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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":3747,"body":5182,"description":14780,"extension":14781,"links":14782,"meta":14783,"navigation":5355,"path":3748,"seo":14784,"stem":3749,"__hash__":14785},"docs\u002F16.ai-python\u002F04.statistics-basics\u002F06.outliers.md",{"type":5183,"value":5184,"toc":14747},"minimark",[5185,5189,5252,5255,5260,5264,5275,5281,5284,5294,6380,6386,6388,6392,6407,6411,6471,6475,6531,6580,6628,6630,6634,6642,6646,6687,6691,6696,7791,7795,7800,7826,8626,8661,8663,8667,8680,8684,8692,8695,8706,8712,8720,8777,9935,9980,9984,10325,10372,10374,10378,10385,10389,10395,10400,10419,10424,10438,10788,10792,10801,10806,10810,10825,11209,11213,11222,11227,11254,11258,11276,11855,11859,11873,11877,11885,11890,11901,11905,11910,11914,11934,11976,11978,11982,13130,13132,13136,14090,14092,14096,14100,14176,14180,14265,14269,14411,14415,14584,14586,14590,14621,14623,14627,14634,14653,14660,14674,14703,14705,14709,14714,14740,14743],[5186,5187,3747],"h1",{"id":5188},"викиди-та-аномалії",[5190,5191,5192,5216],"card-group",{},[5193,5194,5197],"card",{"icon":5195,"title":5196},"i-lucide-target","🎯 Мета підтеми",[5198,5199,5200,5204,5207,5210,5213],"ul",{},[5201,5202,5203],"li",{},"Зрозуміти, що таке викиди (outliers) та чому вони важливі",[5201,5205,5206],{},"Опанувати два методи виявлення: IQR та Z-score",[5201,5208,5209],{},"Навчитися візуалізувати викиди через box plots",[5201,5211,5212],{},"Вивчити стратегії обробки викидів",[5201,5214,5215],{},"Усвідомити вплив викидів на ML-моделі",[5193,5217,5219],{"icon":4618,"title":5218},"🔑 Ключові терміни",[5198,5220,5221,5228,5234,5240,5246],{},[5201,5222,5223,5227],{},[5224,5225,5226],"strong",{},"Викид (outlier)"," — значення, що значно відрізняється від інших спостережень",[5201,5229,5230,5233],{},[5224,5231,5232],{},"Метод IQR"," — виявлення через міжквартильний розмах",[5201,5235,5236,5239],{},[5224,5237,5238],{},"Метод Z-score"," — виявлення через стандартні відхилення",[5201,5241,5242,5245],{},[5224,5243,5244],{},"Box plot"," — діаграма «ящик з вусами» для візуалізації викидів",[5201,5247,5248,5251],{},[5224,5249,5250],{},"Робастні методи"," — алгоритми, стійкі до викидів",[5253,5254],"hr",{},[5256,5257,5259],"h2",{"id":5258},"історія-про-зарплати-в-стартапі","Історія про зарплати в стартапі",[5261,5262,5263],"p",{},"Уявіть: ви аналізуєте зарплати співробітників невеликого стартапу з 20 людей. Отримуєте такі дані (у тисячах $):",[5265,5266,5271],"pre",{"className":5267,"code":5269,"language":5270},[5268],"language-text","[45, 48, 50, 52, 47, 51, 49, 53, 46, 50, 48, 52, 51, 49, 47, 50, 51, 48, 49, 250]\n","text",[5272,5273,5269],"code",{"__ignoreMap":5274},"",[5261,5276,5277,5278],{},"Обчислюєте середню зарплату: ",[5224,5279,5280],{},"$58.5k",[5261,5282,5283],{},"Але чекайте! Більшість людей отримують ~$48–52k, а середнє — $58.5k. Що сталося?",[5261,5285,5286,5289,5290,5293],{},[5224,5287,5288],{},"Останнє значення — $250k"," — це зарплата CEO (співзасновника). Це ",[5224,5291,5292],{},"викид"," (outlier), що драматично спотворює середнє значення.",[5295,5296,5299,5308],"jupyter-notebook",{"kernel":5297,"title":5298},"Python 3 (ipykernel)","startup_salaries.ipynb",[5300,5301,5303],"jupyter-cell",{"type":5302},"markdown",[5304,5305,5307],"h3",{"id":5306},"вплив-викиду-на-статистику-зарплат","Вплив викиду на статистику зарплат",[5300,5309,5311,6362],{"execution-count":5310},"1",[5265,5312,5316],{"className":5313,"code":5314,"language":5315,"meta":5274,"style":5274},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import numpy as np\nimport matplotlib.pyplot as plt\n\nsalaries = np.array([45, 48, 50, 52, 47, 51, 49, 53, 46, 50, 48, 52, 51, 49, 47, 50, 51, 48, 49, 250])\n\n# Статистика з викидом\nmean_with = salaries.mean()\nmedian_with = np.median(salaries)\nstd_with = salaries.std()\n\n# Статистика без викиду\nsalaries_clean = salaries[salaries \u003C 100]\nmean_without = salaries_clean.mean()\nmedian_without = np.median(salaries_clean)\nstd_without = salaries_clean.std()\n\n# Візуалізація\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\n# Графік 1: Гістограма з викидом\nax1.hist(salaries, bins=20, edgecolor='black', alpha=0.7, color='coral')\nax1.axvline(mean_with, color='red', linestyle='--', linewidth=2, label=f'Середнє = ${mean_with:.1f}k')\nax1.axvline(median_with, color='green', linestyle='--', linewidth=2, label=f'Медіана = ${median_with:.1f}k')\nax1.set_xlabel('Зарплата ($k)', fontsize=12)\nax1.set_ylabel('Частота', fontsize=12)\nax1.set_title('З викидом (CEO)', fontweight='bold')\nax1.legend()\nax1.grid(alpha=0.3)\n\n# Графік 2: Гістограма без викиду\nax2.hist(salaries_clean, bins=10, edgecolor='black', alpha=0.7, color='steelblue')\nax2.axvline(mean_without, color='red', linestyle='--', linewidth=2, label=f'Середнє = ${mean_without:.1f}k')\nax2.axvline(median_without, color='green', linestyle='--', linewidth=2, label=f'Медіана = ${median_without:.1f}k')\nax2.set_xlabel('Зарплата ($k)', fontsize=12)\nax2.set_ylabel('Частота', fontsize=12)\nax2.set_title('Без викиду', fontweight='bold')\nax2.legend()\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Порівняння статистики:\\n\")\nprint(f\"{'':20} {'З викидом':>12} {'Без викиду':>12} {'Різниця':>12}\")\nprint(\"-\" * 60)\nprint(f\"{'Середнє':\u003C20} ${mean_with:>10.1f}k ${mean_without:>10.1f}k {(mean_with - mean_without):>+10.1f}k\")\nprint(f\"{'Медіана':\u003C20} ${median_with:>10.1f}k ${median_without:>10.1f}k {(median_with - median_without):>+10.1f}k\")\nprint(f\"{'Стд. відхилення':\u003C20} ${std_with:>10.1f}k ${std_without:>10.1f}k {(std_with - std_without):>+10.1f}k\")\n\nprint(\"\\n💡 Висновок:\")\nprint(\"  Один викид ($250k) збільшив середнє на $9.4k (+19%)\")\nprint(\"  Медіана майже не змінилася (стійка до викидів)\")\nprint(\"  Стандартне відхилення зросло в 20 разів!\")\n","python",[5272,5317,5318,5337,5350,5357,5456,5461,5468,5474,5480,5486,5491,5497,5509,5515,5521,5527,5532,5538,5571,5576,5582,5631,5691,5742,5763,5782,5803,5809,5824,5829,5835,5875,5924,5973,5991,6009,6028,6034,6048,6053,6059,6065,6070,6092,6137,6155,6209,6256,6305,6310,6326,6338,6350],{"__ignoreMap":5274},[5319,5320,5323,5327,5331,5334],"span",{"class":5321,"line":5322},"line",1,[5319,5324,5326],{"class":5325},"s8xlr","import",[5319,5328,5330],{"class":5329},"sHH4Y"," numpy ",[5319,5332,5333],{"class":5325},"as",[5319,5335,5336],{"class":5329}," np\n",[5319,5338,5340,5342,5345,5347],{"class":5321,"line":5339},2,[5319,5341,5326],{"class":5325},[5319,5343,5344],{"class":5329}," matplotlib.pyplot ",[5319,5346,5333],{"class":5325},[5319,5348,5349],{"class":5329}," plt\n",[5319,5351,5353],{"class":5321,"line":5352},3,[5319,5354,5356],{"emptyLinePlaceholder":5355},true,"\n",[5319,5358,5360,5363,5367,5370,5373,5375,5378,5380,5383,5385,5388,5390,5393,5395,5398,5400,5403,5405,5408,5410,5412,5414,5416,5418,5420,5422,5424,5426,5428,5430,5432,5434,5436,5438,5440,5442,5444,5446,5448,5450,5453],{"class":5321,"line":5359},4,[5319,5361,5362],{"class":5329},"salaries = np.array([",[5319,5364,5366],{"class":5365},"sJj4R","45",[5319,5368,5369],{"class":5329},", ",[5319,5371,5372],{"class":5365},"48",[5319,5374,5369],{"class":5329},[5319,5376,5377],{"class":5365},"50",[5319,5379,5369],{"class":5329},[5319,5381,5382],{"class":5365},"52",[5319,5384,5369],{"class":5329},[5319,5386,5387],{"class":5365},"47",[5319,5389,5369],{"class":5329},[5319,5391,5392],{"class":5365},"51",[5319,5394,5369],{"class":5329},[5319,5396,5397],{"class":5365},"49",[5319,5399,5369],{"class":5329},[5319,5401,5402],{"class":5365},"53",[5319,5404,5369],{"class":5329},[5319,5406,5407],{"class":5365},"46",[5319,5409,5369],{"class":5329},[5319,5411,5377],{"class":5365},[5319,5413,5369],{"class":5329},[5319,5415,5372],{"class":5365},[5319,5417,5369],{"class":5329},[5319,5419,5382],{"class":5365},[5319,5421,5369],{"class":5329},[5319,5423,5392],{"class":5365},[5319,5425,5369],{"class":5329},[5319,5427,5397],{"class":5365},[5319,5429,5369],{"class":5329},[5319,5431,5387],{"class":5365},[5319,5433,5369],{"class":5329},[5319,5435,5377],{"class":5365},[5319,5437,5369],{"class":5329},[5319,5439,5392],{"class":5365},[5319,5441,5369],{"class":5329},[5319,5443,5372],{"class":5365},[5319,5445,5369],{"class":5329},[5319,5447,5397],{"class":5365},[5319,5449,5369],{"class":5329},[5319,5451,5452],{"class":5365},"250",[5319,5454,5455],{"class":5329},"])\n",[5319,5457,5459],{"class":5321,"line":5458},5,[5319,5460,5356],{"emptyLinePlaceholder":5355},[5319,5462,5464],{"class":5321,"line":5463},6,[5319,5465,5467],{"class":5466},"spJ8K","# Статистика з викидом\n",[5319,5469,5471],{"class":5321,"line":5470},7,[5319,5472,5473],{"class":5329},"mean_with = salaries.mean()\n",[5319,5475,5477],{"class":5321,"line":5476},8,[5319,5478,5479],{"class":5329},"median_with = np.median(salaries)\n",[5319,5481,5483],{"class":5321,"line":5482},9,[5319,5484,5485],{"class":5329},"std_with = salaries.std()\n",[5319,5487,5489],{"class":5321,"line":5488},10,[5319,5490,5356],{"emptyLinePlaceholder":5355},[5319,5492,5494],{"class":5321,"line":5493},11,[5319,5495,5496],{"class":5466},"# Статистика без викиду\n",[5319,5498,5500,5503,5506],{"class":5321,"line":5499},12,[5319,5501,5502],{"class":5329},"salaries_clean = salaries[salaries \u003C ",[5319,5504,5505],{"class":5365},"100",[5319,5507,5508],{"class":5329},"]\n",[5319,5510,5512],{"class":5321,"line":5511},13,[5319,5513,5514],{"class":5329},"mean_without = salaries_clean.mean()\n",[5319,5516,5518],{"class":5321,"line":5517},14,[5319,5519,5520],{"class":5329},"median_without = np.median(salaries_clean)\n",[5319,5522,5524],{"class":5321,"line":5523},15,[5319,5525,5526],{"class":5329},"std_without = salaries_clean.std()\n",[5319,5528,5530],{"class":5321,"line":5529},16,[5319,5531,5356],{"emptyLinePlaceholder":5355},[5319,5533,5535],{"class":5321,"line":5534},17,[5319,5536,5537],{"class":5466},"# Візуалізація\n",[5319,5539,5541,5544,5546,5548,5551,5553,5557,5560,5563,5565,5568],{"class":5321,"line":5540},18,[5319,5542,5543],{"class":5329},"fig, (ax1, ax2) = plt.subplots(",[5319,5545,5310],{"class":5365},[5319,5547,5369],{"class":5329},[5319,5549,5550],{"class":5365},"2",[5319,5552,5369],{"class":5329},[5319,5554,5556],{"class":5555},"siwwj","figsize",[5319,5558,5559],{"class":5329},"=(",[5319,5561,5562],{"class":5365},"14",[5319,5564,5369],{"class":5329},[5319,5566,5567],{"class":5365},"5",[5319,5569,5570],{"class":5329},"))\n",[5319,5572,5574],{"class":5321,"line":5573},19,[5319,5575,5356],{"emptyLinePlaceholder":5355},[5319,5577,5579],{"class":5321,"line":5578},20,[5319,5580,5581],{"class":5466},"# Графік 1: Гістограма з викидом\n",[5319,5583,5585,5588,5591,5594,5597,5599,5602,5604,5608,5610,5613,5615,5618,5620,5623,5625,5628],{"class":5321,"line":5584},21,[5319,5586,5587],{"class":5329},"ax1.hist(salaries, ",[5319,5589,5590],{"class":5555},"bins",[5319,5592,5593],{"class":5329},"=",[5319,5595,5596],{"class":5365},"20",[5319,5598,5369],{"class":5329},[5319,5600,5601],{"class":5555},"edgecolor",[5319,5603,5593],{"class":5329},[5319,5605,5607],{"class":5606},"sbdoH","'black'",[5319,5609,5369],{"class":5329},[5319,5611,5612],{"class":5555},"alpha",[5319,5614,5593],{"class":5329},[5319,5616,5617],{"class":5365},"0.7",[5319,5619,5369],{"class":5329},[5319,5621,5622],{"class":5555},"color",[5319,5624,5593],{"class":5329},[5319,5626,5627],{"class":5606},"'coral'",[5319,5629,5630],{"class":5329},")\n",[5319,5632,5634,5637,5639,5641,5644,5646,5649,5651,5654,5656,5659,5661,5663,5665,5668,5670,5674,5677,5680,5683,5686,5689],{"class":5321,"line":5633},22,[5319,5635,5636],{"class":5329},"ax1.axvline(mean_with, ",[5319,5638,5622],{"class":5555},[5319,5640,5593],{"class":5329},[5319,5642,5643],{"class":5606},"'red'",[5319,5645,5369],{"class":5329},[5319,5647,5648],{"class":5555},"linestyle",[5319,5650,5593],{"class":5329},[5319,5652,5653],{"class":5606},"'--'",[5319,5655,5369],{"class":5329},[5319,5657,5658],{"class":5555},"linewidth",[5319,5660,5593],{"class":5329},[5319,5662,5550],{"class":5365},[5319,5664,5369],{"class":5329},[5319,5666,5667],{"class":5555},"label",[5319,5669,5593],{"class":5329},[5319,5671,5673],{"class":5672},"su1O8","f",[5319,5675,5676],{"class":5606},"'Середнє = $",[5319,5678,5679],{"class":5672},"{",[5319,5681,5682],{"class":5329},"mean_with",[5319,5684,5685],{"class":5672},":.1f}",[5319,5687,5688],{"class":5606},"k'",[5319,5690,5630],{"class":5329},[5319,5692,5694,5697,5699,5701,5704,5706,5708,5710,5712,5714,5716,5718,5720,5722,5724,5726,5728,5731,5733,5736,5738,5740],{"class":5321,"line":5693},23,[5319,5695,5696],{"class":5329},"ax1.axvline(median_with, ",[5319,5698,5622],{"class":5555},[5319,5700,5593],{"class":5329},[5319,5702,5703],{"class":5606},"'green'",[5319,5705,5369],{"class":5329},[5319,5707,5648],{"class":5555},[5319,5709,5593],{"class":5329},[5319,5711,5653],{"class":5606},[5319,5713,5369],{"class":5329},[5319,5715,5658],{"class":5555},[5319,5717,5593],{"class":5329},[5319,5719,5550],{"class":5365},[5319,5721,5369],{"class":5329},[5319,5723,5667],{"class":5555},[5319,5725,5593],{"class":5329},[5319,5727,5673],{"class":5672},[5319,5729,5730],{"class":5606},"'Медіана = $",[5319,5732,5679],{"class":5672},[5319,5734,5735],{"class":5329},"median_with",[5319,5737,5685],{"class":5672},[5319,5739,5688],{"class":5606},[5319,5741,5630],{"class":5329},[5319,5743,5745,5748,5751,5753,5756,5758,5761],{"class":5321,"line":5744},24,[5319,5746,5747],{"class":5329},"ax1.set_xlabel(",[5319,5749,5750],{"class":5606},"'Зарплата ($k)'",[5319,5752,5369],{"class":5329},[5319,5754,5755],{"class":5555},"fontsize",[5319,5757,5593],{"class":5329},[5319,5759,5760],{"class":5365},"12",[5319,5762,5630],{"class":5329},[5319,5764,5766,5769,5772,5774,5776,5778,5780],{"class":5321,"line":5765},25,[5319,5767,5768],{"class":5329},"ax1.set_ylabel(",[5319,5770,5771],{"class":5606},"'Частота'",[5319,5773,5369],{"class":5329},[5319,5775,5755],{"class":5555},[5319,5777,5593],{"class":5329},[5319,5779,5760],{"class":5365},[5319,5781,5630],{"class":5329},[5319,5783,5785,5788,5791,5793,5796,5798,5801],{"class":5321,"line":5784},26,[5319,5786,5787],{"class":5329},"ax1.set_title(",[5319,5789,5790],{"class":5606},"'З викидом (CEO)'",[5319,5792,5369],{"class":5329},[5319,5794,5795],{"class":5555},"fontweight",[5319,5797,5593],{"class":5329},[5319,5799,5800],{"class":5606},"'bold'",[5319,5802,5630],{"class":5329},[5319,5804,5806],{"class":5321,"line":5805},27,[5319,5807,5808],{"class":5329},"ax1.legend()\n",[5319,5810,5812,5815,5817,5819,5822],{"class":5321,"line":5811},28,[5319,5813,5814],{"class":5329},"ax1.grid(",[5319,5816,5612],{"class":5555},[5319,5818,5593],{"class":5329},[5319,5820,5821],{"class":5365},"0.3",[5319,5823,5630],{"class":5329},[5319,5825,5827],{"class":5321,"line":5826},29,[5319,5828,5356],{"emptyLinePlaceholder":5355},[5319,5830,5832],{"class":5321,"line":5831},30,[5319,5833,5834],{"class":5466},"# Графік 2: Гістограма без викиду\n",[5319,5836,5838,5841,5843,5845,5848,5850,5852,5854,5856,5858,5860,5862,5864,5866,5868,5870,5873],{"class":5321,"line":5837},31,[5319,5839,5840],{"class":5329},"ax2.hist(salaries_clean, ",[5319,5842,5590],{"class":5555},[5319,5844,5593],{"class":5329},[5319,5846,5847],{"class":5365},"10",[5319,5849,5369],{"class":5329},[5319,5851,5601],{"class":5555},[5319,5853,5593],{"class":5329},[5319,5855,5607],{"class":5606},[5319,5857,5369],{"class":5329},[5319,5859,5612],{"class":5555},[5319,5861,5593],{"class":5329},[5319,5863,5617],{"class":5365},[5319,5865,5369],{"class":5329},[5319,5867,5622],{"class":5555},[5319,5869,5593],{"class":5329},[5319,5871,5872],{"class":5606},"'steelblue'",[5319,5874,5630],{"class":5329},[5319,5876,5878,5881,5883,5885,5887,5889,5891,5893,5895,5897,5899,5901,5903,5905,5907,5909,5911,5913,5915,5918,5920,5922],{"class":5321,"line":5877},32,[5319,5879,5880],{"class":5329},"ax2.axvline(mean_without, ",[5319,5882,5622],{"class":5555},[5319,5884,5593],{"class":5329},[5319,5886,5643],{"class":5606},[5319,5888,5369],{"class":5329},[5319,5890,5648],{"class":5555},[5319,5892,5593],{"class":5329},[5319,5894,5653],{"class":5606},[5319,5896,5369],{"class":5329},[5319,5898,5658],{"class":5555},[5319,5900,5593],{"class":5329},[5319,5902,5550],{"class":5365},[5319,5904,5369],{"class":5329},[5319,5906,5667],{"class":5555},[5319,5908,5593],{"class":5329},[5319,5910,5673],{"class":5672},[5319,5912,5676],{"class":5606},[5319,5914,5679],{"class":5672},[5319,5916,5917],{"class":5329},"mean_without",[5319,5919,5685],{"class":5672},[5319,5921,5688],{"class":5606},[5319,5923,5630],{"class":5329},[5319,5925,5927,5930,5932,5934,5936,5938,5940,5942,5944,5946,5948,5950,5952,5954,5956,5958,5960,5962,5964,5967,5969,5971],{"class":5321,"line":5926},33,[5319,5928,5929],{"class":5329},"ax2.axvline(median_without, ",[5319,5931,5622],{"class":5555},[5319,5933,5593],{"class":5329},[5319,5935,5703],{"class":5606},[5319,5937,5369],{"class":5329},[5319,5939,5648],{"class":5555},[5319,5941,5593],{"class":5329},[5319,5943,5653],{"class":5606},[5319,5945,5369],{"class":5329},[5319,5947,5658],{"class":5555},[5319,5949,5593],{"class":5329},[5319,5951,5550],{"class":5365},[5319,5953,5369],{"class":5329},[5319,5955,5667],{"class":5555},[5319,5957,5593],{"class":5329},[5319,5959,5673],{"class":5672},[5319,5961,5730],{"class":5606},[5319,5963,5679],{"class":5672},[5319,5965,5966],{"class":5329},"median_without",[5319,5968,5685],{"class":5672},[5319,5970,5688],{"class":5606},[5319,5972,5630],{"class":5329},[5319,5974,5976,5979,5981,5983,5985,5987,5989],{"class":5321,"line":5975},34,[5319,5977,5978],{"class":5329},"ax2.set_xlabel(",[5319,5980,5750],{"class":5606},[5319,5982,5369],{"class":5329},[5319,5984,5755],{"class":5555},[5319,5986,5593],{"class":5329},[5319,5988,5760],{"class":5365},[5319,5990,5630],{"class":5329},[5319,5992,5994,5997,5999,6001,6003,6005,6007],{"class":5321,"line":5993},35,[5319,5995,5996],{"class":5329},"ax2.set_ylabel(",[5319,5998,5771],{"class":5606},[5319,6000,5369],{"class":5329},[5319,6002,5755],{"class":5555},[5319,6004,5593],{"class":5329},[5319,6006,5760],{"class":5365},[5319,6008,5630],{"class":5329},[5319,6010,6012,6015,6018,6020,6022,6024,6026],{"class":5321,"line":6011},36,[5319,6013,6014],{"class":5329},"ax2.set_title(",[5319,6016,6017],{"class":5606},"'Без викиду'",[5319,6019,5369],{"class":5329},[5319,6021,5795],{"class":5555},[5319,6023,5593],{"class":5329},[5319,6025,5800],{"class":5606},[5319,6027,5630],{"class":5329},[5319,6029,6031],{"class":5321,"line":6030},37,[5319,6032,6033],{"class":5329},"ax2.legend()\n",[5319,6035,6037,6040,6042,6044,6046],{"class":5321,"line":6036},38,[5319,6038,6039],{"class":5329},"ax2.grid(",[5319,6041,5612],{"class":5555},[5319,6043,5593],{"class":5329},[5319,6045,5821],{"class":5365},[5319,6047,5630],{"class":5329},[5319,6049,6051],{"class":5321,"line":6050},39,[5319,6052,5356],{"emptyLinePlaceholder":5355},[5319,6054,6056],{"class":5321,"line":6055},40,[5319,6057,6058],{"class":5329},"plt.tight_layout()\n",[5319,6060,6062],{"class":5321,"line":6061},41,[5319,6063,6064],{"class":5329},"plt.show()\n",[5319,6066,6068],{"class":5321,"line":6067},42,[5319,6069,5356],{"emptyLinePlaceholder":5355},[5319,6071,6073,6077,6080,6083,6087,6090],{"class":5321,"line":6072},43,[5319,6074,6076],{"class":6075},"s8Opu","print",[5319,6078,6079],{"class":5329},"(",[5319,6081,6082],{"class":5606},"\"📊 Порівняння статистики:",[5319,6084,6086],{"class":6085},"sjcCO","\\n",[5319,6088,6089],{"class":5606},"\"",[5319,6091,5630],{"class":5329},[5319,6093,6095,6097,6099,6101,6103,6105,6108,6111,6114,6117,6120,6122,6124,6126,6128,6131,6133,6135],{"class":5321,"line":6094},44,[5319,6096,6076],{"class":6075},[5319,6098,6079],{"class":5329},[5319,6100,5673],{"class":5672},[5319,6102,6089],{"class":5606},[5319,6104,5679],{"class":5672},[5319,6106,6107],{"class":5606},"''",[5319,6109,6110],{"class":5672},":20}",[5319,6112,6113],{"class":5672}," {",[5319,6115,6116],{"class":5606},"'З викидом'",[5319,6118,6119],{"class":5672},":>12}",[5319,6121,6113],{"class":5672},[5319,6123,6017],{"class":5606},[5319,6125,6119],{"class":5672},[5319,6127,6113],{"class":5672},[5319,6129,6130],{"class":5606},"'Різниця'",[5319,6132,6119],{"class":5672},[5319,6134,6089],{"class":5606},[5319,6136,5630],{"class":5329},[5319,6138,6140,6142,6144,6147,6150,6153],{"class":5321,"line":6139},45,[5319,6141,6076],{"class":6075},[5319,6143,6079],{"class":5329},[5319,6145,6146],{"class":5606},"\"-\"",[5319,6148,6149],{"class":5329}," * ",[5319,6151,6152],{"class":5365},"60",[5319,6154,5630],{"class":5329},[5319,6156,6158,6160,6162,6164,6166,6168,6171,6174,6177,6179,6181,6184,6187,6189,6191,6193,6196,6198,6201,6204,6207],{"class":5321,"line":6157},46,[5319,6159,6076],{"class":6075},[5319,6161,6079],{"class":5329},[5319,6163,5673],{"class":5672},[5319,6165,6089],{"class":5606},[5319,6167,5679],{"class":5672},[5319,6169,6170],{"class":5606},"'Середнє'",[5319,6172,6173],{"class":5672},":\u003C20}",[5319,6175,6176],{"class":5606}," $",[5319,6178,5679],{"class":5672},[5319,6180,5682],{"class":5329},[5319,6182,6183],{"class":5672},":>10.1f}",[5319,6185,6186],{"class":5606},"k $",[5319,6188,5679],{"class":5672},[5319,6190,5917],{"class":5329},[5319,6192,6183],{"class":5672},[5319,6194,6195],{"class":5606},"k ",[5319,6197,5679],{"class":5672},[5319,6199,6200],{"class":5329},"(mean_with - mean_without)",[5319,6202,6203],{"class":5672},":>+10.1f}",[5319,6205,6206],{"class":5606},"k\"",[5319,6208,5630],{"class":5329},[5319,6210,6212,6214,6216,6218,6220,6222,6225,6227,6229,6231,6233,6235,6237,6239,6241,6243,6245,6247,6250,6252,6254],{"class":5321,"line":6211},47,[5319,6213,6076],{"class":6075},[5319,6215,6079],{"class":5329},[5319,6217,5673],{"class":5672},[5319,6219,6089],{"class":5606},[5319,6221,5679],{"class":5672},[5319,6223,6224],{"class":5606},"'Медіана'",[5319,6226,6173],{"class":5672},[5319,6228,6176],{"class":5606},[5319,6230,5679],{"class":5672},[5319,6232,5735],{"class":5329},[5319,6234,6183],{"class":5672},[5319,6236,6186],{"class":5606},[5319,6238,5679],{"class":5672},[5319,6240,5966],{"class":5329},[5319,6242,6183],{"class":5672},[5319,6244,6195],{"class":5606},[5319,6246,5679],{"class":5672},[5319,6248,6249],{"class":5329},"(median_with - median_without)",[5319,6251,6203],{"class":5672},[5319,6253,6206],{"class":5606},[5319,6255,5630],{"class":5329},[5319,6257,6259,6261,6263,6265,6267,6269,6272,6274,6276,6278,6281,6283,6285,6287,6290,6292,6294,6296,6299,6301,6303],{"class":5321,"line":6258},48,[5319,6260,6076],{"class":6075},[5319,6262,6079],{"class":5329},[5319,6264,5673],{"class":5672},[5319,6266,6089],{"class":5606},[5319,6268,5679],{"class":5672},[5319,6270,6271],{"class":5606},"'Стд. відхилення'",[5319,6273,6173],{"class":5672},[5319,6275,6176],{"class":5606},[5319,6277,5679],{"class":5672},[5319,6279,6280],{"class":5329},"std_with",[5319,6282,6183],{"class":5672},[5319,6284,6186],{"class":5606},[5319,6286,5679],{"class":5672},[5319,6288,6289],{"class":5329},"std_without",[5319,6291,6183],{"class":5672},[5319,6293,6195],{"class":5606},[5319,6295,5679],{"class":5672},[5319,6297,6298],{"class":5329},"(std_with - std_without)",[5319,6300,6203],{"class":5672},[5319,6302,6206],{"class":5606},[5319,6304,5630],{"class":5329},[5319,6306,6308],{"class":5321,"line":6307},49,[5319,6309,5356],{"emptyLinePlaceholder":5355},[5319,6311,6313,6315,6317,6319,6321,6324],{"class":5321,"line":6312},50,[5319,6314,6076],{"class":6075},[5319,6316,6079],{"class":5329},[5319,6318,6089],{"class":5606},[5319,6320,6086],{"class":6085},[5319,6322,6323],{"class":5606},"💡 Висновок:\"",[5319,6325,5630],{"class":5329},[5319,6327,6329,6331,6333,6336],{"class":5321,"line":6328},51,[5319,6330,6076],{"class":6075},[5319,6332,6079],{"class":5329},[5319,6334,6335],{"class":5606},"\"  Один викид ($250k) збільшив середнє на $9.4k (+19%)\"",[5319,6337,5630],{"class":5329},[5319,6339,6341,6343,6345,6348],{"class":5321,"line":6340},52,[5319,6342,6076],{"class":6075},[5319,6344,6079],{"class":5329},[5319,6346,6347],{"class":5606},"\"  Медіана майже не змінилася (стійка до викидів)\"",[5319,6349,5630],{"class":5329},[5319,6351,6353,6355,6357,6360],{"class":5321,"line":6352},53,[5319,6354,6076],{"class":6075},[5319,6356,6079],{"class":5329},[5319,6358,6359],{"class":5606},"\"  Стандартне відхилення зросло в 20 разів!\"",[5319,6361,5630],{"class":5329},[6363,6364,6365,6374],"template",{"v-slot:output":5274},[5261,6366,6367],{},[6368,6369],"img",{"alt":6370,"className":6371,"src":6373},"Вплив викиду (зарплата CEO) на середнє значення та розподіл",[6372],"diagram-img","\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F01.png",[5265,6375,6378],{"className":6376,"code":6377,"language":5270},[5268],"📊 Порівняння статистики:\n\n                      З викидом  Без викиду     Різниця\n------------------------------------------------------------\nСереднє                  $58.5k      $49.1k      +9.4k\nМедіана                  $49.5k      $49.5k      +0.0k\nСтд. відхилення          $45.4k       $2.1k     +43.3k\n\n💡 Висновок:\n  Один викид ($250k) збільшив середнє на $9.4k (+19%)\n  Медіана майже не змінилася (стійка до викидів)\n  Стандартне відхилення зросло в 20 разів!\n",[5272,6379,6377],{"__ignoreMap":5274},[6381,6382,6383],"blockquote",{},[5261,6384,6385],{},"Аналогія: Викид — це як камінь у взутті. Якщо його не помітити, весь шлях буде некомфортним. Один екстремальний елемент може зіпсувати всю картину даних та спотворити висновки.",[5253,6387],{},[5256,6389,6391],{"id":6390},"що-таке-викид-outlier","Що таке викид (Outlier)?",[5261,6393,6394,6397,6398,6402,6403,6406],{},[5224,6395,6396],{},"Викид"," (",[6399,6400,6401],"em",{},"outlier",") — це спостереження, яке ",[5224,6404,6405],{},"значно відрізняється"," від решти даних. Воно лежить далеко від основної маси значень.",[5304,6408,6410],{"id":6409},"види-викидів","Види викидів",[6412,6413,6414,6434,6454],"ol",{},[5201,6415,6416,6397,6419,6422,6423],{},[5224,6417,6418],{},"Природні викиди",[6399,6420,6421],{},"natural outliers",") — реальні, але рідкісні значення",[5198,6424,6425,6428,6431],{},[5201,6426,6427],{},"Білл Гейтс у датасеті доходів американців",[5201,6429,6430],{},"Землетрус магнітудою 9.0 (99.9% землетрусів \u003C 5.0)",[5201,6432,6433],{},"Геніальний студент з IQ 160 у класі",[5201,6435,6436,6397,6439,6442,6443],{},[5224,6437,6438],{},"Помилки вимірювання",[6399,6440,6441],{},"measurement errors",") — технічні збої, людські помилки",[5198,6444,6445,6448,6451],{},[5201,6446,6447],{},"Сенсор записав температуру −999°C (фізично неможливо)",[5201,6449,6450],{},"Оператор ввів 1,000,000 замість 1,000 (зайва цифра)",[5201,6452,6453],{},"Вік людини = 200 років (помилка введення)",[5201,6455,6456,6397,6459,6462,6463],{},[5224,6457,6458],{},"Помилки обробки даних",[6399,6460,6461],{},"data processing errors",")",[5198,6464,6465,6468],{},[5201,6466,6467],{},"Об'єднання датасетів з різними одиницями вимірювання (метри + сантиметри)",[5201,6469,6470],{},"Дублювання запису",[5304,6472,6474],{"id":6473},"чому-викиди-важливі","Чому викиди важливі?",[5190,6476,6477,6507],{},[5193,6478,6481],{"icon":6479,"title":6480},"i-lucide-alert-triangle","❌ Шкода від викидів",[5198,6482,6483,6489,6495,6501],{},[5201,6484,6485,6488],{},[5224,6486,6487],{},"Спотворюють середнє"," та стандартне відхилення",[5201,6490,6491,6494],{},[5224,6492,6493],{},"Порушують припущення"," ML-алгоритмів (нормальність, лінійність)",[5201,6496,6497,6500],{},[5224,6498,6499],{},"Погіршують якість моделей"," (особливо лінійна регресія, KNN)",[5201,6502,6503,6506],{},[5224,6504,6505],{},"Вводять в оману"," при інтерпретації даних",[5193,6508,6511],{"icon":6509,"title":6510},"i-lucide-sparkles","✅ Цінність викидів",[5198,6512,6513,6519,6525],{},[5201,6514,6515,6518],{},[5224,6516,6517],{},"Сигнал аномалій"," (шахрайство, несправність обладнання)",[5201,6520,6521,6524],{},[5224,6522,6523],{},"Рідкісні, але важливі події"," (епідемія, фінансова криза)",[5201,6526,6527,6530],{},[5224,6528,6529],{},"Нові знання"," про систему (екстремальні умови)",[6532,6533,6534,6540,6543,6570],"warning",{},[5261,6535,6536,6539],{},[5224,6537,6538],{},"Критична помилка:"," Автоматичне видалення всіх викидів без аналізу!",[5261,6541,6542],{},"Перед видаленням викиду запитайте:",[6412,6544,6545,6556,6563],{},[5201,6546,6547,6548,6551,6552,6555],{},"Це ",[5224,6549,6550],{},"помилка вимірювання"," (можна видалити) чи ",[5224,6553,6554],{},"реальне значення"," (потрібно зберегти)?",[5201,6557,6558,6559,6562],{},"Чи це ",[5224,6560,6561],{},"цільова аномалія"," (наприклад, шахрайство у фінансових даних)?",[5201,6564,6565,6566,6569],{},"Чи модель має бути ",[5224,6567,6568],{},"робастною"," до екстремальних значень?",[5261,6571,6572,6575,6576,6579],{},[5224,6573,6574],{},"Золоте правило:"," Розумійте ",[5224,6577,6578],{},"природу"," викиду перед його обробкою!",[6581,6582,6584,6591],"note",{"title":6583},"Інженерна аналогія: Викиди в CyberSecurity (Fraud Detection) та моніторингу витоків пам'яті",[5261,6585,6586,6587,6590],{},"У програмній інженерії викиди — це не просто «сміття в датасеті», яке треба видалити. У багатьох доменах викид є ",[5224,6588,6589],{},"найдорожчим та найважливішим сигналом системи",":",[6412,6592,6593,6610],{},[5201,6594,6595,6590,6598],{},[5224,6596,6597],{},"FinTech та захист від шахрайства (Antifraud)",[5198,6599,6600,6603],{},[5201,6601,6602],{},"Уявіть користувача, який щодня купує каву за $4 та продукти в супермаркеті за $45. Раптом о 03:45 ночі з його акаунта надходить платіж на $9,800 на криптобіржу з нової IP-адреси. Зі статистичного погляду це колосальний викид ($z > 15$).",[5201,6604,6605,6606,6609],{},"Якщо ML-інженер автоматично відфільтрує цей запис під час очищення датасету (вважаючи його «шумом»), він знищить саме ту аномалію, заради пошуку якої створюється модель. У системах Antifraud викид — це ",[5224,6607,6608],{},"головний цільовий клас (target label)",".",[5201,6611,6612,6590,6615],{},[5224,6613,6614],{},"DevOps та профілювання пам'яті (Memory Leak Profiling)",[5198,6616,6617],{},[5201,6618,6619,6620,6623,6624,6627],{},"Якщо 999 контейнерів мікросервісу в кластері Kubernetes стабільно тримають 250 MB оперативної пам'яті, а один контейнер раптово споживає 3.9 GB і падає через ",[5272,6621,6622],{},"OOMKilled"," — цей статистичний викид є єдиним свідченням циклічного витоку пам'яті (",[6399,6625,6626],{},"memory leak",") або нескінченної рекурсії у фоновому worker-і. Видалити таку аномалію з логів означає проігнорувати системний збій.",[5253,6629],{},[5256,6631,6633],{"id":6632},"метод-1-iqr-міжквартильний-розмах","Метод 1: IQR (Міжквартильний розмах)",[5261,6635,6636,6397,6638,6641],{},[5224,6637,5232],{},[6399,6639,6640],{},"Interquartile Range",") — найпопулярніший робастний метод виявлення викидів, заснований на квартилях.",[5304,6643,6645],{"id":6644},"крок-за-кроком","Крок за кроком",[6412,6647,6648,6659,6665,6680],{},[5201,6649,6650,6651,6654,6655,6658],{},"Обчислити ",[5224,6652,6653],{},"Q1"," (25-й перцентиль) та ",[5224,6656,6657],{},"Q3"," (75-й перцентиль)",[5201,6660,6650,6661,6664],{},[5224,6662,6663],{},"IQR"," = Q3 − Q1 (міжквартильний розмах)",[5201,6666,6667,6668,6671,6672],{},"Визначити ",[5224,6669,6670],{},"межі",":\n",[5198,6673,6674,6677],{},[5201,6675,6676],{},"Нижня межа: Q1 − 1.5 × IQR",[5201,6678,6679],{},"Верхня межа: Q3 + 1.5 × IQR",[5201,6681,6682,6683,6686],{},"Значення ",[5224,6684,6685],{},"поза межами"," = викиди",[6688,6689,6690],"math-formula",{},"\\begin{aligned}\n\\text{IQR} &= Q_3 - Q_1 \\\n\\text{Нижня межа} &= Q_1 - 1.5 \\times \\text{IQR} \\\n\\text{Верхня межа} &= Q_3 + 1.5 \\times \\text{IQR}\n\\end{aligned}",[6381,6692,6693],{},[5261,6694,6695],{},"Чому 1.5? Це емпіричне правило, запропоноване Джоном Тьюкі. Воно виявляє ~0.7% найекстремальніших значень у нормальному розподілі. Іноді використовують 3.0 для більш консервативного виявлення.",[5295,6697,6699,6705],{"kernel":5297,"title":6698},"iqr_method.ipynb",[5300,6700,6701],{"type":5302},[5304,6702,6704],{"id":6703},"метод-iqr-виявлення-викидів","Метод IQR: виявлення викидів",[5300,6706,6707,7776],{"execution-count":5310},[5265,6708,6710],{"className":5313,"code":6709,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо дані з викидами\ndata = np.concatenate([\n    rng.normal(50, 10, 95),  # Основна маса\n    np.array([10, 15, 90, 95, 100])  # Викиди\n])\n\n# Крок 1: Обчислюємо квартилі\nQ1 = np.percentile(data, 25)\nQ3 = np.percentile(data, 75)\nIQR = Q3 - Q1\n\n# Крок 2: Обчислюємо межі\nlower_bound = Q1 - 1.5 * IQR\nupper_bound = Q3 + 1.5 * IQR\n\n# Крок 3: Виявляємо викиди\noutliers = data[(data \u003C lower_bound) | (data > upper_bound)]\ninliers = data[(data >= lower_bound) & (data \u003C= upper_bound)]\n\n# Візуалізація\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\n# Графік 1: Гістограма з межами\nax1.hist(data, bins=30, edgecolor='black', alpha=0.7, color='lightblue')\nax1.axvline(Q1, color='orange', linestyle='--', linewidth=2, label=f'Q1 = {Q1:.1f}')\nax1.axvline(Q3, color='orange', linestyle='--', linewidth=2, label=f'Q3 = {Q3:.1f}')\nax1.axvline(lower_bound, color='red', linestyle='-', linewidth=2, label=f'Нижня межа = {lower_bound:.1f}')\nax1.axvline(upper_bound, color='red', linestyle='-', linewidth=2, label=f'Верхня межа = {upper_bound:.1f}')\nax1.set_xlabel('Значення', fontsize=12)\nax1.set_ylabel('Частота', fontsize=12)\nax1.set_title('Метод IQR: межі викидів', fontweight='bold')\nax1.legend(loc='upper left')\nax1.grid(alpha=0.3)\n\n# Графік 2: Точки (inliers vs outliers)\nax2.scatter(range(len(inliers)), inliers, c='green', alpha=0.6, s=50, edgecolors='black', linewidths=0.5, label='Нормальні')\nax2.scatter(range(len(inliers), len(data)), outliers, c='red', s=100, edgecolors='black', linewidths=1, label='Викиди', marker='^')\nax2.axhline(lower_bound, color='red', linestyle='--', linewidth=1.5, alpha=0.7)\nax2.axhline(upper_bound, color='red', linestyle='--', linewidth=1.5, alpha=0.7)\nax2.set_xlabel('Індекс', fontsize=12)\nax2.set_ylabel('Значення', fontsize=12)\nax2.set_title('Виявлені викиди', fontweight='bold')\nax2.legend()\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Результати методу IQR:\\n\")\nprint(f\"  Q1 (25-й перцентиль): {Q1:.2f}\")\nprint(f\"  Q3 (75-й перцентиль): {Q3:.2f}\")\nprint(f\"  IQR: {IQR:.2f}\")\nprint(f\"  Нижня межа: {lower_bound:.2f}\")\nprint(f\"  Верхня межа: {upper_bound:.2f}\")\nprint(f\"\\n🔍 Виявлено викидів: {len(outliers)} \u002F {len(data)} ({len(outliers)\u002Flen(data)*100:.1f}%)\")\nprint(f\"  Викиди: {sorted(outliers)}\")\n",[5272,6711,6712,6722,6732,6736,6751,6755,6760,6765,6787,6818,6822,6826,6831,6841,6851,6856,6860,6865,6876,6885,6889,6894,6899,6904,6908,6912,6936,6940,6945,6984,7034,7082,7132,7181,7198,7214,7231,7246,7258,7262,7267,7338,7407,7444,7481,7498,7514,7531,7535,7547,7551,7555,7559,7563,7579,7602,7624,7646,7668,7690,7751],{"__ignoreMap":5274},[5319,6713,6714,6716,6718,6720],{"class":5321,"line":5322},[5319,6715,5326],{"class":5325},[5319,6717,5330],{"class":5329},[5319,6719,5333],{"class":5325},[5319,6721,5336],{"class":5329},[5319,6723,6724,6726,6728,6730],{"class":5321,"line":5339},[5319,6725,5326],{"class":5325},[5319,6727,5344],{"class":5329},[5319,6729,5333],{"class":5325},[5319,6731,5349],{"class":5329},[5319,6733,6734],{"class":5321,"line":5352},[5319,6735,5356],{"emptyLinePlaceholder":5355},[5319,6737,6738,6741,6744,6746,6749],{"class":5321,"line":5359},[5319,6739,6740],{"class":5329},"rng = np.random.default_rng(",[5319,6742,6743],{"class":5555},"seed",[5319,6745,5593],{"class":5329},[5319,6747,6748],{"class":5365},"42",[5319,6750,5630],{"class":5329},[5319,6752,6753],{"class":5321,"line":5458},[5319,6754,5356],{"emptyLinePlaceholder":5355},[5319,6756,6757],{"class":5321,"line":5463},[5319,6758,6759],{"class":5466},"# Генеруємо дані з викидами\n",[5319,6761,6762],{"class":5321,"line":5470},[5319,6763,6764],{"class":5329},"data = np.concatenate([\n",[5319,6766,6767,6770,6772,6774,6776,6778,6781,6784],{"class":5321,"line":5476},[5319,6768,6769],{"class":5329},"    rng.normal(",[5319,6771,5377],{"class":5365},[5319,6773,5369],{"class":5329},[5319,6775,5847],{"class":5365},[5319,6777,5369],{"class":5329},[5319,6779,6780],{"class":5365},"95",[5319,6782,6783],{"class":5329},"),  ",[5319,6785,6786],{"class":5466},"# Основна маса\n",[5319,6788,6789,6792,6794,6796,6799,6801,6804,6806,6808,6810,6812,6815],{"class":5321,"line":5482},[5319,6790,6791],{"class":5329},"    np.array([",[5319,6793,5847],{"class":5365},[5319,6795,5369],{"class":5329},[5319,6797,6798],{"class":5365},"15",[5319,6800,5369],{"class":5329},[5319,6802,6803],{"class":5365},"90",[5319,6805,5369],{"class":5329},[5319,6807,6780],{"class":5365},[5319,6809,5369],{"class":5329},[5319,6811,5505],{"class":5365},[5319,6813,6814],{"class":5329},"])  ",[5319,6816,6817],{"class":5466},"# Викиди\n",[5319,6819,6820],{"class":5321,"line":5488},[5319,6821,5455],{"class":5329},[5319,6823,6824],{"class":5321,"line":5493},[5319,6825,5356],{"emptyLinePlaceholder":5355},[5319,6827,6828],{"class":5321,"line":5499},[5319,6829,6830],{"class":5466},"# Крок 1: Обчислюємо квартилі\n",[5319,6832,6833,6836,6839],{"class":5321,"line":5511},[5319,6834,6835],{"class":5329},"Q1 = np.percentile(data, ",[5319,6837,6838],{"class":5365},"25",[5319,6840,5630],{"class":5329},[5319,6842,6843,6846,6849],{"class":5321,"line":5517},[5319,6844,6845],{"class":5329},"Q3 = np.percentile(data, ",[5319,6847,6848],{"class":5365},"75",[5319,6850,5630],{"class":5329},[5319,6852,6853],{"class":5321,"line":5523},[5319,6854,6855],{"class":5329},"IQR = Q3 - Q1\n",[5319,6857,6858],{"class":5321,"line":5529},[5319,6859,5356],{"emptyLinePlaceholder":5355},[5319,6861,6862],{"class":5321,"line":5534},[5319,6863,6864],{"class":5466},"# Крок 2: Обчислюємо межі\n",[5319,6866,6867,6870,6873],{"class":5321,"line":5540},[5319,6868,6869],{"class":5329},"lower_bound = Q1 - ",[5319,6871,6872],{"class":5365},"1.5",[5319,6874,6875],{"class":5329}," * IQR\n",[5319,6877,6878,6881,6883],{"class":5321,"line":5573},[5319,6879,6880],{"class":5329},"upper_bound = Q3 + ",[5319,6882,6872],{"class":5365},[5319,6884,6875],{"class":5329},[5319,6886,6887],{"class":5321,"line":5578},[5319,6888,5356],{"emptyLinePlaceholder":5355},[5319,6890,6891],{"class":5321,"line":5584},[5319,6892,6893],{"class":5466},"# Крок 3: Виявляємо викиди\n",[5319,6895,6896],{"class":5321,"line":5633},[5319,6897,6898],{"class":5329},"outliers = data[(data \u003C lower_bound) | (data > upper_bound)]\n",[5319,6900,6901],{"class":5321,"line":5693},[5319,6902,6903],{"class":5329},"inliers = data[(data >= lower_bound) & (data \u003C= upper_bound)]\n",[5319,6905,6906],{"class":5321,"line":5744},[5319,6907,5356],{"emptyLinePlaceholder":5355},[5319,6909,6910],{"class":5321,"line":5765},[5319,6911,5537],{"class":5466},[5319,6913,6914,6916,6918,6920,6922,6924,6926,6928,6930,6932,6934],{"class":5321,"line":5784},[5319,6915,5543],{"class":5329},[5319,6917,5310],{"class":5365},[5319,6919,5369],{"class":5329},[5319,6921,5550],{"class":5365},[5319,6923,5369],{"class":5329},[5319,6925,5556],{"class":5555},[5319,6927,5559],{"class":5329},[5319,6929,5562],{"class":5365},[5319,6931,5369],{"class":5329},[5319,6933,5567],{"class":5365},[5319,6935,5570],{"class":5329},[5319,6937,6938],{"class":5321,"line":5805},[5319,6939,5356],{"emptyLinePlaceholder":5355},[5319,6941,6942],{"class":5321,"line":5811},[5319,6943,6944],{"class":5466},"# Графік 1: Гістограма з межами\n",[5319,6946,6947,6950,6952,6954,6957,6959,6961,6963,6965,6967,6969,6971,6973,6975,6977,6979,6982],{"class":5321,"line":5826},[5319,6948,6949],{"class":5329},"ax1.hist(data, ",[5319,6951,5590],{"class":5555},[5319,6953,5593],{"class":5329},[5319,6955,6956],{"class":5365},"30",[5319,6958,5369],{"class":5329},[5319,6960,5601],{"class":5555},[5319,6962,5593],{"class":5329},[5319,6964,5607],{"class":5606},[5319,6966,5369],{"class":5329},[5319,6968,5612],{"class":5555},[5319,6970,5593],{"class":5329},[5319,6972,5617],{"class":5365},[5319,6974,5369],{"class":5329},[5319,6976,5622],{"class":5555},[5319,6978,5593],{"class":5329},[5319,6980,6981],{"class":5606},"'lightblue'",[5319,6983,5630],{"class":5329},[5319,6985,6986,6989,6991,6993,6996,6998,7000,7002,7004,7006,7008,7010,7012,7014,7016,7018,7020,7023,7025,7027,7029,7032],{"class":5321,"line":5831},[5319,6987,6988],{"class":5329},"ax1.axvline(Q1, ",[5319,6990,5622],{"class":5555},[5319,6992,5593],{"class":5329},[5319,6994,6995],{"class":5606},"'orange'",[5319,6997,5369],{"class":5329},[5319,6999,5648],{"class":5555},[5319,7001,5593],{"class":5329},[5319,7003,5653],{"class":5606},[5319,7005,5369],{"class":5329},[5319,7007,5658],{"class":5555},[5319,7009,5593],{"class":5329},[5319,7011,5550],{"class":5365},[5319,7013,5369],{"class":5329},[5319,7015,5667],{"class":5555},[5319,7017,5593],{"class":5329},[5319,7019,5673],{"class":5672},[5319,7021,7022],{"class":5606},"'Q1 = ",[5319,7024,5679],{"class":5672},[5319,7026,6653],{"class":5329},[5319,7028,5685],{"class":5672},[5319,7030,7031],{"class":5606},"'",[5319,7033,5630],{"class":5329},[5319,7035,7036,7039,7041,7043,7045,7047,7049,7051,7053,7055,7057,7059,7061,7063,7065,7067,7069,7072,7074,7076,7078,7080],{"class":5321,"line":5837},[5319,7037,7038],{"class":5329},"ax1.axvline(Q3, ",[5319,7040,5622],{"class":5555},[5319,7042,5593],{"class":5329},[5319,7044,6995],{"class":5606},[5319,7046,5369],{"class":5329},[5319,7048,5648],{"class":5555},[5319,7050,5593],{"class":5329},[5319,7052,5653],{"class":5606},[5319,7054,5369],{"class":5329},[5319,7056,5658],{"class":5555},[5319,7058,5593],{"class":5329},[5319,7060,5550],{"class":5365},[5319,7062,5369],{"class":5329},[5319,7064,5667],{"class":5555},[5319,7066,5593],{"class":5329},[5319,7068,5673],{"class":5672},[5319,7070,7071],{"class":5606},"'Q3 = ",[5319,7073,5679],{"class":5672},[5319,7075,6657],{"class":5329},[5319,7077,5685],{"class":5672},[5319,7079,7031],{"class":5606},[5319,7081,5630],{"class":5329},[5319,7083,7084,7087,7089,7091,7093,7095,7097,7099,7102,7104,7106,7108,7110,7112,7114,7116,7118,7121,7123,7126,7128,7130],{"class":5321,"line":5877},[5319,7085,7086],{"class":5329},"ax1.axvline(lower_bound, ",[5319,7088,5622],{"class":5555},[5319,7090,5593],{"class":5329},[5319,7092,5643],{"class":5606},[5319,7094,5369],{"class":5329},[5319,7096,5648],{"class":5555},[5319,7098,5593],{"class":5329},[5319,7100,7101],{"class":5606},"'-'",[5319,7103,5369],{"class":5329},[5319,7105,5658],{"class":5555},[5319,7107,5593],{"class":5329},[5319,7109,5550],{"class":5365},[5319,7111,5369],{"class":5329},[5319,7113,5667],{"class":5555},[5319,7115,5593],{"class":5329},[5319,7117,5673],{"class":5672},[5319,7119,7120],{"class":5606},"'Нижня межа = ",[5319,7122,5679],{"class":5672},[5319,7124,7125],{"class":5329},"lower_bound",[5319,7127,5685],{"class":5672},[5319,7129,7031],{"class":5606},[5319,7131,5630],{"class":5329},[5319,7133,7134,7137,7139,7141,7143,7145,7147,7149,7151,7153,7155,7157,7159,7161,7163,7165,7167,7170,7172,7175,7177,7179],{"class":5321,"line":5926},[5319,7135,7136],{"class":5329},"ax1.axvline(upper_bound, ",[5319,7138,5622],{"class":5555},[5319,7140,5593],{"class":5329},[5319,7142,5643],{"class":5606},[5319,7144,5369],{"class":5329},[5319,7146,5648],{"class":5555},[5319,7148,5593],{"class":5329},[5319,7150,7101],{"class":5606},[5319,7152,5369],{"class":5329},[5319,7154,5658],{"class":5555},[5319,7156,5593],{"class":5329},[5319,7158,5550],{"class":5365},[5319,7160,5369],{"class":5329},[5319,7162,5667],{"class":5555},[5319,7164,5593],{"class":5329},[5319,7166,5673],{"class":5672},[5319,7168,7169],{"class":5606},"'Верхня межа = ",[5319,7171,5679],{"class":5672},[5319,7173,7174],{"class":5329},"upper_bound",[5319,7176,5685],{"class":5672},[5319,7178,7031],{"class":5606},[5319,7180,5630],{"class":5329},[5319,7182,7183,7185,7188,7190,7192,7194,7196],{"class":5321,"line":5975},[5319,7184,5747],{"class":5329},[5319,7186,7187],{"class":5606},"'Значення'",[5319,7189,5369],{"class":5329},[5319,7191,5755],{"class":5555},[5319,7193,5593],{"class":5329},[5319,7195,5760],{"class":5365},[5319,7197,5630],{"class":5329},[5319,7199,7200,7202,7204,7206,7208,7210,7212],{"class":5321,"line":5993},[5319,7201,5768],{"class":5329},[5319,7203,5771],{"class":5606},[5319,7205,5369],{"class":5329},[5319,7207,5755],{"class":5555},[5319,7209,5593],{"class":5329},[5319,7211,5760],{"class":5365},[5319,7213,5630],{"class":5329},[5319,7215,7216,7218,7221,7223,7225,7227,7229],{"class":5321,"line":6011},[5319,7217,5787],{"class":5329},[5319,7219,7220],{"class":5606},"'Метод IQR: межі викидів'",[5319,7222,5369],{"class":5329},[5319,7224,5795],{"class":5555},[5319,7226,5593],{"class":5329},[5319,7228,5800],{"class":5606},[5319,7230,5630],{"class":5329},[5319,7232,7233,7236,7239,7241,7244],{"class":5321,"line":6030},[5319,7234,7235],{"class":5329},"ax1.legend(",[5319,7237,7238],{"class":5555},"loc",[5319,7240,5593],{"class":5329},[5319,7242,7243],{"class":5606},"'upper left'",[5319,7245,5630],{"class":5329},[5319,7247,7248,7250,7252,7254,7256],{"class":5321,"line":6036},[5319,7249,5814],{"class":5329},[5319,7251,5612],{"class":5555},[5319,7253,5593],{"class":5329},[5319,7255,5821],{"class":5365},[5319,7257,5630],{"class":5329},[5319,7259,7260],{"class":5321,"line":6050},[5319,7261,5356],{"emptyLinePlaceholder":5355},[5319,7263,7264],{"class":5321,"line":6055},[5319,7265,7266],{"class":5466},"# Графік 2: Точки (inliers vs outliers)\n",[5319,7268,7269,7272,7275,7277,7280,7283,7286,7288,7290,7292,7294,7296,7299,7301,7304,7306,7308,7310,7313,7315,7317,7319,7322,7324,7327,7329,7331,7333,7336],{"class":5321,"line":6061},[5319,7270,7271],{"class":5329},"ax2.scatter(",[5319,7273,7274],{"class":6075},"range",[5319,7276,6079],{"class":5329},[5319,7278,7279],{"class":6075},"len",[5319,7281,7282],{"class":5329},"(inliers)), inliers, ",[5319,7284,7285],{"class":5555},"c",[5319,7287,5593],{"class":5329},[5319,7289,5703],{"class":5606},[5319,7291,5369],{"class":5329},[5319,7293,5612],{"class":5555},[5319,7295,5593],{"class":5329},[5319,7297,7298],{"class":5365},"0.6",[5319,7300,5369],{"class":5329},[5319,7302,7303],{"class":5555},"s",[5319,7305,5593],{"class":5329},[5319,7307,5377],{"class":5365},[5319,7309,5369],{"class":5329},[5319,7311,7312],{"class":5555},"edgecolors",[5319,7314,5593],{"class":5329},[5319,7316,5607],{"class":5606},[5319,7318,5369],{"class":5329},[5319,7320,7321],{"class":5555},"linewidths",[5319,7323,5593],{"class":5329},[5319,7325,7326],{"class":5365},"0.5",[5319,7328,5369],{"class":5329},[5319,7330,5667],{"class":5555},[5319,7332,5593],{"class":5329},[5319,7334,7335],{"class":5606},"'Нормальні'",[5319,7337,5630],{"class":5329},[5319,7339,7340,7342,7344,7346,7348,7351,7353,7356,7358,7360,7362,7364,7366,7368,7370,7372,7374,7376,7378,7380,7382,7384,7386,7388,7390,7392,7395,7397,7400,7402,7405],{"class":5321,"line":6067},[5319,7341,7271],{"class":5329},[5319,7343,7274],{"class":6075},[5319,7345,6079],{"class":5329},[5319,7347,7279],{"class":6075},[5319,7349,7350],{"class":5329},"(inliers), ",[5319,7352,7279],{"class":6075},[5319,7354,7355],{"class":5329},"(data)), outliers, ",[5319,7357,7285],{"class":5555},[5319,7359,5593],{"class":5329},[5319,7361,5643],{"class":5606},[5319,7363,5369],{"class":5329},[5319,7365,7303],{"class":5555},[5319,7367,5593],{"class":5329},[5319,7369,5505],{"class":5365},[5319,7371,5369],{"class":5329},[5319,7373,7312],{"class":5555},[5319,7375,5593],{"class":5329},[5319,7377,5607],{"class":5606},[5319,7379,5369],{"class":5329},[5319,7381,7321],{"class":5555},[5319,7383,5593],{"class":5329},[5319,7385,5310],{"class":5365},[5319,7387,5369],{"class":5329},[5319,7389,5667],{"class":5555},[5319,7391,5593],{"class":5329},[5319,7393,7394],{"class":5606},"'Викиди'",[5319,7396,5369],{"class":5329},[5319,7398,7399],{"class":5555},"marker",[5319,7401,5593],{"class":5329},[5319,7403,7404],{"class":5606},"'^'",[5319,7406,5630],{"class":5329},[5319,7408,7409,7412,7414,7416,7418,7420,7422,7424,7426,7428,7430,7432,7434,7436,7438,7440,7442],{"class":5321,"line":6072},[5319,7410,7411],{"class":5329},"ax2.axhline(lower_bound, ",[5319,7413,5622],{"class":5555},[5319,7415,5593],{"class":5329},[5319,7417,5643],{"class":5606},[5319,7419,5369],{"class":5329},[5319,7421,5648],{"class":5555},[5319,7423,5593],{"class":5329},[5319,7425,5653],{"class":5606},[5319,7427,5369],{"class":5329},[5319,7429,5658],{"class":5555},[5319,7431,5593],{"class":5329},[5319,7433,6872],{"class":5365},[5319,7435,5369],{"class":5329},[5319,7437,5612],{"class":5555},[5319,7439,5593],{"class":5329},[5319,7441,5617],{"class":5365},[5319,7443,5630],{"class":5329},[5319,7445,7446,7449,7451,7453,7455,7457,7459,7461,7463,7465,7467,7469,7471,7473,7475,7477,7479],{"class":5321,"line":6094},[5319,7447,7448],{"class":5329},"ax2.axhline(upper_bound, ",[5319,7450,5622],{"class":5555},[5319,7452,5593],{"class":5329},[5319,7454,5643],{"class":5606},[5319,7456,5369],{"class":5329},[5319,7458,5648],{"class":5555},[5319,7460,5593],{"class":5329},[5319,7462,5653],{"class":5606},[5319,7464,5369],{"class":5329},[5319,7466,5658],{"class":5555},[5319,7468,5593],{"class":5329},[5319,7470,6872],{"class":5365},[5319,7472,5369],{"class":5329},[5319,7474,5612],{"class":5555},[5319,7476,5593],{"class":5329},[5319,7478,5617],{"class":5365},[5319,7480,5630],{"class":5329},[5319,7482,7483,7485,7488,7490,7492,7494,7496],{"class":5321,"line":6139},[5319,7484,5978],{"class":5329},[5319,7486,7487],{"class":5606},"'Індекс'",[5319,7489,5369],{"class":5329},[5319,7491,5755],{"class":5555},[5319,7493,5593],{"class":5329},[5319,7495,5760],{"class":5365},[5319,7497,5630],{"class":5329},[5319,7499,7500,7502,7504,7506,7508,7510,7512],{"class":5321,"line":6157},[5319,7501,5996],{"class":5329},[5319,7503,7187],{"class":5606},[5319,7505,5369],{"class":5329},[5319,7507,5755],{"class":5555},[5319,7509,5593],{"class":5329},[5319,7511,5760],{"class":5365},[5319,7513,5630],{"class":5329},[5319,7515,7516,7518,7521,7523,7525,7527,7529],{"class":5321,"line":6211},[5319,7517,6014],{"class":5329},[5319,7519,7520],{"class":5606},"'Виявлені викиди'",[5319,7522,5369],{"class":5329},[5319,7524,5795],{"class":5555},[5319,7526,5593],{"class":5329},[5319,7528,5800],{"class":5606},[5319,7530,5630],{"class":5329},[5319,7532,7533],{"class":5321,"line":6258},[5319,7534,6033],{"class":5329},[5319,7536,7537,7539,7541,7543,7545],{"class":5321,"line":6307},[5319,7538,6039],{"class":5329},[5319,7540,5612],{"class":5555},[5319,7542,5593],{"class":5329},[5319,7544,5821],{"class":5365},[5319,7546,5630],{"class":5329},[5319,7548,7549],{"class":5321,"line":6312},[5319,7550,5356],{"emptyLinePlaceholder":5355},[5319,7552,7553],{"class":5321,"line":6328},[5319,7554,6058],{"class":5329},[5319,7556,7557],{"class":5321,"line":6340},[5319,7558,6064],{"class":5329},[5319,7560,7561],{"class":5321,"line":6352},[5319,7562,5356],{"emptyLinePlaceholder":5355},[5319,7564,7566,7568,7570,7573,7575,7577],{"class":5321,"line":7565},54,[5319,7567,6076],{"class":6075},[5319,7569,6079],{"class":5329},[5319,7571,7572],{"class":5606},"\"📊 Результати методу IQR:",[5319,7574,6086],{"class":6085},[5319,7576,6089],{"class":5606},[5319,7578,5630],{"class":5329},[5319,7580,7582,7584,7586,7588,7591,7593,7595,7598,7600],{"class":5321,"line":7581},55,[5319,7583,6076],{"class":6075},[5319,7585,6079],{"class":5329},[5319,7587,5673],{"class":5672},[5319,7589,7590],{"class":5606},"\"  Q1 (25-й перцентиль): ",[5319,7592,5679],{"class":5672},[5319,7594,6653],{"class":5329},[5319,7596,7597],{"class":5672},":.2f}",[5319,7599,6089],{"class":5606},[5319,7601,5630],{"class":5329},[5319,7603,7605,7607,7609,7611,7614,7616,7618,7620,7622],{"class":5321,"line":7604},56,[5319,7606,6076],{"class":6075},[5319,7608,6079],{"class":5329},[5319,7610,5673],{"class":5672},[5319,7612,7613],{"class":5606},"\"  Q3 (75-й перцентиль): ",[5319,7615,5679],{"class":5672},[5319,7617,6657],{"class":5329},[5319,7619,7597],{"class":5672},[5319,7621,6089],{"class":5606},[5319,7623,5630],{"class":5329},[5319,7625,7627,7629,7631,7633,7636,7638,7640,7642,7644],{"class":5321,"line":7626},57,[5319,7628,6076],{"class":6075},[5319,7630,6079],{"class":5329},[5319,7632,5673],{"class":5672},[5319,7634,7635],{"class":5606},"\"  IQR: ",[5319,7637,5679],{"class":5672},[5319,7639,6663],{"class":5329},[5319,7641,7597],{"class":5672},[5319,7643,6089],{"class":5606},[5319,7645,5630],{"class":5329},[5319,7647,7649,7651,7653,7655,7658,7660,7662,7664,7666],{"class":5321,"line":7648},58,[5319,7650,6076],{"class":6075},[5319,7652,6079],{"class":5329},[5319,7654,5673],{"class":5672},[5319,7656,7657],{"class":5606},"\"  Нижня межа: ",[5319,7659,5679],{"class":5672},[5319,7661,7125],{"class":5329},[5319,7663,7597],{"class":5672},[5319,7665,6089],{"class":5606},[5319,7667,5630],{"class":5329},[5319,7669,7671,7673,7675,7677,7680,7682,7684,7686,7688],{"class":5321,"line":7670},59,[5319,7672,6076],{"class":6075},[5319,7674,6079],{"class":5329},[5319,7676,5673],{"class":5672},[5319,7678,7679],{"class":5606},"\"  Верхня межа: ",[5319,7681,5679],{"class":5672},[5319,7683,7174],{"class":5329},[5319,7685,7597],{"class":5672},[5319,7687,6089],{"class":5606},[5319,7689,5630],{"class":5329},[5319,7691,7693,7695,7697,7699,7701,7703,7706,7708,7710,7713,7716,7719,7721,7723,7726,7728,7730,7732,7734,7737,7739,7742,7744,7746,7749],{"class":5321,"line":7692},60,[5319,7694,6076],{"class":6075},[5319,7696,6079],{"class":5329},[5319,7698,5673],{"class":5672},[5319,7700,6089],{"class":5606},[5319,7702,6086],{"class":6085},[5319,7704,7705],{"class":5606},"🔍 Виявлено викидів: ",[5319,7707,5679],{"class":5672},[5319,7709,7279],{"class":6075},[5319,7711,7712],{"class":5329},"(outliers)",[5319,7714,7715],{"class":5672},"}",[5319,7717,7718],{"class":5606}," \u002F ",[5319,7720,5679],{"class":5672},[5319,7722,7279],{"class":6075},[5319,7724,7725],{"class":5329},"(data)",[5319,7727,7715],{"class":5672},[5319,7729,6397],{"class":5606},[5319,7731,5679],{"class":5672},[5319,7733,7279],{"class":6075},[5319,7735,7736],{"class":5329},"(outliers)\u002F",[5319,7738,7279],{"class":6075},[5319,7740,7741],{"class":5329},"(data)*",[5319,7743,5505],{"class":5365},[5319,7745,5685],{"class":5672},[5319,7747,7748],{"class":5606},"%)\"",[5319,7750,5630],{"class":5329},[5319,7752,7754,7756,7758,7760,7763,7765,7768,7770,7772,7774],{"class":5321,"line":7753},61,[5319,7755,6076],{"class":6075},[5319,7757,6079],{"class":5329},[5319,7759,5673],{"class":5672},[5319,7761,7762],{"class":5606},"\"  Викиди: ",[5319,7764,5679],{"class":5672},[5319,7766,7767],{"class":6075},"sorted",[5319,7769,7712],{"class":5329},[5319,7771,7715],{"class":5672},[5319,7773,6089],{"class":5606},[5319,7775,5630],{"class":5329},[6363,7777,7778,7785],{"v-slot:output":5274},[5261,7779,7780],{},[6368,7781],{"alt":7782,"className":7783,"src":7784},"Виявлення викидів за допомогою методу міжквартильного розмаху (IQR)",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F02.png",[5265,7786,7789],{"className":7787,"code":7788,"language":5270},[5268],"📊 Результати методу IQR:\n\n  Q1 (25-й перцентиль): 42.45\n  Q3 (75-й перцентиль): 57.78\n  IQR: 15.33\n  Нижня межа: 19.45\n  Верхня межа: 80.78\n\n🔍 Виявлено викидів: 5 \u002F 100 (5.0%)\n  Викиди: [10.0, 15.0, 90.0, 95.0, 100.0]\n",[5272,7790,7788],{"__ignoreMap":5274},[5304,7792,7794],{"id":7793},"box-plot-діаграма-ящик-з-вусами","Box Plot (діаграма «ящик з вусами»)",[5261,7796,7797,7799],{},[5224,7798,5244],{}," — найкращий спосіб візуалізувати викиди методом IQR. Він показує:",[5198,7801,7802,7808,7814,7820],{},[5201,7803,7804,7807],{},[5224,7805,7806],{},"Ящик"," (box) — від Q1 до Q3 (50% середніх даних)",[5201,7809,7810,7813],{},[5224,7811,7812],{},"Лінія всередині ящика"," — медіана (Q2)",[5201,7815,7816,7819],{},[5224,7817,7818],{},"Вуса"," (whiskers) — від Q1 − 1.5×IQR до Q3 + 1.5×IQR",[5201,7821,7822,7825],{},[5224,7823,7824],{},"Точки поза вусами"," — викиди",[5295,7827,7829,7835],{"kernel":5297,"title":7828},"box_plot_visualization.ipynb",[5300,7830,7831],{"type":5302},[5304,7832,7834],{"id":7833},"box-plot-візуалізація-викидів","Box Plot: візуалізація викидів",[5300,7836,7837,8611],{"execution-count":5310},[5265,7838,7840],{"className":5313,"code":7839,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\n\nrng = np.random.default_rng(seed=42)\n\n# Три датасети з різною кількістю викидів\ndata_clean = rng.normal(50, 10, 100)\ndata_few_outliers = np.concatenate([rng.normal(50, 10, 95), np.array([10, 15, 90, 95, 100])])\ndata_many_outliers = np.concatenate([rng.normal(50, 10, 80), rng.uniform(0, 20, 10), rng.uniform(80, 100, 10)])\n\ndatasets = [data_clean, data_few_outliers, data_many_outliers]\nlabels = ['Без викидів', 'Кілька викидів (5%)', 'Багато викидів (20%)']\n\n# Візуалізація\nfig, axes = plt.subplots(1, 3, figsize=(15, 5))\n\nfor ax, data, label in zip(axes, datasets, labels):\n    bp = ax.boxplot(data, vert=True, patch_artist=True, \n                     boxprops=dict(facecolor='lightblue', edgecolor='black'),\n                     whiskerprops=dict(color='black', linewidth=1.5),\n                     capprops=dict(color='black', linewidth=1.5),\n                     medianprops=dict(color='red', linewidth=2),\n                     flierprops=dict(marker='o', markerfacecolor='red', markersize=8, linestyle='none', markeredgecolor='black'))\n    \n    ax.set_ylabel('Значення', fontsize=12)\n    ax.set_title(label, fontweight='bold', fontsize=12)\n    ax.grid(axis='y', alpha=0.3)\n    \n    # Анотації\n    Q1 = np.percentile(data, 25)\n    Q3 = np.percentile(data, 75)\n    median = np.median(data)\n    \n    ax.text(1.15, Q1, f'Q1={Q1:.1f}', fontsize=9, va='center')\n    ax.text(1.15, Q3, f'Q3={Q3:.1f}', fontsize=9, va='center')\n    ax.text(1.15, median, f'Q2={median:.1f}', fontsize=9, va='center', color='red', fontweight='bold')\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📦 Інтерпретація Box Plot:\\n\")\nprint(\"  🟦 Ящик (box): 50% середніх даних (від Q1 до Q3)\")\nprint(\"  🔴 Червона лінія: медіана (Q2)\")\nprint(\"  📏 Вуса (whiskers): від Q1−1.5×IQR до Q3+1.5×IQR\")\nprint(\"  🔴 Червоні точки: викиди (поза вусами)\")\nprint(\"\\n💡 Чим довші вуса → тим більший розкид даних\")\nprint(\"💡 Чим більше червоних точок → тим більше викидів\")\n",[5272,7841,7842,7852,7862,7866,7878,7882,7887,7904,7943,7988,7992,7997,8017,8021,8025,8051,8055,8072,8097,8128,8155,8182,8209,8266,8271,8288,8309,8332,8336,8341,8350,8359,8364,8368,8413,8453,8510,8514,8518,8522,8526,8541,8552,8563,8574,8585,8600],{"__ignoreMap":5274},[5319,7843,7844,7846,7848,7850],{"class":5321,"line":5322},[5319,7845,5326],{"class":5325},[5319,7847,5330],{"class":5329},[5319,7849,5333],{"class":5325},[5319,7851,5336],{"class":5329},[5319,7853,7854,7856,7858,7860],{"class":5321,"line":5339},[5319,7855,5326],{"class":5325},[5319,7857,5344],{"class":5329},[5319,7859,5333],{"class":5325},[5319,7861,5349],{"class":5329},[5319,7863,7864],{"class":5321,"line":5352},[5319,7865,5356],{"emptyLinePlaceholder":5355},[5319,7867,7868,7870,7872,7874,7876],{"class":5321,"line":5359},[5319,7869,6740],{"class":5329},[5319,7871,6743],{"class":5555},[5319,7873,5593],{"class":5329},[5319,7875,6748],{"class":5365},[5319,7877,5630],{"class":5329},[5319,7879,7880],{"class":5321,"line":5458},[5319,7881,5356],{"emptyLinePlaceholder":5355},[5319,7883,7884],{"class":5321,"line":5463},[5319,7885,7886],{"class":5466},"# Три датасети з різною кількістю викидів\n",[5319,7888,7889,7892,7894,7896,7898,7900,7902],{"class":5321,"line":5470},[5319,7890,7891],{"class":5329},"data_clean = rng.normal(",[5319,7893,5377],{"class":5365},[5319,7895,5369],{"class":5329},[5319,7897,5847],{"class":5365},[5319,7899,5369],{"class":5329},[5319,7901,5505],{"class":5365},[5319,7903,5630],{"class":5329},[5319,7905,7906,7909,7911,7913,7915,7917,7919,7922,7924,7926,7928,7930,7932,7934,7936,7938,7940],{"class":5321,"line":5476},[5319,7907,7908],{"class":5329},"data_few_outliers = np.concatenate([rng.normal(",[5319,7910,5377],{"class":5365},[5319,7912,5369],{"class":5329},[5319,7914,5847],{"class":5365},[5319,7916,5369],{"class":5329},[5319,7918,6780],{"class":5365},[5319,7920,7921],{"class":5329},"), np.array([",[5319,7923,5847],{"class":5365},[5319,7925,5369],{"class":5329},[5319,7927,6798],{"class":5365},[5319,7929,5369],{"class":5329},[5319,7931,6803],{"class":5365},[5319,7933,5369],{"class":5329},[5319,7935,6780],{"class":5365},[5319,7937,5369],{"class":5329},[5319,7939,5505],{"class":5365},[5319,7941,7942],{"class":5329},"])])\n",[5319,7944,7945,7948,7950,7952,7954,7956,7959,7962,7965,7967,7969,7971,7973,7975,7977,7979,7981,7983,7985],{"class":5321,"line":5482},[5319,7946,7947],{"class":5329},"data_many_outliers = np.concatenate([rng.normal(",[5319,7949,5377],{"class":5365},[5319,7951,5369],{"class":5329},[5319,7953,5847],{"class":5365},[5319,7955,5369],{"class":5329},[5319,7957,7958],{"class":5365},"80",[5319,7960,7961],{"class":5329},"), rng.uniform(",[5319,7963,7964],{"class":5365},"0",[5319,7966,5369],{"class":5329},[5319,7968,5596],{"class":5365},[5319,7970,5369],{"class":5329},[5319,7972,5847],{"class":5365},[5319,7974,7961],{"class":5329},[5319,7976,7958],{"class":5365},[5319,7978,5369],{"class":5329},[5319,7980,5505],{"class":5365},[5319,7982,5369],{"class":5329},[5319,7984,5847],{"class":5365},[5319,7986,7987],{"class":5329},")])\n",[5319,7989,7990],{"class":5321,"line":5488},[5319,7991,5356],{"emptyLinePlaceholder":5355},[5319,7993,7994],{"class":5321,"line":5493},[5319,7995,7996],{"class":5329},"datasets = [data_clean, data_few_outliers, data_many_outliers]\n",[5319,7998,7999,8002,8005,8007,8010,8012,8015],{"class":5321,"line":5499},[5319,8000,8001],{"class":5329},"labels = [",[5319,8003,8004],{"class":5606},"'Без викидів'",[5319,8006,5369],{"class":5329},[5319,8008,8009],{"class":5606},"'Кілька викидів (5%)'",[5319,8011,5369],{"class":5329},[5319,8013,8014],{"class":5606},"'Багато викидів (20%)'",[5319,8016,5508],{"class":5329},[5319,8018,8019],{"class":5321,"line":5511},[5319,8020,5356],{"emptyLinePlaceholder":5355},[5319,8022,8023],{"class":5321,"line":5517},[5319,8024,5537],{"class":5466},[5319,8026,8027,8030,8032,8034,8037,8039,8041,8043,8045,8047,8049],{"class":5321,"line":5523},[5319,8028,8029],{"class":5329},"fig, axes = plt.subplots(",[5319,8031,5310],{"class":5365},[5319,8033,5369],{"class":5329},[5319,8035,8036],{"class":5365},"3",[5319,8038,5369],{"class":5329},[5319,8040,5556],{"class":5555},[5319,8042,5559],{"class":5329},[5319,8044,6798],{"class":5365},[5319,8046,5369],{"class":5329},[5319,8048,5567],{"class":5365},[5319,8050,5570],{"class":5329},[5319,8052,8053],{"class":5321,"line":5529},[5319,8054,5356],{"emptyLinePlaceholder":5355},[5319,8056,8057,8060,8063,8066,8069],{"class":5321,"line":5534},[5319,8058,8059],{"class":5325},"for",[5319,8061,8062],{"class":5329}," ax, data, label ",[5319,8064,8065],{"class":5325},"in",[5319,8067,8068],{"class":6075}," zip",[5319,8070,8071],{"class":5329},"(axes, datasets, labels):\n",[5319,8073,8074,8077,8080,8082,8085,8087,8090,8092,8094],{"class":5321,"line":5540},[5319,8075,8076],{"class":5329},"    bp = ax.boxplot(data, ",[5319,8078,8079],{"class":5555},"vert",[5319,8081,5593],{"class":5329},[5319,8083,8084],{"class":5672},"True",[5319,8086,5369],{"class":5329},[5319,8088,8089],{"class":5555},"patch_artist",[5319,8091,5593],{"class":5329},[5319,8093,8084],{"class":5672},[5319,8095,8096],{"class":5329},", \n",[5319,8098,8099,8102,8104,8108,8110,8113,8115,8117,8119,8121,8123,8125],{"class":5321,"line":5573},[5319,8100,8101],{"class":5555},"                     boxprops",[5319,8103,5593],{"class":5329},[5319,8105,8107],{"class":8106},"sN1BT","dict",[5319,8109,6079],{"class":5329},[5319,8111,8112],{"class":5555},"facecolor",[5319,8114,5593],{"class":5329},[5319,8116,6981],{"class":5606},[5319,8118,5369],{"class":5329},[5319,8120,5601],{"class":5555},[5319,8122,5593],{"class":5329},[5319,8124,5607],{"class":5606},[5319,8126,8127],{"class":5329},"),\n",[5319,8129,8130,8133,8135,8137,8139,8141,8143,8145,8147,8149,8151,8153],{"class":5321,"line":5578},[5319,8131,8132],{"class":5555},"                     whiskerprops",[5319,8134,5593],{"class":5329},[5319,8136,8107],{"class":8106},[5319,8138,6079],{"class":5329},[5319,8140,5622],{"class":5555},[5319,8142,5593],{"class":5329},[5319,8144,5607],{"class":5606},[5319,8146,5369],{"class":5329},[5319,8148,5658],{"class":5555},[5319,8150,5593],{"class":5329},[5319,8152,6872],{"class":5365},[5319,8154,8127],{"class":5329},[5319,8156,8157,8160,8162,8164,8166,8168,8170,8172,8174,8176,8178,8180],{"class":5321,"line":5584},[5319,8158,8159],{"class":5555},"                     capprops",[5319,8161,5593],{"class":5329},[5319,8163,8107],{"class":8106},[5319,8165,6079],{"class":5329},[5319,8167,5622],{"class":5555},[5319,8169,5593],{"class":5329},[5319,8171,5607],{"class":5606},[5319,8173,5369],{"class":5329},[5319,8175,5658],{"class":5555},[5319,8177,5593],{"class":5329},[5319,8179,6872],{"class":5365},[5319,8181,8127],{"class":5329},[5319,8183,8184,8187,8189,8191,8193,8195,8197,8199,8201,8203,8205,8207],{"class":5321,"line":5633},[5319,8185,8186],{"class":5555},"                     medianprops",[5319,8188,5593],{"class":5329},[5319,8190,8107],{"class":8106},[5319,8192,6079],{"class":5329},[5319,8194,5622],{"class":5555},[5319,8196,5593],{"class":5329},[5319,8198,5643],{"class":5606},[5319,8200,5369],{"class":5329},[5319,8202,5658],{"class":5555},[5319,8204,5593],{"class":5329},[5319,8206,5550],{"class":5365},[5319,8208,8127],{"class":5329},[5319,8210,8211,8214,8216,8218,8220,8222,8224,8227,8229,8232,8234,8236,8238,8241,8243,8246,8248,8250,8252,8255,8257,8260,8262,8264],{"class":5321,"line":5693},[5319,8212,8213],{"class":5555},"                     flierprops",[5319,8215,5593],{"class":5329},[5319,8217,8107],{"class":8106},[5319,8219,6079],{"class":5329},[5319,8221,7399],{"class":5555},[5319,8223,5593],{"class":5329},[5319,8225,8226],{"class":5606},"'o'",[5319,8228,5369],{"class":5329},[5319,8230,8231],{"class":5555},"markerfacecolor",[5319,8233,5593],{"class":5329},[5319,8235,5643],{"class":5606},[5319,8237,5369],{"class":5329},[5319,8239,8240],{"class":5555},"markersize",[5319,8242,5593],{"class":5329},[5319,8244,8245],{"class":5365},"8",[5319,8247,5369],{"class":5329},[5319,8249,5648],{"class":5555},[5319,8251,5593],{"class":5329},[5319,8253,8254],{"class":5606},"'none'",[5319,8256,5369],{"class":5329},[5319,8258,8259],{"class":5555},"markeredgecolor",[5319,8261,5593],{"class":5329},[5319,8263,5607],{"class":5606},[5319,8265,5570],{"class":5329},[5319,8267,8268],{"class":5321,"line":5744},[5319,8269,8270],{"class":5329},"    \n",[5319,8272,8273,8276,8278,8280,8282,8284,8286],{"class":5321,"line":5765},[5319,8274,8275],{"class":5329},"    ax.set_ylabel(",[5319,8277,7187],{"class":5606},[5319,8279,5369],{"class":5329},[5319,8281,5755],{"class":5555},[5319,8283,5593],{"class":5329},[5319,8285,5760],{"class":5365},[5319,8287,5630],{"class":5329},[5319,8289,8290,8293,8295,8297,8299,8301,8303,8305,8307],{"class":5321,"line":5784},[5319,8291,8292],{"class":5329},"    ax.set_title(label, ",[5319,8294,5795],{"class":5555},[5319,8296,5593],{"class":5329},[5319,8298,5800],{"class":5606},[5319,8300,5369],{"class":5329},[5319,8302,5755],{"class":5555},[5319,8304,5593],{"class":5329},[5319,8306,5760],{"class":5365},[5319,8308,5630],{"class":5329},[5319,8310,8311,8314,8317,8319,8322,8324,8326,8328,8330],{"class":5321,"line":5805},[5319,8312,8313],{"class":5329},"    ax.grid(",[5319,8315,8316],{"class":5555},"axis",[5319,8318,5593],{"class":5329},[5319,8320,8321],{"class":5606},"'y'",[5319,8323,5369],{"class":5329},[5319,8325,5612],{"class":5555},[5319,8327,5593],{"class":5329},[5319,8329,5821],{"class":5365},[5319,8331,5630],{"class":5329},[5319,8333,8334],{"class":5321,"line":5811},[5319,8335,8270],{"class":5329},[5319,8337,8338],{"class":5321,"line":5826},[5319,8339,8340],{"class":5466},"    # Анотації\n",[5319,8342,8343,8346,8348],{"class":5321,"line":5831},[5319,8344,8345],{"class":5329},"    Q1 = np.percentile(data, ",[5319,8347,6838],{"class":5365},[5319,8349,5630],{"class":5329},[5319,8351,8352,8355,8357],{"class":5321,"line":5837},[5319,8353,8354],{"class":5329},"    Q3 = np.percentile(data, ",[5319,8356,6848],{"class":5365},[5319,8358,5630],{"class":5329},[5319,8360,8361],{"class":5321,"line":5877},[5319,8362,8363],{"class":5329},"    median = np.median(data)\n",[5319,8365,8366],{"class":5321,"line":5926},[5319,8367,8270],{"class":5329},[5319,8369,8370,8373,8376,8379,8381,8384,8386,8388,8390,8392,8394,8396,8398,8401,8403,8406,8408,8411],{"class":5321,"line":5975},[5319,8371,8372],{"class":5329},"    ax.text(",[5319,8374,8375],{"class":5365},"1.15",[5319,8377,8378],{"class":5329},", Q1, ",[5319,8380,5673],{"class":5672},[5319,8382,8383],{"class":5606},"'Q1=",[5319,8385,5679],{"class":5672},[5319,8387,6653],{"class":5329},[5319,8389,5685],{"class":5672},[5319,8391,7031],{"class":5606},[5319,8393,5369],{"class":5329},[5319,8395,5755],{"class":5555},[5319,8397,5593],{"class":5329},[5319,8399,8400],{"class":5365},"9",[5319,8402,5369],{"class":5329},[5319,8404,8405],{"class":5555},"va",[5319,8407,5593],{"class":5329},[5319,8409,8410],{"class":5606},"'center'",[5319,8412,5630],{"class":5329},[5319,8414,8415,8417,8419,8422,8424,8427,8429,8431,8433,8435,8437,8439,8441,8443,8445,8447,8449,8451],{"class":5321,"line":5993},[5319,8416,8372],{"class":5329},[5319,8418,8375],{"class":5365},[5319,8420,8421],{"class":5329},", Q3, ",[5319,8423,5673],{"class":5672},[5319,8425,8426],{"class":5606},"'Q3=",[5319,8428,5679],{"class":5672},[5319,8430,6657],{"class":5329},[5319,8432,5685],{"class":5672},[5319,8434,7031],{"class":5606},[5319,8436,5369],{"class":5329},[5319,8438,5755],{"class":5555},[5319,8440,5593],{"class":5329},[5319,8442,8400],{"class":5365},[5319,8444,5369],{"class":5329},[5319,8446,8405],{"class":5555},[5319,8448,5593],{"class":5329},[5319,8450,8410],{"class":5606},[5319,8452,5630],{"class":5329},[5319,8454,8455,8457,8459,8462,8464,8467,8469,8472,8474,8476,8478,8480,8482,8484,8486,8488,8490,8492,8494,8496,8498,8500,8502,8504,8506,8508],{"class":5321,"line":6011},[5319,8456,8372],{"class":5329},[5319,8458,8375],{"class":5365},[5319,8460,8461],{"class":5329},", median, ",[5319,8463,5673],{"class":5672},[5319,8465,8466],{"class":5606},"'Q2=",[5319,8468,5679],{"class":5672},[5319,8470,8471],{"class":5329},"median",[5319,8473,5685],{"class":5672},[5319,8475,7031],{"class":5606},[5319,8477,5369],{"class":5329},[5319,8479,5755],{"class":5555},[5319,8481,5593],{"class":5329},[5319,8483,8400],{"class":5365},[5319,8485,5369],{"class":5329},[5319,8487,8405],{"class":5555},[5319,8489,5593],{"class":5329},[5319,8491,8410],{"class":5606},[5319,8493,5369],{"class":5329},[5319,8495,5622],{"class":5555},[5319,8497,5593],{"class":5329},[5319,8499,5643],{"class":5606},[5319,8501,5369],{"class":5329},[5319,8503,5795],{"class":5555},[5319,8505,5593],{"class":5329},[5319,8507,5800],{"class":5606},[5319,8509,5630],{"class":5329},[5319,8511,8512],{"class":5321,"line":6030},[5319,8513,5356],{"emptyLinePlaceholder":5355},[5319,8515,8516],{"class":5321,"line":6036},[5319,8517,6058],{"class":5329},[5319,8519,8520],{"class":5321,"line":6050},[5319,8521,6064],{"class":5329},[5319,8523,8524],{"class":5321,"line":6055},[5319,8525,5356],{"emptyLinePlaceholder":5355},[5319,8527,8528,8530,8532,8535,8537,8539],{"class":5321,"line":6061},[5319,8529,6076],{"class":6075},[5319,8531,6079],{"class":5329},[5319,8533,8534],{"class":5606},"\"📦 Інтерпретація Box Plot:",[5319,8536,6086],{"class":6085},[5319,8538,6089],{"class":5606},[5319,8540,5630],{"class":5329},[5319,8542,8543,8545,8547,8550],{"class":5321,"line":6067},[5319,8544,6076],{"class":6075},[5319,8546,6079],{"class":5329},[5319,8548,8549],{"class":5606},"\"  🟦 Ящик (box): 50% середніх даних (від Q1 до Q3)\"",[5319,8551,5630],{"class":5329},[5319,8553,8554,8556,8558,8561],{"class":5321,"line":6072},[5319,8555,6076],{"class":6075},[5319,8557,6079],{"class":5329},[5319,8559,8560],{"class":5606},"\"  🔴 Червона лінія: медіана (Q2)\"",[5319,8562,5630],{"class":5329},[5319,8564,8565,8567,8569,8572],{"class":5321,"line":6094},[5319,8566,6076],{"class":6075},[5319,8568,6079],{"class":5329},[5319,8570,8571],{"class":5606},"\"  📏 Вуса (whiskers): від Q1−1.5×IQR до Q3+1.5×IQR\"",[5319,8573,5630],{"class":5329},[5319,8575,8576,8578,8580,8583],{"class":5321,"line":6139},[5319,8577,6076],{"class":6075},[5319,8579,6079],{"class":5329},[5319,8581,8582],{"class":5606},"\"  🔴 Червоні точки: викиди (поза вусами)\"",[5319,8584,5630],{"class":5329},[5319,8586,8587,8589,8591,8593,8595,8598],{"class":5321,"line":6157},[5319,8588,6076],{"class":6075},[5319,8590,6079],{"class":5329},[5319,8592,6089],{"class":5606},[5319,8594,6086],{"class":6085},[5319,8596,8597],{"class":5606},"💡 Чим довші вуса → тим більший розкид даних\"",[5319,8599,5630],{"class":5329},[5319,8601,8602,8604,8606,8609],{"class":5321,"line":6211},[5319,8603,6076],{"class":6075},[5319,8605,6079],{"class":5329},[5319,8607,8608],{"class":5606},"\"💡 Чим більше червоних точок → тим більше викидів\"",[5319,8610,5630],{"class":5329},[6363,8612,8613,8620],{"v-slot:output":5274},[5261,8614,8615],{},[6368,8616],{"alt":8617,"className":8618,"src":8619},"Анатомія коробкового графіка (Box plot) та виявлення аномалій",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F03.png",[5265,8621,8624],{"className":8622,"code":8623,"language":5270},[5268],"📦 Інтерпретація Box Plot:\n\n  🟦 Ящик (box): 50% середніх даних (від Q1 до Q3)\n  🔴 Червона лінія: медіана (Q2)\n  📏 Вуса (whiskers): від Q1−1.5×IQR до Q3+1.5×IQR\n  🔴 Червоні точки: викиди (поза вусами)\n\n💡 Чим довші вуса → тим більший розкид даних\n💡 Чим більше червоних точок → тим більше викидів\n",[5272,8625,8623],{"__ignoreMap":5274},[8627,8628,8629,8634,8648,8653],"tip",{},[5261,8630,8631],{},[5224,8632,8633],{},"Коли використовувати метод IQR:",[5198,8635,8636,8639,8642,8645],{},[5201,8637,8638],{},"✅ Дані не обов'язково нормальні (робастний метод)",[5201,8640,8641],{},"✅ Потрібна візуалізація (box plot)",[5201,8643,8644],{},"✅ Швидке виявлення екстремальних значень",[5201,8646,8647],{},"✅ Універсальний для більшості типів даних",[5261,8649,8650],{},[5224,8651,8652],{},"Обмеження:",[5198,8654,8655,8658],{},[5201,8656,8657],{},"❌ Не враховує форму розподілу",[5201,8659,8660],{},"❌ Може пропустити викиди в дуже скошених розподілах",[5253,8662],{},[5256,8664,8666],{"id":8665},"метод-2-z-score-стандартизація","Метод 2: Z-Score (Стандартизація)",[5261,8668,8669,8671,8672,8675,8676,8679],{},[5224,8670,5238],{}," виявляє викиди через ",[5224,8673,8674],{},"стандартні відхилення"," від середнього. Підходить для ",[5224,8677,8678],{},"нормально розподілених"," даних.",[5304,8681,8683],{"id":8682},"алгоритм","Алгоритм",[6412,8685,8686],{},[5201,8687,6650,8688,8691],{},[5224,8689,8690],{},"Z-оцінку"," для кожного значення:",[6688,8693],{"tex":8694},"z = \\frac{x - \\mu}{\\sigma}",[6412,8696,8697,8703],{"start":5339},[5201,8698,6667,8699,8702],{},[5224,8700,8701],{},"поріг"," (зазвичай |z| > 3)",[5201,8704,8705],{},"Значення з |z| > поріг = викиди",[5261,8707,8708,8711],{},[5224,8709,8710],{},"Інтуїція:"," Згадайте правило 68-95-99.7:",[5198,8713,8714,8717],{},[5201,8715,8716],{},"99.7% даних лежать у межах μ ± 3σ",[5201,8718,8719],{},"Отже, |z| > 3 → значення екстремально рідкісне (\u003C 0.3% ймовірність)",[5193,8721,8724,8727],{"icon":8722,"title":8723},"i-lucide-binary","Анатомія математичної формули Z-score",[5261,8725,8726],{},"Формула стандартизації перетворює значення будь-якої фізичної природи (долари, мілісекунди, гігабайти) на безрозмірне число, яке показує відхилення в масштабі самого процесу:",[6412,8728,8729,8742,8761],{},[5201,8730,8731,6590,8734],{},[5224,8732,8733],{},"Центрування ($(x - \\mu)$)",[5198,8735,8736,8739],{},[5201,8737,8738],{},"Віднімання математичного сподівання знаходить абсолютну векторну відстань спостереження від центру розподілу. Якщо $x > \\mu$, чисельник додатний; якщо $x \u003C \\mu$ — від'ємний.",[5201,8740,8741],{},"Фізична розмірність на цьому кроці зберігається (наприклад, $1500\\text{ ms} - 200\\text{ ms} = +1300\\text{ ms}$).",[5201,8743,8744,6590,8747],{},[5224,8745,8746],{},"Масштабування ($\\frac{1}{\\sigma}$)",[5198,8748,8749,8755],{},[5201,8750,8751,8752,6609],{},"Ділення на стандартне відхилення слугує «універсальною калібрувальною лінійкою». Воно відповідає на питання: ",[6399,8753,8754],{},"«Скільки типових інтервалів розкиду міститься в цьому конкретному відхиленні?»",[5201,8756,8757,8758,6609],{},"Одиниці вимірювання чисельника та знаменника взаємно скорочуються ($\\frac{\\text{ms}}{\\text{ms}}$), утворюючи ",[5224,8759,8760],{},"абсолютно безрозмірний індекс",[5201,8762,8763,6590,8766],{},[5224,8764,8765],{},"Практична інтерпретація результату $z$",[5198,8767,8768,8771,8774],{},[5201,8769,8770],{},"$z = 0$: значення ідеально збігається з центром вибірки.",[5201,8772,8773],{},"$z = +3.5$: точка віддалена від середнього на три з половиною типових розмахи вгору.",[5201,8775,8776],{},"Завдяки Z-score інженер може на одному графіку відстежувати аномальність параметрів несумісних розмірностей: наприклад, порівнювати, що є більшою аномалією в конкретну секунду — навантаження CPU ($z = +3.1$) чи затримка звернення до бази даних ($z = +5.4$).",[5295,8778,8780,8786],{"kernel":5297,"title":8779},"z_score_method.ipynb",[5300,8781,8782],{"type":5302},[5304,8783,8785],{"id":8784},"метод-z-score-виявлення-викидів","Метод Z-score: виявлення викидів",[5300,8787,8788,9920],{"execution-count":5310},[5265,8789,8791],{"className":5313,"code":8790,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо нормально розподілені дані з викидами\ndata = np.concatenate([\n    rng.normal(100, 15, 95),  # Основна маса N(100, 15²)\n    np.array([40, 45, 160, 165, 170])  # Викиди\n])\n\n# Обчислюємо Z-оцінки\nmean = data.mean()\nstd = data.std()\nz_scores = (data - mean) \u002F std\n\n# Визначаємо поріг (зазвичай 3)\nthreshold = 3\noutliers_mask = np.abs(z_scores) > threshold\n\noutliers = data[outliers_mask]\ninliers = data[~outliers_mask]\nz_outliers = z_scores[outliers_mask]\nz_inliers = z_scores[~outliers_mask]\n\n# Візуалізація\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\n# Графік 1: Оригінальні дані\nax1.scatter(range(len(inliers)), inliers, c='green', alpha=0.6, s=50, edgecolors='black', linewidths=0.5, label='Нормальні')\nax1.scatter(np.where(outliers_mask)[0], outliers, c='red', s=100, edgecolors='black', linewidths=1, label='Викиди', marker='^')\nax1.axhline(mean, color='blue', linestyle='--', linewidth=2, label=f'μ = {mean:.1f}')\nax1.axhline(mean + 3*std, color='red', linestyle='--', linewidth=1.5, alpha=0.7, label=f'μ+3σ = {mean + 3*std:.1f}')\nax1.axhline(mean - 3*std, color='red', linestyle='--', linewidth=1.5, alpha=0.7, label=f'μ-3σ = {mean - 3*std:.1f}')\nax1.set_xlabel('Індекс', fontsize=12)\nax1.set_ylabel('Значення', fontsize=12)\nax1.set_title('Оригінальні дані з межами ±3σ', fontweight='bold')\nax1.legend()\nax1.grid(alpha=0.3)\n\n# Графік 2: Z-оцінки\nax2.scatter(range(len(z_inliers)), z_inliers, c='green', alpha=0.6, s=50, edgecolors='black', linewidths=0.5, label='Нормальні')\nax2.scatter(np.where(outliers_mask)[0], z_outliers, c='red', s=100, edgecolors='black', linewidths=1, label='Викиди', marker='^')\nax2.axhline(0, color='blue', linestyle='--', linewidth=2, label='z = 0 (середнє)')\nax2.axhline(3, color='red', linestyle='--', linewidth=1.5, alpha=0.7, label='z = +3')\nax2.axhline(-3, color='red', linestyle='--', linewidth=1.5, alpha=0.7, label='z = -3')\nax2.set_xlabel('Індекс', fontsize=12)\nax2.set_ylabel('Z-оцінка', fontsize=12)\nax2.set_title('Z-оцінки (стандартизовані)', fontweight='bold')\nax2.legend()\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Результати методу Z-score:\\n\")\nprint(f\"  Середнє (μ): {mean:.2f}\")\nprint(f\"  Стандартне відхилення (σ): {std:.2f}\")\nprint(f\"  Поріг: |z| > {threshold}\")\nprint(f\"\\n🔍 Виявлено викидів: {outliers_mask.sum()} \u002F {len(data)} ({outliers_mask.sum()\u002Flen(data)*100:.1f}%)\")\nprint(f\"\\n  Викиди (значення → Z-оцінка):\")\nfor val, z in zip(outliers, z_outliers):\n    print(f\"    {val:.1f} → z = {z:+.2f}\")\n",[5272,8792,8793,8803,8813,8817,8829,8833,8838,8842,8861,8891,8895,8899,8904,8909,8914,8919,8923,8928,8936,8941,8945,8950,8955,8960,8965,8969,8973,8997,9001,9006,9067,9125,9175,9242,9307,9323,9339,9356,9360,9372,9376,9381,9442,9500,9542,9591,9641,9657,9674,9691,9695,9707,9711,9715,9719,9723,9738,9759,9781,9803,9853,9870,9885],{"__ignoreMap":5274},[5319,8794,8795,8797,8799,8801],{"class":5321,"line":5322},[5319,8796,5326],{"class":5325},[5319,8798,5330],{"class":5329},[5319,8800,5333],{"class":5325},[5319,8802,5336],{"class":5329},[5319,8804,8805,8807,8809,8811],{"class":5321,"line":5339},[5319,8806,5326],{"class":5325},[5319,8808,5344],{"class":5329},[5319,8810,5333],{"class":5325},[5319,8812,5349],{"class":5329},[5319,8814,8815],{"class":5321,"line":5352},[5319,8816,5356],{"emptyLinePlaceholder":5355},[5319,8818,8819,8821,8823,8825,8827],{"class":5321,"line":5359},[5319,8820,6740],{"class":5329},[5319,8822,6743],{"class":5555},[5319,8824,5593],{"class":5329},[5319,8826,6748],{"class":5365},[5319,8828,5630],{"class":5329},[5319,8830,8831],{"class":5321,"line":5458},[5319,8832,5356],{"emptyLinePlaceholder":5355},[5319,8834,8835],{"class":5321,"line":5463},[5319,8836,8837],{"class":5466},"# Генеруємо нормально розподілені дані з викидами\n",[5319,8839,8840],{"class":5321,"line":5470},[5319,8841,6764],{"class":5329},[5319,8843,8844,8846,8848,8850,8852,8854,8856,8858],{"class":5321,"line":5476},[5319,8845,6769],{"class":5329},[5319,8847,5505],{"class":5365},[5319,8849,5369],{"class":5329},[5319,8851,6798],{"class":5365},[5319,8853,5369],{"class":5329},[5319,8855,6780],{"class":5365},[5319,8857,6783],{"class":5329},[5319,8859,8860],{"class":5466},"# Основна маса N(100, 15²)\n",[5319,8862,8863,8865,8868,8870,8872,8874,8877,8879,8882,8884,8887,8889],{"class":5321,"line":5482},[5319,8864,6791],{"class":5329},[5319,8866,8867],{"class":5365},"40",[5319,8869,5369],{"class":5329},[5319,8871,5366],{"class":5365},[5319,8873,5369],{"class":5329},[5319,8875,8876],{"class":5365},"160",[5319,8878,5369],{"class":5329},[5319,8880,8881],{"class":5365},"165",[5319,8883,5369],{"class":5329},[5319,8885,8886],{"class":5365},"170",[5319,8888,6814],{"class":5329},[5319,8890,6817],{"class":5466},[5319,8892,8893],{"class":5321,"line":5488},[5319,8894,5455],{"class":5329},[5319,8896,8897],{"class":5321,"line":5493},[5319,8898,5356],{"emptyLinePlaceholder":5355},[5319,8900,8901],{"class":5321,"line":5499},[5319,8902,8903],{"class":5466},"# Обчислюємо Z-оцінки\n",[5319,8905,8906],{"class":5321,"line":5511},[5319,8907,8908],{"class":5329},"mean = data.mean()\n",[5319,8910,8911],{"class":5321,"line":5517},[5319,8912,8913],{"class":5329},"std = data.std()\n",[5319,8915,8916],{"class":5321,"line":5523},[5319,8917,8918],{"class":5329},"z_scores = (data - mean) \u002F std\n",[5319,8920,8921],{"class":5321,"line":5529},[5319,8922,5356],{"emptyLinePlaceholder":5355},[5319,8924,8925],{"class":5321,"line":5534},[5319,8926,8927],{"class":5466},"# Визначаємо поріг (зазвичай 3)\n",[5319,8929,8930,8933],{"class":5321,"line":5540},[5319,8931,8932],{"class":5329},"threshold = ",[5319,8934,8935],{"class":5365},"3\n",[5319,8937,8938],{"class":5321,"line":5573},[5319,8939,8940],{"class":5329},"outliers_mask = np.abs(z_scores) > threshold\n",[5319,8942,8943],{"class":5321,"line":5578},[5319,8944,5356],{"emptyLinePlaceholder":5355},[5319,8946,8947],{"class":5321,"line":5584},[5319,8948,8949],{"class":5329},"outliers = data[outliers_mask]\n",[5319,8951,8952],{"class":5321,"line":5633},[5319,8953,8954],{"class":5329},"inliers = data[~outliers_mask]\n",[5319,8956,8957],{"class":5321,"line":5693},[5319,8958,8959],{"class":5329},"z_outliers = z_scores[outliers_mask]\n",[5319,8961,8962],{"class":5321,"line":5744},[5319,8963,8964],{"class":5329},"z_inliers = z_scores[~outliers_mask]\n",[5319,8966,8967],{"class":5321,"line":5765},[5319,8968,5356],{"emptyLinePlaceholder":5355},[5319,8970,8971],{"class":5321,"line":5784},[5319,8972,5537],{"class":5466},[5319,8974,8975,8977,8979,8981,8983,8985,8987,8989,8991,8993,8995],{"class":5321,"line":5805},[5319,8976,5543],{"class":5329},[5319,8978,5310],{"class":5365},[5319,8980,5369],{"class":5329},[5319,8982,5550],{"class":5365},[5319,8984,5369],{"class":5329},[5319,8986,5556],{"class":5555},[5319,8988,5559],{"class":5329},[5319,8990,5562],{"class":5365},[5319,8992,5369],{"class":5329},[5319,8994,5567],{"class":5365},[5319,8996,5570],{"class":5329},[5319,8998,8999],{"class":5321,"line":5811},[5319,9000,5356],{"emptyLinePlaceholder":5355},[5319,9002,9003],{"class":5321,"line":5826},[5319,9004,9005],{"class":5466},"# Графік 1: Оригінальні дані\n",[5319,9007,9008,9011,9013,9015,9017,9019,9021,9023,9025,9027,9029,9031,9033,9035,9037,9039,9041,9043,9045,9047,9049,9051,9053,9055,9057,9059,9061,9063,9065],{"class":5321,"line":5831},[5319,9009,9010],{"class":5329},"ax1.scatter(",[5319,9012,7274],{"class":6075},[5319,9014,6079],{"class":5329},[5319,9016,7279],{"class":6075},[5319,9018,7282],{"class":5329},[5319,9020,7285],{"class":5555},[5319,9022,5593],{"class":5329},[5319,9024,5703],{"class":5606},[5319,9026,5369],{"class":5329},[5319,9028,5612],{"class":5555},[5319,9030,5593],{"class":5329},[5319,9032,7298],{"class":5365},[5319,9034,5369],{"class":5329},[5319,9036,7303],{"class":5555},[5319,9038,5593],{"class":5329},[5319,9040,5377],{"class":5365},[5319,9042,5369],{"class":5329},[5319,9044,7312],{"class":5555},[5319,9046,5593],{"class":5329},[5319,9048,5607],{"class":5606},[5319,9050,5369],{"class":5329},[5319,9052,7321],{"class":5555},[5319,9054,5593],{"class":5329},[5319,9056,7326],{"class":5365},[5319,9058,5369],{"class":5329},[5319,9060,5667],{"class":5555},[5319,9062,5593],{"class":5329},[5319,9064,7335],{"class":5606},[5319,9066,5630],{"class":5329},[5319,9068,9069,9072,9074,9077,9079,9081,9083,9085,9087,9089,9091,9093,9095,9097,9099,9101,9103,9105,9107,9109,9111,9113,9115,9117,9119,9121,9123],{"class":5321,"line":5837},[5319,9070,9071],{"class":5329},"ax1.scatter(np.where(outliers_mask)[",[5319,9073,7964],{"class":5365},[5319,9075,9076],{"class":5329},"], outliers, ",[5319,9078,7285],{"class":5555},[5319,9080,5593],{"class":5329},[5319,9082,5643],{"class":5606},[5319,9084,5369],{"class":5329},[5319,9086,7303],{"class":5555},[5319,9088,5593],{"class":5329},[5319,9090,5505],{"class":5365},[5319,9092,5369],{"class":5329},[5319,9094,7312],{"class":5555},[5319,9096,5593],{"class":5329},[5319,9098,5607],{"class":5606},[5319,9100,5369],{"class":5329},[5319,9102,7321],{"class":5555},[5319,9104,5593],{"class":5329},[5319,9106,5310],{"class":5365},[5319,9108,5369],{"class":5329},[5319,9110,5667],{"class":5555},[5319,9112,5593],{"class":5329},[5319,9114,7394],{"class":5606},[5319,9116,5369],{"class":5329},[5319,9118,7399],{"class":5555},[5319,9120,5593],{"class":5329},[5319,9122,7404],{"class":5606},[5319,9124,5630],{"class":5329},[5319,9126,9127,9130,9132,9134,9137,9139,9141,9143,9145,9147,9149,9151,9153,9155,9157,9159,9161,9164,9166,9169,9171,9173],{"class":5321,"line":5877},[5319,9128,9129],{"class":5329},"ax1.axhline(mean, ",[5319,9131,5622],{"class":5555},[5319,9133,5593],{"class":5329},[5319,9135,9136],{"class":5606},"'blue'",[5319,9138,5369],{"class":5329},[5319,9140,5648],{"class":5555},[5319,9142,5593],{"class":5329},[5319,9144,5653],{"class":5606},[5319,9146,5369],{"class":5329},[5319,9148,5658],{"class":5555},[5319,9150,5593],{"class":5329},[5319,9152,5550],{"class":5365},[5319,9154,5369],{"class":5329},[5319,9156,5667],{"class":5555},[5319,9158,5593],{"class":5329},[5319,9160,5673],{"class":5672},[5319,9162,9163],{"class":5606},"'μ = ",[5319,9165,5679],{"class":5672},[5319,9167,9168],{"class":5329},"mean",[5319,9170,5685],{"class":5672},[5319,9172,7031],{"class":5606},[5319,9174,5630],{"class":5329},[5319,9176,9177,9180,9182,9185,9187,9189,9191,9193,9195,9197,9199,9201,9203,9205,9207,9209,9211,9213,9215,9217,9219,9221,9223,9226,9228,9231,9233,9236,9238,9240],{"class":5321,"line":5926},[5319,9178,9179],{"class":5329},"ax1.axhline(mean + ",[5319,9181,8036],{"class":5365},[5319,9183,9184],{"class":5329},"*std, ",[5319,9186,5622],{"class":5555},[5319,9188,5593],{"class":5329},[5319,9190,5643],{"class":5606},[5319,9192,5369],{"class":5329},[5319,9194,5648],{"class":5555},[5319,9196,5593],{"class":5329},[5319,9198,5653],{"class":5606},[5319,9200,5369],{"class":5329},[5319,9202,5658],{"class":5555},[5319,9204,5593],{"class":5329},[5319,9206,6872],{"class":5365},[5319,9208,5369],{"class":5329},[5319,9210,5612],{"class":5555},[5319,9212,5593],{"class":5329},[5319,9214,5617],{"class":5365},[5319,9216,5369],{"class":5329},[5319,9218,5667],{"class":5555},[5319,9220,5593],{"class":5329},[5319,9222,5673],{"class":5672},[5319,9224,9225],{"class":5606},"'μ+3σ = ",[5319,9227,5679],{"class":5672},[5319,9229,9230],{"class":5329},"mean + ",[5319,9232,8036],{"class":5365},[5319,9234,9235],{"class":5329},"*std",[5319,9237,5685],{"class":5672},[5319,9239,7031],{"class":5606},[5319,9241,5630],{"class":5329},[5319,9243,9244,9247,9249,9251,9253,9255,9257,9259,9261,9263,9265,9267,9269,9271,9273,9275,9277,9279,9281,9283,9285,9287,9289,9292,9294,9297,9299,9301,9303,9305],{"class":5321,"line":5975},[5319,9245,9246],{"class":5329},"ax1.axhline(mean - ",[5319,9248,8036],{"class":5365},[5319,9250,9184],{"class":5329},[5319,9252,5622],{"class":5555},[5319,9254,5593],{"class":5329},[5319,9256,5643],{"class":5606},[5319,9258,5369],{"class":5329},[5319,9260,5648],{"class":5555},[5319,9262,5593],{"class":5329},[5319,9264,5653],{"class":5606},[5319,9266,5369],{"class":5329},[5319,9268,5658],{"class":5555},[5319,9270,5593],{"class":5329},[5319,9272,6872],{"class":5365},[5319,9274,5369],{"class":5329},[5319,9276,5612],{"class":5555},[5319,9278,5593],{"class":5329},[5319,9280,5617],{"class":5365},[5319,9282,5369],{"class":5329},[5319,9284,5667],{"class":5555},[5319,9286,5593],{"class":5329},[5319,9288,5673],{"class":5672},[5319,9290,9291],{"class":5606},"'μ-3σ = ",[5319,9293,5679],{"class":5672},[5319,9295,9296],{"class":5329},"mean - ",[5319,9298,8036],{"class":5365},[5319,9300,9235],{"class":5329},[5319,9302,5685],{"class":5672},[5319,9304,7031],{"class":5606},[5319,9306,5630],{"class":5329},[5319,9308,9309,9311,9313,9315,9317,9319,9321],{"class":5321,"line":5993},[5319,9310,5747],{"class":5329},[5319,9312,7487],{"class":5606},[5319,9314,5369],{"class":5329},[5319,9316,5755],{"class":5555},[5319,9318,5593],{"class":5329},[5319,9320,5760],{"class":5365},[5319,9322,5630],{"class":5329},[5319,9324,9325,9327,9329,9331,9333,9335,9337],{"class":5321,"line":6011},[5319,9326,5768],{"class":5329},[5319,9328,7187],{"class":5606},[5319,9330,5369],{"class":5329},[5319,9332,5755],{"class":5555},[5319,9334,5593],{"class":5329},[5319,9336,5760],{"class":5365},[5319,9338,5630],{"class":5329},[5319,9340,9341,9343,9346,9348,9350,9352,9354],{"class":5321,"line":6030},[5319,9342,5787],{"class":5329},[5319,9344,9345],{"class":5606},"'Оригінальні дані з межами ±3σ'",[5319,9347,5369],{"class":5329},[5319,9349,5795],{"class":5555},[5319,9351,5593],{"class":5329},[5319,9353,5800],{"class":5606},[5319,9355,5630],{"class":5329},[5319,9357,9358],{"class":5321,"line":6036},[5319,9359,5808],{"class":5329},[5319,9361,9362,9364,9366,9368,9370],{"class":5321,"line":6050},[5319,9363,5814],{"class":5329},[5319,9365,5612],{"class":5555},[5319,9367,5593],{"class":5329},[5319,9369,5821],{"class":5365},[5319,9371,5630],{"class":5329},[5319,9373,9374],{"class":5321,"line":6055},[5319,9375,5356],{"emptyLinePlaceholder":5355},[5319,9377,9378],{"class":5321,"line":6061},[5319,9379,9380],{"class":5466},"# Графік 2: Z-оцінки\n",[5319,9382,9383,9385,9387,9389,9391,9394,9396,9398,9400,9402,9404,9406,9408,9410,9412,9414,9416,9418,9420,9422,9424,9426,9428,9430,9432,9434,9436,9438,9440],{"class":5321,"line":6067},[5319,9384,7271],{"class":5329},[5319,9386,7274],{"class":6075},[5319,9388,6079],{"class":5329},[5319,9390,7279],{"class":6075},[5319,9392,9393],{"class":5329},"(z_inliers)), z_inliers, ",[5319,9395,7285],{"class":5555},[5319,9397,5593],{"class":5329},[5319,9399,5703],{"class":5606},[5319,9401,5369],{"class":5329},[5319,9403,5612],{"class":5555},[5319,9405,5593],{"class":5329},[5319,9407,7298],{"class":5365},[5319,9409,5369],{"class":5329},[5319,9411,7303],{"class":5555},[5319,9413,5593],{"class":5329},[5319,9415,5377],{"class":5365},[5319,9417,5369],{"class":5329},[5319,9419,7312],{"class":5555},[5319,9421,5593],{"class":5329},[5319,9423,5607],{"class":5606},[5319,9425,5369],{"class":5329},[5319,9427,7321],{"class":5555},[5319,9429,5593],{"class":5329},[5319,9431,7326],{"class":5365},[5319,9433,5369],{"class":5329},[5319,9435,5667],{"class":5555},[5319,9437,5593],{"class":5329},[5319,9439,7335],{"class":5606},[5319,9441,5630],{"class":5329},[5319,9443,9444,9447,9449,9452,9454,9456,9458,9460,9462,9464,9466,9468,9470,9472,9474,9476,9478,9480,9482,9484,9486,9488,9490,9492,9494,9496,9498],{"class":5321,"line":6072},[5319,9445,9446],{"class":5329},"ax2.scatter(np.where(outliers_mask)[",[5319,9448,7964],{"class":5365},[5319,9450,9451],{"class":5329},"], z_outliers, ",[5319,9453,7285],{"class":5555},[5319,9455,5593],{"class":5329},[5319,9457,5643],{"class":5606},[5319,9459,5369],{"class":5329},[5319,9461,7303],{"class":5555},[5319,9463,5593],{"class":5329},[5319,9465,5505],{"class":5365},[5319,9467,5369],{"class":5329},[5319,9469,7312],{"class":5555},[5319,9471,5593],{"class":5329},[5319,9473,5607],{"class":5606},[5319,9475,5369],{"class":5329},[5319,9477,7321],{"class":5555},[5319,9479,5593],{"class":5329},[5319,9481,5310],{"class":5365},[5319,9483,5369],{"class":5329},[5319,9485,5667],{"class":5555},[5319,9487,5593],{"class":5329},[5319,9489,7394],{"class":5606},[5319,9491,5369],{"class":5329},[5319,9493,7399],{"class":5555},[5319,9495,5593],{"class":5329},[5319,9497,7404],{"class":5606},[5319,9499,5630],{"class":5329},[5319,9501,9502,9505,9507,9509,9511,9513,9515,9517,9519,9521,9523,9525,9527,9529,9531,9533,9535,9537,9540],{"class":5321,"line":6094},[5319,9503,9504],{"class":5329},"ax2.axhline(",[5319,9506,7964],{"class":5365},[5319,9508,5369],{"class":5329},[5319,9510,5622],{"class":5555},[5319,9512,5593],{"class":5329},[5319,9514,9136],{"class":5606},[5319,9516,5369],{"class":5329},[5319,9518,5648],{"class":5555},[5319,9520,5593],{"class":5329},[5319,9522,5653],{"class":5606},[5319,9524,5369],{"class":5329},[5319,9526,5658],{"class":5555},[5319,9528,5593],{"class":5329},[5319,9530,5550],{"class":5365},[5319,9532,5369],{"class":5329},[5319,9534,5667],{"class":5555},[5319,9536,5593],{"class":5329},[5319,9538,9539],{"class":5606},"'z = 0 (середнє)'",[5319,9541,5630],{"class":5329},[5319,9543,9544,9546,9548,9550,9552,9554,9556,9558,9560,9562,9564,9566,9568,9570,9572,9574,9576,9578,9580,9582,9584,9586,9589],{"class":5321,"line":6139},[5319,9545,9504],{"class":5329},[5319,9547,8036],{"class":5365},[5319,9549,5369],{"class":5329},[5319,9551,5622],{"class":5555},[5319,9553,5593],{"class":5329},[5319,9555,5643],{"class":5606},[5319,9557,5369],{"class":5329},[5319,9559,5648],{"class":5555},[5319,9561,5593],{"class":5329},[5319,9563,5653],{"class":5606},[5319,9565,5369],{"class":5329},[5319,9567,5658],{"class":5555},[5319,9569,5593],{"class":5329},[5319,9571,6872],{"class":5365},[5319,9573,5369],{"class":5329},[5319,9575,5612],{"class":5555},[5319,9577,5593],{"class":5329},[5319,9579,5617],{"class":5365},[5319,9581,5369],{"class":5329},[5319,9583,5667],{"class":5555},[5319,9585,5593],{"class":5329},[5319,9587,9588],{"class":5606},"'z = +3'",[5319,9590,5630],{"class":5329},[5319,9592,9593,9596,9598,9600,9602,9604,9606,9608,9610,9612,9614,9616,9618,9620,9622,9624,9626,9628,9630,9632,9634,9636,9639],{"class":5321,"line":6157},[5319,9594,9595],{"class":5329},"ax2.axhline(-",[5319,9597,8036],{"class":5365},[5319,9599,5369],{"class":5329},[5319,9601,5622],{"class":5555},[5319,9603,5593],{"class":5329},[5319,9605,5643],{"class":5606},[5319,9607,5369],{"class":5329},[5319,9609,5648],{"class":5555},[5319,9611,5593],{"class":5329},[5319,9613,5653],{"class":5606},[5319,9615,5369],{"class":5329},[5319,9617,5658],{"class":5555},[5319,9619,5593],{"class":5329},[5319,9621,6872],{"class":5365},[5319,9623,5369],{"class":5329},[5319,9625,5612],{"class":5555},[5319,9627,5593],{"class":5329},[5319,9629,5617],{"class":5365},[5319,9631,5369],{"class":5329},[5319,9633,5667],{"class":5555},[5319,9635,5593],{"class":5329},[5319,9637,9638],{"class":5606},"'z = -3'",[5319,9640,5630],{"class":5329},[5319,9642,9643,9645,9647,9649,9651,9653,9655],{"class":5321,"line":6211},[5319,9644,5978],{"class":5329},[5319,9646,7487],{"class":5606},[5319,9648,5369],{"class":5329},[5319,9650,5755],{"class":5555},[5319,9652,5593],{"class":5329},[5319,9654,5760],{"class":5365},[5319,9656,5630],{"class":5329},[5319,9658,9659,9661,9664,9666,9668,9670,9672],{"class":5321,"line":6258},[5319,9660,5996],{"class":5329},[5319,9662,9663],{"class":5606},"'Z-оцінка'",[5319,9665,5369],{"class":5329},[5319,9667,5755],{"class":5555},[5319,9669,5593],{"class":5329},[5319,9671,5760],{"class":5365},[5319,9673,5630],{"class":5329},[5319,9675,9676,9678,9681,9683,9685,9687,9689],{"class":5321,"line":6307},[5319,9677,6014],{"class":5329},[5319,9679,9680],{"class":5606},"'Z-оцінки (стандартизовані)'",[5319,9682,5369],{"class":5329},[5319,9684,5795],{"class":5555},[5319,9686,5593],{"class":5329},[5319,9688,5800],{"class":5606},[5319,9690,5630],{"class":5329},[5319,9692,9693],{"class":5321,"line":6312},[5319,9694,6033],{"class":5329},[5319,9696,9697,9699,9701,9703,9705],{"class":5321,"line":6328},[5319,9698,6039],{"class":5329},[5319,9700,5612],{"class":5555},[5319,9702,5593],{"class":5329},[5319,9704,5821],{"class":5365},[5319,9706,5630],{"class":5329},[5319,9708,9709],{"class":5321,"line":6340},[5319,9710,5356],{"emptyLinePlaceholder":5355},[5319,9712,9713],{"class":5321,"line":6352},[5319,9714,6058],{"class":5329},[5319,9716,9717],{"class":5321,"line":7565},[5319,9718,6064],{"class":5329},[5319,9720,9721],{"class":5321,"line":7581},[5319,9722,5356],{"emptyLinePlaceholder":5355},[5319,9724,9725,9727,9729,9732,9734,9736],{"class":5321,"line":7604},[5319,9726,6076],{"class":6075},[5319,9728,6079],{"class":5329},[5319,9730,9731],{"class":5606},"\"📊 Результати методу Z-score:",[5319,9733,6086],{"class":6085},[5319,9735,6089],{"class":5606},[5319,9737,5630],{"class":5329},[5319,9739,9740,9742,9744,9746,9749,9751,9753,9755,9757],{"class":5321,"line":7626},[5319,9741,6076],{"class":6075},[5319,9743,6079],{"class":5329},[5319,9745,5673],{"class":5672},[5319,9747,9748],{"class":5606},"\"  Середнє (μ): ",[5319,9750,5679],{"class":5672},[5319,9752,9168],{"class":5329},[5319,9754,7597],{"class":5672},[5319,9756,6089],{"class":5606},[5319,9758,5630],{"class":5329},[5319,9760,9761,9763,9765,9767,9770,9772,9775,9777,9779],{"class":5321,"line":7648},[5319,9762,6076],{"class":6075},[5319,9764,6079],{"class":5329},[5319,9766,5673],{"class":5672},[5319,9768,9769],{"class":5606},"\"  Стандартне відхилення (σ): ",[5319,9771,5679],{"class":5672},[5319,9773,9774],{"class":5329},"std",[5319,9776,7597],{"class":5672},[5319,9778,6089],{"class":5606},[5319,9780,5630],{"class":5329},[5319,9782,9783,9785,9787,9789,9792,9794,9797,9799,9801],{"class":5321,"line":7670},[5319,9784,6076],{"class":6075},[5319,9786,6079],{"class":5329},[5319,9788,5673],{"class":5672},[5319,9790,9791],{"class":5606},"\"  Поріг: |z| > ",[5319,9793,5679],{"class":5672},[5319,9795,9796],{"class":5329},"threshold",[5319,9798,7715],{"class":5672},[5319,9800,6089],{"class":5606},[5319,9802,5630],{"class":5329},[5319,9804,9805,9807,9809,9811,9813,9815,9817,9819,9822,9824,9826,9828,9830,9832,9834,9836,9838,9841,9843,9845,9847,9849,9851],{"class":5321,"line":7692},[5319,9806,6076],{"class":6075},[5319,9808,6079],{"class":5329},[5319,9810,5673],{"class":5672},[5319,9812,6089],{"class":5606},[5319,9814,6086],{"class":6085},[5319,9816,7705],{"class":5606},[5319,9818,5679],{"class":5672},[5319,9820,9821],{"class":5329},"outliers_mask.sum()",[5319,9823,7715],{"class":5672},[5319,9825,7718],{"class":5606},[5319,9827,5679],{"class":5672},[5319,9829,7279],{"class":6075},[5319,9831,7725],{"class":5329},[5319,9833,7715],{"class":5672},[5319,9835,6397],{"class":5606},[5319,9837,5679],{"class":5672},[5319,9839,9840],{"class":5329},"outliers_mask.sum()\u002F",[5319,9842,7279],{"class":6075},[5319,9844,7741],{"class":5329},[5319,9846,5505],{"class":5365},[5319,9848,5685],{"class":5672},[5319,9850,7748],{"class":5606},[5319,9852,5630],{"class":5329},[5319,9854,9855,9857,9859,9861,9863,9865,9868],{"class":5321,"line":7753},[5319,9856,6076],{"class":6075},[5319,9858,6079],{"class":5329},[5319,9860,5673],{"class":5672},[5319,9862,6089],{"class":5606},[5319,9864,6086],{"class":6085},[5319,9866,9867],{"class":5606},"  Викиди (значення → Z-оцінка):\"",[5319,9869,5630],{"class":5329},[5319,9871,9873,9875,9878,9880,9882],{"class":5321,"line":9872},62,[5319,9874,8059],{"class":5325},[5319,9876,9877],{"class":5329}," val, z ",[5319,9879,8065],{"class":5325},[5319,9881,8068],{"class":6075},[5319,9883,9884],{"class":5329},"(outliers, z_outliers):\n",[5319,9886,9888,9891,9893,9895,9898,9900,9903,9905,9908,9910,9913,9916,9918],{"class":5321,"line":9887},63,[5319,9889,9890],{"class":6075},"    print",[5319,9892,6079],{"class":5329},[5319,9894,5673],{"class":5672},[5319,9896,9897],{"class":5606},"\"    ",[5319,9899,5679],{"class":5672},[5319,9901,9902],{"class":5329},"val",[5319,9904,5685],{"class":5672},[5319,9906,9907],{"class":5606}," → z = ",[5319,9909,5679],{"class":5672},[5319,9911,9912],{"class":5329},"z",[5319,9914,9915],{"class":5672},":+.2f}",[5319,9917,6089],{"class":5606},[5319,9919,5630],{"class":5329},[6363,9921,9922,9929],{"v-slot:output":5274},[5261,9923,9924],{},[6368,9925],{"alt":9926,"className":9927,"src":9928},"Виявлення викидів за допомогою Z-оцінки (|Z| > 3)",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F04.png",[5265,9930,9933],{"className":9931,"code":9932,"language":5270},[5268],"📊 Результати методу Z-score:\n\n  Середнє (μ): 101.25\n  Стандартне відхилення (σ): 17.82\n  Поріг: |z| > 3\n\n🔍 Виявлено викидів: 5 \u002F 100 (5.0%)\n\n  Викиди (значення → Z-оцінка):\n    40.0 → z = -3.44\n    45.0 → z = -3.16\n    160.0 → z = +3.30\n    165.0 → z = +3.58\n    170.0 → z = +3.86\n",[5272,9934,9932],{"__ignoreMap":5274},[6532,9936,9937,9942,9953,9963,9968],{},[5261,9938,9939],{},[5224,9940,9941],{},"Важлива пастка методу Z-score:",[5261,9943,9944,9945,9948,9949,9952],{},"Метод Z-score ",[5224,9946,9947],{},"сам залежить від викидів","! Викиди впливають на середнє та стандартне відхилення, що може ",[5224,9950,9951],{},"приховати"," екстремальні значення.",[5261,9954,9955,9958,9959,9962],{},[5224,9956,9957],{},"Приклад:"," Якщо є один дуже великий викид, він збільшує μ та σ. Тоді його власна Z-оцінка може виявитися \u003C 3, і він ",[5224,9960,9961],{},"не буде виявлений","!",[5261,9964,9965],{},[5224,9966,9967],{},"Рішення:",[5198,9969,9970,9977],{},[5201,9971,9972,9973,9976],{},"Використовуйте ",[5224,9974,9975],{},"робастні оцінки"," (медіану замість середнього, MAD замість σ)",[5201,9978,9979],{},"Або спочатку застосуйте метод IQR, потім Z-score на очищених даних",[5304,9981,9983],{"id":9982},"порівняння-порогів-z-score","Порівняння порогів Z-score",[5295,9985,9987],{"kernel":5297,"title":9986},"z_score_thresholds.ipynb",[5300,9988,9989,10317],{"execution-count":5310},[5265,9990,9992],{"className":5313,"code":9991,"language":5315,"meta":5274,"style":5274},"import numpy as np\nfrom scipy import stats\n\nrng = np.random.default_rng(seed=42)\ndata = rng.normal(100, 15, 1000)\n\nthresholds = [2, 2.5, 3, 3.5]\n\nprint(\"📊 Вплив порогу Z-score на виявлення викидів:\\n\")\nprint(f\"{'Поріг |z|':\u003C12} {'Викидів':\u003C10} {'%':\u003C8} Теоретично (для N(0,1))\")\nprint(\"-\" * 60)\n\nfor thresh in thresholds:\n    z_scores = np.abs((data - data.mean()) \u002F data.std())\n    outliers_count = (z_scores > thresh).sum()\n    outliers_pct = outliers_count \u002F len(data) * 100\n    \n    # Теоретична ймовірність для нормального розподілу\n    theoretical_pct = (1 - stats.norm.cdf(thresh)) * 2 * 100\n    \n    print(f\"  >{thresh:\u003C10} {outliers_count:\u003C10} {outliers_pct:>5.1f}%   ~{theoretical_pct:.2f}%\")\n\nprint(\"\\n💡 Висновок:\")\nprint(\"  Більший поріг → менше викидів (консервативний підхід)\")\nprint(\"  Менший поріг → більше викидів (агресивний підхід)\")\nprint(\"  Стандарт: |z| > 3 (виявляє ~0.3% найекстремальніших значень)\")\n",[5272,9993,9994,10004,10017,10021,10033,10051,10055,10078,10082,10097,10136,10150,10154,10166,10171,10176,10189,10193,10198,10214,10218,10266,10270,10284,10295,10306],{"__ignoreMap":5274},[5319,9995,9996,9998,10000,10002],{"class":5321,"line":5322},[5319,9997,5326],{"class":5325},[5319,9999,5330],{"class":5329},[5319,10001,5333],{"class":5325},[5319,10003,5336],{"class":5329},[5319,10005,10006,10009,10012,10014],{"class":5321,"line":5339},[5319,10007,10008],{"class":5325},"from",[5319,10010,10011],{"class":5329}," scipy ",[5319,10013,5326],{"class":5325},[5319,10015,10016],{"class":5329}," stats\n",[5319,10018,10019],{"class":5321,"line":5352},[5319,10020,5356],{"emptyLinePlaceholder":5355},[5319,10022,10023,10025,10027,10029,10031],{"class":5321,"line":5359},[5319,10024,6740],{"class":5329},[5319,10026,6743],{"class":5555},[5319,10028,5593],{"class":5329},[5319,10030,6748],{"class":5365},[5319,10032,5630],{"class":5329},[5319,10034,10035,10038,10040,10042,10044,10046,10049],{"class":5321,"line":5458},[5319,10036,10037],{"class":5329},"data = rng.normal(",[5319,10039,5505],{"class":5365},[5319,10041,5369],{"class":5329},[5319,10043,6798],{"class":5365},[5319,10045,5369],{"class":5329},[5319,10047,10048],{"class":5365},"1000",[5319,10050,5630],{"class":5329},[5319,10052,10053],{"class":5321,"line":5463},[5319,10054,5356],{"emptyLinePlaceholder":5355},[5319,10056,10057,10060,10062,10064,10067,10069,10071,10073,10076],{"class":5321,"line":5470},[5319,10058,10059],{"class":5329},"thresholds = [",[5319,10061,5550],{"class":5365},[5319,10063,5369],{"class":5329},[5319,10065,10066],{"class":5365},"2.5",[5319,10068,5369],{"class":5329},[5319,10070,8036],{"class":5365},[5319,10072,5369],{"class":5329},[5319,10074,10075],{"class":5365},"3.5",[5319,10077,5508],{"class":5329},[5319,10079,10080],{"class":5321,"line":5476},[5319,10081,5356],{"emptyLinePlaceholder":5355},[5319,10083,10084,10086,10088,10091,10093,10095],{"class":5321,"line":5482},[5319,10085,6076],{"class":6075},[5319,10087,6079],{"class":5329},[5319,10089,10090],{"class":5606},"\"📊 Вплив порогу Z-score на виявлення викидів:",[5319,10092,6086],{"class":6085},[5319,10094,6089],{"class":5606},[5319,10096,5630],{"class":5329},[5319,10098,10099,10101,10103,10105,10107,10109,10112,10115,10117,10120,10123,10125,10128,10131,10134],{"class":5321,"line":5488},[5319,10100,6076],{"class":6075},[5319,10102,6079],{"class":5329},[5319,10104,5673],{"class":5672},[5319,10106,6089],{"class":5606},[5319,10108,5679],{"class":5672},[5319,10110,10111],{"class":5606},"'Поріг |z|'",[5319,10113,10114],{"class":5672},":\u003C12}",[5319,10116,6113],{"class":5672},[5319,10118,10119],{"class":5606},"'Викидів'",[5319,10121,10122],{"class":5672},":\u003C10}",[5319,10124,6113],{"class":5672},[5319,10126,10127],{"class":5606},"'%'",[5319,10129,10130],{"class":5672},":\u003C8}",[5319,10132,10133],{"class":5606}," Теоретично (для N(0,1))\"",[5319,10135,5630],{"class":5329},[5319,10137,10138,10140,10142,10144,10146,10148],{"class":5321,"line":5493},[5319,10139,6076],{"class":6075},[5319,10141,6079],{"class":5329},[5319,10143,6146],{"class":5606},[5319,10145,6149],{"class":5329},[5319,10147,6152],{"class":5365},[5319,10149,5630],{"class":5329},[5319,10151,10152],{"class":5321,"line":5499},[5319,10153,5356],{"emptyLinePlaceholder":5355},[5319,10155,10156,10158,10161,10163],{"class":5321,"line":5511},[5319,10157,8059],{"class":5325},[5319,10159,10160],{"class":5329}," thresh ",[5319,10162,8065],{"class":5325},[5319,10164,10165],{"class":5329}," thresholds:\n",[5319,10167,10168],{"class":5321,"line":5517},[5319,10169,10170],{"class":5329},"    z_scores = np.abs((data - data.mean()) \u002F data.std())\n",[5319,10172,10173],{"class":5321,"line":5523},[5319,10174,10175],{"class":5329},"    outliers_count = (z_scores > thresh).sum()\n",[5319,10177,10178,10181,10183,10186],{"class":5321,"line":5529},[5319,10179,10180],{"class":5329},"    outliers_pct = outliers_count \u002F ",[5319,10182,7279],{"class":6075},[5319,10184,10185],{"class":5329},"(data) * ",[5319,10187,10188],{"class":5365},"100\n",[5319,10190,10191],{"class":5321,"line":5534},[5319,10192,8270],{"class":5329},[5319,10194,10195],{"class":5321,"line":5540},[5319,10196,10197],{"class":5466},"    # Теоретична ймовірність для нормального розподілу\n",[5319,10199,10200,10203,10205,10208,10210,10212],{"class":5321,"line":5573},[5319,10201,10202],{"class":5329},"    theoretical_pct = (",[5319,10204,5310],{"class":5365},[5319,10206,10207],{"class":5329}," - stats.norm.cdf(thresh)) * ",[5319,10209,5550],{"class":5365},[5319,10211,6149],{"class":5329},[5319,10213,10188],{"class":5365},[5319,10215,10216],{"class":5321,"line":5578},[5319,10217,8270],{"class":5329},[5319,10219,10220,10222,10224,10226,10229,10231,10234,10236,10238,10241,10243,10245,10248,10251,10254,10256,10259,10261,10264],{"class":5321,"line":5584},[5319,10221,9890],{"class":6075},[5319,10223,6079],{"class":5329},[5319,10225,5673],{"class":5672},[5319,10227,10228],{"class":5606},"\"  >",[5319,10230,5679],{"class":5672},[5319,10232,10233],{"class":5329},"thresh",[5319,10235,10122],{"class":5672},[5319,10237,6113],{"class":5672},[5319,10239,10240],{"class":5329},"outliers_count",[5319,10242,10122],{"class":5672},[5319,10244,6113],{"class":5672},[5319,10246,10247],{"class":5329},"outliers_pct",[5319,10249,10250],{"class":5672},":>5.1f}",[5319,10252,10253],{"class":5606},"%   ~",[5319,10255,5679],{"class":5672},[5319,10257,10258],{"class":5329},"theoretical_pct",[5319,10260,7597],{"class":5672},[5319,10262,10263],{"class":5606},"%\"",[5319,10265,5630],{"class":5329},[5319,10267,10268],{"class":5321,"line":5633},[5319,10269,5356],{"emptyLinePlaceholder":5355},[5319,10271,10272,10274,10276,10278,10280,10282],{"class":5321,"line":5693},[5319,10273,6076],{"class":6075},[5319,10275,6079],{"class":5329},[5319,10277,6089],{"class":5606},[5319,10279,6086],{"class":6085},[5319,10281,6323],{"class":5606},[5319,10283,5630],{"class":5329},[5319,10285,10286,10288,10290,10293],{"class":5321,"line":5744},[5319,10287,6076],{"class":6075},[5319,10289,6079],{"class":5329},[5319,10291,10292],{"class":5606},"\"  Більший поріг → менше викидів (консервативний підхід)\"",[5319,10294,5630],{"class":5329},[5319,10296,10297,10299,10301,10304],{"class":5321,"line":5765},[5319,10298,6076],{"class":6075},[5319,10300,6079],{"class":5329},[5319,10302,10303],{"class":5606},"\"  Менший поріг → більше викидів (агресивний підхід)\"",[5319,10305,5630],{"class":5329},[5319,10307,10308,10310,10312,10315],{"class":5321,"line":5784},[5319,10309,6076],{"class":6075},[5319,10311,6079],{"class":5329},[5319,10313,10314],{"class":5606},"\"  Стандарт: |z| > 3 (виявляє ~0.3% найекстремальніших значень)\"",[5319,10316,5630],{"class":5329},[6363,10318,10319],{"v-slot:output":5274},[5265,10320,10323],{"className":10321,"code":10322,"language":5270},[5268],"📊 Вплив порогу Z-score на виявлення викидів:\n\nПоріг |z|    Викидів    %       Теоретично (для N(0,1))\n------------------------------------------------------------\n  >2           46          4.6%   ~4.55%\n  >2.5         13          1.3%   ~1.24%\n  >3            3          0.3%   ~0.27%\n  >3.5          0          0.0%   ~0.05%\n\n💡 Висновок:\n  Більший поріг → менше викидів (консервативний підхід)\n  Менший поріг → більше викидів (агресивний підхід)\n  Стандарт: |z| > 3 (виявляє ~0.3% найекстремальніших значень)\n",[5272,10324,10322],{"__ignoreMap":5274},[8627,10326,10327,10332,10350,10354],{},[5261,10328,10329],{},[5224,10330,10331],{},"Коли використовувати метод Z-score:",[5198,10333,10334,10340,10347],{},[5201,10335,10336,10337],{},"✅ Дані ",[5224,10338,10339],{},"приблизно нормально розподілені",[5201,10341,10342,10343,10346],{},"✅ Потрібна ",[5224,10344,10345],{},"числова міра"," відхилення (скільки σ)",[5201,10348,10349],{},"✅ Швидке обчислення для великих датасетів",[5261,10351,10352],{},[5224,10353,8652],{},[5198,10355,10356,10363,10369],{},[5201,10357,10358,10359,10362],{},"❌ ",[5224,10360,10361],{},"Не робастний"," — сам залежить від викидів",[5201,10364,10365,10366],{},"❌ Не підходить для ",[5224,10367,10368],{},"скошених розподілів",[5201,10370,10371],{},"❌ Припускає симетричний розподіл",[5253,10373],{},[5256,10375,10377],{"id":10376},"стратегії-обробки-викидів","Стратегії обробки викидів",[5261,10379,10380,10381,10384],{},"Після виявлення викидів постає питання: ",[5224,10382,10383],{},"що з ними робити?"," Універсального рішення немає — залежить від контексту, типу даних та цілей аналізу.",[5304,10386,10388],{"id":10387},"_1-видалення-removal","1. Видалення (Removal)",[5261,10390,10391,10394],{},[5224,10392,10393],{},"Ідея:"," Просто видалити рядки з викидами з датасету.",[5261,10396,10397],{},[5224,10398,10399],{},"Коли використовувати:",[5198,10401,10402,10409,10416],{},[5201,10403,10404,10405,10408],{},"✅ Викид — ",[5224,10406,10407],{},"явна помилка"," (сенсор показав −999°C, вік = 200 років)",[5201,10410,10411,10412,10415],{},"✅ Викидів ",[5224,10413,10414],{},"мало"," (\u003C 5% даних)",[5201,10417,10418],{},"✅ Видалення не зменшує датасет критично",[5261,10420,10421],{},[5224,10422,10423],{},"Обережно:",[5198,10425,10426,10429,10432],{},[5201,10427,10428],{},"❌ Втрата інформації",[5201,10430,10431],{},"❌ Може спотворити розподіл (якщо викидів багато)",[5201,10433,10434,10435,10437],{},"❌ Не підходить, якщо викид — ",[5224,10436,6561],{}," (шахрайство, несправність)",[5295,10439,10441],{"kernel":5297,"title":10440},"outlier_removal.ipynb",[5300,10442,10443,10780],{"execution-count":5310},[5265,10444,10446],{"className":5313,"code":10445,"language":5315,"meta":5274,"style":5274},"import numpy as np\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо дані\ndata = np.concatenate([\n    rng.normal(50, 10, 95),\n    np.array([10, 15, 90, 95, 100])  # 5 викидів\n])\n\n# Видалення через IQR\nQ1 = np.percentile(data, 25)\nQ3 = np.percentile(data, 75)\nIQR = Q3 - Q1\nlower_bound = Q1 - 1.5 * IQR\nupper_bound = Q3 + 1.5 * IQR\n\ndata_clean = data[(data >= lower_bound) & (data \u003C= upper_bound)]\n\nprint(\"📊 Результати видалення викидів:\\n\")\nprint(f\"  Розмір до:  {len(data)} зразків\")\nprint(f\"  Розмір після: {len(data_clean)} зразків\")\nprint(f\"  Видалено: {len(data) - len(data_clean)} зразків ({(len(data) - len(data_clean))\u002Flen(data)*100:.1f}%)\")\nprint(f\"\\n  Середнє до:  {data.mean():.2f}\")\nprint(f\"  Середнє після: {data_clean.mean():.2f}\")\nprint(f\"  Різниця: {abs(data.mean() - data_clean.mean()):.2f}\")\n",[5272,10447,10448,10458,10462,10474,10478,10483,10487,10503,10530,10534,10538,10543,10551,10559,10563,10571,10579,10583,10588,10592,10607,10631,10655,10707,10733,10755],{"__ignoreMap":5274},[5319,10449,10450,10452,10454,10456],{"class":5321,"line":5322},[5319,10451,5326],{"class":5325},[5319,10453,5330],{"class":5329},[5319,10455,5333],{"class":5325},[5319,10457,5336],{"class":5329},[5319,10459,10460],{"class":5321,"line":5339},[5319,10461,5356],{"emptyLinePlaceholder":5355},[5319,10463,10464,10466,10468,10470,10472],{"class":5321,"line":5352},[5319,10465,6740],{"class":5329},[5319,10467,6743],{"class":5555},[5319,10469,5593],{"class":5329},[5319,10471,6748],{"class":5365},[5319,10473,5630],{"class":5329},[5319,10475,10476],{"class":5321,"line":5359},[5319,10477,5356],{"emptyLinePlaceholder":5355},[5319,10479,10480],{"class":5321,"line":5458},[5319,10481,10482],{"class":5466},"# Генеруємо дані\n",[5319,10484,10485],{"class":5321,"line":5463},[5319,10486,6764],{"class":5329},[5319,10488,10489,10491,10493,10495,10497,10499,10501],{"class":5321,"line":5470},[5319,10490,6769],{"class":5329},[5319,10492,5377],{"class":5365},[5319,10494,5369],{"class":5329},[5319,10496,5847],{"class":5365},[5319,10498,5369],{"class":5329},[5319,10500,6780],{"class":5365},[5319,10502,8127],{"class":5329},[5319,10504,10505,10507,10509,10511,10513,10515,10517,10519,10521,10523,10525,10527],{"class":5321,"line":5476},[5319,10506,6791],{"class":5329},[5319,10508,5847],{"class":5365},[5319,10510,5369],{"class":5329},[5319,10512,6798],{"class":5365},[5319,10514,5369],{"class":5329},[5319,10516,6803],{"class":5365},[5319,10518,5369],{"class":5329},[5319,10520,6780],{"class":5365},[5319,10522,5369],{"class":5329},[5319,10524,5505],{"class":5365},[5319,10526,6814],{"class":5329},[5319,10528,10529],{"class":5466},"# 5 викидів\n",[5319,10531,10532],{"class":5321,"line":5482},[5319,10533,5455],{"class":5329},[5319,10535,10536],{"class":5321,"line":5488},[5319,10537,5356],{"emptyLinePlaceholder":5355},[5319,10539,10540],{"class":5321,"line":5493},[5319,10541,10542],{"class":5466},"# Видалення через IQR\n",[5319,10544,10545,10547,10549],{"class":5321,"line":5499},[5319,10546,6835],{"class":5329},[5319,10548,6838],{"class":5365},[5319,10550,5630],{"class":5329},[5319,10552,10553,10555,10557],{"class":5321,"line":5511},[5319,10554,6845],{"class":5329},[5319,10556,6848],{"class":5365},[5319,10558,5630],{"class":5329},[5319,10560,10561],{"class":5321,"line":5517},[5319,10562,6855],{"class":5329},[5319,10564,10565,10567,10569],{"class":5321,"line":5523},[5319,10566,6869],{"class":5329},[5319,10568,6872],{"class":5365},[5319,10570,6875],{"class":5329},[5319,10572,10573,10575,10577],{"class":5321,"line":5529},[5319,10574,6880],{"class":5329},[5319,10576,6872],{"class":5365},[5319,10578,6875],{"class":5329},[5319,10580,10581],{"class":5321,"line":5534},[5319,10582,5356],{"emptyLinePlaceholder":5355},[5319,10584,10585],{"class":5321,"line":5540},[5319,10586,10587],{"class":5329},"data_clean = data[(data >= lower_bound) & (data \u003C= upper_bound)]\n",[5319,10589,10590],{"class":5321,"line":5573},[5319,10591,5356],{"emptyLinePlaceholder":5355},[5319,10593,10594,10596,10598,10601,10603,10605],{"class":5321,"line":5578},[5319,10595,6076],{"class":6075},[5319,10597,6079],{"class":5329},[5319,10599,10600],{"class":5606},"\"📊 Результати видалення викидів:",[5319,10602,6086],{"class":6085},[5319,10604,6089],{"class":5606},[5319,10606,5630],{"class":5329},[5319,10608,10609,10611,10613,10615,10618,10620,10622,10624,10626,10629],{"class":5321,"line":5584},[5319,10610,6076],{"class":6075},[5319,10612,6079],{"class":5329},[5319,10614,5673],{"class":5672},[5319,10616,10617],{"class":5606},"\"  Розмір до:  ",[5319,10619,5679],{"class":5672},[5319,10621,7279],{"class":6075},[5319,10623,7725],{"class":5329},[5319,10625,7715],{"class":5672},[5319,10627,10628],{"class":5606}," зразків\"",[5319,10630,5630],{"class":5329},[5319,10632,10633,10635,10637,10639,10642,10644,10646,10649,10651,10653],{"class":5321,"line":5633},[5319,10634,6076],{"class":6075},[5319,10636,6079],{"class":5329},[5319,10638,5673],{"class":5672},[5319,10640,10641],{"class":5606},"\"  Розмір після: ",[5319,10643,5679],{"class":5672},[5319,10645,7279],{"class":6075},[5319,10647,10648],{"class":5329},"(data_clean)",[5319,10650,7715],{"class":5672},[5319,10652,10628],{"class":5606},[5319,10654,5630],{"class":5329},[5319,10656,10657,10659,10661,10663,10666,10668,10670,10673,10675,10677,10679,10682,10684,10686,10688,10690,10692,10695,10697,10699,10701,10703,10705],{"class":5321,"line":5693},[5319,10658,6076],{"class":6075},[5319,10660,6079],{"class":5329},[5319,10662,5673],{"class":5672},[5319,10664,10665],{"class":5606},"\"  Видалено: ",[5319,10667,5679],{"class":5672},[5319,10669,7279],{"class":6075},[5319,10671,10672],{"class":5329},"(data) - ",[5319,10674,7279],{"class":6075},[5319,10676,10648],{"class":5329},[5319,10678,7715],{"class":5672},[5319,10680,10681],{"class":5606}," зразків (",[5319,10683,5679],{"class":5672},[5319,10685,6079],{"class":5329},[5319,10687,7279],{"class":6075},[5319,10689,10672],{"class":5329},[5319,10691,7279],{"class":6075},[5319,10693,10694],{"class":5329},"(data_clean))\u002F",[5319,10696,7279],{"class":6075},[5319,10698,7741],{"class":5329},[5319,10700,5505],{"class":5365},[5319,10702,5685],{"class":5672},[5319,10704,7748],{"class":5606},[5319,10706,5630],{"class":5329},[5319,10708,10709,10711,10713,10715,10717,10719,10722,10724,10727,10729,10731],{"class":5321,"line":5744},[5319,10710,6076],{"class":6075},[5319,10712,6079],{"class":5329},[5319,10714,5673],{"class":5672},[5319,10716,6089],{"class":5606},[5319,10718,6086],{"class":6085},[5319,10720,10721],{"class":5606},"  Середнє до:  ",[5319,10723,5679],{"class":5672},[5319,10725,10726],{"class":5329},"data.mean()",[5319,10728,7597],{"class":5672},[5319,10730,6089],{"class":5606},[5319,10732,5630],{"class":5329},[5319,10734,10735,10737,10739,10741,10744,10746,10749,10751,10753],{"class":5321,"line":5765},[5319,10736,6076],{"class":6075},[5319,10738,6079],{"class":5329},[5319,10740,5673],{"class":5672},[5319,10742,10743],{"class":5606},"\"  Середнє після: ",[5319,10745,5679],{"class":5672},[5319,10747,10748],{"class":5329},"data_clean.mean()",[5319,10750,7597],{"class":5672},[5319,10752,6089],{"class":5606},[5319,10754,5630],{"class":5329},[5319,10756,10757,10759,10761,10763,10766,10768,10771,10774,10776,10778],{"class":5321,"line":5784},[5319,10758,6076],{"class":6075},[5319,10760,6079],{"class":5329},[5319,10762,5673],{"class":5672},[5319,10764,10765],{"class":5606},"\"  Різниця: ",[5319,10767,5679],{"class":5672},[5319,10769,10770],{"class":6075},"abs",[5319,10772,10773],{"class":5329},"(data.mean() - data_clean.mean())",[5319,10775,7597],{"class":5672},[5319,10777,6089],{"class":5606},[5319,10779,5630],{"class":5329},[6363,10781,10782],{"v-slot:output":5274},[5265,10783,10786],{"className":10784,"code":10785,"language":5270},[5268],"📊 Результати видалення викидів:\n\n  Розмір до:  100 зразків\n  Розмір після: 95 зразків\n  Видалено: 5 зразків (5.0%)\n\n  Середнє до:  51.75\n  Середнє після: 50.12\n  Різниця: 1.63\n",[5272,10787,10785],{"__ignoreMap":5274},[5304,10789,10791],{"id":10790},"_2-обрізання-capping-winsorization","2. Обрізання (Capping \u002F Winsorization)",[5261,10793,10794,10796,10797,10800],{},[5224,10795,10393],{}," Замінити викиди на ",[5224,10798,10799],{},"граничні допустимі значення"," (нижню\u002Fверхню межу).",[5261,10802,10803,10805],{},[5224,10804,9957],{}," Якщо верхня межа = 80, всі значення > 80 стають 80.",[5261,10807,10808],{},[5224,10809,10399],{},[5198,10811,10812,10819,10822],{},[5201,10813,10814,10815,10818],{},"✅ Важливо ",[5224,10816,10817],{},"зберегти всі рядки"," датасету",[5201,10820,10821],{},"✅ Викид — реальне значення, але екстремальне",[5201,10823,10824],{},"✅ Модель чутлива до викидів (лінійна регресія)",[5295,10826,10828],{"kernel":5297,"title":10827},"outlier_capping.ipynb",[5300,10829,10830,11201],{"execution-count":5310},[5265,10831,10833],{"className":5313,"code":10832,"language":5315,"meta":5274,"style":5274},"import numpy as np\n\nrng = np.random.default_rng(seed=42)\n\ndata = np.concatenate([\n    rng.normal(50, 10, 95),\n    np.array([10, 15, 90, 95, 100])\n])\n\n# Обрізання через IQR\nQ1 = np.percentile(data, 25)\nQ3 = np.percentile(data, 75)\nIQR = Q3 - Q1\nlower_bound = Q1 - 1.5 * IQR\nupper_bound = Q3 + 1.5 * IQR\n\ndata_capped = np.copy(data)\ndata_capped[data_capped \u003C lower_bound] = lower_bound\ndata_capped[data_capped > upper_bound] = upper_bound\n\nprint(\"📊 Результати обрізання викидів:\\n\")\nprint(f\"  Розмір: {len(data)} → {len(data_capped)} (не змінився)\")\nprint(f\"\\n  Змінені значення:\")\nprint(f\"    10 → {lower_bound:.2f} (нижня межа)\")\nprint(f\"    15 → {lower_bound:.2f} (нижня межа)\")\nprint(f\"    90 → {upper_bound:.2f} (верхня межа)\")\nprint(f\"    95 → {upper_bound:.2f} (верхня межа)\")\nprint(f\"    100 → {upper_bound:.2f} (верхня межа)\")\nprint(f\"\\n  Середнє до:  {data.mean():.2f}\")\nprint(f\"  Середнє після: {data_capped.mean():.2f}\")\n",[5272,10834,10835,10845,10849,10861,10865,10869,10885,10909,10913,10917,10922,10930,10938,10942,10950,10958,10962,10967,10972,10977,10981,10996,11032,11049,11071,11092,11114,11135,11156,11180],{"__ignoreMap":5274},[5319,10836,10837,10839,10841,10843],{"class":5321,"line":5322},[5319,10838,5326],{"class":5325},[5319,10840,5330],{"class":5329},[5319,10842,5333],{"class":5325},[5319,10844,5336],{"class":5329},[5319,10846,10847],{"class":5321,"line":5339},[5319,10848,5356],{"emptyLinePlaceholder":5355},[5319,10850,10851,10853,10855,10857,10859],{"class":5321,"line":5352},[5319,10852,6740],{"class":5329},[5319,10854,6743],{"class":5555},[5319,10856,5593],{"class":5329},[5319,10858,6748],{"class":5365},[5319,10860,5630],{"class":5329},[5319,10862,10863],{"class":5321,"line":5359},[5319,10864,5356],{"emptyLinePlaceholder":5355},[5319,10866,10867],{"class":5321,"line":5458},[5319,10868,6764],{"class":5329},[5319,10870,10871,10873,10875,10877,10879,10881,10883],{"class":5321,"line":5463},[5319,10872,6769],{"class":5329},[5319,10874,5377],{"class":5365},[5319,10876,5369],{"class":5329},[5319,10878,5847],{"class":5365},[5319,10880,5369],{"class":5329},[5319,10882,6780],{"class":5365},[5319,10884,8127],{"class":5329},[5319,10886,10887,10889,10891,10893,10895,10897,10899,10901,10903,10905,10907],{"class":5321,"line":5470},[5319,10888,6791],{"class":5329},[5319,10890,5847],{"class":5365},[5319,10892,5369],{"class":5329},[5319,10894,6798],{"class":5365},[5319,10896,5369],{"class":5329},[5319,10898,6803],{"class":5365},[5319,10900,5369],{"class":5329},[5319,10902,6780],{"class":5365},[5319,10904,5369],{"class":5329},[5319,10906,5505],{"class":5365},[5319,10908,5455],{"class":5329},[5319,10910,10911],{"class":5321,"line":5476},[5319,10912,5455],{"class":5329},[5319,10914,10915],{"class":5321,"line":5482},[5319,10916,5356],{"emptyLinePlaceholder":5355},[5319,10918,10919],{"class":5321,"line":5488},[5319,10920,10921],{"class":5466},"# Обрізання через IQR\n",[5319,10923,10924,10926,10928],{"class":5321,"line":5493},[5319,10925,6835],{"class":5329},[5319,10927,6838],{"class":5365},[5319,10929,5630],{"class":5329},[5319,10931,10932,10934,10936],{"class":5321,"line":5499},[5319,10933,6845],{"class":5329},[5319,10935,6848],{"class":5365},[5319,10937,5630],{"class":5329},[5319,10939,10940],{"class":5321,"line":5511},[5319,10941,6855],{"class":5329},[5319,10943,10944,10946,10948],{"class":5321,"line":5517},[5319,10945,6869],{"class":5329},[5319,10947,6872],{"class":5365},[5319,10949,6875],{"class":5329},[5319,10951,10952,10954,10956],{"class":5321,"line":5523},[5319,10953,6880],{"class":5329},[5319,10955,6872],{"class":5365},[5319,10957,6875],{"class":5329},[5319,10959,10960],{"class":5321,"line":5529},[5319,10961,5356],{"emptyLinePlaceholder":5355},[5319,10963,10964],{"class":5321,"line":5534},[5319,10965,10966],{"class":5329},"data_capped = np.copy(data)\n",[5319,10968,10969],{"class":5321,"line":5540},[5319,10970,10971],{"class":5329},"data_capped[data_capped \u003C lower_bound] = lower_bound\n",[5319,10973,10974],{"class":5321,"line":5573},[5319,10975,10976],{"class":5329},"data_capped[data_capped > upper_bound] = upper_bound\n",[5319,10978,10979],{"class":5321,"line":5578},[5319,10980,5356],{"emptyLinePlaceholder":5355},[5319,10982,10983,10985,10987,10990,10992,10994],{"class":5321,"line":5584},[5319,10984,6076],{"class":6075},[5319,10986,6079],{"class":5329},[5319,10988,10989],{"class":5606},"\"📊 Результати обрізання викидів:",[5319,10991,6086],{"class":6085},[5319,10993,6089],{"class":5606},[5319,10995,5630],{"class":5329},[5319,10997,10998,11000,11002,11004,11007,11009,11011,11013,11015,11018,11020,11022,11025,11027,11030],{"class":5321,"line":5633},[5319,10999,6076],{"class":6075},[5319,11001,6079],{"class":5329},[5319,11003,5673],{"class":5672},[5319,11005,11006],{"class":5606},"\"  Розмір: ",[5319,11008,5679],{"class":5672},[5319,11010,7279],{"class":6075},[5319,11012,7725],{"class":5329},[5319,11014,7715],{"class":5672},[5319,11016,11017],{"class":5606}," → ",[5319,11019,5679],{"class":5672},[5319,11021,7279],{"class":6075},[5319,11023,11024],{"class":5329},"(data_capped)",[5319,11026,7715],{"class":5672},[5319,11028,11029],{"class":5606}," (не змінився)\"",[5319,11031,5630],{"class":5329},[5319,11033,11034,11036,11038,11040,11042,11044,11047],{"class":5321,"line":5693},[5319,11035,6076],{"class":6075},[5319,11037,6079],{"class":5329},[5319,11039,5673],{"class":5672},[5319,11041,6089],{"class":5606},[5319,11043,6086],{"class":6085},[5319,11045,11046],{"class":5606},"  Змінені значення:\"",[5319,11048,5630],{"class":5329},[5319,11050,11051,11053,11055,11057,11060,11062,11064,11066,11069],{"class":5321,"line":5744},[5319,11052,6076],{"class":6075},[5319,11054,6079],{"class":5329},[5319,11056,5673],{"class":5672},[5319,11058,11059],{"class":5606},"\"    10 → ",[5319,11061,5679],{"class":5672},[5319,11063,7125],{"class":5329},[5319,11065,7597],{"class":5672},[5319,11067,11068],{"class":5606}," (нижня межа)\"",[5319,11070,5630],{"class":5329},[5319,11072,11073,11075,11077,11079,11082,11084,11086,11088,11090],{"class":5321,"line":5765},[5319,11074,6076],{"class":6075},[5319,11076,6079],{"class":5329},[5319,11078,5673],{"class":5672},[5319,11080,11081],{"class":5606},"\"    15 → ",[5319,11083,5679],{"class":5672},[5319,11085,7125],{"class":5329},[5319,11087,7597],{"class":5672},[5319,11089,11068],{"class":5606},[5319,11091,5630],{"class":5329},[5319,11093,11094,11096,11098,11100,11103,11105,11107,11109,11112],{"class":5321,"line":5784},[5319,11095,6076],{"class":6075},[5319,11097,6079],{"class":5329},[5319,11099,5673],{"class":5672},[5319,11101,11102],{"class":5606},"\"    90 → ",[5319,11104,5679],{"class":5672},[5319,11106,7174],{"class":5329},[5319,11108,7597],{"class":5672},[5319,11110,11111],{"class":5606}," (верхня межа)\"",[5319,11113,5630],{"class":5329},[5319,11115,11116,11118,11120,11122,11125,11127,11129,11131,11133],{"class":5321,"line":5805},[5319,11117,6076],{"class":6075},[5319,11119,6079],{"class":5329},[5319,11121,5673],{"class":5672},[5319,11123,11124],{"class":5606},"\"    95 → ",[5319,11126,5679],{"class":5672},[5319,11128,7174],{"class":5329},[5319,11130,7597],{"class":5672},[5319,11132,11111],{"class":5606},[5319,11134,5630],{"class":5329},[5319,11136,11137,11139,11141,11143,11146,11148,11150,11152,11154],{"class":5321,"line":5811},[5319,11138,6076],{"class":6075},[5319,11140,6079],{"class":5329},[5319,11142,5673],{"class":5672},[5319,11144,11145],{"class":5606},"\"    100 → ",[5319,11147,5679],{"class":5672},[5319,11149,7174],{"class":5329},[5319,11151,7597],{"class":5672},[5319,11153,11111],{"class":5606},[5319,11155,5630],{"class":5329},[5319,11157,11158,11160,11162,11164,11166,11168,11170,11172,11174,11176,11178],{"class":5321,"line":5826},[5319,11159,6076],{"class":6075},[5319,11161,6079],{"class":5329},[5319,11163,5673],{"class":5672},[5319,11165,6089],{"class":5606},[5319,11167,6086],{"class":6085},[5319,11169,10721],{"class":5606},[5319,11171,5679],{"class":5672},[5319,11173,10726],{"class":5329},[5319,11175,7597],{"class":5672},[5319,11177,6089],{"class":5606},[5319,11179,5630],{"class":5329},[5319,11181,11182,11184,11186,11188,11190,11192,11195,11197,11199],{"class":5321,"line":5831},[5319,11183,6076],{"class":6075},[5319,11185,6079],{"class":5329},[5319,11187,5673],{"class":5672},[5319,11189,10743],{"class":5606},[5319,11191,5679],{"class":5672},[5319,11193,11194],{"class":5329},"data_capped.mean()",[5319,11196,7597],{"class":5672},[5319,11198,6089],{"class":5606},[5319,11200,5630],{"class":5329},[6363,11202,11203],{"v-slot:output":5274},[5265,11204,11207],{"className":11205,"code":11206,"language":5270},[5268],"📊 Результати обрізання викидів:\n\n  Розмір: 100 → 100 (не змінився)\n\n  Змінені значення:\n    10 → 19.45 (нижня межа)\n    15 → 19.45 (нижня межа)\n    90 → 80.78 (верхня межа)\n    95 → 80.78 (верхня межа)\n    100 → 80.78 (верхня межа)\n\n  Середнє до:  51.75\n  Середнє після: 50.69\n",[5272,11208,11206],{"__ignoreMap":5274},[5304,11210,11212],{"id":11211},"_3-трансформація-transformation","3. Трансформація (Transformation)",[5261,11214,11215,11217,11218,11221],{},[5224,11216,10393],{}," Застосувати математичну трансформацію, яка ",[5224,11219,11220],{},"зменшує вплив"," викидів.",[5261,11223,11224],{},[5224,11225,11226],{},"Популярні трансформації:",[5198,11228,11229,11239,11248],{},[5201,11230,11231,11234,11235,11238],{},[5224,11232,11233],{},"Логарифм:"," ",[5272,11236,11237],{},"log(x)"," — стискає великі значення",[5201,11240,11241,11234,11244,11247],{},[5224,11242,11243],{},"Квадратний корінь:",[5272,11245,11246],{},"√x"," — м'якша, ніж логарифм",[5201,11249,11250,11253],{},[5224,11251,11252],{},"Box-Cox"," — автоматичний вибір оптимальної трансформації",[5261,11255,11256],{},[5224,11257,10399],{},[5198,11259,11260,11266,11273],{},[5201,11261,10336,11262,11265],{},[5224,11263,11264],{},"скошені"," (довгий хвіст)",[5201,11267,11268,11269,11272],{},"✅ Викиди — ",[5224,11270,11271],{},"природні",", але екстремальні (доходи, ціни на акції)",[5201,11274,11275],{},"✅ Потрібно наблизити до нормального розподілу",[5295,11277,11279],{"kernel":5297,"title":11278},"outlier_transformation.ipynb",[5300,11280,11281,11840],{"execution-count":5310},[5265,11282,11284],{"className":5313,"code":11283,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо скошені дані (логнормальний розподіл)\ndata = rng.lognormal(mean=3, sigma=0.8, size=200)\n\n# Трансформація логарифмом\ndata_log = np.log(data)\n\n# Візуалізація\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\nax1.hist(data, bins=30, edgecolor='black', alpha=0.7, color='coral')\nax1.set_xlabel('Значення', fontsize=12)\nax1.set_ylabel('Частота', fontsize=12)\nax1.set_title('До трансформації (скошений розподіл)', fontweight='bold')\nax1.grid(alpha=0.3)\n\nax2.hist(data_log, bins=30, edgecolor='black', alpha=0.7, color='lightgreen')\nax2.set_xlabel('log(Значення)', fontsize=12)\nax2.set_ylabel('Частота', fontsize=12)\nax2.set_title('Після log-трансформації (ближче до нормального)', fontweight='bold')\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Результати трансформації:\\n\")\nprint(f\"  До трансформації:\")\nprint(f\"    Середнє: {data.mean():.2f}\")\nprint(f\"    Стд. відхилення: {data.std():.2f}\")\nprint(f\"    Min: {data.min():.2f}, Max: {data.max():.2f}\")\nprint(f\"\\n  Після log-трансформації:\")\nprint(f\"    Середнє: {data_log.mean():.2f}\")\nprint(f\"    Стд. відхилення: {data_log.std():.2f}\")\nprint(f\"    Min: {data_log.min():.2f}, Max: {data_log.max():.2f}\")\nprint(f\"\\n💡 Розкид зменшився, розподіл став більш симетричним\")\n",[5272,11285,11286,11296,11306,11310,11322,11326,11331,11364,11368,11373,11378,11382,11386,11410,11414,11450,11466,11482,11499,11511,11515,11553,11570,11586,11603,11615,11619,11623,11627,11631,11646,11659,11680,11702,11734,11751,11772,11793,11823],{"__ignoreMap":5274},[5319,11287,11288,11290,11292,11294],{"class":5321,"line":5322},[5319,11289,5326],{"class":5325},[5319,11291,5330],{"class":5329},[5319,11293,5333],{"class":5325},[5319,11295,5336],{"class":5329},[5319,11297,11298,11300,11302,11304],{"class":5321,"line":5339},[5319,11299,5326],{"class":5325},[5319,11301,5344],{"class":5329},[5319,11303,5333],{"class":5325},[5319,11305,5349],{"class":5329},[5319,11307,11308],{"class":5321,"line":5352},[5319,11309,5356],{"emptyLinePlaceholder":5355},[5319,11311,11312,11314,11316,11318,11320],{"class":5321,"line":5359},[5319,11313,6740],{"class":5329},[5319,11315,6743],{"class":5555},[5319,11317,5593],{"class":5329},[5319,11319,6748],{"class":5365},[5319,11321,5630],{"class":5329},[5319,11323,11324],{"class":5321,"line":5458},[5319,11325,5356],{"emptyLinePlaceholder":5355},[5319,11327,11328],{"class":5321,"line":5463},[5319,11329,11330],{"class":5466},"# Генеруємо скошені дані (логнормальний розподіл)\n",[5319,11332,11333,11336,11338,11340,11342,11344,11347,11349,11352,11354,11357,11359,11362],{"class":5321,"line":5470},[5319,11334,11335],{"class":5329},"data = rng.lognormal(",[5319,11337,9168],{"class":5555},[5319,11339,5593],{"class":5329},[5319,11341,8036],{"class":5365},[5319,11343,5369],{"class":5329},[5319,11345,11346],{"class":5555},"sigma",[5319,11348,5593],{"class":5329},[5319,11350,11351],{"class":5365},"0.8",[5319,11353,5369],{"class":5329},[5319,11355,11356],{"class":5555},"size",[5319,11358,5593],{"class":5329},[5319,11360,11361],{"class":5365},"200",[5319,11363,5630],{"class":5329},[5319,11365,11366],{"class":5321,"line":5476},[5319,11367,5356],{"emptyLinePlaceholder":5355},[5319,11369,11370],{"class":5321,"line":5482},[5319,11371,11372],{"class":5466},"# Трансформація логарифмом\n",[5319,11374,11375],{"class":5321,"line":5488},[5319,11376,11377],{"class":5329},"data_log = np.log(data)\n",[5319,11379,11380],{"class":5321,"line":5493},[5319,11381,5356],{"emptyLinePlaceholder":5355},[5319,11383,11384],{"class":5321,"line":5499},[5319,11385,5537],{"class":5466},[5319,11387,11388,11390,11392,11394,11396,11398,11400,11402,11404,11406,11408],{"class":5321,"line":5511},[5319,11389,5543],{"class":5329},[5319,11391,5310],{"class":5365},[5319,11393,5369],{"class":5329},[5319,11395,5550],{"class":5365},[5319,11397,5369],{"class":5329},[5319,11399,5556],{"class":5555},[5319,11401,5559],{"class":5329},[5319,11403,5562],{"class":5365},[5319,11405,5369],{"class":5329},[5319,11407,5567],{"class":5365},[5319,11409,5570],{"class":5329},[5319,11411,11412],{"class":5321,"line":5517},[5319,11413,5356],{"emptyLinePlaceholder":5355},[5319,11415,11416,11418,11420,11422,11424,11426,11428,11430,11432,11434,11436,11438,11440,11442,11444,11446,11448],{"class":5321,"line":5523},[5319,11417,6949],{"class":5329},[5319,11419,5590],{"class":5555},[5319,11421,5593],{"class":5329},[5319,11423,6956],{"class":5365},[5319,11425,5369],{"class":5329},[5319,11427,5601],{"class":5555},[5319,11429,5593],{"class":5329},[5319,11431,5607],{"class":5606},[5319,11433,5369],{"class":5329},[5319,11435,5612],{"class":5555},[5319,11437,5593],{"class":5329},[5319,11439,5617],{"class":5365},[5319,11441,5369],{"class":5329},[5319,11443,5622],{"class":5555},[5319,11445,5593],{"class":5329},[5319,11447,5627],{"class":5606},[5319,11449,5630],{"class":5329},[5319,11451,11452,11454,11456,11458,11460,11462,11464],{"class":5321,"line":5529},[5319,11453,5747],{"class":5329},[5319,11455,7187],{"class":5606},[5319,11457,5369],{"class":5329},[5319,11459,5755],{"class":5555},[5319,11461,5593],{"class":5329},[5319,11463,5760],{"class":5365},[5319,11465,5630],{"class":5329},[5319,11467,11468,11470,11472,11474,11476,11478,11480],{"class":5321,"line":5534},[5319,11469,5768],{"class":5329},[5319,11471,5771],{"class":5606},[5319,11473,5369],{"class":5329},[5319,11475,5755],{"class":5555},[5319,11477,5593],{"class":5329},[5319,11479,5760],{"class":5365},[5319,11481,5630],{"class":5329},[5319,11483,11484,11486,11489,11491,11493,11495,11497],{"class":5321,"line":5540},[5319,11485,5787],{"class":5329},[5319,11487,11488],{"class":5606},"'До трансформації (скошений розподіл)'",[5319,11490,5369],{"class":5329},[5319,11492,5795],{"class":5555},[5319,11494,5593],{"class":5329},[5319,11496,5800],{"class":5606},[5319,11498,5630],{"class":5329},[5319,11500,11501,11503,11505,11507,11509],{"class":5321,"line":5573},[5319,11502,5814],{"class":5329},[5319,11504,5612],{"class":5555},[5319,11506,5593],{"class":5329},[5319,11508,5821],{"class":5365},[5319,11510,5630],{"class":5329},[5319,11512,11513],{"class":5321,"line":5578},[5319,11514,5356],{"emptyLinePlaceholder":5355},[5319,11516,11517,11520,11522,11524,11526,11528,11530,11532,11534,11536,11538,11540,11542,11544,11546,11548,11551],{"class":5321,"line":5584},[5319,11518,11519],{"class":5329},"ax2.hist(data_log, ",[5319,11521,5590],{"class":5555},[5319,11523,5593],{"class":5329},[5319,11525,6956],{"class":5365},[5319,11527,5369],{"class":5329},[5319,11529,5601],{"class":5555},[5319,11531,5593],{"class":5329},[5319,11533,5607],{"class":5606},[5319,11535,5369],{"class":5329},[5319,11537,5612],{"class":5555},[5319,11539,5593],{"class":5329},[5319,11541,5617],{"class":5365},[5319,11543,5369],{"class":5329},[5319,11545,5622],{"class":5555},[5319,11547,5593],{"class":5329},[5319,11549,11550],{"class":5606},"'lightgreen'",[5319,11552,5630],{"class":5329},[5319,11554,11555,11557,11560,11562,11564,11566,11568],{"class":5321,"line":5633},[5319,11556,5978],{"class":5329},[5319,11558,11559],{"class":5606},"'log(Значення)'",[5319,11561,5369],{"class":5329},[5319,11563,5755],{"class":5555},[5319,11565,5593],{"class":5329},[5319,11567,5760],{"class":5365},[5319,11569,5630],{"class":5329},[5319,11571,11572,11574,11576,11578,11580,11582,11584],{"class":5321,"line":5693},[5319,11573,5996],{"class":5329},[5319,11575,5771],{"class":5606},[5319,11577,5369],{"class":5329},[5319,11579,5755],{"class":5555},[5319,11581,5593],{"class":5329},[5319,11583,5760],{"class":5365},[5319,11585,5630],{"class":5329},[5319,11587,11588,11590,11593,11595,11597,11599,11601],{"class":5321,"line":5744},[5319,11589,6014],{"class":5329},[5319,11591,11592],{"class":5606},"'Після log-трансформації (ближче до нормального)'",[5319,11594,5369],{"class":5329},[5319,11596,5795],{"class":5555},[5319,11598,5593],{"class":5329},[5319,11600,5800],{"class":5606},[5319,11602,5630],{"class":5329},[5319,11604,11605,11607,11609,11611,11613],{"class":5321,"line":5765},[5319,11606,6039],{"class":5329},[5319,11608,5612],{"class":5555},[5319,11610,5593],{"class":5329},[5319,11612,5821],{"class":5365},[5319,11614,5630],{"class":5329},[5319,11616,11617],{"class":5321,"line":5784},[5319,11618,5356],{"emptyLinePlaceholder":5355},[5319,11620,11621],{"class":5321,"line":5805},[5319,11622,6058],{"class":5329},[5319,11624,11625],{"class":5321,"line":5811},[5319,11626,6064],{"class":5329},[5319,11628,11629],{"class":5321,"line":5826},[5319,11630,5356],{"emptyLinePlaceholder":5355},[5319,11632,11633,11635,11637,11640,11642,11644],{"class":5321,"line":5831},[5319,11634,6076],{"class":6075},[5319,11636,6079],{"class":5329},[5319,11638,11639],{"class":5606},"\"📊 Результати трансформації:",[5319,11641,6086],{"class":6085},[5319,11643,6089],{"class":5606},[5319,11645,5630],{"class":5329},[5319,11647,11648,11650,11652,11654,11657],{"class":5321,"line":5837},[5319,11649,6076],{"class":6075},[5319,11651,6079],{"class":5329},[5319,11653,5673],{"class":5672},[5319,11655,11656],{"class":5606},"\"  До трансформації:\"",[5319,11658,5630],{"class":5329},[5319,11660,11661,11663,11665,11667,11670,11672,11674,11676,11678],{"class":5321,"line":5877},[5319,11662,6076],{"class":6075},[5319,11664,6079],{"class":5329},[5319,11666,5673],{"class":5672},[5319,11668,11669],{"class":5606},"\"    Середнє: ",[5319,11671,5679],{"class":5672},[5319,11673,10726],{"class":5329},[5319,11675,7597],{"class":5672},[5319,11677,6089],{"class":5606},[5319,11679,5630],{"class":5329},[5319,11681,11682,11684,11686,11688,11691,11693,11696,11698,11700],{"class":5321,"line":5926},[5319,11683,6076],{"class":6075},[5319,11685,6079],{"class":5329},[5319,11687,5673],{"class":5672},[5319,11689,11690],{"class":5606},"\"    Стд. відхилення: ",[5319,11692,5679],{"class":5672},[5319,11694,11695],{"class":5329},"data.std()",[5319,11697,7597],{"class":5672},[5319,11699,6089],{"class":5606},[5319,11701,5630],{"class":5329},[5319,11703,11704,11706,11708,11710,11713,11715,11718,11720,11723,11725,11728,11730,11732],{"class":5321,"line":5975},[5319,11705,6076],{"class":6075},[5319,11707,6079],{"class":5329},[5319,11709,5673],{"class":5672},[5319,11711,11712],{"class":5606},"\"    Min: ",[5319,11714,5679],{"class":5672},[5319,11716,11717],{"class":5329},"data.min()",[5319,11719,7597],{"class":5672},[5319,11721,11722],{"class":5606},", Max: ",[5319,11724,5679],{"class":5672},[5319,11726,11727],{"class":5329},"data.max()",[5319,11729,7597],{"class":5672},[5319,11731,6089],{"class":5606},[5319,11733,5630],{"class":5329},[5319,11735,11736,11738,11740,11742,11744,11746,11749],{"class":5321,"line":5993},[5319,11737,6076],{"class":6075},[5319,11739,6079],{"class":5329},[5319,11741,5673],{"class":5672},[5319,11743,6089],{"class":5606},[5319,11745,6086],{"class":6085},[5319,11747,11748],{"class":5606},"  Після log-трансформації:\"",[5319,11750,5630],{"class":5329},[5319,11752,11753,11755,11757,11759,11761,11763,11766,11768,11770],{"class":5321,"line":6011},[5319,11754,6076],{"class":6075},[5319,11756,6079],{"class":5329},[5319,11758,5673],{"class":5672},[5319,11760,11669],{"class":5606},[5319,11762,5679],{"class":5672},[5319,11764,11765],{"class":5329},"data_log.mean()",[5319,11767,7597],{"class":5672},[5319,11769,6089],{"class":5606},[5319,11771,5630],{"class":5329},[5319,11773,11774,11776,11778,11780,11782,11784,11787,11789,11791],{"class":5321,"line":6030},[5319,11775,6076],{"class":6075},[5319,11777,6079],{"class":5329},[5319,11779,5673],{"class":5672},[5319,11781,11690],{"class":5606},[5319,11783,5679],{"class":5672},[5319,11785,11786],{"class":5329},"data_log.std()",[5319,11788,7597],{"class":5672},[5319,11790,6089],{"class":5606},[5319,11792,5630],{"class":5329},[5319,11794,11795,11797,11799,11801,11803,11805,11808,11810,11812,11814,11817,11819,11821],{"class":5321,"line":6036},[5319,11796,6076],{"class":6075},[5319,11798,6079],{"class":5329},[5319,11800,5673],{"class":5672},[5319,11802,11712],{"class":5606},[5319,11804,5679],{"class":5672},[5319,11806,11807],{"class":5329},"data_log.min()",[5319,11809,7597],{"class":5672},[5319,11811,11722],{"class":5606},[5319,11813,5679],{"class":5672},[5319,11815,11816],{"class":5329},"data_log.max()",[5319,11818,7597],{"class":5672},[5319,11820,6089],{"class":5606},[5319,11822,5630],{"class":5329},[5319,11824,11825,11827,11829,11831,11833,11835,11838],{"class":5321,"line":6050},[5319,11826,6076],{"class":6075},[5319,11828,6079],{"class":5329},[5319,11830,5673],{"class":5672},[5319,11832,6089],{"class":5606},[5319,11834,6086],{"class":6085},[5319,11836,11837],{"class":5606},"💡 Розкид зменшився, розподіл став більш симетричним\"",[5319,11839,5630],{"class":5329},[6363,11841,11842,11849],{"v-slot:output":5274},[5261,11843,11844],{},[6368,11845],{"alt":11846,"className":11847,"src":11848},"Логарифмічна трансформація скошеного розподілу з викидами",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F05.png",[5265,11850,11853],{"className":11851,"code":11852,"language":5270},[5268],"📊 Результати трансформації:\n\n  До трансформації:\n    Середнє: 24.18\n    Стд. відхилення: 20.12\n    Min: 3.52, Max: 140.29\n\n  Після log-трансформації:\n    Середнє: 3.02\n    Стд. відхилення: 0.79\n    Min: 1.26, Max: 4.94\n\n💡 Розкид зменшився, розподіл став більш симетричним\n",[5272,11854,11852],{"__ignoreMap":5274},[5304,11856,11858],{"id":11857},"_4-заміна-на-імпутацію-imputation","4. Заміна на імпутацію (Imputation)",[5261,11860,11861,10796,11863,5369,11866,11869,11870,6609],{},[5224,11862,10393],{},[5224,11864,11865],{},"середнє",[5224,11867,11868],{},"медіану"," або ",[5224,11871,11872],{},"передбачене значення",[5261,11874,11875],{},[5224,11876,10399],{},[5198,11878,11879,11882],{},[5201,11880,11881],{},"✅ Викид — помилка, але видалити рядок не можна (мало даних)",[5201,11883,11884],{},"✅ Важливіша повнота датасету, ніж точність окремих значень",[5261,11886,11887],{},[5224,11888,11889],{},"Методи:",[5198,11891,11892,11895,11898],{},[5201,11893,11894],{},"Середнє \u002F Медіана",[5201,11896,11897],{},"Інтерполяція (для часових рядів)",[5201,11899,11900],{},"Модельна імпутація (KNN, регресія)",[5304,11902,11904],{"id":11903},"_5-залишити-як-є","5. Залишити як є",[5261,11906,11907,11909],{},[5224,11908,10393],{}," Нічого не робити з викидами.",[5261,11911,11912],{},[5224,11913,10399],{},[5198,11915,11916,11921,11928],{},[5201,11917,10404,11918,11920],{},[5224,11919,6561],{}," (виявлення шахрайства, несправностей)",[5201,11922,11923,11924,11927],{},"✅ Використовуєте ",[5224,11925,11926],{},"робастні алгоритми"," (дерева рішень, Random Forest, Gradient Boosting)",[5201,11929,11930,11931],{},"✅ Викид несе ",[5224,11932,11933],{},"важливу інформацію",[8627,11935,11936,11941,11946,11957,11962],{},[5261,11937,11938],{},[5224,11939,11940],{},"Рекомендації за типом ML-моделі:",[5261,11942,11943],{},[5224,11944,11945],{},"Чутливі до викидів:",[5198,11947,11948,11951,11954],{},[5201,11949,11950],{},"Лінійна регресія → видаліть або обріжте",[5201,11952,11953],{},"KNN → стандартизуйте + видаліть екстремальні",[5201,11955,11956],{},"SVM → стандартизуйте",[5261,11958,11959],{},[5224,11960,11961],{},"Робастні (стійкі) до викидів:",[5198,11963,11964,11967,11970,11973],{},[5201,11965,11966],{},"Дерева рішень → можна залишити",[5201,11968,11969],{},"Random Forest → можна залишити",[5201,11971,11972],{},"Gradient Boosting → можна залишити",[5201,11974,11975],{},"Медіанна регресія → спеціально для викидів",[5253,11977],{},[5256,11979,11981],{"id":11980},"порівняння-методів-iqr-vs-z-score","Порівняння методів IQR vs Z-Score",[5295,11983,11985],{"kernel":5297,"title":11984},"iqr_vs_zscore_comparison.ipynb",[5300,11986,11987,13115],{"execution-count":5310},[5265,11988,11990],{"className":5313,"code":11989,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо три типи даних\ndata_normal = rng.normal(50, 10, 100)\ndata_skewed = rng.exponential(20, 100)\ndata_with_outliers = np.concatenate([rng.normal(50, 10, 95), np.array([10, 15, 90, 95, 100])])\n\ndatasets = [data_normal, data_skewed, data_with_outliers]\ntitles = ['Нормальний розподіл', 'Скошений розподіл', 'З викидами']\n\nfig, axes = plt.subplots(3, 2, figsize=(14, 10))\n\nfor row, (data, title) in enumerate(zip(datasets, titles)):\n    # Метод IQR\n    Q1 = np.percentile(data, 25)\n    Q3 = np.percentile(data, 75)\n    IQR = Q3 - Q1\n    iqr_lower = Q1 - 1.5 * IQR\n    iqr_upper = Q3 + 1.5 * IQR\n    iqr_outliers = (data \u003C iqr_lower) | (data > iqr_upper)\n    \n    # Метод Z-score\n    mean = data.mean()\n    std = data.std()\n    z_scores = np.abs((data - mean) \u002F std)\n    z_outliers = z_scores > 3\n    \n    # Графік IQR\n    axes[row, 0].scatter(range(len(data)), data, c=['red' if o else 'green' for o in iqr_outliers], \n                         s=50, alpha=0.6, edgecolors='black', linewidths=0.5)\n    axes[row, 0].axhline(iqr_lower, color='red', linestyle='--', linewidth=1.5, label='IQR межі')\n    axes[row, 0].axhline(iqr_upper, color='red', linestyle='--', linewidth=1.5)\n    axes[row, 0].set_title(f'{title} — Метод IQR', fontweight='bold')\n    axes[row, 0].set_ylabel('Значення')\n    axes[row, 0].legend()\n    axes[row, 0].grid(alpha=0.3)\n    axes[row, 0].text(0.02, 0.98, f'Викидів: {iqr_outliers.sum()} ({iqr_outliers.sum()\u002Flen(data)*100:.0f}%)', \n                      transform=axes[row, 0].transAxes, va='top', fontsize=10,\n                      bbox=dict(boxstyle='round', facecolor='yellow', alpha=0.7))\n    \n    # Графік Z-score\n    axes[row, 1].scatter(range(len(data)), data, c=['red' if o else 'green' for o in z_outliers], \n                         s=50, alpha=0.6, edgecolors='black', linewidths=0.5)\n    axes[row, 1].axhline(mean + 3*std, color='red', linestyle='--', linewidth=1.5, label='±3σ межі')\n    axes[row, 1].axhline(mean - 3*std, color='red', linestyle='--', linewidth=1.5)\n    axes[row, 1].set_title(f'{title} — Метод Z-score', fontweight='bold')\n    axes[row, 1].set_ylabel('Значення')\n    axes[row, 1].legend()\n    axes[row, 1].grid(alpha=0.3)\n    axes[row, 1].text(0.02, 0.98, f'Викидів: {z_outliers.sum()} ({z_outliers.sum()\u002Flen(data)*100:.0f}%)', \n                      transform=axes[row, 1].transAxes, va='top', fontsize=10,\n                      bbox=dict(boxstyle='round', facecolor='yellow', alpha=0.7))\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Висновки порівняння:\\n\")\nprint(\"  IQR (Міжквартильний розмах):\")\nprint(\"    ✅ Робастний — не залежить від викидів\")\nprint(\"    ✅ Працює для будь-яких розподілів\")\nprint(\"    ✅ Візуалізація через box plot\")\nprint(\"    ❌ Може виявити більше 'хибних' викидів у довгих хвостах\\n\")\nprint(\"  Z-Score (Стандартизація):\")\nprint(\"    ✅ Інтуїтивний (скільки σ від середнього)\")\nprint(\"    ✅ Підходить для нормальних розподілів\")\nprint(\"    ❌ Не робастний — залежить від викидів\")\nprint(\"    ❌ Не підходить для скошених розподілів\")\n",[5272,11991,11992,12002,12012,12016,12028,12032,12037,12054,12067,12104,12108,12113,12133,12137,12161,12165,12185,12190,12198,12206,12211,12220,12229,12234,12238,12243,12248,12253,12258,12265,12269,12274,12322,12357,12399,12432,12465,12478,12487,12504,12556,12587,12625,12629,12634,12673,12707,12753,12790,12821,12833,12841,12857,12903,12929,12963,12967,12971,12975,12979,12994,13005,13016,13027,13039,13055,13067,13079,13091,13103],{"__ignoreMap":5274},[5319,11993,11994,11996,11998,12000],{"class":5321,"line":5322},[5319,11995,5326],{"class":5325},[5319,11997,5330],{"class":5329},[5319,11999,5333],{"class":5325},[5319,12001,5336],{"class":5329},[5319,12003,12004,12006,12008,12010],{"class":5321,"line":5339},[5319,12005,5326],{"class":5325},[5319,12007,5344],{"class":5329},[5319,12009,5333],{"class":5325},[5319,12011,5349],{"class":5329},[5319,12013,12014],{"class":5321,"line":5352},[5319,12015,5356],{"emptyLinePlaceholder":5355},[5319,12017,12018,12020,12022,12024,12026],{"class":5321,"line":5359},[5319,12019,6740],{"class":5329},[5319,12021,6743],{"class":5555},[5319,12023,5593],{"class":5329},[5319,12025,6748],{"class":5365},[5319,12027,5630],{"class":5329},[5319,12029,12030],{"class":5321,"line":5458},[5319,12031,5356],{"emptyLinePlaceholder":5355},[5319,12033,12034],{"class":5321,"line":5463},[5319,12035,12036],{"class":5466},"# Генеруємо три типи даних\n",[5319,12038,12039,12042,12044,12046,12048,12050,12052],{"class":5321,"line":5470},[5319,12040,12041],{"class":5329},"data_normal = rng.normal(",[5319,12043,5377],{"class":5365},[5319,12045,5369],{"class":5329},[5319,12047,5847],{"class":5365},[5319,12049,5369],{"class":5329},[5319,12051,5505],{"class":5365},[5319,12053,5630],{"class":5329},[5319,12055,12056,12059,12061,12063,12065],{"class":5321,"line":5476},[5319,12057,12058],{"class":5329},"data_skewed = rng.exponential(",[5319,12060,5596],{"class":5365},[5319,12062,5369],{"class":5329},[5319,12064,5505],{"class":5365},[5319,12066,5630],{"class":5329},[5319,12068,12069,12072,12074,12076,12078,12080,12082,12084,12086,12088,12090,12092,12094,12096,12098,12100,12102],{"class":5321,"line":5482},[5319,12070,12071],{"class":5329},"data_with_outliers = np.concatenate([rng.normal(",[5319,12073,5377],{"class":5365},[5319,12075,5369],{"class":5329},[5319,12077,5847],{"class":5365},[5319,12079,5369],{"class":5329},[5319,12081,6780],{"class":5365},[5319,12083,7921],{"class":5329},[5319,12085,5847],{"class":5365},[5319,12087,5369],{"class":5329},[5319,12089,6798],{"class":5365},[5319,12091,5369],{"class":5329},[5319,12093,6803],{"class":5365},[5319,12095,5369],{"class":5329},[5319,12097,6780],{"class":5365},[5319,12099,5369],{"class":5329},[5319,12101,5505],{"class":5365},[5319,12103,7942],{"class":5329},[5319,12105,12106],{"class":5321,"line":5488},[5319,12107,5356],{"emptyLinePlaceholder":5355},[5319,12109,12110],{"class":5321,"line":5493},[5319,12111,12112],{"class":5329},"datasets = [data_normal, data_skewed, data_with_outliers]\n",[5319,12114,12115,12118,12121,12123,12126,12128,12131],{"class":5321,"line":5499},[5319,12116,12117],{"class":5329},"titles = [",[5319,12119,12120],{"class":5606},"'Нормальний розподіл'",[5319,12122,5369],{"class":5329},[5319,12124,12125],{"class":5606},"'Скошений розподіл'",[5319,12127,5369],{"class":5329},[5319,12129,12130],{"class":5606},"'З викидами'",[5319,12132,5508],{"class":5329},[5319,12134,12135],{"class":5321,"line":5511},[5319,12136,5356],{"emptyLinePlaceholder":5355},[5319,12138,12139,12141,12143,12145,12147,12149,12151,12153,12155,12157,12159],{"class":5321,"line":5517},[5319,12140,8029],{"class":5329},[5319,12142,8036],{"class":5365},[5319,12144,5369],{"class":5329},[5319,12146,5550],{"class":5365},[5319,12148,5369],{"class":5329},[5319,12150,5556],{"class":5555},[5319,12152,5559],{"class":5329},[5319,12154,5562],{"class":5365},[5319,12156,5369],{"class":5329},[5319,12158,5847],{"class":5365},[5319,12160,5570],{"class":5329},[5319,12162,12163],{"class":5321,"line":5523},[5319,12164,5356],{"emptyLinePlaceholder":5355},[5319,12166,12167,12169,12172,12174,12177,12179,12182],{"class":5321,"line":5529},[5319,12168,8059],{"class":5325},[5319,12170,12171],{"class":5329}," row, (data, title) ",[5319,12173,8065],{"class":5325},[5319,12175,12176],{"class":6075}," enumerate",[5319,12178,6079],{"class":5329},[5319,12180,12181],{"class":6075},"zip",[5319,12183,12184],{"class":5329},"(datasets, titles)):\n",[5319,12186,12187],{"class":5321,"line":5534},[5319,12188,12189],{"class":5466},"    # Метод IQR\n",[5319,12191,12192,12194,12196],{"class":5321,"line":5540},[5319,12193,8345],{"class":5329},[5319,12195,6838],{"class":5365},[5319,12197,5630],{"class":5329},[5319,12199,12200,12202,12204],{"class":5321,"line":5573},[5319,12201,8354],{"class":5329},[5319,12203,6848],{"class":5365},[5319,12205,5630],{"class":5329},[5319,12207,12208],{"class":5321,"line":5578},[5319,12209,12210],{"class":5329},"    IQR = Q3 - Q1\n",[5319,12212,12213,12216,12218],{"class":5321,"line":5584},[5319,12214,12215],{"class":5329},"    iqr_lower = Q1 - ",[5319,12217,6872],{"class":5365},[5319,12219,6875],{"class":5329},[5319,12221,12222,12225,12227],{"class":5321,"line":5633},[5319,12223,12224],{"class":5329},"    iqr_upper = Q3 + ",[5319,12226,6872],{"class":5365},[5319,12228,6875],{"class":5329},[5319,12230,12231],{"class":5321,"line":5693},[5319,12232,12233],{"class":5329},"    iqr_outliers = (data \u003C iqr_lower) | (data > iqr_upper)\n",[5319,12235,12236],{"class":5321,"line":5744},[5319,12237,8270],{"class":5329},[5319,12239,12240],{"class":5321,"line":5765},[5319,12241,12242],{"class":5466},"    # Метод Z-score\n",[5319,12244,12245],{"class":5321,"line":5784},[5319,12246,12247],{"class":5329},"    mean = data.mean()\n",[5319,12249,12250],{"class":5321,"line":5805},[5319,12251,12252],{"class":5329},"    std = data.std()\n",[5319,12254,12255],{"class":5321,"line":5811},[5319,12256,12257],{"class":5329},"    z_scores = np.abs((data - mean) \u002F std)\n",[5319,12259,12260,12263],{"class":5321,"line":5826},[5319,12261,12262],{"class":5329},"    z_outliers = z_scores > ",[5319,12264,8935],{"class":5365},[5319,12266,12267],{"class":5321,"line":5831},[5319,12268,8270],{"class":5329},[5319,12270,12271],{"class":5321,"line":5837},[5319,12272,12273],{"class":5466},"    # Графік IQR\n",[5319,12275,12276,12279,12281,12284,12286,12288,12290,12293,12295,12298,12300,12303,12306,12309,12312,12315,12317,12319],{"class":5321,"line":5877},[5319,12277,12278],{"class":5329},"    axes[row, ",[5319,12280,7964],{"class":5365},[5319,12282,12283],{"class":5329},"].scatter(",[5319,12285,7274],{"class":6075},[5319,12287,6079],{"class":5329},[5319,12289,7279],{"class":6075},[5319,12291,12292],{"class":5329},"(data)), data, ",[5319,12294,7285],{"class":5555},[5319,12296,12297],{"class":5329},"=[",[5319,12299,5643],{"class":5606},[5319,12301,12302],{"class":5325}," if",[5319,12304,12305],{"class":5329}," o ",[5319,12307,12308],{"class":5325},"else",[5319,12310,12311],{"class":5606}," 'green'",[5319,12313,12314],{"class":5325}," for",[5319,12316,12305],{"class":5329},[5319,12318,8065],{"class":5325},[5319,12320,12321],{"class":5329}," iqr_outliers], \n",[5319,12323,12324,12327,12329,12331,12333,12335,12337,12339,12341,12343,12345,12347,12349,12351,12353,12355],{"class":5321,"line":5926},[5319,12325,12326],{"class":5555},"                         s",[5319,12328,5593],{"class":5329},[5319,12330,5377],{"class":5365},[5319,12332,5369],{"class":5329},[5319,12334,5612],{"class":5555},[5319,12336,5593],{"class":5329},[5319,12338,7298],{"class":5365},[5319,12340,5369],{"class":5329},[5319,12342,7312],{"class":5555},[5319,12344,5593],{"class":5329},[5319,12346,5607],{"class":5606},[5319,12348,5369],{"class":5329},[5319,12350,7321],{"class":5555},[5319,12352,5593],{"class":5329},[5319,12354,7326],{"class":5365},[5319,12356,5630],{"class":5329},[5319,12358,12359,12361,12363,12366,12368,12370,12372,12374,12376,12378,12380,12382,12384,12386,12388,12390,12392,12394,12397],{"class":5321,"line":5975},[5319,12360,12278],{"class":5329},[5319,12362,7964],{"class":5365},[5319,12364,12365],{"class":5329},"].axhline(iqr_lower, ",[5319,12367,5622],{"class":5555},[5319,12369,5593],{"class":5329},[5319,12371,5643],{"class":5606},[5319,12373,5369],{"class":5329},[5319,12375,5648],{"class":5555},[5319,12377,5593],{"class":5329},[5319,12379,5653],{"class":5606},[5319,12381,5369],{"class":5329},[5319,12383,5658],{"class":5555},[5319,12385,5593],{"class":5329},[5319,12387,6872],{"class":5365},[5319,12389,5369],{"class":5329},[5319,12391,5667],{"class":5555},[5319,12393,5593],{"class":5329},[5319,12395,12396],{"class":5606},"'IQR межі'",[5319,12398,5630],{"class":5329},[5319,12400,12401,12403,12405,12408,12410,12412,12414,12416,12418,12420,12422,12424,12426,12428,12430],{"class":5321,"line":5993},[5319,12402,12278],{"class":5329},[5319,12404,7964],{"class":5365},[5319,12406,12407],{"class":5329},"].axhline(iqr_upper, ",[5319,12409,5622],{"class":5555},[5319,12411,5593],{"class":5329},[5319,12413,5643],{"class":5606},[5319,12415,5369],{"class":5329},[5319,12417,5648],{"class":5555},[5319,12419,5593],{"class":5329},[5319,12421,5653],{"class":5606},[5319,12423,5369],{"class":5329},[5319,12425,5658],{"class":5555},[5319,12427,5593],{"class":5329},[5319,12429,6872],{"class":5365},[5319,12431,5630],{"class":5329},[5319,12433,12434,12436,12438,12441,12443,12445,12447,12450,12452,12455,12457,12459,12461,12463],{"class":5321,"line":6011},[5319,12435,12278],{"class":5329},[5319,12437,7964],{"class":5365},[5319,12439,12440],{"class":5329},"].set_title(",[5319,12442,5673],{"class":5672},[5319,12444,7031],{"class":5606},[5319,12446,5679],{"class":5672},[5319,12448,12449],{"class":5329},"title",[5319,12451,7715],{"class":5672},[5319,12453,12454],{"class":5606}," — Метод IQR'",[5319,12456,5369],{"class":5329},[5319,12458,5795],{"class":5555},[5319,12460,5593],{"class":5329},[5319,12462,5800],{"class":5606},[5319,12464,5630],{"class":5329},[5319,12466,12467,12469,12471,12474,12476],{"class":5321,"line":6030},[5319,12468,12278],{"class":5329},[5319,12470,7964],{"class":5365},[5319,12472,12473],{"class":5329},"].set_ylabel(",[5319,12475,7187],{"class":5606},[5319,12477,5630],{"class":5329},[5319,12479,12480,12482,12484],{"class":5321,"line":6036},[5319,12481,12278],{"class":5329},[5319,12483,7964],{"class":5365},[5319,12485,12486],{"class":5329},"].legend()\n",[5319,12488,12489,12491,12493,12496,12498,12500,12502],{"class":5321,"line":6050},[5319,12490,12278],{"class":5329},[5319,12492,7964],{"class":5365},[5319,12494,12495],{"class":5329},"].grid(",[5319,12497,5612],{"class":5555},[5319,12499,5593],{"class":5329},[5319,12501,5821],{"class":5365},[5319,12503,5630],{"class":5329},[5319,12505,12506,12508,12510,12513,12516,12518,12521,12523,12525,12528,12530,12533,12535,12537,12539,12542,12544,12546,12548,12551,12554],{"class":5321,"line":6055},[5319,12507,12278],{"class":5329},[5319,12509,7964],{"class":5365},[5319,12511,12512],{"class":5329},"].text(",[5319,12514,12515],{"class":5365},"0.02",[5319,12517,5369],{"class":5329},[5319,12519,12520],{"class":5365},"0.98",[5319,12522,5369],{"class":5329},[5319,12524,5673],{"class":5672},[5319,12526,12527],{"class":5606},"'Викидів: ",[5319,12529,5679],{"class":5672},[5319,12531,12532],{"class":5329},"iqr_outliers.sum()",[5319,12534,7715],{"class":5672},[5319,12536,6397],{"class":5606},[5319,12538,5679],{"class":5672},[5319,12540,12541],{"class":5329},"iqr_outliers.sum()\u002F",[5319,12543,7279],{"class":6075},[5319,12545,7741],{"class":5329},[5319,12547,5505],{"class":5365},[5319,12549,12550],{"class":5672},":.0f}",[5319,12552,12553],{"class":5606},"%)'",[5319,12555,8096],{"class":5329},[5319,12557,12558,12561,12564,12566,12569,12571,12573,12576,12578,12580,12582,12584],{"class":5321,"line":6061},[5319,12559,12560],{"class":5555},"                      transform",[5319,12562,12563],{"class":5329},"=axes[row, ",[5319,12565,7964],{"class":5365},[5319,12567,12568],{"class":5329},"].transAxes, ",[5319,12570,8405],{"class":5555},[5319,12572,5593],{"class":5329},[5319,12574,12575],{"class":5606},"'top'",[5319,12577,5369],{"class":5329},[5319,12579,5755],{"class":5555},[5319,12581,5593],{"class":5329},[5319,12583,5847],{"class":5365},[5319,12585,12586],{"class":5329},",\n",[5319,12588,12589,12592,12594,12596,12598,12601,12603,12606,12608,12610,12612,12615,12617,12619,12621,12623],{"class":5321,"line":6067},[5319,12590,12591],{"class":5555},"                      bbox",[5319,12593,5593],{"class":5329},[5319,12595,8107],{"class":8106},[5319,12597,6079],{"class":5329},[5319,12599,12600],{"class":5555},"boxstyle",[5319,12602,5593],{"class":5329},[5319,12604,12605],{"class":5606},"'round'",[5319,12607,5369],{"class":5329},[5319,12609,8112],{"class":5555},[5319,12611,5593],{"class":5329},[5319,12613,12614],{"class":5606},"'yellow'",[5319,12616,5369],{"class":5329},[5319,12618,5612],{"class":5555},[5319,12620,5593],{"class":5329},[5319,12622,5617],{"class":5365},[5319,12624,5570],{"class":5329},[5319,12626,12627],{"class":5321,"line":6072},[5319,12628,8270],{"class":5329},[5319,12630,12631],{"class":5321,"line":6094},[5319,12632,12633],{"class":5466},"    # Графік Z-score\n",[5319,12635,12636,12638,12640,12642,12644,12646,12648,12650,12652,12654,12656,12658,12660,12662,12664,12666,12668,12670],{"class":5321,"line":6139},[5319,12637,12278],{"class":5329},[5319,12639,5310],{"class":5365},[5319,12641,12283],{"class":5329},[5319,12643,7274],{"class":6075},[5319,12645,6079],{"class":5329},[5319,12647,7279],{"class":6075},[5319,12649,12292],{"class":5329},[5319,12651,7285],{"class":5555},[5319,12653,12297],{"class":5329},[5319,12655,5643],{"class":5606},[5319,12657,12302],{"class":5325},[5319,12659,12305],{"class":5329},[5319,12661,12308],{"class":5325},[5319,12663,12311],{"class":5606},[5319,12665,12314],{"class":5325},[5319,12667,12305],{"class":5329},[5319,12669,8065],{"class":5325},[5319,12671,12672],{"class":5329}," z_outliers], \n",[5319,12674,12675,12677,12679,12681,12683,12685,12687,12689,12691,12693,12695,12697,12699,12701,12703,12705],{"class":5321,"line":6157},[5319,12676,12326],{"class":5555},[5319,12678,5593],{"class":5329},[5319,12680,5377],{"class":5365},[5319,12682,5369],{"class":5329},[5319,12684,5612],{"class":5555},[5319,12686,5593],{"class":5329},[5319,12688,7298],{"class":5365},[5319,12690,5369],{"class":5329},[5319,12692,7312],{"class":5555},[5319,12694,5593],{"class":5329},[5319,12696,5607],{"class":5606},[5319,12698,5369],{"class":5329},[5319,12700,7321],{"class":5555},[5319,12702,5593],{"class":5329},[5319,12704,7326],{"class":5365},[5319,12706,5630],{"class":5329},[5319,12708,12709,12711,12713,12716,12718,12720,12722,12724,12726,12728,12730,12732,12734,12736,12738,12740,12742,12744,12746,12748,12751],{"class":5321,"line":6211},[5319,12710,12278],{"class":5329},[5319,12712,5310],{"class":5365},[5319,12714,12715],{"class":5329},"].axhline(mean + ",[5319,12717,8036],{"class":5365},[5319,12719,9184],{"class":5329},[5319,12721,5622],{"class":5555},[5319,12723,5593],{"class":5329},[5319,12725,5643],{"class":5606},[5319,12727,5369],{"class":5329},[5319,12729,5648],{"class":5555},[5319,12731,5593],{"class":5329},[5319,12733,5653],{"class":5606},[5319,12735,5369],{"class":5329},[5319,12737,5658],{"class":5555},[5319,12739,5593],{"class":5329},[5319,12741,6872],{"class":5365},[5319,12743,5369],{"class":5329},[5319,12745,5667],{"class":5555},[5319,12747,5593],{"class":5329},[5319,12749,12750],{"class":5606},"'±3σ межі'",[5319,12752,5630],{"class":5329},[5319,12754,12755,12757,12759,12762,12764,12766,12768,12770,12772,12774,12776,12778,12780,12782,12784,12786,12788],{"class":5321,"line":6258},[5319,12756,12278],{"class":5329},[5319,12758,5310],{"class":5365},[5319,12760,12761],{"class":5329},"].axhline(mean - ",[5319,12763,8036],{"class":5365},[5319,12765,9184],{"class":5329},[5319,12767,5622],{"class":5555},[5319,12769,5593],{"class":5329},[5319,12771,5643],{"class":5606},[5319,12773,5369],{"class":5329},[5319,12775,5648],{"class":5555},[5319,12777,5593],{"class":5329},[5319,12779,5653],{"class":5606},[5319,12781,5369],{"class":5329},[5319,12783,5658],{"class":5555},[5319,12785,5593],{"class":5329},[5319,12787,6872],{"class":5365},[5319,12789,5630],{"class":5329},[5319,12791,12792,12794,12796,12798,12800,12802,12804,12806,12808,12811,12813,12815,12817,12819],{"class":5321,"line":6307},[5319,12793,12278],{"class":5329},[5319,12795,5310],{"class":5365},[5319,12797,12440],{"class":5329},[5319,12799,5673],{"class":5672},[5319,12801,7031],{"class":5606},[5319,12803,5679],{"class":5672},[5319,12805,12449],{"class":5329},[5319,12807,7715],{"class":5672},[5319,12809,12810],{"class":5606}," — Метод Z-score'",[5319,12812,5369],{"class":5329},[5319,12814,5795],{"class":5555},[5319,12816,5593],{"class":5329},[5319,12818,5800],{"class":5606},[5319,12820,5630],{"class":5329},[5319,12822,12823,12825,12827,12829,12831],{"class":5321,"line":6312},[5319,12824,12278],{"class":5329},[5319,12826,5310],{"class":5365},[5319,12828,12473],{"class":5329},[5319,12830,7187],{"class":5606},[5319,12832,5630],{"class":5329},[5319,12834,12835,12837,12839],{"class":5321,"line":6328},[5319,12836,12278],{"class":5329},[5319,12838,5310],{"class":5365},[5319,12840,12486],{"class":5329},[5319,12842,12843,12845,12847,12849,12851,12853,12855],{"class":5321,"line":6340},[5319,12844,12278],{"class":5329},[5319,12846,5310],{"class":5365},[5319,12848,12495],{"class":5329},[5319,12850,5612],{"class":5555},[5319,12852,5593],{"class":5329},[5319,12854,5821],{"class":5365},[5319,12856,5630],{"class":5329},[5319,12858,12859,12861,12863,12865,12867,12869,12871,12873,12875,12877,12879,12882,12884,12886,12888,12891,12893,12895,12897,12899,12901],{"class":5321,"line":6352},[5319,12860,12278],{"class":5329},[5319,12862,5310],{"class":5365},[5319,12864,12512],{"class":5329},[5319,12866,12515],{"class":5365},[5319,12868,5369],{"class":5329},[5319,12870,12520],{"class":5365},[5319,12872,5369],{"class":5329},[5319,12874,5673],{"class":5672},[5319,12876,12527],{"class":5606},[5319,12878,5679],{"class":5672},[5319,12880,12881],{"class":5329},"z_outliers.sum()",[5319,12883,7715],{"class":5672},[5319,12885,6397],{"class":5606},[5319,12887,5679],{"class":5672},[5319,12889,12890],{"class":5329},"z_outliers.sum()\u002F",[5319,12892,7279],{"class":6075},[5319,12894,7741],{"class":5329},[5319,12896,5505],{"class":5365},[5319,12898,12550],{"class":5672},[5319,12900,12553],{"class":5606},[5319,12902,8096],{"class":5329},[5319,12904,12905,12907,12909,12911,12913,12915,12917,12919,12921,12923,12925,12927],{"class":5321,"line":7565},[5319,12906,12560],{"class":5555},[5319,12908,12563],{"class":5329},[5319,12910,5310],{"class":5365},[5319,12912,12568],{"class":5329},[5319,12914,8405],{"class":5555},[5319,12916,5593],{"class":5329},[5319,12918,12575],{"class":5606},[5319,12920,5369],{"class":5329},[5319,12922,5755],{"class":5555},[5319,12924,5593],{"class":5329},[5319,12926,5847],{"class":5365},[5319,12928,12586],{"class":5329},[5319,12930,12931,12933,12935,12937,12939,12941,12943,12945,12947,12949,12951,12953,12955,12957,12959,12961],{"class":5321,"line":7581},[5319,12932,12591],{"class":5555},[5319,12934,5593],{"class":5329},[5319,12936,8107],{"class":8106},[5319,12938,6079],{"class":5329},[5319,12940,12600],{"class":5555},[5319,12942,5593],{"class":5329},[5319,12944,12605],{"class":5606},[5319,12946,5369],{"class":5329},[5319,12948,8112],{"class":5555},[5319,12950,5593],{"class":5329},[5319,12952,12614],{"class":5606},[5319,12954,5369],{"class":5329},[5319,12956,5612],{"class":5555},[5319,12958,5593],{"class":5329},[5319,12960,5617],{"class":5365},[5319,12962,5570],{"class":5329},[5319,12964,12965],{"class":5321,"line":7604},[5319,12966,5356],{"emptyLinePlaceholder":5355},[5319,12968,12969],{"class":5321,"line":7626},[5319,12970,6058],{"class":5329},[5319,12972,12973],{"class":5321,"line":7648},[5319,12974,6064],{"class":5329},[5319,12976,12977],{"class":5321,"line":7670},[5319,12978,5356],{"emptyLinePlaceholder":5355},[5319,12980,12981,12983,12985,12988,12990,12992],{"class":5321,"line":7692},[5319,12982,6076],{"class":6075},[5319,12984,6079],{"class":5329},[5319,12986,12987],{"class":5606},"\"📊 Висновки порівняння:",[5319,12989,6086],{"class":6085},[5319,12991,6089],{"class":5606},[5319,12993,5630],{"class":5329},[5319,12995,12996,12998,13000,13003],{"class":5321,"line":7753},[5319,12997,6076],{"class":6075},[5319,12999,6079],{"class":5329},[5319,13001,13002],{"class":5606},"\"  IQR (Міжквартильний розмах):\"",[5319,13004,5630],{"class":5329},[5319,13006,13007,13009,13011,13014],{"class":5321,"line":9872},[5319,13008,6076],{"class":6075},[5319,13010,6079],{"class":5329},[5319,13012,13013],{"class":5606},"\"    ✅ Робастний — не залежить від викидів\"",[5319,13015,5630],{"class":5329},[5319,13017,13018,13020,13022,13025],{"class":5321,"line":9887},[5319,13019,6076],{"class":6075},[5319,13021,6079],{"class":5329},[5319,13023,13024],{"class":5606},"\"    ✅ Працює для будь-яких розподілів\"",[5319,13026,5630],{"class":5329},[5319,13028,13030,13032,13034,13037],{"class":5321,"line":13029},64,[5319,13031,6076],{"class":6075},[5319,13033,6079],{"class":5329},[5319,13035,13036],{"class":5606},"\"    ✅ Візуалізація через box plot\"",[5319,13038,5630],{"class":5329},[5319,13040,13042,13044,13046,13049,13051,13053],{"class":5321,"line":13041},65,[5319,13043,6076],{"class":6075},[5319,13045,6079],{"class":5329},[5319,13047,13048],{"class":5606},"\"    ❌ Може виявити більше 'хибних' викидів у довгих хвостах",[5319,13050,6086],{"class":6085},[5319,13052,6089],{"class":5606},[5319,13054,5630],{"class":5329},[5319,13056,13058,13060,13062,13065],{"class":5321,"line":13057},66,[5319,13059,6076],{"class":6075},[5319,13061,6079],{"class":5329},[5319,13063,13064],{"class":5606},"\"  Z-Score (Стандартизація):\"",[5319,13066,5630],{"class":5329},[5319,13068,13070,13072,13074,13077],{"class":5321,"line":13069},67,[5319,13071,6076],{"class":6075},[5319,13073,6079],{"class":5329},[5319,13075,13076],{"class":5606},"\"    ✅ Інтуїтивний (скільки σ від середнього)\"",[5319,13078,5630],{"class":5329},[5319,13080,13082,13084,13086,13089],{"class":5321,"line":13081},68,[5319,13083,6076],{"class":6075},[5319,13085,6079],{"class":5329},[5319,13087,13088],{"class":5606},"\"    ✅ Підходить для нормальних розподілів\"",[5319,13090,5630],{"class":5329},[5319,13092,13094,13096,13098,13101],{"class":5321,"line":13093},69,[5319,13095,6076],{"class":6075},[5319,13097,6079],{"class":5329},[5319,13099,13100],{"class":5606},"\"    ❌ Не робастний — залежить від викидів\"",[5319,13102,5630],{"class":5329},[5319,13104,13106,13108,13110,13113],{"class":5321,"line":13105},70,[5319,13107,6076],{"class":6075},[5319,13109,6079],{"class":5329},[5319,13111,13112],{"class":5606},"\"    ❌ Не підходить для скошених розподілів\"",[5319,13114,5630],{"class":5329},[6363,13116,13117,13124],{"v-slot:output":5274},[5261,13118,13119],{},[6368,13120],{"alt":13121,"className":13122,"src":13123},"Порівняння методів обробки викидів: видалення, вінзоризація, робастні метрики",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F06.png",[5265,13125,13128],{"className":13126,"code":13127,"language":5270},[5268],"📊 Висновки порівняння:\n\n  IQR (Міжквартильний розмах):\n    ✅ Робастний — не залежить від викидів\n    ✅ Працює для будь-яких розподілів\n    ✅ Візуалізація через box plot\n    ❌ Може виявити більше 'хибних' викидів у довгих хвостах\n\n  Z-Score (Стандартизація):\n    ✅ Інтуїтивний (скільки σ від середнього)\n    ✅ Підходить для нормальних розподілів\n    ❌ Не робастний — залежить від викидів\n    ❌ Не підходить для скошених розподілів\n",[5272,13129,13127],{"__ignoreMap":5274},[5253,13131],{},[5256,13133,13135],{"id":13134},"вплив-викидів-на-ml-моделі","Вплив викидів на ML-моделі",[5295,13137,13139],{"kernel":5297,"title":13138},"outliers_impact_on_ml.ipynb",[5300,13140,13141,14075],{"execution-count":5310},[5265,13142,13144],{"className":5313,"code":13143,"language":5315,"meta":5274,"style":5274},"import numpy as np\nimport matplotlib.pyplot as plt\nfrom sklearn.linear_model import LinearRegression\nfrom sklearn.tree import DecisionTreeRegressor\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо дані для регресії\nX_clean = np.linspace(0, 10, 50).reshape(-1, 1)\ny_clean = 2 * X_clean.ravel() + 3 + rng.normal(0, 1, 50)\n\n# Додаємо 3 викиди\nX_outliers = np.array([[2], [5], [8]])\ny_outliers = np.array([20, 22, 24])\n\nX_with_outliers = np.vstack([X_clean, X_outliers])\ny_with_outliers = np.hstack([y_clean, y_outliers])\n\n# Тренуємо моделі\nlr_clean = LinearRegression().fit(X_clean, y_clean)\nlr_outliers = LinearRegression().fit(X_with_outliers, y_with_outliers)\n\ntree_clean = DecisionTreeRegressor(max_depth=3, random_state=42).fit(X_clean, y_clean)\ntree_outliers = DecisionTreeRegressor(max_depth=3, random_state=42).fit(X_with_outliers, y_with_outliers)\n\n# Передбачення\nX_test = np.linspace(0, 10, 100).reshape(-1, 1)\ny_lr_clean = lr_clean.predict(X_test)\ny_lr_outliers = lr_outliers.predict(X_test)\ny_tree_clean = tree_clean.predict(X_test)\ny_tree_outliers = tree_outliers.predict(X_test)\n\n# Візуалізація\nfig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n\n# Лінійна регресія\nax1.scatter(X_clean, y_clean, c='green', alpha=0.6, s=50, edgecolors='black', linewidths=0.5, label='Чисті дані')\nax1.scatter(X_outliers, y_outliers, c='red', s=150, marker='^', edgecolors='black', linewidths=1, label='Викиди')\nax1.plot(X_test, y_lr_clean, 'b-', linewidth=2, label='Модель (без викидів)')\nax1.plot(X_test, y_lr_outliers, 'r--', linewidth=2, label='Модель (з викидами)')\nax1.set_xlabel('X', fontsize=12)\nax1.set_ylabel('Y', fontsize=12)\nax1.set_title('Лінійна регресія: ЧУТЛИВА до викидів', fontweight='bold')\nax1.legend()\nax1.grid(alpha=0.3)\n\n# Дерево рішень\nax2.scatter(X_clean, y_clean, c='green', alpha=0.6, s=50, edgecolors='black', linewidths=0.5, label='Чисті дані')\nax2.scatter(X_outliers, y_outliers, c='red', s=150, marker='^', edgecolors='black', linewidths=1, label='Викиди')\nax2.plot(X_test, y_tree_clean, 'b-', linewidth=2, label='Модель (без викидів)')\nax2.plot(X_test, y_tree_outliers, 'r--', linewidth=2, label='Модель (з викидами)')\nax2.set_xlabel('X', fontsize=12)\nax2.set_ylabel('Y', fontsize=12)\nax2.set_title('Дерево рішень: РОБАСТНЕ до викидів', fontweight='bold')\nax2.legend()\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"📊 Вплив викидів на моделі:\\n\")\nprint(\"  Лінійна регресія:\")\nprint(\"    ❌ Викиди драматично змінили нахил лінії\")\nprint(\"    ❌ Модель намагається 'підлаштуватися' під викиди\")\nprint(\"    ❌ Погіршилася якість передбачень для основної маси даних\\n\")\nprint(\"  Дерево рішень:\")\nprint(\"    ✅ Модель майже не змінилася\")\nprint(\"    ✅ Викиди потрапили в окремі листи дерева\")\nprint(\"    ✅ Не впливають на передбачення для основної маси даних\")\n",[5272,13145,13146,13156,13166,13178,13190,13194,13206,13210,13215,13241,13268,13272,13277,13296,13315,13319,13324,13329,13333,13338,13343,13348,13352,13376,13398,13402,13407,13432,13437,13442,13447,13452,13456,13460,13484,13488,13493,13547,13601,13628,13655,13672,13689,13706,13710,13722,13726,13731,13784,13837,13862,13887,13903,13919,13936,13940,13952,13956,13960,13964,13968,13983,13994,14005,14016,14031,14042,14053,14064],{"__ignoreMap":5274},[5319,13147,13148,13150,13152,13154],{"class":5321,"line":5322},[5319,13149,5326],{"class":5325},[5319,13151,5330],{"class":5329},[5319,13153,5333],{"class":5325},[5319,13155,5336],{"class":5329},[5319,13157,13158,13160,13162,13164],{"class":5321,"line":5339},[5319,13159,5326],{"class":5325},[5319,13161,5344],{"class":5329},[5319,13163,5333],{"class":5325},[5319,13165,5349],{"class":5329},[5319,13167,13168,13170,13173,13175],{"class":5321,"line":5352},[5319,13169,10008],{"class":5325},[5319,13171,13172],{"class":5329}," sklearn.linear_model ",[5319,13174,5326],{"class":5325},[5319,13176,13177],{"class":5329}," LinearRegression\n",[5319,13179,13180,13182,13185,13187],{"class":5321,"line":5359},[5319,13181,10008],{"class":5325},[5319,13183,13184],{"class":5329}," sklearn.tree ",[5319,13186,5326],{"class":5325},[5319,13188,13189],{"class":5329}," DecisionTreeRegressor\n",[5319,13191,13192],{"class":5321,"line":5458},[5319,13193,5356],{"emptyLinePlaceholder":5355},[5319,13195,13196,13198,13200,13202,13204],{"class":5321,"line":5463},[5319,13197,6740],{"class":5329},[5319,13199,6743],{"class":5555},[5319,13201,5593],{"class":5329},[5319,13203,6748],{"class":5365},[5319,13205,5630],{"class":5329},[5319,13207,13208],{"class":5321,"line":5470},[5319,13209,5356],{"emptyLinePlaceholder":5355},[5319,13211,13212],{"class":5321,"line":5476},[5319,13213,13214],{"class":5466},"# Генеруємо дані для регресії\n",[5319,13216,13217,13220,13222,13224,13226,13228,13230,13233,13235,13237,13239],{"class":5321,"line":5482},[5319,13218,13219],{"class":5329},"X_clean = np.linspace(",[5319,13221,7964],{"class":5365},[5319,13223,5369],{"class":5329},[5319,13225,5847],{"class":5365},[5319,13227,5369],{"class":5329},[5319,13229,5377],{"class":5365},[5319,13231,13232],{"class":5329},").reshape(-",[5319,13234,5310],{"class":5365},[5319,13236,5369],{"class":5329},[5319,13238,5310],{"class":5365},[5319,13240,5630],{"class":5329},[5319,13242,13243,13246,13248,13251,13253,13256,13258,13260,13262,13264,13266],{"class":5321,"line":5488},[5319,13244,13245],{"class":5329},"y_clean = ",[5319,13247,5550],{"class":5365},[5319,13249,13250],{"class":5329}," * X_clean.ravel() + ",[5319,13252,8036],{"class":5365},[5319,13254,13255],{"class":5329}," + rng.normal(",[5319,13257,7964],{"class":5365},[5319,13259,5369],{"class":5329},[5319,13261,5310],{"class":5365},[5319,13263,5369],{"class":5329},[5319,13265,5377],{"class":5365},[5319,13267,5630],{"class":5329},[5319,13269,13270],{"class":5321,"line":5493},[5319,13271,5356],{"emptyLinePlaceholder":5355},[5319,13273,13274],{"class":5321,"line":5499},[5319,13275,13276],{"class":5466},"# Додаємо 3 викиди\n",[5319,13278,13279,13282,13284,13287,13289,13291,13293],{"class":5321,"line":5511},[5319,13280,13281],{"class":5329},"X_outliers = np.array([[",[5319,13283,5550],{"class":5365},[5319,13285,13286],{"class":5329},"], [",[5319,13288,5567],{"class":5365},[5319,13290,13286],{"class":5329},[5319,13292,8245],{"class":5365},[5319,13294,13295],{"class":5329},"]])\n",[5319,13297,13298,13301,13303,13305,13308,13310,13313],{"class":5321,"line":5517},[5319,13299,13300],{"class":5329},"y_outliers = np.array([",[5319,13302,5596],{"class":5365},[5319,13304,5369],{"class":5329},[5319,13306,13307],{"class":5365},"22",[5319,13309,5369],{"class":5329},[5319,13311,13312],{"class":5365},"24",[5319,13314,5455],{"class":5329},[5319,13316,13317],{"class":5321,"line":5523},[5319,13318,5356],{"emptyLinePlaceholder":5355},[5319,13320,13321],{"class":5321,"line":5529},[5319,13322,13323],{"class":5329},"X_with_outliers = np.vstack([X_clean, X_outliers])\n",[5319,13325,13326],{"class":5321,"line":5534},[5319,13327,13328],{"class":5329},"y_with_outliers = np.hstack([y_clean, y_outliers])\n",[5319,13330,13331],{"class":5321,"line":5540},[5319,13332,5356],{"emptyLinePlaceholder":5355},[5319,13334,13335],{"class":5321,"line":5573},[5319,13336,13337],{"class":5466},"# Тренуємо моделі\n",[5319,13339,13340],{"class":5321,"line":5578},[5319,13341,13342],{"class":5329},"lr_clean = LinearRegression().fit(X_clean, y_clean)\n",[5319,13344,13345],{"class":5321,"line":5584},[5319,13346,13347],{"class":5329},"lr_outliers = LinearRegression().fit(X_with_outliers, y_with_outliers)\n",[5319,13349,13350],{"class":5321,"line":5633},[5319,13351,5356],{"emptyLinePlaceholder":5355},[5319,13353,13354,13357,13360,13362,13364,13366,13369,13371,13373],{"class":5321,"line":5693},[5319,13355,13356],{"class":5329},"tree_clean = DecisionTreeRegressor(",[5319,13358,13359],{"class":5555},"max_depth",[5319,13361,5593],{"class":5329},[5319,13363,8036],{"class":5365},[5319,13365,5369],{"class":5329},[5319,13367,13368],{"class":5555},"random_state",[5319,13370,5593],{"class":5329},[5319,13372,6748],{"class":5365},[5319,13374,13375],{"class":5329},").fit(X_clean, y_clean)\n",[5319,13377,13378,13381,13383,13385,13387,13389,13391,13393,13395],{"class":5321,"line":5744},[5319,13379,13380],{"class":5329},"tree_outliers = DecisionTreeRegressor(",[5319,13382,13359],{"class":5555},[5319,13384,5593],{"class":5329},[5319,13386,8036],{"class":5365},[5319,13388,5369],{"class":5329},[5319,13390,13368],{"class":5555},[5319,13392,5593],{"class":5329},[5319,13394,6748],{"class":5365},[5319,13396,13397],{"class":5329},").fit(X_with_outliers, y_with_outliers)\n",[5319,13399,13400],{"class":5321,"line":5765},[5319,13401,5356],{"emptyLinePlaceholder":5355},[5319,13403,13404],{"class":5321,"line":5784},[5319,13405,13406],{"class":5466},"# Передбачення\n",[5319,13408,13409,13412,13414,13416,13418,13420,13422,13424,13426,13428,13430],{"class":5321,"line":5805},[5319,13410,13411],{"class":5329},"X_test = np.linspace(",[5319,13413,7964],{"class":5365},[5319,13415,5369],{"class":5329},[5319,13417,5847],{"class":5365},[5319,13419,5369],{"class":5329},[5319,13421,5505],{"class":5365},[5319,13423,13232],{"class":5329},[5319,13425,5310],{"class":5365},[5319,13427,5369],{"class":5329},[5319,13429,5310],{"class":5365},[5319,13431,5630],{"class":5329},[5319,13433,13434],{"class":5321,"line":5811},[5319,13435,13436],{"class":5329},"y_lr_clean = lr_clean.predict(X_test)\n",[5319,13438,13439],{"class":5321,"line":5826},[5319,13440,13441],{"class":5329},"y_lr_outliers = lr_outliers.predict(X_test)\n",[5319,13443,13444],{"class":5321,"line":5831},[5319,13445,13446],{"class":5329},"y_tree_clean = tree_clean.predict(X_test)\n",[5319,13448,13449],{"class":5321,"line":5837},[5319,13450,13451],{"class":5329},"y_tree_outliers = tree_outliers.predict(X_test)\n",[5319,13453,13454],{"class":5321,"line":5877},[5319,13455,5356],{"emptyLinePlaceholder":5355},[5319,13457,13458],{"class":5321,"line":5926},[5319,13459,5537],{"class":5466},[5319,13461,13462,13464,13466,13468,13470,13472,13474,13476,13478,13480,13482],{"class":5321,"line":5975},[5319,13463,5543],{"class":5329},[5319,13465,5310],{"class":5365},[5319,13467,5369],{"class":5329},[5319,13469,5550],{"class":5365},[5319,13471,5369],{"class":5329},[5319,13473,5556],{"class":5555},[5319,13475,5559],{"class":5329},[5319,13477,5562],{"class":5365},[5319,13479,5369],{"class":5329},[5319,13481,5567],{"class":5365},[5319,13483,5570],{"class":5329},[5319,13485,13486],{"class":5321,"line":5993},[5319,13487,5356],{"emptyLinePlaceholder":5355},[5319,13489,13490],{"class":5321,"line":6011},[5319,13491,13492],{"class":5466},"# Лінійна регресія\n",[5319,13494,13495,13498,13500,13502,13504,13506,13508,13510,13512,13514,13516,13518,13520,13522,13524,13526,13528,13530,13532,13534,13536,13538,13540,13542,13545],{"class":5321,"line":6030},[5319,13496,13497],{"class":5329},"ax1.scatter(X_clean, y_clean, ",[5319,13499,7285],{"class":5555},[5319,13501,5593],{"class":5329},[5319,13503,5703],{"class":5606},[5319,13505,5369],{"class":5329},[5319,13507,5612],{"class":5555},[5319,13509,5593],{"class":5329},[5319,13511,7298],{"class":5365},[5319,13513,5369],{"class":5329},[5319,13515,7303],{"class":5555},[5319,13517,5593],{"class":5329},[5319,13519,5377],{"class":5365},[5319,13521,5369],{"class":5329},[5319,13523,7312],{"class":5555},[5319,13525,5593],{"class":5329},[5319,13527,5607],{"class":5606},[5319,13529,5369],{"class":5329},[5319,13531,7321],{"class":5555},[5319,13533,5593],{"class":5329},[5319,13535,7326],{"class":5365},[5319,13537,5369],{"class":5329},[5319,13539,5667],{"class":5555},[5319,13541,5593],{"class":5329},[5319,13543,13544],{"class":5606},"'Чисті дані'",[5319,13546,5630],{"class":5329},[5319,13548,13549,13552,13554,13556,13558,13560,13562,13564,13567,13569,13571,13573,13575,13577,13579,13581,13583,13585,13587,13589,13591,13593,13595,13597,13599],{"class":5321,"line":6036},[5319,13550,13551],{"class":5329},"ax1.scatter(X_outliers, y_outliers, ",[5319,13553,7285],{"class":5555},[5319,13555,5593],{"class":5329},[5319,13557,5643],{"class":5606},[5319,13559,5369],{"class":5329},[5319,13561,7303],{"class":5555},[5319,13563,5593],{"class":5329},[5319,13565,13566],{"class":5365},"150",[5319,13568,5369],{"class":5329},[5319,13570,7399],{"class":5555},[5319,13572,5593],{"class":5329},[5319,13574,7404],{"class":5606},[5319,13576,5369],{"class":5329},[5319,13578,7312],{"class":5555},[5319,13580,5593],{"class":5329},[5319,13582,5607],{"class":5606},[5319,13584,5369],{"class":5329},[5319,13586,7321],{"class":5555},[5319,13588,5593],{"class":5329},[5319,13590,5310],{"class":5365},[5319,13592,5369],{"class":5329},[5319,13594,5667],{"class":5555},[5319,13596,5593],{"class":5329},[5319,13598,7394],{"class":5606},[5319,13600,5630],{"class":5329},[5319,13602,13603,13606,13609,13611,13613,13615,13617,13619,13621,13623,13626],{"class":5321,"line":6050},[5319,13604,13605],{"class":5329},"ax1.plot(X_test, y_lr_clean, ",[5319,13607,13608],{"class":5606},"'b-'",[5319,13610,5369],{"class":5329},[5319,13612,5658],{"class":5555},[5319,13614,5593],{"class":5329},[5319,13616,5550],{"class":5365},[5319,13618,5369],{"class":5329},[5319,13620,5667],{"class":5555},[5319,13622,5593],{"class":5329},[5319,13624,13625],{"class":5606},"'Модель (без викидів)'",[5319,13627,5630],{"class":5329},[5319,13629,13630,13633,13636,13638,13640,13642,13644,13646,13648,13650,13653],{"class":5321,"line":6055},[5319,13631,13632],{"class":5329},"ax1.plot(X_test, y_lr_outliers, ",[5319,13634,13635],{"class":5606},"'r--'",[5319,13637,5369],{"class":5329},[5319,13639,5658],{"class":5555},[5319,13641,5593],{"class":5329},[5319,13643,5550],{"class":5365},[5319,13645,5369],{"class":5329},[5319,13647,5667],{"class":5555},[5319,13649,5593],{"class":5329},[5319,13651,13652],{"class":5606},"'Модель (з викидами)'",[5319,13654,5630],{"class":5329},[5319,13656,13657,13659,13662,13664,13666,13668,13670],{"class":5321,"line":6061},[5319,13658,5747],{"class":5329},[5319,13660,13661],{"class":5606},"'X'",[5319,13663,5369],{"class":5329},[5319,13665,5755],{"class":5555},[5319,13667,5593],{"class":5329},[5319,13669,5760],{"class":5365},[5319,13671,5630],{"class":5329},[5319,13673,13674,13676,13679,13681,13683,13685,13687],{"class":5321,"line":6067},[5319,13675,5768],{"class":5329},[5319,13677,13678],{"class":5606},"'Y'",[5319,13680,5369],{"class":5329},[5319,13682,5755],{"class":5555},[5319,13684,5593],{"class":5329},[5319,13686,5760],{"class":5365},[5319,13688,5630],{"class":5329},[5319,13690,13691,13693,13696,13698,13700,13702,13704],{"class":5321,"line":6072},[5319,13692,5787],{"class":5329},[5319,13694,13695],{"class":5606},"'Лінійна регресія: ЧУТЛИВА до викидів'",[5319,13697,5369],{"class":5329},[5319,13699,5795],{"class":5555},[5319,13701,5593],{"class":5329},[5319,13703,5800],{"class":5606},[5319,13705,5630],{"class":5329},[5319,13707,13708],{"class":5321,"line":6094},[5319,13709,5808],{"class":5329},[5319,13711,13712,13714,13716,13718,13720],{"class":5321,"line":6139},[5319,13713,5814],{"class":5329},[5319,13715,5612],{"class":5555},[5319,13717,5593],{"class":5329},[5319,13719,5821],{"class":5365},[5319,13721,5630],{"class":5329},[5319,13723,13724],{"class":5321,"line":6157},[5319,13725,5356],{"emptyLinePlaceholder":5355},[5319,13727,13728],{"class":5321,"line":6211},[5319,13729,13730],{"class":5466},"# Дерево рішень\n",[5319,13732,13733,13736,13738,13740,13742,13744,13746,13748,13750,13752,13754,13756,13758,13760,13762,13764,13766,13768,13770,13772,13774,13776,13778,13780,13782],{"class":5321,"line":6258},[5319,13734,13735],{"class":5329},"ax2.scatter(X_clean, y_clean, ",[5319,13737,7285],{"class":5555},[5319,13739,5593],{"class":5329},[5319,13741,5703],{"class":5606},[5319,13743,5369],{"class":5329},[5319,13745,5612],{"class":5555},[5319,13747,5593],{"class":5329},[5319,13749,7298],{"class":5365},[5319,13751,5369],{"class":5329},[5319,13753,7303],{"class":5555},[5319,13755,5593],{"class":5329},[5319,13757,5377],{"class":5365},[5319,13759,5369],{"class":5329},[5319,13761,7312],{"class":5555},[5319,13763,5593],{"class":5329},[5319,13765,5607],{"class":5606},[5319,13767,5369],{"class":5329},[5319,13769,7321],{"class":5555},[5319,13771,5593],{"class":5329},[5319,13773,7326],{"class":5365},[5319,13775,5369],{"class":5329},[5319,13777,5667],{"class":5555},[5319,13779,5593],{"class":5329},[5319,13781,13544],{"class":5606},[5319,13783,5630],{"class":5329},[5319,13785,13786,13789,13791,13793,13795,13797,13799,13801,13803,13805,13807,13809,13811,13813,13815,13817,13819,13821,13823,13825,13827,13829,13831,13833,13835],{"class":5321,"line":6307},[5319,13787,13788],{"class":5329},"ax2.scatter(X_outliers, y_outliers, ",[5319,13790,7285],{"class":5555},[5319,13792,5593],{"class":5329},[5319,13794,5643],{"class":5606},[5319,13796,5369],{"class":5329},[5319,13798,7303],{"class":5555},[5319,13800,5593],{"class":5329},[5319,13802,13566],{"class":5365},[5319,13804,5369],{"class":5329},[5319,13806,7399],{"class":5555},[5319,13808,5593],{"class":5329},[5319,13810,7404],{"class":5606},[5319,13812,5369],{"class":5329},[5319,13814,7312],{"class":5555},[5319,13816,5593],{"class":5329},[5319,13818,5607],{"class":5606},[5319,13820,5369],{"class":5329},[5319,13822,7321],{"class":5555},[5319,13824,5593],{"class":5329},[5319,13826,5310],{"class":5365},[5319,13828,5369],{"class":5329},[5319,13830,5667],{"class":5555},[5319,13832,5593],{"class":5329},[5319,13834,7394],{"class":5606},[5319,13836,5630],{"class":5329},[5319,13838,13839,13842,13844,13846,13848,13850,13852,13854,13856,13858,13860],{"class":5321,"line":6312},[5319,13840,13841],{"class":5329},"ax2.plot(X_test, y_tree_clean, ",[5319,13843,13608],{"class":5606},[5319,13845,5369],{"class":5329},[5319,13847,5658],{"class":5555},[5319,13849,5593],{"class":5329},[5319,13851,5550],{"class":5365},[5319,13853,5369],{"class":5329},[5319,13855,5667],{"class":5555},[5319,13857,5593],{"class":5329},[5319,13859,13625],{"class":5606},[5319,13861,5630],{"class":5329},[5319,13863,13864,13867,13869,13871,13873,13875,13877,13879,13881,13883,13885],{"class":5321,"line":6328},[5319,13865,13866],{"class":5329},"ax2.plot(X_test, y_tree_outliers, ",[5319,13868,13635],{"class":5606},[5319,13870,5369],{"class":5329},[5319,13872,5658],{"class":5555},[5319,13874,5593],{"class":5329},[5319,13876,5550],{"class":5365},[5319,13878,5369],{"class":5329},[5319,13880,5667],{"class":5555},[5319,13882,5593],{"class":5329},[5319,13884,13652],{"class":5606},[5319,13886,5630],{"class":5329},[5319,13888,13889,13891,13893,13895,13897,13899,13901],{"class":5321,"line":6340},[5319,13890,5978],{"class":5329},[5319,13892,13661],{"class":5606},[5319,13894,5369],{"class":5329},[5319,13896,5755],{"class":5555},[5319,13898,5593],{"class":5329},[5319,13900,5760],{"class":5365},[5319,13902,5630],{"class":5329},[5319,13904,13905,13907,13909,13911,13913,13915,13917],{"class":5321,"line":6352},[5319,13906,5996],{"class":5329},[5319,13908,13678],{"class":5606},[5319,13910,5369],{"class":5329},[5319,13912,5755],{"class":5555},[5319,13914,5593],{"class":5329},[5319,13916,5760],{"class":5365},[5319,13918,5630],{"class":5329},[5319,13920,13921,13923,13926,13928,13930,13932,13934],{"class":5321,"line":7565},[5319,13922,6014],{"class":5329},[5319,13924,13925],{"class":5606},"'Дерево рішень: РОБАСТНЕ до викидів'",[5319,13927,5369],{"class":5329},[5319,13929,5795],{"class":5555},[5319,13931,5593],{"class":5329},[5319,13933,5800],{"class":5606},[5319,13935,5630],{"class":5329},[5319,13937,13938],{"class":5321,"line":7581},[5319,13939,6033],{"class":5329},[5319,13941,13942,13944,13946,13948,13950],{"class":5321,"line":7604},[5319,13943,6039],{"class":5329},[5319,13945,5612],{"class":5555},[5319,13947,5593],{"class":5329},[5319,13949,5821],{"class":5365},[5319,13951,5630],{"class":5329},[5319,13953,13954],{"class":5321,"line":7626},[5319,13955,5356],{"emptyLinePlaceholder":5355},[5319,13957,13958],{"class":5321,"line":7648},[5319,13959,6058],{"class":5329},[5319,13961,13962],{"class":5321,"line":7670},[5319,13963,6064],{"class":5329},[5319,13965,13966],{"class":5321,"line":7692},[5319,13967,5356],{"emptyLinePlaceholder":5355},[5319,13969,13970,13972,13974,13977,13979,13981],{"class":5321,"line":7753},[5319,13971,6076],{"class":6075},[5319,13973,6079],{"class":5329},[5319,13975,13976],{"class":5606},"\"📊 Вплив викидів на моделі:",[5319,13978,6086],{"class":6085},[5319,13980,6089],{"class":5606},[5319,13982,5630],{"class":5329},[5319,13984,13985,13987,13989,13992],{"class":5321,"line":9872},[5319,13986,6076],{"class":6075},[5319,13988,6079],{"class":5329},[5319,13990,13991],{"class":5606},"\"  Лінійна регресія:\"",[5319,13993,5630],{"class":5329},[5319,13995,13996,13998,14000,14003],{"class":5321,"line":9887},[5319,13997,6076],{"class":6075},[5319,13999,6079],{"class":5329},[5319,14001,14002],{"class":5606},"\"    ❌ Викиди драматично змінили нахил лінії\"",[5319,14004,5630],{"class":5329},[5319,14006,14007,14009,14011,14014],{"class":5321,"line":13029},[5319,14008,6076],{"class":6075},[5319,14010,6079],{"class":5329},[5319,14012,14013],{"class":5606},"\"    ❌ Модель намагається 'підлаштуватися' під викиди\"",[5319,14015,5630],{"class":5329},[5319,14017,14018,14020,14022,14025,14027,14029],{"class":5321,"line":13041},[5319,14019,6076],{"class":6075},[5319,14021,6079],{"class":5329},[5319,14023,14024],{"class":5606},"\"    ❌ Погіршилася якість передбачень для основної маси даних",[5319,14026,6086],{"class":6085},[5319,14028,6089],{"class":5606},[5319,14030,5630],{"class":5329},[5319,14032,14033,14035,14037,14040],{"class":5321,"line":13057},[5319,14034,6076],{"class":6075},[5319,14036,6079],{"class":5329},[5319,14038,14039],{"class":5606},"\"  Дерево рішень:\"",[5319,14041,5630],{"class":5329},[5319,14043,14044,14046,14048,14051],{"class":5321,"line":13069},[5319,14045,6076],{"class":6075},[5319,14047,6079],{"class":5329},[5319,14049,14050],{"class":5606},"\"    ✅ Модель майже не змінилася\"",[5319,14052,5630],{"class":5329},[5319,14054,14055,14057,14059,14062],{"class":5321,"line":13081},[5319,14056,6076],{"class":6075},[5319,14058,6079],{"class":5329},[5319,14060,14061],{"class":5606},"\"    ✅ Викиди потрапили в окремі листи дерева\"",[5319,14063,5630],{"class":5329},[5319,14065,14066,14068,14070,14073],{"class":5321,"line":13093},[5319,14067,6076],{"class":6075},[5319,14069,6079],{"class":5329},[5319,14071,14072],{"class":5606},"\"    ✅ Не впливають на передбачення для основної маси даних\"",[5319,14074,5630],{"class":5329},[6363,14076,14077,14084],{"v-slot:output":5274},[5261,14078,14079],{},[6368,14080],{"alt":14081,"className":14082,"src":14083},"Стійкість моделей до викидів: лінійна регресія проти дерева рішень",[6372],"\u002Fimages\u002Fai-python\u002Fstatistics-basics\u002Foutliers\u002F07.png",[5265,14085,14088],{"className":14086,"code":14087,"language":5270},[5268],"📊 Вплив викидів на моделі:\n\n  Лінійна регресія:\n    ❌ Викиди драматично змінили нахил лінії\n    ❌ Модель намагається 'підлаштуватися' під викиди\n    ❌ Погіршилася якість передбачень для основної маси даних\n\n  Дерево рішень:\n    ✅ Модель майже не змінилася\n    ✅ Викиди потрапили в окремі листи дерева\n    ✅ Не впливають на передбачення для основної маси даних\n",[5272,14089,14087],{"__ignoreMap":5274},[5253,14091],{},[5256,14093,14095],{"id":14094},"практичні-завдання","Практичні завдання",[5304,14097,14099],{"id":14098},"рівень-1-базові-вправи","Рівень 1: Базові вправи",[14101,14102,14103,14130,14155],"accordion",{},[14104,14105,14107,14113,14116],"accordion-item",{"icon":3063,"label":14106},"Завдання 1.1: Виявлення викидів методом IQR",[5261,14108,14109,14110],{},"Дано масив: ",[5272,14111,14112],{},"[12, 15, 14, 18, 16, 20, 22, 100, 17, 19, 13, 21, 5, 18]",[5261,14114,14115],{},"Виконайте:",[6412,14117,14118,14121,14124,14127],{},[5201,14119,14120],{},"Обчисліть Q1, Q3, IQR вручну",[5201,14122,14123],{},"Визначте межі викидів",[5201,14125,14126],{},"Знайдіть всі викиди",[5201,14128,14129],{},"Побудуйте box plot",[14104,14131,14133,14139,14141],{"icon":1348,"label":14132},"Завдання 1.2: Виявлення викидів методом Z-score",[5261,14134,14135,14136,6609],{},"Згенеруйте 100 значень з N(50, 10²). Додайте 3 викиди: ",[5319,14137,14138],{},"10, 15, 95",[5261,14140,14115],{},[6412,14142,14143,14146,14149,14152],{},[5201,14144,14145],{},"Обчисліть Z-оцінки для всіх значень",[5201,14147,14148],{},"Знайдіть викиди з |z| > 3",[5201,14150,14151],{},"Побудуйте графік з позначенням викидів",[5201,14153,14154],{},"Порівняйте з результатом методу IQR",[14104,14156,14159,14162,14173],{"icon":14157,"label":14158},"i-lucide-git-compare","Завдання 1.3: Порівняння стратегій обробки",[5261,14160,14161],{},"Дано датасет з викидами. Застосуйте три стратегії:",[6412,14163,14164,14167,14170],{},[5201,14165,14166],{},"Видалення",[5201,14168,14169],{},"Обрізання (capping)",[5201,14171,14172],{},"Залишити як є",[5261,14174,14175],{},"Порівняйте середнє та стандартне відхилення для кожного варіанту.",[5304,14177,14179],{"id":14178},"рівень-2-алгоритмічні-задачі","Рівень 2: Алгоритмічні задачі",[14101,14181,14182,14210,14241],{},[14104,14183,14186,14193,14207],{"icon":14184,"label":14185},"i-lucide-scan","Завдання 2.1: Універсальний детектор викидів",[5261,14187,14188,14189,14192],{},"Напишіть функцію ",[5272,14190,14191],{},"detect_outliers(data, method='iqr', threshold=1.5)",", яка:",[6412,14194,14195,14198,14201,14204],{},[5201,14196,14197],{},"Підтримує два методи: 'iqr' та 'zscore'",[5201,14199,14200],{},"Для IQR: threshold = множник для IQR (за замовчуванням 1.5)",[5201,14202,14203],{},"Для Z-score: threshold = поріг |z| (за замовчуванням 3)",[5201,14205,14206],{},"Повертає маску викидів (булевий масив) та індекси викидів",[5261,14208,14209],{},"Протестуйте на різних датасетах.",[14104,14211,14214,14220],{"icon":14212,"label":14213},"i-lucide-bar-chart","Завдання 2.2: Візуалізатор викидів",[5261,14215,14216,14217,14192],{},"Створіть функцію ",[5272,14218,14219],{},"visualize_outliers(data, method='iqr')",[6412,14221,14222,14225,14238],{},[5201,14223,14224],{},"Виявляє викиди обраним методом",[5201,14226,14227,14228],{},"Будує три графіки:\n",[5198,14229,14230,14233,14236],{},[5201,14231,14232],{},"Гістограма з межами викидів",[5201,14234,14235],{},"Scatter plot (індекс vs значення) з кольоровим кодуванням",[5201,14237,5244],{},[5201,14239,14240],{},"Виводить статистику: кількість викидів, межі, змінені значення",[14104,14242,14245,14250],{"icon":14243,"label":14244},"i-lucide-table","Завдання 2.3: Обробка викидів у датафреймі",[5261,14246,14216,14247,14192],{},[5272,14248,14249],{},"handle_outliers_dataframe(df, strategy='remove', method='iqr')",[6412,14251,14252,14259,14262],{},[5201,14253,14254,14255,14258],{},"Обробляє викиди для ",[5224,14256,14257],{},"всіх числових стовпців"," у pandas DataFrame",[5201,14260,14261],{},"Підтримує стратегії: 'remove', 'cap', 'keep'",[5201,14263,14264],{},"Виводить звіт: скільки викидів у кожному стовпці, скільки рядків видалено",[5304,14266,14268],{"id":14267},"рівень-3-проєктні-завдання","Рівень 3: Проєктні завдання",[14101,14270,14271,14312,14372],{},[14104,14272,14275,14278],{"icon":14273,"label":14274},"i-lucide-brain-circuit","Завдання 3.1: Аналізатор впливу викидів на моделі",[5261,14276,14277],{},"Створіть експеримент:",[6412,14279,14280,14283,14286,14303,14306,14309],{},[5201,14281,14282],{},"Згенеруйте дані для регресії (y = 3x + 5 + шум)",[5201,14284,14285],{},"Додайте 5 викидів",[5201,14287,14288,14289],{},"Натренуйте 4 моделі на чистих даних та даних з викидами:\n",[5198,14290,14291,14294,14297,14300],{},[5201,14292,14293],{},"Лінійна регресія",[5201,14295,14296],{},"KNN",[5201,14298,14299],{},"Дерево рішень",[5201,14301,14302],{},"Random Forest",[5201,14304,14305],{},"Обчисліть MSE для кожної моделі (чисті vs з викидами)",[5201,14307,14308],{},"Побудуйте bar chart порівняння",[5201,14310,14311],{},"Висновок: які моделі найчутливіші, які найробастніші?",[14104,14313,14316,14323,14369],{"icon":14314,"label":14315},"i-lucide-workflow","Завдання 3.2: Pipeline обробки викидів",[5261,14317,14318,14319,14322],{},"Створіть клас ",[5272,14320,14321],{},"OutlierPipeline",", який:",[6412,14324,14325,14328],{},[5201,14326,14327],{},"Зберігає історію всіх операцій (log)",[5201,14329,14330,14331],{},"Методи:\n",[5198,14332,14333,14339,14345,14351,14357,14363],{},[5201,14334,14335,14338],{},[5272,14336,14337],{},"detect(method='iqr', threshold=1.5)"," — виявлення",[5201,14340,14341,14344],{},[5272,14342,14343],{},"remove()"," — видалення викидів",[5201,14346,14347,14350],{},[5272,14348,14349],{},"cap()"," — обрізання",[5201,14352,14353,14356],{},[5272,14354,14355],{},"transform(func)"," — застосування трансформації (log, sqrt)",[5201,14358,14359,14362],{},[5272,14360,14361],{},"report()"," — звіт: скільки викидів, які стратегії застосовані",[5201,14364,14365,14368],{},[5272,14366,14367],{},"undo()"," — відміна останньої операції",[5261,14370,14371],{},"Протестуйте на реальному датасеті.",[14104,14373,14375,14378,14381],{"icon":2865,"label":14374},"Завдання 3.3: Дослідження реального датасету",[5261,14376,14377],{},"Завантажте датасет (наприклад, Boston Housing, Wine Quality).",[5261,14379,14380],{},"Виконайте повний аналіз викидів:",[6412,14382,14383,14396,14399,14402,14405,14408],{},[5201,14384,14385,14386],{},"Для кожного числового стовпця:\n",[5198,14387,14388,14390,14393],{},[5201,14389,14129],{},[5201,14391,14392],{},"Виявіть викиди методом IQR та Z-score",[5201,14394,14395],{},"Порівняйте результати обох методів",[5201,14397,14398],{},"Створіть звіт: топ-3 стовпці з найбільшою кількістю викидів",[5201,14400,14401],{},"Візуалізуйте приклади викидів (scatter plots)",[5201,14403,14404],{},"Обробіть викиди (видалення або обрізання)",[5201,14406,14407],{},"Натренуйте модель до та після обробки",[5201,14409,14410],{},"Висновок: чи покращилася якість моделі?",[5256,14412,14414],{"id":14413},"часті-запитання-студентів-faq","Часті запитання студентів (FAQ)",[14101,14416,14417,14477,14522],{},[14104,14418,14420,14423,14459],{"icon":6479,"label":14419},"Коли видалення викидів є грубою інженерною помилкою, що руйнує систему?",[5261,14421,14422],{},"Автоматичне видалення викидів («drop outliers») без аналізу контексту — одна з найнебезпечніших практик у Data Science та інженерії:",[6412,14424,14425,14439,14449],{},[5201,14426,14427,6671,14430],{},[5224,14428,14429],{},"Завдання детекції аномалій (Anomaly Detection)",[5198,14431,14432],{},[5201,14433,14434,14435,14438],{},"Якщо мета проєкту — виявлення шахрайства в транзакціях (Antifraud), запобігання кібератакам (DDoS\u002FIntrusion Detection) або прогнозування поломок обладнання (Predictive Maintenance), самі аномалії і є ",[5224,14436,14437],{},"цільовими рідкісними подіями",". Видаливши їх із тренувальної або тестової вибірки, ви залишите модель без знань про те, як виглядає реальна загроза.",[5201,14440,14441,6671,14444],{},[5224,14442,14443],{},"Скорочення природної варіативності реального світу",[5198,14445,14446],{},[5201,14447,14448],{},"Якщо в моделі ціноутворення нерухомості видалити всі дорогі особняки, модель чудово працюватиме на квартирах середнього класу, але видасть катастрофічну помилку при спробі оцінити пентхаус у продакшені.",[5201,14450,14451,6671,14454],{},[5224,14452,14453],{},"Зменшення розміру вибірки",[5198,14455,14456],{},[5201,14457,14458],{},"Якщо датасет містить 100 ознак і в кожній ознаці відсікти по $2%$ «викидів», за умов незалежності можна випадково видалити понад $80%$ усього датасету!",[5261,14460,14461,14464,14465,14468,14469,14472,14473,14476],{},[5224,14462,14463],{},"Правило",": Видаляти рядок дозволено лише тоді, коли викид є ",[5224,14466,14467],{},"доведеним технічним артефактом збору даних"," (наприклад, від'ємний вік користувача, незрозумілий рядок ",[5272,14470,14471],{},"null"," або помилка датчика ",[5272,14474,14475],{},"-999.0",").",[14104,14478,14481,14484,14506,14509],{"icon":14479,"label":14480},"i-lucide-help-circle","Чому Z-score дає збій на скошених розподілах (наприклад, латентність або зарплати)?",[5261,14482,14483],{},"Метод Z-score базується на двох фундаментальних величинах: середньому арифметичному $\\mu$ та стандартному відхиленні $\\sigma$.",[5198,14485,14486,14493,14496],{},[5201,14487,14488,14489,14492],{},"Обидва ці параметри ",[5224,14490,14491],{},"не є робастними"," (вони самі вкрай чутливі до наявності викидів).",[5201,14494,14495],{},"Коли в датасеті з'являється кілька колосальних значень, середнє різко зсувається вправо, а $\\sigma$ роздувається в кілька разів.",[5201,14497,14498,14499,14502,14503,14476],{},"Внаслідок цього роздутий знаменник $\\sigma$ штучно ",[5224,14500,14501],{},"занижує Z-score"," для решти значень (явище маскування викидів — ",[6399,14504,14505],{},"masking effect",[5261,14507,14508],{},"Крім того, для логнормальних або степеневих розподілів (наприклад, затримка API-запитів) довгий правий хвіст є природною властивістю фізичного процесу. Застосування порогу $|z| > 3$ або зріже цілком легітимні спостереження, або пропустить справжні аномалії через асиметрію.",[5261,14510,14511,14514,14515,14517,14518,14521],{},[5224,14512,14513],{},"Інженерне рішення",": Для скошених даних завжди використовуйте робастні методи — міжквартильний розмах (",[5224,14516,6663],{},") або медіанне абсолютне відхилення (",[5224,14519,14520],{},"MAD",", Median Absolute Deviation).",[14104,14523,14526,14537],{"icon":14524,"label":14525},"i-lucide-scissors","Вінзоризація проти видалення: коли і яку стратегію краще обирати?",[5261,14527,14528,14529,14532,14533,14536],{},"Вибір між видаленням (",[6399,14530,14531],{},"dropping",") та вінзоризацією (",[6399,14534,14535],{},"capping",") залежить від типу моделі машинного навчання та доступного обсягу даних:",[6412,14538,14539,14564,14574],{},[5201,14540,14541,6671,14544],{},[5224,14542,14543],{},"Вінзоризація (Winsorization \u002F Capping)",[5198,14545,14546,14549,14555],{},[5201,14547,14548],{},"Замінює екстремальні хвости на фіксовані перцентилі (наприклад, $1%$ та $99%$).",[5201,14550,14551,14554],{},[5224,14552,14553],{},"Перевага",": Зберігає розмір датасету $N$. Якщо кожен рядок містить 50 інших корисних фіч, ви не викидаєте весь об'єкт на смітник, а лише нейтралізуєте вибухову силу екстремального значення в одній колонці.",[5201,14556,14557,14560,14561,14476],{},[5224,14558,14559],{},"Ідеально для",": Нейронних мереж, лінійної регресії та градієнтного спуску, де гігантські числа викликають вибух градієнтів (",[6399,14562,14563],{},"exploding gradients",[5201,14565,14566,6671,14569],{},[5224,14567,14568],{},"Логарифмічна трансформація ($\\log(1+x)$)",[5198,14570,14571],{},[5201,14572,14573],{},"Замість обрізання стискає весь правий хвіст за логарифмічною шкалою. Вона часто є кращою за вінзоризацію, оскільки не утворює штучного скупчення точок на межі відсікання.",[5201,14575,14576,6671,14579],{},[5224,14577,14578],{},"Повне видалення",[5198,14580,14581],{},[5201,14582,14583],{},"Має сенс лише на великих датасетах ($n > 100,000$) і виключно для рядків із підтвердженими сміттєвими даними вимірювань.",[5253,14585],{},[5256,14587,14589],{"id":14588},"резюме-ключові-takeaways","Резюме: ключові takeaways",[5190,14591,14592,14596,14600,14604,14609,14613],{},[5193,14593,14595],{"icon":6479,"title":14594},"Викид = екстремальне значення","Викид — спостереження, що значно відрізняється від решти даних. Може бути помилкою або цінною аномалією.",[5193,14597,14599],{"icon":62,"title":14598},"Метод IQR — робастний","Виявлення через квартилі: Q1 − 1.5×IQR та Q3 + 1.5×IQR. Не залежить від викидів. Box plot — ідеальна візуалізація.",[5193,14601,14603],{"icon":1348,"title":14602},"Метод Z-score — для нормальних даних","Виявлення через стандартні відхилення: |z| > 3. Інтуїтивний, але НЕ робастний (сам залежить від викидів).",[5193,14605,14608],{"icon":14606,"title":14607},"i-lucide-settings","5 стратегій обробки","Видалення, обрізання, трансформація, імпутація, залишити як є. Вибір залежить від контексту та цілей.",[5193,14610,14612],{"icon":4795,"title":14611},"Вплив на ML","Лінійна регресія, KNN, SVM — чутливі. Дерева, Random Forest, Gradient Boosting — робастні. Завжди аналізуйте викиди перед тренуванням!",[5193,14614,14617,14618,14620],{"icon":14615,"title":14616},"i-lucide-lightbulb","Золоте правило","Розумійте ",[5224,14619,6578],{}," викиду перед обробкою. Помилка вимірювання (видалити) ≠ реальна аномалія (зберегти).",[5253,14622],{},[5256,14624,14626],{"id":14625},"що-далі","Що далі?",[5261,14628,14629,14630,14633],{},"Ви завершили модуль ",[5224,14631,14632],{},"«Основи статистики»","! Тепер ви опанували:",[5261,14635,14636,14637,14640,14641,14643,14644,14646,14647,14649,14650,14652],{},"✅ Випадкові величини (детерміновані vs випадкові, дискретні vs неперервні)",[14638,14639],"br",{},"\n✅ Міри центральної тенденції (середнє, медіана, мода)",[14638,14642],{},"\n✅ Міри варіативності (розмах, дисперсія, стандартне відхилення, IQR)",[14638,14645],{},"\n✅ Розподіли (рівномірний, нормальний, Пуассона, правило 68-95-99.7, Z-оцінка)",[14638,14648],{},"\n✅ Кореляція (коваріація, Пірсон, матриці, кореляція ≠ причинність)",[14638,14651],{},"\n✅ Викиди (IQR, Z-score, стратегії обробки, вплив на ML)",[5261,14654,14655,14656,14659],{},"Ці знання — ",[5224,14657,14658],{},"фундамент"," для всієї Data Science. Ви готові:",[5198,14661,14662,14665,14668,14671],{},[5201,14663,14664],{},"Досліджувати датасети (EDA)",[5201,14666,14667],{},"Готувати дані для ML (feature engineering)",[5201,14669,14670],{},"Інтерпретувати результати моделей",[5201,14672,14673],{},"Критично мислити про дані",[8627,14675,14676,14683,14700],{},[5261,14677,14678,14679,14682],{},"💡 ",[5224,14680,14681],{},"Порада для закріплення:"," Візьміть будь-який реальний датасет з Kaggle. Виконайте повний статистичний аналіз:",[6412,14684,14685,14688,14691,14694,14697],{},[5201,14686,14687],{},"Описові статистики для кожного стовпця (mean, median, std, quartiles)",[5201,14689,14690],{},"Візуалізація розподілів (гістограми, box plots)",[5201,14692,14693],{},"Матриця кореляції (heatmap)",[5201,14695,14696],{},"Виявлення та обробка викидів",[5201,14698,14699],{},"Висновки: які змінні важливі, які зв'язки є, які дані потребують очищення",[5261,14701,14702],{},"Це стане вашим портфоліо та закріпить всі навички цього модуля!",[5253,14704],{},[5256,14706,14708],{"id":14707},"наступний-крок-ml-алгоритми","Наступний крок: ML-алгоритми",[5261,14710,14711,14712,6590],{},"Тепер, коли ви розумієте статистику, настав час перейти до ",[5224,14713,4858],{},[5198,14715,14716,14722,14728,14734],{},[5201,14717,14718,14721],{},[5224,14719,14720],{},"Супервізоване навчання:"," лінійна\u002Fлогістична регресія, дерева рішень, KNN",[5201,14723,14724,14727],{},[5224,14725,14726],{},"Метрики якості:"," точність, повнота, F1-score, ROC-AUC, MSE, R²",[5201,14729,14730,14733],{},[5224,14731,14732],{},"Валідація:"," train\u002Ftest split, cross-validation, overfitting\u002Funderfitting",[5201,14735,14736,14739],{},[5224,14737,14738],{},"Feature engineering:"," стандартизація, one-hot encoding, feature selection",[5261,14741,14742],{},"Статистика — ваш компас у світі Machine Learning. Удачі! 🚀",[14744,14745,14746],"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 .sJj4R, html code.shiki .sJj4R{--shiki-light:#098658;--shiki-default:#B5CEA8;--shiki-dark:#B5CEA8}html pre.shiki code .spJ8K, html code.shiki .spJ8K{--shiki-light:#008000;--shiki-default:#6A9955;--shiki-dark:#6A9955}html pre.shiki code .siwwj, html code.shiki .siwwj{--shiki-light:#001080;--shiki-default:#9CDCFE;--shiki-dark:#9CDCFE}html pre.shiki code .sbdoH, html code.shiki .sbdoH{--shiki-light:#A31515;--shiki-default:#CE9178;--shiki-dark:#CE9178}html pre.shiki code .su1O8, html code.shiki .su1O8{--shiki-light:#0000FF;--shiki-default:#569CD6;--shiki-dark:#569CD6}html pre.shiki code .s8Opu, html code.shiki .s8Opu{--shiki-light:#795E26;--shiki-default:#DCDCAA;--shiki-dark:#DCDCAA}html pre.shiki code .sjcCO, html code.shiki .sjcCO{--shiki-light:#EE0000;--shiki-default:#D7BA7D;--shiki-dark:#D7BA7D}html .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 .sN1BT, html code.shiki .sN1BT{--shiki-light:#267F99;--shiki-default:#4EC9B0;--shiki-dark:#4EC9B0}",{"title":5274,"searchDepth":5339,"depth":5339,"links":14748},[14749,14750,14754,14758,14762,14769,14770,14771,14776,14777,14778,14779],{"id":5258,"depth":5339,"text":5259},{"id":6390,"depth":5339,"text":6391,"children":14751},[14752,14753],{"id":6409,"depth":5352,"text":6410},{"id":6473,"depth":5352,"text":6474},{"id":6632,"depth":5339,"text":6633,"children":14755},[14756,14757],{"id":6644,"depth":5352,"text":6645},{"id":7793,"depth":5352,"text":7794},{"id":8665,"depth":5339,"text":8666,"children":14759},[14760,14761],{"id":8682,"depth":5352,"text":8683},{"id":9982,"depth":5352,"text":9983},{"id":10376,"depth":5339,"text":10377,"children":14763},[14764,14765,14766,14767,14768],{"id":10387,"depth":5352,"text":10388},{"id":10790,"depth":5352,"text":10791},{"id":11211,"depth":5352,"text":11212},{"id":11857,"depth":5352,"text":11858},{"id":11903,"depth":5352,"text":11904},{"id":11980,"depth":5339,"text":11981},{"id":13134,"depth":5339,"text":13135},{"id":14094,"depth":5339,"text":14095,"children":14772},[14773,14774,14775],{"id":14098,"depth":5352,"text":14099},{"id":14178,"depth":5352,"text":14179},{"id":14267,"depth":5352,"text":14268},{"id":14413,"depth":5339,"text":14414},{"id":14588,"depth":5339,"text":14589},{"id":14625,"depth":5339,"text":14626},{"id":14707,"depth":5339,"text":14708},"Методи виявлення викидів (IQR, Z-score), візуалізація через box plots, стратегії обробки та вплив на ML-моделі","md",null,{},{"title":3747,"description":14780},"rn6qK3zFAeTqzyEqXaVAg-N16T5pmSEXba-DUZnYxYk",[14787,14789],{"title":3743,"path":3744,"stem":3745,"description":14788,"children":-1},"Коваріація, коефіцієнт кореляції Пірсона, матриці кореляції, візуалізація та критичне розуміння зв'язків між змінними",{"title":3751,"path":3752,"stem":3753,"description":14790,"children":-1},"Комплексний модуль про побудову графіків у Python — від базових концепцій до складних багатопанельних візуалізацій",1792054961403]