маршрутизація фреймворку Gin","\u002Fclient-server-architecture\u002Fgin-framework-architecture-and-routing","17.client-server-architecture\u002F11.gin-framework-architecture-and-routing",{"title":4033,"path":4034,"stem":4035},"Лекція 12. Валідація даних, безпека та документування у Gin","\u002Fclient-server-architecture\u002Fdata-validation-security-and-documentation-in-gin","17.client-server-architecture\u002F12.data-validation-security-and-documentation-in-gin",{"title":4037,"path":4038,"stem":4039},"Лекція 13. Взаємодія з реляційними СУБД та технології ORM","\u002Fclient-server-architecture\u002Frelational-databases-and-orm","17.client-server-architecture\u002F13.relational-databases-and-orm",{"title":4041,"path":4042,"stem":4043},"Потокова передача даних та протокол WebSocket","\u002Fclient-server-architecture\u002Fstreaming-data-and-websockets","17.client-server-architecture\u002F14.streaming-data-and-websockets",{"title":4045,"path":4046,"stem":4047},"Міжсервісна взаємодія на основі протоколу gRPC","\u002Fclient-server-architecture\u002Fgrpc-inter-service-communication","17.client-server-architecture\u002F15.grpc-inter-service-communication",{"title":4049,"path":4050,"stem":4051},"Асинхронний обмін повідомленнями та протоколи черг","\u002Fclient-server-architecture\u002Fasynchronous-message-exchange-and-queue-protocols","17.client-server-architecture\u002F16.asynchronous-message-exchange-and-queue-protocols",{"title":4053,"path":4054,"stem":4055},"Протоколи потокового медіа та технологія WebRTC","\u002Fclient-server-architecture\u002Fstreaming-media-protocols-and-webrtc","17.client-server-architecture\u002F17.streaming-media-protocols-and-webrtc",{"title":4057,"path":4058,"stem":4059},"Моніторинг, безпека та контейнеризація застосунків","\u002Fclient-server-architecture\u002Fmonitoring-security-and-containerization","17.client-server-architecture\u002F18.monitoring-security-and-containerization",{"title":4061,"icon":2118,"path":4062,"stem":4063,"children":4064,"page":59},"Розробка WEB-застосувань","\u002Fweb-development","18.web-development",[4065,4110,4148,4177,4206,4263,4313,4407,4473,4555,4588,4616,4658,4704,4747],{"title":4066,"icon":658,"path":4067,"stem":4068,"children":4069,"page":59},"Архітектура комп'ютерних мереж та мережеві протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols","18.web-development\u002F01.network-architecture-and-protocols",[4070,4074,4078,4082,4086,4090,4094,4098,4102,4106],{"title":4071,"path":4072,"stem":4073},"Еволюція веброзробки та модель клієнт-сервер","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fweb-evolution-client-server","18.web-development\u002F01.network-architecture-and-protocols\u002F01.web-evolution-client-server",{"title":4075,"path":4076,"stem":4077},"Еталонна модель OSI","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fosi-model","18.web-development\u002F01.network-architecture-and-protocols\u002F02.osi-model",{"title":4079,"path":4080,"stem":4081},"Стек протоколів TCP\u002FIP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-ip-stack","18.web-development\u002F01.network-architecture-and-protocols\u002F03.tcp-ip-stack",{"title":4083,"path":4084,"stem":4085},"IP-адресація, порти та сокети","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fip-addressing-ports-sockets","18.web-development\u002F01.network-architecture-and-protocols\u002F04.ip-addressing-ports-sockets",{"title":4087,"path":4088,"stem":4089},"Протоколи TCP та UDP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-udp-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F05.tcp-udp-protocols",{"title":4091,"path":4092,"stem":4093},"Система доменних імен DNS","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fdns-system","18.web-development\u002F01.network-architecture-and-protocols\u002F06.dns-system",{"title":4095,"path":4096,"stem":4097},"Протокол SMTP та поштові протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fsmtp-email-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F07.smtp-email-protocols",{"title":4099,"path":4100,"stem":4101},"Протокол WebSocket","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fwebsocket-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F08.websocket-protocol",{"title":4103,"path":4104,"stem":4105},"Протокол SSH","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fssh-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F09.ssh-protocol",{"title":4107,"path":4108,"stem":4109},"Огляд сучасних серверних технологій","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fmodern-backend-technologies","18.web-development\u002F01.network-architecture-and-protocols\u002F10.modern-backend-technologies",{"title":4111,"icon":4112,"path":4113,"stem":4114,"children":4115,"page":59},"Протокол HTTP та захищена передача даних HTTPS","i-lucide-lock","\u002Fweb-development\u002Fhttp-and-https","18.web-development\u002F02.http-and-https",[4116,4120,4124,4128,4132,4136,4140,4144],{"title":4117,"path":4118,"stem":4119},"Вступ до протоколу HTTP та еволюція веб-технологій","\u002Fweb-development\u002Fhttp-and-https\u002Fintroduction-and-evolution","18.web-development\u002F02.http-and-https\u002F01.introduction-and-evolution",{"title":4121,"path":4122,"stem":4123},"Анатомія HTTP-запиту","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-request-structure","18.web-development\u002F02.http-and-https\u002F02.http-request-structure",{"title":4125,"path":4126,"stem":4127},"Анатомія HTTP-відповіді","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-response-structure","18.web-development\u002F02.http-and-https\u002F03.http-response-structure",{"title":4129,"path":4130,"stem":4131},"Методи HTTP та їхня семантика","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-methods","18.web-development\u002F02.http-and-https\u002F04.http-methods",{"title":4133,"path":4134,"stem":4135},"Коди статусу HTTP та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-status-codes","18.web-development\u002F02.http-and-https\u002F05.http-status-codes",{"title":4137,"path":4138,"stem":4139},"HTTP-заголовки та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-headers","18.web-development\u002F02.http-and-https\u002F06.http-headers",{"title":4141,"path":4142,"stem":4143},"CORS та механізми безпеки HTTP","\u002Fweb-development\u002Fhttp-and-https\u002Fcors-and-security","18.web-development\u002F02.http-and-https\u002F07.cors-and-security",{"title":4145,"path":4146,"stem":4147},"HTTPS та криптографічні основи TLS","\u002Fweb-development\u002Fhttp-and-https\u002Fhttps-and-tls","18.web-development\u002F02.http-and-https\u002F08.https-and-tls",{"title":4149,"icon":2498,"path":4150,"stem":4151,"children":4152,"page":59},"Система типів мови TypeScript","\u002Fweb-development\u002Ftypescript-type-system","18.web-development\u002F03.typescript-type-system",[4153,4157,4161,4165,4169,4173],{"title":4154,"path":4155,"stem":4156},"Знайомство з TypeScript Compiler","\u002Fweb-development\u002Ftypescript-type-system\u002Fintroduction-compiler-config","18.web-development\u002F03.typescript-type-system\u002F01.introduction-compiler-config",{"title":4158,"path":4159,"stem":4160},"Примітивні типи даних: string, number, boolean","\u002Fweb-development\u002Ftypescript-type-system\u002Fprimitive-special-types","18.web-development\u002F03.typescript-type-system\u002F02.primitive-special-types",{"title":4162,"path":4163,"stem":4164},"Масиви, кортежі та об","\u002Fweb-development\u002Ftypescript-type-system\u002Farrays-tuples-objects","18.web-development\u002F03.typescript-type-system\u002F03.arrays-tuples-objects",{"title":4166,"path":4167,"stem":4168},"Псевдоніми типів, Union типи, Intersection типи та літеральні типи","\u002Fweb-development\u002Ftypescript-type-system\u002Funion-intersection-literals","18.web-development\u002F03.typescript-type-system\u002F04.union-intersection-literals",{"title":4170,"path":4171,"stem":4172},"Type Narrowing (звуження типів)","\u002Fweb-development\u002Ftypescript-type-system\u002Ftype-narrowing","18.web-development\u002F03.typescript-type-system\u002F05.type-narrowing",{"title":4174,"path":4175,"stem":4176},"Типізація функцій","\u002Fweb-development\u002Ftypescript-type-system\u002Ffunctions-typing","18.web-development\u002F03.typescript-type-system\u002F06.functions-typing",{"title":4178,"icon":2498,"path":4179,"stem":4180,"children":4181,"page":59},"Розширені засоби мови TypeScript","\u002Fweb-development\u002Ftypescript-advanced","18.web-development\u002F04.typescript-advanced",[4182,4186,4190,4194,4198,4202],{"title":4183,"path":4184,"stem":4185},"Interfaces та Classes","\u002Fweb-development\u002Ftypescript-advanced\u002Finterfaces-classes","18.web-development\u002F04.typescript-advanced\u002F01.interfaces-classes",{"title":4187,"path":4188,"stem":4189},"Основи Generic типів","\u002Fweb-development\u002Ftypescript-advanced\u002Fgenerics-fundamentals","18.web-development\u002F04.typescript-advanced\u002F02.generics-fundamentals",{"title":4191,"path":4192,"stem":4193},"Enums та Decorators","\u002Fweb-development\u002Ftypescript-advanced\u002Fenums-decorators","18.web-development\u002F04.typescript-advanced\u002F03.enums-decorators",{"title":4195,"path":4196,"stem":4197},"Utility Types","\u002Fweb-development\u002Ftypescript-advanced\u002Futility-types","18.web-development\u002F04.typescript-advanced\u002F04.utility-types",{"title":4199,"path":4200,"stem":4201},"Mapped та Conditional Types","\u002Fweb-development\u002Ftypescript-advanced\u002Fmapped-conditional-types","18.web-development\u002F04.typescript-advanced\u002F05.mapped-conditional-types",{"title":4203,"path":4204,"stem":4205},"Модулі та Strict Mode","\u002Fweb-development\u002Ftypescript-advanced\u002Fmodules-strict-mode","18.web-development\u002F04.typescript-advanced\u002F06.modules-strict-mode",{"title":4207,"icon":4208,"path":4209,"stem":4210,"children":4211,"page":59},"Платформа Node.js як середовище виконання","i-devicon-nodejs","\u002Fweb-development\u002Fnodejs-platform","18.web-development\u002F05.nodejs-platform",[4212,4216,4220,4224,4228,4232,4236,4240,4244,4248,4252,4255,4259],{"title":4213,"path":4214,"stem":4215},"Що таке Node.js та його архітектура","\u002Fweb-development\u002Fnodejs-platform\u002Fwhat-is-nodejs","18.web-development\u002F05.nodejs-platform\u002F01.what-is-nodejs",{"title":4217,"path":4218,"stem":4219},"Event Loop — серце Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fevent-loop","18.web-development\u002F05.nodejs-platform\u002F02.event-loop",{"title":4221,"path":4222,"stem":4223},"Модульні системи: CommonJS vs ES Modules","\u002Fweb-development\u002Fnodejs-platform\u002Fmodule-systems","18.web-development\u002F05.nodejs-platform\u002F03.module-systems",{"title":4225,"path":4226,"stem":4227},"npm та package.json","\u002Fweb-development\u002Fnodejs-platform\u002Fnpm-package-json","18.web-development\u002F05.nodejs-platform\u002F04.npm-package-json",{"title":4229,"path":4230,"stem":4231},"Глобальні об\\","\u002Fweb-development\u002Fnodejs-platform\u002Fglobal-objects","18.web-development\u002F05.nodejs-platform\u002F05.global-objects",{"title":4233,"path":4234,"stem":4235},"Вбудований модуль fs (File System)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-fs","18.web-development\u002F05.nodejs-platform\u002F06.built-in-modules-fs",{"title":4237,"path":4238,"stem":4239},"Вбудований модуль path","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-path","18.web-development\u002F05.nodejs-platform\u002F07.built-in-modules-path",{"title":4241,"path":4242,"stem":4243},"Вбудований модуль http","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-http","18.web-development\u002F05.nodejs-platform\u002F08.built-in-modules-http",{"title":4245,"path":4246,"stem":4247},"Streams — потоки даних у Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fstreams","18.web-development\u002F05.nodejs-platform\u002F09.streams",{"title":4249,"path":4250,"stem":4251},"Вбудований модуль util (Utilities)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-util","18.web-development\u002F05.nodejs-platform\u002F10.built-in-modules-util",{"title":3141,"path":4253,"stem":4254},"\u002Fweb-development\u002Fnodejs-platform\u002Fenvironment-variables","18.web-development\u002F05.nodejs-platform\u002F11.environment-variables",{"title":4256,"path":4257,"stem":4258},"Інструменти налагодження та розробки","\u002Fweb-development\u002Fnodejs-platform\u002Fdebugging-tools","18.web-development\u002F05.nodejs-platform\u002F12.debugging-tools",{"title":4260,"path":4261,"stem":4262},"Продуктивність та Best Practices","\u002Fweb-development\u002Fnodejs-platform\u002Fperformance-best-practices","18.web-development\u002F05.nodejs-platform\u002F13.performance-best-practices",{"title":4264,"icon":4265,"path":4266,"stem":4267,"children":4268,"page":59},"Асинхронне програмування у Node.js","i-lucide-clock","\u002Fweb-development\u002Fasync-programming-nodejs","18.web-development\u002F06.async-programming-nodejs",[4269,4273,4277,4281,4285,4289,4293,4297,4301,4305,4309],{"title":4270,"path":4271,"stem":4272},"Синхронний vs асинхронний код","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fsync-vs-async","18.web-development\u002F06.async-programming-nodejs\u002F01.sync-vs-async",{"title":4274,"path":4275,"stem":4276},"Callbacks — перша парадигма асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fcallbacks","18.web-development\u002F06.async-programming-nodejs\u002F02.callbacks",{"title":4278,"path":4279,"stem":4280},"Promises — стандарт асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromises","18.web-development\u002F06.async-programming-nodejs\u002F03.promises",{"title":4282,"path":4283,"stem":4284},"Promise комбінатори","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromise-combinators","18.web-development\u002F06.async-programming-nodejs\u002F04.promise-combinators",{"title":4286,"path":4287,"stem":4288},"Async\u002FAwait — синтаксичний цукор над Promises","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fasync-await","18.web-development\u002F06.async-programming-nodejs\u002F05.async-await",{"title":4290,"path":4291,"stem":4292},"Паралельне vs послідовне виконання","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fparallel-vs-sequential","18.web-development\u002F06.async-programming-nodejs\u002F06.parallel-vs-sequential",{"title":4294,"path":4295,"stem":4296},"EventEmitter — подієва модель Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fevent-emitter","18.web-development\u002F06.async-programming-nodejs\u002F07.event-emitter",{"title":4298,"path":4299,"stem":4300},"Worker Threads — багатопотоковість у Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fworker-threads","18.web-development\u002F06.async-programming-nodejs\u002F08.worker-threads",{"title":4302,"path":4303,"stem":4304},"Child Processes — запуск зовнішніх процесів","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fchild-processes","18.web-development\u002F06.async-programming-nodejs\u002F09.child-processes",{"title":4306,"path":4307,"stem":4308},"Обробка помилок у асинхронному коді","\u002Fweb-development\u002Fasync-programming-nodejs\u002Ferror-handling","18.web-development\u002F06.async-programming-nodejs\u002F10.error-handling",{"title":4310,"path":4311,"stem":4312},"Порівняння Node.js фреймворків","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fnodejs-frameworks","18.web-development\u002F06.async-programming-nodejs\u002F11.nodejs-frameworks",{"title":4314,"icon":4315,"path":4316,"stem":4317,"children":4318,"page":59},"Тема 7. Фреймворк NestJS. Контролери та маршрутизація","i-lucide-route","\u002Fweb-development\u002Fnestjs-controllers-routing","18.web-development\u002F07.nestjs-controllers-routing",[4319,4323,4327,4331,4335,4339,4343,4347,4351,4355,4359,4363,4367,4371,4375,4379,4383,4387,4391,4395,4399,4403],{"title":4320,"path":4321,"stem":4322},"Філософія та архітектура NestJS","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-philosophy","18.web-development\u002F07.nestjs-controllers-routing\u002F01.nestjs-philosophy",{"title":4324,"path":4325,"stem":4326},"Три стовпи архітектури: модулі, контролери, провайдери","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fthree-pillars","18.web-development\u002F07.nestjs-controllers-routing\u002F02.three-pillars",{"title":4328,"path":4329,"stem":4330},"Інверсія керування (IoC) та ін","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fioc-and-di","18.web-development\u002F07.nestjs-controllers-routing\u002F03.ioc-and-di",{"title":4332,"path":4333,"stem":4334},"Встановлення NestJS CLI та створення проєкту","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-setup","18.web-development\u002F07.nestjs-controllers-routing\u002F04.nestjs-cli-setup",{"title":4336,"path":4337,"stem":4338},"Структура проєкту NestJS та конвенції","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fproject-structure","18.web-development\u002F07.nestjs-controllers-routing\u002F05.project-structure",{"title":4340,"path":4341,"stem":4342},"Контролери: основи маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontrollers-basics","18.web-development\u002F07.nestjs-controllers-routing\u002F06.controllers-basics",{"title":4344,"path":4345,"stem":4346},"Декоратори маршрутизації HTTP-методів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F07.route-decorators",{"title":4348,"path":4349,"stem":4350},"Параметри маршруту та декоратор @Param","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F08.route-parameters",{"title":4352,"path":4353,"stem":4354},"Query-параметри та декоратор @Query","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fquery-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F09.query-parameters",{"title":4356,"path":4357,"stem":4358},"Тіло запиту та декоратор @Body","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-body","18.web-development\u002F07.nestjs-controllers-routing\u002F10.request-body",{"title":4360,"path":4361,"stem":4362},"Робота з заголовками запиту та відповіді","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fheaders-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F11.headers-decorators",{"title":4364,"path":4365,"stem":4366},"Data Transfer Objects (DTO): визначення та призначення","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fdto-introduction","18.web-development\u002F07.nestjs-controllers-routing\u002F12.dto-introduction",{"title":4368,"path":4369,"stem":4370},"Об'єкти Request та Response","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-response-objects","18.web-development\u002F07.nestjs-controllers-routing\u002F13.request-response-objects",{"title":4372,"path":4373,"stem":4374},"HTTP-статус коди та декоратор @HttpCode","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fhttp-status-codes","18.web-development\u002F07.nestjs-controllers-routing\u002F14.http-status-codes",{"title":4376,"path":4377,"stem":4378},"Перенаправлення (Redirects) та декоратор @Redirect","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fredirects","18.web-development\u002F07.nestjs-controllers-routing\u002F15.redirects",{"title":4380,"path":4381,"stem":4382},"Асинхронні обробники та Observables","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fasync-handlers","18.web-development\u002F07.nestjs-controllers-routing\u002F16.async-handlers",{"title":4384,"path":4385,"stem":4386},"Маршрутизація за піддоменами та версіонування API","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fsub-domain-routing","18.web-development\u002F07.nestjs-controllers-routing\u002F17.sub-domain-routing",{"title":4388,"path":4389,"stem":4390},"Області видимості контролерів (Scopes)","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontroller-scopes","18.web-development\u002F07.nestjs-controllers-routing\u002F18.controller-scopes",{"title":4392,"path":4393,"stem":4394},"Основні команди NestJS CLI","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-commands","18.web-development\u002F07.nestjs-controllers-routing\u002F19.nestjs-cli-commands",{"title":4396,"path":4397,"stem":4398},"Практичний приклад: створення CRUD-контролера","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcrud-example","18.web-development\u002F07.nestjs-controllers-routing\u002F20.crud-example",{"title":4400,"path":4401,"stem":4402},"Тестування контролерів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Ftesting-controllers","18.web-development\u002F07.nestjs-controllers-routing\u002F21.testing-controllers",{"title":4404,"path":4405,"stem":4406},"Best Practices для контролерів та маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fbest-practices","18.web-development\u002F07.nestjs-controllers-routing\u002F22.best-practices",{"title":4408,"icon":4409,"path":4410,"stem":4411,"children":4412,"page":59},"Тема 8. Провайдери, сервіси та модульна система NestJS","i-lucide-package","\u002Fweb-development\u002Fnestjs-providers-modules","18.web-development\u002F08.nestjs-providers-modules",[4413,4417,4421,4425,4429,4433,4437,4441,4445,4449,4453,4457,4461,4465,4469],{"title":4414,"path":4415,"stem":4416},"Концепція провайдерів у NestJS","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fproviders-concept","18.web-development\u002F08.nestjs-providers-modules\u002F01.providers-concept",{"title":4418,"path":4419,"stem":4420},"Сервіси: інкапсуляція бізнес-логіки","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fservices-business-logic","18.web-development\u002F08.nestjs-providers-modules\u002F02.services-business-logic",{"title":4422,"path":4423,"stem":4424},"Практика ін","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdependency-injection-practice","18.web-development\u002F08.nestjs-providers-modules\u002F03.dependency-injection-practice",{"title":4426,"path":4427,"stem":4428},"Custom Providers: useValue, useClass, useFactory, useExisting","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcustom-providers","18.web-development\u002F08.nestjs-providers-modules\u002F04.custom-providers",{"title":4430,"path":4431,"stem":4432},"Injection Tokens: рядкові та символьні токени","\u002Fweb-development\u002Fnestjs-providers-modules\u002Finjection-tokens","18.web-development\u002F08.nestjs-providers-modules\u002F05.injection-tokens",{"title":4434,"path":4435,"stem":4436},"Опціональні провайдери та декоратор @Optional","\u002Fweb-development\u002Fnestjs-providers-modules\u002Foptional-providers","18.web-development\u002F08.nestjs-providers-modules\u002F07.optional-providers",{"title":4438,"path":4439,"stem":4440},"Структура модулів: imports, controllers, providers, exports","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodules-structure","18.web-development\u002F08.nestjs-providers-modules\u002F08.modules-structure",{"title":4442,"path":4443,"stem":4444},"Feature Modules: ізоляція функціональності","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ffeature-modules","18.web-development\u002F08.nestjs-providers-modules\u002F09.feature-modules",{"title":4446,"path":4447,"stem":4448},"Shared Modules: перевикористання провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fshared-modules","18.web-development\u002F08.nestjs-providers-modules\u002F10.shared-modules",{"title":4450,"path":4451,"stem":4452},"Global Modules та декоратор @Global","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fglobal-modules","18.web-development\u002F08.nestjs-providers-modules\u002F11.global-modules",{"title":4454,"path":4455,"stem":4456},"Dynamic Modules: конфігурація під час виконання","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdynamic-modules","18.web-development\u002F08.nestjs-providers-modules\u002F12.dynamic-modules",{"title":4458,"path":4459,"stem":4460},"Циклічні залежності та forwardRef","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcircular-dependencies","18.web-development\u002F08.nestjs-providers-modules\u002F13.circular-dependencies",{"title":4462,"path":4463,"stem":4464},"Lifecycle Hooks: хуки життєвого циклу","\u002Fweb-development\u002Fnestjs-providers-modules\u002Flifecycle-hooks","18.web-development\u002F08.nestjs-providers-modules\u002F14.lifecycle-hooks",{"title":4466,"path":4467,"stem":4468},"ModuleRef: динамічний доступ до провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodule-reference","18.web-development\u002F08.nestjs-providers-modules\u002F15.module-reference",{"title":4470,"path":4471,"stem":4472},"Тестування сервісів та провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ftesting-services","18.web-development\u002F08.nestjs-providers-modules\u002F16.testing-services",{"title":4474,"icon":4475,"path":4476,"stem":4477,"children":4478,"page":59},"Тема 9. Валідація даних та конвеєр обробки запитів у NestJS","i-lucide-filter","\u002Fweb-development\u002Fnestjs-validation-pipeline","18.web-development\u002F09.nestjs-validation-pipeline",[4479,4483,4487,4491,4495,4499,4503,4507,4511,4515,4519,4523,4527,4531,4535,4539,4543,4547,4551],{"title":4480,"path":4481,"stem":4482},"Request Pipeline: конвеєр обробки запитів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Frequest-pipeline","18.web-development\u002F09.nestjs-validation-pipeline\u002F01.request-pipeline",{"title":4484,"path":4485,"stem":4486},"Pipes: концепція трансформації та валідації","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipes-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F02.pipes-concept",{"title":4488,"path":4489,"stem":4490},"Вбудовані pipes: ParseIntPipe, ParseBoolPipe, ParseUUIDPipe","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fbuilt-in-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F03.built-in-pipes",{"title":4492,"path":4493,"stem":4494},"ValidationPipe: автоматична валідація DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fvalidation-pipe","18.web-development\u002F09.nestjs-validation-pipeline\u002F04.validation-pipe",{"title":4496,"path":4497,"stem":4498},"Декоратори class-validator для DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fclass-validator-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F05.class-validator-decorators",{"title":4500,"path":4501,"stem":4502},"Створення кастомних валідаторів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-validators","18.web-development\u002F09.nestjs-validation-pipeline\u002F06.custom-validators",{"title":4504,"path":4505,"stem":4506},"Створення власних Pipes","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F07.custom-pipes",{"title":4508,"path":4509,"stem":4510},"Основи Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-basics","18.web-development\u002F09.nestjs-validation-pipeline\u002F08.middleware-basics",{"title":4512,"path":4513,"stem":4514},"Практичні приклади Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F09.middleware-examples",{"title":4516,"path":4517,"stem":4518},"Guards: захисні перехоплювачі доступу","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fguards-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F10.guards-concept",{"title":4520,"path":4521,"stem":4522},"Створення кастомних Guards","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-guards","18.web-development\u002F09.nestjs-validation-pipeline\u002F11.custom-guards",{"title":4524,"path":4525,"stem":4526},"Interceptors: перехоплення та трансформація відповідей","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptors-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F12.interceptors-concept",{"title":4528,"path":4529,"stem":4530},"Практичні приклади Interceptors","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptor-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F13.interceptor-examples",{"title":4532,"path":4533,"stem":4534},"Exception Filters: обробка виключень","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F14.exception-filters",{"title":4536,"path":4537,"stem":4538},"Custom Exception Filters: спеціалізовані фільтри","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-exception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F15.custom-exception-filters",{"title":4540,"path":4541,"stem":4542},"Execution Context: контекст виконання","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexecution-context","18.web-development\u002F09.nestjs-validation-pipeline\u002F16.execution-context",{"title":4544,"path":4545,"stem":4546},"Custom Decorators: власні декоратори","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F17.custom-decorators",{"title":4548,"path":4549,"stem":4550},"Global Components: глобальні компоненти","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fglobal-components","18.web-development\u002F09.nestjs-validation-pipeline\u002F18.global-components",{"title":4552,"path":4553,"stem":4554},"Pipeline Best Practices: найкращі практики","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipeline-best-practices","18.web-development\u002F09.nestjs-validation-pipeline\u002F19.pipeline-best-practices",{"title":4556,"icon":2865,"path":4557,"stem":4558,"children":4559,"page":59},"Інтеграція реляційних баз даних засобами TypeORM","\u002Fweb-development\u002Ftypeorm-integration","18.web-development\u002F10.typeorm-integration",[4560,4564,4568,4572,4576,4580,4584],{"title":4561,"path":4562,"stem":4563},"Робота з базами даних у Node.js через нативні драйвери","\u002Fweb-development\u002Ftypeorm-integration\u002F01-nodejs-database-drivers","18.web-development\u002F10.typeorm-integration\u002F01-nodejs-database-drivers",{"title":4565,"path":4566,"stem":4567},"ORM та знайомство з TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F02-orm-and-typeorm-intro","18.web-development\u002F10.typeorm-integration\u002F02-orm-and-typeorm-intro",{"title":4569,"path":4570,"stem":4571},"Налаштування TypeORM у NestJS проєкті","\u002Fweb-development\u002Ftypeorm-integration\u002F03-typeorm-setup-nestjs","18.web-development\u002F10.typeorm-integration\u002F03-typeorm-setup-nestjs",{"title":4573,"path":4574,"stem":4575},"Entity класи та декоратори TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F04-entities-and-decorators","18.web-development\u002F10.typeorm-integration\u002F04-entities-and-decorators",{"title":4577,"path":4578,"stem":4579},"Repository Pattern та CRUD операції","\u002Fweb-development\u002Ftypeorm-integration\u002F05-repository-pattern-crud","18.web-development\u002F10.typeorm-integration\u002F05-repository-pattern-crud",{"title":4581,"path":4582,"stem":4583},"Пагінація та фільтрація даних","\u002Fweb-development\u002Ftypeorm-integration\u002F06-pagination-filtering","18.web-development\u002F10.typeorm-integration\u002F06-pagination-filtering",{"title":4585,"path":4586,"stem":4587},"QueryBuilder для складних запитів","\u002Fweb-development\u002Ftypeorm-integration\u002F07-query-builder","18.web-development\u002F10.typeorm-integration\u002F07-query-builder",{"title":4589,"icon":4590,"path":4591,"stem":4592,"children":4593,"page":59},"Зв'язки між сутностями, міграції та оптимізація запитів","i-lucide-git-branch","\u002Fweb-development\u002Fentity-relations-migrations","18.web-development\u002F11.entity-relations-migrations",[4594,4598,4602,4606,4610],{"title":4595,"path":4596,"stem":4597},"Зв'язки One-to-Many та Many-to-One","\u002Fweb-development\u002Fentity-relations-migrations\u002F01-one-to-many-many-to-one","18.web-development\u002F11.entity-relations-migrations\u002F01-one-to-many-many-to-one",{"title":4599,"path":4600,"stem":4601},"Зв'язки One-to-One та Many-to-Many","\u002Fweb-development\u002Fentity-relations-migrations\u002F02-one-to-one-many-to-many","18.web-development\u002F11.entity-relations-migrations\u002F02-one-to-one-many-to-many",{"title":4603,"path":4604,"stem":4605},"Керування міграціями бази даних","\u002Fweb-development\u002Fentity-relations-migrations\u002F03-migrations-management","18.web-development\u002F11.entity-relations-migrations\u002F03-migrations-management",{"title":4607,"path":4608,"stem":4609},"Транзакції у TypeORM","\u002Fweb-development\u002Fentity-relations-migrations\u002F04-transactions","18.web-development\u002F11.entity-relations-migrations\u002F04-transactions",{"title":4611,"path":4612,"stem":4613,"children":4614},"Індекси та оптимізація запитів","\u002Fweb-development\u002Fentity-relations-migrations\u002F05-indexes-optimization","18.web-development\u002F11.entity-relations-migrations\u002F05-indexes-optimization",[4615],{"title":4611,"path":4612,"stem":4613},{"title":4617,"icon":4618,"path":4619,"stem":4620,"children":4621,"page":59},"Механізми автентифікації у вебзастосунках","i-lucide-key","\u002Fweb-development\u002Fauthentication","18.web-development\u002F12.authentication",[4622,4626,4630,4634,4638,4642,4646,4650,4654],{"title":4623,"path":4624,"stem":4625},"Автентифікація vs Авторизація","\u002Fweb-development\u002Fauthentication\u002F01-authentication-vs-authorization","18.web-development\u002F12.authentication\u002F01-authentication-vs-authorization",{"title":4627,"path":4628,"stem":4629},"Стратегії автентифікації","\u002Fweb-development\u002Fauthentication\u002F02-authentication-strategies","18.web-development\u002F12.authentication\u002F02-authentication-strategies",{"title":4631,"path":4632,"stem":4633},"Автентифікація на основі сесій","\u002Fweb-development\u002Fauthentication\u002F03-session-based-authentication","18.web-development\u002F12.authentication\u002F03-session-based-authentication",{"title":4635,"path":4636,"stem":4637},"Структура JSON Web Token (JWT)","\u002Fweb-development\u002Fauthentication\u002F04-jwt-structure","18.web-development\u002F12.authentication\u002F04-jwt-structure",{"title":4639,"path":4640,"stem":4641},"Інтеграція JWT у NestJS","\u002Fweb-development\u002Fauthentication\u002F05-nestjs-jwt-integration","18.web-development\u002F12.authentication\u002F05-nestjs-jwt-integration",{"title":4643,"path":4644,"stem":4645},"Passport.js стратегії у NestJS","\u002Fweb-development\u002Fauthentication\u002F06-passport-strategies","18.web-development\u002F12.authentication\u002F06-passport-strategies",{"title":4647,"path":4648,"stem":4649},"Безпечне зберігання паролів: хешування та криптографічний захист","\u002Fweb-development\u002Fauthentication\u002F07-password-hashing","18.web-development\u002F12.authentication\u002F07-password-hashing",{"title":4651,"path":4652,"stem":4653},"Refresh Token та безпечне оновлення доступу","\u002Fweb-development\u002Fauthentication\u002F08-refresh-tokens","18.web-development\u002F12.authentication\u002F08-refresh-tokens",{"title":4655,"path":4656,"stem":4657},"OAuth 2.0 та OpenID Connect: делегована автентифікація","\u002Fweb-development\u002Fauthentication\u002F09-oauth2-openid","18.web-development\u002F12.authentication\u002F09-oauth2-openid",{"title":4659,"icon":4660,"path":4661,"stem":4662,"children":4663,"page":59},"Авторизація та безпека серверних застосунків","i-lucide-shield","\u002Fweb-development\u002Fauthorization-security","18.web-development\u002F13.authorization-security",[4664,4668,4672,4676,4680,4684,4688,4692,4696,4700],{"title":4665,"path":4666,"stem":4667},"Моделі авторизації","\u002Fweb-development\u002Fauthorization-security\u002F01-authorization-models","18.web-development\u002F13.authorization-security\u002F01-authorization-models",{"title":4669,"path":4670,"stem":4671},"Реалізація RBAC у NestJS","\u002Fweb-development\u002Fauthorization-security\u002F02-rbac-implementation","18.web-development\u002F13.authorization-security\u002F02-rbac-implementation",{"title":4673,"path":4674,"stem":4675},"Permission-Based Access Control","\u002Fweb-development\u002Fauthorization-security\u002F03-permission-based-access","18.web-development\u002F13.authorization-security\u002F03-permission-based-access",{"title":4677,"path":4678,"stem":4679},"ABAC та бібліотека CASL","\u002Fweb-development\u002Fauthorization-security\u002F04-abac-casl","18.web-development\u002F13.authorization-security\u002F04-abac-casl",{"title":4681,"path":4682,"stem":4683},"Кастомні декоратори та метадані","\u002Fweb-development\u002Fauthorization-security\u002F05-custom-decorators-metadata","18.web-development\u002F13.authorization-security\u002F05-custom-decorators-metadata",{"title":4685,"path":4686,"stem":4687},"Конфігурація CORS","\u002Fweb-development\u002Fauthorization-security\u002F06-cors-configuration","18.web-development\u002F13.authorization-security\u002F06-cors-configuration",{"title":4689,"path":4690,"stem":4691},"Захист через HTTP Security Headers (Helmet)","\u002Fweb-development\u002Fauthorization-security\u002F07-helmet-security-headers","18.web-development\u002F13.authorization-security\u002F07-helmet-security-headers",{"title":4693,"path":4694,"stem":4695},"Rate Limiting та Throttling","\u002Fweb-development\u002Fauthorization-security\u002F08-rate-limiting-throttling","18.web-development\u002F13.authorization-security\u002F08-rate-limiting-throttling",{"title":4697,"path":4698,"stem":4699},"Захист від поширених атак","\u002Fweb-development\u002Fauthorization-security\u002F09-common-attacks-protection","18.web-development\u002F13.authorization-security\u002F09-common-attacks-protection",{"title":4701,"path":4702,"stem":4703},"HTTPS у продакшені","\u002Fweb-development\u002Fauthorization-security\u002F10-https-production","18.web-development\u002F13.authorization-security\u002F10-https-production",{"title":4705,"icon":871,"path":4706,"stem":4707,"children":4708,"page":59},"Комунікація у реальному часі, нотифікації та фонові задачі","\u002Fweb-development\u002Frealtime-notifications-jobs","18.web-development\u002F14.realtime-notifications-jobs",[4709,4713,4717,4721,4725,4729,4732,4735,4739,4743],{"title":4710,"path":4711,"stem":4712},"Методи комунікації у реальному часі","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F01-realtime-communication-methods","18.web-development\u002F14.realtime-notifications-jobs\u002F01-realtime-communication-methods",{"title":4714,"path":4715,"stem":4716},"WebSocket Gateway у NestJS","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F02-websocket-gateway","18.web-development\u002F14.realtime-notifications-jobs\u002F02-websocket-gateway",{"title":4718,"path":4719,"stem":4720},"Lifecycle та Rooms у WebSocket","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F03-websocket-lifecycle-rooms","18.web-development\u002F14.realtime-notifications-jobs\u002F03-websocket-lifecycle-rooms",{"title":4722,"path":4723,"stem":4724},"Server-Sent Events (SSE)","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F04-server-sent-events","18.web-development\u002F14.realtime-notifications-jobs\u002F04-server-sent-events",{"title":4726,"path":4727,"stem":4728},"Архітектура системи нотифікацій","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F05-notification-system","18.web-development\u002F14.realtime-notifications-jobs\u002F05-notification-system",{"title":904,"path":4730,"stem":4731},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F06-email-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F06-email-notifications",{"title":900,"path":4733,"stem":4734},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F07-web-push-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F07-web-push-notifications",{"title":4736,"path":4737,"stem":4738},"Фонові задачі та черги","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F08-background-jobs-queues","18.web-development\u002F14.realtime-notifications-jobs\u002F08-background-jobs-queues",{"title":4740,"path":4741,"stem":4742},"Планувальники та Cron jobs","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F09-schedulers-cron","18.web-development\u002F14.realtime-notifications-jobs\u002F09-schedulers-cron",{"title":4744,"path":4745,"stem":4746},"Практичні сценарії застосування","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F10-practical-scenarios","18.web-development\u002F14.realtime-notifications-jobs\u002F10-practical-scenarios",{"title":4748,"icon":4749,"path":4750,"stem":4751,"children":4752,"page":59},"Тестування, документування та розгортання застосунків","i-lucide-rocket","\u002Fweb-development\u002Ftesting-documentation-deployment","18.web-development\u002F15.testing-documentation-deployment",[4753,4757,4761,4765,4769,4773,4777,4781,4785,4789],{"title":4754,"path":4755,"stem":4756},"Піраміда тестування та стратегія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F01-testing-pyramid-strategy","18.web-development\u002F15.testing-documentation-deployment\u002F01-testing-pyramid-strategy",{"title":4758,"path":4759,"stem":4760},"Основи Jest у NestJS","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F02-jest-nestjs-basics","18.web-development\u002F15.testing-documentation-deployment\u002F02-jest-nestjs-basics",{"title":4762,"path":4763,"stem":4764},"Unit-тестування сервісів","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F03-unit-testing-services","18.web-development\u002F15.testing-documentation-deployment\u002F03-unit-testing-services",{"title":4766,"path":4767,"stem":4768},"E2E тестування та покриття коду","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F04-e2e-testing-coverage","18.web-development\u002F15.testing-documentation-deployment\u002F04-e2e-testing-coverage",{"title":4770,"path":4771,"stem":4772},"Swagger, OpenAPI, Scalar та Arazzo","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F05-swagger-openapi","18.web-development\u002F15.testing-documentation-deployment\u002F05-swagger-openapi",{"title":4774,"path":4775,"stem":4776},"Керування конфігурацією","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F06-configuration-management","18.web-development\u002F15.testing-documentation-deployment\u002F06-configuration-management",{"title":4778,"path":4779,"stem":4780},"Docker та контейнеризація","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F07-docker-containerization","18.web-development\u002F15.testing-documentation-deployment\u002F07-docker-containerization",{"title":4782,"path":4783,"stem":4784},"CI\u002FCD Pipelines","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F08-cicd-pipelines","18.web-development\u002F15.testing-documentation-deployment\u002F08-cicd-pipelines",{"title":4786,"path":4787,"stem":4788},"Логування та моніторинг","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F09-logging-monitoring","18.web-development\u002F15.testing-documentation-deployment\u002F09-logging-monitoring",{"title":4790,"path":4791,"stem":4792},"Серіалізація та компресія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F10-serialization-compression","18.web-development\u002F15.testing-documentation-deployment\u002F10-serialization-compression",{"title":4794,"icon":4795,"path":4796,"stem":4797,"children":4798,"page":59},"AI Core: мислення AI","i-lucide-brain","\u002Fai-core","19.ai-core",[4799,4840,4889,4927],{"title":4800,"icon":4749,"path":4801,"stem":4802,"children":4803,"page":59},"Вхід у професію AI Native Developer","\u002Fai-core\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer",[4804,4808,4812,4816,4820,4824,4828,4832,4836],{"title":4805,"path":4806,"stem":4807},"Вступ до професії розробника цифрових продуктів","\u002Fai-core\u002Fai-native-developer\u002Fdigital-products","19.ai-core\u002F01.ai-native-developer\u002F01.digital-products",{"title":4809,"path":4810,"stem":4811},"Професія розробника програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fsoftware-developer","19.ai-core\u002F01.ai-native-developer\u002F02.software-developer",{"title":4813,"path":4814,"stem":4815},"Професія AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer\u002F03.ai-native-developer",{"title":4817,"path":4818,"stem":4819},"Вплив AI на розробку програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fai-impact-on-development","19.ai-core\u002F01.ai-native-developer\u002F04.ai-impact-on-development",{"title":4821,"path":4822,"stem":4823},"Життєвий цикл цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fproduct-lifecycle","19.ai-core\u002F01.ai-native-developer\u002F05.product-lifecycle",{"title":4825,"path":4826,"stem":4827},"Застосування AI на етапах створення цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fai-in-product-creation","19.ai-core\u002F01.ai-native-developer\u002F06.ai-in-product-creation",{"title":4829,"path":4830,"stem":4831},"Розподіл завдань між людиною та AI","\u002Fai-core\u002Fai-native-developer\u002Fhuman-vs-ai-tasks","19.ai-core\u002F01.ai-native-developer\u002F07.human-vs-ai-tasks",{"title":4833,"path":4834,"stem":4835},"Компетенції AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcompetencies","19.ai-core\u002F01.ai-native-developer\u002F08.competencies",{"title":4837,"path":4838,"stem":4839},"Карта професійного розвитку AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcareer-roadmap","19.ai-core\u002F01.ai-native-developer\u002F09.career-roadmap",{"title":4841,"icon":255,"path":4842,"stem":4843,"children":4844,"page":59},"Штучний інтелект і машинне навчання","\u002Fai-core\u002Fai-and-machine-learning","19.ai-core\u002F02.ai-and-machine-learning",[4845,4849,4853,4857,4861,4865,4869,4873,4877,4881,4885],{"title":4846,"path":4847,"stem":4848},"Штучний інтелект","\u002Fai-core\u002Fai-and-machine-learning\u002Fwhat-is-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F01.what-is-ai",{"title":4850,"path":4851,"stem":4852},"Відмінність AI від інших програмних систем","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-vs-automation","19.ai-core\u002F02.ai-and-machine-learning\u002F02.ai-vs-automation",{"title":4854,"path":4855,"stem":4856},"Завдання штучного інтелекту","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-tasks","19.ai-core\u002F02.ai-and-machine-learning\u002F03.ai-tasks",{"title":4858,"path":4859,"stem":4860},"Machine Learning","\u002Fai-core\u002Fai-and-machine-learning\u002Fmachine-learning","19.ai-core\u002F02.ai-and-machine-learning\u002F04.machine-learning",{"title":4862,"path":4863,"stem":4864},"Machine Learning Workflow","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-workflow","19.ai-core\u002F02.ai-and-machine-learning\u002F05.ml-workflow",{"title":4866,"path":4867,"stem":4868},"Типи машинного навчання","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-types","19.ai-core\u002F02.ai-and-machine-learning\u002F06.ml-types",{"title":4870,"path":4871,"stem":4872},"Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fgenerative-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F07.generative-ai",{"title":4874,"path":4875,"stem":4876},"Типи контенту, створюваного AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-content-types","19.ai-core\u002F02.ai-and-machine-learning\u002F08.ai-content-types",{"title":4878,"path":4879,"stem":4880},"Великі мовні моделі","\u002Fai-core\u002Fai-and-machine-learning\u002Flarge-language-models","19.ai-core\u002F02.ai-and-machine-learning\u002F09.large-language-models",{"title":4882,"path":4883,"stem":4884},"Можливості та обмеження Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fcapabilities-and-limitations","19.ai-core\u002F02.ai-and-machine-learning\u002F10.capabilities-and-limitations",{"title":4886,"path":4887,"stem":4888},"Сучасні AI-асистенти","\u002Fai-core\u002Fai-and-machine-learning\u002Fmodern-ai-assistants","19.ai-core\u002F02.ai-and-machine-learning\u002F11.modern-ai-assistants",{"title":4890,"icon":4891,"path":4892,"stem":4893,"children":4894,"page":59},"Постановка завдань для AI: принципи створення промптів","i-lucide-message-square-text","\u002Fai-core\u002Fprompt-engineering","19.ai-core\u002F03.prompt-engineering",[4895,4899,4903,4907,4911,4915,4919,4923],{"title":4896,"path":4897,"stem":4898},"Промпт як інструмент","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-as-tool","19.ai-core\u002F03.prompt-engineering\u002F01.prompt-as-tool",{"title":4900,"path":4901,"stem":4902},"Принципи створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-principles","19.ai-core\u002F03.prompt-engineering\u002F02.prompt-principles",{"title":4904,"path":4905,"stem":4906},"Структура промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-structure","19.ai-core\u002F03.prompt-engineering\u002F03.prompt-structure",{"title":4908,"path":4909,"stem":4910},"Види промптів за типом задачі","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-types","19.ai-core\u002F03.prompt-engineering\u002F04.prompt-types",{"title":4912,"path":4913,"stem":4914},"Прийоми посилення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-enhancement","19.ai-core\u002F03.prompt-engineering\u002F05.prompt-enhancement",{"title":4916,"path":4917,"stem":4918},"Розбір і покращення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-analysis","19.ai-core\u002F03.prompt-engineering\u002F06.prompt-analysis",{"title":4920,"path":4921,"stem":4922},"Типові помилки під час створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fcommon-mistakes","19.ai-core\u002F03.prompt-engineering\u002F07.common-mistakes",{"title":4924,"path":4925,"stem":4926},"Практикум: особиста бібліотека промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-library","19.ai-core\u002F03.prompt-engineering\u002F08.prompt-library",{"title":4928,"icon":793,"path":4929,"stem":4930,"children":4931,"page":59},"Перевірка результатів, безпека та AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow","19.ai-core\u002F04.verification-security-workflow",[4932,4936,4940,4944,4948,4952,4956,4960,4964],{"title":4933,"path":4934,"stem":4935},"Межі можливостей AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-limitations","19.ai-core\u002F04.verification-security-workflow\u002F01.ai-limitations",{"title":4937,"path":4938,"stem":4939},"Галюцинації AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-hallucinations","19.ai-core\u002F04.verification-security-workflow\u002F02.ai-hallucinations",{"title":4941,"path":4942,"stem":4943},"Критичне мислення під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fcritical-thinking","19.ai-core\u002F04.verification-security-workflow\u002F03.critical-thinking",{"title":4945,"path":4946,"stem":4947},"Перевірка результатів роботи AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresult-verification","19.ai-core\u002F04.verification-security-workflow\u002F04.result-verification",{"title":4949,"path":4950,"stem":4951},"Захист даних під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fdata-protection","19.ai-core\u002F04.verification-security-workflow\u002F05.data-protection",{"title":4953,"path":4954,"stem":4955},"Авторське право та навчальна доброчесність","\u002Fai-core\u002Fverification-security-workflow\u002Fcopyright-integrity","19.ai-core\u002F04.verification-security-workflow\u002F06.copyright-integrity",{"title":4957,"path":4958,"stem":4959},"Відповідальне використання AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresponsible-use","19.ai-core\u002F04.verification-security-workflow\u002F07.responsible-use",{"title":4961,"path":4962,"stem":4963},"AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow\u002Fai-native-workflow","19.ai-core\u002F04.verification-security-workflow\u002F08.ai-native-workflow",{"title":4965,"path":4966,"stem":4967},"Застосування AI Native Workflow під час створення цифрового продукту","\u002Fai-core\u002Fverification-security-workflow\u002Fworkflow-in-practice","19.ai-core\u002F04.verification-security-workflow\u002F09.workflow-in-practice",{"title":4969,"icon":4970,"path":4971,"stem":4972,"children":4973,"page":59},"AI Developer: Vibe Coding Sprint","i-lucide-code-xml","\u002Fai-developer","20.ai-developer",[4974,5000,5022,5043],{"title":4975,"icon":4976,"path":4977,"stem":4978,"children":4979,"page":59},"Проєктування і чорнова версія","i-lucide-pencil-ruler","\u002Fai-developer\u002Fdraft-creation","20.ai-developer\u002F01.draft-creation",[4980,4984,4988,4992,4996],{"title":4981,"path":4982,"stem":4983},"Парадигма Vibe Coding Workflow","\u002Fai-developer\u002Fdraft-creation\u002Fvibe-coding-workflow","20.ai-developer\u002F01.draft-creation\u002F01.vibe-coding-workflow",{"title":4985,"path":4986,"stem":4987},"AI-середовище швидкої розробки","\u002Fai-developer\u002Fdraft-creation\u002Fai-ide-environment","20.ai-developer\u002F01.draft-creation\u002F02.ai-ide-environment",{"title":4989,"path":4990,"stem":4991},"Користувацьке завдання та межі першої версії","\u002Fai-developer\u002Fdraft-creation\u002Fproduct-scope-and-mvp","20.ai-developer\u002F01.draft-creation\u002F03.product-scope-and-mvp",{"title":4993,"path":4994,"stem":4995},"Архітектура інтерфейсу та стани застосунку","\u002Fai-developer\u002Fdraft-creation\u002Fapplication-architecture-and-states","20.ai-developer\u002F01.draft-creation\u002F04.application-architecture-and-states",{"title":4997,"path":4998,"stem":4999},"Генерація та фіксація чорнової версії","\u002Fai-developer\u002Fdraft-creation\u002Fgenerating-draft-version","20.ai-developer\u002F01.draft-creation\u002F05.generating-draft-version",{"title":5001,"icon":5002,"path":5003,"stem":5004,"children":5005,"page":59},"Перша робоча версія","i-lucide-play-circle","\u002Fai-developer\u002Ffirst-working-version","20.ai-developer\u002F02.first-working-version",[5006,5010,5014,5018],{"title":5007,"path":5008,"stem":5009},"Уточнення контексту проєкту для AI","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-project-context","20.ai-developer\u002F02.first-working-version\u002F01.refining-project-context",{"title":5011,"path":5012,"stem":5013},"Стратегія завдань для AI-розробки","\u002Fai-developer\u002Ffirst-working-version\u002Fai-prompting-strategy","20.ai-developer\u002F02.first-working-version\u002F02.ai-prompting-strategy",{"title":5015,"path":5016,"stem":5017},"Доопрацювання до першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-to-working-version","20.ai-developer\u002F02.first-working-version\u002F03.refining-to-working-version",{"title":5019,"path":5020,"stem":5021},"Перевірка першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Ftesting-first-working-version","20.ai-developer\u002F02.first-working-version\u002F04.testing-first-working-version",{"title":5023,"icon":3072,"path":5024,"stem":5025,"children":5026,"page":59},"Ітерації, дебагінг та відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery","20.ai-developer\u002F03.iteration-debugging-recovery",[5027,5031,5035,5039],{"title":5028,"path":5029,"stem":5030},"Управління точковими змінами продукту","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fchange-management","20.ai-developer\u002F03.iteration-debugging-recovery\u002F01.change-management",{"title":5032,"path":5033,"stem":5034},"Надійність інтерфейсу та обробка помилок","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fscenario-reliability-and-errors","20.ai-developer\u002F03.iteration-debugging-recovery\u002F02.scenario-reliability-and-errors",{"title":5036,"path":5037,"stem":5038},"Керування контекстом і збереження версій","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fproject-context-and-versions","20.ai-developer\u002F03.iteration-debugging-recovery\u002F03.project-context-and-versions",{"title":5040,"path":5041,"stem":5042},"Збої AI-розробки, ліміти та аварійне відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fai-breakdowns-and-recovery","20.ai-developer\u002F03.iteration-debugging-recovery\u002F04.ai-breakdowns-and-recovery",{"title":5044,"icon":5045,"path":5046,"stem":5047,"children":5048,"page":59},"Перевірка та завершення продукту","i-lucide-check-check","\u002Fai-developer\u002Fverification-and-completion","20.ai-developer\u002F04.verification-and-completion",[5049,5053,5057],{"title":5050,"path":5051,"stem":5052},"Комплексний аудит та підсумкове тестування","\u002Fai-developer\u002Fverification-and-completion\u002Ffinal-product-testing","20.ai-developer\u002F04.verification-and-completion\u002F01.final-product-testing",{"title":5054,"path":5055,"stem":5056},"Підготовка підсумкової версії коду","\u002Fai-developer\u002Fverification-and-completion\u002Fpreparing-release-version","20.ai-developer\u002F04.verification-and-completion\u002F02.preparing-release-version",{"title":5058,"path":5059,"stem":5060},"Демонстрація, публікація та критерії оцінювання","\u002Fai-developer\u002Fverification-and-completion\u002Fproduct-showcase-and-publishing","20.ai-developer\u002F04.verification-and-completion\u002F03.product-showcase-and-publishing",{"title":5062,"path":5063,"stem":5064,"children":5065,"page":59},"Tailwind","\u002Ftailwind","21.tailwind",[5066,5070,5074,5078,5082,5086,5090,5094,5098,5102,5106,5110],{"title":5067,"path":5068,"stem":5069},"Що таке Tailwind CSS і навіщо він потрібен","\u002Ftailwind\u002Ftailwind-intro-philosophy","21.tailwind\u002F01.tailwind-intro-philosophy",{"title":5071,"path":5072,"stem":5073},"Встановлення та налаштування Tailwind CSS v4","\u002Ftailwind\u002Ftailwind-installation-setup","21.tailwind\u002F02.tailwind-installation-setup",{"title":5075,"path":5076,"stem":5077},"Utility-класи: основи та система Tailwind","\u002Ftailwind\u002Ftailwind-utility-classes-core","21.tailwind\u002F03.tailwind-utility-classes-core",{"title":5079,"path":5080,"stem":5081},"Layout: Flexbox та Grid через Tailwind","\u002Ftailwind\u002Ftailwind-flexbox-grid","21.tailwind\u002F04.tailwind-flexbox-grid",{"title":5083,"path":5084,"stem":5085},"Кастомізація теми через @theme у Tailwind v4","\u002Ftailwind\u002Ftailwind-theme-customization","21.tailwind\u002F05.tailwind-theme-customization",{"title":5087,"path":5088,"stem":5089},"Варіанти: hover, focus, responsive, dark mode та нові v4","\u002Ftailwind\u002Ftailwind-variants-states","21.tailwind\u002F06.tailwind-variants-states",{"title":5091,"path":5092,"stem":5093},"Типографіка та система кольорів у Tailwind v4","\u002Ftailwind\u002Ftailwind-typography-colors","21.tailwind\u002F07.tailwind-typography-colors",{"title":5095,"path":5096,"stem":5097},"Компоненти та повторюваність: @apply, @utility та патерни","\u002Ftailwind\u002Ftailwind-components-patterns","21.tailwind\u002F08.tailwind-components-patterns",{"title":5099,"path":5100,"stem":5101},"Темна тема та система дизайн-токенів у Tailwind v4","\u002Ftailwind\u002Ftailwind-dark-mode-theming","21.tailwind\u002F09.tailwind-dark-mode-theming",{"title":5103,"path":5104,"stem":5105},"Довільні значення та контейнерні запити у Tailwind v4","\u002Ftailwind\u002Ftailwind-arbitrary-container-queries","21.tailwind\u002F10.tailwind-arbitrary-container-queries",{"title":5107,"path":5108,"stem":5109},"Анімації, трансформації та 3D у Tailwind v4","\u002Ftailwind\u002Ftailwind-animations-transforms","21.tailwind\u002F11.tailwind-animations-transforms",{"title":5111,"path":5112,"stem":5113},"Tailwind CLI, PostCSS та інтеграція з фреймворками","\u002Ftailwind\u002Ftailwind-cli-tooling","21.tailwind\u002F12.tailwind-cli-tooling",{"title":5115,"path":5116,"stem":5117,"children":5118,"page":59},"React Typescript","\u002Freact-typescript","22.react-typescript",[5119,5144,5148,5152,5156,5160,5164,5168,5172],{"title":5120,"path":5121,"stem":5122,"children":5123,"page":59},"From Html To Project","\u002Freact-typescript\u002Ffrom-html-to-project","22.react-typescript\u002F01.from-html-to-project",[5124,5128,5132,5136,5140],{"title":5125,"path":5126,"stem":5127},"Від одного HTML-файлу до повноцінного проєкту","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fevolution","22.react-typescript\u002F01.from-html-to-project\u002F01.evolution",{"title":5129,"path":5130,"stem":5131},"Що таке React","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fwhat-is-react","22.react-typescript\u002F01.from-html-to-project\u002F02.what-is-react",{"title":5133,"path":5134,"stem":5135},"JSX та TSX — синтаксичний цукор, а не магія","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-tsx-syntax","22.react-typescript\u002F01.from-html-to-project\u002F03.jsx-tsx-syntax",{"title":5137,"path":5138,"stem":5139},"Компоненти — будівельні блоки інтерфейсу","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fcomponents","22.react-typescript\u002F01.from-html-to-project\u002F04.components",{"title":5141,"path":5142,"stem":5143},"JSX — розмітка всередині TypeScript","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-expressions","22.react-typescript\u002F01.from-html-to-project\u002F05.jsx-expressions",{"title":5145,"path":5146,"stem":5147},"Хук useReducer: структуроване управління складним станом","\u002Freact-typescript\u002Fuse-reducer","22.react-typescript\u002F23.use-reducer",{"title":5149,"path":5150,"stem":5151},"Context API: передавання даних без «пропс-дрілінгу»","\u002Freact-typescript\u002Fcontext-api","22.react-typescript\u002F24.context-api",{"title":5153,"path":5154,"stem":5155},"Синхронізація з ефектами: хук useEffect та функції очищення","\u002Freact-typescript\u002Fuse-effect","22.react-typescript\u002F27.use-effect",{"title":5157,"path":5158,"stem":5159},"Можливо, вам не потрібен ефект: антипатерни та альтернативи","\u002Freact-typescript\u002Fyou-might-not-need-effect","22.react-typescript\u002F28.you-might-not-need-effect",{"title":5161,"path":5162,"stem":5163},"Життєвий цикл реактивних ефектів: мислення процесами синхронізації","\u002Freact-typescript\u002Flifecycle-of-reactive-effects","22.react-typescript\u002F29.lifecycle-of-reactive-effects",{"title":5165,"path":5166,"stem":5167},"Розділення подій та ефектів: реактивна проти нереактивної логіки","\u002Freact-typescript\u002Fseparating-events-from-effects","22.react-typescript\u002F30.separating-events-from-effects",{"title":5169,"path":5170,"stem":5171},"Видалення зайвих залежностей ефектів та оптимізація синхронізації","\u002Freact-typescript\u002Fremoving-effect-dependencies","22.react-typescript\u002F31.removing-effect-dependencies",{"title":5173,"path":5174,"stem":5175},"Кастомні хуки: повторне використання та композиція реактивної логіки","\u002Freact-typescript\u002Fcustom-hooks","22.react-typescript\u002F32.custom-hooks",{"title":5177,"path":5178,"stem":5179},"Тестування компонентів діаграм та пісочниць","\u002Ftest-components","98.test-components",{"id":5181,"title":3765,"body":5182,"description":18144,"extension":18145,"links":18146,"meta":18147,"navigation":5338,"path":3766,"seo":18148,"stem":3767,"__hash__":18149},"docs\u002F16.ai-python\u002F05.data-visualization\u002F03.relationships.md",{"type":5183,"value":5184,"toc":18116},"minimark",[5185,5189,5246,5249,5254,5267,5270,5932,5982,5984,5988,5995,5998,6006,6013,6437,6478,6480,6484,6488,6493,6499,6503,6775,6917,6923,6937,7103,7380,8610,8612,8616,8623,9622,9685,9687,9691,9702,10382,10423,10425,10429,10436,10828,11021,11029,11040,11140,11266,11853,11855,11859,11873,12334,12338,12798,12921,12929,12952,13096,13255,14391,14393,14397,14407,14418,14601,14748,15504,15506,15510,15517,15950,16056,16062,16074,16241,16400,17775,17777,17781,17942,17944,17948,18032,18094,18096,18112],[5186,5187,3765],"h1",{"id":5188},"візуалізація-залежностей-scatter-plots-та-кореляція",[5190,5191,5192,5216],"card-group",{},[5193,5194,5197],"card",{"icon":5195,"title":5196},"i-lucide-target","🎯 Мета підтеми",[5198,5199,5200,5204,5207,5210,5213],"ul",{},[5201,5202,5203],"li",{},"Навчитися будувати scatter plots для двох змінних",[5201,5205,5206],{},"Візуально виявляти позитивну, негативну та нульову кореляцію",[5201,5208,5209],{},"Розрізняти лінійні та нелінійні залежності",[5201,5211,5212],{},"Додавати лінії тренду (regression lines) до графіків",[5201,5214,5215],{},"Будувати scatter matrices для багатовимірних даних",[5193,5217,5219],{"icon":4618,"title":5218},"🔑 Ключові терміни",[5198,5220,5221,5228,5234,5240],{},[5201,5222,5223,5227],{},[5224,5225,5226],"strong",{},"Scatter plot"," — точкова діаграма, що показує взаємозв'язок між двома змінними",[5201,5229,5230,5233],{},[5224,5231,5232],{},"Кореляція"," — міра лінійного зв'язку між змінними (−1 до +1)",[5201,5235,5236,5239],{},[5224,5237,5238],{},"Regression line"," — лінія тренду, що найкраще апроксимує дані",[5201,5241,5242,5245],{},[5224,5243,5244],{},"Scatter matrix"," — матриця точкових діаграм для всіх пар змінних",[5247,5248],"hr",{},[5250,5251,5253],"h2",{"id":5252},"плавний-старт-scatter-plot-за-3-рядки-коду","Плавний старт: Scatter plot за 3 рядки коду",[5255,5256,5257,5258,5262,5263,5266],"p",{},"Коли перед дата-аналітиком чи інженером постає фундаментальне питання: ",[5259,5260,5261],"em",{},"«Чи існує зв'язок між параметром X та показником Y?»",", найперший та найінформативніший інструмент — це ",[5224,5264,5265],{},"точкова діаграма (scatter plot)",".",[5255,5268,5269],{},"Погляньмо, як від трьох мінімальних рядків коду перейти до повноцінного інженерного графіка з лінією тренду:",[5271,5272,5275,5287,5901],"jupyter-notebook",{"title":5273,"kernel":5274},"hello_scatter.ipynb","Python 3 (ipykernel)",[5276,5277,5279,5284],"jupyter-cell",{"type":5278},"markdown",[5280,5281,5283],"h3",{"id":5282},"три-рівні-створення-точкової-діаграми","Три рівні створення точкової діаграми",[5255,5285,5286],{},"Від миттєвої побудови сирих точок до інформативного графіка з оцінкою тренду",[5276,5288,5291,5891],{"execution-count":5289,"execution-time":5290},"1","0.21s",[5292,5293,5298],"pre",{"className":5294,"code":5295,"language":5296,"meta":5297,"style":5297},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import matplotlib.pyplot as plt\nimport numpy as np\n\n# Змодельовані дані навантаження сервера: паралельні з'єднання vs затримка (мс)\nrng = np.random.default_rng(42)\nconnections = rng.uniform(10, 200, 45)\nlatency = 25 + 0.35 * connections + rng.normal(0, 12, 45)\n\n# --- РІВЕНЬ 0: Мінімальний код (3 рядки) ---\nplt.scatter(connections, latency)\nplt.show()\n\n# --- РІВЕНЬ 1: Додавання контексту та одиниць виміру ---\nfig, ax = plt.subplots(figsize=(6, 4))\nax.scatter(connections, latency, color='#2563eb', s=45)\nax.set_xlabel(\"Паралельні з'єднання (conn)\")\nax.set_ylabel(\"Затримка відповіді Latency (ms)\")\nax.set_title(\"Навантаження vs Затримка\")\nplt.show()\n\n# --- РІВЕНЬ 2: Професійний інженерний графік з лінією тренду ---\nfig, ax = plt.subplots(figsize=(7, 4.5))\nax.scatter(connections, latency, s=70, color='#3b82f6', \n           edgecolor='#1e3a8a', linewidth=1, alpha=0.75, label=\"Логи запитів\")\n\n# Розрахунок та візуалізація лінійного тренду (y = ax + b)\nz = np.polyfit(connections, latency, 1)\np = np.poly1d(z)\nx_line = np.linspace(connections.min(), connections.max(), 100)\nax.plot(x_line, p(x_line), color='#ef4444', linestyle='--', linewidth=2,\n        label=f\"Тренд: {z[0]:.2f}x + {z[1]:.1f}\")\n\nax.set_title(\"Діагностика затримки API-шлюзу\", fontsize=12, fontweight='bold')\nax.set_xlabel(\"Паралельні з'єднання (conn)\", fontsize=10)\nax.set_ylabel(\"Затримка відповіді Latency (ms)\", fontsize=10)\nax.grid(True, linestyle=':', alpha=0.6)\nax.legend(frameon=True, facecolor='#f8fafc', edgecolor='#cbd5e1')\nplt.show()\n","python","",[5299,5300,5301,5320,5333,5340,5347,5360,5382,5414,5419,5425,5431,5437,5442,5448,5472,5499,5510,5521,5532,5537,5542,5548,5567,5591,5633,5638,5644,5654,5660,5671,5706,5754,5759,5788,5805,5822,5851,5886],"code",{"__ignoreMap":5297},[5302,5303,5306,5310,5314,5317],"span",{"class":5304,"line":5305},"line",1,[5302,5307,5309],{"class":5308},"s8xlr","import",[5302,5311,5313],{"class":5312},"sHH4Y"," matplotlib.pyplot ",[5302,5315,5316],{"class":5308},"as",[5302,5318,5319],{"class":5312}," plt\n",[5302,5321,5323,5325,5328,5330],{"class":5304,"line":5322},2,[5302,5324,5309],{"class":5308},[5302,5326,5327],{"class":5312}," numpy ",[5302,5329,5316],{"class":5308},[5302,5331,5332],{"class":5312}," np\n",[5302,5334,5336],{"class":5304,"line":5335},3,[5302,5337,5339],{"emptyLinePlaceholder":5338},true,"\n",[5302,5341,5343],{"class":5304,"line":5342},4,[5302,5344,5346],{"class":5345},"spJ8K","# Змодельовані дані навантаження сервера: паралельні з'єднання vs затримка (мс)\n",[5302,5348,5350,5353,5357],{"class":5304,"line":5349},5,[5302,5351,5352],{"class":5312},"rng = np.random.default_rng(",[5302,5354,5356],{"class":5355},"sJj4R","42",[5302,5358,5359],{"class":5312},")\n",[5302,5361,5363,5366,5369,5372,5375,5377,5380],{"class":5304,"line":5362},6,[5302,5364,5365],{"class":5312},"connections = rng.uniform(",[5302,5367,5368],{"class":5355},"10",[5302,5370,5371],{"class":5312},", ",[5302,5373,5374],{"class":5355},"200",[5302,5376,5371],{"class":5312},[5302,5378,5379],{"class":5355},"45",[5302,5381,5359],{"class":5312},[5302,5383,5385,5388,5391,5394,5397,5400,5403,5405,5408,5410,5412],{"class":5304,"line":5384},7,[5302,5386,5387],{"class":5312},"latency = ",[5302,5389,5390],{"class":5355},"25",[5302,5392,5393],{"class":5312}," + ",[5302,5395,5396],{"class":5355},"0.35",[5302,5398,5399],{"class":5312}," * connections + rng.normal(",[5302,5401,5402],{"class":5355},"0",[5302,5404,5371],{"class":5312},[5302,5406,5407],{"class":5355},"12",[5302,5409,5371],{"class":5312},[5302,5411,5379],{"class":5355},[5302,5413,5359],{"class":5312},[5302,5415,5417],{"class":5304,"line":5416},8,[5302,5418,5339],{"emptyLinePlaceholder":5338},[5302,5420,5422],{"class":5304,"line":5421},9,[5302,5423,5424],{"class":5345},"# --- РІВЕНЬ 0: Мінімальний код (3 рядки) ---\n",[5302,5426,5428],{"class":5304,"line":5427},10,[5302,5429,5430],{"class":5312},"plt.scatter(connections, latency)\n",[5302,5432,5434],{"class":5304,"line":5433},11,[5302,5435,5436],{"class":5312},"plt.show()\n",[5302,5438,5440],{"class":5304,"line":5439},12,[5302,5441,5339],{"emptyLinePlaceholder":5338},[5302,5443,5445],{"class":5304,"line":5444},13,[5302,5446,5447],{"class":5345},"# --- РІВЕНЬ 1: Додавання контексту та одиниць виміру ---\n",[5302,5449,5451,5454,5458,5461,5464,5466,5469],{"class":5304,"line":5450},14,[5302,5452,5453],{"class":5312},"fig, ax = plt.subplots(",[5302,5455,5457],{"class":5456},"siwwj","figsize",[5302,5459,5460],{"class":5312},"=(",[5302,5462,5463],{"class":5355},"6",[5302,5465,5371],{"class":5312},[5302,5467,5468],{"class":5355},"4",[5302,5470,5471],{"class":5312},"))\n",[5302,5473,5475,5478,5481,5484,5488,5490,5493,5495,5497],{"class":5304,"line":5474},15,[5302,5476,5477],{"class":5312},"ax.scatter(connections, latency, ",[5302,5479,5480],{"class":5456},"color",[5302,5482,5483],{"class":5312},"=",[5302,5485,5487],{"class":5486},"sbdoH","'#2563eb'",[5302,5489,5371],{"class":5312},[5302,5491,5492],{"class":5456},"s",[5302,5494,5483],{"class":5312},[5302,5496,5379],{"class":5355},[5302,5498,5359],{"class":5312},[5302,5500,5502,5505,5508],{"class":5304,"line":5501},16,[5302,5503,5504],{"class":5312},"ax.set_xlabel(",[5302,5506,5507],{"class":5486},"\"Паралельні з'єднання (conn)\"",[5302,5509,5359],{"class":5312},[5302,5511,5513,5516,5519],{"class":5304,"line":5512},17,[5302,5514,5515],{"class":5312},"ax.set_ylabel(",[5302,5517,5518],{"class":5486},"\"Затримка відповіді Latency (ms)\"",[5302,5520,5359],{"class":5312},[5302,5522,5524,5527,5530],{"class":5304,"line":5523},18,[5302,5525,5526],{"class":5312},"ax.set_title(",[5302,5528,5529],{"class":5486},"\"Навантаження vs Затримка\"",[5302,5531,5359],{"class":5312},[5302,5533,5535],{"class":5304,"line":5534},19,[5302,5536,5436],{"class":5312},[5302,5538,5540],{"class":5304,"line":5539},20,[5302,5541,5339],{"emptyLinePlaceholder":5338},[5302,5543,5545],{"class":5304,"line":5544},21,[5302,5546,5547],{"class":5345},"# --- РІВЕНЬ 2: Професійний інженерний графік з лінією тренду ---\n",[5302,5549,5551,5553,5555,5557,5560,5562,5565],{"class":5304,"line":5550},22,[5302,5552,5453],{"class":5312},[5302,5554,5457],{"class":5456},[5302,5556,5460],{"class":5312},[5302,5558,5559],{"class":5355},"7",[5302,5561,5371],{"class":5312},[5302,5563,5564],{"class":5355},"4.5",[5302,5566,5471],{"class":5312},[5302,5568,5570,5572,5574,5576,5579,5581,5583,5585,5588],{"class":5304,"line":5569},23,[5302,5571,5477],{"class":5312},[5302,5573,5492],{"class":5456},[5302,5575,5483],{"class":5312},[5302,5577,5578],{"class":5355},"70",[5302,5580,5371],{"class":5312},[5302,5582,5480],{"class":5456},[5302,5584,5483],{"class":5312},[5302,5586,5587],{"class":5486},"'#3b82f6'",[5302,5589,5590],{"class":5312},", \n",[5302,5592,5594,5597,5599,5602,5604,5607,5609,5611,5613,5616,5618,5621,5623,5626,5628,5631],{"class":5304,"line":5593},24,[5302,5595,5596],{"class":5456},"           edgecolor",[5302,5598,5483],{"class":5312},[5302,5600,5601],{"class":5486},"'#1e3a8a'",[5302,5603,5371],{"class":5312},[5302,5605,5606],{"class":5456},"linewidth",[5302,5608,5483],{"class":5312},[5302,5610,5289],{"class":5355},[5302,5612,5371],{"class":5312},[5302,5614,5615],{"class":5456},"alpha",[5302,5617,5483],{"class":5312},[5302,5619,5620],{"class":5355},"0.75",[5302,5622,5371],{"class":5312},[5302,5624,5625],{"class":5456},"label",[5302,5627,5483],{"class":5312},[5302,5629,5630],{"class":5486},"\"Логи запитів\"",[5302,5632,5359],{"class":5312},[5302,5634,5636],{"class":5304,"line":5635},25,[5302,5637,5339],{"emptyLinePlaceholder":5338},[5302,5639,5641],{"class":5304,"line":5640},26,[5302,5642,5643],{"class":5345},"# Розрахунок та візуалізація лінійного тренду (y = ax + b)\n",[5302,5645,5647,5650,5652],{"class":5304,"line":5646},27,[5302,5648,5649],{"class":5312},"z = np.polyfit(connections, latency, ",[5302,5651,5289],{"class":5355},[5302,5653,5359],{"class":5312},[5302,5655,5657],{"class":5304,"line":5656},28,[5302,5658,5659],{"class":5312},"p = np.poly1d(z)\n",[5302,5661,5663,5666,5669],{"class":5304,"line":5662},29,[5302,5664,5665],{"class":5312},"x_line = np.linspace(connections.min(), connections.max(), ",[5302,5667,5668],{"class":5355},"100",[5302,5670,5359],{"class":5312},[5302,5672,5674,5677,5679,5681,5684,5686,5689,5691,5694,5696,5698,5700,5703],{"class":5304,"line":5673},30,[5302,5675,5676],{"class":5312},"ax.plot(x_line, p(x_line), ",[5302,5678,5480],{"class":5456},[5302,5680,5483],{"class":5312},[5302,5682,5683],{"class":5486},"'#ef4444'",[5302,5685,5371],{"class":5312},[5302,5687,5688],{"class":5456},"linestyle",[5302,5690,5483],{"class":5312},[5302,5692,5693],{"class":5486},"'--'",[5302,5695,5371],{"class":5312},[5302,5697,5606],{"class":5456},[5302,5699,5483],{"class":5312},[5302,5701,5702],{"class":5355},"2",[5302,5704,5705],{"class":5312},",\n",[5302,5707,5709,5712,5714,5718,5721,5724,5727,5729,5732,5735,5738,5740,5742,5744,5746,5749,5752],{"class":5304,"line":5708},31,[5302,5710,5711],{"class":5456},"        label",[5302,5713,5483],{"class":5312},[5302,5715,5717],{"class":5716},"su1O8","f",[5302,5719,5720],{"class":5486},"\"Тренд: ",[5302,5722,5723],{"class":5716},"{",[5302,5725,5726],{"class":5312},"z[",[5302,5728,5402],{"class":5355},[5302,5730,5731],{"class":5312},"]",[5302,5733,5734],{"class":5716},":.2f}",[5302,5736,5737],{"class":5486},"x + ",[5302,5739,5723],{"class":5716},[5302,5741,5726],{"class":5312},[5302,5743,5289],{"class":5355},[5302,5745,5731],{"class":5312},[5302,5747,5748],{"class":5716},":.1f}",[5302,5750,5751],{"class":5486},"\"",[5302,5753,5359],{"class":5312},[5302,5755,5757],{"class":5304,"line":5756},32,[5302,5758,5339],{"emptyLinePlaceholder":5338},[5302,5760,5762,5764,5767,5769,5772,5774,5776,5778,5781,5783,5786],{"class":5304,"line":5761},33,[5302,5763,5526],{"class":5312},[5302,5765,5766],{"class":5486},"\"Діагностика затримки API-шлюзу\"",[5302,5768,5371],{"class":5312},[5302,5770,5771],{"class":5456},"fontsize",[5302,5773,5483],{"class":5312},[5302,5775,5407],{"class":5355},[5302,5777,5371],{"class":5312},[5302,5779,5780],{"class":5456},"fontweight",[5302,5782,5483],{"class":5312},[5302,5784,5785],{"class":5486},"'bold'",[5302,5787,5359],{"class":5312},[5302,5789,5791,5793,5795,5797,5799,5801,5803],{"class":5304,"line":5790},34,[5302,5792,5504],{"class":5312},[5302,5794,5507],{"class":5486},[5302,5796,5371],{"class":5312},[5302,5798,5771],{"class":5456},[5302,5800,5483],{"class":5312},[5302,5802,5368],{"class":5355},[5302,5804,5359],{"class":5312},[5302,5806,5808,5810,5812,5814,5816,5818,5820],{"class":5304,"line":5807},35,[5302,5809,5515],{"class":5312},[5302,5811,5518],{"class":5486},[5302,5813,5371],{"class":5312},[5302,5815,5771],{"class":5456},[5302,5817,5483],{"class":5312},[5302,5819,5368],{"class":5355},[5302,5821,5359],{"class":5312},[5302,5823,5825,5828,5831,5833,5835,5837,5840,5842,5844,5846,5849],{"class":5304,"line":5824},36,[5302,5826,5827],{"class":5312},"ax.grid(",[5302,5829,5830],{"class":5716},"True",[5302,5832,5371],{"class":5312},[5302,5834,5688],{"class":5456},[5302,5836,5483],{"class":5312},[5302,5838,5839],{"class":5486},"':'",[5302,5841,5371],{"class":5312},[5302,5843,5615],{"class":5456},[5302,5845,5483],{"class":5312},[5302,5847,5848],{"class":5355},"0.6",[5302,5850,5359],{"class":5312},[5302,5852,5854,5857,5860,5862,5864,5866,5869,5871,5874,5876,5879,5881,5884],{"class":5304,"line":5853},37,[5302,5855,5856],{"class":5312},"ax.legend(",[5302,5858,5859],{"class":5456},"frameon",[5302,5861,5483],{"class":5312},[5302,5863,5830],{"class":5716},[5302,5865,5371],{"class":5312},[5302,5867,5868],{"class":5456},"facecolor",[5302,5870,5483],{"class":5312},[5302,5872,5873],{"class":5486},"'#f8fafc'",[5302,5875,5371],{"class":5312},[5302,5877,5878],{"class":5456},"edgecolor",[5302,5880,5483],{"class":5312},[5302,5882,5883],{"class":5486},"'#cbd5e1'",[5302,5885,5359],{"class":5312},[5302,5887,5889],{"class":5304,"line":5888},38,[5302,5890,5436],{"class":5312},[5892,5893,5894],"template",{"v-slot:output":5297},[5895,5896],"img",{"alt":5897,"className":5898,"src":5900},"Три рівні побудови Scatter plot: від мінімального коду до інженерного графіка",[5899],"diagram-img","\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F13.png",[5276,5902,5903,5907],{"type":5278},[5280,5904,5906],{"id":5905},"чому-scatter-plot-незамінний-у-дослідженні-даних","Чому Scatter Plot незамінний у дослідженні даних?",[5908,5909,5910,5916,5926],"ol",{},[5201,5911,5912,5915],{},[5224,5913,5914],{},"Миттєве зчитування кореляції:"," людське око за частки секунди визначає напрямок нахилу хмари точок (вгору-вправо — зв'язок прямий, вниз-вправо — зворотний).",[5201,5917,5918,5921,5922,5925],{},[5224,5919,5920],{},"Збереження кожного спостереження:"," на відміну від усереднених метрик (mean, median), scatter plot демонструє ",[5259,5923,5924],{},"кожне окреме вимірювання",", уможливлюючи виявлення прихованих викидів.",[5201,5927,5928,5931],{},[5224,5929,5930],{},"Виявлення кластерів та нелінійності:"," розриви між групами або параболічні вигини неможливо зафіксувати однією цифрою — їх видно лише на графіку.",[5193,5933,5935,5938,5941,5979],{"icon":1348,"title":5934},"🧭 Наскрізна інженерна історія: Діагностика хмарного AI-сервісу",[5255,5936,5937],{},"Уявіть, що ви — SRE\u002FDevOps інженер у команді розподіленого AI-сервісу. Останніми днями система фіксує періодичну деградацію часу відповіді (Latency spikes) під час пікових навантажень.",[5255,5939,5940],{},"Перед вами стоїть комплексне завдання розслідування:",[5198,5942,5943,5949,5955,5961,5967,5973],{},[5201,5944,5945,5948],{},[5224,5946,5947],{},"Крок 1 (Scatter):"," Чи є пряма залежність між кількістю активних користувачів та затримкою обробки запитів?",[5201,5950,5951,5954],{},[5224,5952,5953],{},"Крок 2 (Кореляція vs Нелінійність):"," Чи справді затримка зростає лінійно, або при заповненні буфера пам'яті виникає квадратичний стрибок?",[5201,5956,5957,5960],{},[5224,5958,5959],{},"Крок 3 (Лінія регресії):"," За якої критичної кількості запитів система вийде за межі регламентованого SLA (наприклад, понад 100 мс)?",[5201,5962,5963,5966],{},[5224,5964,5965],{},"Крок 4 (4D Bubble Chart):"," Як додати на один графік два додаткові виміри — навантаження CPU (%) кольором та розмір запиту (Payload KB) діаметром точки?",[5201,5968,5969,5972],{},[5224,5970,5971],{},"Крок 5 (Hexbin):"," Як відобразити 100 000 запитів без ризику перетворити графік на неінформативну суцільну пляму?",[5201,5974,5975,5978],{},[5224,5976,5977],{},"Крок 6 (Кореляційна матриця):"," Як звести десятки системних метрик кластера в наочну теплову карту взаємозв'язків?",[5255,5980,5981],{},"Розгляньмо кожен із цих аналітичних інструментів послідовно.",[5247,5983],{},[5250,5985,5987],{"id":5986},"історія-про-рієлтора-та-площу-квартир","Історія про рієлтора та площу квартир",[5255,5989,5990,5991,5994],{},"Рієлтор Олена хоче зрозуміти, чи ",[5224,5992,5993],{},"справді"," ціна квартири залежить від площі. У неї є дані по 100 квартирах: площа та ціна.",[5255,5996,5997],{},"Перший інстинкт — подивитися на таблицю:",[5292,5999,6004],{"className":6000,"code":6002,"language":6003},[6001],"language-text","Площа (м²) | Ціна ($)\n-----------|----------\n45         | 35 000\n72         | 52 000\n110        | 89 000\n38         | 28 000\n...        | ...\n","text",[5299,6005,6002],{"__ignoreMap":5297},[5255,6007,6008,6009,6012],{},"Важко побачити закономірність. А тепер — ",[5224,6010,6011],{},"один графік",":",[5271,6014,6016,6025,6402],{"title":6015,"kernel":5274},"housing_scatter.ipynb",[5276,6017,6018,6022],{"type":5278},[5280,6019,6021],{"id":6020},"залежність-ціни-квартири-від-площі","Залежність ціни квартири від площі",[5255,6023,6024],{},"Один графік показує більше, ніж 100 рядків таблиці",[5276,6026,6028,6395],{"execution-count":5289,"execution-time":6027},"0.19s",[5292,6029,6031],{"className":5294,"code":6030,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Генеруємо реалістичні дані: ціна приблизно пропорційна площі + шум\nrng = np.random.default_rng(seed=42)\narea = rng.uniform(30, 150, 100)  # Площа 30–150 м²\nprice = 500 * area + rng.normal(0, 8000, 100)  # ~500$\u002Fм² + шум\n\nfig, ax = plt.subplots(figsize=(10, 6))\n\nax.scatter(area, price, alpha=0.6, s=80, color=\"steelblue\", edgecolor=\"navy\")\n\nax.set_title(\"Залежність ціни квартири від площі\", \n             fontsize=14, fontweight=\"bold\")\nax.set_xlabel(\"Площа (м²)\", fontsize=12)\nax.set_ylabel(\"Ціна ($)\", fontsize=12)\nax.grid(True, alpha=0.3)\n\n# Додаємо лінію тренду для наочності\nz = np.polyfit(area, price, 1)  # Лінійна регресія\np = np.poly1d(z)\nax.plot(area, p(area), color=\"red\", linestyle=\"--\", linewidth=2, \n        label=f\"Trend: ціна ≈ {z[0]:.0f}·площа + {z[1]:.0f}\")\nax.legend(fontsize=11)\n\nplt.tight_layout()\nplt.show()\n",[5299,6032,6033,6043,6053,6057,6062,6075,6098,6125,6129,6145,6149,6189,6193,6202,6223,6240,6257,6274,6278,6283,6295,6299,6330,6369,6382,6386,6391],{"__ignoreMap":5297},[5302,6034,6035,6037,6039,6041],{"class":5304,"line":5305},[5302,6036,5309],{"class":5308},[5302,6038,5313],{"class":5312},[5302,6040,5316],{"class":5308},[5302,6042,5319],{"class":5312},[5302,6044,6045,6047,6049,6051],{"class":5304,"line":5322},[5302,6046,5309],{"class":5308},[5302,6048,5327],{"class":5312},[5302,6050,5316],{"class":5308},[5302,6052,5332],{"class":5312},[5302,6054,6055],{"class":5304,"line":5335},[5302,6056,5339],{"emptyLinePlaceholder":5338},[5302,6058,6059],{"class":5304,"line":5342},[5302,6060,6061],{"class":5345},"# Генеруємо реалістичні дані: ціна приблизно пропорційна площі + шум\n",[5302,6063,6064,6066,6069,6071,6073],{"class":5304,"line":5349},[5302,6065,5352],{"class":5312},[5302,6067,6068],{"class":5456},"seed",[5302,6070,5483],{"class":5312},[5302,6072,5356],{"class":5355},[5302,6074,5359],{"class":5312},[5302,6076,6077,6080,6083,6085,6088,6090,6092,6095],{"class":5304,"line":5362},[5302,6078,6079],{"class":5312},"area = rng.uniform(",[5302,6081,6082],{"class":5355},"30",[5302,6084,5371],{"class":5312},[5302,6086,6087],{"class":5355},"150",[5302,6089,5371],{"class":5312},[5302,6091,5668],{"class":5355},[5302,6093,6094],{"class":5312},")  ",[5302,6096,6097],{"class":5345},"# Площа 30–150 м²\n",[5302,6099,6100,6103,6106,6109,6111,6113,6116,6118,6120,6122],{"class":5304,"line":5384},[5302,6101,6102],{"class":5312},"price = ",[5302,6104,6105],{"class":5355},"500",[5302,6107,6108],{"class":5312}," * area + rng.normal(",[5302,6110,5402],{"class":5355},[5302,6112,5371],{"class":5312},[5302,6114,6115],{"class":5355},"8000",[5302,6117,5371],{"class":5312},[5302,6119,5668],{"class":5355},[5302,6121,6094],{"class":5312},[5302,6123,6124],{"class":5345},"# ~500$\u002Fм² + шум\n",[5302,6126,6127],{"class":5304,"line":5416},[5302,6128,5339],{"emptyLinePlaceholder":5338},[5302,6130,6131,6133,6135,6137,6139,6141,6143],{"class":5304,"line":5421},[5302,6132,5453],{"class":5312},[5302,6134,5457],{"class":5456},[5302,6136,5460],{"class":5312},[5302,6138,5368],{"class":5355},[5302,6140,5371],{"class":5312},[5302,6142,5463],{"class":5355},[5302,6144,5471],{"class":5312},[5302,6146,6147],{"class":5304,"line":5427},[5302,6148,5339],{"emptyLinePlaceholder":5338},[5302,6150,6151,6154,6156,6158,6160,6162,6164,6166,6169,6171,6173,6175,6178,6180,6182,6184,6187],{"class":5304,"line":5433},[5302,6152,6153],{"class":5312},"ax.scatter(area, price, ",[5302,6155,5615],{"class":5456},[5302,6157,5483],{"class":5312},[5302,6159,5848],{"class":5355},[5302,6161,5371],{"class":5312},[5302,6163,5492],{"class":5456},[5302,6165,5483],{"class":5312},[5302,6167,6168],{"class":5355},"80",[5302,6170,5371],{"class":5312},[5302,6172,5480],{"class":5456},[5302,6174,5483],{"class":5312},[5302,6176,6177],{"class":5486},"\"steelblue\"",[5302,6179,5371],{"class":5312},[5302,6181,5878],{"class":5456},[5302,6183,5483],{"class":5312},[5302,6185,6186],{"class":5486},"\"navy\"",[5302,6188,5359],{"class":5312},[5302,6190,6191],{"class":5304,"line":5439},[5302,6192,5339],{"emptyLinePlaceholder":5338},[5302,6194,6195,6197,6200],{"class":5304,"line":5444},[5302,6196,5526],{"class":5312},[5302,6198,6199],{"class":5486},"\"Залежність ціни квартири від площі\"",[5302,6201,5590],{"class":5312},[5302,6203,6204,6207,6209,6212,6214,6216,6218,6221],{"class":5304,"line":5450},[5302,6205,6206],{"class":5456},"             fontsize",[5302,6208,5483],{"class":5312},[5302,6210,6211],{"class":5355},"14",[5302,6213,5371],{"class":5312},[5302,6215,5780],{"class":5456},[5302,6217,5483],{"class":5312},[5302,6219,6220],{"class":5486},"\"bold\"",[5302,6222,5359],{"class":5312},[5302,6224,6225,6227,6230,6232,6234,6236,6238],{"class":5304,"line":5474},[5302,6226,5504],{"class":5312},[5302,6228,6229],{"class":5486},"\"Площа (м²)\"",[5302,6231,5371],{"class":5312},[5302,6233,5771],{"class":5456},[5302,6235,5483],{"class":5312},[5302,6237,5407],{"class":5355},[5302,6239,5359],{"class":5312},[5302,6241,6242,6244,6247,6249,6251,6253,6255],{"class":5304,"line":5501},[5302,6243,5515],{"class":5312},[5302,6245,6246],{"class":5486},"\"Ціна ($)\"",[5302,6248,5371],{"class":5312},[5302,6250,5771],{"class":5456},[5302,6252,5483],{"class":5312},[5302,6254,5407],{"class":5355},[5302,6256,5359],{"class":5312},[5302,6258,6259,6261,6263,6265,6267,6269,6272],{"class":5304,"line":5512},[5302,6260,5827],{"class":5312},[5302,6262,5830],{"class":5716},[5302,6264,5371],{"class":5312},[5302,6266,5615],{"class":5456},[5302,6268,5483],{"class":5312},[5302,6270,6271],{"class":5355},"0.3",[5302,6273,5359],{"class":5312},[5302,6275,6276],{"class":5304,"line":5523},[5302,6277,5339],{"emptyLinePlaceholder":5338},[5302,6279,6280],{"class":5304,"line":5534},[5302,6281,6282],{"class":5345},"# Додаємо лінію тренду для наочності\n",[5302,6284,6285,6288,6290,6292],{"class":5304,"line":5539},[5302,6286,6287],{"class":5312},"z = np.polyfit(area, price, ",[5302,6289,5289],{"class":5355},[5302,6291,6094],{"class":5312},[5302,6293,6294],{"class":5345},"# Лінійна регресія\n",[5302,6296,6297],{"class":5304,"line":5544},[5302,6298,5659],{"class":5312},[5302,6300,6301,6304,6306,6308,6311,6313,6315,6317,6320,6322,6324,6326,6328],{"class":5304,"line":5550},[5302,6302,6303],{"class":5312},"ax.plot(area, p(area), ",[5302,6305,5480],{"class":5456},[5302,6307,5483],{"class":5312},[5302,6309,6310],{"class":5486},"\"red\"",[5302,6312,5371],{"class":5312},[5302,6314,5688],{"class":5456},[5302,6316,5483],{"class":5312},[5302,6318,6319],{"class":5486},"\"--\"",[5302,6321,5371],{"class":5312},[5302,6323,5606],{"class":5456},[5302,6325,5483],{"class":5312},[5302,6327,5702],{"class":5355},[5302,6329,5590],{"class":5312},[5302,6331,6332,6334,6336,6338,6341,6343,6345,6347,6349,6352,6355,6357,6359,6361,6363,6365,6367],{"class":5304,"line":5569},[5302,6333,5711],{"class":5456},[5302,6335,5483],{"class":5312},[5302,6337,5717],{"class":5716},[5302,6339,6340],{"class":5486},"\"Trend: ціна ≈ ",[5302,6342,5723],{"class":5716},[5302,6344,5726],{"class":5312},[5302,6346,5402],{"class":5355},[5302,6348,5731],{"class":5312},[5302,6350,6351],{"class":5716},":.0f}",[5302,6353,6354],{"class":5486},"·площа + ",[5302,6356,5723],{"class":5716},[5302,6358,5726],{"class":5312},[5302,6360,5289],{"class":5355},[5302,6362,5731],{"class":5312},[5302,6364,6351],{"class":5716},[5302,6366,5751],{"class":5486},[5302,6368,5359],{"class":5312},[5302,6370,6371,6373,6375,6377,6380],{"class":5304,"line":5593},[5302,6372,5856],{"class":5312},[5302,6374,5771],{"class":5456},[5302,6376,5483],{"class":5312},[5302,6378,6379],{"class":5355},"11",[5302,6381,5359],{"class":5312},[5302,6383,6384],{"class":5304,"line":5635},[5302,6385,5339],{"emptyLinePlaceholder":5338},[5302,6387,6388],{"class":5304,"line":5640},[5302,6389,6390],{"class":5312},"plt.tight_layout()\n",[5302,6392,6393],{"class":5304,"line":5646},[5302,6394,5436],{"class":5312},[5892,6396,6397],{"v-slot:output":5297},[5895,6398],{"alt":6399,"className":6400,"src":6401},"Scatter plot: площа vs ціна",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F01.png",[5276,6403,6404,6409,6434],{"type":5278},[5255,6405,6406],{},[5224,6407,6408],{},"Висновки одразу видно:",[5908,6410,6411,6418,6425,6428],{},[5201,6412,6413,6414,6417],{},"Чіткий ",[5224,6415,6416],{},"позитивний"," зв'язок: більша площа → вища ціна",[5201,6419,6420,6421,6424],{},"Зв'язок майже ",[5224,6422,6423],{},"лінійний"," (точки близько до прямої)",[5201,6426,6427],{},"Є розкид (шум): не всі квартири однакової площі коштують однаково (впливають інші фактори)",[5201,6429,6430,6431],{},"Лінія тренду показує: ",[5224,6432,6433],{},"~500$ за кожен м²",[5255,6435,6436],{},"Це неможливо побачити в таблиці з 100 рядків!",[6438,6439,6440,6445],"note",{},[5255,6441,6442],{},[5224,6443,6444],{},"Зв'язок з модулем статистики (04.statistics-basics\u002F05.correlation):",[5198,6446,6447,6454,6461,6468,6475],{},[5201,6448,6449,6450,6453],{},"Scatter plot ",[5224,6451,6452],{},"візуалізує"," те, що описує коефіцієнт кореляції Пірсона",[5201,6455,6456,6457,6460],{},"Якщо точки йдуть «вгору вправо» — ",[5224,6458,6459],{},"позитивна кореляція"," (r > 0)",[5201,6462,6463,6464,6467],{},"Якщо «вниз вправо» — ",[5224,6465,6466],{},"негативна кореляція"," (r \u003C 0)",[5201,6469,6470,6471,6474],{},"Якщо хаос — ",[5224,6472,6473],{},"немає лінійного зв'язку"," (r ≈ 0)",[5201,6476,6477],{},"Чим щільніше точки до прямої — тим сильніша кореляція (|r| ближче до 1)",[5247,6479],{},[5250,6481,6483],{"id":6482},"scatter-plots-точкові-діаграми-для-двох-змінних","Scatter Plots — точкові діаграми для двох змінних",[5280,6485,6487],{"id":6486},"що-таке-scatter-plot","Що таке scatter plot?",[5255,6489,6490,6492],{},[5224,6491,5226],{}," — це графік, де кожна точка представляє одне спостереження з двома координатами: значення змінної X та значення змінної Y.",[6494,6495,6496],"blockquote",{},[5255,6497,6498],{},"Аналогія: уявіть, що ви вимірювали зріст та вагу 100 людей. Кожна людина — це одна точка на графіку: по горизонталі — зріст, по вертикалі — вага. Якщо точки йдуть «вгору вправо» — вищі люди зазвичай важчі (позитивна кореляція).",[5280,6500,6502],{"id":6501},"базовий-scatter-plot","Базовий scatter plot",[5271,6504,6506],{"title":6505},"scatter_basics.ipynb",[5276,6507,6508,6769],{"execution-count":5289},[5292,6509,6511],{"className":5294,"code":6510,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Дані: годин навчання → бали на іспиті (50 студентів)\nrng = np.random.default_rng(seed=123)\nhours_studied = rng.uniform(1, 10, 50)\nexam_scores = 40 + 5 * hours_studied + rng.normal(0, 5, 50)\n\nfig, ax = plt.subplots(figsize=(10, 6))\n\nax.scatter(hours_studied, exam_scores, s=100, alpha=0.6, \n           color=\"coral\", edgecolor=\"darkred\", linewidth=1.5)\n\nax.set_title(\"Залежність балів на іспиті від годин навчання\", \n             fontsize=14, fontweight=\"bold\")\nax.set_xlabel(\"Години навчання\", fontsize=12)\nax.set_ylabel(\"Бали на іспиті (0–100)\", fontsize=12)\nax.grid(True, alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5299,6512,6513,6523,6533,6537,6542,6555,6573,6601,6605,6621,6625,6646,6676,6680,6689,6707,6724,6741,6757,6761,6765],{"__ignoreMap":5297},[5302,6514,6515,6517,6519,6521],{"class":5304,"line":5305},[5302,6516,5309],{"class":5308},[5302,6518,5313],{"class":5312},[5302,6520,5316],{"class":5308},[5302,6522,5319],{"class":5312},[5302,6524,6525,6527,6529,6531],{"class":5304,"line":5322},[5302,6526,5309],{"class":5308},[5302,6528,5327],{"class":5312},[5302,6530,5316],{"class":5308},[5302,6532,5332],{"class":5312},[5302,6534,6535],{"class":5304,"line":5335},[5302,6536,5339],{"emptyLinePlaceholder":5338},[5302,6538,6539],{"class":5304,"line":5342},[5302,6540,6541],{"class":5345},"# Дані: годин навчання → бали на іспиті (50 студентів)\n",[5302,6543,6544,6546,6548,6550,6553],{"class":5304,"line":5349},[5302,6545,5352],{"class":5312},[5302,6547,6068],{"class":5456},[5302,6549,5483],{"class":5312},[5302,6551,6552],{"class":5355},"123",[5302,6554,5359],{"class":5312},[5302,6556,6557,6560,6562,6564,6566,6568,6571],{"class":5304,"line":5362},[5302,6558,6559],{"class":5312},"hours_studied = rng.uniform(",[5302,6561,5289],{"class":5355},[5302,6563,5371],{"class":5312},[5302,6565,5368],{"class":5355},[5302,6567,5371],{"class":5312},[5302,6569,6570],{"class":5355},"50",[5302,6572,5359],{"class":5312},[5302,6574,6575,6578,6581,6583,6586,6589,6591,6593,6595,6597,6599],{"class":5304,"line":5384},[5302,6576,6577],{"class":5312},"exam_scores = ",[5302,6579,6580],{"class":5355},"40",[5302,6582,5393],{"class":5312},[5302,6584,6585],{"class":5355},"5",[5302,6587,6588],{"class":5312}," * hours_studied + rng.normal(",[5302,6590,5402],{"class":5355},[5302,6592,5371],{"class":5312},[5302,6594,6585],{"class":5355},[5302,6596,5371],{"class":5312},[5302,6598,6570],{"class":5355},[5302,6600,5359],{"class":5312},[5302,6602,6603],{"class":5304,"line":5416},[5302,6604,5339],{"emptyLinePlaceholder":5338},[5302,6606,6607,6609,6611,6613,6615,6617,6619],{"class":5304,"line":5421},[5302,6608,5453],{"class":5312},[5302,6610,5457],{"class":5456},[5302,6612,5460],{"class":5312},[5302,6614,5368],{"class":5355},[5302,6616,5371],{"class":5312},[5302,6618,5463],{"class":5355},[5302,6620,5471],{"class":5312},[5302,6622,6623],{"class":5304,"line":5427},[5302,6624,5339],{"emptyLinePlaceholder":5338},[5302,6626,6627,6630,6632,6634,6636,6638,6640,6642,6644],{"class":5304,"line":5433},[5302,6628,6629],{"class":5312},"ax.scatter(hours_studied, exam_scores, ",[5302,6631,5492],{"class":5456},[5302,6633,5483],{"class":5312},[5302,6635,5668],{"class":5355},[5302,6637,5371],{"class":5312},[5302,6639,5615],{"class":5456},[5302,6641,5483],{"class":5312},[5302,6643,5848],{"class":5355},[5302,6645,5590],{"class":5312},[5302,6647,6648,6651,6653,6656,6658,6660,6662,6665,6667,6669,6671,6674],{"class":5304,"line":5439},[5302,6649,6650],{"class":5456},"           color",[5302,6652,5483],{"class":5312},[5302,6654,6655],{"class":5486},"\"coral\"",[5302,6657,5371],{"class":5312},[5302,6659,5878],{"class":5456},[5302,6661,5483],{"class":5312},[5302,6663,6664],{"class":5486},"\"darkred\"",[5302,6666,5371],{"class":5312},[5302,6668,5606],{"class":5456},[5302,6670,5483],{"class":5312},[5302,6672,6673],{"class":5355},"1.5",[5302,6675,5359],{"class":5312},[5302,6677,6678],{"class":5304,"line":5444},[5302,6679,5339],{"emptyLinePlaceholder":5338},[5302,6681,6682,6684,6687],{"class":5304,"line":5450},[5302,6683,5526],{"class":5312},[5302,6685,6686],{"class":5486},"\"Залежність балів на іспиті від годин навчання\"",[5302,6688,5590],{"class":5312},[5302,6690,6691,6693,6695,6697,6699,6701,6703,6705],{"class":5304,"line":5474},[5302,6692,6206],{"class":5456},[5302,6694,5483],{"class":5312},[5302,6696,6211],{"class":5355},[5302,6698,5371],{"class":5312},[5302,6700,5780],{"class":5456},[5302,6702,5483],{"class":5312},[5302,6704,6220],{"class":5486},[5302,6706,5359],{"class":5312},[5302,6708,6709,6711,6714,6716,6718,6720,6722],{"class":5304,"line":5501},[5302,6710,5504],{"class":5312},[5302,6712,6713],{"class":5486},"\"Години навчання\"",[5302,6715,5371],{"class":5312},[5302,6717,5771],{"class":5456},[5302,6719,5483],{"class":5312},[5302,6721,5407],{"class":5355},[5302,6723,5359],{"class":5312},[5302,6725,6726,6728,6731,6733,6735,6737,6739],{"class":5304,"line":5512},[5302,6727,5515],{"class":5312},[5302,6729,6730],{"class":5486},"\"Бали на іспиті (0–100)\"",[5302,6732,5371],{"class":5312},[5302,6734,5771],{"class":5456},[5302,6736,5483],{"class":5312},[5302,6738,5407],{"class":5355},[5302,6740,5359],{"class":5312},[5302,6742,6743,6745,6747,6749,6751,6753,6755],{"class":5304,"line":5523},[5302,6744,5827],{"class":5312},[5302,6746,5830],{"class":5716},[5302,6748,5371],{"class":5312},[5302,6750,5615],{"class":5456},[5302,6752,5483],{"class":5312},[5302,6754,6271],{"class":5355},[5302,6756,5359],{"class":5312},[5302,6758,6759],{"class":5304,"line":5534},[5302,6760,5339],{"emptyLinePlaceholder":5338},[5302,6762,6763],{"class":5304,"line":5539},[5302,6764,6390],{"class":5312},[5302,6766,6767],{"class":5304,"line":5544},[5302,6768,5436],{"class":5312},[5892,6770,6771],{"v-slot:output":5297},[5895,6772],{"alt":6502,"className":6773,"src":6774},[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F02.png",[6776,6777,6778,6786,6888,6895,6898],"tip",{},[5255,6779,6780],{},[5224,6781,6782,6783,6012],{},"Параметри ",[5299,6784,6785],{},"ax.scatter()",[5292,6787,6789],{"className":5294,"code":6788,"language":5296,"meta":5297,"style":5297},"ax.scatter(x, y, \n           s=50,              # Розмір точок (size)\n           c=\"blue\",          # Колір (може бути масивом для кольорової карти)\n           alpha=0.7,         # Прозорість (0 = невидимий, 1 = непрозорий)\n           marker=\"o\",        # Форма маркера (\"o\", \"s\", \"^\", \"D\", \"*\")\n           edgecolor=\"black\", # Колір обведення точок\n           linewidth=1)       # Товщина обведення\n",[5299,6790,6791,6796,6811,6827,6843,6859,6873],{"__ignoreMap":5297},[5302,6792,6793],{"class":5304,"line":5305},[5302,6794,6795],{"class":5312},"ax.scatter(x, y, \n",[5302,6797,6798,6801,6803,6805,6808],{"class":5304,"line":5322},[5302,6799,6800],{"class":5456},"           s",[5302,6802,5483],{"class":5312},[5302,6804,6570],{"class":5355},[5302,6806,6807],{"class":5312},",              ",[5302,6809,6810],{"class":5345},"# Розмір точок (size)\n",[5302,6812,6813,6816,6818,6821,6824],{"class":5304,"line":5335},[5302,6814,6815],{"class":5456},"           c",[5302,6817,5483],{"class":5312},[5302,6819,6820],{"class":5486},"\"blue\"",[5302,6822,6823],{"class":5312},",          ",[5302,6825,6826],{"class":5345},"# Колір (може бути масивом для кольорової карти)\n",[5302,6828,6829,6832,6834,6837,6840],{"class":5304,"line":5342},[5302,6830,6831],{"class":5456},"           alpha",[5302,6833,5483],{"class":5312},[5302,6835,6836],{"class":5355},"0.7",[5302,6838,6839],{"class":5312},",         ",[5302,6841,6842],{"class":5345},"# Прозорість (0 = невидимий, 1 = непрозорий)\n",[5302,6844,6845,6848,6850,6853,6856],{"class":5304,"line":5349},[5302,6846,6847],{"class":5456},"           marker",[5302,6849,5483],{"class":5312},[5302,6851,6852],{"class":5486},"\"o\"",[5302,6854,6855],{"class":5312},",        ",[5302,6857,6858],{"class":5345},"# Форма маркера (\"o\", \"s\", \"^\", \"D\", \"*\")\n",[5302,6860,6861,6863,6865,6868,6870],{"class":5304,"line":5362},[5302,6862,5596],{"class":5456},[5302,6864,5483],{"class":5312},[5302,6866,6867],{"class":5486},"\"black\"",[5302,6869,5371],{"class":5312},[5302,6871,6872],{"class":5345},"# Колір обведення точок\n",[5302,6874,6875,6878,6880,6882,6885],{"class":5304,"line":5384},[5302,6876,6877],{"class":5456},"           linewidth",[5302,6879,5483],{"class":5312},[5302,6881,5289],{"class":5355},[5302,6883,6884],{"class":5312},")       ",[5302,6886,6887],{"class":5345},"# Товщина обведення\n",[5255,6889,6890],{},[5895,6891],{"alt":6892,"className":6893,"src":6894},"Демонстрація параметрів ax.scatter",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F03.png",[5255,6896,6897],{},"Рекомендації:",[5198,6899,6900,6906,6912],{},[5201,6901,6902,6905],{},[5299,6903,6904],{},"s=50–100"," для звичайних графіків",[5201,6907,6908,6911],{},[5299,6909,6910],{},"alpha=0.5–0.7"," якщо точки перекриваються",[5201,6913,6914,6916],{},[5299,6915,5878],{}," додає контраст (особливо на світлих фонах)",[5280,6918,6920,6921],{"id":6919},"повна-сигнатура-та-анатомія-параметрів-axscatter","Повна сигнатура та анатомія параметрів ",[5299,6922,6785],{},[5255,6924,6925,6926,6928,6929,6932,6933,6936],{},"Метод ",[5299,6927,6785],{}," створює об'єкт ",[5299,6930,6931],{},"PathCollection",", оптимізований для індивідуального керування кожною точкою (на відміну від ",[5299,6934,6935],{},"ax.plot()",", де всі маркери мають однаковий стиль).",[5292,6938,6940],{"className":5294,"code":6939,"language":5296,"meta":5297,"style":5297},"ax.scatter(\n    x, y,\n    s=None,\n    c=None,\n    marker=None,\n    cmap=None,\n    norm=None,\n    vmin=None,\n    vmax=None,\n    alpha=None,\n    linewidths=None,\n    edgecolors=None,\n    plotnonfinite=False,\n    data=None,\n    **kwargs\n) -> PathCollection\n",[5299,6941,6942,6947,6952,6964,6975,6986,6997,7008,7019,7030,7041,7052,7063,7075,7086,7091],{"__ignoreMap":5297},[5302,6943,6944],{"class":5304,"line":5305},[5302,6945,6946],{"class":5312},"ax.scatter(\n",[5302,6948,6949],{"class":5304,"line":5322},[5302,6950,6951],{"class":5312},"    x, y,\n",[5302,6953,6954,6957,6959,6962],{"class":5304,"line":5335},[5302,6955,6956],{"class":5456},"    s",[5302,6958,5483],{"class":5312},[5302,6960,6961],{"class":5716},"None",[5302,6963,5705],{"class":5312},[5302,6965,6966,6969,6971,6973],{"class":5304,"line":5342},[5302,6967,6968],{"class":5456},"    c",[5302,6970,5483],{"class":5312},[5302,6972,6961],{"class":5716},[5302,6974,5705],{"class":5312},[5302,6976,6977,6980,6982,6984],{"class":5304,"line":5349},[5302,6978,6979],{"class":5456},"    marker",[5302,6981,5483],{"class":5312},[5302,6983,6961],{"class":5716},[5302,6985,5705],{"class":5312},[5302,6987,6988,6991,6993,6995],{"class":5304,"line":5362},[5302,6989,6990],{"class":5456},"    cmap",[5302,6992,5483],{"class":5312},[5302,6994,6961],{"class":5716},[5302,6996,5705],{"class":5312},[5302,6998,6999,7002,7004,7006],{"class":5304,"line":5384},[5302,7000,7001],{"class":5456},"    norm",[5302,7003,5483],{"class":5312},[5302,7005,6961],{"class":5716},[5302,7007,5705],{"class":5312},[5302,7009,7010,7013,7015,7017],{"class":5304,"line":5416},[5302,7011,7012],{"class":5456},"    vmin",[5302,7014,5483],{"class":5312},[5302,7016,6961],{"class":5716},[5302,7018,5705],{"class":5312},[5302,7020,7021,7024,7026,7028],{"class":5304,"line":5421},[5302,7022,7023],{"class":5456},"    vmax",[5302,7025,5483],{"class":5312},[5302,7027,6961],{"class":5716},[5302,7029,5705],{"class":5312},[5302,7031,7032,7035,7037,7039],{"class":5304,"line":5427},[5302,7033,7034],{"class":5456},"    alpha",[5302,7036,5483],{"class":5312},[5302,7038,6961],{"class":5716},[5302,7040,5705],{"class":5312},[5302,7042,7043,7046,7048,7050],{"class":5304,"line":5433},[5302,7044,7045],{"class":5456},"    linewidths",[5302,7047,5483],{"class":5312},[5302,7049,6961],{"class":5716},[5302,7051,5705],{"class":5312},[5302,7053,7054,7057,7059,7061],{"class":5304,"line":5439},[5302,7055,7056],{"class":5456},"    edgecolors",[5302,7058,5483],{"class":5312},[5302,7060,6961],{"class":5716},[5302,7062,5705],{"class":5312},[5302,7064,7065,7068,7070,7073],{"class":5304,"line":5444},[5302,7066,7067],{"class":5456},"    plotnonfinite",[5302,7069,5483],{"class":5312},[5302,7071,7072],{"class":5716},"False",[5302,7074,5705],{"class":5312},[5302,7076,7077,7080,7082,7084],{"class":5304,"line":5450},[5302,7078,7079],{"class":5456},"    data",[5302,7081,5483],{"class":5312},[5302,7083,6961],{"class":5716},[5302,7085,5705],{"class":5312},[5302,7087,7088],{"class":5304,"line":5474},[5302,7089,7090],{"class":5312},"    **kwargs\n",[5302,7092,7093,7096,7100],{"class":5304,"line":5501},[5302,7094,7095],{"class":5312},") ",[5302,7097,7099],{"class":7098},"se1LK","->",[5302,7101,7102],{"class":5312}," PathCollection\n",[7104,7105,7106,7126],"table",{},[7107,7108,7109],"thead",{},[7110,7111,7112,7117,7120,7123],"tr",{},[7113,7114,7116],"th",{"align":7115},"left","Параметр",[7113,7118,7119],{"align":7115},"Тип",[7113,7121,7122],{"align":7115},"За замовчуванням",[7113,7124,7125],{"align":7115},"Опис та інженерне призначення",[7127,7128,7129,7153,7176,7198,7242,7274,7301,7323,7341,7360],"tbody",{},[7110,7130,7131,7140,7145,7150],{},[7132,7133,7134,5371,7137],"td",{"align":7115},[5299,7135,7136],{},"x",[5299,7138,7139],{},"y",[7132,7141,7142],{"align":7115},[5299,7143,7144],{},"ArrayLike",[7132,7146,7147],{"align":7115},[5259,7148,7149],{},"обов'язкові",[7132,7151,7152],{"align":7115},"Координати точок (одновимірні масиви або Series однакової довжини).",[7110,7154,7155,7159,7164,7170],{},[7132,7156,7157],{"align":7115},[5299,7158,5492],{},[7132,7160,7161],{"align":7115},[5299,7162,7163],{},"float | ArrayLike",[7132,7165,7166,7169],{"align":7115},[5299,7167,7168],{},"rcParams['lines.markersize']**2"," (~36)",[7132,7171,7172,7175],{"align":7115},[5224,7173,7174],{},"Розмір точок у $pt^2$ (площа, а не радіус!)",". Може бути масивом для Bubble chart.",[7110,7177,7178,7183,7188,7192],{},[7132,7179,7180],{"align":7115},[5299,7181,7182],{},"c",[7132,7184,7185],{"align":7115},[5299,7186,7187],{},"color | ArrayLike",[7132,7189,7190],{"align":7115},[5299,7191,6961],{},[7132,7193,7194,7195,5266],{"align":7115},"Колір точок. Якщо передати числовий масив — значення відображаються через ",[5299,7196,7197],{},"cmap",[7110,7199,7200,7205,7210,7216],{},[7132,7201,7202],{"align":7115},[5299,7203,7204],{},"marker",[7132,7206,7207],{"align":7115},[5299,7208,7209],{},"str | MarkerStyle",[7132,7211,7212,7215],{"align":7115},[5299,7213,7214],{},"'o'"," (коло)",[7132,7217,7218,7219,7221,7222,7225,7226,7229,7230,7233,7234,7237,7238,7241],{"align":7115},"Форма маркера: ",[5299,7220,7214],{}," (коло), ",[5299,7223,7224],{},"'s'"," (квадрат), ",[5299,7227,7228],{},"'^'"," (трикутник), ",[5299,7231,7232],{},"'D'"," (ромб), ",[5299,7235,7236],{},"'X'"," (хрест), ",[5299,7239,7240],{},"'*'"," (зірка).",[7110,7243,7244,7248,7253,7258],{},[7132,7245,7246],{"align":7115},[5299,7247,7197],{},[7132,7249,7250],{"align":7115},[5299,7251,7252],{},"str | Colormap",[7132,7254,7255,7257],{"align":7115},[5299,7256,6961],{}," (rcParams)",[7132,7259,7260,7261,5371,7264,5371,7267,7270,7271,7273],{"align":7115},"Назва колірної карти (",[5299,7262,7263],{},"'viridis'",[5299,7265,7266],{},"'plasma'",[5299,7268,7269],{},"'coolwarm'","), якщо ",[5299,7272,7182],{}," — числовий масив.",[7110,7275,7276,7281,7286,7290],{},[7132,7277,7278],{"align":7115},[5299,7279,7280],{},"norm",[7132,7282,7283],{"align":7115},[5299,7284,7285],{},"Normalize",[7132,7287,7288],{"align":7115},[5299,7289,6961],{},[7132,7291,7292,7293,7296,7297,7300],{"align":7115},"Нормалізатор числових значень (наприклад, ",[5299,7294,7295],{},"Normalize(vmin, vmax)"," або ",[5299,7298,7299],{},"LogNorm()",").",[7110,7302,7303,7311,7316,7320],{},[7132,7304,7305,5371,7308],{"align":7115},[5299,7306,7307],{},"vmin",[5299,7309,7310],{},"vmax",[7132,7312,7313],{"align":7115},[5299,7314,7315],{},"float",[7132,7317,7318],{"align":7115},[5299,7319,6961],{},[7132,7321,7322],{"align":7115},"Явні межі значень для прив'язки кольорів палітри.",[7110,7324,7325,7329,7333,7338],{},[7132,7326,7327],{"align":7115},[5299,7328,5615],{},[7132,7330,7331],{"align":7115},[5299,7332,7315],{},[7132,7334,7335,7337],{"align":7115},[5299,7336,6961],{}," (1.0)",[7132,7339,7340],{"align":7115},"Прозорість від 0.0 (повністю прозорий) до 1.0 (непрозорий). Ключ до боротьби з перекриттям.",[7110,7342,7343,7348,7353,7357],{},[7132,7344,7345],{"align":7115},[5299,7346,7347],{},"linewidths",[7132,7349,7350],{"align":7115},[5299,7351,7352],{},"float | Sequence",[7132,7354,7355],{"align":7115},[5299,7356,6673],{},[7132,7358,7359],{"align":7115},"Товщина обведення контуру маркера.",[7110,7361,7362,7367,7372,7377],{},[7132,7363,7364],{"align":7115},[5299,7365,7366],{},"edgecolors",[7132,7368,7369],{"align":7115},[5299,7370,7371],{},"color | 'none' | 'face'",[7132,7373,7374],{"align":7115},[5299,7375,7376],{},"'face'",[7132,7378,7379],{"align":7115},"Колір контуру маркера. Контрастний контур (наприклад, темно-синій або чорний) відділяє накладені точки.",[5271,7381,7383,7392],{"title":7382,"kernel":5274},"scatter_parameters_deep_dive.ipynb",[5276,7384,7385,7389],{"type":5278},[5280,7386,7388],{"id":7387},"візуальне-дослідження-параметрів-axscatter","Візуальне дослідження параметрів ax.scatter()",[5255,7390,7391],{},"Порівняння розмірів, типів маркерів, прозорості з обведенням та колірного кодування",[5276,7393,7395,8603],{"execution-count":5289,"execution-time":7394},"0.25s",[5292,7396,7398],{"className":5294,"code":7397,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(42)\nfig, axes = plt.subplots(2, 2, figsize=(13, 9.5))\n\n# 1. Параметр s: малі, середні та великі маркери\nx_s = np.linspace(1, 10, 20)\ny_s = 2 * x_s + rng.normal(0, 1, 20)\naxes[0, 0].scatter(x_s[:7], y_s[:7], s=25, color='#0284c7', label=\"s = 25 (малі)\")\naxes[0, 0].scatter(x_s[7:14], y_s[7:14], s=90, color='#0ea5e9', edgecolor='#0369a1', linewidth=1, label=\"s = 90 (середні)\")\naxes[0, 0].scatter(x_s[14:], y_s[14:], s=220, color='#38bdf8', edgecolor='#0284c7', linewidth=1.5, alpha=0.8, label=\"s = 220 (великі)\")\naxes[0, 0].set_title(\"Параметр s: фіксований або змінний розмір\", fontweight='bold')\naxes[0, 0].legend()\naxes[0, 0].grid(True, linestyle=':', alpha=0.6)\n\n# 2. Параметр marker: спектр геометричних форм\nmarkers = [('o', 'Коло \"o\"'), ('s', 'Квадрат \"s\"'), ('^', 'Трикутник \"^\"'), \n           ('D', 'Ромб \"D\"'), ('X', 'Хрестик \"X\"'), ('*', 'Зірка \"*\"')]\nfor i, (m, lbl) in enumerate(markers):\n    xm = np.linspace(1, 10, 6) + rng.uniform(-0.15, 0.15, 6)\n    ym = np.full(6, i + 1) + rng.uniform(-0.1, 0.1, 6)\n    axes[0, 1].scatter(xm, ym, marker=m, s=110, color='#8b5cf6', edgecolor='#4c1d95', linewidth=1)\naxes[0, 1].set_yticks(range(1, 7))\naxes[0, 1].set_yticklabels([m[1] for m in markers])\naxes[0, 1].set_title(\"Параметр marker: форма точок\", fontweight='bold')\naxes[0, 1].grid(True, linestyle=':', alpha=0.6)\n\n# 3. Параметри alpha та edgecolors: читабельність скупчень\nx_c = rng.normal(5, 1.2, 120)\ny_c = rng.normal(5, 1.2, 120)\naxes[1, 0].scatter(x_c - 1.5, y_c, s=110, color='#ef4444', alpha=1.0, edgecolor='none', label=\"alpha=1.0 (злипання)\")\naxes[1, 0].scatter(x_c + 1.5, y_c, s=110, color='#10b981', alpha=0.45, edgecolor='#064e3b', linewidth=1.5, label=\"alpha=0.45 + контур\")\naxes[1, 0].set_title(\"Параметри alpha та edgecolors: розрізнення густини\", fontweight='bold')\naxes[1, 0].legend(loc='upper left')\naxes[1, 0].grid(True, linestyle=':', alpha=0.6)\n\n# 4. Параметри c та cmap: відображення третього виміру\nx_d = rng.uniform(0, 10, 60)\ny_d = 1.5 * x_d + rng.normal(0, 2, 60)\nc_vals = x_d * 2.5 + y_d\nsc = axes[1, 1].scatter(x_d, y_d, c=c_vals, cmap='viridis', s=85, edgecolor='black', linewidth=0.5, alpha=0.9)\ncbar = fig.colorbar(sc, ax=axes[1, 1], fraction=0.046, pad=0.04)\ncbar.set_label(\"Значення метрики (c)\")\naxes[1, 1].set_title(\"Параметри c та cmap: числовий колірний градієнт\", fontweight='bold')\naxes[1, 1].grid(True, linestyle=':', alpha=0.6)\n\nplt.tight_layout()\nplt.show()\n",[5299,7399,7400,7410,7420,7424,7432,7459,7463,7468,7486,7508,7558,7632,7706,7732,7745,7778,7782,7787,7821,7854,7872,7903,7930,7984,8011,8039,8064,8096,8100,8105,8124,8141,8202,8271,8296,8319,8351,8355,8360,8379,8402,8414,8478,8518,8529,8555,8588,8593,8598],{"__ignoreMap":5297},[5302,7401,7402,7404,7406,7408],{"class":5304,"line":5305},[5302,7403,5309],{"class":5308},[5302,7405,5313],{"class":5312},[5302,7407,5316],{"class":5308},[5302,7409,5319],{"class":5312},[5302,7411,7412,7414,7416,7418],{"class":5304,"line":5322},[5302,7413,5309],{"class":5308},[5302,7415,5327],{"class":5312},[5302,7417,5316],{"class":5308},[5302,7419,5332],{"class":5312},[5302,7421,7422],{"class":5304,"line":5335},[5302,7423,5339],{"emptyLinePlaceholder":5338},[5302,7425,7426,7428,7430],{"class":5304,"line":5342},[5302,7427,5352],{"class":5312},[5302,7429,5356],{"class":5355},[5302,7431,5359],{"class":5312},[5302,7433,7434,7437,7439,7441,7443,7445,7447,7449,7452,7454,7457],{"class":5304,"line":5349},[5302,7435,7436],{"class":5312},"fig, axes = plt.subplots(",[5302,7438,5702],{"class":5355},[5302,7440,5371],{"class":5312},[5302,7442,5702],{"class":5355},[5302,7444,5371],{"class":5312},[5302,7446,5457],{"class":5456},[5302,7448,5460],{"class":5312},[5302,7450,7451],{"class":5355},"13",[5302,7453,5371],{"class":5312},[5302,7455,7456],{"class":5355},"9.5",[5302,7458,5471],{"class":5312},[5302,7460,7461],{"class":5304,"line":5362},[5302,7462,5339],{"emptyLinePlaceholder":5338},[5302,7464,7465],{"class":5304,"line":5384},[5302,7466,7467],{"class":5345},"# 1. Параметр s: малі, середні та великі маркери\n",[5302,7469,7470,7473,7475,7477,7479,7481,7484],{"class":5304,"line":5416},[5302,7471,7472],{"class":5312},"x_s = np.linspace(",[5302,7474,5289],{"class":5355},[5302,7476,5371],{"class":5312},[5302,7478,5368],{"class":5355},[5302,7480,5371],{"class":5312},[5302,7482,7483],{"class":5355},"20",[5302,7485,5359],{"class":5312},[5302,7487,7488,7491,7493,7496,7498,7500,7502,7504,7506],{"class":5304,"line":5421},[5302,7489,7490],{"class":5312},"y_s = ",[5302,7492,5702],{"class":5355},[5302,7494,7495],{"class":5312}," * x_s + rng.normal(",[5302,7497,5402],{"class":5355},[5302,7499,5371],{"class":5312},[5302,7501,5289],{"class":5355},[5302,7503,5371],{"class":5312},[5302,7505,7483],{"class":5355},[5302,7507,5359],{"class":5312},[5302,7509,7510,7513,7515,7517,7519,7522,7524,7527,7529,7532,7534,7536,7538,7540,7542,7544,7547,7549,7551,7553,7556],{"class":5304,"line":5427},[5302,7511,7512],{"class":5312},"axes[",[5302,7514,5402],{"class":5355},[5302,7516,5371],{"class":5312},[5302,7518,5402],{"class":5355},[5302,7520,7521],{"class":5312},"].scatter(x_s[:",[5302,7523,5559],{"class":5355},[5302,7525,7526],{"class":5312},"], y_s[:",[5302,7528,5559],{"class":5355},[5302,7530,7531],{"class":5312},"], ",[5302,7533,5492],{"class":5456},[5302,7535,5483],{"class":5312},[5302,7537,5390],{"class":5355},[5302,7539,5371],{"class":5312},[5302,7541,5480],{"class":5456},[5302,7543,5483],{"class":5312},[5302,7545,7546],{"class":5486},"'#0284c7'",[5302,7548,5371],{"class":5312},[5302,7550,5625],{"class":5456},[5302,7552,5483],{"class":5312},[5302,7554,7555],{"class":5486},"\"s = 25 (малі)\"",[5302,7557,5359],{"class":5312},[5302,7559,7560,7562,7564,7566,7568,7571,7573,7575,7577,7580,7582,7584,7586,7588,7590,7592,7595,7597,7599,7601,7604,7606,7608,7610,7613,7615,7617,7619,7621,7623,7625,7627,7630],{"class":5304,"line":5433},[5302,7561,7512],{"class":5312},[5302,7563,5402],{"class":5355},[5302,7565,5371],{"class":5312},[5302,7567,5402],{"class":5355},[5302,7569,7570],{"class":5312},"].scatter(x_s[",[5302,7572,5559],{"class":5355},[5302,7574,6012],{"class":5312},[5302,7576,6211],{"class":5355},[5302,7578,7579],{"class":5312},"], y_s[",[5302,7581,5559],{"class":5355},[5302,7583,6012],{"class":5312},[5302,7585,6211],{"class":5355},[5302,7587,7531],{"class":5312},[5302,7589,5492],{"class":5456},[5302,7591,5483],{"class":5312},[5302,7593,7594],{"class":5355},"90",[5302,7596,5371],{"class":5312},[5302,7598,5480],{"class":5456},[5302,7600,5483],{"class":5312},[5302,7602,7603],{"class":5486},"'#0ea5e9'",[5302,7605,5371],{"class":5312},[5302,7607,5878],{"class":5456},[5302,7609,5483],{"class":5312},[5302,7611,7612],{"class":5486},"'#0369a1'",[5302,7614,5371],{"class":5312},[5302,7616,5606],{"class":5456},[5302,7618,5483],{"class":5312},[5302,7620,5289],{"class":5355},[5302,7622,5371],{"class":5312},[5302,7624,5625],{"class":5456},[5302,7626,5483],{"class":5312},[5302,7628,7629],{"class":5486},"\"s = 90 (середні)\"",[5302,7631,5359],{"class":5312},[5302,7633,7634,7636,7638,7640,7642,7644,7646,7649,7651,7654,7656,7658,7661,7663,7665,7667,7670,7672,7674,7676,7678,7680,7682,7684,7686,7688,7690,7692,7695,7697,7699,7701,7704],{"class":5304,"line":5439},[5302,7635,7512],{"class":5312},[5302,7637,5402],{"class":5355},[5302,7639,5371],{"class":5312},[5302,7641,5402],{"class":5355},[5302,7643,7570],{"class":5312},[5302,7645,6211],{"class":5355},[5302,7647,7648],{"class":5312},":], y_s[",[5302,7650,6211],{"class":5355},[5302,7652,7653],{"class":5312},":], ",[5302,7655,5492],{"class":5456},[5302,7657,5483],{"class":5312},[5302,7659,7660],{"class":5355},"220",[5302,7662,5371],{"class":5312},[5302,7664,5480],{"class":5456},[5302,7666,5483],{"class":5312},[5302,7668,7669],{"class":5486},"'#38bdf8'",[5302,7671,5371],{"class":5312},[5302,7673,5878],{"class":5456},[5302,7675,5483],{"class":5312},[5302,7677,7546],{"class":5486},[5302,7679,5371],{"class":5312},[5302,7681,5606],{"class":5456},[5302,7683,5483],{"class":5312},[5302,7685,6673],{"class":5355},[5302,7687,5371],{"class":5312},[5302,7689,5615],{"class":5456},[5302,7691,5483],{"class":5312},[5302,7693,7694],{"class":5355},"0.8",[5302,7696,5371],{"class":5312},[5302,7698,5625],{"class":5456},[5302,7700,5483],{"class":5312},[5302,7702,7703],{"class":5486},"\"s = 220 (великі)\"",[5302,7705,5359],{"class":5312},[5302,7707,7708,7710,7712,7714,7716,7719,7722,7724,7726,7728,7730],{"class":5304,"line":5444},[5302,7709,7512],{"class":5312},[5302,7711,5402],{"class":5355},[5302,7713,5371],{"class":5312},[5302,7715,5402],{"class":5355},[5302,7717,7718],{"class":5312},"].set_title(",[5302,7720,7721],{"class":5486},"\"Параметр s: фіксований або змінний розмір\"",[5302,7723,5371],{"class":5312},[5302,7725,5780],{"class":5456},[5302,7727,5483],{"class":5312},[5302,7729,5785],{"class":5486},[5302,7731,5359],{"class":5312},[5302,7733,7734,7736,7738,7740,7742],{"class":5304,"line":5450},[5302,7735,7512],{"class":5312},[5302,7737,5402],{"class":5355},[5302,7739,5371],{"class":5312},[5302,7741,5402],{"class":5355},[5302,7743,7744],{"class":5312},"].legend()\n",[5302,7746,7747,7749,7751,7753,7755,7758,7760,7762,7764,7766,7768,7770,7772,7774,7776],{"class":5304,"line":5474},[5302,7748,7512],{"class":5312},[5302,7750,5402],{"class":5355},[5302,7752,5371],{"class":5312},[5302,7754,5402],{"class":5355},[5302,7756,7757],{"class":5312},"].grid(",[5302,7759,5830],{"class":5716},[5302,7761,5371],{"class":5312},[5302,7763,5688],{"class":5456},[5302,7765,5483],{"class":5312},[5302,7767,5839],{"class":5486},[5302,7769,5371],{"class":5312},[5302,7771,5615],{"class":5456},[5302,7773,5483],{"class":5312},[5302,7775,5848],{"class":5355},[5302,7777,5359],{"class":5312},[5302,7779,7780],{"class":5304,"line":5501},[5302,7781,5339],{"emptyLinePlaceholder":5338},[5302,7783,7784],{"class":5304,"line":5512},[5302,7785,7786],{"class":5345},"# 2. Параметр marker: спектр геометричних форм\n",[5302,7788,7789,7792,7794,7796,7799,7802,7804,7806,7809,7811,7813,7815,7818],{"class":5304,"line":5523},[5302,7790,7791],{"class":5312},"markers = [(",[5302,7793,7214],{"class":5486},[5302,7795,5371],{"class":5312},[5302,7797,7798],{"class":5486},"'Коло \"o\"'",[5302,7800,7801],{"class":5312},"), (",[5302,7803,7224],{"class":5486},[5302,7805,5371],{"class":5312},[5302,7807,7808],{"class":5486},"'Квадрат \"s\"'",[5302,7810,7801],{"class":5312},[5302,7812,7228],{"class":5486},[5302,7814,5371],{"class":5312},[5302,7816,7817],{"class":5486},"'Трикутник \"^\"'",[5302,7819,7820],{"class":5312},"), \n",[5302,7822,7823,7826,7828,7830,7833,7835,7837,7839,7842,7844,7846,7848,7851],{"class":5304,"line":5534},[5302,7824,7825],{"class":5312},"           (",[5302,7827,7232],{"class":5486},[5302,7829,5371],{"class":5312},[5302,7831,7832],{"class":5486},"'Ромб \"D\"'",[5302,7834,7801],{"class":5312},[5302,7836,7236],{"class":5486},[5302,7838,5371],{"class":5312},[5302,7840,7841],{"class":5486},"'Хрестик \"X\"'",[5302,7843,7801],{"class":5312},[5302,7845,7240],{"class":5486},[5302,7847,5371],{"class":5312},[5302,7849,7850],{"class":5486},"'Зірка \"*\"'",[5302,7852,7853],{"class":5312},")]\n",[5302,7855,7856,7859,7862,7865,7869],{"class":5304,"line":5539},[5302,7857,7858],{"class":5308},"for",[5302,7860,7861],{"class":5312}," i, (m, lbl) ",[5302,7863,7864],{"class":5308},"in",[5302,7866,7868],{"class":7867},"s8Opu"," enumerate",[5302,7870,7871],{"class":5312},"(markers):\n",[5302,7873,7874,7877,7879,7881,7883,7885,7887,7890,7893,7895,7897,7899,7901],{"class":5304,"line":5544},[5302,7875,7876],{"class":5312},"    xm = np.linspace(",[5302,7878,5289],{"class":5355},[5302,7880,5371],{"class":5312},[5302,7882,5368],{"class":5355},[5302,7884,5371],{"class":5312},[5302,7886,5463],{"class":5355},[5302,7888,7889],{"class":5312},") + rng.uniform(-",[5302,7891,7892],{"class":5355},"0.15",[5302,7894,5371],{"class":5312},[5302,7896,7892],{"class":5355},[5302,7898,5371],{"class":5312},[5302,7900,5463],{"class":5355},[5302,7902,5359],{"class":5312},[5302,7904,7905,7908,7910,7913,7915,7917,7920,7922,7924,7926,7928],{"class":5304,"line":5550},[5302,7906,7907],{"class":5312},"    ym = np.full(",[5302,7909,5463],{"class":5355},[5302,7911,7912],{"class":5312},", i + ",[5302,7914,5289],{"class":5355},[5302,7916,7889],{"class":5312},[5302,7918,7919],{"class":5355},"0.1",[5302,7921,5371],{"class":5312},[5302,7923,7919],{"class":5355},[5302,7925,5371],{"class":5312},[5302,7927,5463],{"class":5355},[5302,7929,5359],{"class":5312},[5302,7931,7932,7935,7937,7939,7941,7944,7946,7949,7951,7953,7956,7958,7960,7962,7965,7967,7969,7971,7974,7976,7978,7980,7982],{"class":5304,"line":5569},[5302,7933,7934],{"class":5312},"    axes[",[5302,7936,5402],{"class":5355},[5302,7938,5371],{"class":5312},[5302,7940,5289],{"class":5355},[5302,7942,7943],{"class":5312},"].scatter(xm, ym, ",[5302,7945,7204],{"class":5456},[5302,7947,7948],{"class":5312},"=m, ",[5302,7950,5492],{"class":5456},[5302,7952,5483],{"class":5312},[5302,7954,7955],{"class":5355},"110",[5302,7957,5371],{"class":5312},[5302,7959,5480],{"class":5456},[5302,7961,5483],{"class":5312},[5302,7963,7964],{"class":5486},"'#8b5cf6'",[5302,7966,5371],{"class":5312},[5302,7968,5878],{"class":5456},[5302,7970,5483],{"class":5312},[5302,7972,7973],{"class":5486},"'#4c1d95'",[5302,7975,5371],{"class":5312},[5302,7977,5606],{"class":5456},[5302,7979,5483],{"class":5312},[5302,7981,5289],{"class":5355},[5302,7983,5359],{"class":5312},[5302,7985,7986,7988,7990,7992,7994,7997,8000,8003,8005,8007,8009],{"class":5304,"line":5593},[5302,7987,7512],{"class":5312},[5302,7989,5402],{"class":5355},[5302,7991,5371],{"class":5312},[5302,7993,5289],{"class":5355},[5302,7995,7996],{"class":5312},"].set_yticks(",[5302,7998,7999],{"class":7867},"range",[5302,8001,8002],{"class":5312},"(",[5302,8004,5289],{"class":5355},[5302,8006,5371],{"class":5312},[5302,8008,5559],{"class":5355},[5302,8010,5471],{"class":5312},[5302,8012,8013,8015,8017,8019,8021,8024,8026,8029,8031,8034,8036],{"class":5304,"line":5635},[5302,8014,7512],{"class":5312},[5302,8016,5402],{"class":5355},[5302,8018,5371],{"class":5312},[5302,8020,5289],{"class":5355},[5302,8022,8023],{"class":5312},"].set_yticklabels([m[",[5302,8025,5289],{"class":5355},[5302,8027,8028],{"class":5312},"] ",[5302,8030,7858],{"class":5308},[5302,8032,8033],{"class":5312}," m ",[5302,8035,7864],{"class":5308},[5302,8037,8038],{"class":5312}," markers])\n",[5302,8040,8041,8043,8045,8047,8049,8051,8054,8056,8058,8060,8062],{"class":5304,"line":5640},[5302,8042,7512],{"class":5312},[5302,8044,5402],{"class":5355},[5302,8046,5371],{"class":5312},[5302,8048,5289],{"class":5355},[5302,8050,7718],{"class":5312},[5302,8052,8053],{"class":5486},"\"Параметр marker: форма точок\"",[5302,8055,5371],{"class":5312},[5302,8057,5780],{"class":5456},[5302,8059,5483],{"class":5312},[5302,8061,5785],{"class":5486},[5302,8063,5359],{"class":5312},[5302,8065,8066,8068,8070,8072,8074,8076,8078,8080,8082,8084,8086,8088,8090,8092,8094],{"class":5304,"line":5646},[5302,8067,7512],{"class":5312},[5302,8069,5402],{"class":5355},[5302,8071,5371],{"class":5312},[5302,8073,5289],{"class":5355},[5302,8075,7757],{"class":5312},[5302,8077,5830],{"class":5716},[5302,8079,5371],{"class":5312},[5302,8081,5688],{"class":5456},[5302,8083,5483],{"class":5312},[5302,8085,5839],{"class":5486},[5302,8087,5371],{"class":5312},[5302,8089,5615],{"class":5456},[5302,8091,5483],{"class":5312},[5302,8093,5848],{"class":5355},[5302,8095,5359],{"class":5312},[5302,8097,8098],{"class":5304,"line":5656},[5302,8099,5339],{"emptyLinePlaceholder":5338},[5302,8101,8102],{"class":5304,"line":5662},[5302,8103,8104],{"class":5345},"# 3. Параметри alpha та edgecolors: читабельність скупчень\n",[5302,8106,8107,8110,8112,8114,8117,8119,8122],{"class":5304,"line":5673},[5302,8108,8109],{"class":5312},"x_c = rng.normal(",[5302,8111,6585],{"class":5355},[5302,8113,5371],{"class":5312},[5302,8115,8116],{"class":5355},"1.2",[5302,8118,5371],{"class":5312},[5302,8120,8121],{"class":5355},"120",[5302,8123,5359],{"class":5312},[5302,8125,8126,8129,8131,8133,8135,8137,8139],{"class":5304,"line":5708},[5302,8127,8128],{"class":5312},"y_c = rng.normal(",[5302,8130,6585],{"class":5355},[5302,8132,5371],{"class":5312},[5302,8134,8116],{"class":5355},[5302,8136,5371],{"class":5312},[5302,8138,8121],{"class":5355},[5302,8140,5359],{"class":5312},[5302,8142,8143,8145,8147,8149,8151,8154,8156,8159,8161,8163,8165,8167,8169,8171,8173,8175,8177,8179,8182,8184,8186,8188,8191,8193,8195,8197,8200],{"class":5304,"line":5756},[5302,8144,7512],{"class":5312},[5302,8146,5289],{"class":5355},[5302,8148,5371],{"class":5312},[5302,8150,5402],{"class":5355},[5302,8152,8153],{"class":5312},"].scatter(x_c - ",[5302,8155,6673],{"class":5355},[5302,8157,8158],{"class":5312},", y_c, ",[5302,8160,5492],{"class":5456},[5302,8162,5483],{"class":5312},[5302,8164,7955],{"class":5355},[5302,8166,5371],{"class":5312},[5302,8168,5480],{"class":5456},[5302,8170,5483],{"class":5312},[5302,8172,5683],{"class":5486},[5302,8174,5371],{"class":5312},[5302,8176,5615],{"class":5456},[5302,8178,5483],{"class":5312},[5302,8180,8181],{"class":5355},"1.0",[5302,8183,5371],{"class":5312},[5302,8185,5878],{"class":5456},[5302,8187,5483],{"class":5312},[5302,8189,8190],{"class":5486},"'none'",[5302,8192,5371],{"class":5312},[5302,8194,5625],{"class":5456},[5302,8196,5483],{"class":5312},[5302,8198,8199],{"class":5486},"\"alpha=1.0 (злипання)\"",[5302,8201,5359],{"class":5312},[5302,8203,8204,8206,8208,8210,8212,8215,8217,8219,8221,8223,8225,8227,8229,8231,8234,8236,8238,8240,8243,8245,8247,8249,8252,8254,8256,8258,8260,8262,8264,8266,8269],{"class":5304,"line":5761},[5302,8205,7512],{"class":5312},[5302,8207,5289],{"class":5355},[5302,8209,5371],{"class":5312},[5302,8211,5402],{"class":5355},[5302,8213,8214],{"class":5312},"].scatter(x_c + ",[5302,8216,6673],{"class":5355},[5302,8218,8158],{"class":5312},[5302,8220,5492],{"class":5456},[5302,8222,5483],{"class":5312},[5302,8224,7955],{"class":5355},[5302,8226,5371],{"class":5312},[5302,8228,5480],{"class":5456},[5302,8230,5483],{"class":5312},[5302,8232,8233],{"class":5486},"'#10b981'",[5302,8235,5371],{"class":5312},[5302,8237,5615],{"class":5456},[5302,8239,5483],{"class":5312},[5302,8241,8242],{"class":5355},"0.45",[5302,8244,5371],{"class":5312},[5302,8246,5878],{"class":5456},[5302,8248,5483],{"class":5312},[5302,8250,8251],{"class":5486},"'#064e3b'",[5302,8253,5371],{"class":5312},[5302,8255,5606],{"class":5456},[5302,8257,5483],{"class":5312},[5302,8259,6673],{"class":5355},[5302,8261,5371],{"class":5312},[5302,8263,5625],{"class":5456},[5302,8265,5483],{"class":5312},[5302,8267,8268],{"class":5486},"\"alpha=0.45 + контур\"",[5302,8270,5359],{"class":5312},[5302,8272,8273,8275,8277,8279,8281,8283,8286,8288,8290,8292,8294],{"class":5304,"line":5790},[5302,8274,7512],{"class":5312},[5302,8276,5289],{"class":5355},[5302,8278,5371],{"class":5312},[5302,8280,5402],{"class":5355},[5302,8282,7718],{"class":5312},[5302,8284,8285],{"class":5486},"\"Параметри alpha та edgecolors: розрізнення густини\"",[5302,8287,5371],{"class":5312},[5302,8289,5780],{"class":5456},[5302,8291,5483],{"class":5312},[5302,8293,5785],{"class":5486},[5302,8295,5359],{"class":5312},[5302,8297,8298,8300,8302,8304,8306,8309,8312,8314,8317],{"class":5304,"line":5807},[5302,8299,7512],{"class":5312},[5302,8301,5289],{"class":5355},[5302,8303,5371],{"class":5312},[5302,8305,5402],{"class":5355},[5302,8307,8308],{"class":5312},"].legend(",[5302,8310,8311],{"class":5456},"loc",[5302,8313,5483],{"class":5312},[5302,8315,8316],{"class":5486},"'upper left'",[5302,8318,5359],{"class":5312},[5302,8320,8321,8323,8325,8327,8329,8331,8333,8335,8337,8339,8341,8343,8345,8347,8349],{"class":5304,"line":5824},[5302,8322,7512],{"class":5312},[5302,8324,5289],{"class":5355},[5302,8326,5371],{"class":5312},[5302,8328,5402],{"class":5355},[5302,8330,7757],{"class":5312},[5302,8332,5830],{"class":5716},[5302,8334,5371],{"class":5312},[5302,8336,5688],{"class":5456},[5302,8338,5483],{"class":5312},[5302,8340,5839],{"class":5486},[5302,8342,5371],{"class":5312},[5302,8344,5615],{"class":5456},[5302,8346,5483],{"class":5312},[5302,8348,5848],{"class":5355},[5302,8350,5359],{"class":5312},[5302,8352,8353],{"class":5304,"line":5853},[5302,8354,5339],{"emptyLinePlaceholder":5338},[5302,8356,8357],{"class":5304,"line":5888},[5302,8358,8359],{"class":5345},"# 4. Параметри c та cmap: відображення третього виміру\n",[5302,8361,8363,8366,8368,8370,8372,8374,8377],{"class":5304,"line":8362},39,[5302,8364,8365],{"class":5312},"x_d = rng.uniform(",[5302,8367,5402],{"class":5355},[5302,8369,5371],{"class":5312},[5302,8371,5368],{"class":5355},[5302,8373,5371],{"class":5312},[5302,8375,8376],{"class":5355},"60",[5302,8378,5359],{"class":5312},[5302,8380,8382,8385,8387,8390,8392,8394,8396,8398,8400],{"class":5304,"line":8381},40,[5302,8383,8384],{"class":5312},"y_d = ",[5302,8386,6673],{"class":5355},[5302,8388,8389],{"class":5312}," * x_d + rng.normal(",[5302,8391,5402],{"class":5355},[5302,8393,5371],{"class":5312},[5302,8395,5702],{"class":5355},[5302,8397,5371],{"class":5312},[5302,8399,8376],{"class":5355},[5302,8401,5359],{"class":5312},[5302,8403,8405,8408,8411],{"class":5304,"line":8404},41,[5302,8406,8407],{"class":5312},"c_vals = x_d * ",[5302,8409,8410],{"class":5355},"2.5",[5302,8412,8413],{"class":5312}," + y_d\n",[5302,8415,8417,8420,8422,8424,8426,8429,8431,8434,8436,8438,8440,8442,8444,8446,8449,8451,8453,8455,8458,8460,8462,8464,8467,8469,8471,8473,8476],{"class":5304,"line":8416},42,[5302,8418,8419],{"class":5312},"sc = axes[",[5302,8421,5289],{"class":5355},[5302,8423,5371],{"class":5312},[5302,8425,5289],{"class":5355},[5302,8427,8428],{"class":5312},"].scatter(x_d, y_d, ",[5302,8430,7182],{"class":5456},[5302,8432,8433],{"class":5312},"=c_vals, ",[5302,8435,7197],{"class":5456},[5302,8437,5483],{"class":5312},[5302,8439,7263],{"class":5486},[5302,8441,5371],{"class":5312},[5302,8443,5492],{"class":5456},[5302,8445,5483],{"class":5312},[5302,8447,8448],{"class":5355},"85",[5302,8450,5371],{"class":5312},[5302,8452,5878],{"class":5456},[5302,8454,5483],{"class":5312},[5302,8456,8457],{"class":5486},"'black'",[5302,8459,5371],{"class":5312},[5302,8461,5606],{"class":5456},[5302,8463,5483],{"class":5312},[5302,8465,8466],{"class":5355},"0.5",[5302,8468,5371],{"class":5312},[5302,8470,5615],{"class":5456},[5302,8472,5483],{"class":5312},[5302,8474,8475],{"class":5355},"0.9",[5302,8477,5359],{"class":5312},[5302,8479,8481,8484,8487,8490,8492,8494,8496,8498,8501,8503,8506,8508,8511,8513,8516],{"class":5304,"line":8480},43,[5302,8482,8483],{"class":5312},"cbar = fig.colorbar(sc, ",[5302,8485,8486],{"class":5456},"ax",[5302,8488,8489],{"class":5312},"=axes[",[5302,8491,5289],{"class":5355},[5302,8493,5371],{"class":5312},[5302,8495,5289],{"class":5355},[5302,8497,7531],{"class":5312},[5302,8499,8500],{"class":5456},"fraction",[5302,8502,5483],{"class":5312},[5302,8504,8505],{"class":5355},"0.046",[5302,8507,5371],{"class":5312},[5302,8509,8510],{"class":5456},"pad",[5302,8512,5483],{"class":5312},[5302,8514,8515],{"class":5355},"0.04",[5302,8517,5359],{"class":5312},[5302,8519,8521,8524,8527],{"class":5304,"line":8520},44,[5302,8522,8523],{"class":5312},"cbar.set_label(",[5302,8525,8526],{"class":5486},"\"Значення метрики (c)\"",[5302,8528,5359],{"class":5312},[5302,8530,8532,8534,8536,8538,8540,8542,8545,8547,8549,8551,8553],{"class":5304,"line":8531},45,[5302,8533,7512],{"class":5312},[5302,8535,5289],{"class":5355},[5302,8537,5371],{"class":5312},[5302,8539,5289],{"class":5355},[5302,8541,7718],{"class":5312},[5302,8543,8544],{"class":5486},"\"Параметри c та cmap: числовий колірний градієнт\"",[5302,8546,5371],{"class":5312},[5302,8548,5780],{"class":5456},[5302,8550,5483],{"class":5312},[5302,8552,5785],{"class":5486},[5302,8554,5359],{"class":5312},[5302,8556,8558,8560,8562,8564,8566,8568,8570,8572,8574,8576,8578,8580,8582,8584,8586],{"class":5304,"line":8557},46,[5302,8559,7512],{"class":5312},[5302,8561,5289],{"class":5355},[5302,8563,5371],{"class":5312},[5302,8565,5289],{"class":5355},[5302,8567,7757],{"class":5312},[5302,8569,5830],{"class":5716},[5302,8571,5371],{"class":5312},[5302,8573,5688],{"class":5456},[5302,8575,5483],{"class":5312},[5302,8577,5839],{"class":5486},[5302,8579,5371],{"class":5312},[5302,8581,5615],{"class":5456},[5302,8583,5483],{"class":5312},[5302,8585,5848],{"class":5355},[5302,8587,5359],{"class":5312},[5302,8589,8591],{"class":5304,"line":8590},47,[5302,8592,5339],{"emptyLinePlaceholder":5338},[5302,8594,8596],{"class":5304,"line":8595},48,[5302,8597,6390],{"class":5312},[5302,8599,8601],{"class":5304,"line":8600},49,[5302,8602,5436],{"class":5312},[5892,8604,8605],{"v-slot:output":5297},[5895,8606],{"alt":8607,"className":8608,"src":8609},"Анатомія та параметри ax.scatter",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F14.png",[5247,8611],{},[5250,8613,8615],{"id":8614},"види-кореляцій-та-їх-візуалізація","Види кореляцій та їх візуалізація",[5255,8617,8618,8619,8622],{},"Scatter plot одразу показує ",[5224,8620,8621],{},"тип зв'язку"," між змінними.",[5271,8624,8626,8632],{"title":8625},"correlation_types.ipynb",[5276,8627,8628],{"type":5278},[5280,8629,8631],{"id":8630},"чотири-типи-залежностей","Чотири типи залежностей",[5276,8633,8634,9615],{"execution-count":5289},[5292,8635,8637],{"className":5294,"code":8636,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(seed=42)\n\nfig, axes = plt.subplots(2, 2, figsize=(14, 10))\nfig.suptitle(\"Типи кореляцій та їх візуалізація\", fontsize=16, fontweight=\"bold\")\n\n# 1. Сильна позитивна кореляція (r ≈ +0.95)\nx1 = np.linspace(0, 10, 100)\ny1 = 2 * x1 + 3 + rng.normal(0, 1, 100)\nr1 = np.corrcoef(x1, y1)[0, 1]\naxes[0, 0].scatter(x1, y1, alpha=0.6, color=\"green\", s=60)\naxes[0, 0].set_title(f\"Сильна позитивна кореляція\\nr = {r1:.2f}\", \n                     fontsize=12, fontweight=\"bold\", color=\"darkgreen\")\naxes[0, 0].set_xlabel(\"Змінна X\")\naxes[0, 0].set_ylabel(\"Змінна Y\")\naxes[0, 0].grid(True, alpha=0.3)\n\n# 2. Сильна негативна кореляція (r ≈ −0.92)\nx2 = np.linspace(0, 10, 100)\ny2 = 50 - 3 * x2 + rng.normal(0, 1.5, 100)\nr2 = np.corrcoef(x2, y2)[0, 1]\naxes[0, 1].scatter(x2, y2, alpha=0.6, color=\"red\", s=60)\naxes[0, 1].set_title(f\"Сильна негативна кореляція\\nr = {r2:.2f}\", \n                     fontsize=12, fontweight=\"bold\", color=\"darkred\")\naxes[0, 1].set_xlabel(\"Змінна X\")\naxes[0, 1].set_ylabel(\"Змінна Y\")\naxes[0, 1].grid(True, alpha=0.3)\n\n# 3. Слабка кореляція (r ≈ +0.3)\nx3 = rng.uniform(0, 10, 100)\ny3 = 0.5 * x3 + rng.normal(0, 4, 100)\nr3 = np.corrcoef(x3, y3)[0, 1]\naxes[1, 0].scatter(x3, y3, alpha=0.6, color=\"orange\", s=60)\naxes[1, 0].set_title(f\"Слабка позитивна кореляція\\nr = {r3:.2f}\", \n                     fontsize=12, fontweight=\"bold\", color=\"darkorange\")\naxes[1, 0].set_xlabel(\"Змінна X\")\naxes[1, 0].set_ylabel(\"Змінна Y\")\naxes[1, 0].grid(True, alpha=0.3)\n\n# 4. Немає кореляції (r ≈ 0)\nx4 = rng.uniform(0, 10, 100)\ny4 = rng.uniform(0, 10, 100)\nr4 = np.corrcoef(x4, y4)[0, 1]\naxes[1, 1].scatter(x4, y4, alpha=0.6, color=\"gray\", s=60)\naxes[1, 1].set_title(f\"Немає лінійної кореляції\\nr = {r4:.2f}\", \n                     fontsize=12, fontweight=\"bold\", color=\"black\")\naxes[1, 1].set_xlabel(\"Змінна X\")\naxes[1, 1].set_ylabel(\"Змінна Y\")\naxes[1, 1].grid(True, alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5299,8638,8639,8649,8659,8663,8675,8679,8703,8730,8734,8739,8756,8784,8798,8836,8871,8899,8917,8935,8959,8963,8968,8985,9012,9025,9062,9094,9120,9136,9152,9176,9180,9185,9202,9224,9237,9275,9307,9334,9350,9366,9390,9394,9399,9416,9433,9446,9484,9516,9542,9558,9575,9600,9605,9610],{"__ignoreMap":5297},[5302,8640,8641,8643,8645,8647],{"class":5304,"line":5305},[5302,8642,5309],{"class":5308},[5302,8644,5313],{"class":5312},[5302,8646,5316],{"class":5308},[5302,8648,5319],{"class":5312},[5302,8650,8651,8653,8655,8657],{"class":5304,"line":5322},[5302,8652,5309],{"class":5308},[5302,8654,5327],{"class":5312},[5302,8656,5316],{"class":5308},[5302,8658,5332],{"class":5312},[5302,8660,8661],{"class":5304,"line":5335},[5302,8662,5339],{"emptyLinePlaceholder":5338},[5302,8664,8665,8667,8669,8671,8673],{"class":5304,"line":5342},[5302,8666,5352],{"class":5312},[5302,8668,6068],{"class":5456},[5302,8670,5483],{"class":5312},[5302,8672,5356],{"class":5355},[5302,8674,5359],{"class":5312},[5302,8676,8677],{"class":5304,"line":5349},[5302,8678,5339],{"emptyLinePlaceholder":5338},[5302,8680,8681,8683,8685,8687,8689,8691,8693,8695,8697,8699,8701],{"class":5304,"line":5362},[5302,8682,7436],{"class":5312},[5302,8684,5702],{"class":5355},[5302,8686,5371],{"class":5312},[5302,8688,5702],{"class":5355},[5302,8690,5371],{"class":5312},[5302,8692,5457],{"class":5456},[5302,8694,5460],{"class":5312},[5302,8696,6211],{"class":5355},[5302,8698,5371],{"class":5312},[5302,8700,5368],{"class":5355},[5302,8702,5471],{"class":5312},[5302,8704,8705,8708,8711,8713,8715,8717,8720,8722,8724,8726,8728],{"class":5304,"line":5384},[5302,8706,8707],{"class":5312},"fig.suptitle(",[5302,8709,8710],{"class":5486},"\"Типи кореляцій та їх візуалізація\"",[5302,8712,5371],{"class":5312},[5302,8714,5771],{"class":5456},[5302,8716,5483],{"class":5312},[5302,8718,8719],{"class":5355},"16",[5302,8721,5371],{"class":5312},[5302,8723,5780],{"class":5456},[5302,8725,5483],{"class":5312},[5302,8727,6220],{"class":5486},[5302,8729,5359],{"class":5312},[5302,8731,8732],{"class":5304,"line":5416},[5302,8733,5339],{"emptyLinePlaceholder":5338},[5302,8735,8736],{"class":5304,"line":5421},[5302,8737,8738],{"class":5345},"# 1. Сильна позитивна кореляція (r ≈ +0.95)\n",[5302,8740,8741,8744,8746,8748,8750,8752,8754],{"class":5304,"line":5427},[5302,8742,8743],{"class":5312},"x1 = np.linspace(",[5302,8745,5402],{"class":5355},[5302,8747,5371],{"class":5312},[5302,8749,5368],{"class":5355},[5302,8751,5371],{"class":5312},[5302,8753,5668],{"class":5355},[5302,8755,5359],{"class":5312},[5302,8757,8758,8761,8763,8766,8769,8772,8774,8776,8778,8780,8782],{"class":5304,"line":5433},[5302,8759,8760],{"class":5312},"y1 = ",[5302,8762,5702],{"class":5355},[5302,8764,8765],{"class":5312}," * x1 + ",[5302,8767,8768],{"class":5355},"3",[5302,8770,8771],{"class":5312}," + rng.normal(",[5302,8773,5402],{"class":5355},[5302,8775,5371],{"class":5312},[5302,8777,5289],{"class":5355},[5302,8779,5371],{"class":5312},[5302,8781,5668],{"class":5355},[5302,8783,5359],{"class":5312},[5302,8785,8786,8789,8791,8793,8795],{"class":5304,"line":5439},[5302,8787,8788],{"class":5312},"r1 = np.corrcoef(x1, y1)[",[5302,8790,5402],{"class":5355},[5302,8792,5371],{"class":5312},[5302,8794,5289],{"class":5355},[5302,8796,8797],{"class":5312},"]\n",[5302,8799,8800,8802,8804,8806,8808,8811,8813,8815,8817,8819,8821,8823,8826,8828,8830,8832,8834],{"class":5304,"line":5444},[5302,8801,7512],{"class":5312},[5302,8803,5402],{"class":5355},[5302,8805,5371],{"class":5312},[5302,8807,5402],{"class":5355},[5302,8809,8810],{"class":5312},"].scatter(x1, y1, ",[5302,8812,5615],{"class":5456},[5302,8814,5483],{"class":5312},[5302,8816,5848],{"class":5355},[5302,8818,5371],{"class":5312},[5302,8820,5480],{"class":5456},[5302,8822,5483],{"class":5312},[5302,8824,8825],{"class":5486},"\"green\"",[5302,8827,5371],{"class":5312},[5302,8829,5492],{"class":5456},[5302,8831,5483],{"class":5312},[5302,8833,8376],{"class":5355},[5302,8835,5359],{"class":5312},[5302,8837,8838,8840,8842,8844,8846,8848,8850,8853,8857,8860,8862,8865,8867,8869],{"class":5304,"line":5450},[5302,8839,7512],{"class":5312},[5302,8841,5402],{"class":5355},[5302,8843,5371],{"class":5312},[5302,8845,5402],{"class":5355},[5302,8847,7718],{"class":5312},[5302,8849,5717],{"class":5716},[5302,8851,8852],{"class":5486},"\"Сильна позитивна кореляція",[5302,8854,8856],{"class":8855},"sjcCO","\\n",[5302,8858,8859],{"class":5486},"r = ",[5302,8861,5723],{"class":5716},[5302,8863,8864],{"class":5312},"r1",[5302,8866,5734],{"class":5716},[5302,8868,5751],{"class":5486},[5302,8870,5590],{"class":5312},[5302,8872,8873,8876,8878,8880,8882,8884,8886,8888,8890,8892,8894,8897],{"class":5304,"line":5474},[5302,8874,8875],{"class":5456},"                     fontsize",[5302,8877,5483],{"class":5312},[5302,8879,5407],{"class":5355},[5302,8881,5371],{"class":5312},[5302,8883,5780],{"class":5456},[5302,8885,5483],{"class":5312},[5302,8887,6220],{"class":5486},[5302,8889,5371],{"class":5312},[5302,8891,5480],{"class":5456},[5302,8893,5483],{"class":5312},[5302,8895,8896],{"class":5486},"\"darkgreen\"",[5302,8898,5359],{"class":5312},[5302,8900,8901,8903,8905,8907,8909,8912,8915],{"class":5304,"line":5501},[5302,8902,7512],{"class":5312},[5302,8904,5402],{"class":5355},[5302,8906,5371],{"class":5312},[5302,8908,5402],{"class":5355},[5302,8910,8911],{"class":5312},"].set_xlabel(",[5302,8913,8914],{"class":5486},"\"Змінна X\"",[5302,8916,5359],{"class":5312},[5302,8918,8919,8921,8923,8925,8927,8930,8933],{"class":5304,"line":5512},[5302,8920,7512],{"class":5312},[5302,8922,5402],{"class":5355},[5302,8924,5371],{"class":5312},[5302,8926,5402],{"class":5355},[5302,8928,8929],{"class":5312},"].set_ylabel(",[5302,8931,8932],{"class":5486},"\"Змінна Y\"",[5302,8934,5359],{"class":5312},[5302,8936,8937,8939,8941,8943,8945,8947,8949,8951,8953,8955,8957],{"class":5304,"line":5523},[5302,8938,7512],{"class":5312},[5302,8940,5402],{"class":5355},[5302,8942,5371],{"class":5312},[5302,8944,5402],{"class":5355},[5302,8946,7757],{"class":5312},[5302,8948,5830],{"class":5716},[5302,8950,5371],{"class":5312},[5302,8952,5615],{"class":5456},[5302,8954,5483],{"class":5312},[5302,8956,6271],{"class":5355},[5302,8958,5359],{"class":5312},[5302,8960,8961],{"class":5304,"line":5534},[5302,8962,5339],{"emptyLinePlaceholder":5338},[5302,8964,8965],{"class":5304,"line":5539},[5302,8966,8967],{"class":5345},"# 2. Сильна негативна кореляція (r ≈ −0.92)\n",[5302,8969,8970,8973,8975,8977,8979,8981,8983],{"class":5304,"line":5544},[5302,8971,8972],{"class":5312},"x2 = np.linspace(",[5302,8974,5402],{"class":5355},[5302,8976,5371],{"class":5312},[5302,8978,5368],{"class":5355},[5302,8980,5371],{"class":5312},[5302,8982,5668],{"class":5355},[5302,8984,5359],{"class":5312},[5302,8986,8987,8990,8992,8995,8997,9000,9002,9004,9006,9008,9010],{"class":5304,"line":5550},[5302,8988,8989],{"class":5312},"y2 = ",[5302,8991,6570],{"class":5355},[5302,8993,8994],{"class":5312}," - ",[5302,8996,8768],{"class":5355},[5302,8998,8999],{"class":5312}," * x2 + rng.normal(",[5302,9001,5402],{"class":5355},[5302,9003,5371],{"class":5312},[5302,9005,6673],{"class":5355},[5302,9007,5371],{"class":5312},[5302,9009,5668],{"class":5355},[5302,9011,5359],{"class":5312},[5302,9013,9014,9017,9019,9021,9023],{"class":5304,"line":5569},[5302,9015,9016],{"class":5312},"r2 = np.corrcoef(x2, y2)[",[5302,9018,5402],{"class":5355},[5302,9020,5371],{"class":5312},[5302,9022,5289],{"class":5355},[5302,9024,8797],{"class":5312},[5302,9026,9027,9029,9031,9033,9035,9038,9040,9042,9044,9046,9048,9050,9052,9054,9056,9058,9060],{"class":5304,"line":5593},[5302,9028,7512],{"class":5312},[5302,9030,5402],{"class":5355},[5302,9032,5371],{"class":5312},[5302,9034,5289],{"class":5355},[5302,9036,9037],{"class":5312},"].scatter(x2, y2, ",[5302,9039,5615],{"class":5456},[5302,9041,5483],{"class":5312},[5302,9043,5848],{"class":5355},[5302,9045,5371],{"class":5312},[5302,9047,5480],{"class":5456},[5302,9049,5483],{"class":5312},[5302,9051,6310],{"class":5486},[5302,9053,5371],{"class":5312},[5302,9055,5492],{"class":5456},[5302,9057,5483],{"class":5312},[5302,9059,8376],{"class":5355},[5302,9061,5359],{"class":5312},[5302,9063,9064,9066,9068,9070,9072,9074,9076,9079,9081,9083,9085,9088,9090,9092],{"class":5304,"line":5635},[5302,9065,7512],{"class":5312},[5302,9067,5402],{"class":5355},[5302,9069,5371],{"class":5312},[5302,9071,5289],{"class":5355},[5302,9073,7718],{"class":5312},[5302,9075,5717],{"class":5716},[5302,9077,9078],{"class":5486},"\"Сильна негативна кореляція",[5302,9080,8856],{"class":8855},[5302,9082,8859],{"class":5486},[5302,9084,5723],{"class":5716},[5302,9086,9087],{"class":5312},"r2",[5302,9089,5734],{"class":5716},[5302,9091,5751],{"class":5486},[5302,9093,5590],{"class":5312},[5302,9095,9096,9098,9100,9102,9104,9106,9108,9110,9112,9114,9116,9118],{"class":5304,"line":5640},[5302,9097,8875],{"class":5456},[5302,9099,5483],{"class":5312},[5302,9101,5407],{"class":5355},[5302,9103,5371],{"class":5312},[5302,9105,5780],{"class":5456},[5302,9107,5483],{"class":5312},[5302,9109,6220],{"class":5486},[5302,9111,5371],{"class":5312},[5302,9113,5480],{"class":5456},[5302,9115,5483],{"class":5312},[5302,9117,6664],{"class":5486},[5302,9119,5359],{"class":5312},[5302,9121,9122,9124,9126,9128,9130,9132,9134],{"class":5304,"line":5646},[5302,9123,7512],{"class":5312},[5302,9125,5402],{"class":5355},[5302,9127,5371],{"class":5312},[5302,9129,5289],{"class":5355},[5302,9131,8911],{"class":5312},[5302,9133,8914],{"class":5486},[5302,9135,5359],{"class":5312},[5302,9137,9138,9140,9142,9144,9146,9148,9150],{"class":5304,"line":5656},[5302,9139,7512],{"class":5312},[5302,9141,5402],{"class":5355},[5302,9143,5371],{"class":5312},[5302,9145,5289],{"class":5355},[5302,9147,8929],{"class":5312},[5302,9149,8932],{"class":5486},[5302,9151,5359],{"class":5312},[5302,9153,9154,9156,9158,9160,9162,9164,9166,9168,9170,9172,9174],{"class":5304,"line":5662},[5302,9155,7512],{"class":5312},[5302,9157,5402],{"class":5355},[5302,9159,5371],{"class":5312},[5302,9161,5289],{"class":5355},[5302,9163,7757],{"class":5312},[5302,9165,5830],{"class":5716},[5302,9167,5371],{"class":5312},[5302,9169,5615],{"class":5456},[5302,9171,5483],{"class":5312},[5302,9173,6271],{"class":5355},[5302,9175,5359],{"class":5312},[5302,9177,9178],{"class":5304,"line":5673},[5302,9179,5339],{"emptyLinePlaceholder":5338},[5302,9181,9182],{"class":5304,"line":5708},[5302,9183,9184],{"class":5345},"# 3. Слабка кореляція (r ≈ +0.3)\n",[5302,9186,9187,9190,9192,9194,9196,9198,9200],{"class":5304,"line":5756},[5302,9188,9189],{"class":5312},"x3 = rng.uniform(",[5302,9191,5402],{"class":5355},[5302,9193,5371],{"class":5312},[5302,9195,5368],{"class":5355},[5302,9197,5371],{"class":5312},[5302,9199,5668],{"class":5355},[5302,9201,5359],{"class":5312},[5302,9203,9204,9207,9209,9212,9214,9216,9218,9220,9222],{"class":5304,"line":5761},[5302,9205,9206],{"class":5312},"y3 = ",[5302,9208,8466],{"class":5355},[5302,9210,9211],{"class":5312}," * x3 + rng.normal(",[5302,9213,5402],{"class":5355},[5302,9215,5371],{"class":5312},[5302,9217,5468],{"class":5355},[5302,9219,5371],{"class":5312},[5302,9221,5668],{"class":5355},[5302,9223,5359],{"class":5312},[5302,9225,9226,9229,9231,9233,9235],{"class":5304,"line":5790},[5302,9227,9228],{"class":5312},"r3 = np.corrcoef(x3, y3)[",[5302,9230,5402],{"class":5355},[5302,9232,5371],{"class":5312},[5302,9234,5289],{"class":5355},[5302,9236,8797],{"class":5312},[5302,9238,9239,9241,9243,9245,9247,9250,9252,9254,9256,9258,9260,9262,9265,9267,9269,9271,9273],{"class":5304,"line":5807},[5302,9240,7512],{"class":5312},[5302,9242,5289],{"class":5355},[5302,9244,5371],{"class":5312},[5302,9246,5402],{"class":5355},[5302,9248,9249],{"class":5312},"].scatter(x3, y3, ",[5302,9251,5615],{"class":5456},[5302,9253,5483],{"class":5312},[5302,9255,5848],{"class":5355},[5302,9257,5371],{"class":5312},[5302,9259,5480],{"class":5456},[5302,9261,5483],{"class":5312},[5302,9263,9264],{"class":5486},"\"orange\"",[5302,9266,5371],{"class":5312},[5302,9268,5492],{"class":5456},[5302,9270,5483],{"class":5312},[5302,9272,8376],{"class":5355},[5302,9274,5359],{"class":5312},[5302,9276,9277,9279,9281,9283,9285,9287,9289,9292,9294,9296,9298,9301,9303,9305],{"class":5304,"line":5824},[5302,9278,7512],{"class":5312},[5302,9280,5289],{"class":5355},[5302,9282,5371],{"class":5312},[5302,9284,5402],{"class":5355},[5302,9286,7718],{"class":5312},[5302,9288,5717],{"class":5716},[5302,9290,9291],{"class":5486},"\"Слабка позитивна кореляція",[5302,9293,8856],{"class":8855},[5302,9295,8859],{"class":5486},[5302,9297,5723],{"class":5716},[5302,9299,9300],{"class":5312},"r3",[5302,9302,5734],{"class":5716},[5302,9304,5751],{"class":5486},[5302,9306,5590],{"class":5312},[5302,9308,9309,9311,9313,9315,9317,9319,9321,9323,9325,9327,9329,9332],{"class":5304,"line":5853},[5302,9310,8875],{"class":5456},[5302,9312,5483],{"class":5312},[5302,9314,5407],{"class":5355},[5302,9316,5371],{"class":5312},[5302,9318,5780],{"class":5456},[5302,9320,5483],{"class":5312},[5302,9322,6220],{"class":5486},[5302,9324,5371],{"class":5312},[5302,9326,5480],{"class":5456},[5302,9328,5483],{"class":5312},[5302,9330,9331],{"class":5486},"\"darkorange\"",[5302,9333,5359],{"class":5312},[5302,9335,9336,9338,9340,9342,9344,9346,9348],{"class":5304,"line":5888},[5302,9337,7512],{"class":5312},[5302,9339,5289],{"class":5355},[5302,9341,5371],{"class":5312},[5302,9343,5402],{"class":5355},[5302,9345,8911],{"class":5312},[5302,9347,8914],{"class":5486},[5302,9349,5359],{"class":5312},[5302,9351,9352,9354,9356,9358,9360,9362,9364],{"class":5304,"line":8362},[5302,9353,7512],{"class":5312},[5302,9355,5289],{"class":5355},[5302,9357,5371],{"class":5312},[5302,9359,5402],{"class":5355},[5302,9361,8929],{"class":5312},[5302,9363,8932],{"class":5486},[5302,9365,5359],{"class":5312},[5302,9367,9368,9370,9372,9374,9376,9378,9380,9382,9384,9386,9388],{"class":5304,"line":8381},[5302,9369,7512],{"class":5312},[5302,9371,5289],{"class":5355},[5302,9373,5371],{"class":5312},[5302,9375,5402],{"class":5355},[5302,9377,7757],{"class":5312},[5302,9379,5830],{"class":5716},[5302,9381,5371],{"class":5312},[5302,9383,5615],{"class":5456},[5302,9385,5483],{"class":5312},[5302,9387,6271],{"class":5355},[5302,9389,5359],{"class":5312},[5302,9391,9392],{"class":5304,"line":8404},[5302,9393,5339],{"emptyLinePlaceholder":5338},[5302,9395,9396],{"class":5304,"line":8416},[5302,9397,9398],{"class":5345},"# 4. Немає кореляції (r ≈ 0)\n",[5302,9400,9401,9404,9406,9408,9410,9412,9414],{"class":5304,"line":8480},[5302,9402,9403],{"class":5312},"x4 = rng.uniform(",[5302,9405,5402],{"class":5355},[5302,9407,5371],{"class":5312},[5302,9409,5368],{"class":5355},[5302,9411,5371],{"class":5312},[5302,9413,5668],{"class":5355},[5302,9415,5359],{"class":5312},[5302,9417,9418,9421,9423,9425,9427,9429,9431],{"class":5304,"line":8520},[5302,9419,9420],{"class":5312},"y4 = rng.uniform(",[5302,9422,5402],{"class":5355},[5302,9424,5371],{"class":5312},[5302,9426,5368],{"class":5355},[5302,9428,5371],{"class":5312},[5302,9430,5668],{"class":5355},[5302,9432,5359],{"class":5312},[5302,9434,9435,9438,9440,9442,9444],{"class":5304,"line":8531},[5302,9436,9437],{"class":5312},"r4 = np.corrcoef(x4, y4)[",[5302,9439,5402],{"class":5355},[5302,9441,5371],{"class":5312},[5302,9443,5289],{"class":5355},[5302,9445,8797],{"class":5312},[5302,9447,9448,9450,9452,9454,9456,9459,9461,9463,9465,9467,9469,9471,9474,9476,9478,9480,9482],{"class":5304,"line":8557},[5302,9449,7512],{"class":5312},[5302,9451,5289],{"class":5355},[5302,9453,5371],{"class":5312},[5302,9455,5289],{"class":5355},[5302,9457,9458],{"class":5312},"].scatter(x4, y4, ",[5302,9460,5615],{"class":5456},[5302,9462,5483],{"class":5312},[5302,9464,5848],{"class":5355},[5302,9466,5371],{"class":5312},[5302,9468,5480],{"class":5456},[5302,9470,5483],{"class":5312},[5302,9472,9473],{"class":5486},"\"gray\"",[5302,9475,5371],{"class":5312},[5302,9477,5492],{"class":5456},[5302,9479,5483],{"class":5312},[5302,9481,8376],{"class":5355},[5302,9483,5359],{"class":5312},[5302,9485,9486,9488,9490,9492,9494,9496,9498,9501,9503,9505,9507,9510,9512,9514],{"class":5304,"line":8590},[5302,9487,7512],{"class":5312},[5302,9489,5289],{"class":5355},[5302,9491,5371],{"class":5312},[5302,9493,5289],{"class":5355},[5302,9495,7718],{"class":5312},[5302,9497,5717],{"class":5716},[5302,9499,9500],{"class":5486},"\"Немає лінійної кореляції",[5302,9502,8856],{"class":8855},[5302,9504,8859],{"class":5486},[5302,9506,5723],{"class":5716},[5302,9508,9509],{"class":5312},"r4",[5302,9511,5734],{"class":5716},[5302,9513,5751],{"class":5486},[5302,9515,5590],{"class":5312},[5302,9517,9518,9520,9522,9524,9526,9528,9530,9532,9534,9536,9538,9540],{"class":5304,"line":8595},[5302,9519,8875],{"class":5456},[5302,9521,5483],{"class":5312},[5302,9523,5407],{"class":5355},[5302,9525,5371],{"class":5312},[5302,9527,5780],{"class":5456},[5302,9529,5483],{"class":5312},[5302,9531,6220],{"class":5486},[5302,9533,5371],{"class":5312},[5302,9535,5480],{"class":5456},[5302,9537,5483],{"class":5312},[5302,9539,6867],{"class":5486},[5302,9541,5359],{"class":5312},[5302,9543,9544,9546,9548,9550,9552,9554,9556],{"class":5304,"line":8600},[5302,9545,7512],{"class":5312},[5302,9547,5289],{"class":5355},[5302,9549,5371],{"class":5312},[5302,9551,5289],{"class":5355},[5302,9553,8911],{"class":5312},[5302,9555,8914],{"class":5486},[5302,9557,5359],{"class":5312},[5302,9559,9561,9563,9565,9567,9569,9571,9573],{"class":5304,"line":9560},50,[5302,9562,7512],{"class":5312},[5302,9564,5289],{"class":5355},[5302,9566,5371],{"class":5312},[5302,9568,5289],{"class":5355},[5302,9570,8929],{"class":5312},[5302,9572,8932],{"class":5486},[5302,9574,5359],{"class":5312},[5302,9576,9578,9580,9582,9584,9586,9588,9590,9592,9594,9596,9598],{"class":5304,"line":9577},51,[5302,9579,7512],{"class":5312},[5302,9581,5289],{"class":5355},[5302,9583,5371],{"class":5312},[5302,9585,5289],{"class":5355},[5302,9587,7757],{"class":5312},[5302,9589,5830],{"class":5716},[5302,9591,5371],{"class":5312},[5302,9593,5615],{"class":5456},[5302,9595,5483],{"class":5312},[5302,9597,6271],{"class":5355},[5302,9599,5359],{"class":5312},[5302,9601,9603],{"class":5304,"line":9602},52,[5302,9604,5339],{"emptyLinePlaceholder":5338},[5302,9606,9608],{"class":5304,"line":9607},53,[5302,9609,6390],{"class":5312},[5302,9611,9613],{"class":5304,"line":9612},54,[5302,9614,5436],{"class":5312},[5892,9616,9617],{"v-slot:output":5297},[5895,9618],{"alt":9619,"className":9620,"src":9621},"Чотири типи кореляцій",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F04.png",[9623,9624,9625,9630,9637,9671],"warning",{},[5255,9626,9627],{},[5224,9628,9629],{},"Кореляція ≠ причинно-наслідковий зв'язок!",[5255,9631,9632,9633,9636],{},"Класичні приклади ",[5224,9634,9635],{},"хибної кореляції"," (spurious correlation):",[5908,9638,9639,9657],{},[5201,9640,9641,9644,9645],{},[5224,9642,9643],{},"Продажі морозива ↔ Кількість утоплень"," (r ≈ +0.9)",[5198,9646,9647,9650],{},[5201,9648,9649],{},"Причина: обидві зростають влітку (третя змінна — температура)",[5201,9651,9652,9653,9656],{},"Морозиво ",[5224,9654,9655],{},"не спричиняє"," утоплення!",[5201,9658,9659,9662,9663],{},[5224,9660,9661],{},"Кількість пожежників на місці ↔ Збитки від пожежі"," (r ≈ +0.85)",[5198,9664,9665,9668],{},[5201,9666,9667],{},"Більше пожежників → більші збитки? НІ!",[5201,9669,9670],{},"Третя змінна: розмір пожежі (на велику пожежу відправляють більше людей)",[5255,9672,9673,9676,9677,9680,9681,9684],{},[5224,9674,9675],{},"Правило:"," scatter plot показує ",[5224,9678,9679],{},"асоціацію",", але не ",[5224,9682,9683],{},"каузальність",". Для причинно-наслідкового зв'язку потрібні експерименти, а не просто спостереження.",[5247,9686],{},[5250,9688,9690],{"id":9689},"лінійні-vs-нелінійні-залежності","Лінійні vs нелінійні залежності",[5255,9692,9693,9694,9697,9698,9701],{},"Коефіцієнт кореляції Пірсона вимірює ",[5224,9695,9696],{},"лише лінійний"," зв'язок. Scatter plot може показати ",[5224,9699,9700],{},"нелінійні"," залежності, які кореляція не бачить.",[5271,9703,9705,9711,10372],{"title":9704},"linear_vs_nonlinear.ipynb",[5276,9706,9707],{"type":5278},[5280,9708,9710],{"id":9709},"коли-коефіцієнт-кореляції-вводить-в-оману","Коли коефіцієнт кореляції вводить в оману",[5276,9712,9713,10366],{"execution-count":5289},[5292,9714,9716],{"className":5294,"code":9715,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(seed=42)\n\nfig, axes = plt.subplots(1, 3, figsize=(16, 5))\nfig.suptitle(\"Лінійні vs нелінійні залежності\", fontsize=15, fontweight=\"bold\")\n\n# 1. Лінійна залежність (r показує правильно)\nx1 = np.linspace(0, 10, 100)\ny1 = 2 * x1 + rng.normal(0, 2, 100)\nr1 = np.corrcoef(x1, y1)[0, 1]\n\naxes[0].scatter(x1, y1, alpha=0.6, color=\"blue\", s=50)\naxes[0].set_title(f\"Лінійна залежність\\nr = {r1:.2f} (адекватно)\", fontweight=\"bold\")\naxes[0].set_xlabel(\"X\")\naxes[0].set_ylabel(\"Y\")\naxes[0].grid(True, alpha=0.3)\n\n# 2. Квадратична залежність (r близький до 0, але зв'язок очевидний!)\nx2 = np.linspace(-5, 5, 100)\ny2 = x2**2 + rng.normal(0, 2, 100)\nr2 = np.corrcoef(x2, y2)[0, 1]\n\naxes[1].scatter(x2, y2, alpha=0.6, color=\"red\", s=50)\naxes[1].set_title(f\"Квадратична залежність\\nr = {r2:.2f} (вводить в оману!)\", \n                  fontweight=\"bold\", color=\"darkred\")\naxes[1].set_xlabel(\"X\")\naxes[1].set_ylabel(\"Y = X²\")\naxes[1].grid(True, alpha=0.3)\n\n# 3. Синусоїдальна залежність (r ≈ 0, але чіткий паттерн)\nx3 = np.linspace(0, 4*np.pi, 100)\ny3 = np.sin(x3) + rng.normal(0, 0.1, 100)\nr3 = np.corrcoef(x3, y3)[0, 1]\n\naxes[2].scatter(x3, y3, alpha=0.6, color=\"green\", s=50)\naxes[2].set_title(f\"Періодична залежність\\nr = {r3:.2f} (не бачить паттерн)\", \n                  fontweight=\"bold\", color=\"darkgreen\")\naxes[2].set_xlabel(\"X\")\naxes[2].set_ylabel(\"Y = sin(X)\")\naxes[2].grid(True, alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5299,9717,9718,9728,9738,9742,9754,9758,9782,9808,9812,9817,9833,9854,9866,9870,9902,9938,9951,9964,9984,9988,9993,10010,10031,10043,10047,10079,10107,10126,10138,10151,10171,10175,10180,10198,10215,10227,10231,10263,10291,10309,10321,10334,10354,10358,10362],{"__ignoreMap":5297},[5302,9719,9720,9722,9724,9726],{"class":5304,"line":5305},[5302,9721,5309],{"class":5308},[5302,9723,5313],{"class":5312},[5302,9725,5316],{"class":5308},[5302,9727,5319],{"class":5312},[5302,9729,9730,9732,9734,9736],{"class":5304,"line":5322},[5302,9731,5309],{"class":5308},[5302,9733,5327],{"class":5312},[5302,9735,5316],{"class":5308},[5302,9737,5332],{"class":5312},[5302,9739,9740],{"class":5304,"line":5335},[5302,9741,5339],{"emptyLinePlaceholder":5338},[5302,9743,9744,9746,9748,9750,9752],{"class":5304,"line":5342},[5302,9745,5352],{"class":5312},[5302,9747,6068],{"class":5456},[5302,9749,5483],{"class":5312},[5302,9751,5356],{"class":5355},[5302,9753,5359],{"class":5312},[5302,9755,9756],{"class":5304,"line":5349},[5302,9757,5339],{"emptyLinePlaceholder":5338},[5302,9759,9760,9762,9764,9766,9768,9770,9772,9774,9776,9778,9780],{"class":5304,"line":5362},[5302,9761,7436],{"class":5312},[5302,9763,5289],{"class":5355},[5302,9765,5371],{"class":5312},[5302,9767,8768],{"class":5355},[5302,9769,5371],{"class":5312},[5302,9771,5457],{"class":5456},[5302,9773,5460],{"class":5312},[5302,9775,8719],{"class":5355},[5302,9777,5371],{"class":5312},[5302,9779,6585],{"class":5355},[5302,9781,5471],{"class":5312},[5302,9783,9784,9786,9789,9791,9793,9795,9798,9800,9802,9804,9806],{"class":5304,"line":5384},[5302,9785,8707],{"class":5312},[5302,9787,9788],{"class":5486},"\"Лінійні vs нелінійні залежності\"",[5302,9790,5371],{"class":5312},[5302,9792,5771],{"class":5456},[5302,9794,5483],{"class":5312},[5302,9796,9797],{"class":5355},"15",[5302,9799,5371],{"class":5312},[5302,9801,5780],{"class":5456},[5302,9803,5483],{"class":5312},[5302,9805,6220],{"class":5486},[5302,9807,5359],{"class":5312},[5302,9809,9810],{"class":5304,"line":5416},[5302,9811,5339],{"emptyLinePlaceholder":5338},[5302,9813,9814],{"class":5304,"line":5421},[5302,9815,9816],{"class":5345},"# 1. Лінійна залежність (r показує правильно)\n",[5302,9818,9819,9821,9823,9825,9827,9829,9831],{"class":5304,"line":5427},[5302,9820,8743],{"class":5312},[5302,9822,5402],{"class":5355},[5302,9824,5371],{"class":5312},[5302,9826,5368],{"class":5355},[5302,9828,5371],{"class":5312},[5302,9830,5668],{"class":5355},[5302,9832,5359],{"class":5312},[5302,9834,9835,9837,9839,9842,9844,9846,9848,9850,9852],{"class":5304,"line":5433},[5302,9836,8760],{"class":5312},[5302,9838,5702],{"class":5355},[5302,9840,9841],{"class":5312}," * x1 + rng.normal(",[5302,9843,5402],{"class":5355},[5302,9845,5371],{"class":5312},[5302,9847,5702],{"class":5355},[5302,9849,5371],{"class":5312},[5302,9851,5668],{"class":5355},[5302,9853,5359],{"class":5312},[5302,9855,9856,9858,9860,9862,9864],{"class":5304,"line":5439},[5302,9857,8788],{"class":5312},[5302,9859,5402],{"class":5355},[5302,9861,5371],{"class":5312},[5302,9863,5289],{"class":5355},[5302,9865,8797],{"class":5312},[5302,9867,9868],{"class":5304,"line":5444},[5302,9869,5339],{"emptyLinePlaceholder":5338},[5302,9871,9872,9874,9876,9878,9880,9882,9884,9886,9888,9890,9892,9894,9896,9898,9900],{"class":5304,"line":5450},[5302,9873,7512],{"class":5312},[5302,9875,5402],{"class":5355},[5302,9877,8810],{"class":5312},[5302,9879,5615],{"class":5456},[5302,9881,5483],{"class":5312},[5302,9883,5848],{"class":5355},[5302,9885,5371],{"class":5312},[5302,9887,5480],{"class":5456},[5302,9889,5483],{"class":5312},[5302,9891,6820],{"class":5486},[5302,9893,5371],{"class":5312},[5302,9895,5492],{"class":5456},[5302,9897,5483],{"class":5312},[5302,9899,6570],{"class":5355},[5302,9901,5359],{"class":5312},[5302,9903,9904,9906,9908,9910,9912,9915,9917,9919,9921,9923,9925,9928,9930,9932,9934,9936],{"class":5304,"line":5474},[5302,9905,7512],{"class":5312},[5302,9907,5402],{"class":5355},[5302,9909,7718],{"class":5312},[5302,9911,5717],{"class":5716},[5302,9913,9914],{"class":5486},"\"Лінійна залежність",[5302,9916,8856],{"class":8855},[5302,9918,8859],{"class":5486},[5302,9920,5723],{"class":5716},[5302,9922,8864],{"class":5312},[5302,9924,5734],{"class":5716},[5302,9926,9927],{"class":5486}," (адекватно)\"",[5302,9929,5371],{"class":5312},[5302,9931,5780],{"class":5456},[5302,9933,5483],{"class":5312},[5302,9935,6220],{"class":5486},[5302,9937,5359],{"class":5312},[5302,9939,9940,9942,9944,9946,9949],{"class":5304,"line":5501},[5302,9941,7512],{"class":5312},[5302,9943,5402],{"class":5355},[5302,9945,8911],{"class":5312},[5302,9947,9948],{"class":5486},"\"X\"",[5302,9950,5359],{"class":5312},[5302,9952,9953,9955,9957,9959,9962],{"class":5304,"line":5512},[5302,9954,7512],{"class":5312},[5302,9956,5402],{"class":5355},[5302,9958,8929],{"class":5312},[5302,9960,9961],{"class":5486},"\"Y\"",[5302,9963,5359],{"class":5312},[5302,9965,9966,9968,9970,9972,9974,9976,9978,9980,9982],{"class":5304,"line":5523},[5302,9967,7512],{"class":5312},[5302,9969,5402],{"class":5355},[5302,9971,7757],{"class":5312},[5302,9973,5830],{"class":5716},[5302,9975,5371],{"class":5312},[5302,9977,5615],{"class":5456},[5302,9979,5483],{"class":5312},[5302,9981,6271],{"class":5355},[5302,9983,5359],{"class":5312},[5302,9985,9986],{"class":5304,"line":5534},[5302,9987,5339],{"emptyLinePlaceholder":5338},[5302,9989,9990],{"class":5304,"line":5539},[5302,9991,9992],{"class":5345},"# 2. Квадратична залежність (r близький до 0, але зв'язок очевидний!)\n",[5302,9994,9995,9998,10000,10002,10004,10006,10008],{"class":5304,"line":5544},[5302,9996,9997],{"class":5312},"x2 = np.linspace(-",[5302,9999,6585],{"class":5355},[5302,10001,5371],{"class":5312},[5302,10003,6585],{"class":5355},[5302,10005,5371],{"class":5312},[5302,10007,5668],{"class":5355},[5302,10009,5359],{"class":5312},[5302,10011,10012,10015,10017,10019,10021,10023,10025,10027,10029],{"class":5304,"line":5550},[5302,10013,10014],{"class":5312},"y2 = x2**",[5302,10016,5702],{"class":5355},[5302,10018,8771],{"class":5312},[5302,10020,5402],{"class":5355},[5302,10022,5371],{"class":5312},[5302,10024,5702],{"class":5355},[5302,10026,5371],{"class":5312},[5302,10028,5668],{"class":5355},[5302,10030,5359],{"class":5312},[5302,10032,10033,10035,10037,10039,10041],{"class":5304,"line":5569},[5302,10034,9016],{"class":5312},[5302,10036,5402],{"class":5355},[5302,10038,5371],{"class":5312},[5302,10040,5289],{"class":5355},[5302,10042,8797],{"class":5312},[5302,10044,10045],{"class":5304,"line":5593},[5302,10046,5339],{"emptyLinePlaceholder":5338},[5302,10048,10049,10051,10053,10055,10057,10059,10061,10063,10065,10067,10069,10071,10073,10075,10077],{"class":5304,"line":5635},[5302,10050,7512],{"class":5312},[5302,10052,5289],{"class":5355},[5302,10054,9037],{"class":5312},[5302,10056,5615],{"class":5456},[5302,10058,5483],{"class":5312},[5302,10060,5848],{"class":5355},[5302,10062,5371],{"class":5312},[5302,10064,5480],{"class":5456},[5302,10066,5483],{"class":5312},[5302,10068,6310],{"class":5486},[5302,10070,5371],{"class":5312},[5302,10072,5492],{"class":5456},[5302,10074,5483],{"class":5312},[5302,10076,6570],{"class":5355},[5302,10078,5359],{"class":5312},[5302,10080,10081,10083,10085,10087,10089,10092,10094,10096,10098,10100,10102,10105],{"class":5304,"line":5640},[5302,10082,7512],{"class":5312},[5302,10084,5289],{"class":5355},[5302,10086,7718],{"class":5312},[5302,10088,5717],{"class":5716},[5302,10090,10091],{"class":5486},"\"Квадратична залежність",[5302,10093,8856],{"class":8855},[5302,10095,8859],{"class":5486},[5302,10097,5723],{"class":5716},[5302,10099,9087],{"class":5312},[5302,10101,5734],{"class":5716},[5302,10103,10104],{"class":5486}," (вводить в оману!)\"",[5302,10106,5590],{"class":5312},[5302,10108,10109,10112,10114,10116,10118,10120,10122,10124],{"class":5304,"line":5646},[5302,10110,10111],{"class":5456},"                  fontweight",[5302,10113,5483],{"class":5312},[5302,10115,6220],{"class":5486},[5302,10117,5371],{"class":5312},[5302,10119,5480],{"class":5456},[5302,10121,5483],{"class":5312},[5302,10123,6664],{"class":5486},[5302,10125,5359],{"class":5312},[5302,10127,10128,10130,10132,10134,10136],{"class":5304,"line":5656},[5302,10129,7512],{"class":5312},[5302,10131,5289],{"class":5355},[5302,10133,8911],{"class":5312},[5302,10135,9948],{"class":5486},[5302,10137,5359],{"class":5312},[5302,10139,10140,10142,10144,10146,10149],{"class":5304,"line":5662},[5302,10141,7512],{"class":5312},[5302,10143,5289],{"class":5355},[5302,10145,8929],{"class":5312},[5302,10147,10148],{"class":5486},"\"Y = X²\"",[5302,10150,5359],{"class":5312},[5302,10152,10153,10155,10157,10159,10161,10163,10165,10167,10169],{"class":5304,"line":5673},[5302,10154,7512],{"class":5312},[5302,10156,5289],{"class":5355},[5302,10158,7757],{"class":5312},[5302,10160,5830],{"class":5716},[5302,10162,5371],{"class":5312},[5302,10164,5615],{"class":5456},[5302,10166,5483],{"class":5312},[5302,10168,6271],{"class":5355},[5302,10170,5359],{"class":5312},[5302,10172,10173],{"class":5304,"line":5708},[5302,10174,5339],{"emptyLinePlaceholder":5338},[5302,10176,10177],{"class":5304,"line":5756},[5302,10178,10179],{"class":5345},"# 3. Синусоїдальна залежність (r ≈ 0, але чіткий паттерн)\n",[5302,10181,10182,10185,10187,10189,10191,10194,10196],{"class":5304,"line":5761},[5302,10183,10184],{"class":5312},"x3 = np.linspace(",[5302,10186,5402],{"class":5355},[5302,10188,5371],{"class":5312},[5302,10190,5468],{"class":5355},[5302,10192,10193],{"class":5312},"*np.pi, ",[5302,10195,5668],{"class":5355},[5302,10197,5359],{"class":5312},[5302,10199,10200,10203,10205,10207,10209,10211,10213],{"class":5304,"line":5790},[5302,10201,10202],{"class":5312},"y3 = np.sin(x3) + rng.normal(",[5302,10204,5402],{"class":5355},[5302,10206,5371],{"class":5312},[5302,10208,7919],{"class":5355},[5302,10210,5371],{"class":5312},[5302,10212,5668],{"class":5355},[5302,10214,5359],{"class":5312},[5302,10216,10217,10219,10221,10223,10225],{"class":5304,"line":5807},[5302,10218,9228],{"class":5312},[5302,10220,5402],{"class":5355},[5302,10222,5371],{"class":5312},[5302,10224,5289],{"class":5355},[5302,10226,8797],{"class":5312},[5302,10228,10229],{"class":5304,"line":5824},[5302,10230,5339],{"emptyLinePlaceholder":5338},[5302,10232,10233,10235,10237,10239,10241,10243,10245,10247,10249,10251,10253,10255,10257,10259,10261],{"class":5304,"line":5853},[5302,10234,7512],{"class":5312},[5302,10236,5702],{"class":5355},[5302,10238,9249],{"class":5312},[5302,10240,5615],{"class":5456},[5302,10242,5483],{"class":5312},[5302,10244,5848],{"class":5355},[5302,10246,5371],{"class":5312},[5302,10248,5480],{"class":5456},[5302,10250,5483],{"class":5312},[5302,10252,8825],{"class":5486},[5302,10254,5371],{"class":5312},[5302,10256,5492],{"class":5456},[5302,10258,5483],{"class":5312},[5302,10260,6570],{"class":5355},[5302,10262,5359],{"class":5312},[5302,10264,10265,10267,10269,10271,10273,10276,10278,10280,10282,10284,10286,10289],{"class":5304,"line":5888},[5302,10266,7512],{"class":5312},[5302,10268,5702],{"class":5355},[5302,10270,7718],{"class":5312},[5302,10272,5717],{"class":5716},[5302,10274,10275],{"class":5486},"\"Періодична залежність",[5302,10277,8856],{"class":8855},[5302,10279,8859],{"class":5486},[5302,10281,5723],{"class":5716},[5302,10283,9300],{"class":5312},[5302,10285,5734],{"class":5716},[5302,10287,10288],{"class":5486}," (не бачить паттерн)\"",[5302,10290,5590],{"class":5312},[5302,10292,10293,10295,10297,10299,10301,10303,10305,10307],{"class":5304,"line":8362},[5302,10294,10111],{"class":5456},[5302,10296,5483],{"class":5312},[5302,10298,6220],{"class":5486},[5302,10300,5371],{"class":5312},[5302,10302,5480],{"class":5456},[5302,10304,5483],{"class":5312},[5302,10306,8896],{"class":5486},[5302,10308,5359],{"class":5312},[5302,10310,10311,10313,10315,10317,10319],{"class":5304,"line":8381},[5302,10312,7512],{"class":5312},[5302,10314,5702],{"class":5355},[5302,10316,8911],{"class":5312},[5302,10318,9948],{"class":5486},[5302,10320,5359],{"class":5312},[5302,10322,10323,10325,10327,10329,10332],{"class":5304,"line":8404},[5302,10324,7512],{"class":5312},[5302,10326,5702],{"class":5355},[5302,10328,8929],{"class":5312},[5302,10330,10331],{"class":5486},"\"Y = sin(X)\"",[5302,10333,5359],{"class":5312},[5302,10335,10336,10338,10340,10342,10344,10346,10348,10350,10352],{"class":5304,"line":8416},[5302,10337,7512],{"class":5312},[5302,10339,5702],{"class":5355},[5302,10341,7757],{"class":5312},[5302,10343,5830],{"class":5716},[5302,10345,5371],{"class":5312},[5302,10347,5615],{"class":5456},[5302,10349,5483],{"class":5312},[5302,10351,6271],{"class":5355},[5302,10353,5359],{"class":5312},[5302,10355,10356],{"class":5304,"line":8480},[5302,10357,5339],{"emptyLinePlaceholder":5338},[5302,10359,10360],{"class":5304,"line":8520},[5302,10361,6390],{"class":5312},[5302,10363,10364],{"class":5304,"line":8531},[5302,10365,5436],{"class":5312},[5892,10367,10368],{"v-slot:output":5297},[5895,10369],{"alt":9690,"className":10370,"src":10371},[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F05.png",[5276,10373,10374,10377,10378,10381],{"type":5278},[5224,10375,10376],{},"Мораль:"," завжди ",[5224,10379,10380],{},"будуйте scatter plot"," перед обчисленням кореляції! Число (r) може бути оманливим, графік — ніколи.",[6438,10383,10384,10390,10393,10410,10417],{},[5255,10385,10386,10389],{},[5224,10387,10388],{},"Anscombe's Quartet"," — класичний приклад",[5255,10391,10392],{},"У 1973 році статистик Френсіс Енскомб створив 4 датасети, де:",[5198,10394,10395,10398,10401,10404],{},[5201,10396,10397],{},"Середнє X ≈ 9.0",[5201,10399,10400],{},"Середнє Y ≈ 7.5",[5201,10402,10403],{},"Кореляція r ≈ 0.816",[5201,10405,10406,10407],{},"Регресійна лінія ",[5224,10408,10409],{},"ідентична",[5255,10411,10412,10413,10416],{},"Але scatter plots ",[5224,10414,10415],{},"радикально різні","! Один — лінійний, другий — параболічний, третій — з викидом, четвертий — вертикальна лінія + одна точка.",[5255,10418,10419,10422],{},[5224,10420,10421],{},"Висновок:"," статистичні показники без візуалізації = сліпе водіння автомобіля.",[5247,10424],{},[5250,10426,10428],{"id":10427},"додавання-лінії-тренду-regression-line","Додавання лінії тренду (regression line)",[5255,10430,10431,10432,10435],{},"Лінія тренду допомагає побачити ",[5224,10433,10434],{},"загальну тенденцію"," навіть у розкиданих даних.",[5271,10437,10439],{"title":10438},"trend_line.ipynb",[5276,10440,10441,10821],{"execution-count":5289},[5292,10442,10444],{"className":5294,"code":10443,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Дані: досвід роботи (роки) → зарплата ($)\nrng = np.random.default_rng(seed=42)\nexperience = rng.uniform(0, 15, 80)\nsalary = 30000 + 3500 * experience + rng.normal(0, 8000, 80)\n\nfig, ax = plt.subplots(figsize=(10, 6))\n\n# Scatter plot\nax.scatter(experience, salary, alpha=0.6, s=70, color=\"purple\", \n           edgecolor=\"darkviolet\", label=\"Дані\")\n\n# Лінія тренду (лінійна регресія)\nz = np.polyfit(experience, salary, 1)  # Поліном 1-го ступеня (пряма)\np = np.poly1d(z)\n\nx_trend = np.linspace(experience.min(), experience.max(), 100)\nax.plot(x_trend, p(x_trend), color=\"red\", linestyle=\"--\", linewidth=2.5, \n        label=f\"Trend: зарплата ≈ {z[0]:.0f}·досвід + {z[1]:.0f}\")\n\nax.set_title(\"Залежність зарплати від досвіду роботи\", \n             fontsize=14, fontweight=\"bold\")\nax.set_xlabel(\"Досвід роботи (роки)\", fontsize=12)\nax.set_ylabel(\"Зарплата ($)\", fontsize=12)\nax.legend(fontsize=11)\nax.grid(True, alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5299,10445,10446,10456,10466,10470,10475,10487,10504,10532,10536,10552,10556,10561,10591,10611,10615,10620,10632,10636,10640,10649,10678,10716,10720,10729,10747,10764,10781,10793,10809,10813,10817],{"__ignoreMap":5297},[5302,10447,10448,10450,10452,10454],{"class":5304,"line":5305},[5302,10449,5309],{"class":5308},[5302,10451,5313],{"class":5312},[5302,10453,5316],{"class":5308},[5302,10455,5319],{"class":5312},[5302,10457,10458,10460,10462,10464],{"class":5304,"line":5322},[5302,10459,5309],{"class":5308},[5302,10461,5327],{"class":5312},[5302,10463,5316],{"class":5308},[5302,10465,5332],{"class":5312},[5302,10467,10468],{"class":5304,"line":5335},[5302,10469,5339],{"emptyLinePlaceholder":5338},[5302,10471,10472],{"class":5304,"line":5342},[5302,10473,10474],{"class":5345},"# Дані: досвід роботи (роки) → зарплата ($)\n",[5302,10476,10477,10479,10481,10483,10485],{"class":5304,"line":5349},[5302,10478,5352],{"class":5312},[5302,10480,6068],{"class":5456},[5302,10482,5483],{"class":5312},[5302,10484,5356],{"class":5355},[5302,10486,5359],{"class":5312},[5302,10488,10489,10492,10494,10496,10498,10500,10502],{"class":5304,"line":5362},[5302,10490,10491],{"class":5312},"experience = rng.uniform(",[5302,10493,5402],{"class":5355},[5302,10495,5371],{"class":5312},[5302,10497,9797],{"class":5355},[5302,10499,5371],{"class":5312},[5302,10501,6168],{"class":5355},[5302,10503,5359],{"class":5312},[5302,10505,10506,10509,10512,10514,10517,10520,10522,10524,10526,10528,10530],{"class":5304,"line":5384},[5302,10507,10508],{"class":5312},"salary = ",[5302,10510,10511],{"class":5355},"30000",[5302,10513,5393],{"class":5312},[5302,10515,10516],{"class":5355},"3500",[5302,10518,10519],{"class":5312}," * experience + rng.normal(",[5302,10521,5402],{"class":5355},[5302,10523,5371],{"class":5312},[5302,10525,6115],{"class":5355},[5302,10527,5371],{"class":5312},[5302,10529,6168],{"class":5355},[5302,10531,5359],{"class":5312},[5302,10533,10534],{"class":5304,"line":5416},[5302,10535,5339],{"emptyLinePlaceholder":5338},[5302,10537,10538,10540,10542,10544,10546,10548,10550],{"class":5304,"line":5421},[5302,10539,5453],{"class":5312},[5302,10541,5457],{"class":5456},[5302,10543,5460],{"class":5312},[5302,10545,5368],{"class":5355},[5302,10547,5371],{"class":5312},[5302,10549,5463],{"class":5355},[5302,10551,5471],{"class":5312},[5302,10553,10554],{"class":5304,"line":5427},[5302,10555,5339],{"emptyLinePlaceholder":5338},[5302,10557,10558],{"class":5304,"line":5433},[5302,10559,10560],{"class":5345},"# Scatter plot\n",[5302,10562,10563,10566,10568,10570,10572,10574,10576,10578,10580,10582,10584,10586,10589],{"class":5304,"line":5439},[5302,10564,10565],{"class":5312},"ax.scatter(experience, salary, ",[5302,10567,5615],{"class":5456},[5302,10569,5483],{"class":5312},[5302,10571,5848],{"class":5355},[5302,10573,5371],{"class":5312},[5302,10575,5492],{"class":5456},[5302,10577,5483],{"class":5312},[5302,10579,5578],{"class":5355},[5302,10581,5371],{"class":5312},[5302,10583,5480],{"class":5456},[5302,10585,5483],{"class":5312},[5302,10587,10588],{"class":5486},"\"purple\"",[5302,10590,5590],{"class":5312},[5302,10592,10593,10595,10597,10600,10602,10604,10606,10609],{"class":5304,"line":5444},[5302,10594,5596],{"class":5456},[5302,10596,5483],{"class":5312},[5302,10598,10599],{"class":5486},"\"darkviolet\"",[5302,10601,5371],{"class":5312},[5302,10603,5625],{"class":5456},[5302,10605,5483],{"class":5312},[5302,10607,10608],{"class":5486},"\"Дані\"",[5302,10610,5359],{"class":5312},[5302,10612,10613],{"class":5304,"line":5450},[5302,10614,5339],{"emptyLinePlaceholder":5338},[5302,10616,10617],{"class":5304,"line":5474},[5302,10618,10619],{"class":5345},"# Лінія тренду (лінійна регресія)\n",[5302,10621,10622,10625,10627,10629],{"class":5304,"line":5501},[5302,10623,10624],{"class":5312},"z = np.polyfit(experience, salary, ",[5302,10626,5289],{"class":5355},[5302,10628,6094],{"class":5312},[5302,10630,10631],{"class":5345},"# Поліном 1-го ступеня (пряма)\n",[5302,10633,10634],{"class":5304,"line":5512},[5302,10635,5659],{"class":5312},[5302,10637,10638],{"class":5304,"line":5523},[5302,10639,5339],{"emptyLinePlaceholder":5338},[5302,10641,10642,10645,10647],{"class":5304,"line":5534},[5302,10643,10644],{"class":5312},"x_trend = np.linspace(experience.min(), experience.max(), ",[5302,10646,5668],{"class":5355},[5302,10648,5359],{"class":5312},[5302,10650,10651,10654,10656,10658,10660,10662,10664,10666,10668,10670,10672,10674,10676],{"class":5304,"line":5539},[5302,10652,10653],{"class":5312},"ax.plot(x_trend, p(x_trend), ",[5302,10655,5480],{"class":5456},[5302,10657,5483],{"class":5312},[5302,10659,6310],{"class":5486},[5302,10661,5371],{"class":5312},[5302,10663,5688],{"class":5456},[5302,10665,5483],{"class":5312},[5302,10667,6319],{"class":5486},[5302,10669,5371],{"class":5312},[5302,10671,5606],{"class":5456},[5302,10673,5483],{"class":5312},[5302,10675,8410],{"class":5355},[5302,10677,5590],{"class":5312},[5302,10679,10680,10682,10684,10686,10689,10691,10693,10695,10697,10699,10702,10704,10706,10708,10710,10712,10714],{"class":5304,"line":5544},[5302,10681,5711],{"class":5456},[5302,10683,5483],{"class":5312},[5302,10685,5717],{"class":5716},[5302,10687,10688],{"class":5486},"\"Trend: зарплата ≈ ",[5302,10690,5723],{"class":5716},[5302,10692,5726],{"class":5312},[5302,10694,5402],{"class":5355},[5302,10696,5731],{"class":5312},[5302,10698,6351],{"class":5716},[5302,10700,10701],{"class":5486},"·досвід + ",[5302,10703,5723],{"class":5716},[5302,10705,5726],{"class":5312},[5302,10707,5289],{"class":5355},[5302,10709,5731],{"class":5312},[5302,10711,6351],{"class":5716},[5302,10713,5751],{"class":5486},[5302,10715,5359],{"class":5312},[5302,10717,10718],{"class":5304,"line":5550},[5302,10719,5339],{"emptyLinePlaceholder":5338},[5302,10721,10722,10724,10727],{"class":5304,"line":5569},[5302,10723,5526],{"class":5312},[5302,10725,10726],{"class":5486},"\"Залежність зарплати від досвіду роботи\"",[5302,10728,5590],{"class":5312},[5302,10730,10731,10733,10735,10737,10739,10741,10743,10745],{"class":5304,"line":5593},[5302,10732,6206],{"class":5456},[5302,10734,5483],{"class":5312},[5302,10736,6211],{"class":5355},[5302,10738,5371],{"class":5312},[5302,10740,5780],{"class":5456},[5302,10742,5483],{"class":5312},[5302,10744,6220],{"class":5486},[5302,10746,5359],{"class":5312},[5302,10748,10749,10751,10754,10756,10758,10760,10762],{"class":5304,"line":5635},[5302,10750,5504],{"class":5312},[5302,10752,10753],{"class":5486},"\"Досвід роботи (роки)\"",[5302,10755,5371],{"class":5312},[5302,10757,5771],{"class":5456},[5302,10759,5483],{"class":5312},[5302,10761,5407],{"class":5355},[5302,10763,5359],{"class":5312},[5302,10765,10766,10768,10771,10773,10775,10777,10779],{"class":5304,"line":5640},[5302,10767,5515],{"class":5312},[5302,10769,10770],{"class":5486},"\"Зарплата ($)\"",[5302,10772,5371],{"class":5312},[5302,10774,5771],{"class":5456},[5302,10776,5483],{"class":5312},[5302,10778,5407],{"class":5355},[5302,10780,5359],{"class":5312},[5302,10782,10783,10785,10787,10789,10791],{"class":5304,"line":5646},[5302,10784,5856],{"class":5312},[5302,10786,5771],{"class":5456},[5302,10788,5483],{"class":5312},[5302,10790,6379],{"class":5355},[5302,10792,5359],{"class":5312},[5302,10794,10795,10797,10799,10801,10803,10805,10807],{"class":5304,"line":5656},[5302,10796,5827],{"class":5312},[5302,10798,5830],{"class":5716},[5302,10800,5371],{"class":5312},[5302,10802,5615],{"class":5456},[5302,10804,5483],{"class":5312},[5302,10806,6271],{"class":5355},[5302,10808,5359],{"class":5312},[5302,10810,10811],{"class":5304,"line":5662},[5302,10812,5339],{"emptyLinePlaceholder":5338},[5302,10814,10815],{"class":5304,"line":5673},[5302,10816,6390],{"class":5312},[5302,10818,10819],{"class":5304,"line":5708},[5302,10820,5436],{"class":5312},[5892,10822,10823],{"v-slot:output":5297},[5895,10824],{"alt":10825,"className":10826,"src":10827},"Scatter з лінією тренду",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F06.png",[6776,10829,10830,10835,11014],{},[5255,10831,10832],{},[5224,10833,10834],{},"Як додати лінію тренду:",[5292,10836,10838],{"className":5294,"code":10837,"language":5296,"meta":5297,"style":5297},"# Метод 1: NumPy polyfit (універсальний)\nz = np.polyfit(x, y, deg=1)  # deg=1 → пряма, deg=2 → парабола\np = np.poly1d(z)\nax.plot(x_sorted, p(x_sorted), color=\"red\", linestyle=\"--\")\n\n# Метод 2: SciPy linregress (більше статистики)\nfrom scipy.stats import linregress\nslope, intercept, r_value, p_value, std_err = linregress(x, y)\nax.plot(x_sorted, slope * x_sorted + intercept, color=\"red\")\nprint(f\"R²= {r_value**2:.3f}\")  # Коефіцієнт детермінації\n\n# Метод 3: Seaborn regplot (найпростіше, але потребує seaborn)\nimport seaborn as sns\nsns.regplot(x=x, y=y, ax=ax, scatter_kws={\"alpha\": 0.5})\n",[5299,10839,10840,10845,10862,10866,10887,10891,10896,10909,10914,10927,10956,10960,10965,10977],{"__ignoreMap":5297},[5302,10841,10842],{"class":5304,"line":5305},[5302,10843,10844],{"class":5345},"# Метод 1: NumPy polyfit (універсальний)\n",[5302,10846,10847,10850,10853,10855,10857,10859],{"class":5304,"line":5322},[5302,10848,10849],{"class":5312},"z = np.polyfit(x, y, ",[5302,10851,10852],{"class":5456},"deg",[5302,10854,5483],{"class":5312},[5302,10856,5289],{"class":5355},[5302,10858,6094],{"class":5312},[5302,10860,10861],{"class":5345},"# deg=1 → пряма, deg=2 → парабола\n",[5302,10863,10864],{"class":5304,"line":5335},[5302,10865,5659],{"class":5312},[5302,10867,10868,10871,10873,10875,10877,10879,10881,10883,10885],{"class":5304,"line":5342},[5302,10869,10870],{"class":5312},"ax.plot(x_sorted, p(x_sorted), ",[5302,10872,5480],{"class":5456},[5302,10874,5483],{"class":5312},[5302,10876,6310],{"class":5486},[5302,10878,5371],{"class":5312},[5302,10880,5688],{"class":5456},[5302,10882,5483],{"class":5312},[5302,10884,6319],{"class":5486},[5302,10886,5359],{"class":5312},[5302,10888,10889],{"class":5304,"line":5349},[5302,10890,5339],{"emptyLinePlaceholder":5338},[5302,10892,10893],{"class":5304,"line":5362},[5302,10894,10895],{"class":5345},"# Метод 2: SciPy linregress (більше статистики)\n",[5302,10897,10898,10901,10904,10906],{"class":5304,"line":5384},[5302,10899,10900],{"class":5308},"from",[5302,10902,10903],{"class":5312}," scipy.stats ",[5302,10905,5309],{"class":5308},[5302,10907,10908],{"class":5312}," linregress\n",[5302,10910,10911],{"class":5304,"line":5416},[5302,10912,10913],{"class":5312},"slope, intercept, r_value, p_value, std_err = linregress(x, y)\n",[5302,10915,10916,10919,10921,10923,10925],{"class":5304,"line":5421},[5302,10917,10918],{"class":5312},"ax.plot(x_sorted, slope * x_sorted + intercept, ",[5302,10920,5480],{"class":5456},[5302,10922,5483],{"class":5312},[5302,10924,6310],{"class":5486},[5302,10926,5359],{"class":5312},[5302,10928,10929,10932,10934,10936,10939,10941,10944,10946,10949,10951,10953],{"class":5304,"line":5427},[5302,10930,10931],{"class":7867},"print",[5302,10933,8002],{"class":5312},[5302,10935,5717],{"class":5716},[5302,10937,10938],{"class":5486},"\"R²= ",[5302,10940,5723],{"class":5716},[5302,10942,10943],{"class":5312},"r_value**",[5302,10945,5702],{"class":5355},[5302,10947,10948],{"class":5716},":.3f}",[5302,10950,5751],{"class":5486},[5302,10952,6094],{"class":5312},[5302,10954,10955],{"class":5345},"# Коефіцієнт детермінації\n",[5302,10957,10958],{"class":5304,"line":5433},[5302,10959,5339],{"emptyLinePlaceholder":5338},[5302,10961,10962],{"class":5304,"line":5439},[5302,10963,10964],{"class":5345},"# Метод 3: Seaborn regplot (найпростіше, але потребує seaborn)\n",[5302,10966,10967,10969,10972,10974],{"class":5304,"line":5444},[5302,10968,5309],{"class":5308},[5302,10970,10971],{"class":5312}," seaborn ",[5302,10973,5316],{"class":5308},[5302,10975,10976],{"class":5312}," sns\n",[5302,10978,10979,10982,10984,10987,10989,10992,10994,10997,11000,11003,11006,11009,11011],{"class":5304,"line":5450},[5302,10980,10981],{"class":5312},"sns.regplot(",[5302,10983,7136],{"class":5456},[5302,10985,10986],{"class":5312},"=x, ",[5302,10988,7139],{"class":5456},[5302,10990,10991],{"class":5312},"=y, ",[5302,10993,8486],{"class":5456},[5302,10995,10996],{"class":5312},"=ax, ",[5302,10998,10999],{"class":5456},"scatter_kws",[5302,11001,11002],{"class":5312},"={",[5302,11004,11005],{"class":5486},"\"alpha\"",[5302,11007,11008],{"class":5312},": ",[5302,11010,8466],{"class":5355},[5302,11012,11013],{"class":5312},"})\n",[5255,11015,11016],{},[5895,11017],{"alt":11018,"className":11019,"src":11020},"Порівняння методів побудови лінії тренду",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F07.png",[5280,11022,11024,11025,11028],{"id":11023},"математичний-апарат-трендів-сигнатура-nppolyfit-та-вибір-ступеня-полінома","Математичний апарат трендів: сигнатура ",[5299,11026,11027],{},"np.polyfit"," та вибір ступеня полінома",[5255,11030,11031,11032,11035,11036,11039],{},"Лінія тренду є результатом підгонки математичної моделі за ",[5224,11033,11034],{},"методом найменших квадратів (OLS — Ordinary Least Squares)",". Функція ",[5299,11037,11038],{},"np.polyfit()"," обчислює коефіцієнти полінома $p(x) = c_d x^d + c_ x^{d-1} + \\dots + c_1 x + c_0$, що мінімізує суму квадратичних відхилень від точок даних.",[5292,11041,11043],{"className":5294,"code":11042,"language":5296,"meta":5297,"style":5297},"np.polyfit(\n    x, y,\n    deg: int,\n    rcond: float | None = None,\n    full: bool = False,\n    w: np.ndarray | None = None,\n    cov: bool | str = False\n) -> np.ndarray | tuple\n",[5299,11044,11045,11050,11054,11065,11084,11098,11111,11128],{"__ignoreMap":5297},[5302,11046,11047],{"class":5304,"line":5305},[5302,11048,11049],{"class":5312},"np.polyfit(\n",[5302,11051,11052],{"class":5304,"line":5322},[5302,11053,6951],{"class":5312},[5302,11055,11056,11059,11063],{"class":5304,"line":5335},[5302,11057,11058],{"class":5312},"    deg: ",[5302,11060,11062],{"class":11061},"sN1BT","int",[5302,11064,5705],{"class":5312},[5302,11066,11067,11070,11072,11075,11077,11080,11082],{"class":5304,"line":5342},[5302,11068,11069],{"class":5312},"    rcond: ",[5302,11071,7315],{"class":11061},[5302,11073,11074],{"class":5312}," | ",[5302,11076,6961],{"class":5456},[5302,11078,11079],{"class":5312}," = ",[5302,11081,6961],{"class":5716},[5302,11083,5705],{"class":5312},[5302,11085,11086,11089,11092,11094,11096],{"class":5304,"line":5349},[5302,11087,11088],{"class":5312},"    full: ",[5302,11090,11091],{"class":5456},"bool",[5302,11093,11079],{"class":5312},[5302,11095,7072],{"class":5716},[5302,11097,5705],{"class":5312},[5302,11099,11100,11103,11105,11107,11109],{"class":5304,"line":5362},[5302,11101,11102],{"class":5312},"    w: np.ndarray | ",[5302,11104,6961],{"class":5456},[5302,11106,11079],{"class":5312},[5302,11108,6961],{"class":5716},[5302,11110,5705],{"class":5312},[5302,11112,11113,11116,11118,11120,11123,11125],{"class":5304,"line":5384},[5302,11114,11115],{"class":5312},"    cov: ",[5302,11117,11091],{"class":11061},[5302,11119,11074],{"class":5312},[5302,11121,11122],{"class":5456},"str",[5302,11124,11079],{"class":5312},[5302,11126,11127],{"class":5716},"False\n",[5302,11129,11130,11132,11134,11137],{"class":5304,"line":5416},[5302,11131,7095],{"class":5312},[5302,11133,7099],{"class":7098},[5302,11135,11136],{"class":5312}," np.ndarray | ",[5302,11138,11139],{"class":11061},"tuple\n",[7104,11141,11142,11155],{},[7107,11143,11144],{},[7110,11145,11146,11148,11150,11152],{},[7113,11147,7116],{"align":7115},[7113,11149,7119],{"align":7115},[7113,11151,7122],{"align":7115},[7113,11153,11154],{"align":7115},"Опис та інженерне значення",[7127,11156,11157,11176,11205,11224,11245],{},[7110,11158,11159,11165,11169,11173],{},[7132,11160,11161,5371,11163],{"align":7115},[5299,11162,7136],{},[5299,11164,7139],{},[7132,11166,11167],{"align":7115},[5299,11168,7144],{},[7132,11170,11171],{"align":7115},[5259,11172,7149],{},[7132,11174,11175],{"align":7115},"Масиви координат спостережень однакового розміру.",[7110,11177,11178,11182,11186,11191],{},[7132,11179,11180],{"align":7115},[5299,11181,10852],{},[7132,11183,11184],{"align":7115},[5299,11185,11062],{},[7132,11187,11188],{"align":7115},[5259,11189,11190],{},"обов'язковий",[7132,11192,11193,11008,11196,11198,11199,11201,11202,11204],{"align":7115},[5224,11194,11195],{},"Степінь апроксимуючого полінома",[5299,11197,5289],{}," — пряма, ",[5299,11200,5702],{}," — парабола, ",[5299,11203,8768],{}," — кубічна крива.",[7110,11206,11207,11212,11217,11221],{},[7132,11208,11209],{"align":7115},[5299,11210,11211],{},"w",[7132,11213,11214],{"align":7115},[5299,11215,11216],{},"ArrayLike | None",[7132,11218,11219],{"align":7115},[5299,11220,6961],{},[7132,11222,11223],{"align":7115},"Ваги для точок даних ($w_i = 1\u002F\\sigma_i$). Дозволяє враховувати точність окремих вимірів.",[7110,11225,11226,11231,11235,11239],{},[7132,11227,11228],{"align":7115},[5299,11229,11230],{},"full",[7132,11232,11233],{"align":7115},[5299,11234,11091],{},[7132,11236,11237],{"align":7115},[5299,11238,7072],{},[7132,11240,11241,11242,11244],{"align":7115},"Якщо ",[5299,11243,5830],{},", повертає додаткову діагностику: нев'язки (residuals), ранг матриці, сингулярні числа.",[7110,11246,11247,11252,11257,11261],{},[7132,11248,11249],{"align":7115},[5299,11250,11251],{},"cov",[7132,11253,11254],{"align":7115},[5299,11255,11256],{},"bool | str",[7132,11258,11259],{"align":7115},[5299,11260,7072],{},[7132,11262,11241,11263,11265],{"align":7115},[5299,11264,5830],{},", повертає коваріаційну матрицю оцінених коефіцієнтів (для побудови довірчих інтервалів).",[5271,11267,11269,11278,11823],{"title":11268,"kernel":5274},"polyfit_degrees.ipynb",[5276,11270,11271,11275],{"type":5278},[5280,11272,11274],{"id":11273},"дослідження-степенів-полінома-від-наближення-до-оверфіттінгу","Дослідження степенів полінома: від наближення до оверфіттінгу",[5255,11276,11277],{},"Порівняння лінійної апроксимації (deg=1), параболи (deg=2), кубічного тренду (deg=3) та небезпеки перенавчання (deg=10)",[5276,11279,11281,11816],{"execution-count":5289,"execution-time":11280},"0.28s",[5292,11282,11284],{"className":5294,"code":11283,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(42)\nx = np.linspace(1, 10, 40)\n# Нелінійний процес із шумом: сповільнений логарифмічний ріст + прискорення наприкінці\ny = 3.5 * np.log(x) + 0.15 * (x - 4)**2 + rng.normal(0, 0.4, 40)\nx_dense = np.linspace(1, 10, 200)\n\nfig, axes = plt.subplots(2, 2, figsize=(13, 9.5))\ndegs = [1, 2, 3, 10]\nconfigs = [\n    (\"deg=1 (Лінійний тренд)\", \"Підходить для строго лінійних залежностей\", '#dc2626'),\n    (\"deg=2 (Квадратична парабола)\", \"Враховує прискорення росту або вигин\", '#2563eb'),\n    (\"deg=3 (Кубічний поліном)\", \"Гнучка апроксимація складної траєкторії\", '#16a34a'),\n    (\"deg=10 (Оверфіттінг \u002F Перенавчання)\", \"Небезпека: модель апроксимує випадковий шум!\", '#d97706')\n]\n\nfor idx, (deg, (t_main, t_sub, col)) in enumerate(zip(degs, configs)):\n    ax = axes[idx \u002F\u002F 2, idx % 2]\n    ax.scatter(x, y, color='#475569', s=55, alpha=0.75, edgecolor='#0f172a', label=\"Виміри\")\n    \n    # Розрахунок полінома\n    coefs = np.polyfit(x, y, deg)\n    poly = np.poly1d(coefs)\n    y_dense = poly(x_dense)\n    \n    if deg == 10:\n        ax.set_ylim(y.min() - 1.5, y.max() + 1.5)\n        \n    ax.plot(x_dense, y_dense, color=col, linewidth=2.2, label=f\"polyfit(deg={deg})\")\n    ax.set_title(f\"{t_main}\\n{t_sub}\", fontweight='bold')\n    ax.set_xlabel(\"Навантаження (X)\")\n    ax.set_ylabel(\"Час виконання (Y)\")\n    ax.grid(True, linestyle=':', alpha=0.6)\n    ax.legend()\n\nplt.tight_layout()\nplt.show()\n",[5299,11285,11286,11296,11306,11310,11318,11335,11340,11378,11395,11399,11423,11444,11449,11470,11488,11507,11526,11530,11534,11553,11567,11616,11621,11626,11631,11636,11641,11645,11658,11672,11677,11717,11754,11764,11774,11799,11804,11808,11812],{"__ignoreMap":5297},[5302,11287,11288,11290,11292,11294],{"class":5304,"line":5305},[5302,11289,5309],{"class":5308},[5302,11291,5313],{"class":5312},[5302,11293,5316],{"class":5308},[5302,11295,5319],{"class":5312},[5302,11297,11298,11300,11302,11304],{"class":5304,"line":5322},[5302,11299,5309],{"class":5308},[5302,11301,5327],{"class":5312},[5302,11303,5316],{"class":5308},[5302,11305,5332],{"class":5312},[5302,11307,11308],{"class":5304,"line":5335},[5302,11309,5339],{"emptyLinePlaceholder":5338},[5302,11311,11312,11314,11316],{"class":5304,"line":5342},[5302,11313,5352],{"class":5312},[5302,11315,5356],{"class":5355},[5302,11317,5359],{"class":5312},[5302,11319,11320,11323,11325,11327,11329,11331,11333],{"class":5304,"line":5349},[5302,11321,11322],{"class":5312},"x = np.linspace(",[5302,11324,5289],{"class":5355},[5302,11326,5371],{"class":5312},[5302,11328,5368],{"class":5355},[5302,11330,5371],{"class":5312},[5302,11332,6580],{"class":5355},[5302,11334,5359],{"class":5312},[5302,11336,11337],{"class":5304,"line":5362},[5302,11338,11339],{"class":5345},"# Нелінійний процес із шумом: сповільнений логарифмічний ріст + прискорення наприкінці\n",[5302,11341,11342,11345,11348,11351,11353,11356,11358,11361,11363,11365,11367,11369,11372,11374,11376],{"class":5304,"line":5384},[5302,11343,11344],{"class":5312},"y = ",[5302,11346,11347],{"class":5355},"3.5",[5302,11349,11350],{"class":5312}," * np.log(x) + ",[5302,11352,7892],{"class":5355},[5302,11354,11355],{"class":5312}," * (x - ",[5302,11357,5468],{"class":5355},[5302,11359,11360],{"class":5312},")**",[5302,11362,5702],{"class":5355},[5302,11364,8771],{"class":5312},[5302,11366,5402],{"class":5355},[5302,11368,5371],{"class":5312},[5302,11370,11371],{"class":5355},"0.4",[5302,11373,5371],{"class":5312},[5302,11375,6580],{"class":5355},[5302,11377,5359],{"class":5312},[5302,11379,11380,11383,11385,11387,11389,11391,11393],{"class":5304,"line":5416},[5302,11381,11382],{"class":5312},"x_dense = np.linspace(",[5302,11384,5289],{"class":5355},[5302,11386,5371],{"class":5312},[5302,11388,5368],{"class":5355},[5302,11390,5371],{"class":5312},[5302,11392,5374],{"class":5355},[5302,11394,5359],{"class":5312},[5302,11396,11397],{"class":5304,"line":5421},[5302,11398,5339],{"emptyLinePlaceholder":5338},[5302,11400,11401,11403,11405,11407,11409,11411,11413,11415,11417,11419,11421],{"class":5304,"line":5427},[5302,11402,7436],{"class":5312},[5302,11404,5702],{"class":5355},[5302,11406,5371],{"class":5312},[5302,11408,5702],{"class":5355},[5302,11410,5371],{"class":5312},[5302,11412,5457],{"class":5456},[5302,11414,5460],{"class":5312},[5302,11416,7451],{"class":5355},[5302,11418,5371],{"class":5312},[5302,11420,7456],{"class":5355},[5302,11422,5471],{"class":5312},[5302,11424,11425,11428,11430,11432,11434,11436,11438,11440,11442],{"class":5304,"line":5433},[5302,11426,11427],{"class":5312},"degs = [",[5302,11429,5289],{"class":5355},[5302,11431,5371],{"class":5312},[5302,11433,5702],{"class":5355},[5302,11435,5371],{"class":5312},[5302,11437,8768],{"class":5355},[5302,11439,5371],{"class":5312},[5302,11441,5368],{"class":5355},[5302,11443,8797],{"class":5312},[5302,11445,11446],{"class":5304,"line":5439},[5302,11447,11448],{"class":5312},"configs = [\n",[5302,11450,11451,11454,11457,11459,11462,11464,11467],{"class":5304,"line":5444},[5302,11452,11453],{"class":5312},"    (",[5302,11455,11456],{"class":5486},"\"deg=1 (Лінійний тренд)\"",[5302,11458,5371],{"class":5312},[5302,11460,11461],{"class":5486},"\"Підходить для строго лінійних залежностей\"",[5302,11463,5371],{"class":5312},[5302,11465,11466],{"class":5486},"'#dc2626'",[5302,11468,11469],{"class":5312},"),\n",[5302,11471,11472,11474,11477,11479,11482,11484,11486],{"class":5304,"line":5450},[5302,11473,11453],{"class":5312},[5302,11475,11476],{"class":5486},"\"deg=2 (Квадратична парабола)\"",[5302,11478,5371],{"class":5312},[5302,11480,11481],{"class":5486},"\"Враховує прискорення росту або вигин\"",[5302,11483,5371],{"class":5312},[5302,11485,5487],{"class":5486},[5302,11487,11469],{"class":5312},[5302,11489,11490,11492,11495,11497,11500,11502,11505],{"class":5304,"line":5474},[5302,11491,11453],{"class":5312},[5302,11493,11494],{"class":5486},"\"deg=3 (Кубічний поліном)\"",[5302,11496,5371],{"class":5312},[5302,11498,11499],{"class":5486},"\"Гнучка апроксимація складної траєкторії\"",[5302,11501,5371],{"class":5312},[5302,11503,11504],{"class":5486},"'#16a34a'",[5302,11506,11469],{"class":5312},[5302,11508,11509,11511,11514,11516,11519,11521,11524],{"class":5304,"line":5501},[5302,11510,11453],{"class":5312},[5302,11512,11513],{"class":5486},"\"deg=10 (Оверфіттінг \u002F Перенавчання)\"",[5302,11515,5371],{"class":5312},[5302,11517,11518],{"class":5486},"\"Небезпека: модель апроксимує випадковий шум!\"",[5302,11520,5371],{"class":5312},[5302,11522,11523],{"class":5486},"'#d97706'",[5302,11525,5359],{"class":5312},[5302,11527,11528],{"class":5304,"line":5512},[5302,11529,8797],{"class":5312},[5302,11531,11532],{"class":5304,"line":5523},[5302,11533,5339],{"emptyLinePlaceholder":5338},[5302,11535,11536,11538,11541,11543,11545,11547,11550],{"class":5304,"line":5534},[5302,11537,7858],{"class":5308},[5302,11539,11540],{"class":5312}," idx, (deg, (t_main, t_sub, col)) ",[5302,11542,7864],{"class":5308},[5302,11544,7868],{"class":7867},[5302,11546,8002],{"class":5312},[5302,11548,11549],{"class":7867},"zip",[5302,11551,11552],{"class":5312},"(degs, configs)):\n",[5302,11554,11555,11558,11560,11563,11565],{"class":5304,"line":5539},[5302,11556,11557],{"class":5312},"    ax = axes[idx \u002F\u002F ",[5302,11559,5702],{"class":5355},[5302,11561,11562],{"class":5312},", idx % ",[5302,11564,5702],{"class":5355},[5302,11566,8797],{"class":5312},[5302,11568,11569,11572,11574,11576,11579,11581,11583,11585,11588,11590,11592,11594,11596,11598,11600,11602,11605,11607,11609,11611,11614],{"class":5304,"line":5544},[5302,11570,11571],{"class":5312},"    ax.scatter(x, y, ",[5302,11573,5480],{"class":5456},[5302,11575,5483],{"class":5312},[5302,11577,11578],{"class":5486},"'#475569'",[5302,11580,5371],{"class":5312},[5302,11582,5492],{"class":5456},[5302,11584,5483],{"class":5312},[5302,11586,11587],{"class":5355},"55",[5302,11589,5371],{"class":5312},[5302,11591,5615],{"class":5456},[5302,11593,5483],{"class":5312},[5302,11595,5620],{"class":5355},[5302,11597,5371],{"class":5312},[5302,11599,5878],{"class":5456},[5302,11601,5483],{"class":5312},[5302,11603,11604],{"class":5486},"'#0f172a'",[5302,11606,5371],{"class":5312},[5302,11608,5625],{"class":5456},[5302,11610,5483],{"class":5312},[5302,11612,11613],{"class":5486},"\"Виміри\"",[5302,11615,5359],{"class":5312},[5302,11617,11618],{"class":5304,"line":5550},[5302,11619,11620],{"class":5312},"    \n",[5302,11622,11623],{"class":5304,"line":5569},[5302,11624,11625],{"class":5345},"    # Розрахунок полінома\n",[5302,11627,11628],{"class":5304,"line":5593},[5302,11629,11630],{"class":5312},"    coefs = np.polyfit(x, y, deg)\n",[5302,11632,11633],{"class":5304,"line":5635},[5302,11634,11635],{"class":5312},"    poly = np.poly1d(coefs)\n",[5302,11637,11638],{"class":5304,"line":5640},[5302,11639,11640],{"class":5312},"    y_dense = poly(x_dense)\n",[5302,11642,11643],{"class":5304,"line":5646},[5302,11644,11620],{"class":5312},[5302,11646,11647,11650,11653,11655],{"class":5304,"line":5656},[5302,11648,11649],{"class":5308},"    if",[5302,11651,11652],{"class":5312}," deg == ",[5302,11654,5368],{"class":5355},[5302,11656,11657],{"class":5312},":\n",[5302,11659,11660,11663,11665,11668,11670],{"class":5304,"line":5662},[5302,11661,11662],{"class":5312},"        ax.set_ylim(y.min() - ",[5302,11664,6673],{"class":5355},[5302,11666,11667],{"class":5312},", y.max() + ",[5302,11669,6673],{"class":5355},[5302,11671,5359],{"class":5312},[5302,11673,11674],{"class":5304,"line":5673},[5302,11675,11676],{"class":5312},"        \n",[5302,11678,11679,11682,11684,11687,11689,11691,11694,11696,11698,11700,11702,11705,11707,11709,11712,11715],{"class":5304,"line":5708},[5302,11680,11681],{"class":5312},"    ax.plot(x_dense, y_dense, ",[5302,11683,5480],{"class":5456},[5302,11685,11686],{"class":5312},"=col, ",[5302,11688,5606],{"class":5456},[5302,11690,5483],{"class":5312},[5302,11692,11693],{"class":5355},"2.2",[5302,11695,5371],{"class":5312},[5302,11697,5625],{"class":5456},[5302,11699,5483],{"class":5312},[5302,11701,5717],{"class":5716},[5302,11703,11704],{"class":5486},"\"polyfit(deg=",[5302,11706,5723],{"class":5716},[5302,11708,10852],{"class":5312},[5302,11710,11711],{"class":5716},"}",[5302,11713,11714],{"class":5486},")\"",[5302,11716,5359],{"class":5312},[5302,11718,11719,11722,11724,11726,11728,11731,11733,11735,11737,11740,11742,11744,11746,11748,11750,11752],{"class":5304,"line":5756},[5302,11720,11721],{"class":5312},"    ax.set_title(",[5302,11723,5717],{"class":5716},[5302,11725,5751],{"class":5486},[5302,11727,5723],{"class":5716},[5302,11729,11730],{"class":5312},"t_main",[5302,11732,11711],{"class":5716},[5302,11734,8856],{"class":8855},[5302,11736,5723],{"class":5716},[5302,11738,11739],{"class":5312},"t_sub",[5302,11741,11711],{"class":5716},[5302,11743,5751],{"class":5486},[5302,11745,5371],{"class":5312},[5302,11747,5780],{"class":5456},[5302,11749,5483],{"class":5312},[5302,11751,5785],{"class":5486},[5302,11753,5359],{"class":5312},[5302,11755,11756,11759,11762],{"class":5304,"line":5761},[5302,11757,11758],{"class":5312},"    ax.set_xlabel(",[5302,11760,11761],{"class":5486},"\"Навантаження (X)\"",[5302,11763,5359],{"class":5312},[5302,11765,11766,11769,11772],{"class":5304,"line":5790},[5302,11767,11768],{"class":5312},"    ax.set_ylabel(",[5302,11770,11771],{"class":5486},"\"Час виконання (Y)\"",[5302,11773,5359],{"class":5312},[5302,11775,11776,11779,11781,11783,11785,11787,11789,11791,11793,11795,11797],{"class":5304,"line":5807},[5302,11777,11778],{"class":5312},"    ax.grid(",[5302,11780,5830],{"class":5716},[5302,11782,5371],{"class":5312},[5302,11784,5688],{"class":5456},[5302,11786,5483],{"class":5312},[5302,11788,5839],{"class":5486},[5302,11790,5371],{"class":5312},[5302,11792,5615],{"class":5456},[5302,11794,5483],{"class":5312},[5302,11796,5848],{"class":5355},[5302,11798,5359],{"class":5312},[5302,11800,11801],{"class":5304,"line":5824},[5302,11802,11803],{"class":5312},"    ax.legend()\n",[5302,11805,11806],{"class":5304,"line":5853},[5302,11807,5339],{"emptyLinePlaceholder":5338},[5302,11809,11810],{"class":5304,"line":5888},[5302,11811,6390],{"class":5312},[5302,11813,11814],{"class":5304,"line":8362},[5302,11815,5436],{"class":5312},[5892,11817,11818],{"v-slot:output":5297},[5895,11819],{"alt":11820,"className":11821,"src":11822},"Порівняння степенів полінома polyfit",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F15.png",[5276,11824,11825,11829],{"type":5278},[5280,11826,11828],{"id":11827},"інженерне-застереження-феномен-рунге-та-перенавчання-overfitting","Інженерне застереження: феномен Рунге та перенавчання (Overfitting)",[5198,11830,11831,11844],{},[5201,11832,11833,11843],{},[5224,11834,11835,11836,7296,11839,11842],{},"Низькі степені (",[5299,11837,11838],{},"deg=1",[5299,11840,11841],{},"deg=2","):"," забезпечують надійне згладжування випадкових коливань і дозволяють робити стійкі прогнози (екстраполяцію).",[5201,11845,11846,11852],{},[5224,11847,11848,11849,11842],{},"Високі степені (",[5299,11850,11851],{},"deg >= 8"," викликають катастрофічні коливання на краях інтервалу (феномен Рунге). Поліном намагається пройти точно крізь кожен шумовий викид, втрачаючи фізичну суть залежності. Завжди починайте з найпростішої моделі!",[5247,11854],{},[5250,11856,11858],{"id":11857},"колірне-кодування-третьої-змінної","Колірне кодування третьої змінної",[5255,11860,11861,11862,11865,11866,7296,11869,11872],{},"Іноді потрібно показати ",[5224,11863,11864],{},"три"," змінні на одному scatter plot. Третю змінну можна закодувати ",[5224,11867,11868],{},"кольором",[5224,11870,11871],{},"розміром"," точок.",[5271,11874,11876,11885,12317],{"title":11875},"color_coding.ipynb",[5276,11877,11878,11882],{"type":5278},[5280,11879,11881],{"id":11880},"візуалізація-трьох-змінних-одночасно","Візуалізація трьох змінних одночасно",[5255,11883,11884],{},"Розмір точок = ціна, колір = район",[5276,11886,11887,12310],{"execution-count":5289},[5292,11888,11890],{"className":5294,"code":11889,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Дані про квартири: площа, кімнати, район (0=Схід, 1=Центр, 2=Захід)\nrng = np.random.default_rng(seed=42)\nn = 150\narea = rng.uniform(30, 120, n)\nrooms = rng.integers(1, 5, n)\ndistrict = rng.choice([0, 1, 2], n, p=[0.4, 0.3, 0.3])\n\n# Ціна залежить від площі та району\nprice_per_sqm = np.array([400, 600, 500])  # Центр дорожчий\nprice = price_per_sqm[district] * area + rng.normal(0, 5000, n)\n\nfig, ax = plt.subplots(figsize=(12, 7))\n\n# Scatter з кольоровим кодуванням району\ncolors = [\"#FF6B6B\", \"#4ECDC4\", \"#95E1D3\"]  # Схід, Центр, Захід\ndistrict_names = [\"Схід\", \"Центр\", \"Захід\"]\n\nfor i, (color, name) in enumerate(zip(colors, district_names)):\n    mask = district == i\n    ax.scatter(area[mask], price[mask], c=color, s=80, alpha=0.7, \n               edgecolor=\"black\", linewidth=0.5, label=name)\n\nax.set_title(\"Ціна квартир: площа vs район\", fontsize=14, fontweight=\"bold\")\nax.set_xlabel(\"Площа (м²)\", fontsize=12)\nax.set_ylabel(\"Ціна ($)\", fontsize=12)\nax.legend(title=\"Район\", fontsize=11)\nax.grid(True, alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5299,11891,11892,11902,11912,11916,11921,11933,11941,11954,11967,12003,12007,12012,12035,12049,12053,12069,12073,12078,12102,12122,12126,12144,12149,12175,12199,12203,12228,12244,12260,12282,12298,12302,12306],{"__ignoreMap":5297},[5302,11893,11894,11896,11898,11900],{"class":5304,"line":5305},[5302,11895,5309],{"class":5308},[5302,11897,5313],{"class":5312},[5302,11899,5316],{"class":5308},[5302,11901,5319],{"class":5312},[5302,11903,11904,11906,11908,11910],{"class":5304,"line":5322},[5302,11905,5309],{"class":5308},[5302,11907,5327],{"class":5312},[5302,11909,5316],{"class":5308},[5302,11911,5332],{"class":5312},[5302,11913,11914],{"class":5304,"line":5335},[5302,11915,5339],{"emptyLinePlaceholder":5338},[5302,11917,11918],{"class":5304,"line":5342},[5302,11919,11920],{"class":5345},"# Дані про квартири: площа, кімнати, район (0=Схід, 1=Центр, 2=Захід)\n",[5302,11922,11923,11925,11927,11929,11931],{"class":5304,"line":5349},[5302,11924,5352],{"class":5312},[5302,11926,6068],{"class":5456},[5302,11928,5483],{"class":5312},[5302,11930,5356],{"class":5355},[5302,11932,5359],{"class":5312},[5302,11934,11935,11938],{"class":5304,"line":5362},[5302,11936,11937],{"class":5312},"n = ",[5302,11939,11940],{"class":5355},"150\n",[5302,11942,11943,11945,11947,11949,11951],{"class":5304,"line":5384},[5302,11944,6079],{"class":5312},[5302,11946,6082],{"class":5355},[5302,11948,5371],{"class":5312},[5302,11950,8121],{"class":5355},[5302,11952,11953],{"class":5312},", n)\n",[5302,11955,11956,11959,11961,11963,11965],{"class":5304,"line":5416},[5302,11957,11958],{"class":5312},"rooms = rng.integers(",[5302,11960,5289],{"class":5355},[5302,11962,5371],{"class":5312},[5302,11964,6585],{"class":5355},[5302,11966,11953],{"class":5312},[5302,11968,11969,11972,11974,11976,11978,11980,11982,11985,11987,11990,11992,11994,11996,11998,12000],{"class":5304,"line":5421},[5302,11970,11971],{"class":5312},"district = rng.choice([",[5302,11973,5402],{"class":5355},[5302,11975,5371],{"class":5312},[5302,11977,5289],{"class":5355},[5302,11979,5371],{"class":5312},[5302,11981,5702],{"class":5355},[5302,11983,11984],{"class":5312},"], n, ",[5302,11986,5255],{"class":5456},[5302,11988,11989],{"class":5312},"=[",[5302,11991,11371],{"class":5355},[5302,11993,5371],{"class":5312},[5302,11995,6271],{"class":5355},[5302,11997,5371],{"class":5312},[5302,11999,6271],{"class":5355},[5302,12001,12002],{"class":5312},"])\n",[5302,12004,12005],{"class":5304,"line":5427},[5302,12006,5339],{"emptyLinePlaceholder":5338},[5302,12008,12009],{"class":5304,"line":5433},[5302,12010,12011],{"class":5345},"# Ціна залежить від площі та району\n",[5302,12013,12014,12017,12020,12022,12025,12027,12029,12032],{"class":5304,"line":5439},[5302,12015,12016],{"class":5312},"price_per_sqm = np.array([",[5302,12018,12019],{"class":5355},"400",[5302,12021,5371],{"class":5312},[5302,12023,12024],{"class":5355},"600",[5302,12026,5371],{"class":5312},[5302,12028,6105],{"class":5355},[5302,12030,12031],{"class":5312},"])  ",[5302,12033,12034],{"class":5345},"# Центр дорожчий\n",[5302,12036,12037,12040,12042,12044,12047],{"class":5304,"line":5444},[5302,12038,12039],{"class":5312},"price = price_per_sqm[district] * area + rng.normal(",[5302,12041,5402],{"class":5355},[5302,12043,5371],{"class":5312},[5302,12045,12046],{"class":5355},"5000",[5302,12048,11953],{"class":5312},[5302,12050,12051],{"class":5304,"line":5450},[5302,12052,5339],{"emptyLinePlaceholder":5338},[5302,12054,12055,12057,12059,12061,12063,12065,12067],{"class":5304,"line":5474},[5302,12056,5453],{"class":5312},[5302,12058,5457],{"class":5456},[5302,12060,5460],{"class":5312},[5302,12062,5407],{"class":5355},[5302,12064,5371],{"class":5312},[5302,12066,5559],{"class":5355},[5302,12068,5471],{"class":5312},[5302,12070,12071],{"class":5304,"line":5501},[5302,12072,5339],{"emptyLinePlaceholder":5338},[5302,12074,12075],{"class":5304,"line":5512},[5302,12076,12077],{"class":5345},"# Scatter з кольоровим кодуванням району\n",[5302,12079,12080,12083,12086,12088,12091,12093,12096,12099],{"class":5304,"line":5523},[5302,12081,12082],{"class":5312},"colors = [",[5302,12084,12085],{"class":5486},"\"#FF6B6B\"",[5302,12087,5371],{"class":5312},[5302,12089,12090],{"class":5486},"\"#4ECDC4\"",[5302,12092,5371],{"class":5312},[5302,12094,12095],{"class":5486},"\"#95E1D3\"",[5302,12097,12098],{"class":5312},"]  ",[5302,12100,12101],{"class":5345},"# Схід, Центр, Захід\n",[5302,12103,12104,12107,12110,12112,12115,12117,12120],{"class":5304,"line":5534},[5302,12105,12106],{"class":5312},"district_names = [",[5302,12108,12109],{"class":5486},"\"Схід\"",[5302,12111,5371],{"class":5312},[5302,12113,12114],{"class":5486},"\"Центр\"",[5302,12116,5371],{"class":5312},[5302,12118,12119],{"class":5486},"\"Захід\"",[5302,12121,8797],{"class":5312},[5302,12123,12124],{"class":5304,"line":5539},[5302,12125,5339],{"emptyLinePlaceholder":5338},[5302,12127,12128,12130,12133,12135,12137,12139,12141],{"class":5304,"line":5544},[5302,12129,7858],{"class":5308},[5302,12131,12132],{"class":5312}," i, (color, name) ",[5302,12134,7864],{"class":5308},[5302,12136,7868],{"class":7867},[5302,12138,8002],{"class":5312},[5302,12140,11549],{"class":7867},[5302,12142,12143],{"class":5312},"(colors, district_names)):\n",[5302,12145,12146],{"class":5304,"line":5550},[5302,12147,12148],{"class":5312},"    mask = district == i\n",[5302,12150,12151,12154,12156,12159,12161,12163,12165,12167,12169,12171,12173],{"class":5304,"line":5569},[5302,12152,12153],{"class":5312},"    ax.scatter(area[mask], price[mask], ",[5302,12155,7182],{"class":5456},[5302,12157,12158],{"class":5312},"=color, ",[5302,12160,5492],{"class":5456},[5302,12162,5483],{"class":5312},[5302,12164,6168],{"class":5355},[5302,12166,5371],{"class":5312},[5302,12168,5615],{"class":5456},[5302,12170,5483],{"class":5312},[5302,12172,6836],{"class":5355},[5302,12174,5590],{"class":5312},[5302,12176,12177,12180,12182,12184,12186,12188,12190,12192,12194,12196],{"class":5304,"line":5593},[5302,12178,12179],{"class":5456},"               edgecolor",[5302,12181,5483],{"class":5312},[5302,12183,6867],{"class":5486},[5302,12185,5371],{"class":5312},[5302,12187,5606],{"class":5456},[5302,12189,5483],{"class":5312},[5302,12191,8466],{"class":5355},[5302,12193,5371],{"class":5312},[5302,12195,5625],{"class":5456},[5302,12197,12198],{"class":5312},"=name)\n",[5302,12200,12201],{"class":5304,"line":5635},[5302,12202,5339],{"emptyLinePlaceholder":5338},[5302,12204,12205,12207,12210,12212,12214,12216,12218,12220,12222,12224,12226],{"class":5304,"line":5640},[5302,12206,5526],{"class":5312},[5302,12208,12209],{"class":5486},"\"Ціна квартир: площа vs район\"",[5302,12211,5371],{"class":5312},[5302,12213,5771],{"class":5456},[5302,12215,5483],{"class":5312},[5302,12217,6211],{"class":5355},[5302,12219,5371],{"class":5312},[5302,12221,5780],{"class":5456},[5302,12223,5483],{"class":5312},[5302,12225,6220],{"class":5486},[5302,12227,5359],{"class":5312},[5302,12229,12230,12232,12234,12236,12238,12240,12242],{"class":5304,"line":5646},[5302,12231,5504],{"class":5312},[5302,12233,6229],{"class":5486},[5302,12235,5371],{"class":5312},[5302,12237,5771],{"class":5456},[5302,12239,5483],{"class":5312},[5302,12241,5407],{"class":5355},[5302,12243,5359],{"class":5312},[5302,12245,12246,12248,12250,12252,12254,12256,12258],{"class":5304,"line":5656},[5302,12247,5515],{"class":5312},[5302,12249,6246],{"class":5486},[5302,12251,5371],{"class":5312},[5302,12253,5771],{"class":5456},[5302,12255,5483],{"class":5312},[5302,12257,5407],{"class":5355},[5302,12259,5359],{"class":5312},[5302,12261,12262,12264,12267,12269,12272,12274,12276,12278,12280],{"class":5304,"line":5662},[5302,12263,5856],{"class":5312},[5302,12265,12266],{"class":5456},"title",[5302,12268,5483],{"class":5312},[5302,12270,12271],{"class":5486},"\"Район\"",[5302,12273,5371],{"class":5312},[5302,12275,5771],{"class":5456},[5302,12277,5483],{"class":5312},[5302,12279,6379],{"class":5355},[5302,12281,5359],{"class":5312},[5302,12283,12284,12286,12288,12290,12292,12294,12296],{"class":5304,"line":5673},[5302,12285,5827],{"class":5312},[5302,12287,5830],{"class":5716},[5302,12289,5371],{"class":5312},[5302,12291,5615],{"class":5456},[5302,12293,5483],{"class":5312},[5302,12295,6271],{"class":5355},[5302,12297,5359],{"class":5312},[5302,12299,12300],{"class":5304,"line":5708},[5302,12301,5339],{"emptyLinePlaceholder":5338},[5302,12303,12304],{"class":5304,"line":5756},[5302,12305,6390],{"class":5312},[5302,12307,12308],{"class":5304,"line":5761},[5302,12309,5436],{"class":5312},[5892,12311,12312],{"v-slot:output":5297},[5895,12313],{"alt":12314,"className":12315,"src":12316},"Scatter з кольоровим кодуванням",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F08.png",[5276,12318,12319,12321,12322,12325,12326,12329,12330,12333],{"type":5278},[5224,12320,10421],{}," одразу видно, що квартири в ",[5224,12323,12324],{},"Центрі"," (бірюзові точки) дорожчі за ту саму площу, ніж на ",[5224,12327,12328],{},"Сході"," (червоні) або ",[5224,12331,12332],{},"Заході"," (зелені).",[5280,12335,12337],{"id":12336},"розмір-точок-як-четверта-змінна","Розмір точок як четверта змінна",[5271,12339,12341],{"title":12340},"size_coding.ipynb",[5276,12342,12343,12791],{"execution-count":5289},[5292,12344,12346],{"className":5294,"code":12345,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Дані про міста: населення, ВВП на душу, регіон, площа міста\nrng = np.random.default_rng(seed=123)\nn = 50\npopulation = rng.uniform(100, 5000, n)  # тисяч людей\ngdp_per_capita = rng.uniform(5000, 50000, n)  # $\ncity_area = rng.uniform(50, 500, n)  # км²\n\nfig, ax = plt.subplots(figsize=(12, 7))\n\n# Розмір точок пропорційний площі міста\nscatter = ax.scatter(population, gdp_per_capita, s=city_area, alpha=0.6, \n                     c=city_area, cmap=\"viridis\", edgecolor=\"black\", linewidth=1)\n\nax.set_title(\"Населення vs ВВП на душу (розмір точки = площа міста)\", \n             fontsize=14, fontweight=\"bold\")\nax.set_xlabel(\"Населення (тис. осіб)\", fontsize=12)\nax.set_ylabel(\"ВВП на душу ($)\", fontsize=12)\nax.grid(True, alpha=0.3)\n\n# Додаємо colorbar для пояснення кольорів\ncbar = plt.colorbar(scatter, ax=ax)\ncbar.set_label(\"Площа міста (км²)\", fontsize=11)\n\n# Легенда для розміру точок\nsizes = [100, 300, 500]\nlabels = [\"100 км²\", \"300 км²\", \"500 км²\"]\nlegend_handles = [plt.scatter([], [], s=size, c=\"gray\", alpha=0.6, edgecolor=\"black\") \n                  for size in sizes]\nax.legend(legend_handles, labels, title=\"Площа міста\", \n          loc=\"upper left\", frameon=True, fontsize=10)\n\nplt.tight_layout()\nplt.show()\n",[5299,12347,12348,12358,12368,12372,12377,12389,12396,12413,12430,12446,12450,12466,12470,12475,12493,12525,12529,12538,12556,12573,12590,12606,12610,12615,12625,12642,12646,12651,12669,12689,12724,12737,12751,12779,12783,12787],{"__ignoreMap":5297},[5302,12349,12350,12352,12354,12356],{"class":5304,"line":5305},[5302,12351,5309],{"class":5308},[5302,12353,5313],{"class":5312},[5302,12355,5316],{"class":5308},[5302,12357,5319],{"class":5312},[5302,12359,12360,12362,12364,12366],{"class":5304,"line":5322},[5302,12361,5309],{"class":5308},[5302,12363,5327],{"class":5312},[5302,12365,5316],{"class":5308},[5302,12367,5332],{"class":5312},[5302,12369,12370],{"class":5304,"line":5335},[5302,12371,5339],{"emptyLinePlaceholder":5338},[5302,12373,12374],{"class":5304,"line":5342},[5302,12375,12376],{"class":5345},"# Дані про міста: населення, ВВП на душу, регіон, площа міста\n",[5302,12378,12379,12381,12383,12385,12387],{"class":5304,"line":5349},[5302,12380,5352],{"class":5312},[5302,12382,6068],{"class":5456},[5302,12384,5483],{"class":5312},[5302,12386,6552],{"class":5355},[5302,12388,5359],{"class":5312},[5302,12390,12391,12393],{"class":5304,"line":5362},[5302,12392,11937],{"class":5312},[5302,12394,12395],{"class":5355},"50\n",[5302,12397,12398,12401,12403,12405,12407,12410],{"class":5304,"line":5384},[5302,12399,12400],{"class":5312},"population = rng.uniform(",[5302,12402,5668],{"class":5355},[5302,12404,5371],{"class":5312},[5302,12406,12046],{"class":5355},[5302,12408,12409],{"class":5312},", n)  ",[5302,12411,12412],{"class":5345},"# тисяч людей\n",[5302,12414,12415,12418,12420,12422,12425,12427],{"class":5304,"line":5416},[5302,12416,12417],{"class":5312},"gdp_per_capita = rng.uniform(",[5302,12419,12046],{"class":5355},[5302,12421,5371],{"class":5312},[5302,12423,12424],{"class":5355},"50000",[5302,12426,12409],{"class":5312},[5302,12428,12429],{"class":5345},"# $\n",[5302,12431,12432,12435,12437,12439,12441,12443],{"class":5304,"line":5421},[5302,12433,12434],{"class":5312},"city_area = rng.uniform(",[5302,12436,6570],{"class":5355},[5302,12438,5371],{"class":5312},[5302,12440,6105],{"class":5355},[5302,12442,12409],{"class":5312},[5302,12444,12445],{"class":5345},"# км²\n",[5302,12447,12448],{"class":5304,"line":5427},[5302,12449,5339],{"emptyLinePlaceholder":5338},[5302,12451,12452,12454,12456,12458,12460,12462,12464],{"class":5304,"line":5433},[5302,12453,5453],{"class":5312},[5302,12455,5457],{"class":5456},[5302,12457,5460],{"class":5312},[5302,12459,5407],{"class":5355},[5302,12461,5371],{"class":5312},[5302,12463,5559],{"class":5355},[5302,12465,5471],{"class":5312},[5302,12467,12468],{"class":5304,"line":5439},[5302,12469,5339],{"emptyLinePlaceholder":5338},[5302,12471,12472],{"class":5304,"line":5444},[5302,12473,12474],{"class":5345},"# Розмір точок пропорційний площі міста\n",[5302,12476,12477,12480,12482,12485,12487,12489,12491],{"class":5304,"line":5450},[5302,12478,12479],{"class":5312},"scatter = ax.scatter(population, gdp_per_capita, ",[5302,12481,5492],{"class":5456},[5302,12483,12484],{"class":5312},"=city_area, ",[5302,12486,5615],{"class":5456},[5302,12488,5483],{"class":5312},[5302,12490,5848],{"class":5355},[5302,12492,5590],{"class":5312},[5302,12494,12495,12498,12500,12502,12504,12507,12509,12511,12513,12515,12517,12519,12521,12523],{"class":5304,"line":5474},[5302,12496,12497],{"class":5456},"                     c",[5302,12499,12484],{"class":5312},[5302,12501,7197],{"class":5456},[5302,12503,5483],{"class":5312},[5302,12505,12506],{"class":5486},"\"viridis\"",[5302,12508,5371],{"class":5312},[5302,12510,5878],{"class":5456},[5302,12512,5483],{"class":5312},[5302,12514,6867],{"class":5486},[5302,12516,5371],{"class":5312},[5302,12518,5606],{"class":5456},[5302,12520,5483],{"class":5312},[5302,12522,5289],{"class":5355},[5302,12524,5359],{"class":5312},[5302,12526,12527],{"class":5304,"line":5501},[5302,12528,5339],{"emptyLinePlaceholder":5338},[5302,12530,12531,12533,12536],{"class":5304,"line":5512},[5302,12532,5526],{"class":5312},[5302,12534,12535],{"class":5486},"\"Населення vs ВВП на душу (розмір точки = площа міста)\"",[5302,12537,5590],{"class":5312},[5302,12539,12540,12542,12544,12546,12548,12550,12552,12554],{"class":5304,"line":5523},[5302,12541,6206],{"class":5456},[5302,12543,5483],{"class":5312},[5302,12545,6211],{"class":5355},[5302,12547,5371],{"class":5312},[5302,12549,5780],{"class":5456},[5302,12551,5483],{"class":5312},[5302,12553,6220],{"class":5486},[5302,12555,5359],{"class":5312},[5302,12557,12558,12560,12563,12565,12567,12569,12571],{"class":5304,"line":5534},[5302,12559,5504],{"class":5312},[5302,12561,12562],{"class":5486},"\"Населення (тис. осіб)\"",[5302,12564,5371],{"class":5312},[5302,12566,5771],{"class":5456},[5302,12568,5483],{"class":5312},[5302,12570,5407],{"class":5355},[5302,12572,5359],{"class":5312},[5302,12574,12575,12577,12580,12582,12584,12586,12588],{"class":5304,"line":5539},[5302,12576,5515],{"class":5312},[5302,12578,12579],{"class":5486},"\"ВВП на душу ($)\"",[5302,12581,5371],{"class":5312},[5302,12583,5771],{"class":5456},[5302,12585,5483],{"class":5312},[5302,12587,5407],{"class":5355},[5302,12589,5359],{"class":5312},[5302,12591,12592,12594,12596,12598,12600,12602,12604],{"class":5304,"line":5544},[5302,12593,5827],{"class":5312},[5302,12595,5830],{"class":5716},[5302,12597,5371],{"class":5312},[5302,12599,5615],{"class":5456},[5302,12601,5483],{"class":5312},[5302,12603,6271],{"class":5355},[5302,12605,5359],{"class":5312},[5302,12607,12608],{"class":5304,"line":5550},[5302,12609,5339],{"emptyLinePlaceholder":5338},[5302,12611,12612],{"class":5304,"line":5569},[5302,12613,12614],{"class":5345},"# Додаємо colorbar для пояснення кольорів\n",[5302,12616,12617,12620,12622],{"class":5304,"line":5593},[5302,12618,12619],{"class":5312},"cbar = plt.colorbar(scatter, ",[5302,12621,8486],{"class":5456},[5302,12623,12624],{"class":5312},"=ax)\n",[5302,12626,12627,12629,12632,12634,12636,12638,12640],{"class":5304,"line":5635},[5302,12628,8523],{"class":5312},[5302,12630,12631],{"class":5486},"\"Площа міста (км²)\"",[5302,12633,5371],{"class":5312},[5302,12635,5771],{"class":5456},[5302,12637,5483],{"class":5312},[5302,12639,6379],{"class":5355},[5302,12641,5359],{"class":5312},[5302,12643,12644],{"class":5304,"line":5640},[5302,12645,5339],{"emptyLinePlaceholder":5338},[5302,12647,12648],{"class":5304,"line":5646},[5302,12649,12650],{"class":5345},"# Легенда для розміру точок\n",[5302,12652,12653,12656,12658,12660,12663,12665,12667],{"class":5304,"line":5656},[5302,12654,12655],{"class":5312},"sizes = [",[5302,12657,5668],{"class":5355},[5302,12659,5371],{"class":5312},[5302,12661,12662],{"class":5355},"300",[5302,12664,5371],{"class":5312},[5302,12666,6105],{"class":5355},[5302,12668,8797],{"class":5312},[5302,12670,12671,12674,12677,12679,12682,12684,12687],{"class":5304,"line":5662},[5302,12672,12673],{"class":5312},"labels = [",[5302,12675,12676],{"class":5486},"\"100 км²\"",[5302,12678,5371],{"class":5312},[5302,12680,12681],{"class":5486},"\"300 км²\"",[5302,12683,5371],{"class":5312},[5302,12685,12686],{"class":5486},"\"500 км²\"",[5302,12688,8797],{"class":5312},[5302,12690,12691,12694,12696,12699,12701,12703,12705,12707,12709,12711,12713,12715,12717,12719,12721],{"class":5304,"line":5673},[5302,12692,12693],{"class":5312},"legend_handles = [plt.scatter([], [], ",[5302,12695,5492],{"class":5456},[5302,12697,12698],{"class":5312},"=size, ",[5302,12700,7182],{"class":5456},[5302,12702,5483],{"class":5312},[5302,12704,9473],{"class":5486},[5302,12706,5371],{"class":5312},[5302,12708,5615],{"class":5456},[5302,12710,5483],{"class":5312},[5302,12712,5848],{"class":5355},[5302,12714,5371],{"class":5312},[5302,12716,5878],{"class":5456},[5302,12718,5483],{"class":5312},[5302,12720,6867],{"class":5486},[5302,12722,12723],{"class":5312},") \n",[5302,12725,12726,12729,12732,12734],{"class":5304,"line":5708},[5302,12727,12728],{"class":5308},"                  for",[5302,12730,12731],{"class":5312}," size ",[5302,12733,7864],{"class":5308},[5302,12735,12736],{"class":5312}," sizes]\n",[5302,12738,12739,12742,12744,12746,12749],{"class":5304,"line":5756},[5302,12740,12741],{"class":5312},"ax.legend(legend_handles, labels, ",[5302,12743,12266],{"class":5456},[5302,12745,5483],{"class":5312},[5302,12747,12748],{"class":5486},"\"Площа міста\"",[5302,12750,5590],{"class":5312},[5302,12752,12753,12756,12758,12761,12763,12765,12767,12769,12771,12773,12775,12777],{"class":5304,"line":5761},[5302,12754,12755],{"class":5456},"          loc",[5302,12757,5483],{"class":5312},[5302,12759,12760],{"class":5486},"\"upper left\"",[5302,12762,5371],{"class":5312},[5302,12764,5859],{"class":5456},[5302,12766,5483],{"class":5312},[5302,12768,5830],{"class":5716},[5302,12770,5371],{"class":5312},[5302,12772,5771],{"class":5456},[5302,12774,5483],{"class":5312},[5302,12776,5368],{"class":5355},[5302,12778,5359],{"class":5312},[5302,12780,12781],{"class":5304,"line":5790},[5302,12782,5339],{"emptyLinePlaceholder":5338},[5302,12784,12785],{"class":5304,"line":5807},[5302,12786,6390],{"class":5312},[5302,12788,12789],{"class":5304,"line":5824},[5302,12790,5436],{"class":5312},[5892,12792,12793],{"v-slot:output":5297},[5895,12794],{"alt":12795,"className":12796,"src":12797},"Scatter з кодуванням розміром",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F09.png",[6776,12799,12800,12805,12904,12911],{},[5255,12801,12802],{},[5224,12803,12804],{},"Кольорові карти (colormaps) для неперервних змінних:",[5292,12806,12808],{"className":5294,"code":12807,"language":5296,"meta":5297,"style":5297},"# Послідовні (для величин, що зростають)\nc=values, cmap=\"viridis\"   # Синій → Жовтий (рекомендовано, colorblind-safe)\nc=values, cmap=\"plasma\"    # Фіолетовий → Жовтий\nc=values, cmap=\"Blues\"     # Світло-синій → Темно-синій\n\n# Дивергентні (для відхилень від центру: -10...0...+10)\nc=values, cmap=\"coolwarm\"  # Синій ← 0 → Червоний\nc=values, cmap=\"RdYlGn\"    # Червоний ← 0 → Зелений\n\n# Категоріальні (для дискретних груп)\nc=categories, cmap=\"tab10\"  # 10 різних кольорів\nc=categories, cmap=\"Set3\"   # Пастельні кольори\n",[5299,12809,12810,12815,12825,12835,12845,12849,12854,12864,12874,12878,12883,12894],{"__ignoreMap":5297},[5302,12811,12812],{"class":5304,"line":5305},[5302,12813,12814],{"class":5345},"# Послідовні (для величин, що зростають)\n",[5302,12816,12817,12820,12822],{"class":5304,"line":5322},[5302,12818,12819],{"class":5312},"c=values, cmap=",[5302,12821,12506],{"class":5486},[5302,12823,12824],{"class":5345},"   # Синій → Жовтий (рекомендовано, colorblind-safe)\n",[5302,12826,12827,12829,12832],{"class":5304,"line":5335},[5302,12828,12819],{"class":5312},[5302,12830,12831],{"class":5486},"\"plasma\"",[5302,12833,12834],{"class":5345},"    # Фіолетовий → Жовтий\n",[5302,12836,12837,12839,12842],{"class":5304,"line":5342},[5302,12838,12819],{"class":5312},[5302,12840,12841],{"class":5486},"\"Blues\"",[5302,12843,12844],{"class":5345},"     # Світло-синій → Темно-синій\n",[5302,12846,12847],{"class":5304,"line":5349},[5302,12848,5339],{"emptyLinePlaceholder":5338},[5302,12850,12851],{"class":5304,"line":5362},[5302,12852,12853],{"class":5345},"# Дивергентні (для відхилень від центру: -10...0...+10)\n",[5302,12855,12856,12858,12861],{"class":5304,"line":5384},[5302,12857,12819],{"class":5312},[5302,12859,12860],{"class":5486},"\"coolwarm\"",[5302,12862,12863],{"class":5345},"  # Синій ← 0 → Червоний\n",[5302,12865,12866,12868,12871],{"class":5304,"line":5416},[5302,12867,12819],{"class":5312},[5302,12869,12870],{"class":5486},"\"RdYlGn\"",[5302,12872,12873],{"class":5345},"    # Червоний ← 0 → Зелений\n",[5302,12875,12876],{"class":5304,"line":5421},[5302,12877,5339],{"emptyLinePlaceholder":5338},[5302,12879,12880],{"class":5304,"line":5427},[5302,12881,12882],{"class":5345},"# Категоріальні (для дискретних груп)\n",[5302,12884,12885,12888,12891],{"class":5304,"line":5433},[5302,12886,12887],{"class":5312},"c=categories, cmap=",[5302,12889,12890],{"class":5486},"\"tab10\"",[5302,12892,12893],{"class":5345},"  # 10 різних кольорів\n",[5302,12895,12896,12898,12901],{"class":5304,"line":5439},[5302,12897,12887],{"class":5312},[5302,12899,12900],{"class":5486},"\"Set3\"",[5302,12902,12903],{"class":5345},"   # Пастельні кольори\n",[5255,12905,12906],{},[5895,12907],{"alt":12908,"className":12909,"src":12910},"Демонстрація колірних карт colormaps",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F10.png",[5255,12912,12913,12916,12917,12920],{},[5224,12914,12915],{},"Уникайте:"," ",[5299,12918,12919],{},"\"jet\""," (застарілий, не colorblind-safe, спотворює дані)",[5280,12922,12924,12925,12928],{"id":12923},"повна-сигнатура-figcolorbar-та-мультивимірне-кодування-bubble-chart","Повна сигнатура ",[5299,12926,12927],{},"fig.colorbar()"," та мультивимірне кодування (Bubble Chart)",[5255,12930,12931,12932,12935,12936,12939,12940,12942,12943,12946,12947,7296,12949,7300],{},"Коли кольоровий градієнт кодує неперервну метрику, графік ",[5224,12933,12934],{},"обов'язково"," повинен супроводжуватися шкалою відповідності значень кольорам — ",[5224,12937,12938],{},"Colorbar",". Метод ",[5299,12941,12927],{}," підключається до об'єкта ",[5299,12944,12945],{},"ScalarMappable"," (який повертає ",[5299,12948,6785],{},[5299,12950,12951],{},"ax.imshow()",[5292,12953,12955],{"className":5294,"code":12954,"language":5296,"meta":5297,"style":5297},"fig.colorbar(\n    mappable,\n    cax=None,\n    ax=None,\n    use_gridspec=True,\n    location=None,\n    orientation='vertical',  # або 'horizontal'\n    fraction=0.15,\n    shrink=1.0,\n    aspect=20,\n    pad=0.04,\n    label='',\n    **kwargs\n) -> Colorbar\n",[5299,12956,12957,12962,12967,12978,12989,13000,13011,13027,13038,13049,13060,13071,13083,13087],{"__ignoreMap":5297},[5302,12958,12959],{"class":5304,"line":5305},[5302,12960,12961],{"class":5312},"fig.colorbar(\n",[5302,12963,12964],{"class":5304,"line":5322},[5302,12965,12966],{"class":5312},"    mappable,\n",[5302,12968,12969,12972,12974,12976],{"class":5304,"line":5335},[5302,12970,12971],{"class":5456},"    cax",[5302,12973,5483],{"class":5312},[5302,12975,6961],{"class":5716},[5302,12977,5705],{"class":5312},[5302,12979,12980,12983,12985,12987],{"class":5304,"line":5342},[5302,12981,12982],{"class":5456},"    ax",[5302,12984,5483],{"class":5312},[5302,12986,6961],{"class":5716},[5302,12988,5705],{"class":5312},[5302,12990,12991,12994,12996,12998],{"class":5304,"line":5349},[5302,12992,12993],{"class":5456},"    use_gridspec",[5302,12995,5483],{"class":5312},[5302,12997,5830],{"class":5716},[5302,12999,5705],{"class":5312},[5302,13001,13002,13005,13007,13009],{"class":5304,"line":5362},[5302,13003,13004],{"class":5456},"    location",[5302,13006,5483],{"class":5312},[5302,13008,6961],{"class":5716},[5302,13010,5705],{"class":5312},[5302,13012,13013,13016,13018,13021,13024],{"class":5304,"line":5384},[5302,13014,13015],{"class":5456},"    orientation",[5302,13017,5483],{"class":5312},[5302,13019,13020],{"class":5486},"'vertical'",[5302,13022,13023],{"class":5312},",  ",[5302,13025,13026],{"class":5345},"# або 'horizontal'\n",[5302,13028,13029,13032,13034,13036],{"class":5304,"line":5416},[5302,13030,13031],{"class":5456},"    fraction",[5302,13033,5483],{"class":5312},[5302,13035,7892],{"class":5355},[5302,13037,5705],{"class":5312},[5302,13039,13040,13043,13045,13047],{"class":5304,"line":5421},[5302,13041,13042],{"class":5456},"    shrink",[5302,13044,5483],{"class":5312},[5302,13046,8181],{"class":5355},[5302,13048,5705],{"class":5312},[5302,13050,13051,13054,13056,13058],{"class":5304,"line":5427},[5302,13052,13053],{"class":5456},"    aspect",[5302,13055,5483],{"class":5312},[5302,13057,7483],{"class":5355},[5302,13059,5705],{"class":5312},[5302,13061,13062,13065,13067,13069],{"class":5304,"line":5433},[5302,13063,13064],{"class":5456},"    pad",[5302,13066,5483],{"class":5312},[5302,13068,8515],{"class":5355},[5302,13070,5705],{"class":5312},[5302,13072,13073,13076,13078,13081],{"class":5304,"line":5439},[5302,13074,13075],{"class":5456},"    label",[5302,13077,5483],{"class":5312},[5302,13079,13080],{"class":5486},"''",[5302,13082,5705],{"class":5312},[5302,13084,13085],{"class":5304,"line":5444},[5302,13086,7090],{"class":5312},[5302,13088,13089,13091,13093],{"class":5304,"line":5450},[5302,13090,7095],{"class":5312},[5302,13092,7099],{"class":7098},[5302,13094,13095],{"class":5312}," Colorbar\n",[7104,13097,13098,13110],{},[7107,13099,13100],{},[7110,13101,13102,13104,13106,13108],{},[7113,13103,7116],{"align":7115},[7113,13105,7119],{"align":7115},[7113,13107,7122],{"align":7115},[7113,13109,7125],{"align":7115},[7127,13111,13112,13138,13156,13175,13194,13216,13238],{},[7110,13113,13114,13119,13123,13127],{},[7132,13115,13116],{"align":7115},[5299,13117,13118],{},"mappable",[7132,13120,13121],{"align":7115},[5299,13122,12945],{},[7132,13124,13125],{"align":7115},[5259,13126,11190],{},[7132,13128,13129,13130,13133,13134,7296,13136,7300],{"align":7115},"Графічний об'єкт, з якого беруться колірна карта та межі ",[5299,13131,13132],{},"vmin\u002Fvmax"," (результат ",[5299,13135,6785],{},[5299,13137,12951],{},[7110,13139,13140,13144,13149,13153],{},[7132,13141,13142],{"align":7115},[5299,13143,8486],{},[7132,13145,13146],{"align":7115},[5299,13147,13148],{},"Axes | Sequence[Axes]",[7132,13150,13151],{"align":7115},[5299,13152,6961],{},[7132,13154,13155],{"align":7115},"Вісь (або список осей), від якої відбирається простір для розміщення смуги шкали.",[7110,13157,13158,13163,13168,13172],{},[7132,13159,13160],{"align":7115},[5299,13161,13162],{},"orientation",[7132,13164,13165],{"align":7115},[5299,13166,13167],{},"'vertical' | 'horizontal'",[7132,13169,13170],{"align":7115},[5299,13171,13020],{},[7132,13173,13174],{"align":7115},"Орієнтація шкали: вертикальна (праворуч від графіка) або горизонтальна (знизу).",[7110,13176,13177,13181,13185,13189],{},[7132,13178,13179],{"align":7115},[5299,13180,8500],{},[7132,13182,13183],{"align":7115},[5299,13184,7315],{},[7132,13186,13187],{"align":7115},[5299,13188,7892],{},[7132,13190,13191,13192,7300],{"align":7115},"Частка початкової осі графіка, виділена під смугу шкали (для квадратних графіків зручно ставити ",[5299,13193,8505],{},[7110,13195,13196,13200,13204,13213],{},[7132,13197,13198],{"align":7115},[5299,13199,8510],{},[7132,13201,13202],{"align":7115},[5299,13203,7315],{},[7132,13205,13206,13209,13210,13212],{"align":7115},[5299,13207,13208],{},"0.05"," (vert) \u002F ",[5299,13211,7892],{}," (horiz)",[7132,13214,13215],{"align":7115},"Відступ смуги colorbar від межі графіка.",[7110,13217,13218,13223,13227,13231],{},[7132,13219,13220],{"align":7115},[5299,13221,13222],{},"shrink",[7132,13224,13225],{"align":7115},[5299,13226,7315],{},[7132,13228,13229],{"align":7115},[5299,13230,8181],{},[7132,13232,13233,13234,13237],{"align":7115},"Масштабний коефіцієнт довжини шкали (наприклад, ",[5299,13235,13236],{},"shrink=0.8"," вкорочує шкалу).",[7110,13239,13240,13244,13248,13252],{},[7132,13241,13242],{"align":7115},[5299,13243,5625],{},[7132,13245,13246],{"align":7115},[5299,13247,11122],{},[7132,13249,13250],{"align":7115},[5299,13251,13080],{},[7132,13253,13254],{"align":7115},"Текстовий підпис фізичної величини та одиниць виміру шкали.",[5271,13256,13258,13267,14372],{"title":13257,"kernel":5274},"multidimensional_scatter.ipynb",[5276,13259,13260,13264],{"type":5278},[5280,13261,13263],{"id":13262},"багатовимірне-візуальне-кодування-color-size-та-colorbar","Багатовимірне візуальне кодування: Color, Size та Colorbar",[5255,13265,13266],{},"Порівняння послідовних і дивергентних палітр, зважування розміром точок (Bubble chart) та 4D аналіз",[5276,13268,13270,14365],{"execution-count":5289,"execution-time":13269},"0.27s",[5292,13271,13273],{"className":5294,"code":13272,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(42)\nfig, axes = plt.subplots(2, 2, figsize=(14, 10))\n\n# Синтетичні системні метрики сервера\nx_mem = rng.uniform(5, 50, 60)         # RAM (GB)\ny_lat = 10 + 0.8 * x_mem + rng.normal(0, 5, 60)  # Latency (ms)\ncpu_load = x_mem * 1.5 + rng.normal(0, 10, 60)   # CPU Load (%)\nsla_delta = rng.normal(0, 4, 60)                 # Відхилення від SLA (ms)\npayload = rng.uniform(20, 450, 60)               # Розмір тіла запиту (KB)\n\n# 1. Sequential colormap ('viridis')\nsc1 = axes[0, 0].scatter(x_mem, y_lat, c=cpu_load, cmap='viridis', s=70, edgecolor='#1e293b', linewidth=0.5)\ncb1 = fig.colorbar(sc1, ax=axes[0, 0], fraction=0.046, pad=0.04)\ncb1.set_label(\"CPU Load (%)\")\naxes[0, 0].set_title(\"Послідовна шкала (Sequential 'viridis'):\\nдля величин від низьких до високих\", fontweight='bold')\naxes[0, 0].set_xlabel(\"Пам'ять RAM (GB)\")\naxes[0, 0].set_ylabel(\"Час відповіді (мс)\")\naxes[0, 0].grid(True, linestyle=':', alpha=0.6)\n\n# 2. Diverging colormap ('coolwarm')\nsc2 = axes[0, 1].scatter(x_mem, y_lat, c=sla_delta, cmap='coolwarm', vmin=-10, vmax=10, s=70, edgecolor='#1e293b', linewidth=0.5)\ncb2 = fig.colorbar(sc2, ax=axes[0, 1], fraction=0.046, pad=0.04)\ncb2.set_label(\"Відхилення SLA Δ (мс)\")\naxes[0, 1].set_title(\"Дивергентна шкала (Diverging 'coolwarm'):\\nдля відхилень в обидва боки від 0\", fontweight='bold')\naxes[0, 1].set_xlabel(\"Пам'ять RAM (GB)\")\naxes[0, 1].set_ylabel(\"Час відповіді (мс)\")\naxes[0, 1].grid(True, linestyle=':', alpha=0.6)\n\n# 3. Bubble Chart (розмір точки = розмір запиту)\naxes[1, 0].scatter(x_mem, y_lat, s=payload, color='#0284c7', alpha=0.55, edgecolor='#0369a1', linewidth=1)\nfor s_val, s_lbl in [(50, \"50 KB\"), (200, \"200 KB\"), (400, \"400 KB\")]:\n    axes[1, 0].scatter([], [], s=s_val, color='#0284c7', alpha=0.55, edgecolor='#0369a1', label=s_lbl)\naxes[1, 0].legend(title=\"Розмір payload\", loc='upper left')\naxes[1, 0].set_title(\"Кодування розміром (Bubble chart, параметр s):\\nвага кожного окремого вимірювання\", fontweight='bold')\naxes[1, 0].set_xlabel(\"Пам'ять RAM (GB)\")\naxes[1, 0].set_ylabel(\"Час відповіді (мс)\")\naxes[1, 0].grid(True, linestyle=':', alpha=0.6)\n\n# 4. 4D поєднання (X, Y, Колір, Розмір) + горизонтальний Colorbar\nsc4 = axes[1, 1].scatter(x_mem, y_lat, s=payload * 0.8, c=cpu_load, cmap='plasma', alpha=0.75, edgecolor='#0f172a', linewidth=0.6)\ncb4 = fig.colorbar(sc4, ax=axes[1, 1], orientation='horizontal', fraction=0.046, pad=0.15)\ncb4.set_label(\"CPU Load (%) — горизонтальний colorbar\")\naxes[1, 1].set_title(\"4D комбінація (X, Y, Колір, Розмір):\\nодночасний аналіз 4 системних метрик\", fontweight='bold')\naxes[1, 1].set_xlabel(\"Пам'ять RAM (GB)\")\naxes[1, 1].set_ylabel(\"Час відповіді (мс)\")\naxes[1, 1].grid(True, linestyle=':', alpha=0.6)\n\nplt.tight_layout()\nplt.show()\n",[5299,13274,13275,13285,13295,13299,13307,13331,13335,13340,13361,13390,13415,13436,13458,13462,13467,13519,13552,13562,13592,13609,13626,13658,13662,13667,13734,13767,13777,13807,13823,13839,13871,13875,13880,13930,13970,14017,14046,14076,14092,14108,14140,14144,14149,14207,14249,14259,14289,14305,14321,14353,14357,14361],{"__ignoreMap":5297},[5302,13276,13277,13279,13281,13283],{"class":5304,"line":5305},[5302,13278,5309],{"class":5308},[5302,13280,5313],{"class":5312},[5302,13282,5316],{"class":5308},[5302,13284,5319],{"class":5312},[5302,13286,13287,13289,13291,13293],{"class":5304,"line":5322},[5302,13288,5309],{"class":5308},[5302,13290,5327],{"class":5312},[5302,13292,5316],{"class":5308},[5302,13294,5332],{"class":5312},[5302,13296,13297],{"class":5304,"line":5335},[5302,13298,5339],{"emptyLinePlaceholder":5338},[5302,13300,13301,13303,13305],{"class":5304,"line":5342},[5302,13302,5352],{"class":5312},[5302,13304,5356],{"class":5355},[5302,13306,5359],{"class":5312},[5302,13308,13309,13311,13313,13315,13317,13319,13321,13323,13325,13327,13329],{"class":5304,"line":5349},[5302,13310,7436],{"class":5312},[5302,13312,5702],{"class":5355},[5302,13314,5371],{"class":5312},[5302,13316,5702],{"class":5355},[5302,13318,5371],{"class":5312},[5302,13320,5457],{"class":5456},[5302,13322,5460],{"class":5312},[5302,13324,6211],{"class":5355},[5302,13326,5371],{"class":5312},[5302,13328,5368],{"class":5355},[5302,13330,5471],{"class":5312},[5302,13332,13333],{"class":5304,"line":5362},[5302,13334,5339],{"emptyLinePlaceholder":5338},[5302,13336,13337],{"class":5304,"line":5384},[5302,13338,13339],{"class":5345},"# Синтетичні системні метрики сервера\n",[5302,13341,13342,13345,13347,13349,13351,13353,13355,13358],{"class":5304,"line":5416},[5302,13343,13344],{"class":5312},"x_mem = rng.uniform(",[5302,13346,6585],{"class":5355},[5302,13348,5371],{"class":5312},[5302,13350,6570],{"class":5355},[5302,13352,5371],{"class":5312},[5302,13354,8376],{"class":5355},[5302,13356,13357],{"class":5312},")         ",[5302,13359,13360],{"class":5345},"# RAM (GB)\n",[5302,13362,13363,13366,13368,13370,13372,13375,13377,13379,13381,13383,13385,13387],{"class":5304,"line":5421},[5302,13364,13365],{"class":5312},"y_lat = ",[5302,13367,5368],{"class":5355},[5302,13369,5393],{"class":5312},[5302,13371,7694],{"class":5355},[5302,13373,13374],{"class":5312}," * x_mem + rng.normal(",[5302,13376,5402],{"class":5355},[5302,13378,5371],{"class":5312},[5302,13380,6585],{"class":5355},[5302,13382,5371],{"class":5312},[5302,13384,8376],{"class":5355},[5302,13386,6094],{"class":5312},[5302,13388,13389],{"class":5345},"# Latency (ms)\n",[5302,13391,13392,13395,13397,13399,13401,13403,13405,13407,13409,13412],{"class":5304,"line":5427},[5302,13393,13394],{"class":5312},"cpu_load = x_mem * ",[5302,13396,6673],{"class":5355},[5302,13398,8771],{"class":5312},[5302,13400,5402],{"class":5355},[5302,13402,5371],{"class":5312},[5302,13404,5368],{"class":5355},[5302,13406,5371],{"class":5312},[5302,13408,8376],{"class":5355},[5302,13410,13411],{"class":5312},")   ",[5302,13413,13414],{"class":5345},"# CPU Load (%)\n",[5302,13416,13417,13420,13422,13424,13426,13428,13430,13433],{"class":5304,"line":5433},[5302,13418,13419],{"class":5312},"sla_delta = rng.normal(",[5302,13421,5402],{"class":5355},[5302,13423,5371],{"class":5312},[5302,13425,5468],{"class":5355},[5302,13427,5371],{"class":5312},[5302,13429,8376],{"class":5355},[5302,13431,13432],{"class":5312},")                 ",[5302,13434,13435],{"class":5345},"# Відхилення від SLA (ms)\n",[5302,13437,13438,13441,13443,13445,13448,13450,13452,13455],{"class":5304,"line":5439},[5302,13439,13440],{"class":5312},"payload = rng.uniform(",[5302,13442,7483],{"class":5355},[5302,13444,5371],{"class":5312},[5302,13446,13447],{"class":5355},"450",[5302,13449,5371],{"class":5312},[5302,13451,8376],{"class":5355},[5302,13453,13454],{"class":5312},")               ",[5302,13456,13457],{"class":5345},"# Розмір тіла запиту (KB)\n",[5302,13459,13460],{"class":5304,"line":5444},[5302,13461,5339],{"emptyLinePlaceholder":5338},[5302,13463,13464],{"class":5304,"line":5450},[5302,13465,13466],{"class":5345},"# 1. Sequential colormap ('viridis')\n",[5302,13468,13469,13472,13474,13476,13478,13481,13483,13486,13488,13490,13492,13494,13496,13498,13500,13502,13504,13506,13509,13511,13513,13515,13517],{"class":5304,"line":5474},[5302,13470,13471],{"class":5312},"sc1 = axes[",[5302,13473,5402],{"class":5355},[5302,13475,5371],{"class":5312},[5302,13477,5402],{"class":5355},[5302,13479,13480],{"class":5312},"].scatter(x_mem, y_lat, ",[5302,13482,7182],{"class":5456},[5302,13484,13485],{"class":5312},"=cpu_load, ",[5302,13487,7197],{"class":5456},[5302,13489,5483],{"class":5312},[5302,13491,7263],{"class":5486},[5302,13493,5371],{"class":5312},[5302,13495,5492],{"class":5456},[5302,13497,5483],{"class":5312},[5302,13499,5578],{"class":5355},[5302,13501,5371],{"class":5312},[5302,13503,5878],{"class":5456},[5302,13505,5483],{"class":5312},[5302,13507,13508],{"class":5486},"'#1e293b'",[5302,13510,5371],{"class":5312},[5302,13512,5606],{"class":5456},[5302,13514,5483],{"class":5312},[5302,13516,8466],{"class":5355},[5302,13518,5359],{"class":5312},[5302,13520,13521,13524,13526,13528,13530,13532,13534,13536,13538,13540,13542,13544,13546,13548,13550],{"class":5304,"line":5501},[5302,13522,13523],{"class":5312},"cb1 = fig.colorbar(sc1, ",[5302,13525,8486],{"class":5456},[5302,13527,8489],{"class":5312},[5302,13529,5402],{"class":5355},[5302,13531,5371],{"class":5312},[5302,13533,5402],{"class":5355},[5302,13535,7531],{"class":5312},[5302,13537,8500],{"class":5456},[5302,13539,5483],{"class":5312},[5302,13541,8505],{"class":5355},[5302,13543,5371],{"class":5312},[5302,13545,8510],{"class":5456},[5302,13547,5483],{"class":5312},[5302,13549,8515],{"class":5355},[5302,13551,5359],{"class":5312},[5302,13553,13554,13557,13560],{"class":5304,"line":5512},[5302,13555,13556],{"class":5312},"cb1.set_label(",[5302,13558,13559],{"class":5486},"\"CPU Load (%)\"",[5302,13561,5359],{"class":5312},[5302,13563,13564,13566,13568,13570,13572,13574,13577,13579,13582,13584,13586,13588,13590],{"class":5304,"line":5523},[5302,13565,7512],{"class":5312},[5302,13567,5402],{"class":5355},[5302,13569,5371],{"class":5312},[5302,13571,5402],{"class":5355},[5302,13573,7718],{"class":5312},[5302,13575,13576],{"class":5486},"\"Послідовна шкала (Sequential 'viridis'):",[5302,13578,8856],{"class":8855},[5302,13580,13581],{"class":5486},"для величин від низьких до високих\"",[5302,13583,5371],{"class":5312},[5302,13585,5780],{"class":5456},[5302,13587,5483],{"class":5312},[5302,13589,5785],{"class":5486},[5302,13591,5359],{"class":5312},[5302,13593,13594,13596,13598,13600,13602,13604,13607],{"class":5304,"line":5534},[5302,13595,7512],{"class":5312},[5302,13597,5402],{"class":5355},[5302,13599,5371],{"class":5312},[5302,13601,5402],{"class":5355},[5302,13603,8911],{"class":5312},[5302,13605,13606],{"class":5486},"\"Пам'ять RAM (GB)\"",[5302,13608,5359],{"class":5312},[5302,13610,13611,13613,13615,13617,13619,13621,13624],{"class":5304,"line":5539},[5302,13612,7512],{"class":5312},[5302,13614,5402],{"class":5355},[5302,13616,5371],{"class":5312},[5302,13618,5402],{"class":5355},[5302,13620,8929],{"class":5312},[5302,13622,13623],{"class":5486},"\"Час відповіді (мс)\"",[5302,13625,5359],{"class":5312},[5302,13627,13628,13630,13632,13634,13636,13638,13640,13642,13644,13646,13648,13650,13652,13654,13656],{"class":5304,"line":5544},[5302,13629,7512],{"class":5312},[5302,13631,5402],{"class":5355},[5302,13633,5371],{"class":5312},[5302,13635,5402],{"class":5355},[5302,13637,7757],{"class":5312},[5302,13639,5830],{"class":5716},[5302,13641,5371],{"class":5312},[5302,13643,5688],{"class":5456},[5302,13645,5483],{"class":5312},[5302,13647,5839],{"class":5486},[5302,13649,5371],{"class":5312},[5302,13651,5615],{"class":5456},[5302,13653,5483],{"class":5312},[5302,13655,5848],{"class":5355},[5302,13657,5359],{"class":5312},[5302,13659,13660],{"class":5304,"line":5550},[5302,13661,5339],{"emptyLinePlaceholder":5338},[5302,13663,13664],{"class":5304,"line":5569},[5302,13665,13666],{"class":5345},"# 2. Diverging colormap ('coolwarm')\n",[5302,13668,13669,13672,13674,13676,13678,13680,13682,13685,13687,13689,13691,13693,13695,13698,13700,13702,13704,13706,13708,13710,13712,13714,13716,13718,13720,13722,13724,13726,13728,13730,13732],{"class":5304,"line":5593},[5302,13670,13671],{"class":5312},"sc2 = axes[",[5302,13673,5402],{"class":5355},[5302,13675,5371],{"class":5312},[5302,13677,5289],{"class":5355},[5302,13679,13480],{"class":5312},[5302,13681,7182],{"class":5456},[5302,13683,13684],{"class":5312},"=sla_delta, ",[5302,13686,7197],{"class":5456},[5302,13688,5483],{"class":5312},[5302,13690,7269],{"class":5486},[5302,13692,5371],{"class":5312},[5302,13694,7307],{"class":5456},[5302,13696,13697],{"class":5312},"=-",[5302,13699,5368],{"class":5355},[5302,13701,5371],{"class":5312},[5302,13703,7310],{"class":5456},[5302,13705,5483],{"class":5312},[5302,13707,5368],{"class":5355},[5302,13709,5371],{"class":5312},[5302,13711,5492],{"class":5456},[5302,13713,5483],{"class":5312},[5302,13715,5578],{"class":5355},[5302,13717,5371],{"class":5312},[5302,13719,5878],{"class":5456},[5302,13721,5483],{"class":5312},[5302,13723,13508],{"class":5486},[5302,13725,5371],{"class":5312},[5302,13727,5606],{"class":5456},[5302,13729,5483],{"class":5312},[5302,13731,8466],{"class":5355},[5302,13733,5359],{"class":5312},[5302,13735,13736,13739,13741,13743,13745,13747,13749,13751,13753,13755,13757,13759,13761,13763,13765],{"class":5304,"line":5635},[5302,13737,13738],{"class":5312},"cb2 = fig.colorbar(sc2, ",[5302,13740,8486],{"class":5456},[5302,13742,8489],{"class":5312},[5302,13744,5402],{"class":5355},[5302,13746,5371],{"class":5312},[5302,13748,5289],{"class":5355},[5302,13750,7531],{"class":5312},[5302,13752,8500],{"class":5456},[5302,13754,5483],{"class":5312},[5302,13756,8505],{"class":5355},[5302,13758,5371],{"class":5312},[5302,13760,8510],{"class":5456},[5302,13762,5483],{"class":5312},[5302,13764,8515],{"class":5355},[5302,13766,5359],{"class":5312},[5302,13768,13769,13772,13775],{"class":5304,"line":5640},[5302,13770,13771],{"class":5312},"cb2.set_label(",[5302,13773,13774],{"class":5486},"\"Відхилення SLA Δ (мс)\"",[5302,13776,5359],{"class":5312},[5302,13778,13779,13781,13783,13785,13787,13789,13792,13794,13797,13799,13801,13803,13805],{"class":5304,"line":5646},[5302,13780,7512],{"class":5312},[5302,13782,5402],{"class":5355},[5302,13784,5371],{"class":5312},[5302,13786,5289],{"class":5355},[5302,13788,7718],{"class":5312},[5302,13790,13791],{"class":5486},"\"Дивергентна шкала (Diverging 'coolwarm'):",[5302,13793,8856],{"class":8855},[5302,13795,13796],{"class":5486},"для відхилень в обидва боки від 0\"",[5302,13798,5371],{"class":5312},[5302,13800,5780],{"class":5456},[5302,13802,5483],{"class":5312},[5302,13804,5785],{"class":5486},[5302,13806,5359],{"class":5312},[5302,13808,13809,13811,13813,13815,13817,13819,13821],{"class":5304,"line":5656},[5302,13810,7512],{"class":5312},[5302,13812,5402],{"class":5355},[5302,13814,5371],{"class":5312},[5302,13816,5289],{"class":5355},[5302,13818,8911],{"class":5312},[5302,13820,13606],{"class":5486},[5302,13822,5359],{"class":5312},[5302,13824,13825,13827,13829,13831,13833,13835,13837],{"class":5304,"line":5662},[5302,13826,7512],{"class":5312},[5302,13828,5402],{"class":5355},[5302,13830,5371],{"class":5312},[5302,13832,5289],{"class":5355},[5302,13834,8929],{"class":5312},[5302,13836,13623],{"class":5486},[5302,13838,5359],{"class":5312},[5302,13840,13841,13843,13845,13847,13849,13851,13853,13855,13857,13859,13861,13863,13865,13867,13869],{"class":5304,"line":5673},[5302,13842,7512],{"class":5312},[5302,13844,5402],{"class":5355},[5302,13846,5371],{"class":5312},[5302,13848,5289],{"class":5355},[5302,13850,7757],{"class":5312},[5302,13852,5830],{"class":5716},[5302,13854,5371],{"class":5312},[5302,13856,5688],{"class":5456},[5302,13858,5483],{"class":5312},[5302,13860,5839],{"class":5486},[5302,13862,5371],{"class":5312},[5302,13864,5615],{"class":5456},[5302,13866,5483],{"class":5312},[5302,13868,5848],{"class":5355},[5302,13870,5359],{"class":5312},[5302,13872,13873],{"class":5304,"line":5708},[5302,13874,5339],{"emptyLinePlaceholder":5338},[5302,13876,13877],{"class":5304,"line":5756},[5302,13878,13879],{"class":5345},"# 3. Bubble Chart (розмір точки = розмір запиту)\n",[5302,13881,13882,13884,13886,13888,13890,13892,13894,13897,13899,13901,13903,13905,13907,13909,13912,13914,13916,13918,13920,13922,13924,13926,13928],{"class":5304,"line":5761},[5302,13883,7512],{"class":5312},[5302,13885,5289],{"class":5355},[5302,13887,5371],{"class":5312},[5302,13889,5402],{"class":5355},[5302,13891,13480],{"class":5312},[5302,13893,5492],{"class":5456},[5302,13895,13896],{"class":5312},"=payload, ",[5302,13898,5480],{"class":5456},[5302,13900,5483],{"class":5312},[5302,13902,7546],{"class":5486},[5302,13904,5371],{"class":5312},[5302,13906,5615],{"class":5456},[5302,13908,5483],{"class":5312},[5302,13910,13911],{"class":5355},"0.55",[5302,13913,5371],{"class":5312},[5302,13915,5878],{"class":5456},[5302,13917,5483],{"class":5312},[5302,13919,7612],{"class":5486},[5302,13921,5371],{"class":5312},[5302,13923,5606],{"class":5456},[5302,13925,5483],{"class":5312},[5302,13927,5289],{"class":5355},[5302,13929,5359],{"class":5312},[5302,13931,13932,13934,13937,13939,13942,13944,13946,13949,13951,13953,13955,13958,13960,13962,13964,13967],{"class":5304,"line":5790},[5302,13933,7858],{"class":5308},[5302,13935,13936],{"class":5312}," s_val, s_lbl ",[5302,13938,7864],{"class":5308},[5302,13940,13941],{"class":5312}," [(",[5302,13943,6570],{"class":5355},[5302,13945,5371],{"class":5312},[5302,13947,13948],{"class":5486},"\"50 KB\"",[5302,13950,7801],{"class":5312},[5302,13952,5374],{"class":5355},[5302,13954,5371],{"class":5312},[5302,13956,13957],{"class":5486},"\"200 KB\"",[5302,13959,7801],{"class":5312},[5302,13961,12019],{"class":5355},[5302,13963,5371],{"class":5312},[5302,13965,13966],{"class":5486},"\"400 KB\"",[5302,13968,13969],{"class":5312},")]:\n",[5302,13971,13972,13974,13976,13978,13980,13983,13985,13988,13990,13992,13994,13996,13998,14000,14002,14004,14006,14008,14010,14012,14014],{"class":5304,"line":5807},[5302,13973,7934],{"class":5312},[5302,13975,5289],{"class":5355},[5302,13977,5371],{"class":5312},[5302,13979,5402],{"class":5355},[5302,13981,13982],{"class":5312},"].scatter([], [], ",[5302,13984,5492],{"class":5456},[5302,13986,13987],{"class":5312},"=s_val, ",[5302,13989,5480],{"class":5456},[5302,13991,5483],{"class":5312},[5302,13993,7546],{"class":5486},[5302,13995,5371],{"class":5312},[5302,13997,5615],{"class":5456},[5302,13999,5483],{"class":5312},[5302,14001,13911],{"class":5355},[5302,14003,5371],{"class":5312},[5302,14005,5878],{"class":5456},[5302,14007,5483],{"class":5312},[5302,14009,7612],{"class":5486},[5302,14011,5371],{"class":5312},[5302,14013,5625],{"class":5456},[5302,14015,14016],{"class":5312},"=s_lbl)\n",[5302,14018,14019,14021,14023,14025,14027,14029,14031,14033,14036,14038,14040,14042,14044],{"class":5304,"line":5824},[5302,14020,7512],{"class":5312},[5302,14022,5289],{"class":5355},[5302,14024,5371],{"class":5312},[5302,14026,5402],{"class":5355},[5302,14028,8308],{"class":5312},[5302,14030,12266],{"class":5456},[5302,14032,5483],{"class":5312},[5302,14034,14035],{"class":5486},"\"Розмір payload\"",[5302,14037,5371],{"class":5312},[5302,14039,8311],{"class":5456},[5302,14041,5483],{"class":5312},[5302,14043,8316],{"class":5486},[5302,14045,5359],{"class":5312},[5302,14047,14048,14050,14052,14054,14056,14058,14061,14063,14066,14068,14070,14072,14074],{"class":5304,"line":5853},[5302,14049,7512],{"class":5312},[5302,14051,5289],{"class":5355},[5302,14053,5371],{"class":5312},[5302,14055,5402],{"class":5355},[5302,14057,7718],{"class":5312},[5302,14059,14060],{"class":5486},"\"Кодування розміром (Bubble chart, параметр s):",[5302,14062,8856],{"class":8855},[5302,14064,14065],{"class":5486},"вага кожного окремого вимірювання\"",[5302,14067,5371],{"class":5312},[5302,14069,5780],{"class":5456},[5302,14071,5483],{"class":5312},[5302,14073,5785],{"class":5486},[5302,14075,5359],{"class":5312},[5302,14077,14078,14080,14082,14084,14086,14088,14090],{"class":5304,"line":5888},[5302,14079,7512],{"class":5312},[5302,14081,5289],{"class":5355},[5302,14083,5371],{"class":5312},[5302,14085,5402],{"class":5355},[5302,14087,8911],{"class":5312},[5302,14089,13606],{"class":5486},[5302,14091,5359],{"class":5312},[5302,14093,14094,14096,14098,14100,14102,14104,14106],{"class":5304,"line":8362},[5302,14095,7512],{"class":5312},[5302,14097,5289],{"class":5355},[5302,14099,5371],{"class":5312},[5302,14101,5402],{"class":5355},[5302,14103,8929],{"class":5312},[5302,14105,13623],{"class":5486},[5302,14107,5359],{"class":5312},[5302,14109,14110,14112,14114,14116,14118,14120,14122,14124,14126,14128,14130,14132,14134,14136,14138],{"class":5304,"line":8381},[5302,14111,7512],{"class":5312},[5302,14113,5289],{"class":5355},[5302,14115,5371],{"class":5312},[5302,14117,5402],{"class":5355},[5302,14119,7757],{"class":5312},[5302,14121,5830],{"class":5716},[5302,14123,5371],{"class":5312},[5302,14125,5688],{"class":5456},[5302,14127,5483],{"class":5312},[5302,14129,5839],{"class":5486},[5302,14131,5371],{"class":5312},[5302,14133,5615],{"class":5456},[5302,14135,5483],{"class":5312},[5302,14137,5848],{"class":5355},[5302,14139,5359],{"class":5312},[5302,14141,14142],{"class":5304,"line":8404},[5302,14143,5339],{"emptyLinePlaceholder":5338},[5302,14145,14146],{"class":5304,"line":8416},[5302,14147,14148],{"class":5345},"# 4. 4D поєднання (X, Y, Колір, Розмір) + горизонтальний Colorbar\n",[5302,14150,14151,14154,14156,14158,14160,14162,14164,14167,14169,14171,14173,14175,14177,14179,14181,14183,14185,14187,14189,14191,14193,14195,14197,14199,14201,14203,14205],{"class":5304,"line":8480},[5302,14152,14153],{"class":5312},"sc4 = axes[",[5302,14155,5289],{"class":5355},[5302,14157,5371],{"class":5312},[5302,14159,5289],{"class":5355},[5302,14161,13480],{"class":5312},[5302,14163,5492],{"class":5456},[5302,14165,14166],{"class":5312},"=payload * ",[5302,14168,7694],{"class":5355},[5302,14170,5371],{"class":5312},[5302,14172,7182],{"class":5456},[5302,14174,13485],{"class":5312},[5302,14176,7197],{"class":5456},[5302,14178,5483],{"class":5312},[5302,14180,7266],{"class":5486},[5302,14182,5371],{"class":5312},[5302,14184,5615],{"class":5456},[5302,14186,5483],{"class":5312},[5302,14188,5620],{"class":5355},[5302,14190,5371],{"class":5312},[5302,14192,5878],{"class":5456},[5302,14194,5483],{"class":5312},[5302,14196,11604],{"class":5486},[5302,14198,5371],{"class":5312},[5302,14200,5606],{"class":5456},[5302,14202,5483],{"class":5312},[5302,14204,5848],{"class":5355},[5302,14206,5359],{"class":5312},[5302,14208,14209,14212,14214,14216,14218,14220,14222,14224,14226,14228,14231,14233,14235,14237,14239,14241,14243,14245,14247],{"class":5304,"line":8520},[5302,14210,14211],{"class":5312},"cb4 = fig.colorbar(sc4, ",[5302,14213,8486],{"class":5456},[5302,14215,8489],{"class":5312},[5302,14217,5289],{"class":5355},[5302,14219,5371],{"class":5312},[5302,14221,5289],{"class":5355},[5302,14223,7531],{"class":5312},[5302,14225,13162],{"class":5456},[5302,14227,5483],{"class":5312},[5302,14229,14230],{"class":5486},"'horizontal'",[5302,14232,5371],{"class":5312},[5302,14234,8500],{"class":5456},[5302,14236,5483],{"class":5312},[5302,14238,8505],{"class":5355},[5302,14240,5371],{"class":5312},[5302,14242,8510],{"class":5456},[5302,14244,5483],{"class":5312},[5302,14246,7892],{"class":5355},[5302,14248,5359],{"class":5312},[5302,14250,14251,14254,14257],{"class":5304,"line":8531},[5302,14252,14253],{"class":5312},"cb4.set_label(",[5302,14255,14256],{"class":5486},"\"CPU Load (%) — горизонтальний colorbar\"",[5302,14258,5359],{"class":5312},[5302,14260,14261,14263,14265,14267,14269,14271,14274,14276,14279,14281,14283,14285,14287],{"class":5304,"line":8557},[5302,14262,7512],{"class":5312},[5302,14264,5289],{"class":5355},[5302,14266,5371],{"class":5312},[5302,14268,5289],{"class":5355},[5302,14270,7718],{"class":5312},[5302,14272,14273],{"class":5486},"\"4D комбінація (X, Y, Колір, Розмір):",[5302,14275,8856],{"class":8855},[5302,14277,14278],{"class":5486},"одночасний аналіз 4 системних метрик\"",[5302,14280,5371],{"class":5312},[5302,14282,5780],{"class":5456},[5302,14284,5483],{"class":5312},[5302,14286,5785],{"class":5486},[5302,14288,5359],{"class":5312},[5302,14290,14291,14293,14295,14297,14299,14301,14303],{"class":5304,"line":8590},[5302,14292,7512],{"class":5312},[5302,14294,5289],{"class":5355},[5302,14296,5371],{"class":5312},[5302,14298,5289],{"class":5355},[5302,14300,8911],{"class":5312},[5302,14302,13606],{"class":5486},[5302,14304,5359],{"class":5312},[5302,14306,14307,14309,14311,14313,14315,14317,14319],{"class":5304,"line":8595},[5302,14308,7512],{"class":5312},[5302,14310,5289],{"class":5355},[5302,14312,5371],{"class":5312},[5302,14314,5289],{"class":5355},[5302,14316,8929],{"class":5312},[5302,14318,13623],{"class":5486},[5302,14320,5359],{"class":5312},[5302,14322,14323,14325,14327,14329,14331,14333,14335,14337,14339,14341,14343,14345,14347,14349,14351],{"class":5304,"line":8600},[5302,14324,7512],{"class":5312},[5302,14326,5289],{"class":5355},[5302,14328,5371],{"class":5312},[5302,14330,5289],{"class":5355},[5302,14332,7757],{"class":5312},[5302,14334,5830],{"class":5716},[5302,14336,5371],{"class":5312},[5302,14338,5688],{"class":5456},[5302,14340,5483],{"class":5312},[5302,14342,5839],{"class":5486},[5302,14344,5371],{"class":5312},[5302,14346,5615],{"class":5456},[5302,14348,5483],{"class":5312},[5302,14350,5848],{"class":5355},[5302,14352,5359],{"class":5312},[5302,14354,14355],{"class":5304,"line":9560},[5302,14356,5339],{"emptyLinePlaceholder":5338},[5302,14358,14359],{"class":5304,"line":9577},[5302,14360,6390],{"class":5312},[5302,14362,14363],{"class":5304,"line":9602},[5302,14364,5436],{"class":5312},[5892,14366,14367],{"v-slot:output":5297},[5895,14368],{"alt":14369,"className":14370,"src":14371},"Мультивимірне кодування в ax.scatter",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F16.png",[5276,14373,14374,14378],{"type":5278},[5280,14375,14377],{"id":14376},"важливе-правило-пропорційності-площі-у-bubble-charts","Важливе правило пропорційності площі у Bubble Charts",[5255,14379,14380,14381,14384,14385,14387,14388,14390],{},"Людина оцінює розмір об'єкта за його ",[5224,14382,14383],{},"площею",", а не лінійним діаметром.\nОскільки параметр ",[5299,14386,5492],{}," в ",[5299,14389,6785],{}," приймає площу маркера в $pt^2$, передача значення змінної напряму забезпечує математично точне візуальне сприйняття. Якщо ж ви обчислюєте радіус $r$, пам'ятайте, що площа зростає квадратично ($S = \\pi r^2$), що може створити оманливе враження надмірного розміру великих точок!",[5247,14392],{},[5250,14394,14396],{"id":14395},"подолання-оверплотингу-axhexbin-та-2d-густина","Подолання оверплотингу: ax.hexbin() та 2D-густина",[5255,14398,14399,14400,14402,14403,14406],{},"Коли обсяг даних сягає десятків або сотень тисяч записів (наприклад, реальні логи веб-сервера чи транзакції банку), класичний ",[5299,14401,6785],{}," стикається з критичною проблемою — ",[5224,14404,14405],{},"оверплотингом (Overplotting)",". Точки накладаються одна на одну, утворюючи суцільну темну пляму, де неможливо зрозуміти, чи в центрі 100 точок, чи 100 000.",[5255,14408,14409,14410,14417],{},"Найефективніший інструмент розв'язання цієї проблеми в Matplotlib — ",[5224,14411,14412,14413,14416],{},"гексагональний біннінг (",[5299,14414,14415],{},"ax.hexbin()",")",". Площина графіка розбивається на сітку правильних шестикутників (стільників), а колір кожного шестикутника відображає кількість точок, що потрапили всередину.",[5292,14419,14421],{"className":5294,"code":14420,"language":5296,"meta":5297,"style":5297},"ax.hexbin(\n    x, y,\n    C=None,\n    gridsize=100,\n    bins=None,\n    xscale='linear',\n    yscale='linear',\n    cmap=None,\n    norm=None,\n    vmin=None,\n    vmax=None,\n    alpha=None,\n    linewidths=None,\n    edgecolors='none',\n    reduce_C_function=np.mean,\n    mincnt=None,\n    marginals=False,\n    **kwargs\n) -> PolyCollection\n",[5299,14422,14423,14428,14432,14443,14454,14465,14477,14488,14498,14508,14518,14528,14538,14548,14558,14566,14577,14588,14592],{"__ignoreMap":5297},[5302,14424,14425],{"class":5304,"line":5305},[5302,14426,14427],{"class":5312},"ax.hexbin(\n",[5302,14429,14430],{"class":5304,"line":5322},[5302,14431,6951],{"class":5312},[5302,14433,14434,14437,14439,14441],{"class":5304,"line":5335},[5302,14435,14436],{"class":5456},"    C",[5302,14438,5483],{"class":5312},[5302,14440,6961],{"class":5716},[5302,14442,5705],{"class":5312},[5302,14444,14445,14448,14450,14452],{"class":5304,"line":5342},[5302,14446,14447],{"class":5456},"    gridsize",[5302,14449,5483],{"class":5312},[5302,14451,5668],{"class":5355},[5302,14453,5705],{"class":5312},[5302,14455,14456,14459,14461,14463],{"class":5304,"line":5349},[5302,14457,14458],{"class":5456},"    bins",[5302,14460,5483],{"class":5312},[5302,14462,6961],{"class":5716},[5302,14464,5705],{"class":5312},[5302,14466,14467,14470,14472,14475],{"class":5304,"line":5362},[5302,14468,14469],{"class":5456},"    xscale",[5302,14471,5483],{"class":5312},[5302,14473,14474],{"class":5486},"'linear'",[5302,14476,5705],{"class":5312},[5302,14478,14479,14482,14484,14486],{"class":5304,"line":5384},[5302,14480,14481],{"class":5456},"    yscale",[5302,14483,5483],{"class":5312},[5302,14485,14474],{"class":5486},[5302,14487,5705],{"class":5312},[5302,14489,14490,14492,14494,14496],{"class":5304,"line":5416},[5302,14491,6990],{"class":5456},[5302,14493,5483],{"class":5312},[5302,14495,6961],{"class":5716},[5302,14497,5705],{"class":5312},[5302,14499,14500,14502,14504,14506],{"class":5304,"line":5421},[5302,14501,7001],{"class":5456},[5302,14503,5483],{"class":5312},[5302,14505,6961],{"class":5716},[5302,14507,5705],{"class":5312},[5302,14509,14510,14512,14514,14516],{"class":5304,"line":5427},[5302,14511,7012],{"class":5456},[5302,14513,5483],{"class":5312},[5302,14515,6961],{"class":5716},[5302,14517,5705],{"class":5312},[5302,14519,14520,14522,14524,14526],{"class":5304,"line":5433},[5302,14521,7023],{"class":5456},[5302,14523,5483],{"class":5312},[5302,14525,6961],{"class":5716},[5302,14527,5705],{"class":5312},[5302,14529,14530,14532,14534,14536],{"class":5304,"line":5439},[5302,14531,7034],{"class":5456},[5302,14533,5483],{"class":5312},[5302,14535,6961],{"class":5716},[5302,14537,5705],{"class":5312},[5302,14539,14540,14542,14544,14546],{"class":5304,"line":5444},[5302,14541,7045],{"class":5456},[5302,14543,5483],{"class":5312},[5302,14545,6961],{"class":5716},[5302,14547,5705],{"class":5312},[5302,14549,14550,14552,14554,14556],{"class":5304,"line":5450},[5302,14551,7056],{"class":5456},[5302,14553,5483],{"class":5312},[5302,14555,8190],{"class":5486},[5302,14557,5705],{"class":5312},[5302,14559,14560,14563],{"class":5304,"line":5474},[5302,14561,14562],{"class":5456},"    reduce_C_function",[5302,14564,14565],{"class":5312},"=np.mean,\n",[5302,14567,14568,14571,14573,14575],{"class":5304,"line":5501},[5302,14569,14570],{"class":5456},"    mincnt",[5302,14572,5483],{"class":5312},[5302,14574,6961],{"class":5716},[5302,14576,5705],{"class":5312},[5302,14578,14579,14582,14584,14586],{"class":5304,"line":5512},[5302,14580,14581],{"class":5456},"    marginals",[5302,14583,5483],{"class":5312},[5302,14585,7072],{"class":5716},[5302,14587,5705],{"class":5312},[5302,14589,14590],{"class":5304,"line":5523},[5302,14591,7090],{"class":5312},[5302,14593,14594,14596,14598],{"class":5304,"line":5534},[5302,14595,7095],{"class":5312},[5302,14597,7099],{"class":7098},[5302,14599,14600],{"class":5312}," PolyCollection\n",[7104,14602,14603,14615],{},[7107,14604,14605],{},[7110,14606,14607,14609,14611,14613],{},[7113,14608,7116],{"align":7115},[7113,14610,7119],{"align":7115},[7113,14612,7122],{"align":7115},[7113,14614,7125],{"align":7115},[7127,14616,14617,14636,14655,14678,14701,14727],{},[7110,14618,14619,14625,14629,14633],{},[7132,14620,14621,5371,14623],{"align":7115},[5299,14622,7136],{},[5299,14624,7139],{},[7132,14626,14627],{"align":7115},[5299,14628,7144],{},[7132,14630,14631],{"align":7115},[5259,14632,7149],{},[7132,14634,14635],{"align":7115},"Масиви спостережень великого обсягу (тисячі або мільйони точок).",[7110,14637,14638,14643,14648,14652],{},[7132,14639,14640],{"align":7115},[5299,14641,14642],{},"gridsize",[7132,14644,14645],{"align":7115},[5299,14646,14647],{},"int | tuple[int, int]",[7132,14649,14650],{"align":7115},[5299,14651,5668],{},[7132,14653,14654],{"align":7115},"Кількість шестикутників по осі X. Чим більше значення, тим дрібніша сітка і вища деталізація.",[7110,14656,14657,14662,14667,14671],{},[7132,14658,14659],{"align":7115},[5299,14660,14661],{},"bins",[7132,14663,14664],{"align":7115},[5299,14665,14666],{},"None | 'log' | Sequence",[7132,14668,14669],{"align":7115},[5299,14670,6961],{},[7132,14672,14673,14674,14677],{"align":7115},"Метод підрахунку щільності. При ",[5299,14675,14676],{},"'log'"," значення сортуються за шкалою $\\log_{10}(N)$, що рятує при наявності екстремальних піків.",[7110,14679,14680,14685,14690,14694],{},[7132,14681,14682],{"align":7115},[5299,14683,14684],{},"mincnt",[7132,14686,14687],{"align":7115},[5299,14688,14689],{},"int | None",[7132,14691,14692],{"align":7115},[5299,14693,6961],{},[7132,14695,14696,14697,14700],{"align":7115},"Мінімальна кількість точок для відображення стільника. Якщо ",[5299,14698,14699],{},"mincnt=1",", порожні стільники залишаються прозорими фоновими.",[7110,14702,14703,14707,14711,14716],{},[7132,14704,14705],{"align":7115},[5299,14706,7197],{},[7132,14708,14709],{"align":7115},[5299,14710,7252],{},[7132,14712,14713],{"align":7115},[5299,14714,14715],{},"rcParams['image.cmap']",[7132,14717,14718,14719,5371,14722,5371,14725,7300],{"align":7115},"Палітра градієнта щільності (",[5299,14720,14721],{},"'inferno'",[5299,14723,14724],{},"'Blues'",[5299,14726,7263],{},[7110,14728,14729,14733,14738,14742],{},[7132,14730,14731],{"align":7115},[5299,14732,7366],{},[7132,14734,14735],{"align":7115},[5299,14736,14737],{},"color | 'none'",[7132,14739,14740],{"align":7115},[5299,14741,8190],{},[7132,14743,14744,14745,14747],{"align":7115},"Колір меж стільників (часто ",[5299,14746,8190],{}," або тонка світло-сіра сітка).",[5271,14749,14751,14760],{"title":14750,"kernel":5274},"hexbin_overplotting.ipynb",[5276,14752,14753,14757],{"type":5278},[5280,14754,14756],{"id":14755},"боротьба-з-оверплотингом-на-12-000-спостереженнях","Боротьба з оверплотингом на 12 000 спостереженнях",[5255,14758,14759],{},"Порівняння сирого scatter, прозорості alpha та гексагонального біннінгу з логарифмічною шкалою",[5276,14761,14763,15497],{"execution-count":5289,"execution-time":14762},"0.31s",[5292,14764,14766],{"className":5294,"code":14765,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\nrng = np.random.default_rng(42)\nmean = [50, 50]\ncov = [[15, 9], [9, 10]]\nx_big, y_big = rng.multivariate_normal(mean, cov, 12000).T\n\nfig, axes = plt.subplots(2, 2, figsize=(13, 9.5))\n\n# 1. Проблема оверплотингу\naxes[0, 0].scatter(x_big, y_big, color='#1e293b', s=8, alpha=1.0)\naxes[0, 0].set_title(\"Проблема: Оверплотинг (12 000 точок, alpha=1.0)\\nВнутрішня структура прихована в суцільній плямі\", fontweight='bold')\naxes[0, 0].set_xlabel(\"Метрика A\")\naxes[0, 0].set_ylabel(\"Метрика B\")\naxes[0, 0].grid(True, linestyle=':', alpha=0.4)\n\n# 2. Часткове покращення: висока прозорість\naxes[0, 1].scatter(x_big, y_big, color='#2563eb', s=8, alpha=0.08)\naxes[0, 1].set_title(\"Часткове рішення: Прозорість (alpha=0.08)\\nЯдро проглядається, але точну густину оцінити важко\", fontweight='bold')\naxes[0, 1].set_xlabel(\"Метрика A\")\naxes[0, 1].set_ylabel(\"Метрика B\")\naxes[0, 1].grid(True, linestyle=':', alpha=0.4)\n\n# 3. Гексагональний біннінг (gridsize=25)\nhb1 = axes[1, 0].hexbin(x_big, y_big, gridsize=25, cmap='Blues', mincnt=1, edgecolors='#cbd5e1', linewidths=0.2)\ncb1 = fig.colorbar(hb1, ax=axes[1, 0], fraction=0.046, pad=0.04)\ncb1.set_label(\"Кількість подій у стільнику\")\naxes[1, 0].set_title(\"Гексагональний біннінг: ax.hexbin(gridsize=25)\\nАгрегація даних у правильні шестикутники\", fontweight='bold')\naxes[1, 0].set_xlabel(\"Метрика A\")\naxes[1, 0].set_ylabel(\"Метрика B\")\n\n# 4. Дрібний hexbin з логарифмічною шкалою (bins='log')\nhb2 = axes[1, 1].hexbin(x_big, y_big, gridsize=45, cmap='inferno', bins='log', mincnt=1)\ncb2 = fig.colorbar(hb2, ax=axes[1, 1], fraction=0.046, pad=0.04)\ncb2.set_label(\"log10(Кількість подій)\")\naxes[1, 1].set_title(\"Hexbin з bins='log' та gridsize=45\\nЧіткий контраст між поодинокими аномаліями та ядром\", fontweight='bold')\naxes[1, 1].set_xlabel(\"Метрика A\")\naxes[1, 1].set_ylabel(\"Метрика B\")\n\nplt.tight_layout()\nplt.show()\n",[5299,14767,14768,14778,14788,14792,14800,14813,14837,14848,14852,14876,14880,14885,14923,14953,14970,14987,15019,15023,15028,15065,15095,15111,15127,15159,15163,15168,15223,15256,15265,15295,15311,15327,15331,15336,15381,15414,15423,15453,15469,15485,15489,15493],{"__ignoreMap":5297},[5302,14769,14770,14772,14774,14776],{"class":5304,"line":5305},[5302,14771,5309],{"class":5308},[5302,14773,5313],{"class":5312},[5302,14775,5316],{"class":5308},[5302,14777,5319],{"class":5312},[5302,14779,14780,14782,14784,14786],{"class":5304,"line":5322},[5302,14781,5309],{"class":5308},[5302,14783,5327],{"class":5312},[5302,14785,5316],{"class":5308},[5302,14787,5332],{"class":5312},[5302,14789,14790],{"class":5304,"line":5335},[5302,14791,5339],{"emptyLinePlaceholder":5338},[5302,14793,14794,14796,14798],{"class":5304,"line":5342},[5302,14795,5352],{"class":5312},[5302,14797,5356],{"class":5355},[5302,14799,5359],{"class":5312},[5302,14801,14802,14805,14807,14809,14811],{"class":5304,"line":5349},[5302,14803,14804],{"class":5312},"mean = [",[5302,14806,6570],{"class":5355},[5302,14808,5371],{"class":5312},[5302,14810,6570],{"class":5355},[5302,14812,8797],{"class":5312},[5302,14814,14815,14818,14820,14822,14825,14828,14830,14832,14834],{"class":5304,"line":5362},[5302,14816,14817],{"class":5312},"cov = [[",[5302,14819,9797],{"class":5355},[5302,14821,5371],{"class":5312},[5302,14823,14824],{"class":5355},"9",[5302,14826,14827],{"class":5312},"], [",[5302,14829,14824],{"class":5355},[5302,14831,5371],{"class":5312},[5302,14833,5368],{"class":5355},[5302,14835,14836],{"class":5312},"]]\n",[5302,14838,14839,14842,14845],{"class":5304,"line":5384},[5302,14840,14841],{"class":5312},"x_big, y_big = rng.multivariate_normal(mean, cov, ",[5302,14843,14844],{"class":5355},"12000",[5302,14846,14847],{"class":5312},").T\n",[5302,14849,14850],{"class":5304,"line":5416},[5302,14851,5339],{"emptyLinePlaceholder":5338},[5302,14853,14854,14856,14858,14860,14862,14864,14866,14868,14870,14872,14874],{"class":5304,"line":5421},[5302,14855,7436],{"class":5312},[5302,14857,5702],{"class":5355},[5302,14859,5371],{"class":5312},[5302,14861,5702],{"class":5355},[5302,14863,5371],{"class":5312},[5302,14865,5457],{"class":5456},[5302,14867,5460],{"class":5312},[5302,14869,7451],{"class":5355},[5302,14871,5371],{"class":5312},[5302,14873,7456],{"class":5355},[5302,14875,5471],{"class":5312},[5302,14877,14878],{"class":5304,"line":5427},[5302,14879,5339],{"emptyLinePlaceholder":5338},[5302,14881,14882],{"class":5304,"line":5433},[5302,14883,14884],{"class":5345},"# 1. Проблема оверплотингу\n",[5302,14886,14887,14889,14891,14893,14895,14898,14900,14902,14904,14906,14908,14910,14913,14915,14917,14919,14921],{"class":5304,"line":5439},[5302,14888,7512],{"class":5312},[5302,14890,5402],{"class":5355},[5302,14892,5371],{"class":5312},[5302,14894,5402],{"class":5355},[5302,14896,14897],{"class":5312},"].scatter(x_big, y_big, ",[5302,14899,5480],{"class":5456},[5302,14901,5483],{"class":5312},[5302,14903,13508],{"class":5486},[5302,14905,5371],{"class":5312},[5302,14907,5492],{"class":5456},[5302,14909,5483],{"class":5312},[5302,14911,14912],{"class":5355},"8",[5302,14914,5371],{"class":5312},[5302,14916,5615],{"class":5456},[5302,14918,5483],{"class":5312},[5302,14920,8181],{"class":5355},[5302,14922,5359],{"class":5312},[5302,14924,14925,14927,14929,14931,14933,14935,14938,14940,14943,14945,14947,14949,14951],{"class":5304,"line":5444},[5302,14926,7512],{"class":5312},[5302,14928,5402],{"class":5355},[5302,14930,5371],{"class":5312},[5302,14932,5402],{"class":5355},[5302,14934,7718],{"class":5312},[5302,14936,14937],{"class":5486},"\"Проблема: Оверплотинг (12 000 точок, alpha=1.0)",[5302,14939,8856],{"class":8855},[5302,14941,14942],{"class":5486},"Внутрішня структура прихована в суцільній плямі\"",[5302,14944,5371],{"class":5312},[5302,14946,5780],{"class":5456},[5302,14948,5483],{"class":5312},[5302,14950,5785],{"class":5486},[5302,14952,5359],{"class":5312},[5302,14954,14955,14957,14959,14961,14963,14965,14968],{"class":5304,"line":5450},[5302,14956,7512],{"class":5312},[5302,14958,5402],{"class":5355},[5302,14960,5371],{"class":5312},[5302,14962,5402],{"class":5355},[5302,14964,8911],{"class":5312},[5302,14966,14967],{"class":5486},"\"Метрика A\"",[5302,14969,5359],{"class":5312},[5302,14971,14972,14974,14976,14978,14980,14982,14985],{"class":5304,"line":5474},[5302,14973,7512],{"class":5312},[5302,14975,5402],{"class":5355},[5302,14977,5371],{"class":5312},[5302,14979,5402],{"class":5355},[5302,14981,8929],{"class":5312},[5302,14983,14984],{"class":5486},"\"Метрика B\"",[5302,14986,5359],{"class":5312},[5302,14988,14989,14991,14993,14995,14997,14999,15001,15003,15005,15007,15009,15011,15013,15015,15017],{"class":5304,"line":5501},[5302,14990,7512],{"class":5312},[5302,14992,5402],{"class":5355},[5302,14994,5371],{"class":5312},[5302,14996,5402],{"class":5355},[5302,14998,7757],{"class":5312},[5302,15000,5830],{"class":5716},[5302,15002,5371],{"class":5312},[5302,15004,5688],{"class":5456},[5302,15006,5483],{"class":5312},[5302,15008,5839],{"class":5486},[5302,15010,5371],{"class":5312},[5302,15012,5615],{"class":5456},[5302,15014,5483],{"class":5312},[5302,15016,11371],{"class":5355},[5302,15018,5359],{"class":5312},[5302,15020,15021],{"class":5304,"line":5512},[5302,15022,5339],{"emptyLinePlaceholder":5338},[5302,15024,15025],{"class":5304,"line":5523},[5302,15026,15027],{"class":5345},"# 2. Часткове покращення: висока прозорість\n",[5302,15029,15030,15032,15034,15036,15038,15040,15042,15044,15046,15048,15050,15052,15054,15056,15058,15060,15063],{"class":5304,"line":5534},[5302,15031,7512],{"class":5312},[5302,15033,5402],{"class":5355},[5302,15035,5371],{"class":5312},[5302,15037,5289],{"class":5355},[5302,15039,14897],{"class":5312},[5302,15041,5480],{"class":5456},[5302,15043,5483],{"class":5312},[5302,15045,5487],{"class":5486},[5302,15047,5371],{"class":5312},[5302,15049,5492],{"class":5456},[5302,15051,5483],{"class":5312},[5302,15053,14912],{"class":5355},[5302,15055,5371],{"class":5312},[5302,15057,5615],{"class":5456},[5302,15059,5483],{"class":5312},[5302,15061,15062],{"class":5355},"0.08",[5302,15064,5359],{"class":5312},[5302,15066,15067,15069,15071,15073,15075,15077,15080,15082,15085,15087,15089,15091,15093],{"class":5304,"line":5539},[5302,15068,7512],{"class":5312},[5302,15070,5402],{"class":5355},[5302,15072,5371],{"class":5312},[5302,15074,5289],{"class":5355},[5302,15076,7718],{"class":5312},[5302,15078,15079],{"class":5486},"\"Часткове рішення: Прозорість (alpha=0.08)",[5302,15081,8856],{"class":8855},[5302,15083,15084],{"class":5486},"Ядро проглядається, але точну густину оцінити важко\"",[5302,15086,5371],{"class":5312},[5302,15088,5780],{"class":5456},[5302,15090,5483],{"class":5312},[5302,15092,5785],{"class":5486},[5302,15094,5359],{"class":5312},[5302,15096,15097,15099,15101,15103,15105,15107,15109],{"class":5304,"line":5544},[5302,15098,7512],{"class":5312},[5302,15100,5402],{"class":5355},[5302,15102,5371],{"class":5312},[5302,15104,5289],{"class":5355},[5302,15106,8911],{"class":5312},[5302,15108,14967],{"class":5486},[5302,15110,5359],{"class":5312},[5302,15112,15113,15115,15117,15119,15121,15123,15125],{"class":5304,"line":5550},[5302,15114,7512],{"class":5312},[5302,15116,5402],{"class":5355},[5302,15118,5371],{"class":5312},[5302,15120,5289],{"class":5355},[5302,15122,8929],{"class":5312},[5302,15124,14984],{"class":5486},[5302,15126,5359],{"class":5312},[5302,15128,15129,15131,15133,15135,15137,15139,15141,15143,15145,15147,15149,15151,15153,15155,15157],{"class":5304,"line":5569},[5302,15130,7512],{"class":5312},[5302,15132,5402],{"class":5355},[5302,15134,5371],{"class":5312},[5302,15136,5289],{"class":5355},[5302,15138,7757],{"class":5312},[5302,15140,5830],{"class":5716},[5302,15142,5371],{"class":5312},[5302,15144,5688],{"class":5456},[5302,15146,5483],{"class":5312},[5302,15148,5839],{"class":5486},[5302,15150,5371],{"class":5312},[5302,15152,5615],{"class":5456},[5302,15154,5483],{"class":5312},[5302,15156,11371],{"class":5355},[5302,15158,5359],{"class":5312},[5302,15160,15161],{"class":5304,"line":5593},[5302,15162,5339],{"emptyLinePlaceholder":5338},[5302,15164,15165],{"class":5304,"line":5635},[5302,15166,15167],{"class":5345},"# 3. Гексагональний біннінг (gridsize=25)\n",[5302,15169,15170,15173,15175,15177,15179,15182,15184,15186,15188,15190,15192,15194,15196,15198,15200,15202,15204,15206,15208,15210,15212,15214,15216,15218,15221],{"class":5304,"line":5640},[5302,15171,15172],{"class":5312},"hb1 = axes[",[5302,15174,5289],{"class":5355},[5302,15176,5371],{"class":5312},[5302,15178,5402],{"class":5355},[5302,15180,15181],{"class":5312},"].hexbin(x_big, y_big, ",[5302,15183,14642],{"class":5456},[5302,15185,5483],{"class":5312},[5302,15187,5390],{"class":5355},[5302,15189,5371],{"class":5312},[5302,15191,7197],{"class":5456},[5302,15193,5483],{"class":5312},[5302,15195,14724],{"class":5486},[5302,15197,5371],{"class":5312},[5302,15199,14684],{"class":5456},[5302,15201,5483],{"class":5312},[5302,15203,5289],{"class":5355},[5302,15205,5371],{"class":5312},[5302,15207,7366],{"class":5456},[5302,15209,5483],{"class":5312},[5302,15211,5883],{"class":5486},[5302,15213,5371],{"class":5312},[5302,15215,7347],{"class":5456},[5302,15217,5483],{"class":5312},[5302,15219,15220],{"class":5355},"0.2",[5302,15222,5359],{"class":5312},[5302,15224,15225,15228,15230,15232,15234,15236,15238,15240,15242,15244,15246,15248,15250,15252,15254],{"class":5304,"line":5646},[5302,15226,15227],{"class":5312},"cb1 = fig.colorbar(hb1, ",[5302,15229,8486],{"class":5456},[5302,15231,8489],{"class":5312},[5302,15233,5289],{"class":5355},[5302,15235,5371],{"class":5312},[5302,15237,5402],{"class":5355},[5302,15239,7531],{"class":5312},[5302,15241,8500],{"class":5456},[5302,15243,5483],{"class":5312},[5302,15245,8505],{"class":5355},[5302,15247,5371],{"class":5312},[5302,15249,8510],{"class":5456},[5302,15251,5483],{"class":5312},[5302,15253,8515],{"class":5355},[5302,15255,5359],{"class":5312},[5302,15257,15258,15260,15263],{"class":5304,"line":5656},[5302,15259,13556],{"class":5312},[5302,15261,15262],{"class":5486},"\"Кількість подій у стільнику\"",[5302,15264,5359],{"class":5312},[5302,15266,15267,15269,15271,15273,15275,15277,15280,15282,15285,15287,15289,15291,15293],{"class":5304,"line":5662},[5302,15268,7512],{"class":5312},[5302,15270,5289],{"class":5355},[5302,15272,5371],{"class":5312},[5302,15274,5402],{"class":5355},[5302,15276,7718],{"class":5312},[5302,15278,15279],{"class":5486},"\"Гексагональний біннінг: ax.hexbin(gridsize=25)",[5302,15281,8856],{"class":8855},[5302,15283,15284],{"class":5486},"Агрегація даних у правильні шестикутники\"",[5302,15286,5371],{"class":5312},[5302,15288,5780],{"class":5456},[5302,15290,5483],{"class":5312},[5302,15292,5785],{"class":5486},[5302,15294,5359],{"class":5312},[5302,15296,15297,15299,15301,15303,15305,15307,15309],{"class":5304,"line":5673},[5302,15298,7512],{"class":5312},[5302,15300,5289],{"class":5355},[5302,15302,5371],{"class":5312},[5302,15304,5402],{"class":5355},[5302,15306,8911],{"class":5312},[5302,15308,14967],{"class":5486},[5302,15310,5359],{"class":5312},[5302,15312,15313,15315,15317,15319,15321,15323,15325],{"class":5304,"line":5708},[5302,15314,7512],{"class":5312},[5302,15316,5289],{"class":5355},[5302,15318,5371],{"class":5312},[5302,15320,5402],{"class":5355},[5302,15322,8929],{"class":5312},[5302,15324,14984],{"class":5486},[5302,15326,5359],{"class":5312},[5302,15328,15329],{"class":5304,"line":5756},[5302,15330,5339],{"emptyLinePlaceholder":5338},[5302,15332,15333],{"class":5304,"line":5761},[5302,15334,15335],{"class":5345},"# 4. Дрібний hexbin з логарифмічною шкалою (bins='log')\n",[5302,15337,15338,15341,15343,15345,15347,15349,15351,15353,15355,15357,15359,15361,15363,15365,15367,15369,15371,15373,15375,15377,15379],{"class":5304,"line":5790},[5302,15339,15340],{"class":5312},"hb2 = axes[",[5302,15342,5289],{"class":5355},[5302,15344,5371],{"class":5312},[5302,15346,5289],{"class":5355},[5302,15348,15181],{"class":5312},[5302,15350,14642],{"class":5456},[5302,15352,5483],{"class":5312},[5302,15354,5379],{"class":5355},[5302,15356,5371],{"class":5312},[5302,15358,7197],{"class":5456},[5302,15360,5483],{"class":5312},[5302,15362,14721],{"class":5486},[5302,15364,5371],{"class":5312},[5302,15366,14661],{"class":5456},[5302,15368,5483],{"class":5312},[5302,15370,14676],{"class":5486},[5302,15372,5371],{"class":5312},[5302,15374,14684],{"class":5456},[5302,15376,5483],{"class":5312},[5302,15378,5289],{"class":5355},[5302,15380,5359],{"class":5312},[5302,15382,15383,15386,15388,15390,15392,15394,15396,15398,15400,15402,15404,15406,15408,15410,15412],{"class":5304,"line":5807},[5302,15384,15385],{"class":5312},"cb2 = fig.colorbar(hb2, ",[5302,15387,8486],{"class":5456},[5302,15389,8489],{"class":5312},[5302,15391,5289],{"class":5355},[5302,15393,5371],{"class":5312},[5302,15395,5289],{"class":5355},[5302,15397,7531],{"class":5312},[5302,15399,8500],{"class":5456},[5302,15401,5483],{"class":5312},[5302,15403,8505],{"class":5355},[5302,15405,5371],{"class":5312},[5302,15407,8510],{"class":5456},[5302,15409,5483],{"class":5312},[5302,15411,8515],{"class":5355},[5302,15413,5359],{"class":5312},[5302,15415,15416,15418,15421],{"class":5304,"line":5824},[5302,15417,13771],{"class":5312},[5302,15419,15420],{"class":5486},"\"log10(Кількість подій)\"",[5302,15422,5359],{"class":5312},[5302,15424,15425,15427,15429,15431,15433,15435,15438,15440,15443,15445,15447,15449,15451],{"class":5304,"line":5853},[5302,15426,7512],{"class":5312},[5302,15428,5289],{"class":5355},[5302,15430,5371],{"class":5312},[5302,15432,5289],{"class":5355},[5302,15434,7718],{"class":5312},[5302,15436,15437],{"class":5486},"\"Hexbin з bins='log' та gridsize=45",[5302,15439,8856],{"class":8855},[5302,15441,15442],{"class":5486},"Чіткий контраст між поодинокими аномаліями та ядром\"",[5302,15444,5371],{"class":5312},[5302,15446,5780],{"class":5456},[5302,15448,5483],{"class":5312},[5302,15450,5785],{"class":5486},[5302,15452,5359],{"class":5312},[5302,15454,15455,15457,15459,15461,15463,15465,15467],{"class":5304,"line":5888},[5302,15456,7512],{"class":5312},[5302,15458,5289],{"class":5355},[5302,15460,5371],{"class":5312},[5302,15462,5289],{"class":5355},[5302,15464,8911],{"class":5312},[5302,15466,14967],{"class":5486},[5302,15468,5359],{"class":5312},[5302,15470,15471,15473,15475,15477,15479,15481,15483],{"class":5304,"line":8362},[5302,15472,7512],{"class":5312},[5302,15474,5289],{"class":5355},[5302,15476,5371],{"class":5312},[5302,15478,5289],{"class":5355},[5302,15480,8929],{"class":5312},[5302,15482,14984],{"class":5486},[5302,15484,5359],{"class":5312},[5302,15486,15487],{"class":5304,"line":8381},[5302,15488,5339],{"emptyLinePlaceholder":5338},[5302,15490,15491],{"class":5304,"line":8404},[5302,15492,6390],{"class":5312},[5302,15494,15495],{"class":5304,"line":8416},[5302,15496,5436],{"class":5312},[5892,15498,15499],{"v-slot:output":5297},[5895,15500],{"alt":15501,"className":15502,"src":15503},"Боротьба з оверплотингом через ax.hexbin",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F17.png",[5247,15505],{},[5250,15507,15509],{"id":15508},"scatter-matrix-всі-пари-змінних-одразу","Scatter Matrix — всі пари змінних одразу",[5255,15511,15512,15513,15516],{},"Коли у датасеті багато змінних, корисно побачити ",[5224,15514,15515],{},"всі можливі пари"," scatter plots одночасно.",[5271,15518,15520,15526,15907],{"title":15519},"scatter_matrix.ipynb",[5276,15521,15522],{"type":5278},[5280,15523,15525],{"id":15524},"scatter-matrix-для-багатовимірного-датасету","Scatter Matrix для багатовимірного датасету",[5276,15527,15528,15900],{"execution-count":5289},[5292,15529,15531],{"className":5294,"code":15530,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\nimport pandas as pd\n\n# Створюємо датасет з 4 змінними\nrng = np.random.default_rng(seed=42)\nn = 200\n\ndata = pd.DataFrame({\n    \"Зріст (см)\": rng.normal(170, 10, n),\n    \"Вага (кг)\": rng.normal(70, 15, n),\n    \"Вік (роки)\": rng.uniform(18, 65, n),\n    \"Дохід ($)\": rng.lognormal(10, 0.5, n)\n})\n\n# Додаємо кореляцію між зростом та вагою\ndata[\"Вага (кг)\"] = 0.4 * data[\"Зріст (см)\"] + rng.normal(0, 8, n)\n\n# Scatter matrix\nfrom pandas.plotting import scatter_matrix\n\nfig, axes = plt.subplots(4, 4, figsize=(14, 14))\nscatter_matrix(data, ax=axes, alpha=0.6, figsize=(14, 14), \n               diagonal=\"hist\", color=\"steelblue\", edgecolor=\"navy\", \n               linewidth=0.5, hist_kwds={\"bins\": 20, \"edgecolor\": \"black\"})\n\nplt.suptitle(\"Scatter Matrix: всі пари змінних\", fontsize=16, fontweight=\"bold\", y=0.995)\nplt.tight_layout()\nplt.show()\n",[5299,15532,15533,15543,15553,15565,15569,15574,15586,15593,15597,15602,15620,15635,15653,15669,15673,15677,15682,15712,15716,15721,15733,15737,15761,15791,15819,15853,15857,15892,15896],{"__ignoreMap":5297},[5302,15534,15535,15537,15539,15541],{"class":5304,"line":5305},[5302,15536,5309],{"class":5308},[5302,15538,5313],{"class":5312},[5302,15540,5316],{"class":5308},[5302,15542,5319],{"class":5312},[5302,15544,15545,15547,15549,15551],{"class":5304,"line":5322},[5302,15546,5309],{"class":5308},[5302,15548,5327],{"class":5312},[5302,15550,5316],{"class":5308},[5302,15552,5332],{"class":5312},[5302,15554,15555,15557,15560,15562],{"class":5304,"line":5335},[5302,15556,5309],{"class":5308},[5302,15558,15559],{"class":5312}," pandas ",[5302,15561,5316],{"class":5308},[5302,15563,15564],{"class":5312}," pd\n",[5302,15566,15567],{"class":5304,"line":5342},[5302,15568,5339],{"emptyLinePlaceholder":5338},[5302,15570,15571],{"class":5304,"line":5349},[5302,15572,15573],{"class":5345},"# Створюємо датасет з 4 змінними\n",[5302,15575,15576,15578,15580,15582,15584],{"class":5304,"line":5362},[5302,15577,5352],{"class":5312},[5302,15579,6068],{"class":5456},[5302,15581,5483],{"class":5312},[5302,15583,5356],{"class":5355},[5302,15585,5359],{"class":5312},[5302,15587,15588,15590],{"class":5304,"line":5384},[5302,15589,11937],{"class":5312},[5302,15591,15592],{"class":5355},"200\n",[5302,15594,15595],{"class":5304,"line":5416},[5302,15596,5339],{"emptyLinePlaceholder":5338},[5302,15598,15599],{"class":5304,"line":5421},[5302,15600,15601],{"class":5312},"data = pd.DataFrame({\n",[5302,15603,15604,15607,15610,15613,15615,15617],{"class":5304,"line":5427},[5302,15605,15606],{"class":5486},"    \"Зріст (см)\"",[5302,15608,15609],{"class":5312},": rng.normal(",[5302,15611,15612],{"class":5355},"170",[5302,15614,5371],{"class":5312},[5302,15616,5368],{"class":5355},[5302,15618,15619],{"class":5312},", n),\n",[5302,15621,15622,15625,15627,15629,15631,15633],{"class":5304,"line":5433},[5302,15623,15624],{"class":5486},"    \"Вага (кг)\"",[5302,15626,15609],{"class":5312},[5302,15628,5578],{"class":5355},[5302,15630,5371],{"class":5312},[5302,15632,9797],{"class":5355},[5302,15634,15619],{"class":5312},[5302,15636,15637,15640,15643,15646,15648,15651],{"class":5304,"line":5439},[5302,15638,15639],{"class":5486},"    \"Вік (роки)\"",[5302,15641,15642],{"class":5312},": rng.uniform(",[5302,15644,15645],{"class":5355},"18",[5302,15647,5371],{"class":5312},[5302,15649,15650],{"class":5355},"65",[5302,15652,15619],{"class":5312},[5302,15654,15655,15658,15661,15663,15665,15667],{"class":5304,"line":5444},[5302,15656,15657],{"class":5486},"    \"Дохід ($)\"",[5302,15659,15660],{"class":5312},": rng.lognormal(",[5302,15662,5368],{"class":5355},[5302,15664,5371],{"class":5312},[5302,15666,8466],{"class":5355},[5302,15668,11953],{"class":5312},[5302,15670,15671],{"class":5304,"line":5450},[5302,15672,11013],{"class":5312},[5302,15674,15675],{"class":5304,"line":5474},[5302,15676,5339],{"emptyLinePlaceholder":5338},[5302,15678,15679],{"class":5304,"line":5501},[5302,15680,15681],{"class":5345},"# Додаємо кореляцію між зростом та вагою\n",[5302,15683,15684,15687,15690,15693,15695,15698,15701,15704,15706,15708,15710],{"class":5304,"line":5512},[5302,15685,15686],{"class":5312},"data[",[5302,15688,15689],{"class":5486},"\"Вага (кг)\"",[5302,15691,15692],{"class":5312},"] = ",[5302,15694,11371],{"class":5355},[5302,15696,15697],{"class":5312}," * data[",[5302,15699,15700],{"class":5486},"\"Зріст (см)\"",[5302,15702,15703],{"class":5312},"] + rng.normal(",[5302,15705,5402],{"class":5355},[5302,15707,5371],{"class":5312},[5302,15709,14912],{"class":5355},[5302,15711,11953],{"class":5312},[5302,15713,15714],{"class":5304,"line":5523},[5302,15715,5339],{"emptyLinePlaceholder":5338},[5302,15717,15718],{"class":5304,"line":5534},[5302,15719,15720],{"class":5345},"# Scatter matrix\n",[5302,15722,15723,15725,15728,15730],{"class":5304,"line":5539},[5302,15724,10900],{"class":5308},[5302,15726,15727],{"class":5312}," pandas.plotting ",[5302,15729,5309],{"class":5308},[5302,15731,15732],{"class":5312}," scatter_matrix\n",[5302,15734,15735],{"class":5304,"line":5544},[5302,15736,5339],{"emptyLinePlaceholder":5338},[5302,15738,15739,15741,15743,15745,15747,15749,15751,15753,15755,15757,15759],{"class":5304,"line":5550},[5302,15740,7436],{"class":5312},[5302,15742,5468],{"class":5355},[5302,15744,5371],{"class":5312},[5302,15746,5468],{"class":5355},[5302,15748,5371],{"class":5312},[5302,15750,5457],{"class":5456},[5302,15752,5460],{"class":5312},[5302,15754,6211],{"class":5355},[5302,15756,5371],{"class":5312},[5302,15758,6211],{"class":5355},[5302,15760,5471],{"class":5312},[5302,15762,15763,15766,15768,15771,15773,15775,15777,15779,15781,15783,15785,15787,15789],{"class":5304,"line":5569},[5302,15764,15765],{"class":5312},"scatter_matrix(data, ",[5302,15767,8486],{"class":5456},[5302,15769,15770],{"class":5312},"=axes, ",[5302,15772,5615],{"class":5456},[5302,15774,5483],{"class":5312},[5302,15776,5848],{"class":5355},[5302,15778,5371],{"class":5312},[5302,15780,5457],{"class":5456},[5302,15782,5460],{"class":5312},[5302,15784,6211],{"class":5355},[5302,15786,5371],{"class":5312},[5302,15788,6211],{"class":5355},[5302,15790,7820],{"class":5312},[5302,15792,15793,15796,15798,15801,15803,15805,15807,15809,15811,15813,15815,15817],{"class":5304,"line":5593},[5302,15794,15795],{"class":5456},"               diagonal",[5302,15797,5483],{"class":5312},[5302,15799,15800],{"class":5486},"\"hist\"",[5302,15802,5371],{"class":5312},[5302,15804,5480],{"class":5456},[5302,15806,5483],{"class":5312},[5302,15808,6177],{"class":5486},[5302,15810,5371],{"class":5312},[5302,15812,5878],{"class":5456},[5302,15814,5483],{"class":5312},[5302,15816,6186],{"class":5486},[5302,15818,5590],{"class":5312},[5302,15820,15821,15824,15826,15828,15830,15833,15835,15838,15840,15842,15844,15847,15849,15851],{"class":5304,"line":5635},[5302,15822,15823],{"class":5456},"               linewidth",[5302,15825,5483],{"class":5312},[5302,15827,8466],{"class":5355},[5302,15829,5371],{"class":5312},[5302,15831,15832],{"class":5456},"hist_kwds",[5302,15834,11002],{"class":5312},[5302,15836,15837],{"class":5486},"\"bins\"",[5302,15839,11008],{"class":5312},[5302,15841,7483],{"class":5355},[5302,15843,5371],{"class":5312},[5302,15845,15846],{"class":5486},"\"edgecolor\"",[5302,15848,11008],{"class":5312},[5302,15850,6867],{"class":5486},[5302,15852,11013],{"class":5312},[5302,15854,15855],{"class":5304,"line":5640},[5302,15856,5339],{"emptyLinePlaceholder":5338},[5302,15858,15859,15862,15865,15867,15869,15871,15873,15875,15877,15879,15881,15883,15885,15887,15890],{"class":5304,"line":5646},[5302,15860,15861],{"class":5312},"plt.suptitle(",[5302,15863,15864],{"class":5486},"\"Scatter Matrix: всі пари змінних\"",[5302,15866,5371],{"class":5312},[5302,15868,5771],{"class":5456},[5302,15870,5483],{"class":5312},[5302,15872,8719],{"class":5355},[5302,15874,5371],{"class":5312},[5302,15876,5780],{"class":5456},[5302,15878,5483],{"class":5312},[5302,15880,6220],{"class":5486},[5302,15882,5371],{"class":5312},[5302,15884,7139],{"class":5456},[5302,15886,5483],{"class":5312},[5302,15888,15889],{"class":5355},"0.995",[5302,15891,5359],{"class":5312},[5302,15893,15894],{"class":5304,"line":5656},[5302,15895,6390],{"class":5312},[5302,15897,15898],{"class":5304,"line":5662},[5302,15899,5436],{"class":5312},[5892,15901,15902],{"v-slot:output":5297},[5895,15903],{"alt":15904,"className":15905,"src":15906},"Scatter Matrix",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F11.png",[5276,15908,15909,15914,15934,15939],{"type":5278},[5255,15910,15911],{},[5224,15912,15913],{},"Як читати scatter matrix:",[5198,15915,15916,15922,15928,15931],{},[5201,15917,15918,15921],{},[5224,15919,15920],{},"Діагональ"," — гістограми розподілу кожної змінної",[5201,15923,15924,15927],{},[5224,15925,15926],{},"Поза діагоналлю"," — scatter plots для пар змінних",[5201,15929,15930],{},"Клітинка (i, j) = scatter(змінна_i vs змінна_j)",[5201,15932,15933],{},"Симетрія: клітинка (i, j) = клітинка (j, i), але осі поміняні місцями",[5255,15935,15936],{},[5224,15937,15938],{},"Що шукати:",[5198,15940,15941,15944,15947],{},[5201,15942,15943],{},"Сильні кореляції (точки вздовж прямої)",[5201,15945,15946],{},"Нелінійні залежності (викривлені паттерни)",[5201,15948,15949],{},"Викиди (самотні точки далеко від кластера)",[6438,15951,15952,15957,15963,16042,16049],{},[5255,15953,15954],{},[5224,15955,15956],{},"Альтернатива — heatmap кореляційної матриці:",[5255,15958,15959,15960,6012],{},"Якщо змінних дуже багато (>8), scatter matrix стає нечитабельним. Використовуйте ",[5224,15961,15962],{},"кореляційну матрицю",[5292,15964,15966],{"className":5294,"code":15965,"language":5296,"meta":5297,"style":5297},"import seaborn as sns\n\ncorr_matrix = data.corr()  # Обчислюємо кореляції\nsns.heatmap(corr_matrix, annot=True, cmap=\"coolwarm\", vmin=-1, vmax=1)\nplt.title(\"Кореляційна матриця\")\nplt.show()\n",[5299,15967,15968,15978,15982,15990,16028,16038],{"__ignoreMap":5297},[5302,15969,15970,15972,15974,15976],{"class":5304,"line":5305},[5302,15971,5309],{"class":5308},[5302,15973,10971],{"class":5312},[5302,15975,5316],{"class":5308},[5302,15977,10976],{"class":5312},[5302,15979,15980],{"class":5304,"line":5322},[5302,15981,5339],{"emptyLinePlaceholder":5338},[5302,15983,15984,15987],{"class":5304,"line":5335},[5302,15985,15986],{"class":5312},"corr_matrix = data.corr()  ",[5302,15988,15989],{"class":5345},"# Обчислюємо кореляції\n",[5302,15991,15992,15995,15998,16000,16002,16004,16006,16008,16010,16012,16014,16016,16018,16020,16022,16024,16026],{"class":5304,"line":5342},[5302,15993,15994],{"class":5312},"sns.heatmap(corr_matrix, ",[5302,15996,15997],{"class":5456},"annot",[5302,15999,5483],{"class":5312},[5302,16001,5830],{"class":5716},[5302,16003,5371],{"class":5312},[5302,16005,7197],{"class":5456},[5302,16007,5483],{"class":5312},[5302,16009,12860],{"class":5486},[5302,16011,5371],{"class":5312},[5302,16013,7307],{"class":5456},[5302,16015,13697],{"class":5312},[5302,16017,5289],{"class":5355},[5302,16019,5371],{"class":5312},[5302,16021,7310],{"class":5456},[5302,16023,5483],{"class":5312},[5302,16025,5289],{"class":5355},[5302,16027,5359],{"class":5312},[5302,16029,16030,16033,16036],{"class":5304,"line":5349},[5302,16031,16032],{"class":5312},"plt.title(",[5302,16034,16035],{"class":5486},"\"Кореляційна матриця\"",[5302,16037,5359],{"class":5312},[5302,16039,16040],{"class":5304,"line":5362},[5302,16041,5436],{"class":5312},[5255,16043,16044],{},[5895,16045],{"alt":16046,"className":16047,"src":16048},"Кореляційна матриця Heatmap",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F12.png",[5255,16050,16051,16052,16055],{},"Показує ті ж залежності, але компактніше. Однак ",[5224,16053,16054],{},"не показує нелінійні залежності"," та викиди.",[5280,16057,16059,16060],{"id":16058},"побудова-кореляційної-матриці-засобами-чистого-matplotlib-сигнатура-aximshow","Побудова кореляційної матриці засобами чистого Matplotlib: сигнатура ",[5299,16061,12951],{},[5255,16063,16064,16065,16068,16069,16073],{},"Хоча Seaborn пропонує зручну обгортку ",[5299,16066,16067],{},"sns.heatmap()",", у виробничих середовищах із мінімальними залежностями або при створенні кастомних звітів фундаментальним інструментом є ",[5224,16070,16071],{},[5299,16072,12951],{}," з чистого Matplotlib. Він дозволяє візуалізувати двовимірний масив як матрицю кольорових пікселів із повним контролем над кожною клітинкою.",[5292,16075,16077],{"className":5294,"code":16076,"language":5296,"meta":5297,"style":5297},"ax.imshow(\n    X,\n    cmap=None,\n    norm=None,\n    aspect=None,\n    interpolation=None,\n    alpha=None,\n    vmin=None,\n    vmax=None,\n    origin='upper',\n    extent=None,\n    filternorm=True,\n    filterrad=4.0,\n    resample=None,\n    url=None,\n    **kwargs\n) -> AxesImage\n",[5299,16078,16079,16084,16089,16099,16109,16119,16130,16140,16150,16160,16172,16183,16194,16206,16217,16228,16232],{"__ignoreMap":5297},[5302,16080,16081],{"class":5304,"line":5305},[5302,16082,16083],{"class":5312},"ax.imshow(\n",[5302,16085,16086],{"class":5304,"line":5322},[5302,16087,16088],{"class":5312},"    X,\n",[5302,16090,16091,16093,16095,16097],{"class":5304,"line":5335},[5302,16092,6990],{"class":5456},[5302,16094,5483],{"class":5312},[5302,16096,6961],{"class":5716},[5302,16098,5705],{"class":5312},[5302,16100,16101,16103,16105,16107],{"class":5304,"line":5342},[5302,16102,7001],{"class":5456},[5302,16104,5483],{"class":5312},[5302,16106,6961],{"class":5716},[5302,16108,5705],{"class":5312},[5302,16110,16111,16113,16115,16117],{"class":5304,"line":5349},[5302,16112,13053],{"class":5456},[5302,16114,5483],{"class":5312},[5302,16116,6961],{"class":5716},[5302,16118,5705],{"class":5312},[5302,16120,16121,16124,16126,16128],{"class":5304,"line":5362},[5302,16122,16123],{"class":5456},"    interpolation",[5302,16125,5483],{"class":5312},[5302,16127,6961],{"class":5716},[5302,16129,5705],{"class":5312},[5302,16131,16132,16134,16136,16138],{"class":5304,"line":5384},[5302,16133,7034],{"class":5456},[5302,16135,5483],{"class":5312},[5302,16137,6961],{"class":5716},[5302,16139,5705],{"class":5312},[5302,16141,16142,16144,16146,16148],{"class":5304,"line":5416},[5302,16143,7012],{"class":5456},[5302,16145,5483],{"class":5312},[5302,16147,6961],{"class":5716},[5302,16149,5705],{"class":5312},[5302,16151,16152,16154,16156,16158],{"class":5304,"line":5421},[5302,16153,7023],{"class":5456},[5302,16155,5483],{"class":5312},[5302,16157,6961],{"class":5716},[5302,16159,5705],{"class":5312},[5302,16161,16162,16165,16167,16170],{"class":5304,"line":5427},[5302,16163,16164],{"class":5456},"    origin",[5302,16166,5483],{"class":5312},[5302,16168,16169],{"class":5486},"'upper'",[5302,16171,5705],{"class":5312},[5302,16173,16174,16177,16179,16181],{"class":5304,"line":5433},[5302,16175,16176],{"class":5456},"    extent",[5302,16178,5483],{"class":5312},[5302,16180,6961],{"class":5716},[5302,16182,5705],{"class":5312},[5302,16184,16185,16188,16190,16192],{"class":5304,"line":5439},[5302,16186,16187],{"class":5456},"    filternorm",[5302,16189,5483],{"class":5312},[5302,16191,5830],{"class":5716},[5302,16193,5705],{"class":5312},[5302,16195,16196,16199,16201,16204],{"class":5304,"line":5444},[5302,16197,16198],{"class":5456},"    filterrad",[5302,16200,5483],{"class":5312},[5302,16202,16203],{"class":5355},"4.0",[5302,16205,5705],{"class":5312},[5302,16207,16208,16211,16213,16215],{"class":5304,"line":5450},[5302,16209,16210],{"class":5456},"    resample",[5302,16212,5483],{"class":5312},[5302,16214,6961],{"class":5716},[5302,16216,5705],{"class":5312},[5302,16218,16219,16222,16224,16226],{"class":5304,"line":5474},[5302,16220,16221],{"class":5456},"    url",[5302,16223,5483],{"class":5312},[5302,16225,6961],{"class":5716},[5302,16227,5705],{"class":5312},[5302,16229,16230],{"class":5304,"line":5501},[5302,16231,7090],{"class":5312},[5302,16233,16234,16236,16238],{"class":5304,"line":5512},[5302,16235,7095],{"class":5312},[5302,16237,7099],{"class":7098},[5302,16239,16240],{"class":5312}," AxesImage\n",[7104,16242,16243,16255],{},[7107,16244,16245],{},[7110,16246,16247,16249,16251,16253],{},[7113,16248,7116],{"align":7115},[7113,16250,7119],{"align":7115},[7113,16252,7122],{"align":7115},[7113,16254,7125],{"align":7115},[7127,16256,16257,16276,16299,16326,16350,16375],{},[7110,16258,16259,16264,16269,16273],{},[7132,16260,16261],{"align":7115},[5299,16262,16263],{},"X",[7132,16265,16266,16268],{"align":7115},[5299,16267,7144],{}," (2D)",[7132,16270,16271],{"align":7115},[5259,16272,11190],{},[7132,16274,16275],{"align":7115},"Двовимірний масив кореляцій або значень розміром $(N, M)$.",[7110,16277,16278,16282,16286,16290],{},[7132,16279,16280],{"align":7115},[5299,16281,7197],{},[7132,16283,16284],{"align":7115},[5299,16285,7252],{},[7132,16287,16288],{"align":7115},[5299,16289,14715],{},[7132,16291,16292,16293,5371,16295,16298],{"align":7115},"Колірна карта. Для кореляції використовуйте дивергентні (",[5299,16294,7269],{},[5299,16296,16297],{},"'RdBu_r'","), де нейтральний колір відповідає нулю.",[7110,16300,16301,16307,16311,16316],{},[7132,16302,16303,5371,16305],{"align":7115},[5299,16304,7307],{},[5299,16306,7310],{},[7132,16308,16309],{"align":7115},[5299,16310,7315],{},[7132,16312,16313],{"align":7115},[5299,16314,16315],{},"min(X), max(X)",[7132,16317,16318,16321,16322,16325],{"align":7115},[5224,16319,16320],{},"Критично для кореляції:"," завжди задавайте ",[5299,16323,16324],{},"vmin=-1.0, vmax=1.0",", щоб нульовий зв'язок гарантовано був нейтральним, а не зміщувався залежно від даних.",[7110,16327,16328,16333,16338,16343],{},[7132,16329,16330],{"align":7115},[5299,16331,16332],{},"aspect",[7132,16334,16335],{"align":7115},[5299,16336,16337],{},"'equal' | 'auto' | float",[7132,16339,16340],{"align":7115},[5299,16341,16342],{},"rcParams['image.aspect']",[7132,16344,16345,16346,16349],{"align":7115},"Співвідношення сторін: ",[5299,16347,16348],{},"'equal'"," гарантує правильні квадратні комірки таблиці.",[7110,16351,16352,16357,16361,16369],{},[7132,16353,16354],{"align":7115},[5299,16355,16356],{},"interpolation",[7132,16358,16359],{"align":7115},[5299,16360,11122],{},[7132,16362,16363,16365,16366],{"align":7115},[5299,16364,8190],{}," \u002F ",[5299,16367,16368],{},"'nearest'",[7132,16370,16371,16372,16374],{"align":7115},"Спосіб інтерполяції пікселів. Для табличних матриць кореляції слід обирати ",[5299,16373,16368],{}," (без розмиття).",[7110,16376,16377,16382,16387,16391],{},[7132,16378,16379],{"align":7115},[5299,16380,16381],{},"origin",[7132,16383,16384],{"align":7115},[5299,16385,16386],{},"'upper' | 'lower'",[7132,16388,16389],{"align":7115},[5299,16390,16169],{},[7132,16392,16393,16394,11008,16397,16399],{"align":7115},"Розташування індексу ",[5302,16395,16396],{},"0, 0",[5299,16398,16169],{}," відповідає класичній математичній матриці (зліва зверху).",[5271,16401,16403,16412,17755],{"title":16402,"kernel":5274},"pure_matplotlib_correlation_heatmap.ipynb",[5276,16404,16405,16409],{"type":5278},[5280,16406,16408],{"id":16407},"майстерність-чистого-matplotlib-анотації-та-трикутна-маска","Майстерність чистого Matplotlib: анотації та трикутна маска",[5255,16410,16411],{},"Побудова інформативного Correlation Heatmap без сторонніх бібліотек",[5276,16413,16415,17748],{"execution-count":5289,"execution-time":16414},"0.29s",[5292,16416,16418],{"className":5294,"code":16417,"language":5296,"meta":5297,"style":5297},"import matplotlib.pyplot as plt\nimport numpy as np\n\n# Системні метрики сервера\nmetrics = [\"CPU %\", \"RAM GB\", \"IOPS\", \"Net In\", \"Latency\"]\ncorr = np.array([\n    [1.00,  0.72,  0.58,  0.41,  0.86],\n    [0.72,  1.00,  0.34,  0.28,  0.64],\n    [0.58,  0.34,  1.00,  0.69,  0.45],\n    [0.41,  0.28,  0.69,  1.00,  0.31],\n    [0.86,  0.64,  0.45,  0.31,  1.00]\n])\n\nfig, axes = plt.subplots(2, 2, figsize=(13, 11))\n\n# 1. Базовий imshow з фіксованими vmin\u002Fvmax\nim1 = axes[0, 0].imshow(corr, cmap='coolwarm', vmin=-1, vmax=1)\nfig.colorbar(im1, ax=axes[0, 0], fraction=0.046, pad=0.04)\naxes[0, 0].set_xticks(range(len(metrics)))\naxes[0, 0].set_yticks(range(len(metrics)))\naxes[0, 0].set_xticklabels(metrics, rotation=35, ha='right')\naxes[0, 0].set_yticklabels(metrics)\naxes[0, 0].set_title(\"Базовий Heatmap: ax.imshow(corr, cmap='coolwarm')\\nФіксований діапазон vmin=-1, vmax=1\", fontweight='bold')\n\n# 2. Матриця з динамічними текстовими анотаціями (ax.text)\nim2 = axes[0, 1].imshow(corr, cmap='RdBu_r', vmin=-1, vmax=1)\nfig.colorbar(im2, ax=axes[0, 1], fraction=0.046, pad=0.04)\naxes[0, 1].set_xticks(range(len(metrics)))\naxes[0, 1].set_yticks(range(len(metrics)))\naxes[0, 1].set_xticklabels(metrics, rotation=35, ha='right')\naxes[0, 1].set_yticklabels(metrics)\nfor i in range(len(metrics)):\n    for j in range(len(metrics)):\n        val = corr[i, j]\n        # Адаптивний колір шрифту для контрасту на темних комірках\n        txt_col = 'white' if abs(val) > 0.65 else 'black'\n        axes[0, 1].text(j, i, f\"{val:.2f}\", ha='center', va='center', \n                        color=txt_col, fontweight='bold', fontsize=9.5)\naxes[0, 1].set_title(\"Матриця з числовими анотаціями (ax.text)\\nТочні числові коефіцієнти всередині клітинок\", fontweight='bold')\n\n# 3. Ефект інтерполяції (bilinear vs nearest)\nsub_corr = corr[:3, :3]\nim3 = axes[1, 0].imshow(sub_corr, cmap='viridis', interpolation='bilinear')\nfig.colorbar(im3, ax=axes[1, 0], fraction=0.046, pad=0.04)\naxes[1, 0].set_xticks(range(3))\naxes[1, 0].set_yticks(range(3))\naxes[1, 0].set_xticklabels(metrics[:3])\naxes[1, 0].set_yticklabels(metrics[:3])\naxes[1, 0].set_title(\"Ефект інтерполяції: interpolation='bilinear'\\nЗгладжування градієнтів для просторових карт\", fontweight='bold')\n\n# 4. Трикутна маска (усунення дублювання симетричних пар)\nmask = np.triu(np.ones_like(corr, dtype=bool), k=1)\nmasked_corr = np.ma.masked_where(~mask, corr)\nim4 = axes[1, 1].imshow(masked_corr, cmap='coolwarm', vmin=-1, vmax=1)\nfig.colorbar(im4, ax=axes[1, 1], fraction=0.046, pad=0.04)\naxes[1, 1].set_xticks(range(len(metrics)))\naxes[1, 1].set_yticks(range(len(metrics)))\naxes[1, 1].set_xticklabels(metrics, rotation=35, ha='right')\naxes[1, 1].set_yticklabels(metrics)\nfor i in range(len(metrics)):\n    for j in range(len(metrics)):\n        if mask[i, j]:\n            val = corr[i, j]\n            txt_col = 'white' if abs(val) > 0.65 else 'black'\n            axes[1, 1].text(j, i, f\"{val:.2f}\", ha='center', va='center', \n                            color=txt_col, fontweight='bold', fontsize=9.5)\naxes[1, 1].set_title(\"Трикутна маска (np.triu):\\nусунення дублювання пар і тривіальної діагоналі\", fontweight='bold')\n\nplt.tight_layout()\nplt.show()\n",[5299,16419,16420,16430,16440,16444,16449,16479,16484,16515,16542,16567,16592,16616,16620,16624,16648,16652,16657,16695,16728,16751,16771,16804,16817,16847,16851,16856,16893,16926,16946,16966,16994,17006,17025,17043,17048,17053,17079,17126,17150,17180,17184,17189,17203,17234,17267,17287,17307,17324,17341,17371,17375,17380,17404,17409,17447,17481,17502,17523,17552,17565,17582,17599,17608,17614,17634,17678,17702,17733,17738,17743],{"__ignoreMap":5297},[5302,16421,16422,16424,16426,16428],{"class":5304,"line":5305},[5302,16423,5309],{"class":5308},[5302,16425,5313],{"class":5312},[5302,16427,5316],{"class":5308},[5302,16429,5319],{"class":5312},[5302,16431,16432,16434,16436,16438],{"class":5304,"line":5322},[5302,16433,5309],{"class":5308},[5302,16435,5327],{"class":5312},[5302,16437,5316],{"class":5308},[5302,16439,5332],{"class":5312},[5302,16441,16442],{"class":5304,"line":5335},[5302,16443,5339],{"emptyLinePlaceholder":5338},[5302,16445,16446],{"class":5304,"line":5342},[5302,16447,16448],{"class":5345},"# Системні метрики сервера\n",[5302,16450,16451,16454,16457,16459,16462,16464,16467,16469,16472,16474,16477],{"class":5304,"line":5349},[5302,16452,16453],{"class":5312},"metrics = [",[5302,16455,16456],{"class":5486},"\"CPU %\"",[5302,16458,5371],{"class":5312},[5302,16460,16461],{"class":5486},"\"RAM GB\"",[5302,16463,5371],{"class":5312},[5302,16465,16466],{"class":5486},"\"IOPS\"",[5302,16468,5371],{"class":5312},[5302,16470,16471],{"class":5486},"\"Net In\"",[5302,16473,5371],{"class":5312},[5302,16475,16476],{"class":5486},"\"Latency\"",[5302,16478,8797],{"class":5312},[5302,16480,16481],{"class":5304,"line":5362},[5302,16482,16483],{"class":5312},"corr = np.array([\n",[5302,16485,16486,16489,16492,16494,16497,16499,16502,16504,16507,16509,16512],{"class":5304,"line":5384},[5302,16487,16488],{"class":5312},"    [",[5302,16490,16491],{"class":5355},"1.00",[5302,16493,13023],{"class":5312},[5302,16495,16496],{"class":5355},"0.72",[5302,16498,13023],{"class":5312},[5302,16500,16501],{"class":5355},"0.58",[5302,16503,13023],{"class":5312},[5302,16505,16506],{"class":5355},"0.41",[5302,16508,13023],{"class":5312},[5302,16510,16511],{"class":5355},"0.86",[5302,16513,16514],{"class":5312},"],\n",[5302,16516,16517,16519,16521,16523,16525,16527,16530,16532,16535,16537,16540],{"class":5304,"line":5416},[5302,16518,16488],{"class":5312},[5302,16520,16496],{"class":5355},[5302,16522,13023],{"class":5312},[5302,16524,16491],{"class":5355},[5302,16526,13023],{"class":5312},[5302,16528,16529],{"class":5355},"0.34",[5302,16531,13023],{"class":5312},[5302,16533,16534],{"class":5355},"0.28",[5302,16536,13023],{"class":5312},[5302,16538,16539],{"class":5355},"0.64",[5302,16541,16514],{"class":5312},[5302,16543,16544,16546,16548,16550,16552,16554,16556,16558,16561,16563,16565],{"class":5304,"line":5421},[5302,16545,16488],{"class":5312},[5302,16547,16501],{"class":5355},[5302,16549,13023],{"class":5312},[5302,16551,16529],{"class":5355},[5302,16553,13023],{"class":5312},[5302,16555,16491],{"class":5355},[5302,16557,13023],{"class":5312},[5302,16559,16560],{"class":5355},"0.69",[5302,16562,13023],{"class":5312},[5302,16564,8242],{"class":5355},[5302,16566,16514],{"class":5312},[5302,16568,16569,16571,16573,16575,16577,16579,16581,16583,16585,16587,16590],{"class":5304,"line":5427},[5302,16570,16488],{"class":5312},[5302,16572,16506],{"class":5355},[5302,16574,13023],{"class":5312},[5302,16576,16534],{"class":5355},[5302,16578,13023],{"class":5312},[5302,16580,16560],{"class":5355},[5302,16582,13023],{"class":5312},[5302,16584,16491],{"class":5355},[5302,16586,13023],{"class":5312},[5302,16588,16589],{"class":5355},"0.31",[5302,16591,16514],{"class":5312},[5302,16593,16594,16596,16598,16600,16602,16604,16606,16608,16610,16612,16614],{"class":5304,"line":5433},[5302,16595,16488],{"class":5312},[5302,16597,16511],{"class":5355},[5302,16599,13023],{"class":5312},[5302,16601,16539],{"class":5355},[5302,16603,13023],{"class":5312},[5302,16605,8242],{"class":5355},[5302,16607,13023],{"class":5312},[5302,16609,16589],{"class":5355},[5302,16611,13023],{"class":5312},[5302,16613,16491],{"class":5355},[5302,16615,8797],{"class":5312},[5302,16617,16618],{"class":5304,"line":5439},[5302,16619,12002],{"class":5312},[5302,16621,16622],{"class":5304,"line":5444},[5302,16623,5339],{"emptyLinePlaceholder":5338},[5302,16625,16626,16628,16630,16632,16634,16636,16638,16640,16642,16644,16646],{"class":5304,"line":5450},[5302,16627,7436],{"class":5312},[5302,16629,5702],{"class":5355},[5302,16631,5371],{"class":5312},[5302,16633,5702],{"class":5355},[5302,16635,5371],{"class":5312},[5302,16637,5457],{"class":5456},[5302,16639,5460],{"class":5312},[5302,16641,7451],{"class":5355},[5302,16643,5371],{"class":5312},[5302,16645,6379],{"class":5355},[5302,16647,5471],{"class":5312},[5302,16649,16650],{"class":5304,"line":5474},[5302,16651,5339],{"emptyLinePlaceholder":5338},[5302,16653,16654],{"class":5304,"line":5501},[5302,16655,16656],{"class":5345},"# 1. Базовий imshow з фіксованими vmin\u002Fvmax\n",[5302,16658,16659,16662,16664,16666,16668,16671,16673,16675,16677,16679,16681,16683,16685,16687,16689,16691,16693],{"class":5304,"line":5512},[5302,16660,16661],{"class":5312},"im1 = axes[",[5302,16663,5402],{"class":5355},[5302,16665,5371],{"class":5312},[5302,16667,5402],{"class":5355},[5302,16669,16670],{"class":5312},"].imshow(corr, ",[5302,16672,7197],{"class":5456},[5302,16674,5483],{"class":5312},[5302,16676,7269],{"class":5486},[5302,16678,5371],{"class":5312},[5302,16680,7307],{"class":5456},[5302,16682,13697],{"class":5312},[5302,16684,5289],{"class":5355},[5302,16686,5371],{"class":5312},[5302,16688,7310],{"class":5456},[5302,16690,5483],{"class":5312},[5302,16692,5289],{"class":5355},[5302,16694,5359],{"class":5312},[5302,16696,16697,16700,16702,16704,16706,16708,16710,16712,16714,16716,16718,16720,16722,16724,16726],{"class":5304,"line":5523},[5302,16698,16699],{"class":5312},"fig.colorbar(im1, ",[5302,16701,8486],{"class":5456},[5302,16703,8489],{"class":5312},[5302,16705,5402],{"class":5355},[5302,16707,5371],{"class":5312},[5302,16709,5402],{"class":5355},[5302,16711,7531],{"class":5312},[5302,16713,8500],{"class":5456},[5302,16715,5483],{"class":5312},[5302,16717,8505],{"class":5355},[5302,16719,5371],{"class":5312},[5302,16721,8510],{"class":5456},[5302,16723,5483],{"class":5312},[5302,16725,8515],{"class":5355},[5302,16727,5359],{"class":5312},[5302,16729,16730,16732,16734,16736,16738,16741,16743,16745,16748],{"class":5304,"line":5534},[5302,16731,7512],{"class":5312},[5302,16733,5402],{"class":5355},[5302,16735,5371],{"class":5312},[5302,16737,5402],{"class":5355},[5302,16739,16740],{"class":5312},"].set_xticks(",[5302,16742,7999],{"class":7867},[5302,16744,8002],{"class":5312},[5302,16746,16747],{"class":7867},"len",[5302,16749,16750],{"class":5312},"(metrics)))\n",[5302,16752,16753,16755,16757,16759,16761,16763,16765,16767,16769],{"class":5304,"line":5539},[5302,16754,7512],{"class":5312},[5302,16756,5402],{"class":5355},[5302,16758,5371],{"class":5312},[5302,16760,5402],{"class":5355},[5302,16762,7996],{"class":5312},[5302,16764,7999],{"class":7867},[5302,16766,8002],{"class":5312},[5302,16768,16747],{"class":7867},[5302,16770,16750],{"class":5312},[5302,16772,16773,16775,16777,16779,16781,16784,16787,16789,16792,16794,16797,16799,16802],{"class":5304,"line":5544},[5302,16774,7512],{"class":5312},[5302,16776,5402],{"class":5355},[5302,16778,5371],{"class":5312},[5302,16780,5402],{"class":5355},[5302,16782,16783],{"class":5312},"].set_xticklabels(metrics, ",[5302,16785,16786],{"class":5456},"rotation",[5302,16788,5483],{"class":5312},[5302,16790,16791],{"class":5355},"35",[5302,16793,5371],{"class":5312},[5302,16795,16796],{"class":5456},"ha",[5302,16798,5483],{"class":5312},[5302,16800,16801],{"class":5486},"'right'",[5302,16803,5359],{"class":5312},[5302,16805,16806,16808,16810,16812,16814],{"class":5304,"line":5550},[5302,16807,7512],{"class":5312},[5302,16809,5402],{"class":5355},[5302,16811,5371],{"class":5312},[5302,16813,5402],{"class":5355},[5302,16815,16816],{"class":5312},"].set_yticklabels(metrics)\n",[5302,16818,16819,16821,16823,16825,16827,16829,16832,16834,16837,16839,16841,16843,16845],{"class":5304,"line":5569},[5302,16820,7512],{"class":5312},[5302,16822,5402],{"class":5355},[5302,16824,5371],{"class":5312},[5302,16826,5402],{"class":5355},[5302,16828,7718],{"class":5312},[5302,16830,16831],{"class":5486},"\"Базовий Heatmap: ax.imshow(corr, cmap='coolwarm')",[5302,16833,8856],{"class":8855},[5302,16835,16836],{"class":5486},"Фіксований діапазон vmin=-1, vmax=1\"",[5302,16838,5371],{"class":5312},[5302,16840,5780],{"class":5456},[5302,16842,5483],{"class":5312},[5302,16844,5785],{"class":5486},[5302,16846,5359],{"class":5312},[5302,16848,16849],{"class":5304,"line":5593},[5302,16850,5339],{"emptyLinePlaceholder":5338},[5302,16852,16853],{"class":5304,"line":5635},[5302,16854,16855],{"class":5345},"# 2. Матриця з динамічними текстовими анотаціями (ax.text)\n",[5302,16857,16858,16861,16863,16865,16867,16869,16871,16873,16875,16877,16879,16881,16883,16885,16887,16889,16891],{"class":5304,"line":5640},[5302,16859,16860],{"class":5312},"im2 = axes[",[5302,16862,5402],{"class":5355},[5302,16864,5371],{"class":5312},[5302,16866,5289],{"class":5355},[5302,16868,16670],{"class":5312},[5302,16870,7197],{"class":5456},[5302,16872,5483],{"class":5312},[5302,16874,16297],{"class":5486},[5302,16876,5371],{"class":5312},[5302,16878,7307],{"class":5456},[5302,16880,13697],{"class":5312},[5302,16882,5289],{"class":5355},[5302,16884,5371],{"class":5312},[5302,16886,7310],{"class":5456},[5302,16888,5483],{"class":5312},[5302,16890,5289],{"class":5355},[5302,16892,5359],{"class":5312},[5302,16894,16895,16898,16900,16902,16904,16906,16908,16910,16912,16914,16916,16918,16920,16922,16924],{"class":5304,"line":5646},[5302,16896,16897],{"class":5312},"fig.colorbar(im2, ",[5302,16899,8486],{"class":5456},[5302,16901,8489],{"class":5312},[5302,16903,5402],{"class":5355},[5302,16905,5371],{"class":5312},[5302,16907,5289],{"class":5355},[5302,16909,7531],{"class":5312},[5302,16911,8500],{"class":5456},[5302,16913,5483],{"class":5312},[5302,16915,8505],{"class":5355},[5302,16917,5371],{"class":5312},[5302,16919,8510],{"class":5456},[5302,16921,5483],{"class":5312},[5302,16923,8515],{"class":5355},[5302,16925,5359],{"class":5312},[5302,16927,16928,16930,16932,16934,16936,16938,16940,16942,16944],{"class":5304,"line":5656},[5302,16929,7512],{"class":5312},[5302,16931,5402],{"class":5355},[5302,16933,5371],{"class":5312},[5302,16935,5289],{"class":5355},[5302,16937,16740],{"class":5312},[5302,16939,7999],{"class":7867},[5302,16941,8002],{"class":5312},[5302,16943,16747],{"class":7867},[5302,16945,16750],{"class":5312},[5302,16947,16948,16950,16952,16954,16956,16958,16960,16962,16964],{"class":5304,"line":5662},[5302,16949,7512],{"class":5312},[5302,16951,5402],{"class":5355},[5302,16953,5371],{"class":5312},[5302,16955,5289],{"class":5355},[5302,16957,7996],{"class":5312},[5302,16959,7999],{"class":7867},[5302,16961,8002],{"class":5312},[5302,16963,16747],{"class":7867},[5302,16965,16750],{"class":5312},[5302,16967,16968,16970,16972,16974,16976,16978,16980,16982,16984,16986,16988,16990,16992],{"class":5304,"line":5673},[5302,16969,7512],{"class":5312},[5302,16971,5402],{"class":5355},[5302,16973,5371],{"class":5312},[5302,16975,5289],{"class":5355},[5302,16977,16783],{"class":5312},[5302,16979,16786],{"class":5456},[5302,16981,5483],{"class":5312},[5302,16983,16791],{"class":5355},[5302,16985,5371],{"class":5312},[5302,16987,16796],{"class":5456},[5302,16989,5483],{"class":5312},[5302,16991,16801],{"class":5486},[5302,16993,5359],{"class":5312},[5302,16995,16996,16998,17000,17002,17004],{"class":5304,"line":5708},[5302,16997,7512],{"class":5312},[5302,16999,5402],{"class":5355},[5302,17001,5371],{"class":5312},[5302,17003,5289],{"class":5355},[5302,17005,16816],{"class":5312},[5302,17007,17008,17010,17013,17015,17018,17020,17022],{"class":5304,"line":5756},[5302,17009,7858],{"class":5308},[5302,17011,17012],{"class":5312}," i ",[5302,17014,7864],{"class":5308},[5302,17016,17017],{"class":7867}," range",[5302,17019,8002],{"class":5312},[5302,17021,16747],{"class":7867},[5302,17023,17024],{"class":5312},"(metrics)):\n",[5302,17026,17027,17030,17033,17035,17037,17039,17041],{"class":5304,"line":5761},[5302,17028,17029],{"class":5308},"    for",[5302,17031,17032],{"class":5312}," j ",[5302,17034,7864],{"class":5308},[5302,17036,17017],{"class":7867},[5302,17038,8002],{"class":5312},[5302,17040,16747],{"class":7867},[5302,17042,17024],{"class":5312},[5302,17044,17045],{"class":5304,"line":5790},[5302,17046,17047],{"class":5312},"        val = corr[i, j]\n",[5302,17049,17050],{"class":5304,"line":5807},[5302,17051,17052],{"class":5345},"        # Адаптивний колір шрифту для контрасту на темних комірках\n",[5302,17054,17055,17058,17061,17064,17067,17070,17073,17076],{"class":5304,"line":5824},[5302,17056,17057],{"class":5312},"        txt_col = ",[5302,17059,17060],{"class":5486},"'white'",[5302,17062,17063],{"class":5308}," if",[5302,17065,17066],{"class":7867}," abs",[5302,17068,17069],{"class":5312},"(val) > ",[5302,17071,17072],{"class":5355},"0.65",[5302,17074,17075],{"class":5308}," else",[5302,17077,17078],{"class":5486}," 'black'\n",[5302,17080,17081,17084,17086,17088,17090,17093,17095,17097,17099,17102,17104,17106,17108,17110,17112,17115,17117,17120,17122,17124],{"class":5304,"line":5853},[5302,17082,17083],{"class":5312},"        axes[",[5302,17085,5402],{"class":5355},[5302,17087,5371],{"class":5312},[5302,17089,5289],{"class":5355},[5302,17091,17092],{"class":5312},"].text(j, i, ",[5302,17094,5717],{"class":5716},[5302,17096,5751],{"class":5486},[5302,17098,5723],{"class":5716},[5302,17100,17101],{"class":5312},"val",[5302,17103,5734],{"class":5716},[5302,17105,5751],{"class":5486},[5302,17107,5371],{"class":5312},[5302,17109,16796],{"class":5456},[5302,17111,5483],{"class":5312},[5302,17113,17114],{"class":5486},"'center'",[5302,17116,5371],{"class":5312},[5302,17118,17119],{"class":5456},"va",[5302,17121,5483],{"class":5312},[5302,17123,17114],{"class":5486},[5302,17125,5590],{"class":5312},[5302,17127,17128,17131,17134,17136,17138,17140,17142,17144,17146,17148],{"class":5304,"line":5888},[5302,17129,17130],{"class":5456},"                        color",[5302,17132,17133],{"class":5312},"=txt_col, ",[5302,17135,5780],{"class":5456},[5302,17137,5483],{"class":5312},[5302,17139,5785],{"class":5486},[5302,17141,5371],{"class":5312},[5302,17143,5771],{"class":5456},[5302,17145,5483],{"class":5312},[5302,17147,7456],{"class":5355},[5302,17149,5359],{"class":5312},[5302,17151,17152,17154,17156,17158,17160,17162,17165,17167,17170,17172,17174,17176,17178],{"class":5304,"line":8362},[5302,17153,7512],{"class":5312},[5302,17155,5402],{"class":5355},[5302,17157,5371],{"class":5312},[5302,17159,5289],{"class":5355},[5302,17161,7718],{"class":5312},[5302,17163,17164],{"class":5486},"\"Матриця з числовими анотаціями (ax.text)",[5302,17166,8856],{"class":8855},[5302,17168,17169],{"class":5486},"Точні числові коефіцієнти всередині клітинок\"",[5302,17171,5371],{"class":5312},[5302,17173,5780],{"class":5456},[5302,17175,5483],{"class":5312},[5302,17177,5785],{"class":5486},[5302,17179,5359],{"class":5312},[5302,17181,17182],{"class":5304,"line":8381},[5302,17183,5339],{"emptyLinePlaceholder":5338},[5302,17185,17186],{"class":5304,"line":8404},[5302,17187,17188],{"class":5345},"# 3. Ефект інтерполяції (bilinear vs nearest)\n",[5302,17190,17191,17194,17196,17199,17201],{"class":5304,"line":8416},[5302,17192,17193],{"class":5312},"sub_corr = corr[:",[5302,17195,8768],{"class":5355},[5302,17197,17198],{"class":5312},", :",[5302,17200,8768],{"class":5355},[5302,17202,8797],{"class":5312},[5302,17204,17205,17208,17210,17212,17214,17217,17219,17221,17223,17225,17227,17229,17232],{"class":5304,"line":8480},[5302,17206,17207],{"class":5312},"im3 = axes[",[5302,17209,5289],{"class":5355},[5302,17211,5371],{"class":5312},[5302,17213,5402],{"class":5355},[5302,17215,17216],{"class":5312},"].imshow(sub_corr, ",[5302,17218,7197],{"class":5456},[5302,17220,5483],{"class":5312},[5302,17222,7263],{"class":5486},[5302,17224,5371],{"class":5312},[5302,17226,16356],{"class":5456},[5302,17228,5483],{"class":5312},[5302,17230,17231],{"class":5486},"'bilinear'",[5302,17233,5359],{"class":5312},[5302,17235,17236,17239,17241,17243,17245,17247,17249,17251,17253,17255,17257,17259,17261,17263,17265],{"class":5304,"line":8520},[5302,17237,17238],{"class":5312},"fig.colorbar(im3, ",[5302,17240,8486],{"class":5456},[5302,17242,8489],{"class":5312},[5302,17244,5289],{"class":5355},[5302,17246,5371],{"class":5312},[5302,17248,5402],{"class":5355},[5302,17250,7531],{"class":5312},[5302,17252,8500],{"class":5456},[5302,17254,5483],{"class":5312},[5302,17256,8505],{"class":5355},[5302,17258,5371],{"class":5312},[5302,17260,8510],{"class":5456},[5302,17262,5483],{"class":5312},[5302,17264,8515],{"class":5355},[5302,17266,5359],{"class":5312},[5302,17268,17269,17271,17273,17275,17277,17279,17281,17283,17285],{"class":5304,"line":8531},[5302,17270,7512],{"class":5312},[5302,17272,5289],{"class":5355},[5302,17274,5371],{"class":5312},[5302,17276,5402],{"class":5355},[5302,17278,16740],{"class":5312},[5302,17280,7999],{"class":7867},[5302,17282,8002],{"class":5312},[5302,17284,8768],{"class":5355},[5302,17286,5471],{"class":5312},[5302,17288,17289,17291,17293,17295,17297,17299,17301,17303,17305],{"class":5304,"line":8557},[5302,17290,7512],{"class":5312},[5302,17292,5289],{"class":5355},[5302,17294,5371],{"class":5312},[5302,17296,5402],{"class":5355},[5302,17298,7996],{"class":5312},[5302,17300,7999],{"class":7867},[5302,17302,8002],{"class":5312},[5302,17304,8768],{"class":5355},[5302,17306,5471],{"class":5312},[5302,17308,17309,17311,17313,17315,17317,17320,17322],{"class":5304,"line":8590},[5302,17310,7512],{"class":5312},[5302,17312,5289],{"class":5355},[5302,17314,5371],{"class":5312},[5302,17316,5402],{"class":5355},[5302,17318,17319],{"class":5312},"].set_xticklabels(metrics[:",[5302,17321,8768],{"class":5355},[5302,17323,12002],{"class":5312},[5302,17325,17326,17328,17330,17332,17334,17337,17339],{"class":5304,"line":8595},[5302,17327,7512],{"class":5312},[5302,17329,5289],{"class":5355},[5302,17331,5371],{"class":5312},[5302,17333,5402],{"class":5355},[5302,17335,17336],{"class":5312},"].set_yticklabels(metrics[:",[5302,17338,8768],{"class":5355},[5302,17340,12002],{"class":5312},[5302,17342,17343,17345,17347,17349,17351,17353,17356,17358,17361,17363,17365,17367,17369],{"class":5304,"line":8600},[5302,17344,7512],{"class":5312},[5302,17346,5289],{"class":5355},[5302,17348,5371],{"class":5312},[5302,17350,5402],{"class":5355},[5302,17352,7718],{"class":5312},[5302,17354,17355],{"class":5486},"\"Ефект інтерполяції: interpolation='bilinear'",[5302,17357,8856],{"class":8855},[5302,17359,17360],{"class":5486},"Згладжування градієнтів для просторових карт\"",[5302,17362,5371],{"class":5312},[5302,17364,5780],{"class":5456},[5302,17366,5483],{"class":5312},[5302,17368,5785],{"class":5486},[5302,17370,5359],{"class":5312},[5302,17372,17373],{"class":5304,"line":9560},[5302,17374,5339],{"emptyLinePlaceholder":5338},[5302,17376,17377],{"class":5304,"line":9577},[5302,17378,17379],{"class":5345},"# 4. Трикутна маска (усунення дублювання симетричних пар)\n",[5302,17381,17382,17385,17388,17390,17392,17395,17398,17400,17402],{"class":5304,"line":9602},[5302,17383,17384],{"class":5312},"mask = np.triu(np.ones_like(corr, ",[5302,17386,17387],{"class":5456},"dtype",[5302,17389,5483],{"class":5312},[5302,17391,11091],{"class":11061},[5302,17393,17394],{"class":5312},"), ",[5302,17396,17397],{"class":5456},"k",[5302,17399,5483],{"class":5312},[5302,17401,5289],{"class":5355},[5302,17403,5359],{"class":5312},[5302,17405,17406],{"class":5304,"line":9607},[5302,17407,17408],{"class":5312},"masked_corr = np.ma.masked_where(~mask, corr)\n",[5302,17410,17411,17414,17416,17418,17420,17423,17425,17427,17429,17431,17433,17435,17437,17439,17441,17443,17445],{"class":5304,"line":9612},[5302,17412,17413],{"class":5312},"im4 = axes[",[5302,17415,5289],{"class":5355},[5302,17417,5371],{"class":5312},[5302,17419,5289],{"class":5355},[5302,17421,17422],{"class":5312},"].imshow(masked_corr, ",[5302,17424,7197],{"class":5456},[5302,17426,5483],{"class":5312},[5302,17428,7269],{"class":5486},[5302,17430,5371],{"class":5312},[5302,17432,7307],{"class":5456},[5302,17434,13697],{"class":5312},[5302,17436,5289],{"class":5355},[5302,17438,5371],{"class":5312},[5302,17440,7310],{"class":5456},[5302,17442,5483],{"class":5312},[5302,17444,5289],{"class":5355},[5302,17446,5359],{"class":5312},[5302,17448,17450,17453,17455,17457,17459,17461,17463,17465,17467,17469,17471,17473,17475,17477,17479],{"class":5304,"line":17449},55,[5302,17451,17452],{"class":5312},"fig.colorbar(im4, ",[5302,17454,8486],{"class":5456},[5302,17456,8489],{"class":5312},[5302,17458,5289],{"class":5355},[5302,17460,5371],{"class":5312},[5302,17462,5289],{"class":5355},[5302,17464,7531],{"class":5312},[5302,17466,8500],{"class":5456},[5302,17468,5483],{"class":5312},[5302,17470,8505],{"class":5355},[5302,17472,5371],{"class":5312},[5302,17474,8510],{"class":5456},[5302,17476,5483],{"class":5312},[5302,17478,8515],{"class":5355},[5302,17480,5359],{"class":5312},[5302,17482,17484,17486,17488,17490,17492,17494,17496,17498,17500],{"class":5304,"line":17483},56,[5302,17485,7512],{"class":5312},[5302,17487,5289],{"class":5355},[5302,17489,5371],{"class":5312},[5302,17491,5289],{"class":5355},[5302,17493,16740],{"class":5312},[5302,17495,7999],{"class":7867},[5302,17497,8002],{"class":5312},[5302,17499,16747],{"class":7867},[5302,17501,16750],{"class":5312},[5302,17503,17505,17507,17509,17511,17513,17515,17517,17519,17521],{"class":5304,"line":17504},57,[5302,17506,7512],{"class":5312},[5302,17508,5289],{"class":5355},[5302,17510,5371],{"class":5312},[5302,17512,5289],{"class":5355},[5302,17514,7996],{"class":5312},[5302,17516,7999],{"class":7867},[5302,17518,8002],{"class":5312},[5302,17520,16747],{"class":7867},[5302,17522,16750],{"class":5312},[5302,17524,17526,17528,17530,17532,17534,17536,17538,17540,17542,17544,17546,17548,17550],{"class":5304,"line":17525},58,[5302,17527,7512],{"class":5312},[5302,17529,5289],{"class":5355},[5302,17531,5371],{"class":5312},[5302,17533,5289],{"class":5355},[5302,17535,16783],{"class":5312},[5302,17537,16786],{"class":5456},[5302,17539,5483],{"class":5312},[5302,17541,16791],{"class":5355},[5302,17543,5371],{"class":5312},[5302,17545,16796],{"class":5456},[5302,17547,5483],{"class":5312},[5302,17549,16801],{"class":5486},[5302,17551,5359],{"class":5312},[5302,17553,17555,17557,17559,17561,17563],{"class":5304,"line":17554},59,[5302,17556,7512],{"class":5312},[5302,17558,5289],{"class":5355},[5302,17560,5371],{"class":5312},[5302,17562,5289],{"class":5355},[5302,17564,16816],{"class":5312},[5302,17566,17568,17570,17572,17574,17576,17578,17580],{"class":5304,"line":17567},60,[5302,17569,7858],{"class":5308},[5302,17571,17012],{"class":5312},[5302,17573,7864],{"class":5308},[5302,17575,17017],{"class":7867},[5302,17577,8002],{"class":5312},[5302,17579,16747],{"class":7867},[5302,17581,17024],{"class":5312},[5302,17583,17585,17587,17589,17591,17593,17595,17597],{"class":5304,"line":17584},61,[5302,17586,17029],{"class":5308},[5302,17588,17032],{"class":5312},[5302,17590,7864],{"class":5308},[5302,17592,17017],{"class":7867},[5302,17594,8002],{"class":5312},[5302,17596,16747],{"class":7867},[5302,17598,17024],{"class":5312},[5302,17600,17602,17605],{"class":5304,"line":17601},62,[5302,17603,17604],{"class":5308},"        if",[5302,17606,17607],{"class":5312}," mask[i, j]:\n",[5302,17609,17611],{"class":5304,"line":17610},63,[5302,17612,17613],{"class":5312},"            val = corr[i, j]\n",[5302,17615,17617,17620,17622,17624,17626,17628,17630,17632],{"class":5304,"line":17616},64,[5302,17618,17619],{"class":5312},"            txt_col = ",[5302,17621,17060],{"class":5486},[5302,17623,17063],{"class":5308},[5302,17625,17066],{"class":7867},[5302,17627,17069],{"class":5312},[5302,17629,17072],{"class":5355},[5302,17631,17075],{"class":5308},[5302,17633,17078],{"class":5486},[5302,17635,17637,17640,17642,17644,17646,17648,17650,17652,17654,17656,17658,17660,17662,17664,17666,17668,17670,17672,17674,17676],{"class":5304,"line":17636},65,[5302,17638,17639],{"class":5312},"            axes[",[5302,17641,5289],{"class":5355},[5302,17643,5371],{"class":5312},[5302,17645,5289],{"class":5355},[5302,17647,17092],{"class":5312},[5302,17649,5717],{"class":5716},[5302,17651,5751],{"class":5486},[5302,17653,5723],{"class":5716},[5302,17655,17101],{"class":5312},[5302,17657,5734],{"class":5716},[5302,17659,5751],{"class":5486},[5302,17661,5371],{"class":5312},[5302,17663,16796],{"class":5456},[5302,17665,5483],{"class":5312},[5302,17667,17114],{"class":5486},[5302,17669,5371],{"class":5312},[5302,17671,17119],{"class":5456},[5302,17673,5483],{"class":5312},[5302,17675,17114],{"class":5486},[5302,17677,5590],{"class":5312},[5302,17679,17681,17684,17686,17688,17690,17692,17694,17696,17698,17700],{"class":5304,"line":17680},66,[5302,17682,17683],{"class":5456},"                            color",[5302,17685,17133],{"class":5312},[5302,17687,5780],{"class":5456},[5302,17689,5483],{"class":5312},[5302,17691,5785],{"class":5486},[5302,17693,5371],{"class":5312},[5302,17695,5771],{"class":5456},[5302,17697,5483],{"class":5312},[5302,17699,7456],{"class":5355},[5302,17701,5359],{"class":5312},[5302,17703,17705,17707,17709,17711,17713,17715,17718,17720,17723,17725,17727,17729,17731],{"class":5304,"line":17704},67,[5302,17706,7512],{"class":5312},[5302,17708,5289],{"class":5355},[5302,17710,5371],{"class":5312},[5302,17712,5289],{"class":5355},[5302,17714,7718],{"class":5312},[5302,17716,17717],{"class":5486},"\"Трикутна маска (np.triu):",[5302,17719,8856],{"class":8855},[5302,17721,17722],{"class":5486},"усунення дублювання пар і тривіальної діагоналі\"",[5302,17724,5371],{"class":5312},[5302,17726,5780],{"class":5456},[5302,17728,5483],{"class":5312},[5302,17730,5785],{"class":5486},[5302,17732,5359],{"class":5312},[5302,17734,17736],{"class":5304,"line":17735},68,[5302,17737,5339],{"emptyLinePlaceholder":5338},[5302,17739,17741],{"class":5304,"line":17740},69,[5302,17742,6390],{"class":5312},[5302,17744,17746],{"class":5304,"line":17745},70,[5302,17747,5436],{"class":5312},[5892,17749,17750],{"v-slot:output":5297},[5895,17751],{"alt":17752,"className":17753,"src":17754},"Кореляційна матриця засобами ax.imshow",[5899],"\u002Fimages\u002Fai-python\u002Fdata-visualization\u002Frelationships\u002F18.png",[5276,17756,17757,17761],{"type":5278},[5280,17758,17760],{"id":17759},"професійний-прийом-маскування-верхнього-трикутника","Професійний прийом: Маскування верхнього трикутника",[5255,17762,17763,17764,7296,17767,17770,17771,17774],{},"Матриця кореляцій симетрична відносно головної діагоналі ($r_ = r_$), а на самій діагоналі завжди стоять тривіальні одиниці ($r_ = 1.0$).\nВикористання ",[5299,17765,17766],{},"np.triu()",[5299,17768,17769],{},"np.tril()"," у поєднанні з ",[5299,17772,17773],{},"np.ma.masked_where()"," зменшує візуальне навантаження на людину вдвічі, залишаючи лише унікальні співвідношення пар змінних.",[5247,17776],{},[5250,17778,17780],{"id":17779},"практичні-завдання","Практичні завдання",[5190,17782,17783,17817,17876],{},[5193,17784,17787,17797,17811],{"icon":17785,"title":17786},"i-lucide-pencil","📝 Рівень 1: Базові навички",[5255,17788,17789,17792,17793,17796],{},[5224,17790,17791],{},"Завдання 1.1:"," Згенеруйте 100 пар (x, y), де ",[5299,17794,17795],{},"y = 3x + 5 + шум",". Побудуйте scatter plot. Додайте лінію тренду. Обчисліть коефіцієнт кореляції.",[5255,17798,17799,17802,17803,17806,17807,17810],{},[5224,17800,17801],{},"Завдання 1.2:"," Створіть датасет з нелінійною залежністю: ",[5299,17804,17805],{},"y = x² + шум"," на інтервалі ",[5302,17808,17809],{},"-5, 5",". Побудуйте scatter. Обчисліть r. Поясніть, чому r близький до 0, хоча зв'язок очевидний.",[5255,17812,17813,17816],{},[5224,17814,17815],{},"Завдання 1.3:"," Побудуйте scatter plot з кольоровим кодуванням третьої змінної (наприклад, результати іспиту з годинами навчання, колір = спеціальність студента).",[5193,17818,17820,17842,17866],{"icon":2990,"title":17819},"🧮 Рівень 2: Аналіз даних",[5255,17821,17822,17825,17826,17829,17830,17833,17834,17837,17838,17841],{},[5224,17823,17824],{},"Завдання 2.1:"," Завантажте датасет Iris (",[5299,17827,17828],{},"seaborn.load_dataset(\"iris\")","). Побудуйте scatter для ",[5299,17831,17832],{},"sepal_length"," vs ",[5299,17835,17836],{},"sepal_width",". Кольором закодуйте вид (",[5299,17839,17840],{},"species","). Зробіть висновки.",[5255,17843,17844,17847,17848,17851,17852,17833,17855,17857,17858,17861,17862,17865],{},[5224,17845,17846],{},"Завдання 2.2:"," Для датасету Tips (",[5299,17849,17850],{},"seaborn.load_dataset(\"tips\")",") побудуйте scatter: ",[5299,17853,17854],{},"total_bill",[5299,17856,6776],{},". Розміром точок закодуйте ",[5299,17859,17860],{},"size"," (кількість людей). Кольором — ",[5299,17863,17864],{},"time"," (день\u002Fвечір).",[5255,17867,17868,17871,17872,17875],{},[5224,17869,17870],{},"Завдання 2.3:"," Створіть scatter matrix для датасету з 5 змінних (наприклад, з модуля ",[5299,17873,17874],{},"sklearn.datasets"," завантажте Boston Housing або California Housing). Знайдіть дві змінні з найсильнішою кореляцією.",[5193,17877,17879,17885],{"icon":4749,"title":17878},"🚀 Рівень 3: Дослідницький проєкт",[5255,17880,17881,17884],{},[5224,17882,17883],{},"Проєкт:"," Аналіз хибної кореляції",[5908,17886,17887,17910,17918,17935],{},[5201,17888,17889,17890],{},"Згенеруйте три змінні:",[5198,17891,17892,17898,17904],{},[5201,17893,17894,17897],{},[5299,17895,17896],{},"temperature"," (температура повітря 15–35°C)",[5201,17899,17900,17903],{},[5299,17901,17902],{},"ice_cream_sales"," = f(temperature) + шум",[5201,17905,17906,17909],{},[5299,17907,17908],{},"drownings"," = g(temperature) + шум",[5201,17911,17912,17913,17833,17915,17917],{},"Побудуйте scatter plot: ",[5299,17914,17902],{},[5299,17916,17908],{},". Обчисліть r.",[5201,17919,17920,17921,17924,17925,17833,17927,17929,17930,17833,17932,17934],{},"Покажіть, що кореляція ",[5224,17922,17923],{},"хибна",": побудуйте два окремі scatter: ",[5299,17926,17896],{},[5299,17928,17902],{}," та ",[5299,17931,17896],{},[5299,17933,17908],{},". Використайте колірне кодування температури.",[5201,17936,17937,17938,17941],{},"Напишіть короткий висновок: чому продажі морозива корелюють з утопленнями, але ",[5224,17939,17940],{},"не спричиняють"," їх.",[5247,17943],{},[5250,17945,17947],{"id":17946},"резюме-підтеми","Резюме підтеми",[5190,17949,17950,17983,18009],{},[5193,17951,17954],{"icon":17952,"title":17953},"i-lucide-scatter-chart","📊 Scatter Plots",[5198,17955,17956,17962,17976],{},[5201,17957,17958,17961],{},[5299,17959,17960],{},"ax.scatter(x, y)"," — візуалізація залежності між двома змінними",[5201,17963,17964,17965],{},"Форма хмари точок показує тип кореляції:\n",[5198,17966,17967,17970,17973],{},[5201,17968,17969],{},"Вгору вправо → позитивна (r > 0)",[5201,17971,17972],{},"Вниз вправо → негативна (r \u003C 0)",[5201,17974,17975],{},"Хаос → немає лінійного зв'язку (r ≈ 0)",[5201,17977,17978,17979,17982],{},"Завжди ",[5224,17980,17981],{},"будуйте scatter перед обчисленням r","!",[5193,17984,17987],{"icon":17985,"title":17986},"i-lucide-alert-triangle","🎯 Кореляція vs Каузальність",[5198,17988,17989,17994,18000,18006],{},[5201,17990,17991,17993],{},[5224,17992,5232],{}," — це асоціація (A та B змінюються разом)",[5201,17995,17996,17999],{},[5224,17997,17998],{},"Каузальність"," — причинно-наслідковий зв'язок (A спричиняє B)",[5201,18001,18002,18003],{},"Scatter показує кореляцію, але ",[5224,18004,18005],{},"не доводить каузальність",[5201,18007,18008],{},"Завжди шукайте третю змінну (confounder)",[5193,18010,18012],{"icon":943,"title":18011},"🎨 Багатовимірна візуалізація",[5198,18013,18014,18020,18026,18029],{},[5201,18015,18016,18017,14416],{},"Третя змінна → колір точок (",[5299,18018,18019],{},"c=values, cmap=\"viridis\"",[5201,18021,18022,18023,14416],{},"Четверта змінна → розмір точок (",[5299,18024,18025],{},"s=sizes",[5201,18027,18028],{},"Scatter matrix → всі пари змінних одразу",[5201,18030,18031],{},"Кореляційна heatmap → компактна альтернатива",[6776,18033,18034,18039],{},[5255,18035,18036],{},[5224,18037,18038],{},"Чек-лист аналізу залежностей:",[5908,18040,18043,18052,18058,18064,18070,18076,18082,18088],{"className":18041},[18042],"contains-task-list",[5201,18044,18047,18051],{"className":18045},[18046],"task-list-item",[18048,18049],"input",{"disabled":5338,"type":18050},"checkbox"," Побудували scatter plot для пари змінних",[5201,18053,18055,18057],{"className":18054},[18046],[18048,18056],{"disabled":5338,"type":18050}," Визначили тип залежності (лінійна \u002F нелінійна \u002F немає)",[5201,18059,18061,18063],{"className":18060},[18046],[18048,18062],{"disabled":5338,"type":18050}," Обчислили коефіцієнт кореляції r",[5201,18065,18067,18069],{"className":18066},[18046],[18048,18068],{"disabled":5338,"type":18050}," Перевірили, чи r адекватно описує зв'язок (для нелінійних — ні!)",[5201,18071,18073,18075],{"className":18072},[18046],[18048,18074],{"disabled":5338,"type":18050}," Додали лінію тренду, якщо залежність лінійна",[5201,18077,18079,18081],{"className":18078},[18046],[18048,18080],{"disabled":5338,"type":18050}," Замислились: чи є каузальний зв'язок або лише асоціація?",[5201,18083,18085,18087],{"className":18084},[18046],[18048,18086],{"disabled":5338,"type":18050}," Шукали викиди (точки далеко від основної хмари)",[5201,18089,18091,18093],{"className":18090},[18046],[18048,18092],{"disabled":5338,"type":18050}," Якщо змінних багато — побудували scatter matrix",[5247,18095],{},[5255,18097,18098,12916,18101,18106,12916,18109],{},[5224,18099,18100],{},"Попередня підтема:",[18102,18103,18105],"a",{"href":18104},".\u002F02.distributions","Візуалізація розподілів",[5224,18107,18108],{},"Наступна підтема:",[18102,18110,3769],{"href":18111},".\u002F04.categorical",[18113,18114,18115],"style",{},"html pre.shiki code .s8xlr, html code.shiki .s8xlr{--shiki-light:#AF00DB;--shiki-default:#C586C0;--shiki-dark:#C586C0}html pre.shiki code .sHH4Y, html code.shiki .sHH4Y{--shiki-light:#000000;--shiki-default:#D4D4D4;--shiki-dark:#D4D4D4}html pre.shiki code .spJ8K, html code.shiki .spJ8K{--shiki-light:#008000;--shiki-default:#6A9955;--shiki-dark:#6A9955}html pre.shiki code .sJj4R, html code.shiki .sJj4R{--shiki-light:#098658;--shiki-default:#B5CEA8;--shiki-dark:#B5CEA8}html pre.shiki code .siwwj, html code.shiki .siwwj{--shiki-light:#001080;--shiki-default:#9CDCFE;--shiki-dark:#9CDCFE}html pre.shiki code .sbdoH, html code.shiki .sbdoH{--shiki-light:#A31515;--shiki-default:#CE9178;--shiki-dark:#CE9178}html pre.shiki code .su1O8, html code.shiki .su1O8{--shiki-light:#0000FF;--shiki-default:#569CD6;--shiki-dark:#569CD6}html .light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html.light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html.dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html pre.shiki code .se1LK, html code.shiki .se1LK{--shiki-light:#CD3131;--shiki-default:#F44747;--shiki-dark:#F44747}html pre.shiki code .s8Opu, html code.shiki .s8Opu{--shiki-light:#795E26;--shiki-default:#DCDCAA;--shiki-dark:#DCDCAA}html pre.shiki code .sjcCO, html code.shiki .sjcCO{--shiki-light:#EE0000;--shiki-default:#D7BA7D;--shiki-dark:#D7BA7D}html pre.shiki code .sN1BT, html code.shiki .sN1BT{--shiki-light:#267F99;--shiki-default:#4EC9B0;--shiki-dark:#4EC9B0}",{"title":5297,"searchDepth":5322,"depth":5322,"links":18117},[18118,18119,18120,18126,18127,18128,18132,18137,18138,18142,18143],{"id":5252,"depth":5322,"text":5253},{"id":5986,"depth":5322,"text":5987},{"id":6482,"depth":5322,"text":6483,"children":18121},[18122,18123,18124],{"id":6486,"depth":5335,"text":6487},{"id":6501,"depth":5335,"text":6502},{"id":6919,"depth":5335,"text":18125},"Повна сигнатура та анатомія параметрів ax.scatter()",{"id":8614,"depth":5322,"text":8615},{"id":9689,"depth":5322,"text":9690},{"id":10427,"depth":5322,"text":10428,"children":18129},[18130],{"id":11023,"depth":5335,"text":18131},"Математичний апарат трендів: сигнатура np.polyfit та вибір ступеня полінома",{"id":11857,"depth":5322,"text":11858,"children":18133},[18134,18135],{"id":12336,"depth":5335,"text":12337},{"id":12923,"depth":5335,"text":18136},"Повна сигнатура fig.colorbar() та мультивимірне кодування (Bubble Chart)",{"id":14395,"depth":5322,"text":14396},{"id":15508,"depth":5322,"text":15509,"children":18139},[18140],{"id":16058,"depth":5335,"text":18141},"Побудова кореляційної матриці засобами чистого Matplotlib: сигнатура ax.imshow()",{"id":17779,"depth":5322,"text":17780},{"id":17946,"depth":5322,"text":17947},"Точкові діаграми для виявлення кореляцій, візуалізація лінійних та нелінійних залежностей, regression lines, scatter matrices","md",null,{},{"title":3765,"description":18144},"EfBQfAZum6J0YOKBToE0QPJYrg2PdFcbg_fev2ewS0E",[18151,18153],{"title":3761,"path":3762,"stem":3763,"description":18152,"children":-1},"Гістограми для неперервних даних, правило вибору bins, box plots для виявлення викидів, violin plots для порівняння груп",{"title":3769,"path":3770,"stem":3771,"description":18154,"children":-1},"Стовпчасті діаграми для порівняння категорій, горизонтальні та вертикальні bar charts, групові та stacked bars, pie charts та коли їх уникати",1792055050507]