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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":3731,"body":5182,"description":10715,"extension":10716,"links":10717,"meta":10718,"navigation":5556,"path":3732,"seo":10719,"stem":3733,"__hash__":10720},"docs\u002F16.ai-python\u002F04.statistics-basics\u002F02.central-tendency.md",{"type":5183,"value":5184,"toc":10678},"minimark",[5185,5189,5257,5260,5265,5269,5272,5283,5290,5294,5297,5300,5306,5316,5329,5335,5344,5355,5357,5361,5369,5374,5390,5393,5396,5415,5492,5496,5818,5822,5829,6062,6072,6094,6098,6101,6116,6119,6124,6131,6133,6137,6144,6148,6154,6160,6166,6185,6188,6194,6201,6207,6272,6276,6608,6618,6643,6652,6654,6658,6669,6673,6676,6681,6684,6752,6758,6762,6765,7058,7062,7067,7070,7101,7105,7147,7264,7272,7276,7283,7435,7445,7449,7463,7488,7490,7494,7497,7658,7662,8100,8102,8106,8109,8913,8965,8967,8971,8975,8983,8988,8999,9004,9015,9019,9028,9032,9039,9149,9153,9164,9168,9174,9178,9186,9190,9206,9213,9215,9219,9222,9813,9822,9824,9828,9832,9989,9991,9995,10179,10181,10185,10277,10279,10283,10314,10324,10327,10340,10382,10404,10406,10408,10412,10617,10619,10623,10626,10629,10649,10656,10667,10674],[5186,5187,3731],"h1",{"id":5188},"міри-центральної-тенденції",[5190,5191,5192,5213],"card-group",{},[5193,5194,5197],"card",{"icon":5195,"title":5196},"i-lucide-target","🎯 Мета підтеми",[5198,5199,5200,5204,5207,5210],"ul",{},[5201,5202,5203],"li",{},"Зрозуміти, що таке «центр» даних і навіщо його шукати",[5201,5205,5206],{},"Навчитися обчислювати середнє, медіану та моду",[5201,5208,5209],{},"Розпізнавати ситуації, коли кожна міра є найкращою",[5201,5211,5212],{},"Побачити проблему аутлайерів та як медіана їх долає",[5193,5214,5216],{"icon":4618,"title":5215},"🔑 Ключові терміни",[5198,5217,5218,5230,5239,5248],{},[5201,5219,5220,5224,5225,5229],{},[5221,5222,5223],"strong",{},"Середнє арифметичне"," (",[5226,5227,5228],"em",{},"mean",") — сума всіх значень, поділена на їхню кількість",[5201,5231,5232,5224,5235,5238],{},[5221,5233,5234],{},"Медіана",[5226,5236,5237],{},"median",") — центральне значення у відсортованому наборі даних",[5201,5240,5241,5224,5244,5247],{},[5221,5242,5243],{},"Мода",[5226,5245,5246],{},"mode",") — найчастіше значення в даних",[5201,5249,5250,5224,5253,5256],{},[5221,5251,5252],{},"Аутлайер",[5226,5254,5255],{},"outlier",") — екстремальне значення, що сильно відхиляється від інших",[5258,5259],"hr",{},[5261,5262,5264],"h2",{"id":5263},"задача-яка-розкриває-правду-про-середні","Задача, яка розкриває правду про середні",[5266,5267,5268],"p",{},"Ви HR-менеджер у компанії. Керівництво запитує: «Яка типова зарплата наших працівників?» Треба дати одне число, яке найкраще описує рівень оплати.",[5266,5270,5271],{},"Відкриваємо дані про зарплати 10 співробітників (у тисячах гривень на місяць):",[5273,5274,5279],"pre",{"className":5275,"code":5277,"language":5278},[5276],"language-text","25, 30, 30, 32, 35, 35, 35, 40, 45, 200\n","text",[5280,5281,5277],"code",{"__ignoreMap":5282},"",[5266,5284,5285,5286,5289],{},"Ваш перший інстинкт — порахувати ",[5221,5287,5288],{},"середнє",":",[5291,5292],"math-formula",{"tex":5293},"\\text{Середнє} = \\frac{25 + 30 + 30 + 32 + 35 + 35 + 35 + 40 + 45 + 200}{10} = \\frac{507}{10} = 50.7 \\text{ тис. грн}",[5266,5295,5296],{},"Ви йдете до керівництва: «Типова зарплата — 50 700 грн».",[5266,5298,5299],{},"Але стоп. Подивімось на дані ще раз:",[5273,5301,5304],{"className":5302,"code":5303,"language":5278},[5276],"25, 30, 30, 32, 35, 35, 35, 40, 45,    200 ← директор\n└────────────────────────────┬─────────────┘\n        9 звичайних працівників\n",[5280,5305,5303],{"__ignoreMap":5282},[5266,5307,5308,5311,5312,5315],{},[5221,5309,5310],{},"Дев'ять"," працівників отримують від 25 до 45 тисяч (середнє серед них ~34 тис.). І ",[5221,5313,5314],{},"один"," директор отримує 200 тисяч.",[5266,5317,5318,5319,5322,5323,5224,5326,5328],{},"Чи є «50 700 грн» типовою зарплатою? ",[5221,5320,5321],{},"Ні."," Жоден звичайний співробітник не отримує близько цієї суми. Середнє спотворене одним екстремальним значенням — ",[5221,5324,5325],{},"аутлайером",[5226,5327,5255],{},").",[5330,5331,5332],"blockquote",{},[5266,5333,5334],{},"Аналогія: Якщо Ілон Маск зайде до кафе, де сидить 10 студентів, «середній статок відвідувача» раптом стане мільярдним. Але чи це правда про типового відвідувача? Звичайно, ні.",[5266,5336,5337],{},[5338,5339],"img",{"alt":5340,"className":5341,"src":5343},"Чому середнє оманливе: 9 співробітників + 1 директор (CEO)",[5342],"diagram-img","\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency\u002F02.png",[5266,5345,5346,5347,5350,5351,5354],{},"Тут потрібна інша міра центру — ",[5221,5348,5349],{},"медіана",". Вона не звертає уваги на екстремальні значення і показує, яка зарплата в ",[5221,5352,5353],{},"середині"," розподілу. Розберемо всі три міри детально.",[5258,5356],{},[5261,5358,5360],{"id":5359},"середнє-арифметичне-mean","Середнє арифметичне (Mean)",[5266,5362,5363,5224,5365,5368],{},[5221,5364,5223],{},[5226,5366,5367],{},"arithmetic mean",") — це сума всіх значень, поділена на їхню кількість. Найпоширеніша міра центральної тенденції.",[5370,5371,5373],"h3",{"id":5372},"формула","Формула",[5266,5375,5376,5377,5381,5382,5385,5386,5389],{},"Для набору значень ",[5291,5378],{"tex":5379,":inline":5380},"x_1, x_2, \\ldots, x_n","true"," середнє позначається символом ",[5291,5383],{"tex":5384,":inline":5380},"\\bar{x}"," (читається «ікс з рискою») або грецькою літерою ",[5291,5387],{"tex":5388,":inline":5380},"\\mu"," (мю):",[5291,5391],{"tex":5392},"\\bar{x} = \\frac{x_1 + x_2 + \\ldots + x_n}{n} = \\frac{1}{n} \\sum_{i=1}^{n} x_i",[5266,5394,5395],{},"Де:",[5198,5397,5398,5403,5409],{},[5201,5399,5400,5402],{},[5291,5401],{"tex":5384,":inline":5380}," — середнє значення",[5201,5404,5405,5408],{},[5291,5406],{"tex":5407,":inline":5380},"n"," — кількість спостережень",[5201,5410,5411,5414],{},[5291,5412],{"tex":5413,":inline":5380},"\\sum"," (велика сигма) — символ суми",[5416,5417,5418,5423],"note",{},[5266,5419,5420],{},[5221,5421,5422],{},"Анатомія формули вибіркового середнього:",[5424,5425,5426,5440,5456,5464,5476],"ol",{},[5201,5427,5428,5431,5432,5435,5436,5439],{},[5291,5429],{"tex":5430,":inline":5380},"x_i"," — ",[5221,5433,5434],{},"Елемент вибірки:"," конкретне окреме спостереження (наприклад, зарплата ",[5291,5437],{"tex":5438,":inline":5380},"i","-го співробітника або час обробки одного запиту).",[5201,5441,5442,5431,5445,5448,5449,5452,5453,5455],{},[5291,5443],{"tex":5444,":inline":5380},"\\sum_{i=1}^{n} x_i",[5221,5446,5447],{},"Акумулятор значень:"," цикл від ",[5291,5450],{"tex":5451,":inline":5380},"i=1"," до ",[5291,5454],{"tex":5407,":inline":5380},", що обчислює сумарний загальний пул усіх значень вибірки.",[5201,5457,5458,5431,5460,5463],{},[5291,5459],{"tex":5407,":inline":5380},[5221,5461,5462],{},"Обсяг вибірки (знаменник):"," загальна кількість спостережень, яка нормалізує загальну суму.",[5201,5465,5466,5431,5469,5472,5473,5475],{},[5291,5467],{"tex":5468,":inline":5380},"\\frac{1}{n}",[5221,5470,5471],{},"Операція усереднення:"," рівномірний розподіл накопиченого сумарного пулу порівну між усіма ",[5291,5474],{"tex":5407,":inline":5380}," спостереженнями.",[5201,5477,5478,5480,5481,5483,5484,5487,5488,5491],{},[5291,5479],{"tex":5384,":inline":5380}," (або ",[5291,5482],{"tex":5388,":inline":5380},") — ",[5221,5485,5486],{},"Точка рівноваги (центр маси):"," єдине числове значення, відхилення від якого в сумі дають нуль: ",[5291,5489],{"tex":5490,":inline":5380},"\\sum_{i=1}^{n} (x_i - \\bar{x}) = 0",".",[5370,5493,5495],{"id":5494},"обчислення-з-numpy-та-pandas","Обчислення з NumPy та pandas",[5497,5498,5501,5509],"jupyter-notebook",{"kernel":5499,"title":5500},"Python 3 (ipykernel)","mean_calculation.ipynb",[5502,5503,5505],"jupyter-cell",{"type":5504},"markdown",[5370,5506,5508],{"id":5507},"обчислення-середнього-різними-способами","Обчислення середнього різними способами",[5502,5510,5512,5809],{"execution-count":5511},"1",[5273,5513,5517],{"className":5514,"code":5515,"language":5516,"meta":5282,"style":5282},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import numpy as np\nimport pandas as pd\n\n# Дані про зарплати (в тисячах гривень)\nsalaries = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45, 200])\n\n# Спосіб 1: NumPy\nmean_numpy = np.mean(salaries)\nprint(f\"Середнє (NumPy): {mean_numpy:.1f} тис. грн\")\n\n# Спосіб 2: вбудований метод масиву\nmean_array = salaries.mean()\nprint(f\"Середнє (array): {mean_array:.1f} тис. грн\")\n\n# Спосіб 3: pandas Series\nsalaries_series = pd.Series(salaries)\nmean_pandas = salaries_series.mean()\nprint(f\"Середнє (pandas): {mean_pandas:.1f} тис. грн\")\n\n# Спосіб 4: вручну (для розуміння)\nmean_manual = sum(salaries) \u002F len(salaries)\nprint(f\"Середнє (вручну): {mean_manual:.1f} тис. грн\")\n","python",[5280,5518,5519,5538,5551,5558,5565,5621,5626,5632,5638,5671,5676,5682,5688,5711,5716,5722,5728,5734,5757,5762,5768,5786],{"__ignoreMap":5282},[5520,5521,5524,5528,5532,5535],"span",{"class":5522,"line":5523},"line",1,[5520,5525,5527],{"class":5526},"s8xlr","import",[5520,5529,5531],{"class":5530},"sHH4Y"," numpy ",[5520,5533,5534],{"class":5526},"as",[5520,5536,5537],{"class":5530}," np\n",[5520,5539,5541,5543,5546,5548],{"class":5522,"line":5540},2,[5520,5542,5527],{"class":5526},[5520,5544,5545],{"class":5530}," pandas ",[5520,5547,5534],{"class":5526},[5520,5549,5550],{"class":5530}," pd\n",[5520,5552,5554],{"class":5522,"line":5553},3,[5520,5555,5557],{"emptyLinePlaceholder":5556},true,"\n",[5520,5559,5561],{"class":5522,"line":5560},4,[5520,5562,5564],{"class":5563},"spJ8K","# Дані про зарплати (в тисячах гривень)\n",[5520,5566,5568,5571,5575,5578,5581,5583,5585,5587,5590,5592,5595,5597,5599,5601,5603,5605,5608,5610,5613,5615,5618],{"class":5522,"line":5567},5,[5520,5569,5570],{"class":5530},"salaries = np.array([",[5520,5572,5574],{"class":5573},"sJj4R","25",[5520,5576,5577],{"class":5530},", ",[5520,5579,5580],{"class":5573},"30",[5520,5582,5577],{"class":5530},[5520,5584,5580],{"class":5573},[5520,5586,5577],{"class":5530},[5520,5588,5589],{"class":5573},"32",[5520,5591,5577],{"class":5530},[5520,5593,5594],{"class":5573},"35",[5520,5596,5577],{"class":5530},[5520,5598,5594],{"class":5573},[5520,5600,5577],{"class":5530},[5520,5602,5594],{"class":5573},[5520,5604,5577],{"class":5530},[5520,5606,5607],{"class":5573},"40",[5520,5609,5577],{"class":5530},[5520,5611,5612],{"class":5573},"45",[5520,5614,5577],{"class":5530},[5520,5616,5617],{"class":5573},"200",[5520,5619,5620],{"class":5530},"])\n",[5520,5622,5624],{"class":5522,"line":5623},6,[5520,5625,5557],{"emptyLinePlaceholder":5556},[5520,5627,5629],{"class":5522,"line":5628},7,[5520,5630,5631],{"class":5563},"# Спосіб 1: NumPy\n",[5520,5633,5635],{"class":5522,"line":5634},8,[5520,5636,5637],{"class":5530},"mean_numpy = np.mean(salaries)\n",[5520,5639,5641,5645,5648,5652,5656,5659,5662,5665,5668],{"class":5522,"line":5640},9,[5520,5642,5644],{"class":5643},"s8Opu","print",[5520,5646,5647],{"class":5530},"(",[5520,5649,5651],{"class":5650},"su1O8","f",[5520,5653,5655],{"class":5654},"sbdoH","\"Середнє (NumPy): ",[5520,5657,5658],{"class":5650},"{",[5520,5660,5661],{"class":5530},"mean_numpy",[5520,5663,5664],{"class":5650},":.1f}",[5520,5666,5667],{"class":5654}," тис. грн\"",[5520,5669,5670],{"class":5530},")\n",[5520,5672,5674],{"class":5522,"line":5673},10,[5520,5675,5557],{"emptyLinePlaceholder":5556},[5520,5677,5679],{"class":5522,"line":5678},11,[5520,5680,5681],{"class":5563},"# Спосіб 2: вбудований метод масиву\n",[5520,5683,5685],{"class":5522,"line":5684},12,[5520,5686,5687],{"class":5530},"mean_array = salaries.mean()\n",[5520,5689,5691,5693,5695,5697,5700,5702,5705,5707,5709],{"class":5522,"line":5690},13,[5520,5692,5644],{"class":5643},[5520,5694,5647],{"class":5530},[5520,5696,5651],{"class":5650},[5520,5698,5699],{"class":5654},"\"Середнє (array): ",[5520,5701,5658],{"class":5650},[5520,5703,5704],{"class":5530},"mean_array",[5520,5706,5664],{"class":5650},[5520,5708,5667],{"class":5654},[5520,5710,5670],{"class":5530},[5520,5712,5714],{"class":5522,"line":5713},14,[5520,5715,5557],{"emptyLinePlaceholder":5556},[5520,5717,5719],{"class":5522,"line":5718},15,[5520,5720,5721],{"class":5563},"# Спосіб 3: pandas Series\n",[5520,5723,5725],{"class":5522,"line":5724},16,[5520,5726,5727],{"class":5530},"salaries_series = pd.Series(salaries)\n",[5520,5729,5731],{"class":5522,"line":5730},17,[5520,5732,5733],{"class":5530},"mean_pandas = salaries_series.mean()\n",[5520,5735,5737,5739,5741,5743,5746,5748,5751,5753,5755],{"class":5522,"line":5736},18,[5520,5738,5644],{"class":5643},[5520,5740,5647],{"class":5530},[5520,5742,5651],{"class":5650},[5520,5744,5745],{"class":5654},"\"Середнє (pandas): ",[5520,5747,5658],{"class":5650},[5520,5749,5750],{"class":5530},"mean_pandas",[5520,5752,5664],{"class":5650},[5520,5754,5667],{"class":5654},[5520,5756,5670],{"class":5530},[5520,5758,5760],{"class":5522,"line":5759},19,[5520,5761,5557],{"emptyLinePlaceholder":5556},[5520,5763,5765],{"class":5522,"line":5764},20,[5520,5766,5767],{"class":5563},"# Спосіб 4: вручну (для розуміння)\n",[5520,5769,5771,5774,5777,5780,5783],{"class":5522,"line":5770},21,[5520,5772,5773],{"class":5530},"mean_manual = ",[5520,5775,5776],{"class":5643},"sum",[5520,5778,5779],{"class":5530},"(salaries) \u002F ",[5520,5781,5782],{"class":5643},"len",[5520,5784,5785],{"class":5530},"(salaries)\n",[5520,5787,5789,5791,5793,5795,5798,5800,5803,5805,5807],{"class":5522,"line":5788},22,[5520,5790,5644],{"class":5643},[5520,5792,5647],{"class":5530},[5520,5794,5651],{"class":5650},[5520,5796,5797],{"class":5654},"\"Середнє (вручну): ",[5520,5799,5658],{"class":5650},[5520,5801,5802],{"class":5530},"mean_manual",[5520,5804,5664],{"class":5650},[5520,5806,5667],{"class":5654},[5520,5808,5670],{"class":5530},[5810,5811,5812],"template",{"v-slot:output":5282},[5273,5813,5816],{"className":5814,"code":5815,"language":5278},[5276],"Середнє (NumPy): 50.7 тис. грн\nСереднє (array): 50.7 тис. грн\nСереднє (pandas): 50.7 тис. грн\nСереднє (вручну): 50.7 тис. грн\n",[5280,5817,5815],{"__ignoreMap":5282},[5370,5819,5821],{"id":5820},"проблема-чутливість-до-аутлайерів","Проблема: чутливість до аутлайерів",[5266,5823,5824,5825,5828],{},"Середнє ",[5221,5826,5827],{},"дуже чутливе"," до екстремальних значень. Давайте видалимо директора і подивимось, що станеться:",[5497,5830,5832,5838],{"kernel":5499,"title":5831},"mean_sensitivity.ipynb",[5502,5833,5834],{"type":5504},[5370,5835,5837],{"id":5836},"вплив-аутлайера-на-середнє","Вплив аутлайера на середнє",[5502,5839,5840,6054],{"execution-count":5511},[5273,5841,5843],{"className":5514,"code":5842,"language":5516,"meta":5282,"style":5282},"import numpy as np\n\n# Зарплати з директором\nsalaries_with_director = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45, 200])\nmean_with = salaries_with_director.mean()\n\n# Зарплати без директора\nsalaries_without_director = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45])\nmean_without = salaries_without_director.mean()\n\nprint(f\"Середнє З директором:   {mean_with:.1f} тис. грн\")\nprint(f\"Середнє БЕЗ директора:  {mean_without:.1f} тис. грн\")\nprint(f\"Різниця:                {mean_with - mean_without:.1f} тис. грн ({(mean_with - mean_without) \u002F mean_without * 100:.0f}% зміна)\")\n",[5280,5844,5845,5855,5859,5864,5909,5914,5918,5923,5964,5969,5973,5995,6017],{"__ignoreMap":5282},[5520,5846,5847,5849,5851,5853],{"class":5522,"line":5523},[5520,5848,5527],{"class":5526},[5520,5850,5531],{"class":5530},[5520,5852,5534],{"class":5526},[5520,5854,5537],{"class":5530},[5520,5856,5857],{"class":5522,"line":5540},[5520,5858,5557],{"emptyLinePlaceholder":5556},[5520,5860,5861],{"class":5522,"line":5553},[5520,5862,5863],{"class":5563},"# Зарплати з директором\n",[5520,5865,5866,5869,5871,5873,5875,5877,5879,5881,5883,5885,5887,5889,5891,5893,5895,5897,5899,5901,5903,5905,5907],{"class":5522,"line":5560},[5520,5867,5868],{"class":5530},"salaries_with_director = np.array([",[5520,5870,5574],{"class":5573},[5520,5872,5577],{"class":5530},[5520,5874,5580],{"class":5573},[5520,5876,5577],{"class":5530},[5520,5878,5580],{"class":5573},[5520,5880,5577],{"class":5530},[5520,5882,5589],{"class":5573},[5520,5884,5577],{"class":5530},[5520,5886,5594],{"class":5573},[5520,5888,5577],{"class":5530},[5520,5890,5594],{"class":5573},[5520,5892,5577],{"class":5530},[5520,5894,5594],{"class":5573},[5520,5896,5577],{"class":5530},[5520,5898,5607],{"class":5573},[5520,5900,5577],{"class":5530},[5520,5902,5612],{"class":5573},[5520,5904,5577],{"class":5530},[5520,5906,5617],{"class":5573},[5520,5908,5620],{"class":5530},[5520,5910,5911],{"class":5522,"line":5567},[5520,5912,5913],{"class":5530},"mean_with = salaries_with_director.mean()\n",[5520,5915,5916],{"class":5522,"line":5623},[5520,5917,5557],{"emptyLinePlaceholder":5556},[5520,5919,5920],{"class":5522,"line":5628},[5520,5921,5922],{"class":5563},"# Зарплати без директора\n",[5520,5924,5925,5928,5930,5932,5934,5936,5938,5940,5942,5944,5946,5948,5950,5952,5954,5956,5958,5960,5962],{"class":5522,"line":5634},[5520,5926,5927],{"class":5530},"salaries_without_director = np.array([",[5520,5929,5574],{"class":5573},[5520,5931,5577],{"class":5530},[5520,5933,5580],{"class":5573},[5520,5935,5577],{"class":5530},[5520,5937,5580],{"class":5573},[5520,5939,5577],{"class":5530},[5520,5941,5589],{"class":5573},[5520,5943,5577],{"class":5530},[5520,5945,5594],{"class":5573},[5520,5947,5577],{"class":5530},[5520,5949,5594],{"class":5573},[5520,5951,5577],{"class":5530},[5520,5953,5594],{"class":5573},[5520,5955,5577],{"class":5530},[5520,5957,5607],{"class":5573},[5520,5959,5577],{"class":5530},[5520,5961,5612],{"class":5573},[5520,5963,5620],{"class":5530},[5520,5965,5966],{"class":5522,"line":5640},[5520,5967,5968],{"class":5530},"mean_without = salaries_without_director.mean()\n",[5520,5970,5971],{"class":5522,"line":5673},[5520,5972,5557],{"emptyLinePlaceholder":5556},[5520,5974,5975,5977,5979,5981,5984,5986,5989,5991,5993],{"class":5522,"line":5678},[5520,5976,5644],{"class":5643},[5520,5978,5647],{"class":5530},[5520,5980,5651],{"class":5650},[5520,5982,5983],{"class":5654},"\"Середнє З директором:   ",[5520,5985,5658],{"class":5650},[5520,5987,5988],{"class":5530},"mean_with",[5520,5990,5664],{"class":5650},[5520,5992,5667],{"class":5654},[5520,5994,5670],{"class":5530},[5520,5996,5997,5999,6001,6003,6006,6008,6011,6013,6015],{"class":5522,"line":5684},[5520,5998,5644],{"class":5643},[5520,6000,5647],{"class":5530},[5520,6002,5651],{"class":5650},[5520,6004,6005],{"class":5654},"\"Середнє БЕЗ директора:  ",[5520,6007,5658],{"class":5650},[5520,6009,6010],{"class":5530},"mean_without",[5520,6012,5664],{"class":5650},[5520,6014,5667],{"class":5654},[5520,6016,5670],{"class":5530},[5520,6018,6019,6021,6023,6025,6028,6030,6033,6035,6038,6040,6043,6046,6049,6052],{"class":5522,"line":5690},[5520,6020,5644],{"class":5643},[5520,6022,5647],{"class":5530},[5520,6024,5651],{"class":5650},[5520,6026,6027],{"class":5654},"\"Різниця:                ",[5520,6029,5658],{"class":5650},[5520,6031,6032],{"class":5530},"mean_with - mean_without",[5520,6034,5664],{"class":5650},[5520,6036,6037],{"class":5654}," тис. грн (",[5520,6039,5658],{"class":5650},[5520,6041,6042],{"class":5530},"(mean_with - mean_without) \u002F mean_without * ",[5520,6044,6045],{"class":5573},"100",[5520,6047,6048],{"class":5650},":.0f}",[5520,6050,6051],{"class":5654},"% зміна)\"",[5520,6053,5670],{"class":5530},[5810,6055,6056],{"v-slot:output":5282},[5273,6057,6060],{"className":6058,"code":6059,"language":5278},[5276],"Середнє З директором:   50.7 тис. грн\nСереднє БЕЗ директора:  34.1 тис. грн\nРізниця:                16.6 тис. грн (49% зміна)\n",[5280,6061,6059],{"__ignoreMap":5282},[5266,6063,6064,6067,6068,6071],{},[5221,6065,6066],{},"Одне екстремальне значення змінило середнє майже на 50%!"," Це робить середнє ",[5221,6069,6070],{},"ненадійною"," мірою центру для даних із аутлайерами.",[6073,6074,6075,6080,6091],"warning",{},[5266,6076,6077],{},[5221,6078,6079],{},"Коли НЕ використовувати середнє:",[5198,6081,6082,6085,6088],{},[5201,6083,6084],{},"Дані містять екстремальні значення (дуже високі або дуже низькі)",[5201,6086,6087],{},"Розподіл сильно асиметричний (скошений)",[5201,6089,6090],{},"Є викиди, які не представляють типову ситуацію",[5266,6092,6093],{},"Приклади: зарплати (CEO vs працівники), ціни на житло (елітне житло vs звичайне), час відповіді сервера (нормальні запити vs помилки).",[5370,6095,6097],{"id":6096},"коли-середнє-є-хорошим-вибором","Коли середнє є хорошим вибором",[5266,6099,6100],{},"Середнє працює чудово, коли:",[5198,6102,6103,6110,6113],{},[5201,6104,6105,6106,6109],{},"Дані ",[5221,6107,6108],{},"симетрично"," розподілені (дзвоноподібна крива)",[5201,6111,6112],{},"Немає значних аутлайерів",[5201,6114,6115],{},"Всі значення мають однакову «важливість»",[5266,6117,6118],{},"Приклади: зріст людей (приблизно нормальний розподіл), температура повітря, результати тестів у великій групі студентів.",[5330,6120,6121],{},[5266,6122,6123],{},"Аналогія: Середнє — це як «центр ваги» набору чисел. Якщо покласти всі числа на лінійку як вантажі, середнє — це точка, де лінійка збалансується. Але один дуже важкий вантаж (аутлайер) зсуне центр ваги далеко від «типової» зони.",[5266,6125,6126],{},[5338,6127],{"alt":6128,"className":6129,"src":6130},"Аналогія «Центр ваги»: як аутлайер зміщує середнє на важелі",[5342],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency\u002F03.png",[5258,6132],{},[5261,6134,6136],{"id":6135},"медіана-median","Медіана (Median)",[5266,6138,6139,5224,6141,6143],{},[5221,6140,5234],{},[5226,6142,5237],{},") — це значення, яке розділяє відсортований набір даних навпіл: 50% значень менші за медіану, 50% — більші.",[5370,6145,6147],{"id":6146},"як-обчислити-медіану-вручну","Як обчислити медіану вручну",[5266,6149,6150,6153],{},[5221,6151,6152],{},"Крок 1:"," Відсортуйте дані від найменшого до найбільшого",[5273,6155,6158],{"className":6156,"code":6157,"language":5278},[5276],"Несортовані: 25, 30, 30, 32, 35, 35, 35, 40, 45, 200\nВідсортовані: 25, 30, 30, 32, 35, 35, 35, 40, 45, 200\n",[5280,6159,6157],{"__ignoreMap":5282},[5266,6161,6162,6165],{},[5221,6163,6164],{},"Крок 2:"," Знайдіть центральне значення",[5198,6167,6168,6175],{},[5201,6169,6170,6171,6174],{},"Якщо кількість значень ",[5221,6172,6173],{},"непарна"," (наприклад, 9), медіана — це середній елемент (5-й з 9)",[5201,6176,6177,6178,6181,6182,6184],{},"Якщо ",[5221,6179,6180],{},"парна"," (наприклад, 10), медіана — це ",[5221,6183,5288],{}," двох центральних елементів (5-го і 6-го з 10)",[5266,6186,6187],{},"У нашому випадку 10 значень (парна кількість):",[5273,6189,6192],{"className":6190,"code":6191,"language":5278},[5276],"25, 30, 30, 32,   35, 35,   35, 40, 45, 200\n               └─────┬─────┘\n                5-й   6-й\n",[5280,6193,6191],{"__ignoreMap":5282},[5266,6195,6196,6197,6200],{},"Медіана = ",[5291,6198],{"tex":6199,":inline":5380},"\\frac{35 + 35}{2} = 35"," тис. грн",[5266,6202,6203,6206],{},[5221,6204,6205],{},"Бачите різницю?"," Середнє = 50.7 тис., медіана = 35 тис. Медіана набагато краще відображає «типову» зарплату!",[5416,6208,6209,6214,6217,6261],{},[5266,6210,6211],{},[5221,6212,6213],{},"Інженерна аналогія: Average Response Time проти p50 \u002F p99 у веб-сервісах",[5266,6215,6216],{},"У веб-розробці, DevOps та Site Reliability Engineering (SRE) інженери стикаються з цією дилемою під час аналізу телеметрії серверів:",[5198,6218,6219,6238,6251],{},[5201,6220,6221,6222,6225,6226,6229,6230,6233,6234,6237],{},"Припустимо, 99 клієнтських HTTP-запитів оброблено бекендом за швидкі ",[5221,6223,6224],{},"10 мс",", а в одного клієнта стався таймаут бази даних на ",[5221,6227,6228],{},"10 000 мс",".\nОбчислимо середній час відповіді (",[5226,6231,6232],{},"Average Latency","):\n",[5291,6235,6236],{},"\\text{Mean} = \\frac{99 \\times 10 + 1 \\times 10000}{100} = 109.9 \\text{ мс}","\nДивлячись лише на середнє арифметичне (109.9 мс), команда вирішить, що сервіс масово деградує у 10 разів понад допустимий ліміт.",[5201,6239,6240,6241,6243,6244,6247,6248,6250],{},"Проте ",[5221,6242,5349],{}," (50-й перцентиль, ",[5291,6245],{"tex":6246,":inline":5380},"p50",") дорівнює ",[5221,6249,6224],{},". Вона чесно повідомляє, що для абсолютної більшості користувачів сервіс працює ідеально.",[5201,6252,6253,6254,5224,6257,6260],{},"А для виявлення поодиноких критичних зависань інженери дивляться не на середнє, а на ",[5221,6255,6256],{},"99-й перцентиль",[5291,6258],{"tex":6259,":inline":5380},"p99"," = 10 000 мс).",[5266,6262,6263,6264,6267,6268,6271],{},"Саме тому в контрактах на рівень обслуговування (SLA) завжди фіксують вимоги до ",[5221,6265,6266],{},"медіани (p50)"," та ",[5221,6269,6270],{},"хвостових затримок (p95, p99)",", а не до оманливого середнього арифметичного.",[5370,6273,6275],{"id":6274},"обчислення-медіани-з-numpy-та-pandas","Обчислення медіани з NumPy та pandas",[5497,6277,6279,6285,6448],{"kernel":5499,"title":6278},"median_calculation.ipynb",[5502,6280,6281],{"type":5504},[5370,6282,6284],{"id":6283},"медіана-стійка-до-аутлайерів","Медіана стійка до аутлайерів",[5502,6286,6287,6440],{"execution-count":5511},[5273,6288,6290],{"className":5514,"code":6289,"language":5516,"meta":5282,"style":5282},"import numpy as np\n\nsalaries = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45, 200])\n\n# Обчислення медіани\nmedian = np.median(salaries)\nmean = np.mean(salaries)\n\nprint(f\"Медіана: {median:.1f} тис. грн\")\nprint(f\"Середнє: {mean:.1f} тис. грн\")\nprint(f\"Різниця: {abs(mean - median):.1f} тис. грн\")\n",[5280,6291,6292,6302,6306,6350,6354,6359,6364,6369,6373,6394,6415],{"__ignoreMap":5282},[5520,6293,6294,6296,6298,6300],{"class":5522,"line":5523},[5520,6295,5527],{"class":5526},[5520,6297,5531],{"class":5530},[5520,6299,5534],{"class":5526},[5520,6301,5537],{"class":5530},[5520,6303,6304],{"class":5522,"line":5540},[5520,6305,5557],{"emptyLinePlaceholder":5556},[5520,6307,6308,6310,6312,6314,6316,6318,6320,6322,6324,6326,6328,6330,6332,6334,6336,6338,6340,6342,6344,6346,6348],{"class":5522,"line":5553},[5520,6309,5570],{"class":5530},[5520,6311,5574],{"class":5573},[5520,6313,5577],{"class":5530},[5520,6315,5580],{"class":5573},[5520,6317,5577],{"class":5530},[5520,6319,5580],{"class":5573},[5520,6321,5577],{"class":5530},[5520,6323,5589],{"class":5573},[5520,6325,5577],{"class":5530},[5520,6327,5594],{"class":5573},[5520,6329,5577],{"class":5530},[5520,6331,5594],{"class":5573},[5520,6333,5577],{"class":5530},[5520,6335,5594],{"class":5573},[5520,6337,5577],{"class":5530},[5520,6339,5607],{"class":5573},[5520,6341,5577],{"class":5530},[5520,6343,5612],{"class":5573},[5520,6345,5577],{"class":5530},[5520,6347,5617],{"class":5573},[5520,6349,5620],{"class":5530},[5520,6351,6352],{"class":5522,"line":5560},[5520,6353,5557],{"emptyLinePlaceholder":5556},[5520,6355,6356],{"class":5522,"line":5567},[5520,6357,6358],{"class":5563},"# Обчислення медіани\n",[5520,6360,6361],{"class":5522,"line":5623},[5520,6362,6363],{"class":5530},"median = np.median(salaries)\n",[5520,6365,6366],{"class":5522,"line":5628},[5520,6367,6368],{"class":5530},"mean = np.mean(salaries)\n",[5520,6370,6371],{"class":5522,"line":5634},[5520,6372,5557],{"emptyLinePlaceholder":5556},[5520,6374,6375,6377,6379,6381,6384,6386,6388,6390,6392],{"class":5522,"line":5640},[5520,6376,5644],{"class":5643},[5520,6378,5647],{"class":5530},[5520,6380,5651],{"class":5650},[5520,6382,6383],{"class":5654},"\"Медіана: ",[5520,6385,5658],{"class":5650},[5520,6387,5237],{"class":5530},[5520,6389,5664],{"class":5650},[5520,6391,5667],{"class":5654},[5520,6393,5670],{"class":5530},[5520,6395,6396,6398,6400,6402,6405,6407,6409,6411,6413],{"class":5522,"line":5673},[5520,6397,5644],{"class":5643},[5520,6399,5647],{"class":5530},[5520,6401,5651],{"class":5650},[5520,6403,6404],{"class":5654},"\"Середнє: ",[5520,6406,5658],{"class":5650},[5520,6408,5228],{"class":5530},[5520,6410,5664],{"class":5650},[5520,6412,5667],{"class":5654},[5520,6414,5670],{"class":5530},[5520,6416,6417,6419,6421,6423,6426,6428,6431,6434,6436,6438],{"class":5522,"line":5678},[5520,6418,5644],{"class":5643},[5520,6420,5647],{"class":5530},[5520,6422,5651],{"class":5650},[5520,6424,6425],{"class":5654},"\"Різниця: ",[5520,6427,5658],{"class":5650},[5520,6429,6430],{"class":5643},"abs",[5520,6432,6433],{"class":5530},"(mean - median)",[5520,6435,5664],{"class":5650},[5520,6437,5667],{"class":5654},[5520,6439,5670],{"class":5530},[5810,6441,6442],{"v-slot:output":5282},[5273,6443,6446],{"className":6444,"code":6445,"language":5278},[5276],"Медіана: 35.0 тис. грн\nСереднє: 50.7 тис. грн\nРізниця: 15.7 тис. грн\n",[5280,6447,6445],{"__ignoreMap":5282},[5502,6449,6451,6600],{"execution-count":6450},"2",[5273,6452,6454],{"className":5514,"code":6453,"language":5516,"meta":5282,"style":5282},"# А тепер видалимо директора\nsalaries_no_outlier = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45])\n\nmedian_no = np.median(salaries_no_outlier)\nmean_no = np.mean(salaries_no_outlier)\n\nprint(\"Без директора:\")\nprint(f\"  Медіана: {median_no:.1f} тис. грн (змінилась на {abs(median - median_no):.1f})\")\nprint(f\"  Середнє: {mean_no:.1f} тис. грн (змінилось на {abs(mean - mean_no):.1f})\")\n",[5280,6455,6456,6461,6502,6506,6511,6516,6520,6531,6566],{"__ignoreMap":5282},[5520,6457,6458],{"class":5522,"line":5523},[5520,6459,6460],{"class":5563},"# А тепер видалимо директора\n",[5520,6462,6463,6466,6468,6470,6472,6474,6476,6478,6480,6482,6484,6486,6488,6490,6492,6494,6496,6498,6500],{"class":5522,"line":5540},[5520,6464,6465],{"class":5530},"salaries_no_outlier = np.array([",[5520,6467,5574],{"class":5573},[5520,6469,5577],{"class":5530},[5520,6471,5580],{"class":5573},[5520,6473,5577],{"class":5530},[5520,6475,5580],{"class":5573},[5520,6477,5577],{"class":5530},[5520,6479,5589],{"class":5573},[5520,6481,5577],{"class":5530},[5520,6483,5594],{"class":5573},[5520,6485,5577],{"class":5530},[5520,6487,5594],{"class":5573},[5520,6489,5577],{"class":5530},[5520,6491,5594],{"class":5573},[5520,6493,5577],{"class":5530},[5520,6495,5607],{"class":5573},[5520,6497,5577],{"class":5530},[5520,6499,5612],{"class":5573},[5520,6501,5620],{"class":5530},[5520,6503,6504],{"class":5522,"line":5553},[5520,6505,5557],{"emptyLinePlaceholder":5556},[5520,6507,6508],{"class":5522,"line":5560},[5520,6509,6510],{"class":5530},"median_no = np.median(salaries_no_outlier)\n",[5520,6512,6513],{"class":5522,"line":5567},[5520,6514,6515],{"class":5530},"mean_no = np.mean(salaries_no_outlier)\n",[5520,6517,6518],{"class":5522,"line":5623},[5520,6519,5557],{"emptyLinePlaceholder":5556},[5520,6521,6522,6524,6526,6529],{"class":5522,"line":5628},[5520,6523,5644],{"class":5643},[5520,6525,5647],{"class":5530},[5520,6527,6528],{"class":5654},"\"Без директора:\"",[5520,6530,5670],{"class":5530},[5520,6532,6533,6535,6537,6539,6542,6544,6547,6549,6552,6554,6556,6559,6561,6564],{"class":5522,"line":5634},[5520,6534,5644],{"class":5643},[5520,6536,5647],{"class":5530},[5520,6538,5651],{"class":5650},[5520,6540,6541],{"class":5654},"\"  Медіана: ",[5520,6543,5658],{"class":5650},[5520,6545,6546],{"class":5530},"median_no",[5520,6548,5664],{"class":5650},[5520,6550,6551],{"class":5654}," тис. грн (змінилась на ",[5520,6553,5658],{"class":5650},[5520,6555,6430],{"class":5643},[5520,6557,6558],{"class":5530},"(median - median_no)",[5520,6560,5664],{"class":5650},[5520,6562,6563],{"class":5654},")\"",[5520,6565,5670],{"class":5530},[5520,6567,6568,6570,6572,6574,6577,6579,6582,6584,6587,6589,6591,6594,6596,6598],{"class":5522,"line":5640},[5520,6569,5644],{"class":5643},[5520,6571,5647],{"class":5530},[5520,6573,5651],{"class":5650},[5520,6575,6576],{"class":5654},"\"  Середнє: ",[5520,6578,5658],{"class":5650},[5520,6580,6581],{"class":5530},"mean_no",[5520,6583,5664],{"class":5650},[5520,6585,6586],{"class":5654}," тис. грн (змінилось на ",[5520,6588,5658],{"class":5650},[5520,6590,6430],{"class":5643},[5520,6592,6593],{"class":5530},"(mean - mean_no)",[5520,6595,5664],{"class":5650},[5520,6597,6563],{"class":5654},[5520,6599,5670],{"class":5530},[5810,6601,6602],{"v-slot:output":5282},[5273,6603,6606],{"className":6604,"code":6605,"language":5278},[5276],"Без директора:\n  Медіана: 35.0 тис. грн (змінилась на 0.0)\n  Середнє: 34.1 тис. грн (змінилось на 16.6)\n",[5280,6607,6605],{"__ignoreMap":5282},[5266,6609,6610,6613,6614,6617],{},[5221,6611,6612],{},"Медіана не змінилась взагалі!"," Вона ",[5221,6615,6616],{},"імунна"," до аутлайерів. Це її найбільша перевага.",[6619,6620,6621,6626,6640],"tip",{},[5266,6622,6623],{},[5221,6624,6625],{},"Коли використовувати медіану:",[5198,6627,6628,6631,6634,6637],{},[5201,6629,6630],{},"✅ Дані містять аутлайери або екстремальні значення",[5201,6632,6633],{},"✅ Розподіл асиметричний (скошений вліво або вправо)",[5201,6635,6636],{},"✅ Потрібна «типова» величина, а не математичний центр ваги",[5201,6638,6639],{},"✅ Категоріальні дані з природним порядком (наприклад, рейтинги: «погано», «нормально», «добре»)",[5266,6641,6642],{},"Приклади застосування: зарплати, ціни на нерухомість, час відгуку сервера, доходи населення.",[5330,6644,6645],{},[5266,6646,6647,6648,6651],{},"Аналогія: Уявіть, що 11 людей стоять у шерензі за зростом. Медіана — це просто ",[5221,6649,6650],{},"середня людина"," у цій шерензі (6-та з 11). Не має значення, наскільки високий найвищий або низький найнижчий — середня людина залишається на своєму місці.",[5258,6653],{},[5261,6655,6657],{"id":6656},"мода-mode","Мода (Mode)",[5266,6659,6660,5224,6662,6664,6665,6668],{},[5221,6661,5243],{},[5226,6663,5246],{},") — це значення, яке ",[5221,6666,6667],{},"зустрічається найчастіше"," в наборі даних.",[5370,6670,6672],{"id":6671},"приклад-пошук-моди","Приклад: пошук моди",[5266,6674,6675],{},"Повернемось до наших зарплат:",[5273,6677,6679],{"className":6678,"code":5277,"language":5278},[5276],[5280,6680,5277],{"__ignoreMap":5282},[5266,6682,6683],{},"Підрахуємо частоту кожного значення:",[6685,6686,6687,6701],"table",{},[6688,6689,6690],"thead",{},[6691,6692,6693,6698],"tr",{},[6694,6695,6697],"th",{"align":6696},"center","Зарплата (тис.)",[6694,6699,6700],{"align":6696},"Кількість разів",[6702,6703,6704,6711,6717,6723,6734,6740,6746],"tbody",{},[6691,6705,6706,6709],{},[6707,6708,5574],"td",{"align":6696},[6707,6710,5511],{"align":6696},[6691,6712,6713,6715],{},[6707,6714,5580],{"align":6696},[6707,6716,6450],{"align":6696},[6691,6718,6719,6721],{},[6707,6720,5589],{"align":6696},[6707,6722,5511],{"align":6696},[6691,6724,6725,6729],{},[6707,6726,6727],{"align":6696},[5221,6728,5594],{},[6707,6730,6731],{"align":6696},[5221,6732,6733],{},"3",[6691,6735,6736,6738],{},[6707,6737,5607],{"align":6696},[6707,6739,5511],{"align":6696},[6691,6741,6742,6744],{},[6707,6743,5612],{"align":6696},[6707,6745,5511],{"align":6696},[6691,6747,6748,6750],{},[6707,6749,5617],{"align":6696},[6707,6751,5511],{"align":6696},[5266,6753,6754,6757],{},[5221,6755,6756],{},"Мода = 35 тис. грн"," (зустрічається 3 рази — частіше за інші).",[5370,6759,6761],{"id":6760},"обчислення-моди-з-pandas","Обчислення моди з pandas",[5266,6763,6764],{},"NumPy не має вбудованої функції для моди (вона була, але deprecated). Використовуйте pandas або scipy:",[5497,6766,6768,6774,6951],{"kernel":5499,"title":6767},"mode_calculation.ipynb",[5502,6769,6770],{"type":5504},[5370,6771,6773],{"id":6772},"обчислення-моди","Обчислення моди",[5502,6775,6776,6943],{"execution-count":5511},[5273,6777,6779],{"className":5514,"code":6778,"language":5516,"meta":5282,"style":5282},"import pandas as pd\nimport numpy as np\n\nsalaries = np.array([25, 30, 30, 32, 35, 35, 35, 40, 45, 200])\n\n# Pandas Series має метод mode()\nsalaries_series = pd.Series(salaries)\nmode = salaries_series.mode()[0]  # може бути кілька мод, беремо першу\n\nprint(f\"Мода: {mode:.1f} тис. грн\")\nprint(f\"Медіана: {np.median(salaries):.1f} тис. грн\")\nprint(f\"Середнє: {np.mean(salaries):.1f} тис. грн\")\n",[5280,6780,6781,6791,6801,6805,6849,6853,6858,6862,6876,6880,6901,6922],{"__ignoreMap":5282},[5520,6782,6783,6785,6787,6789],{"class":5522,"line":5523},[5520,6784,5527],{"class":5526},[5520,6786,5545],{"class":5530},[5520,6788,5534],{"class":5526},[5520,6790,5550],{"class":5530},[5520,6792,6793,6795,6797,6799],{"class":5522,"line":5540},[5520,6794,5527],{"class":5526},[5520,6796,5531],{"class":5530},[5520,6798,5534],{"class":5526},[5520,6800,5537],{"class":5530},[5520,6802,6803],{"class":5522,"line":5553},[5520,6804,5557],{"emptyLinePlaceholder":5556},[5520,6806,6807,6809,6811,6813,6815,6817,6819,6821,6823,6825,6827,6829,6831,6833,6835,6837,6839,6841,6843,6845,6847],{"class":5522,"line":5560},[5520,6808,5570],{"class":5530},[5520,6810,5574],{"class":5573},[5520,6812,5577],{"class":5530},[5520,6814,5580],{"class":5573},[5520,6816,5577],{"class":5530},[5520,6818,5580],{"class":5573},[5520,6820,5577],{"class":5530},[5520,6822,5589],{"class":5573},[5520,6824,5577],{"class":5530},[5520,6826,5594],{"class":5573},[5520,6828,5577],{"class":5530},[5520,6830,5594],{"class":5573},[5520,6832,5577],{"class":5530},[5520,6834,5594],{"class":5573},[5520,6836,5577],{"class":5530},[5520,6838,5607],{"class":5573},[5520,6840,5577],{"class":5530},[5520,6842,5612],{"class":5573},[5520,6844,5577],{"class":5530},[5520,6846,5617],{"class":5573},[5520,6848,5620],{"class":5530},[5520,6850,6851],{"class":5522,"line":5567},[5520,6852,5557],{"emptyLinePlaceholder":5556},[5520,6854,6855],{"class":5522,"line":5623},[5520,6856,6857],{"class":5563},"# Pandas Series має метод mode()\n",[5520,6859,6860],{"class":5522,"line":5628},[5520,6861,5727],{"class":5530},[5520,6863,6864,6867,6870,6873],{"class":5522,"line":5634},[5520,6865,6866],{"class":5530},"mode = salaries_series.mode()[",[5520,6868,6869],{"class":5573},"0",[5520,6871,6872],{"class":5530},"]  ",[5520,6874,6875],{"class":5563},"# може бути кілька мод, беремо першу\n",[5520,6877,6878],{"class":5522,"line":5640},[5520,6879,5557],{"emptyLinePlaceholder":5556},[5520,6881,6882,6884,6886,6888,6891,6893,6895,6897,6899],{"class":5522,"line":5673},[5520,6883,5644],{"class":5643},[5520,6885,5647],{"class":5530},[5520,6887,5651],{"class":5650},[5520,6889,6890],{"class":5654},"\"Мода: ",[5520,6892,5658],{"class":5650},[5520,6894,5246],{"class":5530},[5520,6896,5664],{"class":5650},[5520,6898,5667],{"class":5654},[5520,6900,5670],{"class":5530},[5520,6902,6903,6905,6907,6909,6911,6913,6916,6918,6920],{"class":5522,"line":5678},[5520,6904,5644],{"class":5643},[5520,6906,5647],{"class":5530},[5520,6908,5651],{"class":5650},[5520,6910,6383],{"class":5654},[5520,6912,5658],{"class":5650},[5520,6914,6915],{"class":5530},"np.median(salaries)",[5520,6917,5664],{"class":5650},[5520,6919,5667],{"class":5654},[5520,6921,5670],{"class":5530},[5520,6923,6924,6926,6928,6930,6932,6934,6937,6939,6941],{"class":5522,"line":5684},[5520,6925,5644],{"class":5643},[5520,6927,5647],{"class":5530},[5520,6929,5651],{"class":5650},[5520,6931,6404],{"class":5654},[5520,6933,5658],{"class":5650},[5520,6935,6936],{"class":5530},"np.mean(salaries)",[5520,6938,5664],{"class":5650},[5520,6940,5667],{"class":5654},[5520,6942,5670],{"class":5530},[5810,6944,6945],{"v-slot:output":5282},[5273,6946,6949],{"className":6947,"code":6948,"language":5278},[5276],"Мода: 35.0 тис. грн\nМедіана: 35.0 тис. грн\nСереднє: 50.7 тис. грн\n",[5280,6950,6948],{"__ignoreMap":5282},[5502,6952,6953,7050],{"execution-count":6450},[5273,6954,6956],{"className":5514,"code":6955,"language":5516,"meta":5282,"style":5282},"# Альтернативний спосіб: через scipy\nfrom scipy import stats\n\nmode_scipy = stats.mode(salaries, keepdims=False)\nprint(f\"\\nМода (scipy): {mode_scipy.mode:.1f} тис. грн\")\nprint(f\"Частота: {mode_scipy.count} рази\")\n",[5280,6957,6958,6963,6976,6980,6997,7026],{"__ignoreMap":5282},[5520,6959,6960],{"class":5522,"line":5523},[5520,6961,6962],{"class":5563},"# Альтернативний спосіб: через scipy\n",[5520,6964,6965,6968,6971,6973],{"class":5522,"line":5540},[5520,6966,6967],{"class":5526},"from",[5520,6969,6970],{"class":5530}," scipy ",[5520,6972,5527],{"class":5526},[5520,6974,6975],{"class":5530}," stats\n",[5520,6977,6978],{"class":5522,"line":5553},[5520,6979,5557],{"emptyLinePlaceholder":5556},[5520,6981,6982,6985,6989,6992,6995],{"class":5522,"line":5560},[5520,6983,6984],{"class":5530},"mode_scipy = stats.mode(salaries, ",[5520,6986,6988],{"class":6987},"siwwj","keepdims",[5520,6990,6991],{"class":5530},"=",[5520,6993,6994],{"class":5650},"False",[5520,6996,5670],{"class":5530},[5520,6998,6999,7001,7003,7005,7008,7012,7015,7017,7020,7022,7024],{"class":5522,"line":5567},[5520,7000,5644],{"class":5643},[5520,7002,5647],{"class":5530},[5520,7004,5651],{"class":5650},[5520,7006,7007],{"class":5654},"\"",[5520,7009,7011],{"class":7010},"sjcCO","\\n",[5520,7013,7014],{"class":5654},"Мода (scipy): ",[5520,7016,5658],{"class":5650},[5520,7018,7019],{"class":5530},"mode_scipy.mode",[5520,7021,5664],{"class":5650},[5520,7023,5667],{"class":5654},[5520,7025,5670],{"class":5530},[5520,7027,7028,7030,7032,7034,7037,7039,7042,7045,7048],{"class":5522,"line":5623},[5520,7029,5644],{"class":5643},[5520,7031,5647],{"class":5530},[5520,7033,5651],{"class":5650},[5520,7035,7036],{"class":5654},"\"Частота: ",[5520,7038,5658],{"class":5650},[5520,7040,7041],{"class":5530},"mode_scipy.count",[5520,7043,7044],{"class":5650},"}",[5520,7046,7047],{"class":5654}," рази\"",[5520,7049,5670],{"class":5530},[5810,7051,7052],{"v-slot:output":5282},[5273,7053,7056],{"className":7054,"code":7055,"language":5278},[5276],"Мода (scipy): 35.0 тис. грн\nЧастота: 3 рази\n",[5280,7057,7055],{"__ignoreMap":5282},[5370,7059,7061],{"id":7060},"особливості-моди","Особливості моди",[7063,7064,7066],"h4",{"id":7065},"_1-може-не-існувати","1. Може не існувати",[5266,7068,7069],{},"Якщо всі значення зустрічаються однакову кількість разів, моди немає:",[5273,7071,7073],{"className":5514,"code":7072,"language":5516,"meta":5282,"style":5282},"data = [10, 20, 30, 40]  # Кожне значення 1 раз — моди немає\n",[5280,7074,7075],{"__ignoreMap":5282},[5520,7076,7077,7080,7083,7085,7088,7090,7092,7094,7096,7098],{"class":5522,"line":5523},[5520,7078,7079],{"class":5530},"data = [",[5520,7081,7082],{"class":5573},"10",[5520,7084,5577],{"class":5530},[5520,7086,7087],{"class":5573},"20",[5520,7089,5577],{"class":5530},[5520,7091,5580],{"class":5573},[5520,7093,5577],{"class":5530},[5520,7095,5607],{"class":5573},[5520,7097,6872],{"class":5530},[5520,7099,7100],{"class":5563},"# Кожне значення 1 раз — моди немає\n",[7063,7102,7104],{"id":7103},"_2-може-бути-кілька-мод-бімодальний-або-мультимодальний-розподіл","2. Може бути кілька мод (бімодальний або мультимодальний розподіл)",[5273,7106,7108],{"className":5514,"code":7107,"language":5516,"meta":5282,"style":5282},"data = [1, 2, 2, 3, 4, 4, 5]  # Дві моди: 2 і 4 (обидві по 2 рази)\n",[5280,7109,7110],{"__ignoreMap":5282},[5520,7111,7112,7114,7116,7118,7120,7122,7124,7126,7128,7130,7133,7135,7137,7139,7142,7144],{"class":5522,"line":5523},[5520,7113,7079],{"class":5530},[5520,7115,5511],{"class":5573},[5520,7117,5577],{"class":5530},[5520,7119,6450],{"class":5573},[5520,7121,5577],{"class":5530},[5520,7123,6450],{"class":5573},[5520,7125,5577],{"class":5530},[5520,7127,6733],{"class":5573},[5520,7129,5577],{"class":5530},[5520,7131,7132],{"class":5573},"4",[5520,7134,5577],{"class":5530},[5520,7136,7132],{"class":5573},[5520,7138,5577],{"class":5530},[5520,7140,7141],{"class":5573},"5",[5520,7143,6872],{"class":5530},[5520,7145,7146],{"class":5563},"# Дві моди: 2 і 4 (обидві по 2 рази)\n",[5497,7148,7150],{"kernel":5499,"title":7149},"bimodal_example.ipynb",[5502,7151,7152,7256],{"execution-count":5511},[5273,7153,7155],{"className":5514,"code":7154,"language":5516,"meta":5282,"style":5282},"import pandas as pd\n\n# Бімодальний розподіл: дві піки\ndata = pd.Series([1, 2, 2, 2, 5, 6, 6, 6, 9])\nmodes = data.mode()\n\nprint(\"Моди:\", modes.values)\nprint(\"Кількість мод:\", len(modes))\n",[5280,7156,7157,7167,7171,7176,7219,7224,7228,7240],{"__ignoreMap":5282},[5520,7158,7159,7161,7163,7165],{"class":5522,"line":5523},[5520,7160,5527],{"class":5526},[5520,7162,5545],{"class":5530},[5520,7164,5534],{"class":5526},[5520,7166,5550],{"class":5530},[5520,7168,7169],{"class":5522,"line":5540},[5520,7170,5557],{"emptyLinePlaceholder":5556},[5520,7172,7173],{"class":5522,"line":5553},[5520,7174,7175],{"class":5563},"# Бімодальний розподіл: дві піки\n",[5520,7177,7178,7181,7183,7185,7187,7189,7191,7193,7195,7197,7199,7201,7204,7206,7208,7210,7212,7214,7217],{"class":5522,"line":5560},[5520,7179,7180],{"class":5530},"data = pd.Series([",[5520,7182,5511],{"class":5573},[5520,7184,5577],{"class":5530},[5520,7186,6450],{"class":5573},[5520,7188,5577],{"class":5530},[5520,7190,6450],{"class":5573},[5520,7192,5577],{"class":5530},[5520,7194,6450],{"class":5573},[5520,7196,5577],{"class":5530},[5520,7198,7141],{"class":5573},[5520,7200,5577],{"class":5530},[5520,7202,7203],{"class":5573},"6",[5520,7205,5577],{"class":5530},[5520,7207,7203],{"class":5573},[5520,7209,5577],{"class":5530},[5520,7211,7203],{"class":5573},[5520,7213,5577],{"class":5530},[5520,7215,7216],{"class":5573},"9",[5520,7218,5620],{"class":5530},[5520,7220,7221],{"class":5522,"line":5567},[5520,7222,7223],{"class":5530},"modes = data.mode()\n",[5520,7225,7226],{"class":5522,"line":5623},[5520,7227,5557],{"emptyLinePlaceholder":5556},[5520,7229,7230,7232,7234,7237],{"class":5522,"line":5628},[5520,7231,5644],{"class":5643},[5520,7233,5647],{"class":5530},[5520,7235,7236],{"class":5654},"\"Моди:\"",[5520,7238,7239],{"class":5530},", modes.values)\n",[5520,7241,7242,7244,7246,7249,7251,7253],{"class":5522,"line":5634},[5520,7243,5644],{"class":5643},[5520,7245,5647],{"class":5530},[5520,7247,7248],{"class":5654},"\"Кількість мод:\"",[5520,7250,5577],{"class":5530},[5520,7252,5782],{"class":5643},[5520,7254,7255],{"class":5530},"(modes))\n",[5810,7257,7258],{"v-slot:output":5282},[5273,7259,7262],{"className":7260,"code":7261,"language":5278},[5276],"Моди: [2 6]\nКількість мод: 2\n",[5280,7263,7261],{"__ignoreMap":5282},[5330,7265,7266],{},[5266,7267,7268,7269,5491],{},"Аналогія бімодального розподілу: Уявіть магазин одягу, де найчастіше купують розмір S (жінки) та розмір L (чоловіки). Два піки — дві моди. Це сигнал, що ваші дані можуть складатись із ",[5221,7270,7271],{},"двох різних груп",[7063,7273,7275],{"id":7274},"_3-мода-для-категоріальних-даних","3. Мода для категоріальних даних",[5266,7277,7278,7279,7282],{},"Мода — ",[5221,7280,7281],{},"єдина міра центральної тенденції",", яка працює для категоріальних (некількісних) даних:",[5497,7284,7286],{"kernel":5499,"title":7285},"categorical_mode.ipynb",[5502,7287,7288,7427],{"execution-count":5511},[5273,7289,7291],{"className":5514,"code":7290,"language":5516,"meta":5282,"style":5282},"import pandas as pd\n\n# Дані про улюблені кольори студентів\ncolors = pd.Series(['червоний', 'синій', 'зелений', 'синій', \n                    'червоний', 'синій', 'жовтий', 'синій'])\n\nmode_color = colors.mode()[0]\nprint(f\"Найпопулярніший колір: {mode_color}\")\nprint(f\"Він зустрічається {(colors == mode_color).sum()} разів з {len(colors)}\")\n",[5280,7292,7293,7303,7307,7312,7337,7357,7361,7371,7393],{"__ignoreMap":5282},[5520,7294,7295,7297,7299,7301],{"class":5522,"line":5523},[5520,7296,5527],{"class":5526},[5520,7298,5545],{"class":5530},[5520,7300,5534],{"class":5526},[5520,7302,5550],{"class":5530},[5520,7304,7305],{"class":5522,"line":5540},[5520,7306,5557],{"emptyLinePlaceholder":5556},[5520,7308,7309],{"class":5522,"line":5553},[5520,7310,7311],{"class":5563},"# Дані про улюблені кольори студентів\n",[5520,7313,7314,7317,7320,7322,7325,7327,7330,7332,7334],{"class":5522,"line":5560},[5520,7315,7316],{"class":5530},"colors = pd.Series([",[5520,7318,7319],{"class":5654},"'червоний'",[5520,7321,5577],{"class":5530},[5520,7323,7324],{"class":5654},"'синій'",[5520,7326,5577],{"class":5530},[5520,7328,7329],{"class":5654},"'зелений'",[5520,7331,5577],{"class":5530},[5520,7333,7324],{"class":5654},[5520,7335,7336],{"class":5530},", \n",[5520,7338,7339,7342,7344,7346,7348,7351,7353,7355],{"class":5522,"line":5567},[5520,7340,7341],{"class":5654},"                    'червоний'",[5520,7343,5577],{"class":5530},[5520,7345,7324],{"class":5654},[5520,7347,5577],{"class":5530},[5520,7349,7350],{"class":5654},"'жовтий'",[5520,7352,5577],{"class":5530},[5520,7354,7324],{"class":5654},[5520,7356,5620],{"class":5530},[5520,7358,7359],{"class":5522,"line":5623},[5520,7360,5557],{"emptyLinePlaceholder":5556},[5520,7362,7363,7366,7368],{"class":5522,"line":5628},[5520,7364,7365],{"class":5530},"mode_color = colors.mode()[",[5520,7367,6869],{"class":5573},[5520,7369,7370],{"class":5530},"]\n",[5520,7372,7373,7375,7377,7379,7382,7384,7387,7389,7391],{"class":5522,"line":5634},[5520,7374,5644],{"class":5643},[5520,7376,5647],{"class":5530},[5520,7378,5651],{"class":5650},[5520,7380,7381],{"class":5654},"\"Найпопулярніший колір: ",[5520,7383,5658],{"class":5650},[5520,7385,7386],{"class":5530},"mode_color",[5520,7388,7044],{"class":5650},[5520,7390,7007],{"class":5654},[5520,7392,5670],{"class":5530},[5520,7394,7395,7397,7399,7401,7404,7406,7409,7411,7414,7416,7418,7421,7423,7425],{"class":5522,"line":5640},[5520,7396,5644],{"class":5643},[5520,7398,5647],{"class":5530},[5520,7400,5651],{"class":5650},[5520,7402,7403],{"class":5654},"\"Він зустрічається ",[5520,7405,5658],{"class":5650},[5520,7407,7408],{"class":5530},"(colors == mode_color).sum()",[5520,7410,7044],{"class":5650},[5520,7412,7413],{"class":5654}," разів з ",[5520,7415,5658],{"class":5650},[5520,7417,5782],{"class":5643},[5520,7419,7420],{"class":5530},"(colors)",[5520,7422,7044],{"class":5650},[5520,7424,7007],{"class":5654},[5520,7426,5670],{"class":5530},[5810,7428,7429],{"v-slot:output":5282},[5273,7430,7433],{"className":7431,"code":7432,"language":5278},[5276],"Найпопулярніший колір: синій\nВін зустрічається 4 рази з 8\n",[5280,7434,7432],{"__ignoreMap":5282},[5416,7436,7437,7440,7441,7444],{},[5221,7438,7439],{},"Важливо:"," Для кольорів (або будь-яких категорій без природного порядку) середнє та медіана ",[5221,7442,7443],{},"не мають сенсу",". Що означає «середній колір»? Нічого. Але мода (найпопулярніший колір) — цілком логічна міра.",[5370,7446,7448],{"id":7447},"коли-використовувати-моду","Коли використовувати моду",[5198,7450,7451,7454,7457,7460],{},[5201,7452,7453],{},"✅ Категоріальні дані (колір, бренд, місто)",[5201,7455,7456],{},"✅ Дискретні дані з повторюваними значеннями (розміри взуття, кількість дітей у сім'ї)",[5201,7458,7459],{},"✅ Потрібно знайти «найтиповіший» елемент",[5201,7461,7462],{},"✅ Для виявлення піків у розподілі",[6073,7464,7465,7470],{},[5266,7466,7467],{},[5221,7468,7469],{},"Обмеження моди:",[5198,7471,7472,7475,7478,7481],{},[5201,7473,7474],{},"Може не існувати (якщо всі значення унікальні)",[5201,7476,7477],{},"Може бути декілька (важко інтерпретувати)",[5201,7479,7480],{},"Ігнорує всі інші дані, окрім частоти",[5201,7482,7483,7484,7487],{},"Не враховує величину значень (мода з ",[5280,7485,7486],{},"[1, 1, 100, 100]"," може бути або 1, або 100 — рівноцінно)",[5258,7489],{},[5261,7491,7493],{"id":7492},"порівняльна-таблиця-mean-vs-median-vs-mode","Порівняльна таблиця: Mean vs Median vs Mode",[5266,7495,7496],{},"Підсумуємо всі три міри:",[6685,7498,7499,7514],{},[6688,7500,7501],{},[6691,7502,7503,7507,7510,7512],{},[6694,7504,7506],{"align":7505},"left","Характеристика",[6694,7508,7509],{"align":7505},"Середнє (Mean)",[6694,7511,6136],{"align":7505},[6694,7513,6657],{"align":7505},[6702,7515,7516,7532,7549,7580,7595,7611,7626,7642],{},[6691,7517,7518,7523,7526,7529],{},[6707,7519,7520],{"align":7505},[5221,7521,7522],{},"Визначення",[6707,7524,7525],{"align":7505},"Сума \u002F кількість",[6707,7527,7528],{"align":7505},"Центральне значення (50-й перцентиль)",[6707,7530,7531],{"align":7505},"Найчастіше значення",[6691,7533,7534,7538,7543,7546],{},[6707,7535,7536],{"align":7505},[5221,7537,5373],{},[6707,7539,7540],{"align":7505},[5291,7541],{"tex":7542,":inline":5380},"\\bar{x} = \\frac{\\sum x_i}{n}",[6707,7544,7545],{"align":7505},"Середній елемент відсортованого ряду",[6707,7547,7548],{"align":7505},"Значення з максимальною частотою",[6691,7550,7551,7556,7564,7572],{},[6707,7552,7553],{"align":7505},[5221,7554,7555],{},"NumPy\u002Fpandas",[6707,7557,7558,5577,7561],{"align":7505},[5280,7559,7560],{},"np.mean()",[5280,7562,7563],{},"df.mean()",[6707,7565,7566,5577,7569],{"align":7505},[5280,7567,7568],{},"np.median()",[5280,7570,7571],{},"df.median()",[6707,7573,7574,5577,7577],{"align":7505},[5280,7575,7576],{},"df.mode()",[5280,7578,7579],{},"scipy.stats.mode()",[6691,7581,7582,7587,7590,7593],{},[6707,7583,7584],{"align":7505},[5221,7585,7586],{},"Чутливість до аутлайерів",[6707,7588,7589],{"align":7505},"❌ Дуже чутливе",[6707,7591,7592],{"align":7505},"✅ Стійка",[6707,7594,7592],{"align":7505},[6691,7596,7597,7602,7605,7608],{},[6707,7598,7599],{"align":7505},[5221,7600,7601],{},"Тип даних",[6707,7603,7604],{"align":7505},"Числові (кількісні)",[6707,7606,7607],{"align":7505},"Числові + порядкові",[6707,7609,7610],{"align":7505},"Будь-які (навіть категоріальні)",[6691,7612,7613,7618,7621,7623],{},[6707,7614,7615],{"align":7505},[5221,7616,7617],{},"Унікальність",[6707,7619,7620],{"align":7505},"Завжди одне значення",[6707,7622,7620],{"align":7505},[6707,7624,7625],{"align":7505},"Може не існувати або бути кілька",[6691,7627,7628,7633,7636,7639],{},[6707,7629,7630],{"align":7505},[5221,7631,7632],{},"Інтерпретація",[6707,7634,7635],{"align":7505},"«Математичний центр ваги»",[6707,7637,7638],{"align":7505},"«Типове значення (50% вище\u002Fнижче)»",[6707,7640,7641],{"align":7505},"«Найпопулярніше значення»",[6691,7643,7644,7649,7652,7655],{},[6707,7645,7646],{"align":7505},[5221,7647,7648],{},"Коли використовувати",[6707,7650,7651],{"align":7505},"Симетричні розподіли, немає аутлайерів",[6707,7653,7654],{"align":7505},"Асиметричні розподіли, є аутлайери",[6707,7656,7657],{"align":7505},"Категоріальні дані, пошук піків",[5370,7659,7661],{"id":7660},"приклади-застосування","Приклади застосування",[5497,7663,7665,7671],{"kernel":5499,"title":7664},"real_world_examples.ipynb",[5502,7666,7667],{"type":5504},[5370,7668,7670],{"id":7669},"три-міри-для-різних-типів-даних","Три міри для різних типів даних",[5502,7672,7673,8092],{"execution-count":5511},[5273,7674,7676],{"className":5514,"code":7675,"language":5516,"meta":5282,"style":5282},"import numpy as np\nimport pandas as pd\n\n# 1. Симетричні дані: зріст студентів (см)\nheights = np.array([165, 168, 170, 172, 170, 169, 171, 170, 168, 172])\nprint(\"1. Зріст студентів (симетричний розподіл):\")\nprint(f\"   Середнє:  {heights.mean():.1f} см\")\nprint(f\"   Медіана:  {np.median(heights):.1f} см\")\nprint(f\"   Мода:     {pd.Series(heights).mode()[0]:.1f} см\")\nprint(\"   → Всі три міри близькі — можна використовувати будь-яку\\n\")\n\n# 2. Асиметричні дані: ціни на квартири (млн грн)\nprices = np.array([1.2, 1.5, 1.8, 2.0, 2.2, 2.5, 2.8, 3.0, 5.5, 8.0])\nprint(\"2. Ціни на квартири (асиметричний, є дорогі квартири):\")\nprint(f\"   Середнє:  {prices.mean():.2f} млн грн\")\nprint(f\"   Медіана:  {np.median(prices):.2f} млн грн\")\nprint(\"   → Медіана краще (середнє завищене через дорогі квартири)\\n\")\n\n# 3. Категоріальні дані: улюблені мови програмування\nlanguages = pd.Series(['Python', 'JavaScript', 'Python', 'Java', \n                       'Python', 'JavaScript', 'Python', 'C++'])\nprint(\"3. Улюблені мови програмування (категоріальні):\")\nprint(f\"   Мода:     {languages.mode()[0]}\")\nprint(\"   → Середнє та медіана не мають сенсу для категорій\")\n",[5280,7677,7678,7688,7698,7702,7707,7758,7769,7792,7814,7841,7856,7860,7865,7920,7931,7954,7975,7990,7994,7999,8023,8043,8054,8080],{"__ignoreMap":5282},[5520,7679,7680,7682,7684,7686],{"class":5522,"line":5523},[5520,7681,5527],{"class":5526},[5520,7683,5531],{"class":5530},[5520,7685,5534],{"class":5526},[5520,7687,5537],{"class":5530},[5520,7689,7690,7692,7694,7696],{"class":5522,"line":5540},[5520,7691,5527],{"class":5526},[5520,7693,5545],{"class":5530},[5520,7695,5534],{"class":5526},[5520,7697,5550],{"class":5530},[5520,7699,7700],{"class":5522,"line":5553},[5520,7701,5557],{"emptyLinePlaceholder":5556},[5520,7703,7704],{"class":5522,"line":5560},[5520,7705,7706],{"class":5563},"# 1. Симетричні дані: зріст студентів (см)\n",[5520,7708,7709,7712,7715,7717,7720,7722,7725,7727,7730,7732,7734,7736,7739,7741,7744,7746,7748,7750,7752,7754,7756],{"class":5522,"line":5567},[5520,7710,7711],{"class":5530},"heights = np.array([",[5520,7713,7714],{"class":5573},"165",[5520,7716,5577],{"class":5530},[5520,7718,7719],{"class":5573},"168",[5520,7721,5577],{"class":5530},[5520,7723,7724],{"class":5573},"170",[5520,7726,5577],{"class":5530},[5520,7728,7729],{"class":5573},"172",[5520,7731,5577],{"class":5530},[5520,7733,7724],{"class":5573},[5520,7735,5577],{"class":5530},[5520,7737,7738],{"class":5573},"169",[5520,7740,5577],{"class":5530},[5520,7742,7743],{"class":5573},"171",[5520,7745,5577],{"class":5530},[5520,7747,7724],{"class":5573},[5520,7749,5577],{"class":5530},[5520,7751,7719],{"class":5573},[5520,7753,5577],{"class":5530},[5520,7755,7729],{"class":5573},[5520,7757,5620],{"class":5530},[5520,7759,7760,7762,7764,7767],{"class":5522,"line":5623},[5520,7761,5644],{"class":5643},[5520,7763,5647],{"class":5530},[5520,7765,7766],{"class":5654},"\"1. Зріст студентів (симетричний розподіл):\"",[5520,7768,5670],{"class":5530},[5520,7770,7771,7773,7775,7777,7780,7782,7785,7787,7790],{"class":5522,"line":5628},[5520,7772,5644],{"class":5643},[5520,7774,5647],{"class":5530},[5520,7776,5651],{"class":5650},[5520,7778,7779],{"class":5654},"\"   Середнє:  ",[5520,7781,5658],{"class":5650},[5520,7783,7784],{"class":5530},"heights.mean()",[5520,7786,5664],{"class":5650},[5520,7788,7789],{"class":5654}," см\"",[5520,7791,5670],{"class":5530},[5520,7793,7794,7796,7798,7800,7803,7805,7808,7810,7812],{"class":5522,"line":5634},[5520,7795,5644],{"class":5643},[5520,7797,5647],{"class":5530},[5520,7799,5651],{"class":5650},[5520,7801,7802],{"class":5654},"\"   Медіана:  ",[5520,7804,5658],{"class":5650},[5520,7806,7807],{"class":5530},"np.median(heights)",[5520,7809,5664],{"class":5650},[5520,7811,7789],{"class":5654},[5520,7813,5670],{"class":5530},[5520,7815,7816,7818,7820,7822,7825,7827,7830,7832,7835,7837,7839],{"class":5522,"line":5640},[5520,7817,5644],{"class":5643},[5520,7819,5647],{"class":5530},[5520,7821,5651],{"class":5650},[5520,7823,7824],{"class":5654},"\"   Мода:     ",[5520,7826,5658],{"class":5650},[5520,7828,7829],{"class":5530},"pd.Series(heights).mode()[",[5520,7831,6869],{"class":5573},[5520,7833,7834],{"class":5530},"]",[5520,7836,5664],{"class":5650},[5520,7838,7789],{"class":5654},[5520,7840,5670],{"class":5530},[5520,7842,7843,7845,7847,7850,7852,7854],{"class":5522,"line":5673},[5520,7844,5644],{"class":5643},[5520,7846,5647],{"class":5530},[5520,7848,7849],{"class":5654},"\"   → Всі три міри близькі — можна використовувати будь-яку",[5520,7851,7011],{"class":7010},[5520,7853,7007],{"class":5654},[5520,7855,5670],{"class":5530},[5520,7857,7858],{"class":5522,"line":5678},[5520,7859,5557],{"emptyLinePlaceholder":5556},[5520,7861,7862],{"class":5522,"line":5684},[5520,7863,7864],{"class":5563},"# 2. Асиметричні дані: ціни на квартири (млн грн)\n",[5520,7866,7867,7870,7873,7875,7878,7880,7883,7885,7888,7890,7893,7895,7898,7900,7903,7905,7908,7910,7913,7915,7918],{"class":5522,"line":5690},[5520,7868,7869],{"class":5530},"prices = np.array([",[5520,7871,7872],{"class":5573},"1.2",[5520,7874,5577],{"class":5530},[5520,7876,7877],{"class":5573},"1.5",[5520,7879,5577],{"class":5530},[5520,7881,7882],{"class":5573},"1.8",[5520,7884,5577],{"class":5530},[5520,7886,7887],{"class":5573},"2.0",[5520,7889,5577],{"class":5530},[5520,7891,7892],{"class":5573},"2.2",[5520,7894,5577],{"class":5530},[5520,7896,7897],{"class":5573},"2.5",[5520,7899,5577],{"class":5530},[5520,7901,7902],{"class":5573},"2.8",[5520,7904,5577],{"class":5530},[5520,7906,7907],{"class":5573},"3.0",[5520,7909,5577],{"class":5530},[5520,7911,7912],{"class":5573},"5.5",[5520,7914,5577],{"class":5530},[5520,7916,7917],{"class":5573},"8.0",[5520,7919,5620],{"class":5530},[5520,7921,7922,7924,7926,7929],{"class":5522,"line":5713},[5520,7923,5644],{"class":5643},[5520,7925,5647],{"class":5530},[5520,7927,7928],{"class":5654},"\"2. Ціни на квартири (асиметричний, є дорогі квартири):\"",[5520,7930,5670],{"class":5530},[5520,7932,7933,7935,7937,7939,7941,7943,7946,7949,7952],{"class":5522,"line":5718},[5520,7934,5644],{"class":5643},[5520,7936,5647],{"class":5530},[5520,7938,5651],{"class":5650},[5520,7940,7779],{"class":5654},[5520,7942,5658],{"class":5650},[5520,7944,7945],{"class":5530},"prices.mean()",[5520,7947,7948],{"class":5650},":.2f}",[5520,7950,7951],{"class":5654}," млн грн\"",[5520,7953,5670],{"class":5530},[5520,7955,7956,7958,7960,7962,7964,7966,7969,7971,7973],{"class":5522,"line":5724},[5520,7957,5644],{"class":5643},[5520,7959,5647],{"class":5530},[5520,7961,5651],{"class":5650},[5520,7963,7802],{"class":5654},[5520,7965,5658],{"class":5650},[5520,7967,7968],{"class":5530},"np.median(prices)",[5520,7970,7948],{"class":5650},[5520,7972,7951],{"class":5654},[5520,7974,5670],{"class":5530},[5520,7976,7977,7979,7981,7984,7986,7988],{"class":5522,"line":5730},[5520,7978,5644],{"class":5643},[5520,7980,5647],{"class":5530},[5520,7982,7983],{"class":5654},"\"   → Медіана краще (середнє завищене через дорогі квартири)",[5520,7985,7011],{"class":7010},[5520,7987,7007],{"class":5654},[5520,7989,5670],{"class":5530},[5520,7991,7992],{"class":5522,"line":5736},[5520,7993,5557],{"emptyLinePlaceholder":5556},[5520,7995,7996],{"class":5522,"line":5759},[5520,7997,7998],{"class":5563},"# 3. Категоріальні дані: улюблені мови програмування\n",[5520,8000,8001,8004,8007,8009,8012,8014,8016,8018,8021],{"class":5522,"line":5764},[5520,8002,8003],{"class":5530},"languages = pd.Series([",[5520,8005,8006],{"class":5654},"'Python'",[5520,8008,5577],{"class":5530},[5520,8010,8011],{"class":5654},"'JavaScript'",[5520,8013,5577],{"class":5530},[5520,8015,8006],{"class":5654},[5520,8017,5577],{"class":5530},[5520,8019,8020],{"class":5654},"'Java'",[5520,8022,7336],{"class":5530},[5520,8024,8025,8028,8030,8032,8034,8036,8038,8041],{"class":5522,"line":5770},[5520,8026,8027],{"class":5654},"                       'Python'",[5520,8029,5577],{"class":5530},[5520,8031,8011],{"class":5654},[5520,8033,5577],{"class":5530},[5520,8035,8006],{"class":5654},[5520,8037,5577],{"class":5530},[5520,8039,8040],{"class":5654},"'C++'",[5520,8042,5620],{"class":5530},[5520,8044,8045,8047,8049,8052],{"class":5522,"line":5788},[5520,8046,5644],{"class":5643},[5520,8048,5647],{"class":5530},[5520,8050,8051],{"class":5654},"\"3. Улюблені мови програмування (категоріальні):\"",[5520,8053,5670],{"class":5530},[5520,8055,8057,8059,8061,8063,8065,8067,8070,8072,8074,8076,8078],{"class":5522,"line":8056},23,[5520,8058,5644],{"class":5643},[5520,8060,5647],{"class":5530},[5520,8062,5651],{"class":5650},[5520,8064,7824],{"class":5654},[5520,8066,5658],{"class":5650},[5520,8068,8069],{"class":5530},"languages.mode()[",[5520,8071,6869],{"class":5573},[5520,8073,7834],{"class":5530},[5520,8075,7044],{"class":5650},[5520,8077,7007],{"class":5654},[5520,8079,5670],{"class":5530},[5520,8081,8083,8085,8087,8090],{"class":5522,"line":8082},24,[5520,8084,5644],{"class":5643},[5520,8086,5647],{"class":5530},[5520,8088,8089],{"class":5654},"\"   → Середнє та медіана не мають сенсу для категорій\"",[5520,8091,5670],{"class":5530},[5810,8093,8094],{"v-slot:output":5282},[5273,8095,8098],{"className":8096,"code":8097,"language":5278},[5276],"1. Зріст студентів (симетричний розподіл):\n   Середнє:  169.5 см\n   Медіана:  170.0 см\n   Мода:     170.0 см\n   → Всі три міри близькі — можна використовувати будь-яку\n\n2. Ціни на квартири (асиметричний, є дорогі квартири):\n   Середнє:  3.05 млн грн\n   Медіана:  2.35 млн грн\n   → Медіана краще (середнє завищене через дорогі квартири)\n\n3. Улюблені мови програмування (категоріальні):\n   Мода:     Python\n   → Середнє та медіана не мають сенсу для категорій\n",[5280,8099,8097],{"__ignoreMap":5282},[5258,8101],{},[5261,8103,8105],{"id":8104},"візуальне-порівняння-мір-центру","Візуальне порівняння мір центру",[5266,8107,8108],{},"Одна картинка варта тисячі слів. Давайте побачимо, де розташовані mean, median та mode на гістограмі:",[5497,8110,8112,8121],{"kernel":5499,"title":8111},"visual_comparison.ipynb",[5502,8113,8114,8118],{"type":5504},[5370,8115,8117],{"id":8116},"візуалізація-трьох-мір-центральної-тенденції","Візуалізація трьох мір центральної тенденції",[5266,8119,8120],{},"Порівняємо симетричний та асиметричний розподіли",[5502,8122,8123,8898],{"execution-count":5511},[5273,8124,8126],{"className":5514,"code":8125,"language":5516,"meta":5282,"style":5282},"import numpy as np\nimport matplotlib.pyplot as plt\nfrom scipy import stats\n\nrng = np.random.default_rng(seed=42)\n\n# Створюємо два типи даних\n# 1. Симетричний розподіл (нормальний)\nsymmetric_data = rng.normal(100, 15, 1000)\n\n# 2. Асиметричний розподіл (з правим хвостом)\nskewed_data = np.concatenate([\n    rng.normal(50, 10, 900),  # Основна маса\n    rng.uniform(100, 200, 100)  # Аутлайери справа\n])\n\n# Створюємо графіки\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\n# Графік 1: Симетричний розподіл\nax1.hist(symmetric_data, bins=30, alpha=0.7, color='steelblue', edgecolor='black')\nmean1 = symmetric_data.mean()\nmedian1 = np.median(symmetric_data)\nmode1 = stats.mode(symmetric_data, keepdims=False).mode\n\nax1.axvline(mean1, color='red', linestyle='--', linewidth=2, label=f'Середнє = {mean1:.1f}')\nax1.axvline(median1, color='green', linestyle='--', linewidth=2, label=f'Медіана = {median1:.1f}')\nax1.set_title('Симетричний розподіл\\n(Mean ≈ Median ≈ Mode)', fontweight='bold')\nax1.set_xlabel('Значення')\nax1.set_ylabel('Частота')\nax1.legend()\nax1.grid(alpha=0.3)\n\n# Графік 2: Асиметричний розподіл\nax2.hist(skewed_data, bins=30, alpha=0.7, color='coral', edgecolor='black')\nmean2 = skewed_data.mean()\nmedian2 = np.median(skewed_data)\n\nax2.axvline(mean2, color='red', linestyle='--', linewidth=2, label=f'Середнє = {mean2:.1f}')\nax2.axvline(median2, color='green', linestyle='--', linewidth=2, label=f'Медіана = {median2:.1f}')\nax2.set_title('Асиметричний розподіл (правий хвіст)\\n(Mean > Median)', fontweight='bold')\nax2.set_xlabel('Значення')\nax2.set_ylabel('Частота')\nax2.legend()\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"Симетричний розподіл:\")\nprint(f\"  Різниця (Mean - Median): {abs(mean1 - median1):.2f}\")\nprint(\"\\nАсиметричний розподіл:\")\nprint(f\"  Різниця (Mean - Median): {abs(mean2 - median2):.2f}\")\n",[5280,8127,8128,8138,8150,8160,8164,8179,8183,8188,8193,8212,8216,8221,8226,8249,8270,8274,8278,8283,8312,8316,8321,8365,8370,8375,8389,8394,8450,8501,8527,8538,8549,8555,8570,8575,8581,8620,8626,8632,8637,8686,8735,8759,8769,8779,8785,8799,8804,8810,8816,8821,8833,8858,8874],{"__ignoreMap":5282},[5520,8129,8130,8132,8134,8136],{"class":5522,"line":5523},[5520,8131,5527],{"class":5526},[5520,8133,5531],{"class":5530},[5520,8135,5534],{"class":5526},[5520,8137,5537],{"class":5530},[5520,8139,8140,8142,8145,8147],{"class":5522,"line":5540},[5520,8141,5527],{"class":5526},[5520,8143,8144],{"class":5530}," matplotlib.pyplot ",[5520,8146,5534],{"class":5526},[5520,8148,8149],{"class":5530}," plt\n",[5520,8151,8152,8154,8156,8158],{"class":5522,"line":5553},[5520,8153,6967],{"class":5526},[5520,8155,6970],{"class":5530},[5520,8157,5527],{"class":5526},[5520,8159,6975],{"class":5530},[5520,8161,8162],{"class":5522,"line":5560},[5520,8163,5557],{"emptyLinePlaceholder":5556},[5520,8165,8166,8169,8172,8174,8177],{"class":5522,"line":5567},[5520,8167,8168],{"class":5530},"rng = np.random.default_rng(",[5520,8170,8171],{"class":6987},"seed",[5520,8173,6991],{"class":5530},[5520,8175,8176],{"class":5573},"42",[5520,8178,5670],{"class":5530},[5520,8180,8181],{"class":5522,"line":5623},[5520,8182,5557],{"emptyLinePlaceholder":5556},[5520,8184,8185],{"class":5522,"line":5628},[5520,8186,8187],{"class":5563},"# Створюємо два типи даних\n",[5520,8189,8190],{"class":5522,"line":5634},[5520,8191,8192],{"class":5563},"# 1. Симетричний розподіл (нормальний)\n",[5520,8194,8195,8198,8200,8202,8205,8207,8210],{"class":5522,"line":5640},[5520,8196,8197],{"class":5530},"symmetric_data = rng.normal(",[5520,8199,6045],{"class":5573},[5520,8201,5577],{"class":5530},[5520,8203,8204],{"class":5573},"15",[5520,8206,5577],{"class":5530},[5520,8208,8209],{"class":5573},"1000",[5520,8211,5670],{"class":5530},[5520,8213,8214],{"class":5522,"line":5673},[5520,8215,5557],{"emptyLinePlaceholder":5556},[5520,8217,8218],{"class":5522,"line":5678},[5520,8219,8220],{"class":5563},"# 2. Асиметричний розподіл (з правим хвостом)\n",[5520,8222,8223],{"class":5522,"line":5684},[5520,8224,8225],{"class":5530},"skewed_data = np.concatenate([\n",[5520,8227,8228,8231,8234,8236,8238,8240,8243,8246],{"class":5522,"line":5690},[5520,8229,8230],{"class":5530},"    rng.normal(",[5520,8232,8233],{"class":5573},"50",[5520,8235,5577],{"class":5530},[5520,8237,7082],{"class":5573},[5520,8239,5577],{"class":5530},[5520,8241,8242],{"class":5573},"900",[5520,8244,8245],{"class":5530},"),  ",[5520,8247,8248],{"class":5563},"# Основна маса\n",[5520,8250,8251,8254,8256,8258,8260,8262,8264,8267],{"class":5522,"line":5713},[5520,8252,8253],{"class":5530},"    rng.uniform(",[5520,8255,6045],{"class":5573},[5520,8257,5577],{"class":5530},[5520,8259,5617],{"class":5573},[5520,8261,5577],{"class":5530},[5520,8263,6045],{"class":5573},[5520,8265,8266],{"class":5530},")  ",[5520,8268,8269],{"class":5563},"# Аутлайери справа\n",[5520,8271,8272],{"class":5522,"line":5718},[5520,8273,5620],{"class":5530},[5520,8275,8276],{"class":5522,"line":5724},[5520,8277,5557],{"emptyLinePlaceholder":5556},[5520,8279,8280],{"class":5522,"line":5730},[5520,8281,8282],{"class":5563},"# Створюємо графіки\n",[5520,8284,8285,8288,8290,8292,8294,8296,8299,8302,8305,8307,8309],{"class":5522,"line":5736},[5520,8286,8287],{"class":5530},"fig, (ax1, ax2) = plt.subplots(",[5520,8289,5511],{"class":5573},[5520,8291,5577],{"class":5530},[5520,8293,6450],{"class":5573},[5520,8295,5577],{"class":5530},[5520,8297,8298],{"class":6987},"figsize",[5520,8300,8301],{"class":5530},"=(",[5520,8303,8304],{"class":5573},"14",[5520,8306,5577],{"class":5530},[5520,8308,7141],{"class":5573},[5520,8310,8311],{"class":5530},"))\n",[5520,8313,8314],{"class":5522,"line":5759},[5520,8315,5557],{"emptyLinePlaceholder":5556},[5520,8317,8318],{"class":5522,"line":5764},[5520,8319,8320],{"class":5563},"# Графік 1: Симетричний розподіл\n",[5520,8322,8323,8326,8329,8331,8333,8335,8338,8340,8343,8345,8348,8350,8353,8355,8358,8360,8363],{"class":5522,"line":5770},[5520,8324,8325],{"class":5530},"ax1.hist(symmetric_data, ",[5520,8327,8328],{"class":6987},"bins",[5520,8330,6991],{"class":5530},[5520,8332,5580],{"class":5573},[5520,8334,5577],{"class":5530},[5520,8336,8337],{"class":6987},"alpha",[5520,8339,6991],{"class":5530},[5520,8341,8342],{"class":5573},"0.7",[5520,8344,5577],{"class":5530},[5520,8346,8347],{"class":6987},"color",[5520,8349,6991],{"class":5530},[5520,8351,8352],{"class":5654},"'steelblue'",[5520,8354,5577],{"class":5530},[5520,8356,8357],{"class":6987},"edgecolor",[5520,8359,6991],{"class":5530},[5520,8361,8362],{"class":5654},"'black'",[5520,8364,5670],{"class":5530},[5520,8366,8367],{"class":5522,"line":5788},[5520,8368,8369],{"class":5530},"mean1 = symmetric_data.mean()\n",[5520,8371,8372],{"class":5522,"line":8056},[5520,8373,8374],{"class":5530},"median1 = np.median(symmetric_data)\n",[5520,8376,8377,8380,8382,8384,8386],{"class":5522,"line":8082},[5520,8378,8379],{"class":5530},"mode1 = stats.mode(symmetric_data, ",[5520,8381,6988],{"class":6987},[5520,8383,6991],{"class":5530},[5520,8385,6994],{"class":5650},[5520,8387,8388],{"class":5530},").mode\n",[5520,8390,8392],{"class":5522,"line":8391},25,[5520,8393,5557],{"emptyLinePlaceholder":5556},[5520,8395,8397,8400,8402,8404,8407,8409,8412,8414,8417,8419,8422,8424,8426,8428,8431,8433,8435,8438,8440,8443,8445,8448],{"class":5522,"line":8396},26,[5520,8398,8399],{"class":5530},"ax1.axvline(mean1, ",[5520,8401,8347],{"class":6987},[5520,8403,6991],{"class":5530},[5520,8405,8406],{"class":5654},"'red'",[5520,8408,5577],{"class":5530},[5520,8410,8411],{"class":6987},"linestyle",[5520,8413,6991],{"class":5530},[5520,8415,8416],{"class":5654},"'--'",[5520,8418,5577],{"class":5530},[5520,8420,8421],{"class":6987},"linewidth",[5520,8423,6991],{"class":5530},[5520,8425,6450],{"class":5573},[5520,8427,5577],{"class":5530},[5520,8429,8430],{"class":6987},"label",[5520,8432,6991],{"class":5530},[5520,8434,5651],{"class":5650},[5520,8436,8437],{"class":5654},"'Середнє = ",[5520,8439,5658],{"class":5650},[5520,8441,8442],{"class":5530},"mean1",[5520,8444,5664],{"class":5650},[5520,8446,8447],{"class":5654},"'",[5520,8449,5670],{"class":5530},[5520,8451,8453,8456,8458,8460,8463,8465,8467,8469,8471,8473,8475,8477,8479,8481,8483,8485,8487,8490,8492,8495,8497,8499],{"class":5522,"line":8452},27,[5520,8454,8455],{"class":5530},"ax1.axvline(median1, ",[5520,8457,8347],{"class":6987},[5520,8459,6991],{"class":5530},[5520,8461,8462],{"class":5654},"'green'",[5520,8464,5577],{"class":5530},[5520,8466,8411],{"class":6987},[5520,8468,6991],{"class":5530},[5520,8470,8416],{"class":5654},[5520,8472,5577],{"class":5530},[5520,8474,8421],{"class":6987},[5520,8476,6991],{"class":5530},[5520,8478,6450],{"class":5573},[5520,8480,5577],{"class":5530},[5520,8482,8430],{"class":6987},[5520,8484,6991],{"class":5530},[5520,8486,5651],{"class":5650},[5520,8488,8489],{"class":5654},"'Медіана = ",[5520,8491,5658],{"class":5650},[5520,8493,8494],{"class":5530},"median1",[5520,8496,5664],{"class":5650},[5520,8498,8447],{"class":5654},[5520,8500,5670],{"class":5530},[5520,8502,8504,8507,8510,8512,8515,8517,8520,8522,8525],{"class":5522,"line":8503},28,[5520,8505,8506],{"class":5530},"ax1.set_title(",[5520,8508,8509],{"class":5654},"'Симетричний розподіл",[5520,8511,7011],{"class":7010},[5520,8513,8514],{"class":5654},"(Mean ≈ Median ≈ Mode)'",[5520,8516,5577],{"class":5530},[5520,8518,8519],{"class":6987},"fontweight",[5520,8521,6991],{"class":5530},[5520,8523,8524],{"class":5654},"'bold'",[5520,8526,5670],{"class":5530},[5520,8528,8530,8533,8536],{"class":5522,"line":8529},29,[5520,8531,8532],{"class":5530},"ax1.set_xlabel(",[5520,8534,8535],{"class":5654},"'Значення'",[5520,8537,5670],{"class":5530},[5520,8539,8541,8544,8547],{"class":5522,"line":8540},30,[5520,8542,8543],{"class":5530},"ax1.set_ylabel(",[5520,8545,8546],{"class":5654},"'Частота'",[5520,8548,5670],{"class":5530},[5520,8550,8552],{"class":5522,"line":8551},31,[5520,8553,8554],{"class":5530},"ax1.legend()\n",[5520,8556,8558,8561,8563,8565,8568],{"class":5522,"line":8557},32,[5520,8559,8560],{"class":5530},"ax1.grid(",[5520,8562,8337],{"class":6987},[5520,8564,6991],{"class":5530},[5520,8566,8567],{"class":5573},"0.3",[5520,8569,5670],{"class":5530},[5520,8571,8573],{"class":5522,"line":8572},33,[5520,8574,5557],{"emptyLinePlaceholder":5556},[5520,8576,8578],{"class":5522,"line":8577},34,[5520,8579,8580],{"class":5563},"# Графік 2: Асиметричний розподіл\n",[5520,8582,8584,8587,8589,8591,8593,8595,8597,8599,8601,8603,8605,8607,8610,8612,8614,8616,8618],{"class":5522,"line":8583},35,[5520,8585,8586],{"class":5530},"ax2.hist(skewed_data, ",[5520,8588,8328],{"class":6987},[5520,8590,6991],{"class":5530},[5520,8592,5580],{"class":5573},[5520,8594,5577],{"class":5530},[5520,8596,8337],{"class":6987},[5520,8598,6991],{"class":5530},[5520,8600,8342],{"class":5573},[5520,8602,5577],{"class":5530},[5520,8604,8347],{"class":6987},[5520,8606,6991],{"class":5530},[5520,8608,8609],{"class":5654},"'coral'",[5520,8611,5577],{"class":5530},[5520,8613,8357],{"class":6987},[5520,8615,6991],{"class":5530},[5520,8617,8362],{"class":5654},[5520,8619,5670],{"class":5530},[5520,8621,8623],{"class":5522,"line":8622},36,[5520,8624,8625],{"class":5530},"mean2 = skewed_data.mean()\n",[5520,8627,8629],{"class":5522,"line":8628},37,[5520,8630,8631],{"class":5530},"median2 = np.median(skewed_data)\n",[5520,8633,8635],{"class":5522,"line":8634},38,[5520,8636,5557],{"emptyLinePlaceholder":5556},[5520,8638,8640,8643,8645,8647,8649,8651,8653,8655,8657,8659,8661,8663,8665,8667,8669,8671,8673,8675,8677,8680,8682,8684],{"class":5522,"line":8639},39,[5520,8641,8642],{"class":5530},"ax2.axvline(mean2, ",[5520,8644,8347],{"class":6987},[5520,8646,6991],{"class":5530},[5520,8648,8406],{"class":5654},[5520,8650,5577],{"class":5530},[5520,8652,8411],{"class":6987},[5520,8654,6991],{"class":5530},[5520,8656,8416],{"class":5654},[5520,8658,5577],{"class":5530},[5520,8660,8421],{"class":6987},[5520,8662,6991],{"class":5530},[5520,8664,6450],{"class":5573},[5520,8666,5577],{"class":5530},[5520,8668,8430],{"class":6987},[5520,8670,6991],{"class":5530},[5520,8672,5651],{"class":5650},[5520,8674,8437],{"class":5654},[5520,8676,5658],{"class":5650},[5520,8678,8679],{"class":5530},"mean2",[5520,8681,5664],{"class":5650},[5520,8683,8447],{"class":5654},[5520,8685,5670],{"class":5530},[5520,8687,8689,8692,8694,8696,8698,8700,8702,8704,8706,8708,8710,8712,8714,8716,8718,8720,8722,8724,8726,8729,8731,8733],{"class":5522,"line":8688},40,[5520,8690,8691],{"class":5530},"ax2.axvline(median2, ",[5520,8693,8347],{"class":6987},[5520,8695,6991],{"class":5530},[5520,8697,8462],{"class":5654},[5520,8699,5577],{"class":5530},[5520,8701,8411],{"class":6987},[5520,8703,6991],{"class":5530},[5520,8705,8416],{"class":5654},[5520,8707,5577],{"class":5530},[5520,8709,8421],{"class":6987},[5520,8711,6991],{"class":5530},[5520,8713,6450],{"class":5573},[5520,8715,5577],{"class":5530},[5520,8717,8430],{"class":6987},[5520,8719,6991],{"class":5530},[5520,8721,5651],{"class":5650},[5520,8723,8489],{"class":5654},[5520,8725,5658],{"class":5650},[5520,8727,8728],{"class":5530},"median2",[5520,8730,5664],{"class":5650},[5520,8732,8447],{"class":5654},[5520,8734,5670],{"class":5530},[5520,8736,8738,8741,8744,8746,8749,8751,8753,8755,8757],{"class":5522,"line":8737},41,[5520,8739,8740],{"class":5530},"ax2.set_title(",[5520,8742,8743],{"class":5654},"'Асиметричний розподіл (правий хвіст)",[5520,8745,7011],{"class":7010},[5520,8747,8748],{"class":5654},"(Mean > Median)'",[5520,8750,5577],{"class":5530},[5520,8752,8519],{"class":6987},[5520,8754,6991],{"class":5530},[5520,8756,8524],{"class":5654},[5520,8758,5670],{"class":5530},[5520,8760,8762,8765,8767],{"class":5522,"line":8761},42,[5520,8763,8764],{"class":5530},"ax2.set_xlabel(",[5520,8766,8535],{"class":5654},[5520,8768,5670],{"class":5530},[5520,8770,8772,8775,8777],{"class":5522,"line":8771},43,[5520,8773,8774],{"class":5530},"ax2.set_ylabel(",[5520,8776,8546],{"class":5654},[5520,8778,5670],{"class":5530},[5520,8780,8782],{"class":5522,"line":8781},44,[5520,8783,8784],{"class":5530},"ax2.legend()\n",[5520,8786,8788,8791,8793,8795,8797],{"class":5522,"line":8787},45,[5520,8789,8790],{"class":5530},"ax2.grid(",[5520,8792,8337],{"class":6987},[5520,8794,6991],{"class":5530},[5520,8796,8567],{"class":5573},[5520,8798,5670],{"class":5530},[5520,8800,8802],{"class":5522,"line":8801},46,[5520,8803,5557],{"emptyLinePlaceholder":5556},[5520,8805,8807],{"class":5522,"line":8806},47,[5520,8808,8809],{"class":5530},"plt.tight_layout()\n",[5520,8811,8813],{"class":5522,"line":8812},48,[5520,8814,8815],{"class":5530},"plt.show()\n",[5520,8817,8819],{"class":5522,"line":8818},49,[5520,8820,5557],{"emptyLinePlaceholder":5556},[5520,8822,8824,8826,8828,8831],{"class":5522,"line":8823},50,[5520,8825,5644],{"class":5643},[5520,8827,5647],{"class":5530},[5520,8829,8830],{"class":5654},"\"Симетричний розподіл:\"",[5520,8832,5670],{"class":5530},[5520,8834,8836,8838,8840,8842,8845,8847,8849,8852,8854,8856],{"class":5522,"line":8835},51,[5520,8837,5644],{"class":5643},[5520,8839,5647],{"class":5530},[5520,8841,5651],{"class":5650},[5520,8843,8844],{"class":5654},"\"  Різниця (Mean - Median): ",[5520,8846,5658],{"class":5650},[5520,8848,6430],{"class":5643},[5520,8850,8851],{"class":5530},"(mean1 - median1)",[5520,8853,7948],{"class":5650},[5520,8855,7007],{"class":5654},[5520,8857,5670],{"class":5530},[5520,8859,8861,8863,8865,8867,8869,8872],{"class":5522,"line":8860},52,[5520,8862,5644],{"class":5643},[5520,8864,5647],{"class":5530},[5520,8866,7007],{"class":5654},[5520,8868,7011],{"class":7010},[5520,8870,8871],{"class":5654},"Асиметричний розподіл:\"",[5520,8873,5670],{"class":5530},[5520,8875,8877,8879,8881,8883,8885,8887,8889,8892,8894,8896],{"class":5522,"line":8876},53,[5520,8878,5644],{"class":5643},[5520,8880,5647],{"class":5530},[5520,8882,5651],{"class":5650},[5520,8884,8844],{"class":5654},[5520,8886,5658],{"class":5650},[5520,8888,6430],{"class":5643},[5520,8890,8891],{"class":5530},"(mean2 - median2)",[5520,8893,7948],{"class":5650},[5520,8895,7007],{"class":5654},[5520,8897,5670],{"class":5530},[5810,8899,8900,8907],{"v-slot:output":5282},[5266,8901,8902],{},[5338,8903],{"alt":8904,"className":8905,"src":8906},"Симетричний та асиметричний розподіли: вплив форми на середнє та медіану",[5342],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency\u002F01.png",[5273,8908,8911],{"className":8909,"code":8910,"language":5278},[5276],"Симетричний розподіл:\n  Різниця (Mean - Median): 0.23\n\nАсиметричний розподіл:\n  Різниця (Mean - Median): 12.47\n",[5280,8912,8910],{"__ignoreMap":5282},[5416,8914,8915,8920,8925,8943,8948],{},[5266,8916,8917],{},[5221,8918,8919],{},"Що ми бачимо:",[5266,8921,8922],{},[5221,8923,8924],{},"Зліва (симетричний розподіл):",[5198,8926,8927,8934,8937],{},[5201,8928,8929,8930,8933],{},"Червона та зелена лінії ",[5221,8931,8932],{},"майже збігаються"," — середнє ≈ медіана",[5201,8935,8936],{},"Розподіл дзвоноподібний, без перекосу",[5201,8938,8939,8942],{},[5221,8940,8941],{},"Висновок:"," можна використовувати будь-яку міру",[5266,8944,8945],{},[5221,8946,8947],{},"Справа (асиметричний розподіл):",[5198,8949,8950,8957,8960],{},[5201,8951,8952,8953,8956],{},"Червона лінія (середнє) ",[5221,8954,8955],{},"зміщена вправо"," від зеленої (медіани)",[5201,8958,8959],{},"Причина: довгий «хвіст» справа (аутлайери) тягнуть середнє",[5201,8961,8962,8964],{},[5221,8963,8941],{}," медіана краще відображає центр основної маси даних",[5258,8966],{},[5261,8968,8970],{"id":8969},"симетричні-vs-асиметричні-розподіли","Симетричні vs асиметричні розподіли",[5370,8972,8974],{"id":8973},"симетричний-розподіл","Симетричний розподіл",[5266,8976,8977,5224,8979,8982],{},[5221,8978,8974],{},[5226,8980,8981],{},"symmetric distribution",") — це розподіл, у якому ліва та права частини дзеркально відображають одна одну відносно центру.",[5266,8984,8985],{},[5221,8986,8987],{},"Ознаки симетричного розподілу:",[5198,8989,8990,8993,8996],{},[5201,8991,8992],{},"Mean ≈ Median ≈ Mode (всі три міри близькі)",[5201,8994,8995],{},"Гістограма має форму «дзвона»",[5201,8997,8998],{},"Немає довгих «хвостів» з одного боку",[5266,9000,9001],{},[5221,9002,9003],{},"Приклади:",[5198,9005,9006,9009,9012],{},[5201,9007,9008],{},"Зріст дорослих людей",[5201,9010,9011],{},"Результати стандартизованих тестів у великій групі",[5201,9013,9014],{},"Похибки вимірювань (при правильній калібровці)",[5370,9016,9018],{"id":9017},"асиметричний-розподіл-skewed-distribution","Асиметричний розподіл (Skewed Distribution)",[5266,9020,9021,5224,9024,9027],{},[5221,9022,9023],{},"Асиметричний розподіл",[5226,9025,9026],{},"skewed distribution",") — це розподіл, у якого одна частина «розтягнута» — утворюється довгий хвіст.",[7063,9029,9031],{"id":9030},"правостороння-асиметрія-right-skewed-positive-skew","Правостороння асиметрія (Right-skewed \u002F Positive skew)",[5266,9033,9034,9035,9038],{},"Довгий хвіст ",[5221,9036,9037],{},"справа"," → Mean > Median",[9040,9041,9043],"plant-uml",{"alt":9042},"Асиметрія розподілу даних та вплив викидів",[5273,9044,9048],{"className":9045,"code":9046,"language":9047,"meta":5282,"style":5282},"language-plantuml shiki shiki-themes light-plus dark-plus dark-plus","@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\n\nrectangle \"Основна маса даних\" as main #lightblue\nrectangle \"Хвіст (аутлайери)\" as tail #lightcoral\n\nmain -right-> tail : \"напрямок асиметрії →\"\n\nnote bottom of main\n  Більшість значень тут\n  Медіана\nend note\n\nnote bottom of tail\n  Рідкісні високі значення\n  тягнуть середнє вправо\n  Середнє >\nend note\n\n@enduml\n","plantuml",[5280,9049,9050,9055,9060,9065,9069,9074,9079,9083,9088,9092,9097,9102,9107,9112,9116,9121,9126,9131,9136,9140,9144],{"__ignoreMap":5282},[5520,9051,9052],{"class":5522,"line":5523},[5520,9053,9054],{},"@startuml\n",[5520,9056,9057],{"class":5522,"line":5540},[5520,9058,9059],{},"skinparam style plain\n",[5520,9061,9062],{"class":5522,"line":5553},[5520,9063,9064],{},"skinparam backgroundColor #FFFFFF\n",[5520,9066,9067],{"class":5522,"line":5560},[5520,9068,5557],{"emptyLinePlaceholder":5556},[5520,9070,9071],{"class":5522,"line":5567},[5520,9072,9073],{},"rectangle \"Основна маса даних\" as main #lightblue\n",[5520,9075,9076],{"class":5522,"line":5623},[5520,9077,9078],{},"rectangle \"Хвіст (аутлайери)\" as tail #lightcoral\n",[5520,9080,9081],{"class":5522,"line":5628},[5520,9082,5557],{"emptyLinePlaceholder":5556},[5520,9084,9085],{"class":5522,"line":5634},[5520,9086,9087],{},"main -right-> tail : \"напрямок асиметрії →\"\n",[5520,9089,9090],{"class":5522,"line":5640},[5520,9091,5557],{"emptyLinePlaceholder":5556},[5520,9093,9094],{"class":5522,"line":5673},[5520,9095,9096],{},"note bottom of main\n",[5520,9098,9099],{"class":5522,"line":5678},[5520,9100,9101],{},"  Більшість значень тут\n",[5520,9103,9104],{"class":5522,"line":5684},[5520,9105,9106],{},"  Медіана\n",[5520,9108,9109],{"class":5522,"line":5690},[5520,9110,9111],{},"end note\n",[5520,9113,9114],{"class":5522,"line":5713},[5520,9115,5557],{"emptyLinePlaceholder":5556},[5520,9117,9118],{"class":5522,"line":5718},[5520,9119,9120],{},"note bottom of tail\n",[5520,9122,9123],{"class":5522,"line":5724},[5520,9124,9125],{},"  Рідкісні високі значення\n",[5520,9127,9128],{"class":5522,"line":5730},[5520,9129,9130],{},"  тягнуть середнє вправо\n",[5520,9132,9133],{"class":5522,"line":5736},[5520,9134,9135],{},"  Середнє >\n",[5520,9137,9138],{"class":5522,"line":5759},[5520,9139,9111],{},[5520,9141,9142],{"class":5522,"line":5764},[5520,9143,5557],{"emptyLinePlaceholder":5556},[5520,9145,9146],{"class":5522,"line":5770},[5520,9147,9148],{},"@enduml\n",[5266,9150,9151],{},[5221,9152,9003],{},[5198,9154,9155,9158,9161],{},[5201,9156,9157],{},"Зарплати (більшість низькі, CEO дуже високі)",[5201,9159,9160],{},"Ціни на житло (більшість доступні, елітне дороге)",[5201,9162,9163],{},"Доходи населення",[7063,9165,9167],{"id":9166},"лівостороння-асиметрія-left-skewed-negative-skew","Лівостороння асиметрія (Left-skewed \u002F Negative skew)",[5266,9169,9034,9170,9173],{},[5221,9171,9172],{},"зліва"," → Mean \u003C Median",[5266,9175,9176],{},[5221,9177,9003],{},[5198,9179,9180,9183],{},[5201,9181,9182],{},"Вік смерті в розвинутих країнах (більшість живе довго, рідко хтось помирає молодим)",[5201,9184,9185],{},"Оцінки на легкому іспиті (більшість високі, декілька низьких)",[5370,9187,9189],{"id":9188},"правило-інтерпретації","Правило інтерпретації",[6619,9191,9192,9197,9203],{},[5266,9193,9194],{},[5221,9195,9196],{},"Швидка діагностика асиметрії:",[5273,9198,9201],{"className":9199,"code":9200,"language":5278},[5276],"Mean = Median  →  Симетричний розподіл\nMean > Median  →  Правостороння асиметрія (довгий хвіст справа)\nMean \u003C Median  →  Лівостороння асиметрія (довгий хвіст зліва)\n",[5280,9202,9200],{"__ignoreMap":5282},[5266,9204,9205],{},"Якщо різниця між mean та median більша за 5–10% від медіани — розподіл суттєво асиметричний.",[5266,9207,9208],{},[5338,9209],{"alt":9210,"className":9211,"src":9212},"Взаємне розташування Mean, Median та Mode при різних формах розподілу",[5342],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency\u002F04.png",[5258,9214],{},[5261,9216,9218],{"id":9217},"практичний-приклад-аналіз-цін-на-житло","Практичний приклад: аналіз цін на житло",[5266,9220,9221],{},"Давайте застосуємо всі три міри до реального датасету:",[5497,9223,9225,9234,9575,9806],{"kernel":5499,"title":9224},"housing_analysis.ipynb",[5502,9226,9227,9231],{"type":5504},[5370,9228,9230],{"id":9229},"аналіз-цін-на-квартири-у-місті","Аналіз цін на квартири у місті",[5266,9232,9233],{},"Синтетичний датасет: 100 квартир",[5502,9235,9236,9567],{"execution-count":5511},[5273,9237,9239],{"className":5514,"code":9238,"language":5516,"meta":5282,"style":5282},"import numpy as np\nimport pandas as pd\n\nrng = np.random.default_rng(seed=123)\n\n# Генеруємо синтетичні дані про квартири\n# Більшість квартир: 1-2 млн грн (основна маса)\n# Декілька елітних: 5-10 млн грн (аутлайери)\nregular_apartments = rng.normal(1.5, 0.4, 90)  # 90 звичайних\nelite_apartments = rng.uniform(5, 10, 10)      # 10 елітних\n\nprices = np.concatenate([regular_apartments, elite_apartments])\nprices = np.clip(prices, 0.8, None)  # Мінімум 0.8 млн\n\n# Створюємо DataFrame\ndf = pd.DataFrame({'Ціна (млн грн)': prices})\n\n# Обчислюємо міри центру\nmean_price = df['Ціна (млн грн)'].mean()\nmedian_price = df['Ціна (млн грн)'].median()\n\nprint(\"Статистика цін на квартири:\")\nprint(f\"  Середнє:  {mean_price:.2f} млн грн\")\nprint(f\"  Медіана:  {median_price:.2f} млн грн\")\nprint(f\"  Різниця:  {mean_price - median_price:.2f} млн грн ({(mean_price - median_price) \u002F median_price * 100:.1f}%)\")\nprint(f\"\\n  Мінімум:  {df['Ціна (млн грн)'].min():.2f} млн грн\")\nprint(f\"  Максимум: {df['Ціна (млн грн)'].max():.2f} млн грн\")\n",[5280,9240,9241,9251,9261,9265,9278,9282,9287,9292,9297,9319,9340,9344,9349,9367,9371,9376,9387,9391,9396,9406,9416,9420,9431,9453,9475,9510,9541],{"__ignoreMap":5282},[5520,9242,9243,9245,9247,9249],{"class":5522,"line":5523},[5520,9244,5527],{"class":5526},[5520,9246,5531],{"class":5530},[5520,9248,5534],{"class":5526},[5520,9250,5537],{"class":5530},[5520,9252,9253,9255,9257,9259],{"class":5522,"line":5540},[5520,9254,5527],{"class":5526},[5520,9256,5545],{"class":5530},[5520,9258,5534],{"class":5526},[5520,9260,5550],{"class":5530},[5520,9262,9263],{"class":5522,"line":5553},[5520,9264,5557],{"emptyLinePlaceholder":5556},[5520,9266,9267,9269,9271,9273,9276],{"class":5522,"line":5560},[5520,9268,8168],{"class":5530},[5520,9270,8171],{"class":6987},[5520,9272,6991],{"class":5530},[5520,9274,9275],{"class":5573},"123",[5520,9277,5670],{"class":5530},[5520,9279,9280],{"class":5522,"line":5567},[5520,9281,5557],{"emptyLinePlaceholder":5556},[5520,9283,9284],{"class":5522,"line":5623},[5520,9285,9286],{"class":5563},"# Генеруємо синтетичні дані про квартири\n",[5520,9288,9289],{"class":5522,"line":5628},[5520,9290,9291],{"class":5563},"# Більшість квартир: 1-2 млн грн (основна маса)\n",[5520,9293,9294],{"class":5522,"line":5634},[5520,9295,9296],{"class":5563},"# Декілька елітних: 5-10 млн грн (аутлайери)\n",[5520,9298,9299,9302,9304,9306,9309,9311,9314,9316],{"class":5522,"line":5640},[5520,9300,9301],{"class":5530},"regular_apartments = rng.normal(",[5520,9303,7877],{"class":5573},[5520,9305,5577],{"class":5530},[5520,9307,9308],{"class":5573},"0.4",[5520,9310,5577],{"class":5530},[5520,9312,9313],{"class":5573},"90",[5520,9315,8266],{"class":5530},[5520,9317,9318],{"class":5563},"# 90 звичайних\n",[5520,9320,9321,9324,9326,9328,9330,9332,9334,9337],{"class":5522,"line":5673},[5520,9322,9323],{"class":5530},"elite_apartments = rng.uniform(",[5520,9325,7141],{"class":5573},[5520,9327,5577],{"class":5530},[5520,9329,7082],{"class":5573},[5520,9331,5577],{"class":5530},[5520,9333,7082],{"class":5573},[5520,9335,9336],{"class":5530},")      ",[5520,9338,9339],{"class":5563},"# 10 елітних\n",[5520,9341,9342],{"class":5522,"line":5678},[5520,9343,5557],{"emptyLinePlaceholder":5556},[5520,9345,9346],{"class":5522,"line":5684},[5520,9347,9348],{"class":5530},"prices = np.concatenate([regular_apartments, elite_apartments])\n",[5520,9350,9351,9354,9357,9359,9362,9364],{"class":5522,"line":5690},[5520,9352,9353],{"class":5530},"prices = np.clip(prices, ",[5520,9355,9356],{"class":5573},"0.8",[5520,9358,5577],{"class":5530},[5520,9360,9361],{"class":5650},"None",[5520,9363,8266],{"class":5530},[5520,9365,9366],{"class":5563},"# Мінімум 0.8 млн\n",[5520,9368,9369],{"class":5522,"line":5713},[5520,9370,5557],{"emptyLinePlaceholder":5556},[5520,9372,9373],{"class":5522,"line":5718},[5520,9374,9375],{"class":5563},"# Створюємо DataFrame\n",[5520,9377,9378,9381,9384],{"class":5522,"line":5724},[5520,9379,9380],{"class":5530},"df = pd.DataFrame({",[5520,9382,9383],{"class":5654},"'Ціна (млн грн)'",[5520,9385,9386],{"class":5530},": prices})\n",[5520,9388,9389],{"class":5522,"line":5730},[5520,9390,5557],{"emptyLinePlaceholder":5556},[5520,9392,9393],{"class":5522,"line":5736},[5520,9394,9395],{"class":5563},"# Обчислюємо міри центру\n",[5520,9397,9398,9401,9403],{"class":5522,"line":5759},[5520,9399,9400],{"class":5530},"mean_price = df[",[5520,9402,9383],{"class":5654},[5520,9404,9405],{"class":5530},"].mean()\n",[5520,9407,9408,9411,9413],{"class":5522,"line":5764},[5520,9409,9410],{"class":5530},"median_price = df[",[5520,9412,9383],{"class":5654},[5520,9414,9415],{"class":5530},"].median()\n",[5520,9417,9418],{"class":5522,"line":5770},[5520,9419,5557],{"emptyLinePlaceholder":5556},[5520,9421,9422,9424,9426,9429],{"class":5522,"line":5788},[5520,9423,5644],{"class":5643},[5520,9425,5647],{"class":5530},[5520,9427,9428],{"class":5654},"\"Статистика цін на квартири:\"",[5520,9430,5670],{"class":5530},[5520,9432,9433,9435,9437,9439,9442,9444,9447,9449,9451],{"class":5522,"line":8056},[5520,9434,5644],{"class":5643},[5520,9436,5647],{"class":5530},[5520,9438,5651],{"class":5650},[5520,9440,9441],{"class":5654},"\"  Середнє:  ",[5520,9443,5658],{"class":5650},[5520,9445,9446],{"class":5530},"mean_price",[5520,9448,7948],{"class":5650},[5520,9450,7951],{"class":5654},[5520,9452,5670],{"class":5530},[5520,9454,9455,9457,9459,9461,9464,9466,9469,9471,9473],{"class":5522,"line":8082},[5520,9456,5644],{"class":5643},[5520,9458,5647],{"class":5530},[5520,9460,5651],{"class":5650},[5520,9462,9463],{"class":5654},"\"  Медіана:  ",[5520,9465,5658],{"class":5650},[5520,9467,9468],{"class":5530},"median_price",[5520,9470,7948],{"class":5650},[5520,9472,7951],{"class":5654},[5520,9474,5670],{"class":5530},[5520,9476,9477,9479,9481,9483,9486,9488,9491,9493,9496,9498,9501,9503,9505,9508],{"class":5522,"line":8391},[5520,9478,5644],{"class":5643},[5520,9480,5647],{"class":5530},[5520,9482,5651],{"class":5650},[5520,9484,9485],{"class":5654},"\"  Різниця:  ",[5520,9487,5658],{"class":5650},[5520,9489,9490],{"class":5530},"mean_price - median_price",[5520,9492,7948],{"class":5650},[5520,9494,9495],{"class":5654}," млн грн (",[5520,9497,5658],{"class":5650},[5520,9499,9500],{"class":5530},"(mean_price - median_price) \u002F median_price * ",[5520,9502,6045],{"class":5573},[5520,9504,5664],{"class":5650},[5520,9506,9507],{"class":5654},"%)\"",[5520,9509,5670],{"class":5530},[5520,9511,9512,9514,9516,9518,9520,9522,9525,9527,9530,9532,9535,9537,9539],{"class":5522,"line":8396},[5520,9513,5644],{"class":5643},[5520,9515,5647],{"class":5530},[5520,9517,5651],{"class":5650},[5520,9519,7007],{"class":5654},[5520,9521,7011],{"class":7010},[5520,9523,9524],{"class":5654},"  Мінімум:  ",[5520,9526,5658],{"class":5650},[5520,9528,9529],{"class":5530},"df[",[5520,9531,9383],{"class":5654},[5520,9533,9534],{"class":5530},"].min()",[5520,9536,7948],{"class":5650},[5520,9538,7951],{"class":5654},[5520,9540,5670],{"class":5530},[5520,9542,9543,9545,9547,9549,9552,9554,9556,9558,9561,9563,9565],{"class":5522,"line":8452},[5520,9544,5644],{"class":5643},[5520,9546,5647],{"class":5530},[5520,9548,5651],{"class":5650},[5520,9550,9551],{"class":5654},"\"  Максимум: ",[5520,9553,5658],{"class":5650},[5520,9555,9529],{"class":5530},[5520,9557,9383],{"class":5654},[5520,9559,9560],{"class":5530},"].max()",[5520,9562,7948],{"class":5650},[5520,9564,7951],{"class":5654},[5520,9566,5670],{"class":5530},[5810,9568,9569],{"v-slot:output":5282},[5273,9570,9573],{"className":9571,"code":9572,"language":5278},[5276],"Статистика цін на квартири:\n  Середнє:  2.24 млн грн\n  Медіана:  1.52 млн грн\n  Різниця:  0.72 млн грн (47.4%)\n\n  Мінімум:  0.83 млн грн\n  Максимум: 9.87 млн грн\n",[5280,9574,9572],{"__ignoreMap":5282},[5502,9576,9577,9798],{"execution-count":6450},[5273,9578,9580],{"className":5514,"code":9579,"language":5516,"meta":5282,"style":5282},"# Аналіз розподілу\nprint(\"Розподіл квартир за ціновими сегментами:\")\nprint(f\"  До 2 млн грн:    {(df['Ціна (млн грн)'] \u003C 2).sum()} квартир ({(df['Ціна (млн грн)'] \u003C 2).mean() * 100:.0f}%)\")\nprint(f\"  Від 2 до 4 млн:  {((df['Ціна (млн грн)'] >= 2) & (df['Ціна (млн грн)'] \u003C 4)).sum()} квартир\")\nprint(f\"  Понад 4 млн:     {(df['Ціна (млн грн)'] >= 4).sum()} квартир (елітний сегмент)\")\n\nprint(\"\\nВисновок:\")\nprint(f\"  Медіана ({median_price:.2f} млн) краще відображає 'типову' ціну,\")\nprint(f\"  бо 90% квартир коштують до 2 млн грн.\")\nprint(f\"  Середнє ({mean_price:.2f} млн) завищене через елітне житло.\")\n",[5280,9581,9582,9587,9598,9650,9692,9722,9726,9741,9763,9776],{"__ignoreMap":5282},[5520,9583,9584],{"class":5522,"line":5523},[5520,9585,9586],{"class":5563},"# Аналіз розподілу\n",[5520,9588,9589,9591,9593,9596],{"class":5522,"line":5540},[5520,9590,5644],{"class":5643},[5520,9592,5647],{"class":5530},[5520,9594,9595],{"class":5654},"\"Розподіл квартир за ціновими сегментами:\"",[5520,9597,5670],{"class":5530},[5520,9599,9600,9602,9604,9606,9609,9611,9614,9616,9619,9621,9624,9626,9629,9631,9633,9635,9637,9639,9642,9644,9646,9648],{"class":5522,"line":5553},[5520,9601,5644],{"class":5643},[5520,9603,5647],{"class":5530},[5520,9605,5651],{"class":5650},[5520,9607,9608],{"class":5654},"\"  До 2 млн грн:    ",[5520,9610,5658],{"class":5650},[5520,9612,9613],{"class":5530},"(df[",[5520,9615,9383],{"class":5654},[5520,9617,9618],{"class":5530},"] \u003C ",[5520,9620,6450],{"class":5573},[5520,9622,9623],{"class":5530},").sum()",[5520,9625,7044],{"class":5650},[5520,9627,9628],{"class":5654}," квартир (",[5520,9630,5658],{"class":5650},[5520,9632,9613],{"class":5530},[5520,9634,9383],{"class":5654},[5520,9636,9618],{"class":5530},[5520,9638,6450],{"class":5573},[5520,9640,9641],{"class":5530},").mean() * ",[5520,9643,6045],{"class":5573},[5520,9645,6048],{"class":5650},[5520,9647,9507],{"class":5654},[5520,9649,5670],{"class":5530},[5520,9651,9652,9654,9656,9658,9661,9663,9666,9668,9671,9673,9676,9678,9680,9682,9685,9687,9690],{"class":5522,"line":5560},[5520,9653,5644],{"class":5643},[5520,9655,5647],{"class":5530},[5520,9657,5651],{"class":5650},[5520,9659,9660],{"class":5654},"\"  Від 2 до 4 млн:  ",[5520,9662,5658],{"class":5650},[5520,9664,9665],{"class":5530},"((df[",[5520,9667,9383],{"class":5654},[5520,9669,9670],{"class":5530},"] >= ",[5520,9672,6450],{"class":5573},[5520,9674,9675],{"class":5530},") & (df[",[5520,9677,9383],{"class":5654},[5520,9679,9618],{"class":5530},[5520,9681,7132],{"class":5573},[5520,9683,9684],{"class":5530},")).sum()",[5520,9686,7044],{"class":5650},[5520,9688,9689],{"class":5654}," квартир\"",[5520,9691,5670],{"class":5530},[5520,9693,9694,9696,9698,9700,9703,9705,9707,9709,9711,9713,9715,9717,9720],{"class":5522,"line":5567},[5520,9695,5644],{"class":5643},[5520,9697,5647],{"class":5530},[5520,9699,5651],{"class":5650},[5520,9701,9702],{"class":5654},"\"  Понад 4 млн:     ",[5520,9704,5658],{"class":5650},[5520,9706,9613],{"class":5530},[5520,9708,9383],{"class":5654},[5520,9710,9670],{"class":5530},[5520,9712,7132],{"class":5573},[5520,9714,9623],{"class":5530},[5520,9716,7044],{"class":5650},[5520,9718,9719],{"class":5654}," квартир (елітний сегмент)\"",[5520,9721,5670],{"class":5530},[5520,9723,9724],{"class":5522,"line":5623},[5520,9725,5557],{"emptyLinePlaceholder":5556},[5520,9727,9728,9730,9732,9734,9736,9739],{"class":5522,"line":5628},[5520,9729,5644],{"class":5643},[5520,9731,5647],{"class":5530},[5520,9733,7007],{"class":5654},[5520,9735,7011],{"class":7010},[5520,9737,9738],{"class":5654},"Висновок:\"",[5520,9740,5670],{"class":5530},[5520,9742,9743,9745,9747,9749,9752,9754,9756,9758,9761],{"class":5522,"line":5634},[5520,9744,5644],{"class":5643},[5520,9746,5647],{"class":5530},[5520,9748,5651],{"class":5650},[5520,9750,9751],{"class":5654},"\"  Медіана (",[5520,9753,5658],{"class":5650},[5520,9755,9468],{"class":5530},[5520,9757,7948],{"class":5650},[5520,9759,9760],{"class":5654}," млн) краще відображає 'типову' ціну,\"",[5520,9762,5670],{"class":5530},[5520,9764,9765,9767,9769,9771,9774],{"class":5522,"line":5640},[5520,9766,5644],{"class":5643},[5520,9768,5647],{"class":5530},[5520,9770,5651],{"class":5650},[5520,9772,9773],{"class":5654},"\"  бо 90% квартир коштують до 2 млн грн.\"",[5520,9775,5670],{"class":5530},[5520,9777,9778,9780,9782,9784,9787,9789,9791,9793,9796],{"class":5522,"line":5673},[5520,9779,5644],{"class":5643},[5520,9781,5647],{"class":5530},[5520,9783,5651],{"class":5650},[5520,9785,9786],{"class":5654},"\"  Середнє (",[5520,9788,5658],{"class":5650},[5520,9790,9446],{"class":5530},[5520,9792,7948],{"class":5650},[5520,9794,9795],{"class":5654}," млн) завищене через елітне житло.\"",[5520,9797,5670],{"class":5530},[5810,9799,9800],{"v-slot:output":5282},[5273,9801,9804],{"className":9802,"code":9803,"language":5278},[5276],"Розподіл квартир за ціновими сегментами:\n  До 2 млн грн:    85 квартир (85%)\n  Від 2 до 4 млн:  5 квартир\n  Понад 4 млн:     10 квартир (елітний сегмент)\n\nВисновок:\n  Медіана (1.52 млн) краще відображає 'типову' ціну,\n  бо 90% квартир коштують до 2 млн грн.\n  Середнє (2.24 млн) завищене через елітне житло.\n",[5280,9805,9803],{"__ignoreMap":5282},[5266,9807,9808],{},[5338,9809],{"alt":9810,"className":9811,"src":9812},"Розподіл цін на 100 квартир у місті: Медіана vs Середнє",[5342],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency\u002F05.png",[6073,9814,9815,9818,9819,9821],{},[5221,9816,9817],{},"Практичний урок:"," Якщо ви шукаєте квартиру і бачите в оголошенні «середня ціна у районі 2.24 млн грн», не панікуйте. ",[5221,9820,5234],{}," показує, що більшість квартир насправді коштують біля 1.5 млн. Це і є типова ціна для звичайного покупця.",[5258,9823],{},[5261,9825,9827],{"id":9826},"практичні-завдання","Практичні завдання",[5370,9829,9831],{"id":9830},"рівень-1-базові-вправи","Рівень 1: Базові вправи",[9833,9834,9835,9884,9911],"accordion",{},[9836,9837,9839,9842,9848,9851,9861,9866],"accordion-item",{"icon":2990,"label":9838},"Завдання 1.1: Порахуй три міри вручну",[5266,9840,9841],{},"Дано оцінки 7 студентів за тест (за 12-бальною шкалою):",[5273,9843,9846],{"className":9844,"code":9845,"language":5278},[5276],"8, 10, 10, 11, 12, 12, 12\n",[5280,9847,9845],{"__ignoreMap":5282},[5266,9849,9850],{},"Без використання NumPy\u002Fpandas (тільки вбудовані функції Python), обчисліть:",[5424,9852,9853,9855,9858],{},[5201,9854,5223],{},[5201,9856,9857],{},"Медіану",[5201,9859,9860],{},"Моду",[5266,9862,9863],{},[5221,9864,9865],{},"Підказка:",[5198,9867,9868,9874,9877],{},[5201,9869,9870,9871],{},"Середнє: ",[5280,9872,9873],{},"sum(grades) \u002F len(grades)",[5201,9875,9876],{},"Медіана: відсортуйте список, візьміть центральний елемент",[5201,9878,9879,9880,9883],{},"Мода: використайте ",[5280,9881,9882],{},"collections.Counter"," для підрахунку частот",[9836,9885,9888,9891,9897,9900],{"icon":9886,"label":9887},"i-lucide-alert-circle","Завдання 1.2: Вплив аутлайера",[5266,9889,9890],{},"Дано витрати студента на обіди за тиждень (у гривнях):",[5273,9892,9895],{"className":9893,"code":9894,"language":5278},[5276],"80, 75, 90, 85, 80, 95, 500\n",[5280,9896,9894],{"__ignoreMap":5282},[5266,9898,9899],{},"Останнє значення (500 грн) — це день народження, коли студент частував друзів.",[5424,9901,9902,9905,9908],{},[5201,9903,9904],{},"Обчисліть середнє та медіану з усіма даними",[5201,9906,9907],{},"Обчисліть середнє та медіану без аутлайера (500)",[5201,9909,9910],{},"Яка міра краще описує типові витрати студента?",[9836,9912,9915,9918,9922],{"icon":9913,"label":9914},"i-lucide-tag","Завдання 1.3: Категоріальна мода",[5266,9916,9917],{},"Створіть список із 20 випадкових розмірів футболок (XS, S, M, L, XL). Знайдіть найпопулярніший розмір.",[5266,9919,9920],{},[5221,9921,9865],{},[5273,9923,9925],{"className":5514,"code":9924,"language":5516,"meta":5282,"style":5282},"import numpy as np\n\nrng = np.random.default_rng(42)\nsizes = rng.choice(['XS', 'S', 'M', 'L', 'XL'], size=20)\n",[5280,9926,9927,9937,9941,9949],{"__ignoreMap":5282},[5520,9928,9929,9931,9933,9935],{"class":5522,"line":5523},[5520,9930,5527],{"class":5526},[5520,9932,5531],{"class":5530},[5520,9934,5534],{"class":5526},[5520,9936,5537],{"class":5530},[5520,9938,9939],{"class":5522,"line":5540},[5520,9940,5557],{"emptyLinePlaceholder":5556},[5520,9942,9943,9945,9947],{"class":5522,"line":5553},[5520,9944,8168],{"class":5530},[5520,9946,8176],{"class":5573},[5520,9948,5670],{"class":5530},[5520,9950,9951,9954,9957,9959,9962,9964,9967,9969,9972,9974,9977,9980,9983,9985,9987],{"class":5522,"line":5560},[5520,9952,9953],{"class":5530},"sizes = rng.choice([",[5520,9955,9956],{"class":5654},"'XS'",[5520,9958,5577],{"class":5530},[5520,9960,9961],{"class":5654},"'S'",[5520,9963,5577],{"class":5530},[5520,9965,9966],{"class":5654},"'M'",[5520,9968,5577],{"class":5530},[5520,9970,9971],{"class":5654},"'L'",[5520,9973,5577],{"class":5530},[5520,9975,9976],{"class":5654},"'XL'",[5520,9978,9979],{"class":5530},"], ",[5520,9981,9982],{"class":6987},"size",[5520,9984,6991],{"class":5530},[5520,9986,7087],{"class":5573},[5520,9988,5670],{"class":5530},[5258,9990],{},[5370,9992,9994],{"id":9993},"рівень-2-алгоритмічні-задачі","Рівень 2: Алгоритмічні задачі",[9833,9996,9997,10018,10053],{},[9836,9998,10001,10004],{"icon":9999,"label":10000},"i-lucide-graduation-cap","Завдання 2.1: Аналіз успішності класу",[5266,10002,10003],{},"Створіть DataFrame із 30 студентами. У кожного є оцінки з трьох предметів (випадкові числа від 60 до 100).",[5424,10005,10006,10009,10012,10015],{},[5201,10007,10008],{},"Обчисліть середню оцінку кожного студента",[5201,10010,10011],{},"Знайдіть медіану та середнє по кожному предмету",[5201,10013,10014],{},"Визначте, які предмети мають симетричний розподіл оцінок (mean ≈ median), а які — асиметричний",[5201,10016,10017],{},"Побудуйте гістограми для кожного предмета з позначенням mean та median",[9836,10019,10022,10025,10039,10042],{"icon":10020,"label":10021},"i-lucide-building","Завдання 2.2: Порівняння міст за зарплатами",[5266,10023,10024],{},"Згенеруйте синтетичні дані про зарплати для двох міст:",[5198,10026,10027,10033],{},[5201,10028,10029,10032],{},[5221,10030,10031],{},"Місто A:"," нормальний розподіл, середнє 30 000, σ=5000, розмір вибірки 100",[5201,10034,10035,10038],{},[5221,10036,10037],{},"Місто B:"," 90 зарплат з нормального розподілу (25 000, σ=4000) + 10 зарплат із uniform(80 000, 150 000)",[5266,10040,10041],{},"Для кожного міста обчисліть:",[5424,10043,10044,10047,10050],{},[5201,10045,10046],{},"Mean, Median",[5201,10048,10049],{},"Різницю між ними у відсотках",[5201,10051,10052],{},"Зробіть висновок: у якому місті розподіл більш асиметричний?",[9836,10054,10056,10063,10084,10087],{"icon":3194,"label":10055},"Завдання 2.3: Функція вибору міри центру",[5266,10057,10058,10059,10062],{},"Напишіть функцію ",[5280,10060,10061],{},"best_central_measure(data, threshold=0.1)",", яка:",[5424,10064,10065,10068,10078],{},[5201,10066,10067],{},"Обчислює mean та median",[5201,10069,10070,10071,10074,10075,10077],{},"Якщо різниця між ними менша за ",[5280,10072,10073],{},"threshold * median",", повертає ",[5221,10076,5228],{}," (дані симетричні)",[5201,10079,10080,10081,10083],{},"Інакше повертає ",[5221,10082,5237],{}," (дані асиметричні)",[5266,10085,10086],{},"Протестуйте на різних даних:",[5273,10088,10090],{"className":5514,"code":10089,"language":5516,"meta":5282,"style":5282},"symmetric_data = [10, 12, 13, 14, 15, 16, 17, 18, 20]\nskewed_data = [10, 12, 13, 14, 15, 16, 17, 18, 100]\n",[5280,10091,10092,10138],{"__ignoreMap":5282},[5520,10093,10094,10097,10099,10101,10104,10106,10109,10111,10113,10115,10117,10119,10122,10124,10127,10129,10132,10134,10136],{"class":5522,"line":5523},[5520,10095,10096],{"class":5530},"symmetric_data = [",[5520,10098,7082],{"class":5573},[5520,10100,5577],{"class":5530},[5520,10102,10103],{"class":5573},"12",[5520,10105,5577],{"class":5530},[5520,10107,10108],{"class":5573},"13",[5520,10110,5577],{"class":5530},[5520,10112,8304],{"class":5573},[5520,10114,5577],{"class":5530},[5520,10116,8204],{"class":5573},[5520,10118,5577],{"class":5530},[5520,10120,10121],{"class":5573},"16",[5520,10123,5577],{"class":5530},[5520,10125,10126],{"class":5573},"17",[5520,10128,5577],{"class":5530},[5520,10130,10131],{"class":5573},"18",[5520,10133,5577],{"class":5530},[5520,10135,7087],{"class":5573},[5520,10137,7370],{"class":5530},[5520,10139,10140,10143,10145,10147,10149,10151,10153,10155,10157,10159,10161,10163,10165,10167,10169,10171,10173,10175,10177],{"class":5522,"line":5540},[5520,10141,10142],{"class":5530},"skewed_data = [",[5520,10144,7082],{"class":5573},[5520,10146,5577],{"class":5530},[5520,10148,10103],{"class":5573},[5520,10150,5577],{"class":5530},[5520,10152,10108],{"class":5573},[5520,10154,5577],{"class":5530},[5520,10156,8304],{"class":5573},[5520,10158,5577],{"class":5530},[5520,10160,8204],{"class":5573},[5520,10162,5577],{"class":5530},[5520,10164,10121],{"class":5573},[5520,10166,5577],{"class":5530},[5520,10168,10126],{"class":5573},[5520,10170,5577],{"class":5530},[5520,10172,10131],{"class":5573},[5520,10174,5577],{"class":5530},[5520,10176,6045],{"class":5573},[5520,10178,7370],{"class":5530},[5258,10180],{},[5370,10182,10184],{"id":10183},"рівень-3-проєктні-завдання","Рівень 3: Проєктні завдання",[9833,10186,10187,10219,10257],{},[9836,10188,10191,10198],{"icon":10189,"label":10190},"i-lucide-ship","Завдання 3.1: Аналізатор датасету Titanic",[5266,10192,10193,10194,10197],{},"Завантажте датасет Titanic (доступний у seaborn або онлайн). Проаналізуйте стовпець ",[5280,10195,10196],{},"Age"," (вік пасажирів):",[5424,10199,10200,10203,10206,10209,10212],{},[5201,10201,10202],{},"Обчисліть mean, median, mode для віку",[5201,10204,10205],{},"Побудуйте гістограму з позначенням цих трьох мір",[5201,10207,10208],{},"Визначте тип асиметрії (якщо є)",[5201,10210,10211],{},"Порівняйте вік пасажирів різних класів (1st, 2nd, 3rd) — для якого класу розподіл найбільш асиметричний?",[5201,10213,10214,10215,10218],{},"Проаналізуйте стовпець ",[5280,10216,10217],{},"Fare"," (вартість квитка) — чому середнє та медіана сильно відрізняються?",[9836,10220,10223,10226,10240,10243],{"icon":10221,"label":10222},"i-lucide-flask","Завдання 3.2: Симулятор A\u002FB тесту",[5266,10224,10225],{},"Компанія тестує дві версії сайту:",[5198,10227,10228,10234],{},[5201,10229,10230,10233],{},[5221,10231,10232],{},"Версія A:"," час на сторінці — нормальний розподіл (mean=120 сек, σ=30)",[5201,10235,10236,10239],{},[5221,10237,10238],{},"Версія B:"," час на сторінці — нормальний розподіл (mean=140 сек, σ=35)",[5266,10241,10242],{},"Згенеруйте по 200 відвідувачів для кожної версії.",[5424,10244,10245,10248,10251,10254],{},[5201,10246,10247],{},"Обчисліть mean та median для кожної",[5201,10249,10250],{},"Чи можна впевнено сказати, що версія B краща? (підказка: порівняйте не тільки центр, а й розкид даних)",[5201,10252,10253],{},"Побудуйте два графіки поруч (гістограми) з позначенням мір центру",[5201,10255,10256],{},"Додайте 5% «швидких користувачів» (5–10 сек) до версії B — як це вплине на mean та median?",[9836,10258,10261,10268,10274],{"icon":10259,"label":10260},"i-lucide-file-text","Завдання 3.3: Генератор звітів про дані",[5266,10262,10263,10264,10267],{},"Створіть функцію ",[5280,10265,10266],{},"generate_report(data, column_name)",", яка приймає pandas DataFrame та назву стовпця і генерує текстовий звіт:",[5273,10269,10272],{"className":10270,"code":10271,"language":5278},[5276],"Звіт про стовпець 'Salary'\n════════════════════════════════\nТип даних:        float64\nКількість значень: 100\nПропусків:        0\n\nМіри центральної тенденції:\n  Середнє:   45,230 грн\n  Медіана:   42,100 грн\n  Мода:      40,000 грн\n\nАналіз асиметрії:\n  Різниця (Mean - Median): 3,130 грн (7.4%)\n  Висновок: Дані мають помірну правосторонню\n            асиметрію. Рекомендується використовувати\n            медіану для опису типового значення.\n\nРекомендація: MEDIAN\n",[5280,10273,10271],{"__ignoreMap":5282},[5266,10275,10276],{},"Функція має автоматично визначати тип асиметрії та давати рекомендацію щодо використання міри.",[5258,10278],{},[5261,10280,10282],{"id":10281},"часті-запитання-та-типові-пастки-faq","Часті запитання та типові пастки (FAQ)",[9833,10284,10285],{},[9836,10286,10289,10305,10311],{"icon":10287,"label":10288},"i-lucide-help-circle","❓ Що робити з медіаною, якщо вибірка містить парну кількість елементів і центральні значення різні?",[5266,10290,10291,10292,10294,10295,10298,10299,6267,10302,5491],{},"Якщо кількість спостережень ",[5291,10293],{"tex":5407,":inline":5380}," є парною (наприклад, ",[5291,10296],{"tex":10297,":inline":5380},"n = 10","), у відсортованому масиві немає одного фізичного елемента точно посередині. Замість нього є два центральні елементи на позиціях ",[5291,10300],{"tex":10301,":inline":5380},"n\u002F2",[5291,10303],{"tex":10304,":inline":5380},"n\u002F2 + 1",[5266,10306,10307,10308,5289],{},"У такому випадку медіаною за стандартом вважається ",[5221,10309,10310],{},"середнє арифметичне цих двох сусідніх елементів",[5291,10312],{"tex":10313},"\\text{Median} = \\frac{x_{(n\u002F2)} + x_{(n\u002F2 + 1)}}{2}",[5266,10315,10316,10317,10320,10321,5491],{},"Наприклад, для відсортованого ряду ",[5280,10318,10319],{},"[10, 20, 30, 45]"," центральними є 20 і 30, тому медіана дорівнює ",[5291,10322],{"tex":10323,":inline":5380},"(20 + 30) \u002F 2 = 25",[5266,10325,10326],{},"::",[9836,10328,10330,10337],{"icon":10287,"label":10329},"❓ Чому сайти вакансій та аналітики IT-ринку завжди публікують медіанну зарплату, а не середню?",[5266,10331,10332,10333,10336],{},"Розподіл доходів у будь-якій галузі має виражену ",[5221,10334,10335],{},"правосторонню асиметрію (Right-Skewed)",". Більшість фахівців (Junior, Middle) отримують типові для ринку суми, але кілька топ-менеджерів, фаундерів або сеньйорів вузьких спеціалізацій отримують у 5–10 разів більше.",[5266,10338,10339],{},"Якби ресурси публікували середнє арифметичне, ці поодинокі високі зарплати змістили б центр угору (наприклад, до 95 000 грн замість типових 50 000 грн), створюючи хибне враження про \"норму\" для більшості кандидатів. Медіана захищена від впливу цих верхніх екстремумів.",[9836,10341,10343,10356,10362],{"icon":10287,"label":10342},"❓ Як знайти моду для неперервної ознаки, якщо всі числа в стовпці унікальні?",[5266,10344,10345,10346,5577,10349,5577,10352,10355],{},"Для неперервних дійсних чисел (наприклад, зріст ",[5280,10347,10348],{},"178.43",[5280,10350,10351],{},"178.49",[5280,10353,10354],{},"181.12",") кожне значення часто зустрічається рівно 1 раз. Функція пошуку точної моди поверне помилку або перше-ліпше число.",[5266,10357,10358,10359,5289],{},"Щоб знайти моду в неперервних даних, застосовують ",[5221,10360,10361],{},"біннінг (binning)",[5424,10363,10364,10367,10370,10379],{},[5201,10365,10366],{},"Числовий діапазон розбивають на інтервали (кошики), як під час побудови гістограми.",[5201,10368,10369],{},"Підраховують кількість спостережень у кожному кошику.",[5201,10371,10372,10373,5224,10376,5328],{},"Кошик із найбільшою кількістю спостережень називається ",[5221,10374,10375],{},"модальним інтервалом",[5226,10377,10378],{},"modal interval",[5201,10380,10381],{},"Або оцінюють пік функції щільності ймовірності (KDE — Kernel Density Estimation).",[9836,10383,10385,10388],{"icon":10287,"label":10384},"❓ Що обрати для заповнення пропусків (Imputation) у колонці: Mean чи Median?",[5266,10386,10387],{},"Золоте правило інженерії даних:",[5198,10389,10390,10397],{},[5201,10391,10392,10393,10396],{},"Якщо ознака симетрична і не містить викидів (наприклад, вага деталей на автоматизованому заводі) — заповнюйте ",[5221,10394,10395],{},"середнім (Mean)",", це зберігає загальну суму значень стовпця.",[5201,10398,10399,10400,10403],{},"Якщо ознака асиметрична або містить викиди (зарплати, ціни на нерухомість, час завантаження сторінки) — обов'язково заповнюйте ",[5221,10401,10402],{},"медіаною (Median)",". Заповнення середнім у скошених даних створить штучні неіснуючі викривлення, які погіршать точність машинного навчання.",[5266,10405,10326],{},[5258,10407],{},[5261,10409,10411],{"id":10410},"резюме-ключові-takeaways","Резюме: ключові takeaways",[5190,10413,10414,10455,10493,10532,10548,10584],{},[5193,10415,10417,10423,10428,10436,10441,10449],{"icon":10416,"title":7509},"i-lucide-sigma",[5266,10418,10419,10422],{},[5221,10420,10421],{},"Формула:"," сума \u002F кількість",[5266,10424,10425],{},[5221,10426,10427],{},"Переваги:",[5198,10429,10430,10433],{},[5201,10431,10432],{},"Використовує всі дані",[5201,10434,10435],{},"Математично зручне для подальших обчислень",[5266,10437,10438],{},[5221,10439,10440],{},"Недоліки:",[5198,10442,10443,10446],{},[5201,10444,10445],{},"Дуже чутливе до аутлайерів",[5201,10447,10448],{},"Може не відображати «типове» значення",[5266,10450,10451,10454],{},[5221,10452,10453],{},"Коли використовувати:"," симетричні розподіли без аутлайерів",[5193,10456,10458,10464,10468,10476,10480,10488],{"icon":10457,"title":6136},"i-lucide-move-vertical",[5266,10459,10460,10463],{},[5221,10461,10462],{},"Визначення:"," центральне значення відсортованого ряду",[5266,10465,10466],{},[5221,10467,10427],{},[5198,10469,10470,10473],{},[5201,10471,10472],{},"Стійка до аутлайерів",[5201,10474,10475],{},"Завжди відображає «типове» значення (50-й перцентиль)",[5266,10477,10478],{},[5221,10479,10440],{},[5198,10481,10482,10485],{},[5201,10483,10484],{},"Ігнорує величину крайніх значень",[5201,10486,10487],{},"Важче обчислювати математично",[5266,10489,10490,10492],{},[5221,10491,10453],{}," асиметричні розподіли, наявність аутлайерів",[5193,10494,10496,10501,10505,10515,10519,10527],{"icon":10495,"title":6657},"i-lucide-bar-chart-2",[5266,10497,10498,10500],{},[5221,10499,10462],{}," найчастіше значення",[5266,10502,10503],{},[5221,10504,10427],{},[5198,10506,10507,10510,10513],{},[5201,10508,10509],{},"Єдина міра для категоріальних даних",[5201,10511,10512],{},"Показує «найпопулярніше» значення",[5201,10514,10472],{},[5266,10516,10517],{},[5221,10518,10440],{},[5198,10520,10521,10524],{},[5201,10522,10523],{},"Може не існувати або бути декілька",[5201,10525,10526],{},"Ігнорує всі дані, окрім частот",[5266,10528,10529,10531],{},[5221,10530,10453],{}," категоріальні дані, пошук піків розподілу",[5193,10533,10536,10542],{"icon":10534,"title":10535},"i-lucide-trending-up","Діагностика асиметрії",[5273,10537,10540],{"className":10538,"code":10539,"language":5278},[5276],"Mean = Median  →  Симетричний\nMean > Median  →  Правий хвіст\nMean \u003C Median  →  Лівий хвіст\n",[5280,10541,10539],{"__ignoreMap":5282},[5266,10543,10544,10545,5491],{},"Якщо різниця >5–10% — розподіл асиметричний, використовуйте ",[5221,10546,10547],{},"медіану",[5193,10549,10552,10557,10578],{"icon":10550,"title":10551},"i-lucide-lightbulb","Практичне правило",[5266,10553,10554],{},[5221,10555,10556],{},"У реальних даних:",[5198,10558,10559,10564,10572],{},[5201,10560,10561,10562],{},"Зарплати, ціни, доходи → ",[5221,10563,5349],{},[5201,10565,10566,10567,10569,10570],{},"Зріст, вага, температура → ",[5221,10568,5288],{}," або ",[5221,10571,5349],{},[5201,10573,10574,10575],{},"Категорії, рейтинги → ",[5221,10576,10577],{},"мода",[5266,10579,10580,10583],{},[5221,10581,10582],{},"Золоте правило:"," Спочатку побудуйте гістограму та порівняйте mean vs median. Це покаже, яку міру обрати.",[5193,10585,10588,10591],{"icon":10586,"title":10587},"i-lucide-brain-circuit","Зв'язок із ML",[5266,10589,10590],{},"Міри центру використовуються в ML для:",[5198,10592,10593,10599,10605,10611],{},[5201,10594,10595,10598],{},[5221,10596,10597],{},"Імпутації пропусків"," (заповнення середнім\u002Fмедіаною)",[5201,10600,10601,10604],{},[5221,10602,10603],{},"Нормалізації даних"," (віднімання середнього)",[5201,10606,10607,10610],{},[5221,10608,10609],{},"Виявлення аномалій"," (відхилення від центру)",[5201,10612,10613,10616],{},[5221,10614,10615],{},"Інтерпретації результатів"," (типова помилка моделі)",[5258,10618],{},[5261,10620,10622],{"id":10621},"що-далі","Що далі?",[5266,10624,10625],{},"Ви опанували три основні міри центральної тенденції. Тепер ви розумієте, як знайти «типове» значення в даних. Але це лише половина історії.",[5266,10627,10628],{},"Уявіть два набори чисел:",[5198,10630,10631,10641],{},[5201,10632,10633,10636,10637,10640],{},[5221,10634,10635],{},"Набір A:"," ",[5280,10638,10639],{},"[49, 50, 50, 50, 51]"," → середнє = 50",[5201,10642,10643,10636,10646,10640],{},[5221,10644,10645],{},"Набір B:",[5280,10647,10648],{},"[10, 30, 50, 70, 90]",[5266,10650,10651,10652,10655],{},"Середнє однакове, але дані ",[5221,10653,10654],{},"зовсім різні","! У наборі A всі значення дуже близькі до центру. У наборі B — розкидані по всьому діапазону.",[5266,10657,10658,10659,10662,10663,10666],{},"Для опису цієї ",[5221,10660,10661],{},"розкиданості"," потрібні інші міри — ",[5221,10664,10665],{},"міри варіації"," (дисперсія, стандартне відхилення, розмах, IQR). Про них ми поговоримо в наступній статті.",[6619,10668,10669,10670,10673],{},"💡 ",[5221,10671,10672],{},"Порада для закріплення:"," Відкрийте будь-який публічний датасет (Kaggle, UCI Machine Learning Repository) і проаналізуйте його числові стовпці. Для кожного обчисліть mean, median та mode. Побудуйте гістограми. Визначте тип асиметрії. Зробіть висновки про те, яка міра найкраща для кожного стовпця. Це найкращий спосіб перетворити теорію на практичну навичку.",[10675,10676,10677],"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 .s8Opu, html code.shiki .s8Opu{--shiki-light:#795E26;--shiki-default:#DCDCAA;--shiki-dark:#DCDCAA}html pre.shiki code .su1O8, html code.shiki .su1O8{--shiki-light:#0000FF;--shiki-default:#569CD6;--shiki-dark:#569CD6}html pre.shiki code .sbdoH, html code.shiki .sbdoH{--shiki-light:#A31515;--shiki-default:#CE9178;--shiki-dark:#CE9178}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 .siwwj, html code.shiki .siwwj{--shiki-light:#001080;--shiki-default:#9CDCFE;--shiki-dark:#9CDCFE}html pre.shiki code .sjcCO, html code.shiki .sjcCO{--shiki-light:#EE0000;--shiki-default:#D7BA7D;--shiki-dark:#D7BA7D}",{"title":5282,"searchDepth":5540,"depth":5540,"links":10679},[10680,10681,10687,10691,10697,10700,10701,10706,10707,10712,10713,10714],{"id":5263,"depth":5540,"text":5264},{"id":5359,"depth":5540,"text":5360,"children":10682},[10683,10684,10685,10686],{"id":5372,"depth":5553,"text":5373},{"id":5494,"depth":5553,"text":5495},{"id":5820,"depth":5553,"text":5821},{"id":6096,"depth":5553,"text":6097},{"id":6135,"depth":5540,"text":6136,"children":10688},[10689,10690],{"id":6146,"depth":5553,"text":6147},{"id":6274,"depth":5553,"text":6275},{"id":6656,"depth":5540,"text":6657,"children":10692},[10693,10694,10695,10696],{"id":6671,"depth":5553,"text":6672},{"id":6760,"depth":5553,"text":6761},{"id":7060,"depth":5553,"text":7061},{"id":7447,"depth":5553,"text":7448},{"id":7492,"depth":5540,"text":7493,"children":10698},[10699],{"id":7660,"depth":5553,"text":7661},{"id":8104,"depth":5540,"text":8105},{"id":8969,"depth":5540,"text":8970,"children":10702},[10703,10704,10705],{"id":8973,"depth":5553,"text":8974},{"id":9017,"depth":5553,"text":9018},{"id":9188,"depth":5553,"text":9189},{"id":9217,"depth":5540,"text":9218},{"id":9826,"depth":5540,"text":9827,"children":10708},[10709,10710,10711],{"id":9830,"depth":5553,"text":9831},{"id":9993,"depth":5553,"text":9994},{"id":10183,"depth":5553,"text":10184},{"id":10281,"depth":5540,"text":10282},{"id":10410,"depth":5540,"text":10411},{"id":10621,"depth":5540,"text":10622},"Середнє арифметичне, медіана та мода — три способи знайти «типове» значення в даних, їхні переваги, недоліки та застосування в аналізі даних","md",null,{},{"title":3731,"description":10715},"2m1FQaMPPofQX1_TME4DN_Q8cveIkZwsU3qSFpS-By8",[10722,10724],{"title":3727,"path":3728,"stem":3729,"description":10723,"children":-1},"Що таке випадкова величина, різниця між дискретними та неперервними випадковими величинами, приклади з реального світу та перші обчислення з NumPy",{"title":3735,"path":3736,"stem":3737,"description":10725,"children":-1},"Дисперсія, стандартне відхилення, розмах, міжквартильний розмах та коефіцієнт варіації — як виміряти «розкиданість» даних та зрозуміти їхню стабільність",1792054959686]