[{"data":1,"prerenderedAt":8776},["ShallowReactive",2],{"navigation_docs":3,"-ai-python-linear-regression-multiple-regression":5180,"-ai-python-linear-regression-multiple-regression-surround":8771},[4,1707,2084,2556,2737,2863,3070,3192,3242,3299,3333,3459,3536,3550,3689,3983,4060,4793,4968,5061,5114,5176],{"title":5,"icon":6,"path":7,"stem":8,"children":9},"C#","i-devicon-csharp","\u002Fcsharp","01.csharp",[10,13,60,90,120,202,219,253,379,404,457,650,1364,1654,1703],{"title":11,"path":7,"stem":12},"C# та .NET","01.csharp\u002Findex",{"title":14,"icon":15,"path":16,"stem":17,"children":18,"page":59},"Fundamentals","i-lucide-book-open","\u002Fcsharp\u002Ffundamentals","01.csharp\u002F01.fundamentals",[19,23,27,31,35,39,43,47,51,55],{"title":20,"path":21,"stem":22},"Вступ до екосистеми .NET","\u002Fcsharp\u002Ffundamentals\u002Fintroduction-to-ecosystem","01.csharp\u002F01.fundamentals\u002F01.introduction-to-ecosystem",{"title":24,"path":25,"stem":26},"Структура програми на C#","\u002Fcsharp\u002Ffundamentals\u002Fprogram-structure","01.csharp\u002F01.fundamentals\u002F02.program-structure",{"title":28,"path":29,"stem":30},"Змінні та Типи Даних","\u002Fcsharp\u002Ffundamentals\u002Fvariables-data-types","01.csharp\u002F01.fundamentals\u002F03.variables-data-types",{"title":32,"path":33,"stem":34},"Масиви","\u002Fcsharp\u002Ffundamentals\u002Farrays","01.csharp\u002F01.fundamentals\u002F04.arrays",{"title":36,"path":37,"stem":38},"Strings & Text Handling","\u002Fcsharp\u002Ffundamentals\u002Fstrings-text-handling","01.csharp\u002F01.fundamentals\u002F05.strings-text-handling",{"title":40,"path":41,"stem":42},"Дати і Час","\u002Fcsharp\u002Ffundamentals\u002Fdates-time-handling","01.csharp\u002F01.fundamentals\u002F06.dates-time-handling",{"title":44,"path":45,"stem":46},"Потік Керування","\u002Fcsharp\u002Ffundamentals\u002Fcontrol-flow","01.csharp\u002F01.fundamentals\u002F07.control-flow",{"title":48,"path":49,"stem":50},"Методи","\u002Fcsharp\u002Ffundamentals\u002Fmethods","01.csharp\u002F01.fundamentals\u002F08.methods",{"title":52,"path":53,"stem":54},"Основи Відлагодження","\u002Fcsharp\u002Ffundamentals\u002Fdebugging-basics","01.csharp\u002F01.fundamentals\u002F09.debugging-basics",{"title":56,"path":57,"stem":58},"Інтерактивна Консоль (Classic)","\u002Fcsharp\u002Ffundamentals\u002Finteractive-console","01.csharp\u002F01.fundamentals\u002F10.interactive-console",false,{"title":61,"icon":62,"path":63,"stem":64,"children":65,"page":59},"OOP","i-lucide-box","\u002Fcsharp\u002Foop","01.csharp\u002F02.oop",[66,70,74,78,82,86],{"title":67,"path":68,"stem":69},"Package Management (Управління Пакетами)","\u002Fcsharp\u002Foop\u002Fpackage-management","01.csharp\u002F02.oop\u002F01.package-management",{"title":71,"path":72,"stem":73},"Класи та Об'єкти","\u002Fcsharp\u002Foop\u002Fclasses-objects","01.csharp\u002F02.oop\u002F02.classes-objects",{"title":75,"path":76,"stem":77},"Властивості та Поля","\u002Fcsharp\u002Foop\u002Fproperties-fields","01.csharp\u002F02.oop\u002F03.properties-fields",{"title":79,"path":80,"stem":81},"Стовпи ООП","\u002Fcsharp\u002Foop\u002Foop-pillars","01.csharp\u002F02.oop\u002F04.oop-pillars",{"title":83,"path":84,"stem":85},"Advanced Types","\u002Fcsharp\u002Foop\u002Fadvanced-types","01.csharp\u002F02.oop\u002F05.advanced-types",{"title":87,"path":88,"stem":89},"Namespaces (Простори Імен)","\u002Fcsharp\u002Foop\u002Fnamespaces","01.csharp\u002F02.oop\u002F06.namespaces",{"title":91,"icon":92,"path":93,"stem":94,"children":95,"page":59},"Advanced Core","i-lucide-zap","\u002Fcsharp\u002Fadvanced-core","01.csharp\u002F03.advanced-core",[96,100,104,108,112,116],{"title":97,"path":98,"stem":99},"Generics (Узагальнення)","\u002Fcsharp\u002Fadvanced-core\u002Fgenerics","01.csharp\u002F03.advanced-core\u002F01.generics",{"title":101,"path":102,"stem":103},"Делегати, Події та Лямбда-вирази","\u002Fcsharp\u002Fadvanced-core\u002Fdelegates-events-lambdas","01.csharp\u002F03.advanced-core\u002F02.delegates-events-lambdas",{"title":105,"path":106,"stem":107},"Interfaces Deep Dive (Інтерфейси: Поглиблений Розгляд)","\u002Fcsharp\u002Fadvanced-core\u002Finterfaces-deep-dive","01.csharp\u002F03.advanced-core\u002F03.interfaces-deep-dive",{"title":109,"path":110,"stem":111},"Обробка Винятків","\u002Fcsharp\u002Fadvanced-core\u002Fexception-handling","01.csharp\u002F03.advanced-core\u002F04.exception-handling",{"title":113,"path":114,"stem":115},"Pattern Matching","\u002Fcsharp\u002Fadvanced-core\u002Fpattern-matching","01.csharp\u002F03.advanced-core\u002F05.pattern-matching",{"title":117,"path":118,"stem":119},"Додаткові Можливості C#","\u002Fcsharp\u002Fadvanced-core\u002Fadditional-features","01.csharp\u002F03.advanced-core\u002F06.additional-features",{"title":121,"icon":122,"path":123,"stem":124,"children":125,"page":59},"Architecture Best Practices","i-lucide-building-2","\u002Fcsharp\u002Farchitecture-best-practices","01.csharp\u002F04.architecture-best-practices",[126,130,149,153,157,161,165,169],{"title":127,"path":128,"stem":129},"Software Design Principles (Частина 1)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fsoftware-design-principles","01.csharp\u002F04.architecture-best-practices\u002F01.software-design-principles",{"title":131,"icon":132,"path":133,"stem":134,"children":135,"page":59},"Design Patterns","i-lucide-folder","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdesign-patterns","01.csharp\u002F04.architecture-best-practices\u002F02.design-patterns",[136],{"title":137,"icon":132,"path":138,"stem":139,"children":140,"page":59},"Creational","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdesign-patterns\u002Fcreational","01.csharp\u002F04.architecture-best-practices\u002F02.design-patterns\u002Fcreational",[141,145],{"title":142,"path":143,"stem":144},"Singleton (Одинак)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdesign-patterns\u002Fcreational\u002Fsingleton","01.csharp\u002F04.architecture-best-practices\u002F02.design-patterns\u002Fcreational\u002F01.singleton",{"title":146,"path":147,"stem":148},"Builder (Будівельник)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdesign-patterns\u002Fcreational\u002Fbuilder","01.csharp\u002F04.architecture-best-practices\u002F02.design-patterns\u002Fcreational\u002F02.builder",{"title":150,"path":151,"stem":152},"Building Professional CLIs","\u002Fcsharp\u002Farchitecture-best-practices\u002Fbuilding-professional-clis","01.csharp\u002F04.architecture-best-practices\u002F03.building-professional-clis",{"title":154,"path":155,"stem":156},"Validation & Flow Control","\u002Fcsharp\u002Farchitecture-best-practices\u002Fvalidation-flow-control","01.csharp\u002F04.architecture-best-practices\u002F04.validation-flow-control",{"title":158,"path":159,"stem":160},"The Modern .NET Host (Microsoft.Extensions)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fmodern-dotnet-host","01.csharp\u002F04.architecture-best-practices\u002F05.modern-dotnet-host",{"title":162,"path":163,"stem":164},"Data Mapper: Repository та DAO патерни (Частина 1)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdata-mapper-part1","01.csharp\u002F04.architecture-best-practices\u002F06.data-mapper-part1",{"title":166,"path":167,"stem":168},"Data Mapper: Repository та DAO патерни (Частина 2)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdata-mapper-part2","01.csharp\u002F04.architecture-best-practices\u002F07.data-mapper-part2",{"title":170,"icon":132,"path":171,"stem":172,"children":173,"page":59},"Di Ioc","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc",[174,178,182,186,190,194,198],{"title":175,"path":176,"stem":177},"Проблема залежностей та Інверсія Контролю","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fthe-dependency-problem","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F01.the-dependency-problem",{"title":179,"path":180,"stem":181},"Будуємо власний Service Container","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fbuild-your-own-container","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F02.build-your-own-container",{"title":183,"path":184,"stem":185},"Service Locator: Паттерн та Анти-паттерн","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fservice-locator-pattern","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F03.service-locator-pattern",{"title":187,"path":188,"stem":189},"Паттерни Dependency Injection","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fdependency-injection-patterns","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F04.dependency-injection-patterns",{"title":191,"path":192,"stem":193},"Microsoft DI: IServiceCollection та IServiceProvider","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fmicrosoft-di-deep-dive","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F05.microsoft-di-deep-dive",{"title":195,"path":196,"stem":197},"Service Lifetimes та Scopes","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fservice-lifetimes-and-scopes","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F06.service-lifetimes-and-scopes",{"title":199,"path":200,"stem":201},"DI Анти-паттерни та Найкращі Практики","\u002Fcsharp\u002Farchitecture-best-practices\u002Fdi-ioc\u002Fdi-anti-patterns-and-best-practices","01.csharp\u002F04.architecture-best-practices\u002F08.di-ioc\u002F07.di-anti-patterns-and-best-practices",{"title":203,"icon":132,"path":204,"stem":205,"children":206,"page":59},"Standard Library","\u002Fcsharp\u002Fstandard-library","01.csharp\u002F05.standard-library",[207,211,215],{"title":208,"path":209,"stem":210},"Collections (Колекції)","\u002Fcsharp\u002Fstandard-library\u002Fcollections","01.csharp\u002F05.standard-library\u002F01.collections",{"title":212,"path":213,"stem":214},"High Performance Types (Високопродуктивні Типи)","\u002Fcsharp\u002Fstandard-library\u002Fhigh-performance-types","01.csharp\u002F05.standard-library\u002F02.high-performance-types",{"title":216,"path":217,"stem":218},"LINQ (Language Integrated Query)","\u002Fcsharp\u002Fstandard-library\u002Flinq","01.csharp\u002F05.standard-library\u002F03.linq",{"title":220,"icon":221,"path":222,"stem":223,"children":224,"page":59},"System Internals Concurrency","i-lucide-server","\u002Fcsharp\u002Fsystem-internals-concurrency","01.csharp\u002F06.system-internals-concurrency",[225,229,233,237,241,245,249],{"title":226,"path":227,"stem":228},"Memory Management","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fmemory-management","01.csharp\u002F06.system-internals-concurrency\u002F01.memory-management",{"title":230,"path":231,"stem":232},"Reflection API: System.Type та Метадані","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Freflection-fundamentals","01.csharp\u002F06.system-internals-concurrency\u002F02.reflection-fundamentals",{"title":234,"path":235,"stem":236},"Attributes та Dynamic Language Runtime","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fattributes-dynamic","01.csharp\u002F06.system-internals-concurrency\u002F03.attributes-dynamic",{"title":238,"path":239,"stem":240},"Expression Trees: Швидка Альтернатива Рефлексії","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fexpression-trees-compiled","01.csharp\u002F06.system-internals-concurrency\u002F04.expression-trees-compiled",{"title":242,"path":243,"stem":244},"Source Generators: Compile-Time Code Generation","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fsource-generators","01.csharp\u002F06.system-internals-concurrency\u002F05.source-generators",{"title":246,"path":247,"stem":248},"Multithreading Fundamentals","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fmultithreading-fundamentals","01.csharp\u002F06.system-internals-concurrency\u002F06.multithreading-fundamentals",{"title":250,"path":251,"stem":252},"Synchronization Primitives","\u002Fcsharp\u002Fsystem-internals-concurrency\u002Fsynchronization-primitives","01.csharp\u002F06.system-internals-concurrency\u002F07.synchronization-primitives",{"title":254,"icon":255,"path":256,"stem":257,"children":258,"page":59},"System Programming Windows","i-lucide-cpu","\u002Fcsharp\u002Fsystem-programming-windows","01.csharp\u002F07.system-programming-windows",[259,263,267,271,275,279,283,287,291,295,299,303,307,311,315,319,323,327,331,335,339,343,347,351,355,359,363,367,371,375],{"title":260,"path":261,"stem":262},"Як Працює Операційна Система","\u002Fcsharp\u002Fsystem-programming-windows\u002Fhow-os-works","01.csharp\u002F07.system-programming-windows\u002F01.how-os-works",{"title":264,"path":265,"stem":266},"Процеси в .NET — API та Запуск","\u002Fcsharp\u002Fsystem-programming-windows\u002Fprocesses-in-dotnet","01.csharp\u002F07.system-programming-windows\u002F02.processes-in-dotnet",{"title":268,"path":269,"stem":270},"Процеси в .NET — IPC та Міжпроцесна Комунікація","\u002Fcsharp\u002Fsystem-programming-windows\u002F02a.processes-ipc","01.csharp\u002F07.system-programming-windows\u002F02a.processes-ipc",{"title":272,"path":273,"stem":274},"Application Domains та Збірки — AppDomain і AssemblyLoadContext","\u002Fcsharp\u002Fsystem-programming-windows\u002Fappdomains-assemblies","01.csharp\u002F07.system-programming-windows\u002F03.appdomains-assemblies",{"title":276,"path":277,"stem":278},"Application Domains та Збірки — Plug-in Система з Hot-Reload","\u002Fcsharp\u002Fsystem-programming-windows\u002F03a.appdomains-plugin-system","01.csharp\u002F07.system-programming-windows\u002F03a.appdomains-plugin-system",{"title":280,"path":281,"stem":282},"Потоки — Основи та API Thread","\u002Fcsharp\u002Fsystem-programming-windows\u002Fthread-fundamentals","01.csharp\u002F07.system-programming-windows\u002F04.thread-fundamentals",{"title":284,"path":285,"stem":286},"Потоки — Lifecycle, Пріоритети та Безпечне Завершення","\u002Fcsharp\u002Fsystem-programming-windows\u002F04a.thread-lifecycle-priorities","01.csharp\u002F07.system-programming-windows\u002F04a.thread-lifecycle-priorities",{"title":288,"path":289,"stem":290},"Проблеми Спільного Стану — Race Condition та Data Race","\u002Fcsharp\u002Fsystem-programming-windows\u002Fshared-state-problems","01.csharp\u002F07.system-programming-windows\u002F05.shared-state-problems",{"title":292,"path":293,"stem":294},"Проблеми Спільного Стану — Memory Model та volatile","\u002Fcsharp\u002Fsystem-programming-windows\u002F05a.shared-state-memory-model","01.csharp\u002F07.system-programming-windows\u002F05a.shared-state-memory-model",{"title":296,"path":297,"stem":298},"Синхронізація — Monitor, lock та еволюція примітивів","\u002Fcsharp\u002Fsystem-programming-windows\u002Fsynchronization-fundamentals","01.csharp\u002F07.system-programming-windows\u002F06.synchronization-fundamentals",{"title":300,"path":301,"stem":302},"Синхронізація — Наскрізний Приклад та Deadlock Detection","\u002Fcsharp\u002Fsystem-programming-windows\u002F06a.synchronization-walkthrough","01.csharp\u002F07.system-programming-windows\u002F06a.synchronization-walkthrough",{"title":304,"path":305,"stem":306},"Синхронізація — Mutex, Semaphore та Event-Based Primitives","\u002Fcsharp\u002Fsystem-programming-windows\u002Fsynchronization-advanced","01.csharp\u002F07.system-programming-windows\u002F07.synchronization-advanced",{"title":308,"path":309,"stem":310},"Синхронізація — Interlocked, Volatile та Lock-Free Структури","\u002Fcsharp\u002Fsystem-programming-windows\u002F07a.synchronization-advanced-walkthrough","01.csharp\u002F07.system-programming-windows\u002F07a.synchronization-advanced-walkthrough",{"title":312,"path":313,"stem":314},"Interlocked, CAS та Lock-Free Структури","\u002Fcsharp\u002Fsystem-programming-windows\u002Finterlocked-cas-lockfree","01.csharp\u002F07.system-programming-windows\u002F08.interlocked-cas-lockfree",{"title":316,"path":317,"stem":318},"Volatile, Memory Model та Spinning","\u002Fcsharp\u002Fsystem-programming-windows\u002F08a.volatile-memory-model","01.csharp\u002F07.system-programming-windows\u002F08a.volatile-memory-model",{"title":320,"path":321,"stem":322},"ThreadPool — Пул Потоків для Ефективного Виконання","\u002Fcsharp\u002Fsystem-programming-windows\u002Fthread-pool","01.csharp\u002F07.system-programming-windows\u002F09.thread-pool",{"title":324,"path":325,"stem":326},"ThreadPool — Просунуті Сценарії та Внутрішня Будова","\u002Fcsharp\u002Fsystem-programming-windows\u002F09a.thread-pool-advanced","01.csharp\u002F07.system-programming-windows\u002F09a.thread-pool-advanced",{"title":328,"path":329,"stem":330},"Concurrent та Immutable Collections","\u002Fcsharp\u002Fsystem-programming-windows\u002Fconcurrent-collections","01.csharp\u002F07.system-programming-windows\u002F10.concurrent-collections",{"title":332,"path":333,"stem":334},"TPL, Task та Композиція — Від Thread до Task","\u002Fcsharp\u002Fsystem-programming-windows\u002Ftpl-parallel-plinq","01.csharp\u002F07.system-programming-windows\u002F11.tpl-parallel-plinq",{"title":336,"path":337,"stem":338},"Parallel Class та PLINQ — Data Parallelism","\u002Fcsharp\u002Fsystem-programming-windows\u002F11a.tpl-parallel-plinq-advanced","01.csharp\u002F07.system-programming-windows\u002F11a.tpl-parallel-plinq-advanced",{"title":340,"path":341,"stem":342},"Async\u002FAwait — Фундамент Асинхронного Програмування","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-fundamentals","01.csharp\u002F07.system-programming-windows\u002F12.async-fundamentals",{"title":344,"path":345,"stem":346},"SynchronizationContext та ConfigureAwait — Контекст Виконання","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-context-configureawait","01.csharp\u002F07.system-programming-windows\u002F13.async-context-configureawait",{"title":348,"path":349,"stem":350},"Async — Просунуті Паттерни","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-advanced","01.csharp\u002F07.system-programming-windows\u002F14.async-advanced",{"title":352,"path":353,"stem":354},"System.Threading.Channels — Async Producer-Consumer","\u002Fcsharp\u002Fsystem-programming-windows\u002Fchannels","01.csharp\u002F07.system-programming-windows\u002F15.channels",{"title":356,"path":357,"stem":358},"Асинхронна Синхронізація","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-synchronization","01.csharp\u002F07.system-programming-windows\u002F16.async-synchronization",{"title":360,"path":361,"stem":362},"Unsafe Code та Вказівники","\u002Fcsharp\u002Fsystem-programming-windows\u002Funsafe-code","01.csharp\u002F07.system-programming-windows\u002F17.unsafe-code",{"title":364,"path":365,"stem":366},"P\u002FInvoke та Windows API — Міст між .NET та Native Code","\u002Fcsharp\u002Fsystem-programming-windows\u002Fpinvoke-winapi","01.csharp\u002F07.system-programming-windows\u002F18.pinvoke-winapi",{"title":368,"path":369,"stem":370},"Реєстр Windows — Центральна База Конфігурації Системи","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-registry","01.csharp\u002F07.system-programming-windows\u002F19.windows-registry",{"title":372,"path":373,"stem":374},"Windows Hooks, Hotkeys та Services — Глибока Інтеграція з ОС","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-hooks-services","01.csharp\u002F07.system-programming-windows\u002F20.windows-hooks-services",{"title":376,"path":377,"stem":378},"Системне Програмування C# (Windows) — 07.system-programming-windows","\u002Fcsharp\u002Fsystem-programming-windows\u002Fimplementation_plan","01.csharp\u002F07.system-programming-windows\u002Fimplementation_plan",{"title":380,"icon":132,"path":381,"stem":382,"children":383,"page":59},"Io","\u002Fcsharp\u002Fio","01.csharp\u002F08.io",[384,388,392,396,400],{"title":385,"path":386,"stem":387},"8.1.1. Основи роботи з файловою системою","\u002Fcsharp\u002Fio\u002Ffile-system-basics","01.csharp\u002F08.io\u002F01.file-system-basics",{"title":389,"path":390,"stem":391},"8.1.2. Потоки (Streams) та Серіалізація Даних","\u002Fcsharp\u002Fio\u002Fstreams-serialization","01.csharp\u002F08.io\u002F02.streams-serialization",{"title":393,"path":394,"stem":395},"8.2.1. JSON Serialization з System.Text.Json","\u002Fcsharp\u002Fio\u002Fjson-serialization","01.csharp\u002F08.io\u002F03.json-serialization",{"title":397,"path":398,"stem":399},"8.2.2. XML Serialization та LINQ to XML","\u002Fcsharp\u002Fio\u002Fxml-serialization","01.csharp\u002F08.io\u002F04.xml-serialization",{"title":401,"path":402,"stem":403},"8.2.3. Binary Serialization: MessagePack та Protocol Buffers","\u002Fcsharp\u002Fio\u002Fbinary-serialization","01.csharp\u002F08.io\u002F05.binary-serialization",{"title":405,"icon":132,"path":406,"stem":407,"children":408,"page":59},"Ado Net","\u002Fcsharp\u002Fado-net","01.csharp\u002F09.ado-net",[409,413,417,421,425,429,433,437,441,445,449,453],{"title":410,"path":411,"stem":412},"9.1. Введення в ADO.NET","\u002Fcsharp\u002Fado-net\u002Fintroduction-to-adonet","01.csharp\u002F09.ado-net\u002F01.introduction-to-adonet",{"title":414,"path":415,"stem":416},"9.2. Клас DbConnection — з'єднання з базою даних","\u002Fcsharp\u002Fado-net\u002Fconnection","01.csharp\u002F09.ado-net\u002F02.connection",{"title":418,"path":419,"stem":420},"9.3. Клас DbCommand — виконання SQL-запитів","\u002Fcsharp\u002Fado-net\u002Fcommand-and-queries","01.csharp\u002F09.ado-net\u002F03.command-and-queries",{"title":422,"path":423,"stem":424},"9.4. Клас DbDataReader — ефективне читання даних","\u002Fcsharp\u002Fado-net\u002Fdatareader","01.csharp\u002F09.ado-net\u002F04.datareader",{"title":426,"path":427,"stem":428},"9.5. Параметризовані запити та захист від SQL Injection","\u002Fcsharp\u002Fado-net\u002Fparameters-and-sql-injection","01.csharp\u002F09.ado-net\u002F05.parameters-and-sql-injection",{"title":430,"path":431,"stem":432},"9.6. Транзакції в ADO.NET","\u002Fcsharp\u002Fado-net\u002Ftransactions","01.csharp\u002F09.ado-net\u002F06.transactions",{"title":434,"path":435,"stem":436},"9.7. DbProviderFactory — провайдер-незалежний код","\u002Fcsharp\u002Fado-net\u002Fprovider-factory","01.csharp\u002F09.ado-net\u002F07.provider-factory",{"title":438,"path":439,"stem":440},"9.8. Асинхронний доступ до даних","\u002Fcsharp\u002Fado-net\u002Fasync-data-access","01.csharp\u002F09.ado-net\u002F08.async-data-access",{"title":442,"path":443,"stem":444},"9.9. Від'єднаний режим: DataSet, DataTable, DataRow","\u002Fcsharp\u002Fado-net\u002Fdisconnected-mode-dataset","01.csharp\u002F09.ado-net\u002F09.disconnected-mode-dataset",{"title":446,"path":447,"stem":448},"9.10. DataAdapter — міст між DataSet та базою даних","\u002Fcsharp\u002Fado-net\u002Fdata-adapter","01.csharp\u002F09.ado-net\u002F10.data-adapter",{"title":450,"path":451,"stem":452},"9.11. Data Mapper та Repository: Архітектура доступу до даних","\u002Fcsharp\u002Fado-net\u002Fdata-mapper-repository","01.csharp\u002F09.ado-net\u002F11.data-mapper-repository",{"title":454,"path":455,"stem":456},"9.12. Identity Map, Unit of Work та Specification Pattern","\u002Fcsharp\u002Fado-net\u002Fadvanced-patterns","01.csharp\u002F09.ado-net\u002F12.advanced-patterns",{"title":458,"icon":255,"path":459,"stem":460,"children":461,"page":59},"Ef Core","\u002Fcsharp\u002Fef-core","01.csharp\u002F10.ef-core",[462,466,470,474,478,482,486,490,494,498,502,506,510,514,518,522,526,532,538,542,546,550,554,558,562,566,570,574,578,582,586,590,594,598,602,606,610,614,618,622,626,630,634,638,642,646],{"title":463,"path":464,"stem":465},"Що таке ORM? Від SQL до об'єктів","\u002Fcsharp\u002Fef-core\u002Fwhat-is-orm","01.csharp\u002F10.ef-core\u002F01.what-is-orm",{"title":467,"path":468,"stem":469},"Перший проєкт — від нуля до CRUD","\u002Fcsharp\u002Fef-core\u002Ffirst-project","01.csharp\u002F10.ef-core\u002F02.first-project",{"title":471,"path":472,"stem":473},"DbContext — Серце EF Core","\u002Fcsharp\u002Fef-core\u002Fdbcontext-deep-dive","01.csharp\u002F10.ef-core\u002F03.dbcontext-deep-dive",{"title":475,"path":476,"stem":477},"Провайдери баз даних — Архітектура та Вибір СУБД","\u002Fcsharp\u002Fef-core\u002Fdatabase-providers","01.csharp\u002F10.ef-core\u002F04.database-providers",{"title":479,"path":480,"stem":481},"Конвенції EF Core — Магія без конфігурації","\u002Fcsharp\u002Fef-core\u002Fconventions","01.csharp\u002F10.ef-core\u002F05.conventions",{"title":483,"path":484,"stem":485},"Fluent API та Data Annotations — Явна конфігурація моделі","\u002Fcsharp\u002Fef-core\u002Ffluent-api-vs-annotations","01.csharp\u002F10.ef-core\u002F06.fluent-api-vs-annotations",{"title":487,"path":488,"stem":489},"Зв'язки — One-to-One та One-to-Many","\u002Fcsharp\u002Fef-core\u002Frelationships-basics","01.csharp\u002F10.ef-core\u002F07.relationships-basics",{"title":491,"path":492,"stem":493},"Зв'язки Advanced — Many-to-Many та Складні Сценарії","\u002Fcsharp\u002Fef-core\u002Frelationships-advanced","01.csharp\u002F10.ef-core\u002F08.relationships-advanced",{"title":495,"path":496,"stem":497},"Властивості — Типи, Конвертери, Компаратори (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part1","01.csharp\u002F10.ef-core\u002F09.property-configuration-part1",{"title":499,"path":500,"stem":501},"Властивості — Value Comparers, Generators, Shadow Properties (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part2","01.csharp\u002F10.ef-core\u002F09.property-configuration-part2",{"title":503,"path":504,"stem":505},"Складні типи — Owned Types та Complex Types (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part1","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part1",{"title":507,"path":508,"stem":509},"Складні типи — Complex Types, Keyless Entities, Порівняння (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part2","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part2",{"title":511,"path":512,"stem":513},"JSON Columns — Складні дані у JSON (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part1","01.csharp\u002F10.ef-core\u002F11.json-columns-part1",{"title":515,"path":516,"stem":517},"JSON Columns — Value Comparers, Індекси, Провайдери (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part2","01.csharp\u002F10.ef-core\u002F11.json-columns-part2",{"title":519,"path":520,"stem":521},"Успадкування — Абстрактні класи та TPH (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finheritance-part1","01.csharp\u002F10.ef-core\u002F12.inheritance-part1",{"title":523,"path":524,"stem":525},"Успадкування — TPT, TPC та Порівняння Стратегій (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finheritance-part2","01.csharp\u002F10.ef-core\u002F12.inheritance-part2",{"title":527,"path":528,"stem":529,"children":530},"Індекси, Обмеження та Схема (Частина 1)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part1","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part1",[531],{"title":527,"path":528,"stem":529},{"title":533,"path":534,"stem":535,"children":536},"Індекси, Обмеження та Схема (Частина 2)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part2","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part2",[537],{"title":533,"path":534,"stem":535},{"title":539,"path":540,"stem":541},"Seed Data — Початкові Дані (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fseeding-part1","01.csharp\u002F10.ef-core\u002F14.seeding-part1",{"title":543,"path":544,"stem":545},"Seed Data — SQL-скрипти, Bogus та Стратегії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fseeding-part2","01.csharp\u002F10.ef-core\u002F14.seeding-part2",{"title":547,"path":548,"stem":549},"Global Query Filters — Глобальні Фільтри (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part1","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part1",{"title":551,"path":552,"stem":553},"Global Query Filters — Підводні камені та Інтеграція (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part2","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part2",{"title":555,"path":556,"stem":557},"LINQ-запити в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part1","01.csharp\u002F10.ef-core\u002F16.linq-queries-part1",{"title":559,"path":560,"stem":561},"LINQ-запити в EF Core (Частина 2)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part2","01.csharp\u002F10.ef-core\u002F16.linq-queries-part2",{"title":563,"path":564,"stem":565},"Завантаження Пов'язаних Даних (Частина 1)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part1","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part1",{"title":567,"path":568,"stem":569},"Завантаження Пов'язаних Даних (Частина 2)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part2","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part2",{"title":571,"path":572,"stem":573},"Raw SQL, Views та Stored Procedures (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part1","01.csharp\u002F10.ef-core\u002F18.raw-sql-part1",{"title":575,"path":576,"stem":577},"Raw SQL — Stored Procedures, DbFunction та Bulk Operations (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part2","01.csharp\u002F10.ef-core\u002F18.raw-sql-part2",{"title":579,"path":580,"stem":581},"Продвинуті Запити — Compiled Queries, Bulk та Оптимізація (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part1","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part1",{"title":583,"path":584,"stem":585},"Продвинуті Запити — Query Tags, Bulk та Interceptors (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part2","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part2",{"title":587,"path":588,"stem":589},"Change Tracker — Відстеження Змін (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part1","01.csharp\u002F10.ef-core\u002F20.change-tracking-part1",{"title":591,"path":592,"stem":593},"Change Tracker — Графи Об'єктів та Disconnected (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part2","01.csharp\u002F10.ef-core\u002F20.change-tracking-part2",{"title":595,"path":596,"stem":597},"Збереження Даних та Транзакції (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part1","01.csharp\u002F10.ef-core\u002F21.saving-data-part1",{"title":599,"path":600,"stem":601},"Збереження Даних — Concurrency та Outbox (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part2","01.csharp\u002F10.ef-core\u002F21.saving-data-part2",{"title":603,"path":604,"stem":605},"Конкурентність та Блокування (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part1","01.csharp\u002F10.ef-core\u002F22.concurrency-part1",{"title":607,"path":608,"stem":609},"Конкурентність — Дедлоки та Queue Processing (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part2","01.csharp\u002F10.ef-core\u002F22.concurrency-part2",{"title":611,"path":612,"stem":613},"Міграції в EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part1","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part1",{"title":615,"path":616,"stem":617},"Міграції в EF Core — Основи (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part2","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part2",{"title":619,"path":620,"stem":621},"Міграції — Просунуті Сценарії (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part1","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part1",{"title":623,"path":624,"stem":625},"Міграції — Просунуті Сценарії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part2","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part2",{"title":627,"path":628,"stem":629},"Управління Схемою та Database-First (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part1","01.csharp\u002F10.ef-core\u002F25.schema-management-part1",{"title":631,"path":632,"stem":633},"Управління Схемою та Database-First (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part2","01.csharp\u002F10.ef-core\u002F25.schema-management-part2",{"title":635,"path":636,"stem":637},"Продуктивність EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fperformance-fundamentals-part1","01.csharp\u002F10.ef-core\u002F26.performance-fundamentals-part1",{"title":639,"path":640,"stem":641},"Interceptors в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part1","01.csharp\u002F10.ef-core\u002F29.interceptors-part1",{"title":643,"path":644,"stem":645},"Interceptors в EF Core — Connection, Transaction та Materialization (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part2","01.csharp\u002F10.ef-core\u002F29.interceptors-part2",{"title":647,"path":648,"stem":649},"План вивчення Entity Framework Core — Повний курс","\u002Fcsharp\u002Fef-core\u002Fimplementation_plan","01.csharp\u002F10.ef-core\u002Fimplementation_plan",{"title":651,"icon":652,"path":653,"stem":654,"children":655,"page":59},"ASP.NET","i-devicon-dotnetcore","\u002Fcsharp\u002Faspnet","01.csharp\u002F11.aspnet",[656,730,791,869,927,941,967,1057,1111,1182,1212,1289,1346],{"title":657,"icon":658,"path":659,"stem":660,"children":661,"page":59},"Minimal API","i-lucide-network","\u002Fcsharp\u002Faspnet\u002Fminimal-api","01.csharp\u002F11.aspnet\u002F01.minimal-api",[662,666,670,674,678,682,686,690,694,698,702,706,710,714,718,722,726],{"title":663,"path":664,"stem":665},"Вступ до ASP.NET та еволюція фреймворку","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fintroduction","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F01.introduction",{"title":667,"path":668,"stem":669},"Перший додаток на ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Ffirst-application","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F02.first-application",{"title":671,"path":672,"stem":673},"WebApplication, Builder та Dependency Injection","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fwebapplication-builder","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F03.webapplication-builder",{"title":675,"path":676,"stem":677},"Конвеєр запитів та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frequest-pipeline-middleware","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F04.request-pipeline-middleware",{"title":679,"path":680,"stem":681},"Маршрутизація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F05.routing-basics",{"title":683,"path":684,"stem":685},"Маршрутизація в ASP.NET Core: Розширені можливості","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F06.routing-advanced",{"title":687,"path":688,"stem":689},"Статичні файли в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-files","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F07.static-files",{"title":691,"path":692,"stem":693},"Статичні Активи: MapStaticAssets (ASP.NET Core 9.0)","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-assets","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F08.static-assets",{"title":695,"path":696,"stem":697},"Конфігурація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-fundamentals","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F09.configuration-fundamentals",{"title":699,"path":700,"stem":701},"Конфігурація: Паттерн Options","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-options","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F10.configuration-options",{"title":703,"path":704,"stem":705},"Логування в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F11.logging-basics",{"title":707,"path":708,"stem":709},"Логування: Serilog та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F12.logging-advanced",{"title":711,"path":712,"stem":713},"Управління станом: HttpContext.Items та Cookies","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstate-management","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F13.state-management",{"title":715,"path":716,"stem":717},"Стан сесії: Sessions","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fsession-state","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F14.session-state",{"title":719,"path":720,"stem":721},"Структура проєкту: від хаосу до архітектури","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fproject-structure","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F15.project-structure",{"title":723,"path":724,"stem":725},"Scalar у Minimal API: повний проєкт і Fluent OpenAPI","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fscalar-openapi-fluent","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F16.scalar-openapi-fluent",{"title":727,"path":728,"stem":729},"Swagger \u002F Swashbuckle у Minimal API: окремий класичний шлях","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fswagger-swashbuckle","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F17.swagger-swashbuckle",{"title":731,"icon":658,"path":732,"stem":733,"children":734,"page":59},"API","\u002Fcsharp\u002Faspnet\u002Fapi","01.csharp\u002F11.aspnet\u002F02.api",[735,739,743,747,751,755,759,763,767,771,775,779,783,787],{"title":736,"path":737,"stem":738},"Що таке API. Клієнт-серверна архітектура","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fwhat-is-api","01.csharp\u002F11.aspnet\u002F02.api\u002F01.what-is-api",{"title":740,"path":741,"stem":742},"Формати даних: JSON, XML, TOML та бінарні формати","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fdata-formats","01.csharp\u002F11.aspnet\u002F02.api\u002F02.data-formats",{"title":744,"path":745,"stem":746},"Парадигми API та концепція REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-paradigms-rest","01.csharp\u002F11.aspnet\u002F02.api\u002F03.api-paradigms-rest",{"title":748,"path":749,"stem":750},"HTTP-методи, статус-коди та заголовки","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fhttp-methods-status-codes","01.csharp\u002F11.aspnet\u002F02.api\u002F04.http-methods-status-codes",{"title":752,"path":753,"stem":754},"Організація HTTP API за принципами REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Frest-organizing","01.csharp\u002F11.aspnet\u002F02.api\u002F05.rest-organizing",{"title":756,"path":757,"stem":758},"Номенклатура URL та CRUD-операції","\u002Fcsharp\u002Faspnet\u002Fapi\u002Furl-nomenclature-crud","01.csharp\u002F11.aspnet\u002F02.api\u002F06.url-nomenclature-crud",{"title":760,"path":761,"stem":762},"Правила дизайну: іменування та стандарти","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-naming","01.csharp\u002F11.aspnet\u002F02.api\u002F07.api-design-naming",{"title":764,"path":765,"stem":766},"Валідація, ліміти та обробка помилок","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-validation","01.csharp\u002F11.aspnet\u002F02.api\u002F08.api-design-validation",{"title":768,"path":769,"stem":770},"Обробка помилок у Minimal API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Ferror-handling-http","01.csharp\u002F11.aspnet\u002F02.api\u002F09.error-handling-http",{"title":772,"path":773,"stem":774},"Ідемпотентність та синхронізація стану","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fidempotency-sync","01.csharp\u002F11.aspnet\u002F02.api\u002F10.idempotency-sync",{"title":776,"path":777,"stem":778},"Пагінація та організація списків","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fpagination-lists","01.csharp\u002F11.aspnet\u002F02.api\u002F11.pagination-lists",{"title":780,"path":781,"stem":782},"Безпека API, кешування та інтернаціоналізація","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fsecurity-auth","01.csharp\u002F11.aspnet\u002F02.api\u002F12.security-auth",{"title":784,"path":785,"stem":786},"Процес проєктування API та документування","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-process","01.csharp\u002F11.aspnet\u002F02.api\u002F13.api-design-process",{"title":788,"path":789,"stem":790},"OpenAPI: контракт, специфікація та документація API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fopenapi","01.csharp\u002F11.aspnet\u002F02.api\u002F14.openapi",{"title":792,"icon":793,"path":794,"stem":795,"children":796,"page":59},"Auth","i-lucide-shield-check","\u002Fcsharp\u002Faspnet\u002Fauth","01.csharp\u002F11.aspnet\u002F03.auth",[797,801,805,809,813,817,821,825,829,833,837,841,845,849,853,857,861,865],{"title":798,"path":799,"stem":800},"Основи аутентифікації та авторизації","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauth-fundamentals","01.csharp\u002F11.aspnet\u002F03.auth\u002F01.auth-fundamentals",{"title":802,"path":803,"stem":804},"JWT-аутентифікація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fjwt-authentication","01.csharp\u002F11.aspnet\u002F03.auth\u002F02.jwt-authentication",{"title":806,"path":807,"stem":808},"Авторизація: ролі, політики та resource-based доступ","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauthorization-policies","01.csharp\u002F11.aspnet\u002F03.auth\u002F03.authorization-policies",{"title":810,"path":811,"stem":812},"Cookie-аутентифікація та ASP.NET Core Identity","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcookie-auth-identity","01.csharp\u002F11.aspnet\u002F03.auth\u002F04.cookie-auth-identity",{"title":814,"path":815,"stem":816},"JWT + Refresh Tokens (HttpOnly Cookie)","\u002Fcsharp\u002Faspnet\u002Fauth\u002F04b.identity-auth-jwt","01.csharp\u002F11.aspnet\u002F03.auth\u002F04b.identity-auth-jwt",{"title":818,"path":819,"stem":820},"Identity: Підтвердження Email та Скидання Пароля","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-email-confirmation","01.csharp\u002F11.aspnet\u002F03.auth\u002F05.identity-email-confirmation",{"title":822,"path":823,"stem":824},"Identity: Двофакторна Аутентифікація (2FA)","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-two-factor","01.csharp\u002F11.aspnet\u002F03.auth\u002F06.identity-two-factor",{"title":826,"path":827,"stem":828},"Identity: Внутрішня Архітектура та Кастомізація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-internals","01.csharp\u002F11.aspnet\u002F03.auth\u002F07.identity-internals",{"title":830,"path":831,"stem":832},"OAuth 2.0 та зовнішні провайдери","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-external-providers","01.csharp\u002F11.aspnet\u002F03.auth\u002F08.oauth-external-providers",{"title":834,"path":835,"stem":836},"Безпека на практиці: CORS, HTTPS та захист від атак","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fsecurity-hardening","01.csharp\u002F11.aspnet\u002F03.auth\u002F09.security-hardening",{"title":838,"path":839,"stem":840},"Теорія OAuth 2.0: Поняття, Аналогії та Флоу","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-theory","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oauth-theory",{"title":842,"path":843,"stem":844},"OIDC, OAuth 2.0 та Keycloak в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foidc-keycloak","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oidc-keycloak",{"title":846,"path":847,"stem":848},"API Keys аутентифікація в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fapi-keys","01.csharp\u002F11.aspnet\u002F03.auth\u002F11.api-keys",{"title":850,"path":851,"stem":852},"Rate Limiting та Throttling в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frate-limiting","01.csharp\u002F11.aspnet\u002F03.auth\u002F12.rate-limiting",{"title":854,"path":855,"stem":856},"Refresh Token Rotation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frefresh-token-rotation","01.csharp\u002F11.aspnet\u002F03.auth\u002F13.refresh-token-rotation",{"title":858,"path":859,"stem":860},"Certificate Authentication та mTLS в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcertificate-auth","01.csharp\u002F11.aspnet\u002F03.auth\u002F14.certificate-auth",{"title":862,"path":863,"stem":864},"RBAC, ABAC та ReBAC в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frbac-abac-rebac","01.csharp\u002F11.aspnet\u002F03.auth\u002F15.rbac-abac-rebac",{"title":866,"path":867,"stem":868},"Multi-tenancy та ізоляція даних в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fmulti-tenancy","01.csharp\u002F11.aspnet\u002F03.auth\u002F16.multi-tenancy",{"title":870,"icon":871,"path":872,"stem":873,"children":874,"page":59},"Нотифікації","i-lucide-bell","\u002Fcsharp\u002Faspnet\u002Fnotifications","01.csharp\u002F11.aspnet\u002F04.notifications",[875,879,883,887,891,895,899,903,907,911,915,919,923],{"title":876,"path":877,"stem":878},"In-App нотифікації через базу даних","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fin-app-database-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F01.in-app-database-notifications",{"title":880,"path":881,"stem":882},"Polling: Регулярний запит оновлень","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fpolling","01.csharp\u002F11.aspnet\u002F04.notifications\u002F02.polling",{"title":884,"path":885,"stem":886},"Server-Sent Events: Однострімовий push від сервера","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fserver-sent-events","01.csharp\u002F11.aspnet\u002F04.notifications\u002F03.server-sent-events",{"title":888,"path":889,"stem":890},"WebSockets: Двостороннє з'єднання в реальному часі","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fwebsockets","01.csharp\u002F11.aspnet\u002F04.notifications\u002F04.websockets",{"title":892,"path":893,"stem":894},"SignalR: Абстракція над транспортами реального часу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fsignalr","01.csharp\u002F11.aspnet\u002F04.notifications\u002F05.signalr",{"title":896,"path":897,"stem":898},"Background Services: Фонові задачі в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fbackground-services","01.csharp\u002F11.aspnet\u002F04.notifications\u002F06.background-services",{"title":900,"path":901,"stem":902},"Web Push нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fweb-push","01.csharp\u002F11.aspnet\u002F04.notifications\u002F07.web-push",{"title":904,"path":905,"stem":906},"Email нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Femail-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F08.email-notifications",{"title":908,"path":909,"stem":910},"Порівняння підходів: Як вибрати правильну технологію нотифікацій","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fchoosing-the-right-approach","01.csharp\u002F11.aspnet\u002F04.notifications\u002F09.choosing-the-right-approach",{"title":912,"path":913,"stem":914},"Hangfire: Надійне планування фонових задач","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire","01.csharp\u002F11.aspnet\u002F04.notifications\u002F10.hangfire",{"title":916,"path":917,"stem":918},"Практика: Конвертація зображень у WebP через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-image-webp","01.csharp\u002F11.aspnet\u002F04.notifications\u002F11.hangfire-image-webp",{"title":920,"path":921,"stem":922},"Практика: Підготовка відео до HLS-стрімінгу через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-video-hls","01.csharp\u002F11.aspnet\u002F04.notifications\u002F12.hangfire-video-hls",{"title":924,"path":925,"stem":926},"Telegram-нотифікації: від одного повідомлення до масових розсилок і мульти-канального підходу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Ftelegram-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F13.telegram-notifications",{"title":928,"icon":929,"path":930,"stem":931,"children":932,"page":59},"Інтернаціоналізація","i-lucide-languages","\u002Fcsharp\u002Faspnet\u002Fi18n","01.csharp\u002F11.aspnet\u002F05.i18n",[933,937],{"title":934,"path":935,"stem":936},"Інтернаціоналізація (i18n) у Minimal API: від A до Я","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Finternationalization","01.csharp\u002F11.aspnet\u002F05.i18n\u002F01.internationalization",{"title":938,"path":939,"stem":940},"Humanizer: людиномовні рядки у .NET","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Fhumanizer","01.csharp\u002F11.aspnet\u002F05.i18n\u002F02.humanizer",{"title":942,"icon":943,"path":944,"stem":945,"children":946,"page":59},"Кешування","i-lucide-layers","\u002Fcsharp\u002Faspnet\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching",[947,951,955,959,963],{"title":948,"path":949,"stem":950},"Огляд кешування: чотири рівні і коли що обирати","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching\u002F01.caching",{"title":952,"path":953,"stem":954},"IMemoryCache: кеш в оперативній пам'яті","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fmemory-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F02.memory-cache",{"title":956,"path":957,"stem":958},"IDistributedCache і Redis: розподілений кеш","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fdistributed-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F03.distributed-cache",{"title":960,"path":961,"stem":962},"Response Cache: HTTP-кешування через Cache-Control","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fresponse-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F04.response-cache",{"title":964,"path":965,"stem":966},"Output Cache: серверний кеш HTTP-відповідей (.NET 7+)","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Foutput-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F05.output-cache",{"title":968,"icon":969,"path":970,"stem":971,"children":972,"page":59},"Тестування","i-lucide-test-tube","\u002Fcsharp\u002Faspnet\u002Ftesting","01.csharp\u002F11.aspnet\u002F07.testing",[973,977,981,985,989,993,997,1001,1005,1009,1013,1017,1021,1025,1029,1033,1037,1041,1045,1049,1053],{"title":974,"path":975,"stem":976},"Що таке тестування? Від інтуїції до науки","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-is-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F01.what-is-testing",{"title":978,"path":979,"stem":980},"Піраміда тестування — Стратегія, а не Догма","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-pyramid","01.csharp\u002F11.aspnet\u002F07.testing\u002F02.testing-pyramid",{"title":982,"path":983,"stem":984},"Дві Школи Тестування — Лондон проти Детройту","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-schools","01.csharp\u002F11.aspnet\u002F07.testing\u002F03.testing-schools",{"title":986,"path":987,"stem":988},"TDD та BDD — Тести як Дизайн-інструмент","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftdd-and-bdd","01.csharp\u002F11.aspnet\u002F07.testing\u002F04.tdd-and-bdd",{"title":990,"path":991,"stem":992},"Що саме тестувати — Техніки аналізу та Циклomatична складність","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-to-test","01.csharp\u002F11.aspnet\u002F07.testing\u002F05.what-to-test",{"title":994,"path":995,"stem":996},"Тестові Фреймворки — Навіщо вони і що всередині","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftest-frameworks","01.csharp\u002F11.aspnet\u002F07.testing\u002F06.test-frameworks",{"title":998,"path":999,"stem":1000},"xUnit — Факти, Теорії та Lifecycle тестів","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-basics","01.csharp\u002F11.aspnet\u002F07.testing\u002F07.xunit-basics",{"title":1002,"path":1003,"stem":1004},"xUnit Advanced — Fixtures, Кастомізація та Розширення","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F08.xunit-advanced",{"title":1006,"path":1007,"stem":1008},"Moq — Глибоке занурення в мокування","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fmocking-with-moq","01.csharp\u002F11.aspnet\u002F07.testing\u002F09.mocking-with-moq",{"title":1010,"path":1011,"stem":1012},"Тестування Баз Даних — EF Core, SQLite та Testcontainers","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fdatabase-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F10.database-testing",{"title":1014,"path":1015,"stem":1016},"Integration Testing — Частина 1 [Теорія та WebApplicationFactory]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F11.integration-testing",{"title":1018,"path":1019,"stem":1020},"Інтеграційне тестування — Практика","\u002Fcsharp\u002Faspnet\u002Ftesting\u002F11a.integration-testing-practice","01.csharp\u002F11.aspnet\u002F07.testing\u002F11a.integration-testing-practice",{"title":1022,"path":1023,"stem":1024},"Integration Testing — Частина 2 [Просунуті Сценарії та Testcontainers]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F12.integration-testing-advanced",{"title":1026,"path":1027,"stem":1028},"Професійний Postman: Колекції, Змінні та GitHub Інтеграція","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fpostman-professional","01.csharp\u002F11.aspnet\u002F07.testing\u002F13.postman-professional",{"title":1030,"path":1031,"stem":1032},"HttpClient у Тестах Частина 1: Архітектура та MockHttpMessageHandler","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fhttpclient-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F14.httpclient-testing",{"title":1034,"path":1035,"stem":1036},"HttpClient у Тестах Частина 2: WireMock.Net та Resilience","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwiremock-net","01.csharp\u002F11.aspnet\u002F07.testing\u002F15.wiremock-net",{"title":1038,"path":1039,"stem":1040},"Патерни та Анти-патерни Тестування: Test Smells","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-patterns","01.csharp\u002F11.aspnet\u002F07.testing\u002F16.testing-patterns",{"title":1042,"path":1043,"stem":1044},"Просунуті інструменти: Time, Snapshots та Властивості","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fadvanced-testing-tools","01.csharp\u002F11.aspnet\u002F07.testing\u002F17.advanced-testing-tools",{"title":1046,"path":1047,"stem":1048},"Тестування Архітектури з NetArchTest","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Farchitecture-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F18.architecture-testing",{"title":1050,"path":1051,"stem":1052},"Тестування Продуктивності: BenchmarkDotNet, NBomber та k6","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fperformance-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F19.performance-testing",{"title":1054,"path":1055,"stem":1056},"Залишок плану для курсу \"Тестування ASP.NET Minimal API\"","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fremaining_plan","01.csharp\u002F11.aspnet\u002F07.testing\u002Fremaining_plan",{"title":1058,"icon":1059,"path":1060,"stem":1061,"children":1062,"page":59},"Платежі","i-lucide-credit-card","\u002Fcsharp\u002Faspnet\u002Fpayments","01.csharp\u002F11.aspnet\u002F08.payments",[1063,1067,1071,1075,1079,1083,1087,1091,1095,1099,1103,1107],{"title":1064,"path":1065,"stem":1066},"Основи платіжної інфраструктури","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-fundamentals","01.csharp\u002F11.aspnet\u002F08.payments\u002F01.payment-fundamentals",{"title":1068,"path":1069,"stem":1070},"Методи оплати в Україні","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-methods-ukraine","01.csharp\u002F11.aspnet\u002F08.payments\u002F02.payment-methods-ukraine",{"title":1072,"path":1073,"stem":1074},"PCI DSS та безпека платежів","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpci-dss-security","01.csharp\u002F11.aspnet\u002F08.payments\u002F03.pci-dss-security",{"title":1076,"path":1077,"stem":1078},"Архітектура платіжної підсистеми","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-architecture","01.csharp\u002F11.aspnet\u002F08.payments\u002F04.payment-architecture",{"title":1080,"path":1081,"stem":1082},"Інтеграція LiqPay (ПриватБанк)","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fliqpay-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F05.liqpay-integration",{"title":1084,"path":1085,"stem":1086},"Інтеграція Monobank Acquiring API","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fmonobank-acquiring","01.csharp\u002F11.aspnet\u002F08.payments\u002F06.monobank-acquiring",{"title":1088,"path":1089,"stem":1090},"Інтеграція Stripe","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fstripe-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F07.stripe-integration",{"title":1092,"path":1093,"stem":1094},"Webhooks — глибоке занурення","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fwebhooks-deep-dive","01.csharp\u002F11.aspnet\u002F08.payments\u002F08.webhooks-deep-dive",{"title":1096,"path":1097,"stem":1098},"Підписки та рекурентні платежі","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fsubscriptions-recurring","01.csharp\u002F11.aspnet\u002F08.payments\u002F09.subscriptions-recurring",{"title":1100,"path":1101,"stem":1102},"Повернення коштів та диспути","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Frefunds-disputes","01.csharp\u002F11.aspnet\u002F08.payments\u002F10.refunds-disputes",{"title":1104,"path":1105,"stem":1106},"Тестування платіжних інтеграцій","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Ftesting-payments","01.csharp\u002F11.aspnet\u002F08.payments\u002F11.testing-payments",{"title":1108,"path":1109,"stem":1110},"Чекліст виходу в Production","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fproduction-checklist","01.csharp\u002F11.aspnet\u002F08.payments\u002F12.production-checklist",{"title":1112,"icon":1113,"items":1114,"path":1127,"stem":1128,"children":1129,"page":59},"Популярні бібліотеки","lucide:box",[1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126],"01.fluent-validation","02.mapster","03.erroror-result-pattern","04.serilog","05.mediatr","06.polly","07.health-checks","08.feature-management","09.fluent-email","10.quest-pdf","11.bogus","12.humanizer-guard","\u002Fcsharp\u002Faspnet\u002Flibraries","01.csharp\u002F11.aspnet\u002F09.libraries",[1130,1134,1138,1142,1146,1150,1154,1158,1162,1166,1170,1174,1178],{"title":1131,"path":1132,"stem":1133},"Валідація з FluentValidation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-validation","01.csharp\u002F11.aspnet\u002F09.libraries\u002F01.fluent-validation",{"title":1135,"path":1136,"stem":1137},"Маппінг об","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmapster","01.csharp\u002F11.aspnet\u002F09.libraries\u002F02.mapster",{"title":1139,"path":1140,"stem":1141},"Обробка помилок з ErrorOr та Result Pattern в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ferroror-result-pattern","01.csharp\u002F11.aspnet\u002F09.libraries\u002F03.erroror-result-pattern",{"title":1143,"path":1144,"stem":1145},"Структуроване логування з Serilog в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fserilog","01.csharp\u002F11.aspnet\u002F09.libraries\u002F04.serilog",{"title":1147,"path":1148,"stem":1149},"CQRS та Mediator з MediatR в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmediatr","01.csharp\u002F11.aspnet\u002F09.libraries\u002F05.mediatr",{"title":1151,"path":1152,"stem":1153},"Відмовостійкість з Polly в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fpolly","01.csharp\u002F11.aspnet\u002F09.libraries\u002F06.polly",{"title":1155,"path":1156,"stem":1157},"Health Checks в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F09.libraries\u002F07.health-checks",{"title":1159,"path":1160,"stem":1161},"Feature Management та Feature Flags в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffeature-management","01.csharp\u002F11.aspnet\u002F09.libraries\u002F08.feature-management",{"title":1163,"path":1164,"stem":1165},"Відправка Email з FluentEmail в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-email","01.csharp\u002F11.aspnet\u002F09.libraries\u002F09.fluent-email",{"title":1167,"path":1168,"stem":1169},"Генерація PDF з QuestPDF в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fquest-pdf","01.csharp\u002F11.aspnet\u002F09.libraries\u002F10.quest-pdf",{"title":1171,"path":1172,"stem":1173},"Генерація тестових даних з Bogus в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fbogus","01.csharp\u002F11.aspnet\u002F09.libraries\u002F11.bogus",{"title":1175,"path":1176,"stem":1177},"Humanizer та Guard Clauses в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhumanizer-guard","01.csharp\u002F11.aspnet\u002F09.libraries\u002F12.humanizer-guard",{"title":1179,"path":1180,"stem":1181},"План модуля 10.libraries — Популярні бібліотеки ASP.NET","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fplan","01.csharp\u002F11.aspnet\u002F09.libraries\u002Fplan",{"title":1183,"icon":1184,"path":1185,"stem":1186,"children":1187,"page":59},"Razor Pages","i-lucide-layout-template","\u002Fcsharp\u002Faspnet\u002Frazor-pages","01.csharp\u002F11.aspnet\u002F10.razor-pages",[1188,1192,1196,1200,1204,1208],{"title":1189,"path":1190,"stem":1191},"Від Minimal API до Razor Pages: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ffrom-minimal-api","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F01.from-minimal-api",{"title":1193,"path":1194,"stem":1195},"PageModel: логіка сторінки Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fpage-model","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F02.page-model",{"title":1197,"path":1198,"stem":1199},"Razor синтаксис: шаблонізатор у .cshtml","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Frazor-syntax","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F03.razor-syntax",{"title":1201,"path":1202,"stem":1203},"Tag Helpers: типізований HTML","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ftag-helpers","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F04.tag-helpers",{"title":1205,"path":1206,"stem":1207},"Форми і валідація: повний цикл обробки даних","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fforms-validation","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F05.forms-validation",{"title":1209,"path":1210,"stem":1211},"Практичний проєкт: TaskManager на Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fproject-task-manager","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F06.project-task-manager",{"title":1213,"path":1214,"stem":1215,"children":1216,"page":59},"ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc","01.csharp\u002F11.aspnet\u002F11.mvc",[1217,1221,1225,1229,1233,1237,1241,1245,1249,1253,1257,1261,1265,1269,1273,1277,1281,1285],{"title":1218,"path":1219,"stem":1220},"Патерн MVC: архітектура, що змінила веб","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-pattern","01.csharp\u002F11.aspnet\u002F11.mvc\u002F01.mvc-pattern",{"title":1222,"path":1223,"stem":1224},"Від Razor Pages до MVC: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffrom-razor-pages","01.csharp\u002F11.aspnet\u002F11.mvc\u002F02.from-razor-pages",{"title":1226,"path":1227,"stem":1228},"Controllers та Actions: серце MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fcontrollers-actions","01.csharp\u002F11.aspnet\u002F11.mvc\u002F03.controllers-actions",{"title":1230,"path":1231,"stem":1232},"Маршрутизація в MVC: Convention vs Attribute Routing","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Frouting-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F04.routing-mvc",{"title":1234,"path":1235,"stem":1236},"Model Binding: від HTTP до C#","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmodel-binding","01.csharp\u002F11.aspnet\u002F11.mvc\u002F05.model-binding",{"title":1238,"path":1239,"stem":1240},"Views, ViewData, ViewBag, TempData і ViewModel","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fviews-viewdata-tempdata","01.csharp\u002F11.aspnet\u002F11.mvc\u002F06.views-viewdata-tempdata",{"title":1242,"path":1243,"stem":1244},"Filters: аспектно-орієнтоване програмування в MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffilters","01.csharp\u002F11.aspnet\u002F11.mvc\u002F07.filters",{"title":1246,"path":1247,"stem":1248},"Areas: структурування великих застосунків","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fareas","01.csharp\u002F11.aspnet\u002F11.mvc\u002F08.areas",{"title":1250,"path":1251,"stem":1252},"View Components: повторювані незалежні блоки UI","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fview-components","01.csharp\u002F11.aspnet\u002F11.mvc\u002F09.view-components",{"title":1254,"path":1255,"stem":1256},"Display та Editor Templates","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fdisplay-editor-templates","01.csharp\u002F11.aspnet\u002F11.mvc\u002F10.display-editor-templates",{"title":1258,"path":1259,"stem":1260},"Валідація: IValidatableObject та FluentValidation","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fvalidation-advanced","01.csharp\u002F11.aspnet\u002F11.mvc\u002F11.validation-advanced",{"title":1262,"path":1263,"stem":1264},"HTMX: інтерактивність через HTML-атрибути","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx","01.csharp\u002F11.aspnet\u002F11.mvc\u002F12.htmx",{"title":1266,"path":1267,"stem":1268},"HTMX у ASP.NET Core MVC: серверна інтеграція","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fajax-htmx-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F13.ajax-htmx-mvc",{"title":1270,"path":1271,"stem":1272},"Практичний проєкт: Каталог товарів з HTMX","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F14.htmx-project",{"title":1274,"path":1275,"stem":1276},"Завантаження та обробка файлів","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffile-upload","01.csharp\u002F11.aspnet\u002F11.mvc\u002F15.file-upload",{"title":1278,"path":1279,"stem":1280},"Глобалізація та Локалізація MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fglobalization-localization","01.csharp\u002F11.aspnet\u002F11.mvc\u002F16.globalization-localization",{"title":1282,"path":1283,"stem":1284},"Підсумковий проєкт: Блог-платформа","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F17.mvc-project",{"title":1286,"path":1287,"stem":1288},"План курсу: ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fplan","01.csharp\u002F11.aspnet\u002F11.mvc\u002Fplan",{"title":1290,"path":1291,"stem":1292,"children":1293,"page":59},"Web Api","\u002Fcsharp\u002Faspnet\u002Fweb-api","01.csharp\u002F11.aspnet\u002F12.web-api",[1294,1298,1302,1306,1310,1314,1318,1322,1326,1330,1334,1338,1342],{"title":1295,"path":1296,"stem":1297},"Від Minimal API до Controller-based API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffrom-minimal-api-to-controllers","01.csharp\u002F11.aspnet\u002F12.web-api\u002F01.from-minimal-api-to-controllers",{"title":1299,"path":1300,"stem":1301},"ControllerBase, ActionResult\u003CT> та Response Types","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontroller-base-actionresult","01.csharp\u002F11.aspnet\u002F12.web-api\u002F02.controller-base-actionresult",{"title":1303,"path":1304,"stem":1305},"Content Negotiation - JSON, XML та власні форматери","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontent-negotiation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F03.content-negotiation",{"title":1307,"path":1308,"stem":1309},"Версіонування API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-versioning","01.csharp\u002F11.aspnet\u002F12.web-api\u002F04.api-versioning",{"title":1311,"path":1312,"stem":1313},"ProblemDetails та структурована обробка помилок","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fproblemdetails-error-handling","01.csharp\u002F11.aspnet\u002F12.web-api\u002F05.problemdetails-error-handling",{"title":1315,"path":1316,"stem":1317},"Фільтри у Web API контексті","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffilters-for-api","01.csharp\u002F11.aspnet\u002F12.web-api\u002F06.filters-for-api",{"title":1319,"path":1320,"stem":1321},"Пагінація, фільтрація та сортування","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fpagination-filtering-sorting","01.csharp\u002F11.aspnet\u002F12.web-api\u002F07.pagination-filtering-sorting",{"title":1323,"path":1324,"stem":1325},"HATEOAS та Resource Expansion","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhateoas-resource-expansion","01.csharp\u002F11.aspnet\u002F12.web-api\u002F08.hateoas-resource-expansion",{"title":1327,"path":1328,"stem":1329},"Гібридна архітектура - Minimal API + Controllers","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fminimal-api-vs-controllers-hybrid","01.csharp\u002F11.aspnet\u002F12.web-api\u002F09.minimal-api-vs-controllers-hybrid",{"title":1331,"path":1332,"stem":1333},"Документація API - Swashbuckle, NSwag та генерація клієнтів","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-documentation-generation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F10.api-documentation-generation",{"title":1335,"path":1336,"stem":1337},"Health Checks та моніторинг API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhealth-checks-monitoring","01.csharp\u002F11.aspnet\u002F12.web-api\u002F11.health-checks-monitoring",{"title":1339,"path":1340,"stem":1341},"Підсумковий проєкт - Production-Ready REST API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fweb-api-project","01.csharp\u002F11.aspnet\u002F12.web-api\u002F12.web-api-project",{"title":1343,"path":1344,"stem":1345},"План курсу: ASP.NET Core Web API (Controllers)","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fplan","01.csharp\u002F11.aspnet\u002F12.web-api\u002Fplan",{"title":1347,"icon":1348,"path":1349,"stem":1350,"children":1351,"page":59},"Моніторинг","i-lucide-activity","\u002Fcsharp\u002Faspnet\u002Fmonitoring","01.csharp\u002F11.aspnet\u002F13.monitoring",[1352,1356,1360],{"title":1353,"path":1354,"stem":1355},"Спостережуваність: від console.log до production-систем","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fobservability-intro","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F01.observability-intro",{"title":1357,"path":1358,"stem":1359},"Health Checks: перший рівень observability","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F02.health-checks",{"title":1361,"path":1362,"stem":1363},"Вбудовані метрики .NET 10 та System.Diagnostics.Metrics","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fdotnet-metrics","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F03.dotnet-metrics",{"title":1365,"icon":1366,"path":1367,"stem":1368,"children":1369,"page":59},"Desktop UI","i-lucide-app-window","\u002Fcsharp\u002Fdesktop-ui","01.csharp\u002F12.desktop-ui",[1370,1374,1378,1382,1386,1390,1394,1398,1402,1406,1410,1414,1418,1422,1426,1430,1434,1438,1442,1446,1450,1454,1458,1462,1466,1470,1474,1478,1482,1486,1490,1494,1498,1502,1506,1510,1514,1518,1522,1526,1530,1534,1538,1542,1546,1550,1554,1558,1562,1566,1570,1574,1578,1582,1586,1590,1594,1598,1602,1606,1610,1614,1618,1622,1626,1630,1634,1638,1642,1646,1650],{"title":1371,"path":1372,"stem":1373},"Що таке десктопна розробка?","\u002Fcsharp\u002Fdesktop-ui\u002Fwhat-is-desktop-dev","01.csharp\u002F12.desktop-ui\u002F01.what-is-desktop-dev",{"title":1375,"path":1376,"stem":1377},"Архітектура WPF — як влаштований графічний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-architecture","01.csharp\u002F12.desktop-ui\u002F02.wpf-architecture",{"title":1379,"path":1380,"stem":1381},"Перший WPF-проєкт — від нуля до вікна","\u002Fcsharp\u002Fdesktop-ui\u002Ffirst-wpf-app","01.csharp\u002F12.desktop-ui\u002F03.first-wpf-app",{"title":1383,"path":1384,"stem":1385},"Перший Avalonia-проєкт: WPF для всіх платформ","\u002Fcsharp\u002Fdesktop-ui\u002F03a.first-avalonia-app","01.csharp\u002F12.desktop-ui\u002F03a.first-avalonia-app",{"title":1387,"path":1388,"stem":1389},"XAML: декларативний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-basics","01.csharp\u002F12.desktop-ui\u002F04.xaml-basics",{"title":1391,"path":1392,"stem":1393},"Fluent UI у WPF — сучасний дизайн Windows 11","\u002Fcsharp\u002Fdesktop-ui\u002F04a.wpf-fluent-ui","01.csharp\u002F12.desktop-ui\u002F04a.wpf-fluent-ui",{"title":1395,"path":1396,"stem":1397},"WPF UI — сучасна бібліотека Fluent контролів","\u002Fcsharp\u002Fdesktop-ui\u002F04b.wpf-ui-library","01.csharp\u002F12.desktop-ui\u002F04b.wpf-ui-library",{"title":1399,"path":1400,"stem":1401},"HandyControl — велика бібліотека UI контролів для WPF","\u002Fcsharp\u002Fdesktop-ui\u002F04c.handycontrol-library","01.csharp\u002F12.desktop-ui\u002F04c.handycontrol-library",{"title":1403,"path":1404,"stem":1405},"Простори імен та ресурси XAML","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-namespaces-resources","01.csharp\u002F12.desktop-ui\u002F05.xaml-namespaces-resources",{"title":1407,"path":1408,"stem":1409},"XAML в Avalonia: ключові відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F05a.avalonia-xaml-differences","01.csharp\u002F12.desktop-ui\u002F05a.avalonia-xaml-differences",{"title":1411,"path":1412,"stem":1413},"Розширення розмітки XAML (Markup Extensions)","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-markup-extensions","01.csharp\u002F12.desktop-ui\u002F06.xaml-markup-extensions",{"title":1415,"path":1416,"stem":1417},"Панелі Layout: StackPanel, WrapPanel, DockPanel","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part1","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part1",{"title":1419,"path":1420,"stem":1421},"Grid, Canvas, UniformGrid","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part2","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part2",{"title":1423,"path":1424,"stem":1425},"Просунуті техніки Layout","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-advanced","01.csharp\u002F12.desktop-ui\u002F08.layout-advanced",{"title":1427,"path":1428,"stem":1429},"Адаптивний Layout та найкращі практики","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-responsive","01.csharp\u002F12.desktop-ui\u002F09.layout-responsive",{"title":1431,"path":1432,"stem":1433},"Layout в Avalonia: відмінності та нові можливості","\u002Fcsharp\u002Fdesktop-ui\u002F09a.layout-avalonia","01.csharp\u002F12.desktop-ui\u002F09a.layout-avalonia",{"title":1435,"path":1436,"stem":1437},"Button, Image, ProgressBar та інші базові контроли","\u002Fcsharp\u002Fdesktop-ui\u002Fbasic-controls","01.csharp\u002F12.desktop-ui\u002F10.basic-controls",{"title":1439,"path":1440,"stem":1441},"Контроли в Avalonia: відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F10a.controls-avalonia","01.csharp\u002F12.desktop-ui\u002F10a.controls-avalonia",{"title":1443,"path":1444,"stem":1445},"Текстові контроли — TextBlock, TextBox, RichTextBox","\u002Fcsharp\u002Fdesktop-ui\u002Ftext-controls","01.csharp\u002F12.desktop-ui\u002F11.text-controls",{"title":1447,"path":1448,"stem":1449},"Контроли вибору — CheckBox, RadioButton, ComboBox, ListBox, DatePicker","\u002Fcsharp\u002Fdesktop-ui\u002Fselection-controls","01.csharp\u002F12.desktop-ui\u002F12.selection-controls",{"title":1451,"path":1452,"stem":1453},"Content Model — GroupBox, Expander, TabControl, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fcontent-controls","01.csharp\u002F12.desktop-ui\u002F13.content-controls",{"title":1455,"path":1456,"stem":1457},"UI\u002FUX принципи десктопних застосунків","\u002Fcsharp\u002Fdesktop-ui\u002F13a.ui-ux-principles","01.csharp\u002F12.desktop-ui\u002F13a.ui-ux-principles",{"title":1459,"path":1460,"stem":1461},"Dependency Properties — Концепція та Value Resolution","\u002Fcsharp\u002Fdesktop-ui\u002Fdependency-properties-part1","01.csharp\u002F12.desktop-ui\u002F14.dependency-properties-part1",{"title":1463,"path":1464,"stem":1465},"Avalonia Property System — StyledProperty та DirectProperty","\u002Fcsharp\u002Fdesktop-ui\u002F14a.avalonia-property-system","01.csharp\u002F12.desktop-ui\u002F14a.avalonia-property-system",{"title":1467,"path":1468,"stem":1469},"Attached Properties — Властивості без меж","\u002Fcsharp\u002Fdesktop-ui\u002Fattached-properties","01.csharp\u002F12.desktop-ui\u002F15.attached-properties",{"title":1471,"path":1472,"stem":1473},"Routed Events — Маршрутизація подій у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Frouted-events","01.csharp\u002F12.desktop-ui\u002F16.routed-events",{"title":1475,"path":1476,"stem":1477},"Data Binding — Від Code-Behind до Декларативності","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part1","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part1",{"title":1479,"path":1480,"stem":1481},"INotifyPropertyChanged — Живе оновлення UI","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part2","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part2",{"title":1483,"path":1484,"stem":1485},"Compiled Bindings в Avalonia — Безпека на етапі компіляції","\u002Fcsharp\u002Fdesktop-ui\u002F17a.avalonia-compiled-bindings","01.csharp\u002F12.desktop-ui\u002F17a.avalonia-compiled-bindings",{"title":1487,"path":1488,"stem":1489},"Просунутий Data Binding — ElementName, RelativeSource, MultiBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-advanced","01.csharp\u002F12.desktop-ui\u002F18.data-binding-advanced",{"title":1491,"path":1492,"stem":1493},"Value Converters — Перетворення типів даних у Data Binding","\u002Fcsharp\u002Fdesktop-ui\u002Fvalue-converters","01.csharp\u002F12.desktop-ui\u002F19.value-converters",{"title":1495,"path":1496,"stem":1497},"Data Templates — Візуалізація об'єктів у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-templates","01.csharp\u002F12.desktop-ui\u002F20.data-templates",{"title":1499,"path":1500,"stem":1501},"Collections Binding Part 1 — ObservableCollection та ItemsControl","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part1","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part1",{"title":1503,"path":1504,"stem":1505},"Collections Binding Part 2 — ICollectionView, Filtering, Sorting та Virtualization","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part2","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part2",{"title":1507,"path":1508,"stem":1509},"MVVM Pattern — Від Spaghetti Code до архітектури","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-pattern","01.csharp\u002F12.desktop-ui\u002F22.mvvm-pattern",{"title":1511,"path":1512,"stem":1513},"ViewModel Implementation — Від BaseViewModel до валідації","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-implementation","01.csharp\u002F12.desktop-ui\u002F23.viewmodel-implementation",{"title":1515,"path":1516,"stem":1517},"Commands — Від event handlers до декларативних команд","\u002Fcsharp\u002Fdesktop-ui\u002Fcommands","01.csharp\u002F12.desktop-ui\u002F24.commands",{"title":1519,"path":1520,"stem":1521},"MVVM Toolkit — MVVM без boilerplate через Source Generators","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-toolkit","01.csharp\u002F12.desktop-ui\u002F25.mvvm-toolkit",{"title":1523,"path":1524,"stem":1525},"Messenger Pattern — Комунікація між ViewModel без прямих посилань","\u002Fcsharp\u002Fdesktop-ui\u002Fmessenger-pattern","01.csharp\u002F12.desktop-ui\u002F26.messenger-pattern",{"title":1527,"path":1528,"stem":1529},"Стилі WPF — CSS для десктопу","\u002Fcsharp\u002Fdesktop-ui\u002Fstyles-basics","01.csharp\u002F12.desktop-ui\u002F27.styles-basics",{"title":1531,"path":1532,"stem":1533},"CSS-like стилі Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F27a.avalonia-css-styling","01.csharp\u002F12.desktop-ui\u002F27a.avalonia-css-styling",{"title":1535,"path":1536,"stem":1537},"Control Templates — Частина 1. Концепція та TemplateBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part1","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part1",{"title":1539,"path":1540,"stem":1541},"Control Templates — Частина 2. Named Parts та ContentPresenter","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part2","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part2",{"title":1543,"path":1544,"stem":1545},"Control Themes в Avalonia — нова ера стилізації","\u002Fcsharp\u002Fdesktop-ui\u002F28a.avalonia-control-themes","01.csharp\u002F12.desktop-ui\u002F28a.avalonia-control-themes",{"title":1547,"path":1548,"stem":1549},"Triggers та Visual State Manager у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Ftriggers-visual-states","01.csharp\u002F12.desktop-ui\u002F29.triggers-visual-states",{"title":1551,"path":1552,"stem":1553},"Pseudo-classes в Avalonia — замість WPF Triggers","\u002Fcsharp\u002Fdesktop-ui\u002F29a.avalonia-pseudo-classes","01.csharp\u002F12.desktop-ui\u002F29a.avalonia-pseudo-classes",{"title":1555,"path":1556,"stem":1557},"Теми та ресурсні словники у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fresources-themes","01.csharp\u002F12.desktop-ui\u002F30.resources-themes",{"title":1559,"path":1560,"stem":1561},"Avalonia Themes — Fluent Design та система тематизації","\u002Fcsharp\u002Fdesktop-ui\u002F30a.avalonia-themes-fluent","01.csharp\u002F12.desktop-ui\u002F30a.avalonia-themes-fluent",{"title":1563,"path":1564,"stem":1565},"Контроли колекцій — глибоке занурення","\u002Fcsharp\u002Fdesktop-ui\u002Fcollection-controls","01.csharp\u002F12.desktop-ui\u002F31.collection-controls",{"title":1567,"path":1568,"stem":1569},"DataGrid — колонки та базове відображення","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part1","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part1",{"title":1571,"path":1572,"stem":1573},"DataGrid — сортування, фільтрація, редагування","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part2","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part2",{"title":1575,"path":1576,"stem":1577},"TreeView та GridView","\u002Fcsharp\u002Fdesktop-ui\u002Ftreeview-listview","01.csharp\u002F12.desktop-ui\u002F33.treeview-listview",{"title":1579,"path":1580,"stem":1581},"Меню, Toolbar, ContextMenu, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fmenus-toolbars","01.csharp\u002F12.desktop-ui\u002F34.menus-toolbars",{"title":1583,"path":1584,"stem":1585},"Навігація та керування вікнами. Частина 1: вікна та сторінки","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part1","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part1",{"title":1587,"path":1588,"stem":1589},"Навігація та керування вікнами. Частина 2: MVVM-навігація","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part2","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part2",{"title":1591,"path":1592,"stem":1593},"Avalonia — Навігація та діалоги","\u002Fcsharp\u002Fdesktop-ui\u002F35a.avalonia-navigation-dialogs","01.csharp\u002F12.desktop-ui\u002F35a.avalonia-navigation-dialogs",{"title":1595,"path":1596,"stem":1597},"Діалоги та File Pickers у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdialogs-file-pickers","01.csharp\u002F12.desktop-ui\u002F36.dialogs-file-pickers",{"title":1599,"path":1600,"stem":1601},"UserControl: компонентний підхід у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fuser-controls","01.csharp\u002F12.desktop-ui\u002F37.user-controls",{"title":1603,"path":1604,"stem":1605},"Custom Controls: Lookless Controls у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fcustom-controls","01.csharp\u002F12.desktop-ui\u002F38.custom-controls",{"title":1607,"path":1608,"stem":1609},"Avalonia TemplatedControl — Lookless Controls","\u002Fcsharp\u002Fdesktop-ui\u002F38a.avalonia-templated-controls","01.csharp\u002F12.desktop-ui\u002F38a.avalonia-templated-controls",{"title":1611,"path":1612,"stem":1613},"Анімації у WPF: Storyboard та Easing Functions","\u002Fcsharp\u002Fdesktop-ui\u002Fanimations-transitions","01.csharp\u002F12.desktop-ui\u002F39.animations-transitions",{"title":1615,"path":1616,"stem":1617},"Анімації в Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F39a.avalonia-animations","01.csharp\u002F12.desktop-ui\u002F39a.avalonia-animations",{"title":1619,"path":1620,"stem":1621},"2D Графіка та Мультимедіа у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fmedia-graphics","01.csharp\u002F12.desktop-ui\u002F40.media-graphics",{"title":1623,"path":1624,"stem":1625},"Dependency Injection у WPF та Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Fdi-integration","01.csharp\u002F12.desktop-ui\u002F41.di-integration",{"title":1627,"path":1628,"stem":1629},"SQLite та EF Core у десктопних додатках","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part1","01.csharp\u002F12.desktop-ui\u002F42.data-persistence-part1",{"title":1631,"path":1632,"stem":1633},"Repository Pattern та Unit of Work","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part2","01.csharp\u002F12.desktop-ui\u002F43.data-persistence-part2",{"title":1635,"path":1636,"stem":1637},"Тестування ViewModels","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-testing","01.csharp\u002F12.desktop-ui\u002F44.viewmodel-testing",{"title":1639,"path":1640,"stem":1641},"Avalonia Headless Testing — тестування UI без вікон","\u002Fcsharp\u002Fdesktop-ui\u002F44a.avalonia-headless-testing","01.csharp\u002F12.desktop-ui\u002F44a.avalonia-headless-testing",{"title":1643,"path":1644,"stem":1645},"Кросплатформна розробка з Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-cross-platform","01.csharp\u002F12.desktop-ui\u002F45.avalonia-cross-platform",{"title":1647,"path":1648,"stem":1649},"Пакування та розгортання Avalonia додатків","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F46.avalonia-packaging-deployment",{"title":1651,"path":1652,"stem":1653},"Розгортання WPF застосунків","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F47.wpf-packaging-deployment",{"title":1655,"icon":658,"path":1656,"stem":1657,"children":1658,"page":59},"Network Programming","\u002Fcsharp\u002Fnetwork-programming","01.csharp\u002F13.network-programming",[1659,1663,1667,1671,1675,1679,1683,1687,1691,1695,1699],{"title":1660,"path":1661,"stem":1662},"Основи комп'ютерних мереж","\u002Fcsharp\u002Fnetwork-programming\u002Ffoundations","01.csharp\u002F13.network-programming\u002F01.foundations",{"title":1664,"path":1665,"stem":1666},"Модель OSI та стек TCP\u002FIP","\u002Fcsharp\u002Fnetwork-programming\u002Fosi-model","01.csharp\u002F13.network-programming\u002F02.osi-model",{"title":1668,"path":1669,"stem":1670},"IP-протокол та адресація","\u002Fcsharp\u002Fnetwork-programming\u002Fip-addressing","01.csharp\u002F13.network-programming\u002F03.ip-addressing",{"title":1672,"path":1673,"stem":1674},"UDP — протокол без з'єднання","\u002Fcsharp\u002Fnetwork-programming\u002Fudp","01.csharp\u002F13.network-programming\u002F05.udp",{"title":1676,"path":1677,"stem":1678},"UDP Broadcast та Multicast","\u002Fcsharp\u002Fnetwork-programming\u002Fudp-broadcast-multicast","01.csharp\u002F13.network-programming\u002F06.udp-broadcast-multicast",{"title":1680,"path":1681,"stem":1682},"HTTP — протокол вебу","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-fundamentals","01.csharp\u002F13.network-programming\u002F07.http-fundamentals",{"title":1684,"path":1685,"stem":1686},"HttpListener — вбудований HTTP-сервер .NET","\u002Fcsharp\u002Fnetwork-programming\u002F07a.http-listener","01.csharp\u002F13.network-programming\u002F07a.http-listener",{"title":1688,"path":1689,"stem":1690},"HTTP Advanced — cookies, аутентифікація та HTTPS","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-advanced","01.csharp\u002F13.network-programming\u002F08.http-advanced",{"title":1692,"path":1693,"stem":1694},"SMTP та протоколи електронної пошти","\u002Fcsharp\u002Fnetwork-programming\u002Fsmtp","01.csharp\u002F13.network-programming\u002F09.smtp",{"title":1696,"path":1697,"stem":1698},"WebSocket — повнодуплексний протокол реального часу","\u002Fcsharp\u002Fnetwork-programming\u002Fwebsockets","01.csharp\u002F13.network-programming\u002F10.websockets",{"title":1700,"path":1701,"stem":1702},"TLS\u002FSSL — криптографічний захист мережевих з'єднань","\u002Fcsharp\u002Fnetwork-programming\u002Ftls-ssl","01.csharp\u002F13.network-programming\u002F11.tls-ssl",{"title":1704,"path":1705,"stem":1706},"C# & .NET: The Ultimate Roadmap","\u002Fcsharp\u002Froadmap","01.csharp\u002Froadmap",{"title":1708,"icon":1709,"path":1710,"stem":1711,"children":1712,"page":59},"C++","i-devicon-cplusplus","\u002Fcpp","02.cpp",[1713,1717,1721,1725,1729,1733,1737,1741,1745,1748,1752,1756,1760,1764,1768,1772,1776,1780,1784,1788,1792,1796,1800,1804,1808,1812,1816,1820,1824,1828,1832,1836,1840,1844,1848,1852,1856,1860,1864,1868,1872,1876,1880,1884,1888,1892,1896,1900,1904,1908,1912,1916,1920,1924,1928,1932,1936,1940,1944,1948,1952,1956,1960,1964,1968,1972,1976,1980,1984,1988,1992,1996,2000,2004,2008,2012,2016,2020,2024,2028,2032,2036,2040,2044,2048,2052,2056,2060,2064,2068,2072,2076,2080],{"title":1714,"path":1715,"stem":1716},"Вступ у програмування та алгоритми","\u002Fcpp\u002Fintro-algorithms","02.cpp\u002F01.intro-algorithms",{"title":1718,"path":1719,"stem":1720},"Code Style: угоди про оформлення коду","\u002Fcpp\u002Fcode-style","02.cpp\u002F02.code-style",{"title":1722,"path":1723,"stem":1724},"Середовище розробки та перший проєкт","\u002Fcpp\u002Fide-setup","02.cpp\u002F03.ide-setup",{"title":1726,"path":1727,"stem":1728},"Вивід даних на екран","\u002Fcpp\u002Fdata-output","02.cpp\u002F04.data-output",{"title":1730,"path":1731,"stem":1732},"Типи даних, змінні та константи","\u002Fcpp\u002Fdata-types-variables","02.cpp\u002F05.data-types-variables",{"title":1734,"path":1735,"stem":1736},"Ввід даних з клавіатури","\u002Fcpp\u002Fdata-input","02.cpp\u002F06.data-input",{"title":1738,"path":1739,"stem":1740},"Оператори, перетворення типів та логічні операції","\u002Fcpp\u002Foperators-type-conversion","02.cpp\u002F07.operators-type-conversion",{"title":1742,"path":1743,"stem":1744},"Цикли","\u002Fcpp\u002Floops","02.cpp\u002F08.loops",{"title":32,"path":1746,"stem":1747},"\u002Fcpp\u002Farrays","02.cpp\u002F09.arrays",{"title":1749,"path":1750,"stem":1751},"Алгоритми сортування та аналіз складності","\u002Fcpp\u002Fsorting","02.cpp\u002F10.sorting",{"title":1753,"path":1754,"stem":1755},"Алгоритми пошуку","\u002Fcpp\u002Fsearching","02.cpp\u002F11.searching",{"title":1757,"path":1758,"stem":1759},"Функції: основи","\u002Fcpp\u002Ffunctions-basics","02.cpp\u002F12.functions-basics",{"title":1761,"path":1762,"stem":1763},"Функції: прототипи, область видимості та додаткові можливості","\u002Fcpp\u002Ffunctions-scope","02.cpp\u002F13.functions-scope",{"title":1765,"path":1766,"stem":1767},"Функції: перевантаження та шаблони","\u002Fcpp\u002Ffunctions-overloading-templates","02.cpp\u002F14.functions-overloading-templates",{"title":1769,"path":1770,"stem":1771},"Вказівники: основи","\u002Fcpp\u002Fpointers-basics","02.cpp\u002F15.pointers-basics",{"title":1773,"path":1774,"stem":1775},"Посилання (References)","\u002Fcpp\u002Freferences","02.cpp\u002F16.references",{"title":1777,"path":1778,"stem":1779},"Вказівники, const і масиви","\u002Fcpp\u002Fpointers-const-arrays","02.cpp\u002F17.pointers-const-arrays",{"title":1781,"path":1782,"stem":1783},"Адресна арифметика","\u002Fcpp\u002Fpointer-arithmetic","02.cpp\u002F18.pointer-arithmetic",{"title":1785,"path":1786,"stem":1787},"Динамічна пам'ять","\u002Fcpp\u002Fdynamic-memory","02.cpp\u002F19.dynamic-memory",{"title":1789,"path":1790,"stem":1791},"Вказівники типу void","\u002Fcpp\u002Fvoid-pointers","02.cpp\u002F20.void-pointers",{"title":1793,"path":1794,"stem":1795},"Вказівники на вказівники","\u002Fcpp\u002Fpointers-to-pointers","02.cpp\u002F21.pointers-to-pointers",{"title":1797,"path":1798,"stem":1799},"Оператор доступу до членів через вказівник (->)","\u002Fcpp\u002Fmember-access-operator","02.cpp\u002F22.member-access-operator",{"title":1801,"path":1802,"stem":1803},"Цикл for-each (Range-based for)","\u002Fcpp\u002Fforeach-loop","02.cpp\u002F23.foreach-loop",{"title":1805,"path":1806,"stem":1807},"Вказівники на функції","\u002Fcpp\u002Ffunction-pointers","02.cpp\u002F24.function-pointers",{"title":1809,"path":1810,"stem":1811},"Лямбда-вирази","\u002Fcpp\u002Flambdas","02.cpp\u002F25.lambdas",{"title":1813,"path":1814,"stem":1815},"Лямбда-захоплення","\u002Fcpp\u002Flambda-captures","02.cpp\u002F26.lambda-captures",{"title":1817,"path":1818,"stem":1819},"Еліпсис","\u002Fcpp\u002Fellipsis","02.cpp\u002F27.ellipsis",{"title":1821,"path":1822,"stem":1823},"Безпечні альтернативи еліпсису","\u002Fcpp\u002F27a.ellipsis","02.cpp\u002F27a.ellipsis",{"title":1825,"path":1826,"stem":1827},"Аргументи командного рядка","\u002Fcpp\u002Fcommand-line-arguments","02.cpp\u002F28.command-line-arguments",{"title":1829,"path":1830,"stem":1831},"Перерахування (enum)","\u002Fcpp\u002Fenum","02.cpp\u002F29.enum",{"title":1833,"path":1834,"stem":1835},"Класи-перерахування (enum class)","\u002Fcpp\u002Fenum-class","02.cpp\u002F30.enum-class",{"title":1837,"path":1838,"stem":1839},"Псевдоніми типів (typedef і using)","\u002Fcpp\u002Ftype-aliases","02.cpp\u002F31.type-aliases",{"title":1841,"path":1842,"stem":1843},"Системи числення та двійкова арифметика","\u002Fcpp\u002Fnumber-systems","02.cpp\u002F32.number-systems",{"title":1845,"path":1846,"stem":1847},"Структури (struct): агрегування даних","\u002Fcpp\u002Fstruct","02.cpp\u002F33.struct",{"title":1849,"path":1850,"stem":1851},"Структури у функціях","\u002Fcpp\u002Fstruct-functions","02.cpp\u002F34.struct-functions",{"title":1853,"path":1854,"stem":1855},"Масиви структур і вкладені структури","\u002Fcpp\u002Fstruct-arrays","02.cpp\u002F35.struct-arrays",{"title":1857,"path":1858,"stem":1859},"Патерни struct та межі застосування","\u002Fcpp\u002Fstruct-patterns","02.cpp\u002F36.struct-patterns",{"title":1861,"path":1862,"stem":1863},"Символи та таблиця ASCII","\u002Fcpp\u002Fascii-characters","02.cpp\u002F37.ascii-characters",{"title":1865,"path":1866,"stem":1867},"Unicode та кодування UTF","\u002Fcpp\u002Funicode-utf","02.cpp\u002F38.unicode-utf",{"title":1869,"path":1870,"stem":1871},"C-style рядки","\u002Fcpp\u002Fc-strings","02.cpp\u002F39.c-strings",{"title":1873,"path":1874,"stem":1875},"Вступ до std::string","\u002Fcpp\u002Fstd-string-intro","02.cpp\u002F40.std-string-intro",{"title":1877,"path":1878,"stem":1879},"Довжина, ємність та доступ до символів std::string","\u002Fcpp\u002Fstd-string-capacity-access","02.cpp\u002F41.std-string-capacity-access",{"title":1881,"path":1882,"stem":1883},"Модифікація std::string: присвоювання, додавання, вставка, видалення та заміна","\u002Fcpp\u002Fstd-string-modification","02.cpp\u002F42.std-string-modification",{"title":1885,"path":1886,"stem":1887},"Пошук у std::string: find, npos та практичні патерни","\u002Fcpp\u002Fstd-string-search","02.cpp\u002F43.std-string-search",{"title":1889,"path":1890,"stem":1891},"std::string_view: невласницький погляд на рядок без копіювання","\u002Fcpp\u002Fstd-string-view","02.cpp\u002F44.std-string-view",{"title":1893,"path":1894,"stem":1895},"Об'єднання (union): один блок пам'яті, кілька інтерпретацій","\u002Fcpp\u002Funion","02.cpp\u002F45.union",{"title":1897,"path":1898,"stem":1899},"Організація коду: файли, препроцесор, простори імен","\u002Fcpp\u002Fmultifile-programs","02.cpp\u002F46.multifile-programs",{"title":1901,"path":1902,"stem":1903},"Робота з файлами: C-стиль (stdio.h)","\u002Fcpp\u002Fc-style-files","02.cpp\u002F47.c-style-files",{"title":1905,"path":1906,"stem":1907},"Робота з файлами: C++-стиль (fstream)","\u002Fcpp\u002Fcpp-style-files","02.cpp\u002F48.cpp-style-files",{"title":1909,"path":1910,"stem":1911},"Введення в ООП: від процедур до об'єктів","\u002Fcpp\u002Foop-intro","02.cpp\u002F49.oop-intro",{"title":1913,"path":1914,"stem":1915},"Класи, об'єкти та методи","\u002Fcpp\u002Fclasses-objects-methods","02.cpp\u002F50.classes-objects-methods",{"title":1917,"path":1918,"stem":1919},"Специфікатори доступу та інкапсуляція","\u002Fcpp\u002Faccess-specifiers-encapsulation","02.cpp\u002F51.access-specifiers-encapsulation",{"title":1921,"path":1922,"stem":1923},"Конструктори: гарантована ініціалізація об'єктів","\u002Fcpp\u002Fconstructors","02.cpp\u002F52.constructors",{"title":1925,"path":1926,"stem":1927},"Списки ініціалізації та делегуючі конструктори","\u002Fcpp\u002Finit-lists-delegating","02.cpp\u002F53.init-lists-delegating",{"title":1929,"path":1930,"stem":1931},"Деструктори та ідіома RAII","\u002Fcpp\u002Fdestructors-raii","02.cpp\u002F54.destructors-raii",{"title":1933,"path":1934,"stem":1935},"Прихований покажчик this","\u002Fcpp\u002Fthis-pointer","02.cpp\u002F55.this-pointer",{"title":1937,"path":1938,"stem":1939},"Розподіл класу на заголовковий файл та файл реалізації","\u002Fcpp\u002Fclass-header-source","02.cpp\u002F56.class-header-source",{"title":1941,"path":1942,"stem":1943},"Класи та const","\u002Fcpp\u002Fconst-classes","02.cpp\u002F57.const-classes",{"title":1945,"path":1946,"stem":1947},"Статичні члени класу","\u002Fcpp\u002Fstatic-members","02.cpp\u002F58.static-members",{"title":1949,"path":1950,"stem":1951},"Конструктор копіювання та запобігання копіюванню","\u002Fcpp\u002Fcopy-constructor","02.cpp\u002F59.copy-constructor",{"title":1953,"path":1954,"stem":1955},"Дружні функції та класи","\u002Fcpp\u002Ffriend-functions-classes","02.cpp\u002F60.friend-functions-classes",{"title":1957,"path":1958,"stem":1959},"Анонімні об'єкти та вкладені типи","\u002Fcpp\u002Fanonymous-objects-nested-types","02.cpp\u002F61.anonymous-objects-nested-types",{"title":1961,"path":1962,"stem":1963},"Вимірювання часу виконання: RAII-таймер","\u002Fcpp\u002Ftiming-raii-timer","02.cpp\u002F62.timing-raii-timer",{"title":1965,"path":1966,"stem":1967},"Перевантаження операторів: основи та арифметика","\u002Fcpp\u002Foperator-overloading-basics","02.cpp\u002F63.operator-overloading-basics",{"title":1969,"path":1970,"stem":1971},"Перевантаження операторів: методи класу та спеціальні оператори","\u002Fcpp\u002Foperator-overloading-methods","02.cpp\u002F64.operator-overloading-methods",{"title":1973,"path":1974,"stem":1975},"Приведення типів, explicit та delete","\u002Fcpp\u002Ftypecast-explicit-delete","02.cpp\u002F65.typecast-explicit-delete",{"title":1977,"path":1978,"stem":1979},"Глибоке копіювання та оператор присвоювання","\u002Fcpp\u002Fdeep-copy-assignment","02.cpp\u002F66.deep-copy-assignment",{"title":1981,"path":1982,"stem":1983},"Зв'язки між об'єктами: композиція та агрегація","\u002Fcpp\u002Fcomposition-aggregation","02.cpp\u002F67.composition-aggregation",{"title":1985,"path":1986,"stem":1987},"Асоціація та залежність між об","\u002Fcpp\u002Fassociation-dependency","02.cpp\u002F68.association-dependency",{"title":1989,"path":1990,"stem":1991},"Контейнерні класи та `std::initializer_list`","\u002Fcpp\u002Fcontainer-classes-initializer-list","02.cpp\u002F69.container-classes-initializer-list",{"title":1993,"path":1994,"stem":1995},"Вступ до наслідування: базові поняття та відношення «is-a»","\u002Fcpp\u002Finheritance-intro","02.cpp\u002F70.inheritance-intro",{"title":1997,"path":1998,"stem":1999},"Конструктори, деструктори та порядок ініціалізації в ієрархіях","\u002Fcpp\u002Finheritance-constructors-destructors","02.cpp\u002F71.inheritance-constructors-destructors",{"title":2001,"path":2002,"stem":2003},"Специфікатор `protected` та види наслідування","\u002Fcpp\u002Finheritance-access-specifiers","02.cpp\u002F72.inheritance-access-specifiers",{"title":2005,"path":2006,"stem":2007},"Перевизначення методів та приховування імен","\u002Fcpp\u002Fmethod-overriding-hiding","02.cpp\u002F73.method-overriding-hiding",{"title":2009,"path":2010,"stem":2011},"Множинне наслідування та проблема ромба","\u002Fcpp\u002Fmultiple-inheritance-diamond","02.cpp\u002F74.multiple-inheritance-diamond",{"title":2013,"path":2014,"stem":2015},"Вказівники на базовий клас та віртуальні функції","\u002Fcpp\u002Fvirtual-functions-polymorphism","02.cpp\u002F75.virtual-functions-polymorphism",{"title":2017,"path":2018,"stem":2019},"Специфікатори override, final та віртуальні деструктори","\u002Fcpp\u002Foverride-final-virtual-destructors","02.cpp\u002F76.override-final-virtual-destructors",{"title":2021,"path":2022,"stem":2023},"Внутрішні механізми поліморфізму: vtable, vptr та зв'язування","\u002Fcpp\u002Fvirtual-table-binding","02.cpp\u002F77.virtual-table-binding",{"title":2025,"path":2026,"stem":2027},"Абстрактні класи та чисті віртуальні функції","\u002Fcpp\u002Fabstract-classes-interfaces","02.cpp\u002F78.abstract-classes-interfaces",{"title":2029,"path":2030,"stem":2031},"Зрізка об'єктів, віртуальне наслідування та поліморфний вивід","\u002Fcpp\u002Fslicing-virtual-base-io","02.cpp\u002F79.slicing-virtual-base-io",{"title":2033,"path":2034,"stem":2035},"Динамічне приведення типів (`dynamic_cast`) та RTTI","\u002Fcpp\u002Fdynamic-cast-rtti","02.cpp\u002F80.dynamic-cast-rtti",{"title":2037,"path":2038,"stem":2039},"Шаблони функцій: узагальнене програмування","\u002Fcpp\u002Ffunction-templates","02.cpp\u002F81.function-templates",{"title":2041,"path":2042,"stem":2043},"Шаблони класів та NTTP-параметри","\u002Fcpp\u002Fclass-templates-nttp","02.cpp\u002F82.class-templates-nttp",{"title":2045,"path":2046,"stem":2047},"Повна (явна) спеціалізація шаблонів","\u002Fcpp\u002Ffull-template-specialization","02.cpp\u002F83.full-template-specialization",{"title":2049,"path":2050,"stem":2051},"Часткова спеціалізація шаблонів класів","\u002Fcpp\u002Fpartial-template-specialization","02.cpp\u002F84.partial-template-specialization",{"title":2053,"path":2054,"stem":2055},"Механізм винятків: try, catch, throw та розкручування стеку","\u002Fcpp\u002Fexceptions-basics","02.cpp\u002F85.exceptions-basics",{"title":2057,"path":2058,"stem":2059},"Ієрархія std::exception та власні класи винятків","\u002Fcpp\u002Fexception-hierarchy-custom","02.cpp\u002F86.exception-hierarchy-custom",{"title":2061,"path":2062,"stem":2063},"Повторне генерування винятків та функціональний try-блок","\u002Fcpp\u002Frethrow-function-try","02.cpp\u002F87.rethrow-function-try",{"title":2065,"path":2066,"stem":2067},"Безпека винятків, noexcept та деструктори","\u002Fcpp\u002Fsafety-noexcept","02.cpp\u002F88.safety-noexcept",{"title":2069,"path":2070,"stem":2071},"Стаття 89 — Власні структури даних: стек та черга","\u002Fcpp\u002Fcustom-stack-queue","02.cpp\u002F89.custom-stack-queue",{"title":2073,"path":2074,"stem":2075},"Стаття 90 — Власні структури даних: однозв'язаний список","\u002Fcpp\u002Flinked-list","02.cpp\u002F90.linked-list",{"title":2077,"path":2078,"stem":2079},"Стаття 91 — Власні структури даних: бінарне дерево пошуку","\u002Fcpp\u002Fbinary-search-tree","02.cpp\u002F91.binary-search-tree",{"title":2081,"path":2082,"stem":2083},"Стаття 92 — Власні структури даних: хеш-таблиця","\u002Fcpp\u002Fhash-table","02.cpp\u002F92.hash-table",{"title":2085,"icon":2086,"path":2087,"stem":2088,"children":2089,"page":59},"JavaScript","i-devicon-javascript","\u002Fjavascript","03.javascript",[2090,2116,2170,2192,2496,2534,2552],{"title":2091,"icon":2092,"path":2093,"stem":2094,"children":2095,"page":59},"Events","i-lucide-mouse-pointer-click","\u002Fjavascript\u002Fevents","03.javascript\u002F01.events",[2096,2100,2104,2108,2112],{"title":2097,"path":2098,"stem":2099},"Вступ до подій браузера","\u002Fjavascript\u002Fevents\u002Fintro","03.javascript\u002F01.events\u002F01.intro",{"title":2101,"path":2102,"stem":2103},"Бульбашковий механізм (Bubbling) та занурення (Capturing)","\u002Fjavascript\u002Fevents\u002Fbubbling-capturing","03.javascript\u002F01.events\u002F02.bubbling-capturing",{"title":2105,"path":2106,"stem":2107},"Делегування подій (Event Delegation)","\u002Fjavascript\u002Fevents\u002Fdelegate-events","03.javascript\u002F01.events\u002F03.delegate-events",{"title":2109,"path":2110,"stem":2111},"Типові дії браузера та preventDefault()","\u002Fjavascript\u002Fevents\u002Fprevent-default","03.javascript\u002F01.events\u002F04.prevent-default",{"title":2113,"path":2114,"stem":2115},"Запуск користувацьких подій (Custom Events)","\u002Fjavascript\u002Fevents\u002Fcustom-events","03.javascript\u002F01.events\u002F05.custom-events",{"title":2117,"icon":2118,"path":2119,"stem":2120,"children":2121,"page":59},"Network","i-lucide-globe","\u002Fjavascript\u002Fnetwork","03.javascript\u002F02.network",[2122,2126,2130,2134,2138,2142,2146,2150,2154,2158,2162,2166],{"title":2123,"path":2124,"stem":2125},"Fetch API - Сучасний підхід до HTTP-запитів","\u002Fjavascript\u002Fnetwork\u002F01-fetch-api","03.javascript\u002F02.network\u002F01-fetch-api",{"title":2127,"path":2128,"stem":2129},"FormData - Робота з формами та файлами","\u002Fjavascript\u002Fnetwork\u002F02-formdata","03.javascript\u002F02.network\u002F02-formdata",{"title":2131,"path":2132,"stem":2133},"Відстеження прогресу завантаження","\u002Fjavascript\u002Fnetwork\u002F03-download-progress","03.javascript\u002F02.network\u002F03-download-progress",{"title":2135,"path":2136,"stem":2137},"Переривання fetch-запитів","\u002Fjavascript\u002Fnetwork\u002F04-abort-requests","03.javascript\u002F02.network\u002F04-abort-requests",{"title":2139,"path":2140,"stem":2141},"CORS - Запити між різними джерелами","\u002Fjavascript\u002Fnetwork\u002F05-cors","03.javascript\u002F02.network\u002F05-cors",{"title":2143,"path":2144,"stem":2145},"Fetch API - Повний довідник опцій","\u002Fjavascript\u002Fnetwork\u002F06-fetch-options","03.javascript\u002F02.network\u002F06-fetch-options",{"title":2147,"path":2148,"stem":2149},"URL Objects - Робота з посиланнями","\u002Fjavascript\u002Fnetwork\u002F07-url-objects","03.javascript\u002F02.network\u002F07-url-objects",{"title":2151,"path":2152,"stem":2153},"XMLHttpRequest - AJAX та низькорівневі запити","\u002Fjavascript\u002Fnetwork\u002F08-xmlhttprequest","03.javascript\u002F02.network\u002F08-xmlhttprequest",{"title":2155,"path":2156,"stem":2157},"Відновлюване завантаження файлів","\u002Fjavascript\u002Fnetwork\u002F09-resumable-upload","03.javascript\u002F02.network\u002F09-resumable-upload",{"title":2159,"path":2160,"stem":2161},"Cookies, document.cookie та світ після \"Cookiepocalypse\"","\u002Fjavascript\u002Fnetwork\u002F10-cookies","03.javascript\u002F02.network\u002F10-cookies",{"title":2163,"path":2164,"stem":2165},"js-cookie: Керування Cookies без Болю","\u002Fjavascript\u002Fnetwork\u002F11-js-cookie","03.javascript\u002F02.network\u002F11-js-cookie",{"title":2167,"path":2168,"stem":2169},"Axios: Потужний HTTP-клієнт для JavaScript","\u002Fjavascript\u002Fnetwork\u002F12-axios","03.javascript\u002F02.network\u002F12-axios",{"title":2171,"icon":2172,"path":2173,"stem":2174,"children":2175,"page":59},"Bom","i-lucide-monitor","\u002Fjavascript\u002Fbom","03.javascript\u002F03.bom",[2176,2180,2184,2188],{"title":2177,"path":2178,"stem":2179},"LocalStorage, SessionStorage та patterns збереження даних","\u002Fjavascript\u002Fbom\u002F01-localstorage","03.javascript\u002F03.bom\u002F01-localstorage",{"title":2181,"path":2182,"stem":2183},"Location Object - Керування адресою сторінки","\u002Fjavascript\u002Fbom\u002F02-location-object","03.javascript\u002F03.bom\u002F02-location-object",{"title":2185,"path":2186,"stem":2187},"History API - Керування історією браузера","\u002Fjavascript\u002Fbom\u002F03-history-api","03.javascript\u002F03.bom\u002F03-history-api",{"title":2189,"path":2190,"stem":2191},"Navigator Object - Ідентифікація та Можливості Пристрою","\u002Fjavascript\u002Fbom\u002F04-navigator-object","03.javascript\u002F03.bom\u002F04-navigator-object",{"title":2193,"icon":2194,"path":2195,"stem":2196,"children":2197},"React","i-devicon-react","\u002Fjavascript\u002Freact","03.javascript\u002F04.react\u002Findex",[2198,2199,2203,2207,2211,2215,2278,2313,2465],{"title":2193,"path":2195,"stem":2196},{"title":2200,"path":2201,"stem":2202},"Робота з Формами в React","\u002Fjavascript\u002Freact\u002Freact-forms","03.javascript\u002F04.react\u002F01.react-forms",{"title":2204,"path":2205,"stem":2206},"React Hook Form: Професійна Робота з Формами","\u002Fjavascript\u002Freact\u002Freact-hook-form","03.javascript\u002F04.react\u002F02.react-hook-form",{"title":2208,"path":2209,"stem":2210},"React Hook Form: Глибоке Розуміння Архітектури та Оптимізації","\u002Fjavascript\u002Freact\u002Freact-hook-form-new","03.javascript\u002F04.react\u002F02.react-hook-form-new",{"title":2212,"path":2213,"stem":2214},"Axios та React: Професійна Архітектура Запитів","\u002Fjavascript\u002Freact\u002Fdata-fetching-axios","03.javascript\u002F04.react\u002F03.data-fetching-axios",{"title":2216,"icon":132,"path":2217,"stem":2218,"children":2219},"Tanstack Query","\u002Fjavascript\u002Freact\u002Ftanstack-query","03.javascript\u002F04.react\u002F04.tanstack-query\u002Findex",[2220,2222,2226,2230,2234,2238,2242,2246,2250,2254,2258,2262,2266,2270,2274],{"title":2221,"path":2217,"stem":2218},"TanStack Query: Майстерність Керування Станом Сервера",{"title":2223,"path":2224,"stem":2225},"Парадигма Server State: Чому useEffect недостатньо","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-state-paradigm","03.javascript\u002F04.react\u002F04.tanstack-query\u002F01.server-state-paradigm",{"title":2227,"path":2228,"stem":2229},"Встановлення та Налаштування: Фундамент","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Finstallation-and-devtools","03.javascript\u002F04.react\u002F04.tanstack-query\u002F02.installation-and-devtools",{"title":2231,"path":2232,"stem":2233},"Основи Запитів та Магія Ключів","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fquery-basics-and-keys","03.javascript\u002F04.react\u002F04.tanstack-query\u002F03.query-basics-and-keys",{"title":2235,"path":2236,"stem":2237},"Синхронізація Даних: Життєвий Цикл Запиту","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fdata-synchronization","03.javascript\u002F04.react\u002F04.tanstack-query\u002F04.data-synchronization",{"title":2239,"path":2240,"stem":2241},"Мутації та Інвалідація: Зміна Даних","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fmutations-and-invalidation","03.javascript\u002F04.react\u002F04.tanstack-query\u002F05.mutations-and-invalidation",{"title":2243,"path":2244,"stem":2245},"Оптимістичні Оновлення: Швидше за Світло","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Foptimistic-updates","03.javascript\u002F04.react\u002F04.tanstack-query\u002F06.optimistic-updates",{"title":2247,"path":2248,"stem":2249},"Пагінація та Infinite Scroll","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fpagination-and-load-more","03.javascript\u002F04.react\u002F04.tanstack-query\u002F07.pagination-and-load-more",{"title":2251,"path":2252,"stem":2253},"Просунуті Патерни та Оптимізація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F04.tanstack-query\u002F08.advanced-patterns",{"title":2255,"path":2256,"stem":2257},"Архітектура та Best Practices","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Farchitecture-and-best-practices","03.javascript\u002F04.react\u002F04.tanstack-query\u002F09.architecture-and-best-practices",{"title":2259,"path":2260,"stem":2261},"Server-Side Rendering (SSR) та Гідратація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-side-rendering","03.javascript\u002F04.react\u002F04.tanstack-query\u002F10.server-side-rendering",{"title":2263,"path":2264,"stem":2265},"Стратегії Тестування","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Ftesting-strategies","03.javascript\u002F04.react\u002F04.tanstack-query\u002F11.testing-strategies",{"title":2267,"path":2268,"stem":2269},"Аутентифікація та Обробка Помилок","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fauthentication-and-errors","03.javascript\u002F04.react\u002F04.tanstack-query\u002F12.authentication-and-errors",{"title":2271,"path":2272,"stem":2273},"React Suspense та Майбутнє","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Freact-suspense","03.javascript\u002F04.react\u002F04.tanstack-query\u002F13.react-suspense",{"title":2275,"path":2276,"stem":2277},"Глибоке Занурення в Продуктивність","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fperformance-deep-dive","03.javascript\u002F04.react\u002F04.tanstack-query\u002F14.performance-deep-dive",{"title":2279,"icon":2194,"path":2280,"stem":2281,"children":2282},"React Router","\u002Fjavascript\u002Freact\u002Freact-router","03.javascript\u002F04.react\u002F05.react-router\u002Findex",[2283,2285,2289,2293,2297,2301,2305,2309],{"title":2284,"path":2280,"stem":2281},"React Router: Навігаційна система сучасного вебу",{"title":2286,"path":2287,"stem":2288},"Налаштування та Базовий Роутинг","\u002Fjavascript\u002Freact\u002Freact-router\u002Fsetup-and-basic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F01.setup-and-basic-routing",{"title":2290,"path":2291,"stem":2292},"Динамічна Навігація","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnavigation-and-links","03.javascript\u002F04.react\u002F05.react-router\u002F02.navigation-and-links",{"title":2294,"path":2295,"stem":2296},"Вкладені Маршрути та Макети","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnested-routes-and-layouts","03.javascript\u002F04.react\u002F05.react-router\u002F03.nested-routes-and-layouts",{"title":2298,"path":2299,"stem":2300},"Динамічні Маршрути та Параметри","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdynamic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F04.dynamic-routing",{"title":2302,"path":2303,"stem":2304},"Data APIs: Loaders та Actions","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdata-loading","03.javascript\u002F04.react\u002F05.react-router\u002F05.data-loading",{"title":2306,"path":2307,"stem":2308},"Просунуті Патерни","\u002Fjavascript\u002Freact\u002Freact-router\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F05.react-router\u002F06.advanced-patterns",{"title":2310,"path":2311,"stem":2312},"Legacy Routing: Компонентний підхід","\u002Fjavascript\u002Freact\u002Freact-router\u002Flegacy-routing","03.javascript\u002F04.react\u002F05.react-router\u002F07.legacy-routing",{"title":2314,"icon":132,"path":2315,"stem":2316,"children":2317},"Redux","\u002Fjavascript\u002Freact\u002Fredux","03.javascript\u002F04.react\u002F06.redux\u002Findex",[2318,2320,2336,2365,2374,2395,2411,2440],{"title":2319,"path":2315,"stem":2316},"Redux: Еволюція управління станом",{"title":14,"icon":15,"path":2321,"stem":2322,"children":2323,"page":59},"\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals",[2324,2328,2332],{"title":2325,"path":2326,"stem":2327},"Вступ до State Management","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fintro-state-management","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F01.intro-state-management",{"title":2329,"path":2330,"stem":2331},"Філософія Redux та Три Принципи","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fredux-philosophy","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F02.redux-philosophy",{"title":2333,"path":2334,"stem":2335},"Чисті функції та Іммутабельність","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fpure-functions-immutability","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F03.pure-functions-immutability",{"title":2337,"icon":132,"path":2338,"stem":2339,"children":2340,"page":59},"Classic Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux",[2341,2345,2349,2353,2357,2361],{"title":2342,"path":2343,"stem":2344},"Створення Store (Classic Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fstore-setup","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F01.store-setup",{"title":2346,"path":2347,"stem":2348},"Actions, Constants та Action Creators","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Factions-constants","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F02.actions-constants",{"title":2350,"path":2351,"stem":2352},"Логіка Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freducers","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F03.reducers",{"title":2354,"path":2355,"stem":2356},"Комбінування Reducers (Root Reducer)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fdata-flow","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F04.data-flow",{"title":2358,"path":2359,"stem":2360},"Підключення до React (React-Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freact-redux-connection","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F05.react-redux-connection",{"title":2362,"path":2363,"stem":2364},"Middleware та Асинхронність (Redux Thunk)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fmiddleware-thunk","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F06.middleware-thunk",{"title":2366,"icon":132,"path":2367,"stem":2368,"children":2369,"page":59},"Transition To Rtk","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk",[2370],{"title":2371,"path":2372,"stem":2373},"Проблеми класичного Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk\u002Fproblems-with-classic","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk\u002F01.problems-with-classic",{"title":2375,"icon":132,"path":2376,"stem":2377,"children":2378,"page":59},"Redux Toolkit","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit",[2379,2383,2387,2391],{"title":2380,"path":2381,"stem":2382},"Налаштування Store з configureStore","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fconfigure-store","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F01.configure-store",{"title":2384,"path":2385,"stem":2386},"createSlice: Революція в Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fcreate-slice","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F02.create-slice",{"title":2388,"path":2389,"stem":2390},"Асинхронність з createAsyncThunk","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fasync-thunks","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F03.async-thunks",{"title":2392,"path":2393,"stem":2394},"04. Entity Adapter: Керування нормалізованим станом","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fentity-adapter","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F04.entity-adapter",{"title":2396,"icon":92,"path":2397,"stem":2398,"children":2399,"page":59},"Advanced","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced",[2400,2404,2408],{"title":2401,"path":2402,"stem":2403},"Мемоізація та Селектори: Повний Гайд по Reselect","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Fselectors-reselect","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F01.selectors-reselect",{"title":2405,"path":2406,"stem":2407},"RTK Query: Архітектура Серверного Кешу","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Frtk-query-intro","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F02.rtk-query-intro",{"title":2255,"path":2409,"stem":2410},"\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Farchitecture-best-practices","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F03.architecture-best-practices",{"title":2412,"icon":132,"path":2413,"stem":2414,"children":2415,"page":59},"Project Kanban","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban",[2416,2420,2424,2428,2432,2436],{"title":2417,"path":2418,"stem":2419},"Проєкт: Kanban Board (Trello Clone)","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fproject-overview","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F01.project-overview",{"title":2421,"path":2422,"stem":2423},"Налаштування та Типізація","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fsetup-and-types","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F02.setup-and-types",{"title":2425,"path":2426,"stem":2427},"Board Slice: Серце Дошки","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fboard-slice","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F03.board-slice",{"title":2429,"path":2430,"stem":2431},"Логіка Drag & Drop","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fdrag-and-drop-logic","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F04.drag-and-drop-logic",{"title":2433,"path":2434,"stem":2435},"Інтеграція з RTK Query","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Frtk-query-integration","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F05.rtk-query-integration",{"title":2437,"path":2438,"stem":2439},"Optimistic Updates","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Foptimistic-updates","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F06.optimistic-updates",{"title":2441,"icon":132,"path":2442,"stem":2443,"children":2444,"page":59},"Testing","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting","03.javascript\u002F04.react\u002F06.redux\u002F07.testing",[2445,2449,2453,2457,2461],{"title":2446,"path":2447,"stem":2448},"Тестування Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Fintro-testing","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F01.intro-testing",{"title":2450,"path":2451,"stem":2452},"Тестування Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-reducers","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F02.testing-reducers",{"title":2454,"path":2455,"stem":2456},"Тестування Селекторів","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-selectors","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F03.testing-selectors",{"title":2458,"path":2459,"stem":2460},"Тестування Компонентів (Integration)","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-components","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F04.testing-components",{"title":2462,"path":2463,"stem":2464},"Тестування Async Thunks","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-thunks","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F05.testing-thunks",{"title":2466,"icon":132,"path":2467,"stem":2468,"children":2469},"Ui Libraries","\u002Fjavascript\u002Freact\u002Fui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002Findex",[2470,2472,2476,2480,2484,2488,2492],{"title":2471,"path":2467,"stem":2468},"UI Бібліотеки в React",{"title":2473,"path":2474,"stem":2475},"Вступ до UI Бібліотек: Навіщо Винаходити Велосипед Двічі?","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fintroduction-to-ui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002F01.introduction-to-ui-libraries",{"title":2477,"path":2478,"stem":2479},"Філософія shadcn\u002Fui: \"Not a Component Library\"","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-philosophy","03.javascript\u002F04.react\u002F07.ui-libraries\u002F02.shadcn-philosophy",{"title":2481,"path":2482,"stem":2483},"Установка та Налаштування shadcn\u002Fui","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-installation","03.javascript\u002F04.react\u002F07.ui-libraries\u002F03.shadcn-installation",{"title":2485,"path":2486,"stem":2487},"Базові Компоненти shadcn\u002Fui: Фундамент Інтерфейсу","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-basics","03.javascript\u002F04.react\u002F07.ui-libraries\u002F04.shadcn-components-basics",{"title":2489,"path":2490,"stem":2491},"Компоненти Форм: Побудова Інтерактивних Form","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-forms","03.javascript\u002F04.react\u002F07.ui-libraries\u002F05.shadcn-components-forms",{"title":2493,"path":2494,"stem":2495},"Складні Компоненти: Dialog, Dropdown, Table та Command","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-advanced","03.javascript\u002F04.react\u002F07.ui-libraries\u002F06.shadcn-components-advanced",{"title":2497,"icon":2498,"path":2499,"stem":2500,"children":2501,"page":59},"TypeScript","i-devicon-typescript","\u002Fjavascript\u002Ftypescript","03.javascript\u002F05.typescript",[2502,2506,2510,2514,2518,2522,2526,2530],{"title":2503,"path":2504,"stem":2505},"TypeScript: Броня для вашого коду","\u002Fjavascript\u002Ftypescript\u002Fintro-and-basic-types","03.javascript\u002F05.typescript\u002F01.intro-and-basic-types",{"title":2507,"path":2508,"stem":2509},"Майстерність Моделювання Даних: Інтерфейси та Просунуті Типи","\u002Fjavascript\u002Ftypescript\u002Finterfaces-and-advanced-types","03.javascript\u002F05.typescript\u002F02.interfaces-and-advanced-types",{"title":2511,"path":2512,"stem":2513},"Алхімія Типів: Generics та Utility Types","\u002Fjavascript\u002Ftypescript\u002Fgenerics-and-utilities","03.javascript\u002F05.typescript\u002F03.generics-and-utilities",{"title":2515,"path":2516,"stem":2517},"Архітектура та Шаблони: Класи в TypeScript","\u002Fjavascript\u002Ftypescript\u002Fclasses-and-oop","03.javascript\u002F05.typescript\u002F04.classes-and-oop",{"title":2519,"path":2520,"stem":2521},"Продакшн та Екосистема: Advanced Config & Workflow","\u002Fjavascript\u002Ftypescript\u002Fadvanced-patterns-and-config","03.javascript\u002F05.typescript\u002F05.advanced-patterns-and-config",{"title":2523,"path":2524,"stem":2525},"TypeScript у світі React","\u002Fjavascript\u002Ftypescript\u002Freact-basics","03.javascript\u002F05.typescript\u002F06.react-basics",{"title":2527,"path":2528,"stem":2529},"React + TypeScript: Продвинуті патерни","\u002Fjavascript\u002Ftypescript\u002Freact-advanced","03.javascript\u002F05.typescript\u002F07.react-advanced",{"title":2531,"path":2532,"stem":2533},"React + TypeScript: Екосистема та бібліотеки","\u002Fjavascript\u002Ftypescript\u002Freact-ecosystem","03.javascript\u002F05.typescript\u002F08.react-ecosystem",{"title":2535,"icon":2536,"path":2537,"stem":2538,"children":2539,"page":59},"Асинхронність","i-lucide-refresh-cw","\u002Fjavascript\u002Fasync-programming","03.javascript\u002F06.async-programming",[2540,2544,2548],{"title":2541,"path":2542,"stem":2543},"Event Loop: серце асинхронності в JavaScript","\u002Fjavascript\u002Fasync-programming\u002Fevent-loop-fundamentals","03.javascript\u002F06.async-programming\u002F01.event-loop-fundamentals",{"title":2545,"path":2546,"stem":2547},"Task Queue та Microtask Queue: пріоритети виконання","\u002Fjavascript\u002Fasync-programming\u002Ftask-queues","03.javascript\u002F06.async-programming\u002F02.task-queues",{"title":2549,"path":2550,"stem":2551},"Асинхронні патерни: від Callbacks до Async\u002FAwait","\u002Fjavascript\u002Fasync-programming\u002Fasync-patterns","03.javascript\u002F06.async-programming\u002F03.async-patterns",{"title":2553,"path":2554,"stem":2555},"Atomic Design","\u002Fjavascript\u002Fatomic-design","03.javascript\u002F2.atomic-design",{"title":2557,"icon":2558,"path":2559,"stem":2560,"children":2561,"page":59},"Java","i-devicon-java","\u002Fjava","04.java",[2562,2565,2568,2572,2576,2580,2584],{"title":162,"path":2563,"stem":2564},"\u002Fjava\u002Fdata-mapper-part1","04.java\u002F01.data-mapper-part1",{"title":166,"path":2566,"stem":2567},"\u002Fjava\u002Fdata-mapper-part2","04.java\u002F02.data-mapper-part2",{"title":2569,"path":2570,"stem":2571},"Service Layer: Організація бізнес-логіки","\u002Fjava\u002Fservice-layer","04.java\u002F03.service-layer",{"title":2573,"path":2574,"stem":2575},"Rich Domain Model та State Pattern","\u002Fjava\u002Frich-domain-model","04.java\u002F04.rich-domain-model",{"title":2577,"path":2578,"stem":2579},"Патерни для складної бізнес-логіки","\u002Fjava\u002Fbusiness-logic-patterns","04.java\u002F05.business-logic-patterns",{"title":2581,"path":2582,"stem":2583},"Обробка помилок та валідація","\u002Fjava\u002Ferror-handling-validation","04.java\u002F06.error-handling-validation",{"title":2585,"path":2586,"stem":2587,"children":2588,"page":59},"Проектування баз даних","\u002Fjava\u002Fpr2","04.java\u002Fpr2",[2589,2593,2597,2601,2605,2609,2613,2617,2621,2625,2629,2633,2637,2641,2645,2649,2653,2657,2661,2665,2669,2673,2677,2681,2685,2689,2693,2697,2701,2705,2709,2713,2717,2721,2725,2729,2733],{"title":2590,"path":2591,"stem":2592},"Концептуальне моделювання: Мистецтво розуміння предметної області","\u002Fjava\u002Fpr2\u002Fconceptual-modeling","04.java\u002Fpr2\u002F01.conceptual-modeling",{"title":2594,"path":2595,"stem":2596},"Логічне моделювання: Від бізнес-ідей до структур даних","\u002Fjava\u002Fpr2\u002Flogical-modeling","04.java\u002Fpr2\u002F02.logical-modeling",{"title":2598,"path":2599,"stem":2600},"Нормалізація: Гігієна даних та боротьба з аномаліями","\u002Fjava\u002Fpr2\u002Fnormalization","04.java\u002Fpr2\u002F03.normalization",{"title":2602,"path":2603,"stem":2604},"Фізична схема: Від абстракції до DDL","\u002Fjava\u002Fpr2\u002Fphysical-schema","04.java\u002Fpr2\u002F04.physical-schema",{"title":2606,"path":2607,"stem":2608},"Архітектурна класифікація таблиць","\u002Fjava\u002Fpr2\u002Ftable-classification","04.java\u002Fpr2\u002F05.table-classification",{"title":2610,"path":2611,"stem":2612},"Database Migrations: Версіонування схеми з Flyway","\u002Fjava\u002Fpr2\u002Fdatabase-migrations","04.java\u002Fpr2\u002F06.database-migrations",{"title":2614,"path":2615,"stem":2616},"А що, якби це була не реляційна БД?","\u002Fjava\u002Fpr2\u002Fbeyond-relational","04.java\u002Fpr2\u002F07.beyond-relational",{"title":2618,"path":2619,"stem":2620},"Object-Relational Impedance Mismatch: Два світи, що не хочуть дружити","\u002Fjava\u002Fpr2\u002Fimpedance-mismatch","04.java\u002Fpr2\u002F09.impedance-mismatch",{"title":2622,"path":2623,"stem":2624},"JDBC: Перший контакт із базою даних","\u002Fjava\u002Fpr2\u002Fjdbc-fundamentals","04.java\u002Fpr2\u002F10.jdbc-fundamentals",{"title":2626,"path":2627,"stem":2628},"Якість коду: Spotless, SpotBugs та SonarQube","\u002Fjava\u002Fpr2\u002F10a.code-quality","04.java\u002Fpr2\u002F10a.code-quality",{"title":2630,"path":2631,"stem":2632},"Connection Pool: Патерн Object Pool для JDBC-з'єднань","\u002Fjava\u002Fpr2\u002Fconnection-pool","04.java\u002Fpr2\u002F11.connection-pool",{"title":2634,"path":2635,"stem":2636},"Row Data Gateway: Об'єкт як обгортка рядка таблиці","\u002Fjava\u002Fpr2\u002Frow-data-gateway","04.java\u002Fpr2\u002F12.row-data-gateway",{"title":2638,"path":2639,"stem":2640},"Table Data Gateway: Фасад таблиці як архітектурний відступ","\u002Fjava\u002Fpr2\u002Ftable-data-gateway","04.java\u002Fpr2\u002F13.table-data-gateway",{"title":2642,"path":2643,"stem":2644},"Repository + Data Mapper: Правильна шарова архітектура з JDBC","\u002Fjava\u002Fpr2\u002Frepository-data-mapper","04.java\u002Fpr2\u002F14.repository-data-mapper",{"title":2646,"path":2647,"stem":2648},"Identity Map: Кешування сутностей у рамках сесії","\u002Fjava\u002Fpr2\u002Fidentity-map","04.java\u002Fpr2\u002F15.identity-map",{"title":2650,"path":2651,"stem":2652},"Unit of Work: Відстеження змін і координація JDBC-транзакцій","\u002Fjava\u002Fpr2\u002Funit-of-work","04.java\u002Fpr2\u002F16.unit-of-work",{"title":2654,"path":2655,"stem":2656},"Strategy: Замінювані SQL-стратегії для підтримки різних СУБД","\u002Fjava\u002Fpr2\u002Fstrategy-sql","04.java\u002Fpr2\u002F17.strategy-sql",{"title":2658,"path":2659,"stem":2660},"Proxy: Lazy Loading для One-To-Many колекцій","\u002Fjava\u002Fpr2\u002Fproxy-lazy-loading","04.java\u002Fpr2\u002F18.proxy-lazy-loading",{"title":2662,"path":2663,"stem":2664},"Generic Repository через Java Reflection: анотації та динамічний SQL","\u002Fjava\u002Fpr2\u002Fgeneric-repository-reflection","04.java\u002Fpr2\u002F19.generic-repository-reflection",{"title":2666,"path":2667,"stem":2668},"Specification Pattern: Композиція бізнес-правил для складних запитів","\u002Fjava\u002Fpr2\u002Fspecification-pattern","04.java\u002Fpr2\u002F20.specification-pattern",{"title":2670,"path":2671,"stem":2672},"Розширені можливості Specification Pattern: підзапити, агрегації та гібридний підхід","\u002Fjava\u002Fpr2\u002F20a.advanced-specifications","04.java\u002Fpr2\u002F20a.advanced-specifications",{"title":2674,"path":2675,"stem":2676},"Асинхронність у JDBC: Від блокуючих викликів до CompletableFuture","\u002Fjava\u002Fpr2\u002Fasynchronous-jdbc","04.java\u002Fpr2\u002F21.asynchronous-jdbc",{"title":2678,"path":2679,"stem":2680},"Інтеграційне тестування JDBC-репозиторіїв: Embedded H2 та патерн AAA","\u002Fjava\u002Fpr2\u002Fintegration-testing-h2","04.java\u002Fpr2\u002F22.integration-testing-h2",{"title":2682,"path":2683,"stem":2684},"Testcontainers: Тестування з реальною PostgreSQL у Docker-контейнерах","\u002Fjava\u002Fpr2\u002Fintegration-testing-testcontainers","04.java\u002Fpr2\u002F23.integration-testing-testcontainers",{"title":2686,"path":2687,"stem":2688},"Google Guice: Впровадження залежностей у JavaFX-проєкті","\u002Fjava\u002Fpr2\u002Fdependency-injection-guice","04.java\u002Fpr2\u002F24.dependency-injection-guice",{"title":2690,"path":2691,"stem":2692},"JavaFX: Основи побудови графічних інтерфейсів","\u002Fjava\u002Fpr2\u002Fjavafx-fundamentals","04.java\u002Fpr2\u002F25.javafx-fundamentals",{"title":2694,"path":2695,"stem":2696},"Properties та Bindings: Реактивність у JavaFX","\u002Fjava\u002Fpr2\u002Fjavafx-properties-bindings","04.java\u002Fpr2\u002F26.javafx-properties-bindings",{"title":2698,"path":2699,"stem":2700},"MVC vs MVP vs MVVM: Еволюція архітектурних патернів UI","\u002Fjava\u002Fpr2\u002Fui-architecture-patterns","04.java\u002Fpr2\u002F27.ui-architecture-patterns",{"title":2702,"path":2703,"stem":2704},"MVVM на практиці: Побудова ViewModel","\u002Fjava\u002Fpr2\u002Fmvvm-viewmodel-implementation","04.java\u002Fpr2\u002F28.mvvm-viewmodel-implementation",{"title":2706,"path":2707,"stem":2708},"View та Controller: Зв'язування з ViewModel через FXML","\u002Fjava\u002Fpr2\u002Fmvvm-view-controller","04.java\u002Fpr2\u002F29.mvvm-view-controller",{"title":2710,"path":2711,"stem":2712},"Інтеграція MVVM з Guice: Автоматична ін'єкція залежностей","\u002Fjava\u002Fpr2\u002Fmvvm-guice-integration","04.java\u002Fpr2\u002F30.mvvm-guice-integration",{"title":2714,"path":2715,"stem":2716},"Валідація та обробка помилок у MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-validation-error-handling","04.java\u002Fpr2\u002F31.mvvm-validation-error-handling",{"title":2718,"path":2719,"stem":2720},"Навігація та управління екранами у JavaFX MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-navigation-screen-management","04.java\u002Fpr2\u002F32.mvvm-navigation-screen-management",{"title":2722,"path":2723,"stem":2724},"Тестування JavaFX MVVM-додатків","\u002Fjava\u002Fpr2\u002Fmvvm-testing","04.java\u002Fpr2\u002F33.mvvm-testing",{"title":2726,"path":2727,"stem":2728},"Стилізація та теми у JavaFX: CSS та User Experience","\u002Fjava\u002Fpr2\u002Fjavafx-styling-themes","04.java\u002Fpr2\u002F34.javafx-styling-themes",{"title":2730,"path":2731,"stem":2732},"AtlantaFX: Сучасні теми для JavaFX додатків","\u002Fjava\u002Fpr2\u002Fatlantafx-modern-themes","04.java\u002Fpr2\u002F35.atlantafx-modern-themes",{"title":2734,"path":2735,"stem":2736},"Пакування та розповсюдження JavaFX-додатків","\u002Fjava\u002Fpr2\u002Fjar-packaging-distribution","04.java\u002Fpr2\u002F36.jar-packaging-distribution",{"title":2738,"icon":2739,"path":2740,"stem":2741,"children":2742,"page":59},"Python","i-devicon-python","\u002Fpython","05.python",[2743,2747,2750,2754,2758,2762,2766,2770,2774,2778,2782,2786,2790,2794,2798,2859],{"title":2744,"path":2745,"stem":2746},"Модулі, Пакети та Віртуальні Середовища","\u002Fpython\u002Fmodules-packages-venv","05.python\u002F00.modules-packages-venv",{"title":71,"path":2748,"stem":2749},"\u002Fpython\u002Fclasses-objects","05.python\u002F01.classes-objects",{"title":2751,"path":2752,"stem":2753},"Інкапсуляція, Керування Доступом та Властивості","\u002Fpython\u002Fencapsulation","05.python\u002F02.encapsulation",{"title":2755,"path":2756,"stem":2757},"Наслідування, MRO та суперсила super()","\u002Fpython\u002Finheritance-mro","05.python\u002F03.inheritance-mro",{"title":2759,"path":2760,"stem":2761},"Абстракція — ABC проти Статичних Протоколів (PEP 544)","\u002Fpython\u002Fabstraction-protocols","05.python\u002F04.abstraction-protocols",{"title":2763,"path":2764,"stem":2765},"Магічні методи (Dunder) та Емуляція протоколів","\u002Fpython\u002Fdunder-methods","05.python\u002F05.dunder-methods",{"title":2767,"path":2768,"stem":2769},"Декоратори та Керування життєвим циклом методів","\u002Fpython\u002Fdecorators-static-class","05.python\u002F06.decorators-static-class",{"title":2771,"path":2772,"stem":2773},"Дескриптори — Магія доступу до атрибутів","\u002Fpython\u002Fdescriptors","05.python\u002F07.descriptors",{"title":2775,"path":2776,"stem":2777},"Метакласи — Динамічне створення класів під капотом CPython","\u002Fpython\u002Fmetaclasses","05.python\u002F08.metaclasses",{"title":2779,"path":2780,"stem":2781},"Dataclasses, NamedTuple та сучасні контейнери Python","\u002Fpython\u002Fmodern-containers","05.python\u002F09.modern-containers",{"title":2783,"path":2784,"stem":2785},"GIL та модель конкурентності CPython — фундамент перед потоками і процесами","\u002Fpython\u002Fgil-concurrency-intro","05.python\u002F11.gil-concurrency-intro",{"title":2787,"path":2788,"stem":2789},"Threading — конкурентність для I\u002FO-bound задач","\u002Fpython\u002Fthreading","05.python\u002F12.threading",{"title":2791,"path":2792,"stem":2793},"Multiprocessing — справжній паралелізм для CPU-bound задач","\u002Fpython\u002Fmultiprocessing","05.python\u002F13.multiprocessing",{"title":2795,"path":2796,"stem":2797},"asyncio — кооперативна конкурентність та event loop","\u002Fpython\u002Fasyncio","05.python\u002F14.asyncio",{"title":2799,"icon":92,"path":2800,"stem":2801,"children":2802,"page":59},"FastAPI","\u002Fpython\u002Ffastapi","05.python\u002Ffastapi",[2803,2807,2811,2815,2819,2823,2827,2831,2835,2839,2843,2847,2851,2855],{"title":2804,"path":2805,"stem":2806},"Глибокий Typing та Pydantic v2 — від анотацій до валідації","\u002Fpython\u002Ffastapi\u002Ftyping-pydantic","05.python\u002Ffastapi\u002F15.typing-pydantic",{"title":2808,"path":2809,"stem":2810},"WSGI, ASGI та Python Web-екосистема","\u002Fpython\u002Ffastapi\u002Fwsgi-asgi-ecosystem","05.python\u002Ffastapi\u002F16.wsgi-asgi-ecosystem",{"title":2812,"path":2813,"stem":2814},"FastAPI: Перший додаток, Uvicorn та OpenAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-intro","05.python\u002Ffastapi\u002F17.fastapi-intro",{"title":2816,"path":2817,"stem":2818},"Маршрутизація, параметри запитів та APIRouter","\u002Fpython\u002Ffastapi\u002Ffastapi-routing-params","05.python\u002Ffastapi\u002F18.fastapi-routing-params",{"title":2820,"path":2821,"stem":2822},"Pydantic v2 у FastAPI — схеми, валідація та серіалізація","\u002Fpython\u002Ffastapi\u002Ffastapi-pydantic-schemas","05.python\u002Ffastapi\u002F19.fastapi-pydantic-schemas",{"title":2824,"path":2825,"stem":2826},"Dependency Injection — серце архітектури FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-dependency-injection","05.python\u002Ffastapi\u002F20.fastapi-dependency-injection",{"title":2828,"path":2829,"stem":2830},"Обробка помилок, Middleware та CORS у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-errors-middleware","05.python\u002Ffastapi\u002F21.fastapi-errors-middleware",{"title":2832,"path":2833,"stem":2834},"SQLAlchemy 2.0 — ORM, Core та Async Engine","\u002Fpython\u002Ffastapi\u002Fsqlalchemy-orm","05.python\u002Ffastapi\u002F22.sqlalchemy-orm",{"title":2836,"path":2837,"stem":2838},"Alembic — міграції бази даних","\u002Fpython\u002Ffastapi\u002Falembic-migrations","05.python\u002Ffastapi\u002F23.alembic-migrations",{"title":2840,"path":2841,"stem":2842},"Repository Pattern та Clean Architecture у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-repository-clean-arch","05.python\u002Ffastapi\u002F24.fastapi-repository-clean-arch",{"title":2844,"path":2845,"stem":2846},"Автентифікація та авторизація — JWT, OAuth2, RBAC","\u002Fpython\u002Ffastapi\u002Ffastapi-auth-security","05.python\u002Ffastapi\u002F25.fastapi-auth-security",{"title":2848,"path":2849,"stem":2850},"Тестування FastAPI — pytest, httpx, fixtures","\u002Fpython\u002Ffastapi\u002Ffastapi-testing","05.python\u002Ffastapi\u002F26.fastapi-testing",{"title":2852,"path":2853,"stem":2854},"Async на повну — Background Tasks, WebSockets, SSE та Celery","\u002Fpython\u002Ffastapi\u002Ffastapi-async-advanced","05.python\u002Ffastapi\u002F27.fastapi-async-advanced",{"title":2856,"path":2857,"stem":2858},"Deployment — Docker, CI\u002FCD, Monitoring","\u002Fpython\u002Ffastapi\u002Ffastapi-deployment","05.python\u002Ffastapi\u002F28.fastapi-deployment",{"title":2860,"path":2861,"stem":2862},"[object Object]","\u002Fpython\u002Foop-plan","05.python\u002Foop-plan",{"title":2864,"icon":2865,"path":2866,"stem":2867,"children":2868,"page":59},"Бази даних","i-lucide-database","\u002Fdatabases","06.databases",[2869,2899,2922,2959,2988,3006,3040,3052,3061],{"title":2870,"icon":2871,"path":2872,"stem":2873,"children":2874,"page":59},"Intro","i-lucide-play","\u002Fdatabases\u002Fintro","06.databases\u002F01.intro",[2875,2879,2883,2887,2891,2895],{"title":2876,"path":2877,"stem":2878},"Введення в теорію баз даних","\u002Fdatabases\u002Fintro\u002Fintroduction-to-databases","06.databases\u002F01.intro\u002F01.introduction-to-databases",{"title":2880,"path":2881,"stem":2882},"Реляційна модель даних","\u002Fdatabases\u002Fintro\u002Frelational-model-theory","06.databases\u002F01.intro\u002F02.relational-model-theory",{"title":2884,"path":2885,"stem":2886},"ER-моделювання","\u002Fdatabases\u002Fintro\u002Fer-modeling","06.databases\u002F01.intro\u002F03.er-modeling",{"title":2888,"path":2889,"stem":2890},"Логічне проектування БД","\u002Fdatabases\u002Fintro\u002Flogical-schema","06.databases\u002F01.intro\u002F04.logical-schema",{"title":2892,"path":2893,"stem":2894},"Класифікація таблиць","\u002Fdatabases\u002Fintro\u002Ftable-classification","06.databases\u002F01.intro\u002F05.table-classification",{"title":2896,"path":2897,"stem":2898},"PlantUML для баз даних","\u002Fdatabases\u002Fintro\u002Fplantuml-diagrams","06.databases\u002F01.intro\u002F06.plantuml-diagrams",{"title":2900,"icon":2865,"path":2901,"stem":2902,"children":2903,"page":59},"MS SQL Server Start","\u002Fdatabases\u002Fms-sql-server-start","06.databases\u002F02.ms-sql-server-start",[2904,2908,2914,2918],{"title":2905,"path":2906,"stem":2907},"Типи даних у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fdata-types","06.databases\u002F02.ms-sql-server-start\u002F01.data-types",{"title":2909,"path":2910,"stem":2911,"children":2912},"Індекси у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-indexes","06.databases\u002F02.ms-sql-server-start\u002F02.sql-indexes",[2913],{"title":2909,"path":2910,"stem":2911},{"title":2915,"path":2916,"stem":2917},"Системні бази даних MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsystem-databases","06.databases\u002F02.ms-sql-server-start\u002F03.system-databases",{"title":2919,"path":2920,"stem":2921},"Огляд мови SQL та запитів","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-queries-overview","06.databases\u002F02.ms-sql-server-start\u002F04.sql-queries-overview",{"title":2923,"icon":2865,"path":2924,"stem":2925,"children":2926,"page":59},"SQL","\u002Fdatabases\u002Fsql","06.databases\u002F03.sql",[2927,2931,2935,2939,2943,2947,2951,2955],{"title":2928,"path":2929,"stem":2930},"Налаштування демонстраційної бази даних","\u002Fdatabases\u002Fsql\u002Fsample-database-setup","06.databases\u002F03.sql\u002F00.sample-database-setup",{"title":2932,"path":2933,"stem":2934},"DDL - Створення таблиць (CREATE TABLE)","\u002Fdatabases\u002Fsql\u002Fddl-create-table","06.databases\u002F03.sql\u002F01.ddl-create-table",{"title":2936,"path":2937,"stem":2938},"DDL - Зміна та видалення таблиць (ALTER, DROP)","\u002Fdatabases\u002Fsql\u002Fddl-alter-drop-table","06.databases\u002F03.sql\u002F02.ddl-alter-drop-table",{"title":2940,"path":2941,"stem":2942},"SELECT запити - Основи","\u002Fdatabases\u002Fsql\u002Fselect-queries-fundamentals","06.databases\u002F03.sql\u002F03.select-queries-fundamentals",{"title":2944,"path":2945,"stem":2946},"SELECT запити - Розширені можливості","\u002Fdatabases\u002Fsql\u002Fselect-queries-advanced","06.databases\u002F03.sql\u002F04.select-queries-advanced",{"title":2948,"path":2949,"stem":2950},"INSERT запити - Додавання даних","\u002Fdatabases\u002Fsql\u002Finsert-queries","06.databases\u002F03.sql\u002F05.insert-queries",{"title":2952,"path":2953,"stem":2954},"UPDATE та DELETE запити","\u002Fdatabases\u002Fsql\u002Fupdate-delete-queries","06.databases\u002F03.sql\u002F06.update-delete-queries",{"title":2956,"path":2957,"stem":2958},"Транзакції в SQL","\u002Fdatabases\u002Fsql\u002Ftransactions","06.databases\u002F03.sql\u002F07.transactions",{"title":2960,"icon":2865,"path":2961,"stem":2962,"children":2963,"page":59},"Multi Table Databases","\u002Fdatabases\u002Fmulti-table-databases","06.databases\u002F04.multi-table-databases",[2964,2968,2972,2976,2980,2984],{"title":2965,"path":2966,"stem":2967},"Зв'язки та нормалізація БД","\u002Fdatabases\u002Fmulti-table-databases\u002Frelationships-and-normalization","06.databases\u002F04.multi-table-databases\u002F00.relationships-and-normalization",{"title":2969,"path":2970,"stem":2971},"INNER JOIN - З'єднання таблиць","\u002Fdatabases\u002Fmulti-table-databases\u002Finner-join","06.databases\u002F04.multi-table-databases\u002F01.inner-join",{"title":2973,"path":2974,"stem":2975},"OUTER JOINs - LEFT, RIGHT, FULL","\u002Fdatabases\u002Fmulti-table-databases\u002Fouter-joins","06.databases\u002F04.multi-table-databases\u002F02.outer-joins",{"title":2977,"path":2978,"stem":2979},"CROSS та SELF JOINs","\u002Fdatabases\u002Fmulti-table-databases\u002Fcross-self-joins","06.databases\u002F04.multi-table-databases\u002F03.cross-self-joins",{"title":2981,"path":2982,"stem":2983},"Підзапити (Subqueries)","\u002Fdatabases\u002Fmulti-table-databases\u002Fsubqueries","06.databases\u002F04.multi-table-databases\u002F04.subqueries",{"title":2985,"path":2986,"stem":2987},"Агрегації з JOIN","\u002Fdatabases\u002Fmulti-table-databases\u002Faggregations-with-joins","06.databases\u002F04.multi-table-databases\u002F05.aggregations-with-joins",{"title":2989,"icon":2990,"path":2991,"stem":2992,"children":2993,"page":59},"Aggregate Functions","i-lucide-calculator","\u002Fdatabases\u002Faggregate-functions","06.databases\u002F05.aggregate-functions",[2994,2998,3002],{"title":2995,"path":2996,"stem":2997},"Функції агрегування в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fintroduction-aggregate-functions","06.databases\u002F05.aggregate-functions\u002F01.introduction-aggregate-functions",{"title":2999,"path":3000,"stem":3001},"Групування даних в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fgrouping-data","06.databases\u002F05.aggregate-functions\u002F02.grouping-data",{"title":3003,"path":3004,"stem":3005},"Підзапити з агрегатними функціями","\u002Fdatabases\u002Faggregate-functions\u002Fsubqueries-aggregates","06.databases\u002F05.aggregate-functions\u002F03.subqueries-aggregates",{"title":3007,"icon":3008,"path":3009,"stem":3010,"children":3011,"page":59},"Тригери та зберігаємі процедури","i-lucide-database-zap","\u002Fdatabases\u002Ftriggers-stored-procedures","06.databases\u002F07.triggers-stored-procedures",[3012,3016,3020,3024,3028,3032,3036],{"title":3013,"path":3014,"stem":3015},"DML-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fdml-triggers","06.databases\u002F07.triggers-stored-procedures\u002F01.dml-triggers",{"title":3017,"path":3018,"stem":3019},"DDL-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fddl-triggers","06.databases\u002F07.triggers-stored-procedures\u002F02.ddl-triggers",{"title":3021,"path":3022,"stem":3023},"Transact-SQL розширення","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransact-sql-extensions","06.databases\u002F07.triggers-stored-procedures\u002F03.transact-sql-extensions",{"title":3025,"path":3026,"stem":3027},"Транзакції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransactions","06.databases\u002F07.triggers-stored-procedures\u002F04.transactions",{"title":3029,"path":3030,"stem":3031},"Зберігаємі процедури","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fstored-procedures","06.databases\u002F07.triggers-stored-procedures\u002F05.stored-procedures",{"title":3033,"path":3034,"stem":3035},"Користувацькі функції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fuser-defined-functions","06.databases\u002F07.triggers-stored-procedures\u002F06.user-defined-functions",{"title":3037,"path":3038,"stem":3039},"Безпека баз даних","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fsecurity","06.databases\u002F07.triggers-stored-procedures\u002F08.security",{"title":3037,"icon":793,"path":3041,"stem":3042,"children":3043,"page":59},"\u002Fdatabases\u002Fsecurity","06.databases\u002F08.security",[3044,3048],{"title":3045,"path":3046,"stem":3047},"Вступ до безпеки баз даних","\u002Fdatabases\u002Fsecurity\u002Fintroduction","06.databases\u002F08.security\u002F01.introduction",{"title":3049,"path":3050,"stem":3051},"Системні представлення та метадані","\u002Fdatabases\u002Fsecurity\u002Fsystem-views","06.databases\u002F08.security\u002F02.system-views",{"title":3053,"icon":3054,"path":3055,"stem":3056,"children":3057,"page":59},"Резервне копіювання та відновлення","i-lucide-database-backup","\u002Fdatabases\u002Fbackup-recovery","06.databases\u002F09.backup-recovery",[3058],{"title":3053,"path":3059,"stem":3060},"\u002Fdatabases\u002Fbackup-recovery\u002Fbackup-restore","06.databases\u002F09.backup-recovery\u002F01.backup-restore",{"title":3062,"icon":3063,"path":3064,"stem":3065,"children":3066,"page":59},"Повнотекстовий пошук","i-lucide-search","\u002Fdatabases\u002Ffull-text-search","06.databases\u002F10.full-text-search",[3067],{"title":3062,"path":3068,"stem":3069},"\u002Fdatabases\u002Ffull-text-search\u002Ffull-text-search","06.databases\u002F10.full-text-search\u002F01.full-text-search",{"title":3071,"icon":3072,"path":3073,"stem":3074,"children":3075,"page":59},"Tools","i-lucide-wrench","\u002Ftools","07.tools",[3076,3152],{"title":3077,"icon":3078,"path":3079,"stem":3080,"children":3081},"Docker","i-simple-icons-docker","\u002Ftools\u002Fdocker","07.tools\u002F01.docker\u002Findex",[3082,3084,3088,3092,3096,3100,3104,3108,3112,3116,3120,3124,3128,3132,3136,3140,3144,3148],{"title":3083,"path":3079,"stem":3080},"Docker: від нуля до production",{"title":3085,"path":3086,"stem":3087},"Контейнеризація — від проблеми до рішення","\u002Ftools\u002Fdocker\u002Fcontainerization-concept","07.tools\u002F01.docker\u002F01.containerization-concept",{"title":3089,"path":3090,"stem":3091},"Docker — що це і навіщо?","\u002Ftools\u002Fdocker\u002Fdocker-what-and-why","07.tools\u002F01.docker\u002F02.docker-what-and-why",{"title":3093,"path":3094,"stem":3095},"Архітектура Docker Engine","\u002Ftools\u002Fdocker\u002Fdocker-architecture","07.tools\u002F01.docker\u002F03.docker-architecture",{"title":3097,"path":3098,"stem":3099},"Встановлення Docker","\u002Ftools\u002Fdocker\u002Finstallation","07.tools\u002F01.docker\u002F04.installation",{"title":3101,"path":3102,"stem":3103},"Перший контейнер — docker run","\u002Ftools\u002Fdocker\u002Ffirst-container","07.tools\u002F01.docker\u002F05.first-container",{"title":3105,"path":3106,"stem":3107},"Життєвий цикл контейнера","\u002Ftools\u002Fdocker\u002Fcontainer-lifecycle","07.tools\u002F01.docker\u002F06.container-lifecycle",{"title":3109,"path":3110,"stem":3111},"Docker Images — фундаментальні концепції","\u002Ftools\u002Fdocker\u002Fdocker-images-fundamentals","07.tools\u002F01.docker\u002F07.docker-images-fundamentals",{"title":3113,"path":3114,"stem":3115},"Dockerfile — основи","\u002Ftools\u002Fdocker\u002Fdockerfile-basics","07.tools\u002F01.docker\u002F08.dockerfile-basics",{"title":3117,"path":3118,"stem":3119},"Dockerfile — просунуті техніки","\u002Ftools\u002Fdocker\u002Fdockerfile-advanced","07.tools\u002F01.docker\u002F09.dockerfile-advanced",{"title":3121,"path":3122,"stem":3123},"Build Context та кешування шарів","\u002Ftools\u002Fdocker\u002Fbuild-context-and-cache","07.tools\u002F01.docker\u002F10.build-context-and-cache",{"title":3125,"path":3126,"stem":3127},"Реєстри Docker-образів","\u002Ftools\u002Fdocker\u002Fimage-registries","07.tools\u002F01.docker\u002F11.image-registries",{"title":3129,"path":3130,"stem":3131},"Контейнеризація .NET додатків","\u002Ftools\u002Fdocker\u002Fdotnet-containerization","07.tools\u002F01.docker\u002F12.dotnet-containerization",{"title":3133,"path":3134,"stem":3135},"Томи та збереження даних","\u002Ftools\u002Fdocker\u002Fvolumes-and-data","07.tools\u002F01.docker\u002F13.volumes-and-data",{"title":3137,"path":3138,"stem":3139},"Основи мережі в Docker","\u002Ftools\u002Fdocker\u002Fnetworking-basics","07.tools\u002F01.docker\u002F14.networking-basics",{"title":3141,"path":3142,"stem":3143},"Змінні оточення та конфігурація","\u002Ftools\u002Fdocker\u002Fenvironment-and-configuration","07.tools\u002F01.docker\u002F15.environment-and-configuration",{"title":3145,"path":3146,"stem":3147},"Docker Compose — оркестрація контейнерів","\u002Ftools\u002Fdocker\u002Fdocker-compose-basics","07.tools\u002F01.docker\u002F16.docker-compose-basics",{"title":3149,"path":3150,"stem":3151},"Docker Compose — Multi-Service застосунки","\u002Ftools\u002Fdocker\u002Fcompose-multi-service","07.tools\u002F01.docker\u002F17.compose-multi-service",{"title":3153,"icon":3154,"path":3155,"stem":3156,"children":3157},"Kubernetes","simple-icons:kubernetes","\u002Ftools\u002Fkubernetes","07.tools\u002F02.kubernetes\u002Findex",[3158,3160,3164,3168,3172,3176,3180,3184,3188],{"title":3159,"path":3155,"stem":3156},"Kubernetes: від розробки до production",{"title":3161,"path":3162,"stem":3163},"Kubernetes — коли Docker Compose більше не вистачає","\u002Ftools\u002Fkubernetes\u002Fwhy-kubernetes","07.tools\u002F02.kubernetes\u002F01.why-kubernetes",{"title":3165,"path":3166,"stem":3167},"Архітектура Kubernetes — анатомія кластера","\u002Ftools\u002Fkubernetes\u002Fkubernetes-architecture","07.tools\u002F02.kubernetes\u002F02.kubernetes-architecture",{"title":3169,"path":3170,"stem":3171},"Локальне середовище — minikube, kind та k3s","\u002Ftools\u002Fkubernetes\u002Flocal-environment","07.tools\u002F02.kubernetes\u002F03.local-environment",{"title":3173,"path":3174,"stem":3175},"Pod — атомарна одиниця Kubernetes","\u002Ftools\u002Fkubernetes\u002Fpods-and-containers","07.tools\u002F02.kubernetes\u002F04.pods-and-containers",{"title":3177,"path":3178,"stem":3179},"Патерни використання Pod","\u002Ftools\u002Fkubernetes\u002Fpod-patterns","07.tools\u002F02.kubernetes\u002F05.pod-patterns",{"title":3181,"path":3182,"stem":3183},"Deployment — декларативне управління Pod","\u002Ftools\u002Fkubernetes\u002Fdeployment-basics","07.tools\u002F02.kubernetes\u002F06.deployment-basics",{"title":3185,"path":3186,"stem":3187},"Rolling Updates та управління життєвим циклом Deployment","\u002Ftools\u002Fkubernetes\u002Fdeployment-rolling-updates","07.tools\u002F02.kubernetes\u002F07.deployment-rolling-updates",{"title":3189,"path":3190,"stem":3191},"Service — мережева абстракція для Pod","\u002Ftools\u002Fkubernetes\u002Fservices-networking","07.tools\u002F02.kubernetes\u002F08.services-networking",{"title":3193,"icon":3194,"path":3195,"stem":3196,"children":3197,"page":59},"Software Engineering","i-lucide-code-2","\u002Fsoftware-engineering","09.software-engineering",[3198,3202,3206,3210,3214,3218,3222,3226,3230,3234,3238],{"title":3199,"path":3200,"stem":3201},"1. Аналіз предметної області. Експертні знання та складність","\u002Fsoftware-engineering\u002Fintro-subdomains","09.software-engineering\u002F01.intro-subdomains",{"title":3203,"path":3204,"stem":3205},"2. Обмежені контексти. Інтеграція обмежених контекстів","\u002Fsoftware-engineering\u002Fintegrating-limited-contexts","09.software-engineering\u002F02.integrating-limited-contexts",{"title":3207,"path":3208,"stem":3209},"3. Реалізація простої бізнес-логіки","\u002Fsoftware-engineering\u002Fsimple","09.software-engineering\u002F03.simple",{"title":3211,"path":3212,"stem":3213},"4. Опрацювання складної бізнес-логіки","\u002Fsoftware-engineering\u002Fcomplex-business-logic","09.software-engineering\u002F04.complex-business-logic",{"title":3215,"path":3216,"stem":3217},"5. Моделювання фактора часу. Подієво-орієнтована архітектура.","\u002Fsoftware-engineering\u002Fmodelling-the-time-factor","09.software-engineering\u002F05.modelling-the-time-factor",{"title":3219,"path":3220,"stem":3221},"6. Архітектурні патерни","\u002Fsoftware-engineering\u002Farchitectural-patterns","09.software-engineering\u002F06.architectural-patterns",{"title":3223,"path":3224,"stem":3225},"Паттерни взаємодії","\u002Fsoftware-engineering\u002Fpatterns-of-interaction","09.software-engineering\u002F07.patterns-of-interaction",{"title":3227,"path":3228,"stem":3229},"Евристика проєктування","\u002Fsoftware-engineering\u002Fdesign-heuristics","09.software-engineering\u002F08.design-heuristics",{"title":3231,"path":3232,"stem":3233},"Еволюція проєктних рішень","\u002Fsoftware-engineering\u002Fevolution-of-design-solutions","09.software-engineering\u002F09.evolution-of-design-solutions",{"title":3235,"path":3236,"stem":3237},"EventStorming","\u002Fsoftware-engineering\u002Feventstorming","09.software-engineering\u002F10.eventstorming",{"title":3239,"path":3240,"stem":3241},"DDD на практиці","\u002Fsoftware-engineering\u002Fddd-in-practice","09.software-engineering\u002F11.ddd-in-practice",{"title":3243,"icon":943,"path":3244,"stem":3245,"children":3246,"page":59},"DDD","\u002Fddd","10.ddd",[3247,3251,3255,3259,3263,3267,3271,3275,3279,3283,3287,3291,3295],{"title":3248,"path":3249,"stem":3250},"Аналіз предметної області","\u002Fddd\u002Fdomain-analysis","10.ddd\u002F01.domain-analysis",{"title":3252,"path":3253,"stem":3254},"Експертні знання про предметну область","\u002Fddd\u002Fdomain-expert-knowledge","10.ddd\u002F02.domain-expert-knowledge",{"title":3256,"path":3257,"stem":3258},"Як осмислити складність предметної області","\u002Fddd\u002Fmanaging-domain-complexity","10.ddd\u002F03.managing-domain-complexity",{"title":3260,"path":3261,"stem":3262},"Інтеграція обмежених контекстів","\u002Fddd\u002Fbounded-context-integration","10.ddd\u002F04.bounded-context-integration",{"title":3264,"path":3265,"stem":3266},"Реалізація простої бізнес-логіки","\u002Fddd\u002Fsimple-business-logic","10.ddd\u002F05.simple-business-logic",{"title":3268,"path":3269,"stem":3270},"Обробка складної бізнес-логіки","\u002Fddd\u002Fcomplex-business-logic","10.ddd\u002F06.complex-business-logic",{"title":3272,"path":3273,"stem":3274},"Моделювання фактора часу","\u002Fddd\u002Ftime-modeling","10.ddd\u002F07.time-modeling",{"title":3276,"path":3277,"stem":3278},"Глава 8. Архітектурні Патерни","\u002Fddd\u002Farchitectural-patterns","10.ddd\u002F08.architectural-patterns",{"title":3280,"path":3281,"stem":3282},"Глава 9. Патерни Взаємодії","\u002Fddd\u002Finteraction-patterns","10.ddd\u002F09.interaction-patterns",{"title":3284,"path":3285,"stem":3286},"Глава 10. Проектні Евристики","\u002Fddd\u002Fdesign-heuristics","10.ddd\u002F10.design-heuristics",{"title":3288,"path":3289,"stem":3290},"Глава 11. Еволюція Проектних Рішень","\u002Fddd\u002Fevolution-of-design-decisions","10.ddd\u002F11.evolution-of-design-decisions",{"title":3292,"path":3293,"stem":3294},"Глава 12. EventStorming","\u002Fddd\u002Fevent-storming","10.ddd\u002F12.event-storming",{"title":3296,"path":3297,"stem":3298},"Глава 13. DDD на Практиці","\u002Fddd\u002Fddd-in-practice","10.ddd\u002F13.ddd-in-practice",{"title":3300,"icon":3301,"path":3302,"stem":3303,"children":3304,"page":59},"Media Streaming","i-lucide-video","\u002Fmedia-streaming","11.media-streaming",[3305,3309,3313,3317,3321,3325,3329],{"title":3306,"path":3307,"stem":3308},"01. Магія Стрімінгу: Що відбувається, коли ви натискаєте \"Play\"","\u002Fmedia-streaming\u002Fintroduction","11.media-streaming\u002F01.introduction",{"title":3310,"path":3311,"stem":3312},"02. Анатомія Медіа: Кодеки, Контейнери та Стиснення","\u002Fmedia-streaming\u002Faudio-video-anatomy","11.media-streaming\u002F02.audio-video-anatomy",{"title":3314,"path":3315,"stem":3316},"03. The Gym: FFmpeg Deep Dive","\u002Fmedia-streaming\u002Fffmpeg-gym","11.media-streaming\u002F03.ffmpeg-gym",{"title":3318,"path":3319,"stem":3320},"04. HLS Protocol: HTTP Live Streaming у Деталях","\u002Fmedia-streaming\u002Fhls-protocol","11.media-streaming\u002F04.hls-protocol",{"title":3322,"path":3323,"stem":3324},"05. DASH Protocol: Відкритий Стандарт","\u002Fmedia-streaming\u002Fdash-protocol","11.media-streaming\u002F05.dash-protocol",{"title":3326,"path":3327,"stem":3328},"06. Масштабування: CDN та Adaptive Bitrate","\u002Fmedia-streaming\u002Fcdn-and-adaptive-bitrate","11.media-streaming\u002F06.cdn-and-adaptive-bitrate",{"title":3330,"path":3331,"stem":3332},"07. Війна із Затримкою (Latency)","\u002Fmedia-streaming\u002Frealtime-latency","11.media-streaming\u002F07.realtime-latency",{"title":3334,"icon":3335,"path":3336,"stem":3337,"children":3338,"page":59},"HTML & CSS","i-devicon-html5","\u002Fhtml-css","12.html-css",[3339,3343,3347,3351,3355,3359,3363,3367,3371,3375,3379,3383,3387,3391,3395,3399,3403,3407,3411,3415,3419,3423,3427,3431,3435,3439,3443,3447,3451,3455],{"title":3340,"path":3341,"stem":3342},"Вступ до HTML. Структура документа","\u002Fhtml-css\u002Fintro-html-structure","12.html-css\u002F01.intro-html-structure",{"title":3344,"path":3345,"stem":3346},"Форматування тексту в HTML","\u002Fhtml-css\u002Fhtml-text-formatting","12.html-css\u002F02.html-text-formatting",{"title":3348,"path":3349,"stem":3350},"Посилання та зображення в HTML","\u002Fhtml-css\u002Fhtml-links-images","12.html-css\u002F03.html-links-images",{"title":3352,"path":3353,"stem":3354},"Списки та таблиці в HTML","\u002Fhtml-css\u002Fhtml-lists-tables","12.html-css\u002F04.html-lists-tables",{"title":3356,"path":3357,"stem":3358},"Форми в HTML","\u002Fhtml-css\u002Fhtml-forms","12.html-css\u002F05.html-forms",{"title":3360,"path":3361,"stem":3362},"Семантичні елементи HTML5","\u002Fhtml-css\u002Fhtml-semantic-elements","12.html-css\u002F06.html-semantic-elements",{"title":3364,"path":3365,"stem":3366},"Мультимедіа та розширені елементи HTML","\u002Fhtml-css\u002Fhtml-multimedia-advanced","12.html-css\u002F07.html-multimedia-advanced",{"title":3368,"path":3369,"stem":3370},"Мікророзмітка та SEO в HTML","\u002Fhtml-css\u002Fhtml-microdata-seo","12.html-css\u002F08.html-microdata-seo",{"title":3372,"path":3373,"stem":3374},"Вступ до CSS. Селектори та специфічність","\u002Fhtml-css\u002Fcss-intro-selectors","12.html-css\u002F09.css-intro-selectors",{"title":3376,"path":3377,"stem":3378},"Блокова модель CSS. Відступи. Box Sizing","\u002Fhtml-css\u002Fcss-box-model","12.html-css\u002F10.css-box-model",{"title":3380,"path":3381,"stem":3382},"Розміри у CSS: повний довідник одиниць і ключових слів","\u002Fhtml-css\u002F10a.css-sizing","12.html-css\u002F10a.css-sizing",{"title":3384,"path":3385,"stem":3386},"Типографіка в CSS. Шрифти та текст","\u002Fhtml-css\u002Fcss-typography","12.html-css\u002F11.css-typography",{"title":3388,"path":3389,"stem":3390},"Кольори та фони в CSS","\u002Fhtml-css\u002Fcss-colors-backgrounds","12.html-css\u002F12.css-colors-backgrounds",{"title":3392,"path":3393,"stem":3394},"Тіні та фільтри в CSS","\u002Fhtml-css\u002F12b.css-shadows-filters","12.html-css\u002F12b.css-shadows-filters",{"title":3396,"path":3397,"stem":3398},"CSS Flexbox: Фундамент гнучких макетів","\u002Fhtml-css\u002Fcss-flexbox-fundamentals","12.html-css\u002F13.css-flexbox-fundamentals",{"title":3400,"path":3401,"stem":3402},"CSS Flexbox: Вирівнювання та Позиціонування","\u002Fhtml-css\u002Fcss-flexbox-alignment-sizing-and-patterns","12.html-css\u002F14.css-flexbox-alignment-sizing-and-patterns",{"title":3404,"path":3405,"stem":3406},"CSS Grid. Двовимірний макет. Частина 1","\u002Fhtml-css\u002Fcss-layout-grid","12.html-css\u002F15.css-layout-grid",{"title":3408,"path":3409,"stem":3410},"CSS Grid. Двовимірний макет. Частина 2","\u002Fhtml-css\u002Fcss-layout-grid-advanced","12.html-css\u002F16.css-layout-grid-advanced",{"title":3412,"path":3413,"stem":3414},"Позиціонування в CSS. Z-index. Stacking Context","\u002Fhtml-css\u002Fcss-positioning","12.html-css\u002F17.css-positioning",{"title":3416,"path":3417,"stem":3418},"CSS Анімації та Переходи","\u002Fhtml-css\u002Fcss-animations-transitions","12.html-css\u002F18.css-animations-transitions",{"title":3420,"path":3421,"stem":3422},"Адаптивний дизайн. Media Queries. Частина 1","\u002Fhtml-css\u002Fcss-responsive-media-queries","12.html-css\u002F19.css-responsive-media-queries",{"title":3424,"path":3425,"stem":3426},"Адаптивний дизайн. Частина 2: clamp(), Container Queries, @layer","\u002Fhtml-css\u002Fcss-responsive-advanced","12.html-css\u002F20.css-responsive-advanced",{"title":3428,"path":3429,"stem":3430},"CSS Custom Properties. Методології. Сучасний CSS","\u002Fhtml-css\u002Fcss-variables-methodologies","12.html-css\u002F21.css-variables-methodologies",{"title":3432,"path":3433,"stem":3434},"Сучасний CSS 2023–2025: Нові можливості","\u002Fhtml-css\u002Fcss-modern-features","12.html-css\u002F22.css-modern-features",{"title":3436,"path":3437,"stem":3438},"CSS Nesting, @layer, @scope та @property: нативний препроцесор","\u002Fhtml-css\u002F22a.css-nesting-modern-syntax","12.html-css\u002F22a.css-nesting-modern-syntax",{"title":3440,"path":3441,"stem":3442},"CSS для форм та інтерактивних станів","\u002Fhtml-css\u002Fcss-forms-interactive-states","12.html-css\u002F23.css-forms-interactive-states",{"title":3444,"path":3445,"stem":3446},"Доступність у CSS (CSS Accessibility)","\u002Fhtml-css\u002Fcss-accessibility","12.html-css\u002F24.css-accessibility",{"title":3448,"path":3449,"stem":3450},"CSS-функції та сучасні sizing primitives","\u002Fhtml-css\u002Fcss-functions-sizing","12.html-css\u002F25.css-functions-sizing",{"title":3452,"path":3453,"stem":3454},"Rendering Pipeline і CSS Performance","\u002Fhtml-css\u002Fcss-rendering-performance","12.html-css\u002F26.css-rendering-performance",{"title":3456,"path":3457,"stem":3458},"CSS Best Practices: типові ситуації та правильні рішення","\u002Fhtml-css\u002Fcss-best-practices","12.html-css\u002F27.css-best-practices",{"title":3460,"path":3461,"stem":3462,"children":3463,"page":59},"AWS","\u002Faws","13.aws",[3464,3468,3472,3476,3480,3484,3488,3492,3496,3500,3504,3508,3512,3516,3520,3524,3528,3532],{"title":3465,"path":3466,"stem":3467},"Реєстрація AWS акаунту та студентські програми","\u002Faws\u002Faccount-registration","13.aws\u002F00.account-registration",{"title":3469,"path":3470,"stem":3471},"Вступ до хмарних обчислень та AWS","\u002Faws\u002Fintroduction-to-cloud","13.aws\u002F01.introduction-to-cloud",{"title":3473,"path":3474,"stem":3475},"AWS IAM — Identity and Access Management","\u002Faws\u002Fiam","13.aws\u002F02.iam",{"title":3477,"path":3478,"stem":3479},"AWS IAM CLI — Довідник команд","\u002Faws\u002F02a.iam-doc","13.aws\u002F02a.iam-doc",{"title":3481,"path":3482,"stem":3483},"Docker та контейнеризація в AWS — ECR, ECS та Fargate","\u002Faws\u002Fdocker-ecs","13.aws\u002F03.docker-ecs",{"title":3485,"path":3486,"stem":3487},"AWS ECR \u002F ECS CLI — Довідник команд","\u002Faws\u002F03a.docker-ecs-doc","13.aws\u002F03a.docker-ecs-doc",{"title":3489,"path":3490,"stem":3491},"Amazon EC2 — Elastic Compute Cloud","\u002Faws\u002Fec2","13.aws\u002F04.ec2",{"title":3493,"path":3494,"stem":3495},"AWS EC2 CLI — Довідник команд","\u002Faws\u002F04a.ec2-doc","13.aws\u002F04a.ec2-doc",{"title":3497,"path":3498,"stem":3499},"Elastic Load Balancing та Auto Scaling","\u002Faws\u002Falb-asg","13.aws\u002F05.alb-asg",{"title":3501,"path":3502,"stem":3503},"Amazon S3 — Simple Storage Service","\u002Faws\u002Fs3","13.aws\u002F06.s3",{"title":3505,"path":3506,"stem":3507},"Amazon CloudFront — Content Delivery Network","\u002Faws\u002Fcloudfront","13.aws\u002F07.cloudfront",{"title":3509,"path":3510,"stem":3511},"Amazon RDS — Relational Database Service","\u002Faws\u002Frds","13.aws\u002F08.rds",{"title":3513,"path":3514,"stem":3515},"Amazon DynamoDB — NoSQL Database","\u002Faws\u002Fdynamodb","13.aws\u002F09.dynamodb",{"title":3517,"path":3518,"stem":3519},"AWS Lambda та Serverless Compute","\u002Faws\u002Flambda","13.aws\u002F10.lambda",{"title":3521,"path":3522,"stem":3523},"Amazon Bedrock - Foundation Models, RAG та Agents","\u002Faws\u002Fbedrock","13.aws\u002F22.bedrock",{"title":3525,"path":3526,"stem":3527},"Amazon Rekognition - Комп'ютерний зір","\u002Faws\u002Frekognition","13.aws\u002F23.rekognition",{"title":3529,"path":3530,"stem":3531},"Amazon Textract - Інтелектуальний аналіз документів","\u002Faws\u002Ftextract","13.aws\u002F24.textract",{"title":3533,"path":3534,"stem":3535},"Amazon Polly, Transcribe, Comprehend та Translate","\u002Faws\u002Faudio-nlp-services","13.aws\u002F25.audio-nlp-services",{"title":3537,"path":3538,"stem":3539,"children":3540,"page":59},"Ai Development","\u002Fai-development","14.ai-development",[3541],{"title":3542,"path":3543,"stem":3544,"children":3545,"page":59},"Foundations","\u002Fai-development\u002Ffoundations","14.ai-development\u002F00.foundations",[3546],{"title":3547,"path":3548,"stem":3549},"Модуль 0.1. Що таке Large Language Model (LLM)","\u002Fai-development\u002Ffoundations\u002Fwhat-is-llm","14.ai-development\u002F00.foundations\u002F01.what-is-llm",{"title":3551,"path":3552,"stem":3553,"children":3554,"page":59},"React Native","\u002Freact-native","15.react-native",[3555,3576],{"title":3556,"path":3557,"stem":3558,"children":3559,"page":59},"Version1","\u002Freact-native\u002Fversion1","15.react-native\u002Fversion1",[3560,3564,3568,3572],{"title":3561,"path":3562,"stem":3563},"Що таке React Native","\u002Freact-native\u002Fversion1\u002Fwhat-is-react-native","15.react-native\u002Fversion1\u002F01.what-is-react-native",{"title":3565,"path":3566,"stem":3567},"Як влаштований React Native «під капотом»","\u002Freact-native\u002Fversion1\u002Freact-native-architecture","15.react-native\u002Fversion1\u002F02.react-native-architecture",{"title":3569,"path":3570,"stem":3571},"Від React до React Native: ключові відмінності","\u002Freact-native\u002Fversion1\u002Freact-native-vs-react","15.react-native\u002Fversion1\u002F03.react-native-vs-react",{"title":3573,"path":3574,"stem":3575},"View та Text — фундаментальні будівельні блоки","\u002Freact-native\u002Fversion1\u002Fview-and-text","15.react-native\u002Fversion1\u002F04.view-and-text",{"title":3577,"path":3578,"stem":3579,"children":3580,"page":59},"Version2","\u002Freact-native\u002Fversion2","15.react-native\u002Fversion2",[3581,3585,3589,3593,3597,3601,3605,3609,3613,3617,3621,3625,3629,3633,3637,3641,3645,3649,3653,3657,3661,3665,3669,3673,3677,3681,3685],{"title":3582,"path":3583,"stem":3584},"React Native — навіщо він потрібен","\u002Freact-native\u002Fversion2\u002Fwhy-react-native","15.react-native\u002Fversion2\u002F01.why-react-native",{"title":3586,"path":3587,"stem":3588},"Налаштування середовища розробки","\u002Freact-native\u002Fversion2\u002Fenvironment-setup","15.react-native\u002Fversion2\u002F02.environment-setup",{"title":3590,"path":3591,"stem":3592},"Expo і класичний React Native — два шляхи одного фреймворку","\u002Freact-native\u002Fversion2\u002Fexpo-vs-cli-landscape","15.react-native\u002Fversion2\u002F03.expo-vs-cli-landscape",{"title":3594,"path":3595,"stem":3596},"Середовище Expo — перший запуск","\u002Freact-native\u002Fversion2\u002Fexpo-setup-and-tooling","15.react-native\u002Fversion2\u002F04.expo-setup-and-tooling",{"title":3598,"path":3599,"stem":3600},"Структура проєкту та перші UI-примітиви","\u002Freact-native\u002Fversion2\u002Fproject-structure-and-conventions","15.react-native\u002Fversion2\u002F05.project-structure-and-conventions",{"title":3602,"path":3603,"stem":3604},"Базові компоненти React Native","\u002Freact-native\u002Fversion2\u002Fcore-components","15.react-native\u002Fversion2\u002F06.core-components",{"title":3606,"path":3607,"stem":3608},"Flexbox і layout у React Native","\u002Freact-native\u002Fversion2\u002Fflexbox-and-layout","15.react-native\u002Fversion2\u002F07.flexbox-and-layout",{"title":3610,"path":3611,"stem":3612},"StyleSheet і теми (light \u002F dark)","\u002Freact-native\u002Fversion2\u002Fstylesheet-and-theming","15.react-native\u002Fversion2\u002F08.stylesheet-and-theming",{"title":3614,"path":3615,"stem":3616},"Списки та віртуалізація","\u002Freact-native\u002Fversion2\u002Flists-and-virtualization","15.react-native\u002Fversion2\u002F09.lists-and-virtualization",{"title":3618,"path":3619,"stem":3620},"Форми, ввід і валідація","\u002Freact-native\u002Fversion2\u002Fforms-input-validation","15.react-native\u002Fversion2\u002F10.forms-input-validation",{"title":3622,"path":3623,"stem":3624},"Основи Expo Router","\u002Freact-native\u002Fversion2\u002Fexpo-router-basics","15.react-native\u002Fversion2\u002F11.expo-router-basics",{"title":3626,"path":3627,"stem":3628},"Вкладені навігатори та модалки","\u002Freact-native\u002Fversion2\u002Fnested-navigators-and-modals","15.react-native\u002Fversion2\u002F12.nested-navigators-and-modals",{"title":3630,"path":3631,"stem":3632},"Deep linking і параметри маршрутів","\u002Freact-native\u002Fversion2\u002Fdeep-linking-and-params","15.react-native\u002Fversion2\u002F13.deep-linking-and-params",{"title":3634,"path":3635,"stem":3636},"Робота з мережею та життєвий цикл застосунку","\u002Freact-native\u002Fversion2\u002Fnetworking-and-app-lifecycle","15.react-native\u002Fversion2\u002F14.networking-and-app-lifecycle",{"title":3638,"path":3639,"stem":3640},"Redux Toolkit на мобільних платформах","\u002Freact-native\u002Fversion2\u002Fredux-toolkit-on-mobile","15.react-native\u002Fversion2\u002F15.redux-toolkit-on-mobile",{"title":3642,"path":3643,"stem":3644},"RTK Query на мобільних платформах","\u002Freact-native\u002Fversion2\u002Frtk-query-mobile","15.react-native\u002Fversion2\u002F16.rtk-query-mobile",{"title":3646,"path":3647,"stem":3648},"Автентифікація та Безпечне Зберігання","\u002Freact-native\u002Fversion2\u002Fauth-secure-storage","15.react-native\u002Fversion2\u002F18.auth-secure-storage",{"title":3650,"path":3651,"stem":3652},"Локальне сховище — AsyncStorage, MMKV, SQLite","\u002Freact-native\u002Fversion2\u002Flocal-storage-mmkv-sqlite","15.react-native\u002Fversion2\u002F19.local-storage-mmkv-sqlite",{"title":3654,"path":3655,"stem":3656},"Офлайн-First і синхронізація","\u002Freact-native\u002Fversion2\u002Foffline-first-sync","15.react-native\u002Fversion2\u002F20.offline-first-sync",{"title":3658,"path":3659,"stem":3660},"Камера, медіа та файлова система","\u002Freact-native\u002Fversion2\u002Fcamera-media-filesystem","15.react-native\u002Fversion2\u002F21.camera-media-filesystem",{"title":3662,"path":3663,"stem":3664},"Карти та геолокація","\u002Freact-native\u002Fversion2\u002Fmaps-and-location","15.react-native\u002Fversion2\u002F22.maps-and-location",{"title":3666,"path":3667,"stem":3668},"Жести та дотики","\u002Freact-native\u002Fversion2\u002Fgestures-and-touch","15.react-native\u002Fversion2\u002F23.gestures-and-touch",{"title":3670,"path":3671,"stem":3672},"Анімації з Reanimated","\u002Freact-native\u002Fversion2\u002Freanimated-animations","15.react-native\u002Fversion2\u002F24.reanimated-animations",{"title":3674,"path":3675,"stem":3676},"Push і локальні сповіщення","\u002Freact-native\u002Fversion2\u002Fpush-and-local-notifications","15.react-native\u002Fversion2\u002F25.push-and-local-notifications",{"title":3678,"path":3679,"stem":3680},"Інтернаціоналізація та доступність","\u002Freact-native\u002Fversion2\u002Faccessibility-and-i18n","15.react-native\u002Fversion2\u002F26.accessibility-and-i18n",{"title":3682,"path":3683,"stem":3684},"EAS Build та профілі збірки","\u002Freact-native\u002Fversion2\u002Feas-build-and-profiles","15.react-native\u002Fversion2\u002F29.eas-build-and-profiles",{"title":3686,"path":3687,"stem":3688},"Публікація в App Store та Google Play","\u002Freact-native\u002Fversion2\u002Fapp-store-play-release","15.react-native\u002Fversion2\u002F30.app-store-play-release",{"title":3690,"path":3691,"stem":3692,"children":3693,"page":59},"Ai Python","\u002Fai-python","16.ai-python",[3694,3703,3712,3721,3750,3776,3801,3834,3851,3864,3873,3886,3895,3916,3929,3950],{"title":3695,"path":3696,"stem":3697,"children":3698,"page":59},"Intro To Ai","\u002Fai-python\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai",[3699],{"title":3700,"path":3701,"stem":3702},"Вступ до штучного інтелекту та машинного навчання","\u002Fai-python\u002Fintro-to-ai\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai\u002F01.intro-to-ai",{"title":3704,"path":3705,"stem":3706,"children":3707,"page":59},"Jupyter Notebook","\u002Fai-python\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook",[3708],{"title":3709,"path":3710,"stem":3711},"Знайомство з Jupyter Notebook та JupyterLab","\u002Fai-python\u002Fjupyter-notebook\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook\u002F02.jupyter-notebook",{"title":3713,"path":3714,"stem":3715,"children":3716,"page":59},"Numpy Pandas","\u002Fai-python\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas",[3717],{"title":3718,"path":3719,"stem":3720},"Робота з даними з використанням NumPy і pandas","\u002Fai-python\u002Fnumpy-pandas\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas\u002F03.numpy-pandas",{"title":3722,"path":3723,"stem":3724,"children":3725,"page":59},"Statistics Basics","\u002Fai-python\u002Fstatistics-basics","16.ai-python\u002F04.statistics-basics",[3726,3730,3734,3738,3742,3746],{"title":3727,"path":3728,"stem":3729},"Випадкові величини та їх типи","\u002Fai-python\u002Fstatistics-basics\u002Frandom-variables","16.ai-python\u002F04.statistics-basics\u002F01.random-variables",{"title":3731,"path":3732,"stem":3733},"Міри центральної тенденції","\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency","16.ai-python\u002F04.statistics-basics\u002F02.central-tendency",{"title":3735,"path":3736,"stem":3737},"Міри варіації (розсіювання)","\u002Fai-python\u002Fstatistics-basics\u002Fvariability","16.ai-python\u002F04.statistics-basics\u002F03.variability",{"title":3739,"path":3740,"stem":3741},"Розподіли випадкових величин","\u002Fai-python\u002Fstatistics-basics\u002Fdistributions","16.ai-python\u002F04.statistics-basics\u002F04.distributions",{"title":3743,"path":3744,"stem":3745},"Кореляція та взаємозв'язки","\u002Fai-python\u002Fstatistics-basics\u002Fcorrelation","16.ai-python\u002F04.statistics-basics\u002F05.correlation",{"title":3747,"path":3748,"stem":3749},"Викиди та аномалії","\u002Fai-python\u002Fstatistics-basics\u002Foutliers","16.ai-python\u002F04.statistics-basics\u002F06.outliers",{"title":3751,"path":3752,"stem":3753,"children":3754},"Візуалізація даних за допомогою matplotlib","\u002Fai-python\u002Fdata-visualization","16.ai-python\u002F05.data-visualization\u002Findex",[3755,3756,3760,3764,3768,3772],{"title":3751,"path":3752,"stem":3753},{"title":3757,"path":3758,"stem":3759},"Основи matplotlib — Figure, Axes та перший графік","\u002Fai-python\u002Fdata-visualization\u002Fmatplotlib-basics","16.ai-python\u002F05.data-visualization\u002F01.matplotlib-basics",{"title":3761,"path":3762,"stem":3763},"Візуалізація розподілів — гістограми та box plots","\u002Fai-python\u002Fdata-visualization\u002Fdistributions","16.ai-python\u002F05.data-visualization\u002F02.distributions",{"title":3765,"path":3766,"stem":3767},"Візуалізація залежностей — scatter plots та кореляція","\u002Fai-python\u002Fdata-visualization\u002Frelationships","16.ai-python\u002F05.data-visualization\u002F03.relationships",{"title":3769,"path":3770,"stem":3771},"Візуалізація категоріальних даних — bar charts та pie charts","\u002Fai-python\u002Fdata-visualization\u002Fcategorical","16.ai-python\u002F05.data-visualization\u002F04.categorical",{"title":3773,"path":3774,"stem":3775},"Композиції та стилізація — subplots та багатопанельні дашборди","\u002Fai-python\u002Fdata-visualization\u002Fsubplots-styling","16.ai-python\u002F05.data-visualization\u002F05.subplots-styling",{"title":3777,"path":3778,"stem":3779,"children":3780,"page":59},"Linear Regression","\u002Fai-python\u002Flinear-regression","16.ai-python\u002F06.linear-regression",[3781,3785,3789,3793,3797],{"title":3782,"path":3783,"stem":3784},"Регресійна задача та лінійна регресія з однією змінною","\u002Fai-python\u002Flinear-regression\u002Fregression-task","16.ai-python\u002F06.linear-regression\u002F01.regression-task",{"title":3786,"path":3787,"stem":3788},"Метрики якості регресії — як оцінити модель","\u002Fai-python\u002Flinear-regression\u002Fquality-metrics","16.ai-python\u002F06.linear-regression\u002F02.quality-metrics",{"title":3790,"path":3791,"stem":3792},"Градієнтний спуск — як модель навчається","\u002Fai-python\u002Flinear-regression\u002Fgradient-descent","16.ai-python\u002F06.linear-regression\u002F03.gradient-descent",{"title":3794,"path":3795,"stem":3796},"Множинна лінійна регресія — модель з багатьма ознаками","\u002Fai-python\u002Flinear-regression\u002Fmultiple-regression","16.ai-python\u002F06.linear-regression\u002F04.multiple-regression",{"title":3798,"path":3799,"stem":3800},"Практичні завдання та резюме модуля","\u002Fai-python\u002Flinear-regression\u002Fpractice","16.ai-python\u002F06.linear-regression\u002F05.practice",{"title":3802,"path":3803,"stem":3804,"children":3805,"page":59},"Practical Regression","\u002Fai-python\u002Fpractical-regression","16.ai-python\u002F07.practical-regression",[3806,3810,3814,3818,3822,3826,3830],{"title":3807,"path":3808,"stem":3809},"Знайомство з scikit-learn","\u002Fai-python\u002Fpractical-regression\u002Fintro-scikit-learn","16.ai-python\u002F07.practical-regression\u002F01.intro-scikit-learn",{"title":3811,"path":3812,"stem":3813},"Exploratory Data Analysis датасету Housing Prices","\u002Fai-python\u002Fpractical-regression\u002Fhousing-dataset-eda","16.ai-python\u002F07.practical-regression\u002F02.housing-dataset-eda",{"title":3815,"path":3816,"stem":3817},"Попередня обробка даних (Data Preprocessing)","\u002Fai-python\u002Fpractical-regression\u002Fdata-preprocessing","16.ai-python\u002F07.practical-regression\u002F03.data-preprocessing",{"title":3819,"path":3820,"stem":3821},"Train\u002FTest Split та перша повноцінна модель","\u002Fai-python\u002Fpractical-regression\u002Ftrain-test-split","16.ai-python\u002F07.practical-regression\u002F04.train-test-split",{"title":3823,"path":3824,"stem":3825},"Перенавчання та недонавчання","\u002Fai-python\u002Fpractical-regression\u002Foverfitting-underfitting","16.ai-python\u002F07.practical-regression\u002F05.overfitting-underfitting",{"title":3827,"path":3828,"stem":3829},"Крос-валідація (Cross-Validation)","\u002Fai-python\u002Fpractical-regression\u002Fcross-validation","16.ai-python\u002F07.practical-regression\u002F06.cross-validation",{"title":3831,"path":3832,"stem":3833},"Гіперпараметри та їх оптимізація","\u002Fai-python\u002Fpractical-regression\u002Fhyperparameter-tuning","16.ai-python\u002F07.practical-regression\u002F07.hyperparameter-tuning",{"title":3835,"path":3836,"stem":3837,"children":3838,"page":59},"Polynomial Regression","\u002Fai-python\u002Fpolynomial-regression","16.ai-python\u002F08.polynomial-regression",[3839,3843,3847],{"title":3840,"path":3841,"stem":3842},"Нелінійні залежності та поліноміальна регресія","\u002Fai-python\u002Fpolynomial-regression\u002Fnonlinear-patterns","16.ai-python\u002F08.polynomial-regression\u002F01.nonlinear-patterns",{"title":3844,"path":3845,"stem":3846},"Регуляризація в регресії — Ridge та Lasso","\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods","16.ai-python\u002F08.polynomial-regression\u002F02.regularization-methods",{"title":3848,"path":3849,"stem":3850},"Практика — поліноміальна регресія та регуляризація на Housing Prices","\u002Fai-python\u002Fpolynomial-regression\u002Fhousing-prices-practice","16.ai-python\u002F08.polynomial-regression\u002F03.housing-prices-practice",{"title":3852,"path":3853,"stem":3854,"children":3855,"page":59},"Decision Trees Random Forest","\u002Fai-python\u002Fdecision-trees-random-forest","16.ai-python\u002F09.decision-trees-random-forest",[3856,3860],{"title":3857,"path":3858,"stem":3859},"Дерева рішень — моделі з прозорою та зрозумілою логікою","\u002Fai-python\u002Fdecision-trees-random-forest\u002Fdecision-trees","16.ai-python\u002F09.decision-trees-random-forest\u002F01.decision-trees",{"title":3861,"path":3862,"stem":3863},"Random Forest — ансамблі дерев рішень","\u002Fai-python\u002Fdecision-trees-random-forest\u002Frandom-forest","16.ai-python\u002F09.decision-trees-random-forest\u002F02.random-forest",{"title":3865,"path":3866,"stem":3867,"children":3868,"page":59},"Gradient Boosting","\u002Fai-python\u002Fgradient-boosting","16.ai-python\u002F10.gradient-boosting",[3869],{"title":3870,"path":3871,"stem":3872},"Градієнтний бустинг та XGBoost — послідовне виправлення помилок","\u002Fai-python\u002Fgradient-boosting\u002Fgradient-boosting-xgboost","16.ai-python\u002F10.gradient-boosting\u002F01.gradient-boosting-xgboost",{"title":3874,"path":3875,"stem":3876,"children":3877,"page":59},"Logistic Regression Classification","\u002Fai-python\u002Flogistic-regression-classification","16.ai-python\u002F11.logistic-regression-classification",[3878,3882],{"title":3879,"path":3880,"stem":3881},"Основи класифікації та логістична регресія","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-basics","16.ai-python\u002F11.logistic-regression-classification\u002F01.classification-basics",{"title":3883,"path":3884,"stem":3885},"Метрики якості класифікації","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-metrics","16.ai-python\u002F11.logistic-regression-classification\u002F02.classification-metrics",{"title":3887,"path":3888,"stem":3889,"children":3890,"page":59},"Neural Networks Basics","\u002Fai-python\u002Fneural-networks-basics","16.ai-python\u002F12.neural-networks-basics",[3891],{"title":3892,"path":3893,"stem":3894},"Вступ до нейронних мереж — від персептрона до багатошарових мереж","\u002Fai-python\u002Fneural-networks-basics\u002Fperceptron-to-mlp","16.ai-python\u002F12.neural-networks-basics\u002F01.perceptron-to-mlp",{"title":3896,"path":3897,"stem":3898,"children":3899,"page":59},"Pytorch Intro","\u002Fai-python\u002Fpytorch-intro","16.ai-python\u002F13.pytorch-intro",[3900,3904,3908,3912],{"title":3901,"path":3902,"stem":3903},"Тензори та автоматичне диференціювання в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Ftensors-and-autograd","16.ai-python\u002F13.pytorch-intro\u002F01.tensors-and-autograd",{"title":3905,"path":3906,"stem":3907},"Побудова та тренування нейронних мереж у PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fbuilding-and-training","16.ai-python\u002F13.pytorch-intro\u002F02.building-and-training",{"title":3909,"path":3910,"stem":3911},"Робота з даними та регуляризація в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fdata-and-regularization","16.ai-python\u002F13.pytorch-intro\u002F03.data-and-regularization",{"title":3913,"path":3914,"stem":3915},"Просунуті теми PyTorch — GPU, оптимізація та deployment","\u002Fai-python\u002Fpytorch-intro\u002Fadvanced-topics","16.ai-python\u002F13.pytorch-intro\u002F04.advanced-topics",{"title":3917,"path":3918,"stem":3919,"children":3920,"page":59},"Activation Functions Heart Disease","\u002Fai-python\u002Factivation-functions-heart-disease","16.ai-python\u002F14.activation-functions-heart-disease",[3921,3925],{"title":3922,"path":3923,"stem":3924},"Функції активації та побудова нейронної мережі для передбачення вад серця","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fheart-disease-prediction","16.ai-python\u002F14.activation-functions-heart-disease\u002F01.heart-disease-prediction",{"title":3926,"path":3927,"stem":3928},"Бонус — Повний приклад Student Performance Prediction","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fstudent-performance-bonus","16.ai-python\u002F14.activation-functions-heart-disease\u002F02.student-performance-bonus",{"title":3930,"path":3931,"stem":3932,"children":3933,"page":59},"Cnn Image Classification","\u002Fai-python\u002Fcnn-image-classification","16.ai-python\u002F15.cnn-image-classification",[3934,3938,3942,3946],{"title":3935,"path":3936,"stem":3937},"Основи згорткових нейронних мереж — чому не MLP?","\u002Fai-python\u002Fcnn-image-classification\u002Fcnn-fundamentals","16.ai-python\u002F15.cnn-image-classification\u002F01.cnn-fundamentals",{"title":3939,"path":3940,"stem":3941},"Практична імплементація CNN для класифікації MNIST","\u002Fai-python\u002Fcnn-image-classification\u002Fmnist-classification","16.ai-python\u002F15.cnn-image-classification\u002F02.mnist-classification",{"title":3943,"path":3944,"stem":3945},"Глибші CNN та аугментація даних для CIFAR-10","\u002Fai-python\u002Fcnn-image-classification\u002Fcifar10-and-data-augmentation","16.ai-python\u002F15.cnn-image-classification\u002F03.cifar10-and-data-augmentation",{"title":3947,"path":3948,"stem":3949},"Transfer Learning та візуалізація внутрішніх представлень CNN","\u002Fai-python\u002Fcnn-image-classification\u002Ftransfer-learning-and-visualization","16.ai-python\u002F15.cnn-image-classification\u002F04.transfer-learning-and-visualization",{"title":3951,"path":3952,"stem":3953,"children":3954,"page":59},"Batching Normalization Deep Networks","\u002Fai-python\u002Fbatching-normalization-deep-networks","16.ai-python\u002F16.batching-normalization-deep-networks",[3955,3959,3963,3967,3971,3975,3979],{"title":3956,"path":3957,"stem":3958},"Mini-batch Gradient Descent та ефективна обробка даних","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent","16.ai-python\u002F16.batching-normalization-deep-networks\u002F01.mini-batch-gradient-descent",{"title":3960,"path":3961,"stem":3962},"Ініціалізація ваг — фундамент стабільного навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fweight-initialization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F02.weight-initialization",{"title":3964,"path":3965,"stem":3966},"Batch Normalization — прорив у глибокому навчанні","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fbatch-normalization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F03.batch-normalization",{"title":3968,"path":3969,"stem":3970},"Dropout та комбіновані стратегії регуляризації","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdropout-and-regularization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F04.dropout-and-regularization",{"title":3972,"path":3973,"stem":3974},"Проєктування глибоких мереж — від теорії до практики","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdeep-networks-architectures","16.ai-python\u002F16.batching-normalization-deep-networks\u002F05.deep-networks-architectures",{"title":3976,"path":3977,"stem":3978},"Планування learning rate — коли та як зменшувати крок навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Flearning-rate-scheduling","16.ai-python\u002F16.batching-normalization-deep-networks\u002F06.learning-rate-scheduling",{"title":3980,"path":3981,"stem":3982},"Підсумковий проєкт — побудова сучасного класифікатора зображень","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Ffinal-project-deep-classifier","16.ai-python\u002F16.batching-normalization-deep-networks\u002F07.final-project-deep-classifier",{"title":3984,"icon":658,"path":3985,"stem":3986,"children":3987,"page":59},"Клієнт-серверна архітектура","\u002Fclient-server-architecture","17.client-server-architecture",[3988,3992,3996,4000,4004,4008,4012,4016,4020,4024,4028,4032,4036,4040,4044,4048,4052,4056],{"title":3989,"path":3990,"stem":3991},"Архітектура клієнт-серверних систем та основи Go","\u002Fclient-server-architecture\u002Fclient-server-architecture-and-go","17.client-server-architecture\u002F01.client-server-architecture-and-go",{"title":3993,"path":3994,"stem":3995},"Система типів та модель пам’яті мови Go","\u002Fclient-server-architecture\u002Ftype-system-and-memory-model","17.client-server-architecture\u002F02.type-system-and-memory-model",{"title":3997,"path":3998,"stem":3999},"Інтерфейси та модель конкурентності мови Go","\u002Fclient-server-architecture\u002Finterfaces-and-concurrency-model","17.client-server-architecture\u002F03.interfaces-and-concurrency-model",{"title":4001,"path":4002,"stem":4003},"Сокетне програмування та протокол TCP у Go","\u002Fclient-server-architecture\u002Ftcp-socket-programming","17.client-server-architecture\u002F04.tcp-socket-programming",{"title":4005,"path":4006,"stem":4007},"Протокол UDP та датаграмна передача даних","\u002Fclient-server-architecture\u002Fudp-datagram-transmission","17.client-server-architecture\u002F05.udp-datagram-transmission",{"title":4009,"path":4010,"stem":4011},"Криптографічний захист каналів зв","\u002Fclient-server-architecture\u002Ftls-cryptographic-channel-protection","17.client-server-architecture\u002F06.tls-cryptographic-channel-protection",{"title":4013,"path":4014,"stem":4015},"Прикладні мережеві протоколи DNS та SMTP","\u002Fclient-server-architecture\u002Fdns-smtp-application-protocols","17.client-server-architecture\u002F07.dns-smtp-application-protocols",{"title":4017,"path":4018,"stem":4019},"Протокол HTTP та стандартний вебсервер Go","\u002Fclient-server-architecture\u002Fhttp-protocol-and-web-server","17.client-server-architecture\u002F08.http-protocol-and-web-server",{"title":4021,"path":4022,"stem":4023},"Проєктування REST API та маршрутизація засобами Chi","\u002Fclient-server-architecture\u002Frest-api-design-and-chi-routing","17.client-server-architecture\u002F09.rest-api-design-and-chi-routing",{"title":4025,"path":4026,"stem":4027},"Лекція 10. Шарувата архітектура та конвеєри обробки запитів","\u002Fclient-server-architecture\u002Flayered-architecture-and-middleware-pipelines","17.client-server-architecture\u002F10.layered-architecture-and-middleware-pipelines",{"title":4029,"path":4030,"stem":4031},"Лекція 11. Архітектура та маршрутизація фреймворку Gin","\u002Fclient-server-architecture\u002Fgin-framework-architecture-and-routing","17.client-server-architecture\u002F11.gin-framework-architecture-and-routing",{"title":4033,"path":4034,"stem":4035},"Лекція 12. Валідація даних, безпека та документування у Gin","\u002Fclient-server-architecture\u002Fdata-validation-security-and-documentation-in-gin","17.client-server-architecture\u002F12.data-validation-security-and-documentation-in-gin",{"title":4037,"path":4038,"stem":4039},"Лекція 13. Взаємодія з реляційними СУБД та технології ORM","\u002Fclient-server-architecture\u002Frelational-databases-and-orm","17.client-server-architecture\u002F13.relational-databases-and-orm",{"title":4041,"path":4042,"stem":4043},"Потокова передача даних та протокол WebSocket","\u002Fclient-server-architecture\u002Fstreaming-data-and-websockets","17.client-server-architecture\u002F14.streaming-data-and-websockets",{"title":4045,"path":4046,"stem":4047},"Міжсервісна взаємодія на основі протоколу gRPC","\u002Fclient-server-architecture\u002Fgrpc-inter-service-communication","17.client-server-architecture\u002F15.grpc-inter-service-communication",{"title":4049,"path":4050,"stem":4051},"Асинхронний обмін повідомленнями та протоколи черг","\u002Fclient-server-architecture\u002Fasynchronous-message-exchange-and-queue-protocols","17.client-server-architecture\u002F16.asynchronous-message-exchange-and-queue-protocols",{"title":4053,"path":4054,"stem":4055},"Протоколи потокового медіа та технологія WebRTC","\u002Fclient-server-architecture\u002Fstreaming-media-protocols-and-webrtc","17.client-server-architecture\u002F17.streaming-media-protocols-and-webrtc",{"title":4057,"path":4058,"stem":4059},"Моніторинг, безпека та контейнеризація застосунків","\u002Fclient-server-architecture\u002Fmonitoring-security-and-containerization","17.client-server-architecture\u002F18.monitoring-security-and-containerization",{"title":4061,"icon":2118,"path":4062,"stem":4063,"children":4064,"page":59},"Розробка WEB-застосувань","\u002Fweb-development","18.web-development",[4065,4110,4148,4177,4206,4263,4313,4407,4473,4555,4588,4616,4658,4704,4747],{"title":4066,"icon":658,"path":4067,"stem":4068,"children":4069,"page":59},"Архітектура комп'ютерних мереж та мережеві протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols","18.web-development\u002F01.network-architecture-and-protocols",[4070,4074,4078,4082,4086,4090,4094,4098,4102,4106],{"title":4071,"path":4072,"stem":4073},"Еволюція веброзробки та модель клієнт-сервер","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fweb-evolution-client-server","18.web-development\u002F01.network-architecture-and-protocols\u002F01.web-evolution-client-server",{"title":4075,"path":4076,"stem":4077},"Еталонна модель OSI","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fosi-model","18.web-development\u002F01.network-architecture-and-protocols\u002F02.osi-model",{"title":4079,"path":4080,"stem":4081},"Стек протоколів TCP\u002FIP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-ip-stack","18.web-development\u002F01.network-architecture-and-protocols\u002F03.tcp-ip-stack",{"title":4083,"path":4084,"stem":4085},"IP-адресація, порти та сокети","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fip-addressing-ports-sockets","18.web-development\u002F01.network-architecture-and-protocols\u002F04.ip-addressing-ports-sockets",{"title":4087,"path":4088,"stem":4089},"Протоколи TCP та UDP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-udp-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F05.tcp-udp-protocols",{"title":4091,"path":4092,"stem":4093},"Система доменних імен DNS","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fdns-system","18.web-development\u002F01.network-architecture-and-protocols\u002F06.dns-system",{"title":4095,"path":4096,"stem":4097},"Протокол SMTP та поштові протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fsmtp-email-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F07.smtp-email-protocols",{"title":4099,"path":4100,"stem":4101},"Протокол WebSocket","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fwebsocket-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F08.websocket-protocol",{"title":4103,"path":4104,"stem":4105},"Протокол SSH","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fssh-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F09.ssh-protocol",{"title":4107,"path":4108,"stem":4109},"Огляд сучасних серверних технологій","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fmodern-backend-technologies","18.web-development\u002F01.network-architecture-and-protocols\u002F10.modern-backend-technologies",{"title":4111,"icon":4112,"path":4113,"stem":4114,"children":4115,"page":59},"Протокол HTTP та захищена передача даних HTTPS","i-lucide-lock","\u002Fweb-development\u002Fhttp-and-https","18.web-development\u002F02.http-and-https",[4116,4120,4124,4128,4132,4136,4140,4144],{"title":4117,"path":4118,"stem":4119},"Вступ до протоколу HTTP та еволюція веб-технологій","\u002Fweb-development\u002Fhttp-and-https\u002Fintroduction-and-evolution","18.web-development\u002F02.http-and-https\u002F01.introduction-and-evolution",{"title":4121,"path":4122,"stem":4123},"Анатомія HTTP-запиту","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-request-structure","18.web-development\u002F02.http-and-https\u002F02.http-request-structure",{"title":4125,"path":4126,"stem":4127},"Анатомія HTTP-відповіді","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-response-structure","18.web-development\u002F02.http-and-https\u002F03.http-response-structure",{"title":4129,"path":4130,"stem":4131},"Методи HTTP та їхня семантика","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-methods","18.web-development\u002F02.http-and-https\u002F04.http-methods",{"title":4133,"path":4134,"stem":4135},"Коди статусу HTTP та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-status-codes","18.web-development\u002F02.http-and-https\u002F05.http-status-codes",{"title":4137,"path":4138,"stem":4139},"HTTP-заголовки та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-headers","18.web-development\u002F02.http-and-https\u002F06.http-headers",{"title":4141,"path":4142,"stem":4143},"CORS та механізми безпеки HTTP","\u002Fweb-development\u002Fhttp-and-https\u002Fcors-and-security","18.web-development\u002F02.http-and-https\u002F07.cors-and-security",{"title":4145,"path":4146,"stem":4147},"HTTPS та криптографічні основи TLS","\u002Fweb-development\u002Fhttp-and-https\u002Fhttps-and-tls","18.web-development\u002F02.http-and-https\u002F08.https-and-tls",{"title":4149,"icon":2498,"path":4150,"stem":4151,"children":4152,"page":59},"Система типів мови TypeScript","\u002Fweb-development\u002Ftypescript-type-system","18.web-development\u002F03.typescript-type-system",[4153,4157,4161,4165,4169,4173],{"title":4154,"path":4155,"stem":4156},"Знайомство з TypeScript Compiler","\u002Fweb-development\u002Ftypescript-type-system\u002Fintroduction-compiler-config","18.web-development\u002F03.typescript-type-system\u002F01.introduction-compiler-config",{"title":4158,"path":4159,"stem":4160},"Примітивні типи даних: string, number, boolean","\u002Fweb-development\u002Ftypescript-type-system\u002Fprimitive-special-types","18.web-development\u002F03.typescript-type-system\u002F02.primitive-special-types",{"title":4162,"path":4163,"stem":4164},"Масиви, кортежі та об","\u002Fweb-development\u002Ftypescript-type-system\u002Farrays-tuples-objects","18.web-development\u002F03.typescript-type-system\u002F03.arrays-tuples-objects",{"title":4166,"path":4167,"stem":4168},"Псевдоніми типів, Union типи, Intersection типи та літеральні типи","\u002Fweb-development\u002Ftypescript-type-system\u002Funion-intersection-literals","18.web-development\u002F03.typescript-type-system\u002F04.union-intersection-literals",{"title":4170,"path":4171,"stem":4172},"Type Narrowing (звуження типів)","\u002Fweb-development\u002Ftypescript-type-system\u002Ftype-narrowing","18.web-development\u002F03.typescript-type-system\u002F05.type-narrowing",{"title":4174,"path":4175,"stem":4176},"Типізація функцій","\u002Fweb-development\u002Ftypescript-type-system\u002Ffunctions-typing","18.web-development\u002F03.typescript-type-system\u002F06.functions-typing",{"title":4178,"icon":2498,"path":4179,"stem":4180,"children":4181,"page":59},"Розширені засоби мови TypeScript","\u002Fweb-development\u002Ftypescript-advanced","18.web-development\u002F04.typescript-advanced",[4182,4186,4190,4194,4198,4202],{"title":4183,"path":4184,"stem":4185},"Interfaces та Classes","\u002Fweb-development\u002Ftypescript-advanced\u002Finterfaces-classes","18.web-development\u002F04.typescript-advanced\u002F01.interfaces-classes",{"title":4187,"path":4188,"stem":4189},"Основи Generic типів","\u002Fweb-development\u002Ftypescript-advanced\u002Fgenerics-fundamentals","18.web-development\u002F04.typescript-advanced\u002F02.generics-fundamentals",{"title":4191,"path":4192,"stem":4193},"Enums та Decorators","\u002Fweb-development\u002Ftypescript-advanced\u002Fenums-decorators","18.web-development\u002F04.typescript-advanced\u002F03.enums-decorators",{"title":4195,"path":4196,"stem":4197},"Utility Types","\u002Fweb-development\u002Ftypescript-advanced\u002Futility-types","18.web-development\u002F04.typescript-advanced\u002F04.utility-types",{"title":4199,"path":4200,"stem":4201},"Mapped та Conditional Types","\u002Fweb-development\u002Ftypescript-advanced\u002Fmapped-conditional-types","18.web-development\u002F04.typescript-advanced\u002F05.mapped-conditional-types",{"title":4203,"path":4204,"stem":4205},"Модулі та Strict Mode","\u002Fweb-development\u002Ftypescript-advanced\u002Fmodules-strict-mode","18.web-development\u002F04.typescript-advanced\u002F06.modules-strict-mode",{"title":4207,"icon":4208,"path":4209,"stem":4210,"children":4211,"page":59},"Платформа Node.js як середовище виконання","i-devicon-nodejs","\u002Fweb-development\u002Fnodejs-platform","18.web-development\u002F05.nodejs-platform",[4212,4216,4220,4224,4228,4232,4236,4240,4244,4248,4252,4255,4259],{"title":4213,"path":4214,"stem":4215},"Що таке Node.js та його архітектура","\u002Fweb-development\u002Fnodejs-platform\u002Fwhat-is-nodejs","18.web-development\u002F05.nodejs-platform\u002F01.what-is-nodejs",{"title":4217,"path":4218,"stem":4219},"Event Loop — серце Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fevent-loop","18.web-development\u002F05.nodejs-platform\u002F02.event-loop",{"title":4221,"path":4222,"stem":4223},"Модульні системи: CommonJS vs ES Modules","\u002Fweb-development\u002Fnodejs-platform\u002Fmodule-systems","18.web-development\u002F05.nodejs-platform\u002F03.module-systems",{"title":4225,"path":4226,"stem":4227},"npm та package.json","\u002Fweb-development\u002Fnodejs-platform\u002Fnpm-package-json","18.web-development\u002F05.nodejs-platform\u002F04.npm-package-json",{"title":4229,"path":4230,"stem":4231},"Глобальні об\\","\u002Fweb-development\u002Fnodejs-platform\u002Fglobal-objects","18.web-development\u002F05.nodejs-platform\u002F05.global-objects",{"title":4233,"path":4234,"stem":4235},"Вбудований модуль fs (File System)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-fs","18.web-development\u002F05.nodejs-platform\u002F06.built-in-modules-fs",{"title":4237,"path":4238,"stem":4239},"Вбудований модуль path","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-path","18.web-development\u002F05.nodejs-platform\u002F07.built-in-modules-path",{"title":4241,"path":4242,"stem":4243},"Вбудований модуль http","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-http","18.web-development\u002F05.nodejs-platform\u002F08.built-in-modules-http",{"title":4245,"path":4246,"stem":4247},"Streams — потоки даних у Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fstreams","18.web-development\u002F05.nodejs-platform\u002F09.streams",{"title":4249,"path":4250,"stem":4251},"Вбудований модуль util (Utilities)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-util","18.web-development\u002F05.nodejs-platform\u002F10.built-in-modules-util",{"title":3141,"path":4253,"stem":4254},"\u002Fweb-development\u002Fnodejs-platform\u002Fenvironment-variables","18.web-development\u002F05.nodejs-platform\u002F11.environment-variables",{"title":4256,"path":4257,"stem":4258},"Інструменти налагодження та розробки","\u002Fweb-development\u002Fnodejs-platform\u002Fdebugging-tools","18.web-development\u002F05.nodejs-platform\u002F12.debugging-tools",{"title":4260,"path":4261,"stem":4262},"Продуктивність та Best Practices","\u002Fweb-development\u002Fnodejs-platform\u002Fperformance-best-practices","18.web-development\u002F05.nodejs-platform\u002F13.performance-best-practices",{"title":4264,"icon":4265,"path":4266,"stem":4267,"children":4268,"page":59},"Асинхронне програмування у Node.js","i-lucide-clock","\u002Fweb-development\u002Fasync-programming-nodejs","18.web-development\u002F06.async-programming-nodejs",[4269,4273,4277,4281,4285,4289,4293,4297,4301,4305,4309],{"title":4270,"path":4271,"stem":4272},"Синхронний vs асинхронний код","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fsync-vs-async","18.web-development\u002F06.async-programming-nodejs\u002F01.sync-vs-async",{"title":4274,"path":4275,"stem":4276},"Callbacks — перша парадигма асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fcallbacks","18.web-development\u002F06.async-programming-nodejs\u002F02.callbacks",{"title":4278,"path":4279,"stem":4280},"Promises — стандарт асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromises","18.web-development\u002F06.async-programming-nodejs\u002F03.promises",{"title":4282,"path":4283,"stem":4284},"Promise комбінатори","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromise-combinators","18.web-development\u002F06.async-programming-nodejs\u002F04.promise-combinators",{"title":4286,"path":4287,"stem":4288},"Async\u002FAwait — синтаксичний цукор над Promises","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fasync-await","18.web-development\u002F06.async-programming-nodejs\u002F05.async-await",{"title":4290,"path":4291,"stem":4292},"Паралельне vs послідовне виконання","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fparallel-vs-sequential","18.web-development\u002F06.async-programming-nodejs\u002F06.parallel-vs-sequential",{"title":4294,"path":4295,"stem":4296},"EventEmitter — подієва модель Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fevent-emitter","18.web-development\u002F06.async-programming-nodejs\u002F07.event-emitter",{"title":4298,"path":4299,"stem":4300},"Worker Threads — багатопотоковість у Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fworker-threads","18.web-development\u002F06.async-programming-nodejs\u002F08.worker-threads",{"title":4302,"path":4303,"stem":4304},"Child Processes — запуск зовнішніх процесів","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fchild-processes","18.web-development\u002F06.async-programming-nodejs\u002F09.child-processes",{"title":4306,"path":4307,"stem":4308},"Обробка помилок у асинхронному коді","\u002Fweb-development\u002Fasync-programming-nodejs\u002Ferror-handling","18.web-development\u002F06.async-programming-nodejs\u002F10.error-handling",{"title":4310,"path":4311,"stem":4312},"Порівняння Node.js фреймворків","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fnodejs-frameworks","18.web-development\u002F06.async-programming-nodejs\u002F11.nodejs-frameworks",{"title":4314,"icon":4315,"path":4316,"stem":4317,"children":4318,"page":59},"Тема 7. Фреймворк NestJS. Контролери та маршрутизація","i-lucide-route","\u002Fweb-development\u002Fnestjs-controllers-routing","18.web-development\u002F07.nestjs-controllers-routing",[4319,4323,4327,4331,4335,4339,4343,4347,4351,4355,4359,4363,4367,4371,4375,4379,4383,4387,4391,4395,4399,4403],{"title":4320,"path":4321,"stem":4322},"Філософія та архітектура NestJS","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-philosophy","18.web-development\u002F07.nestjs-controllers-routing\u002F01.nestjs-philosophy",{"title":4324,"path":4325,"stem":4326},"Три стовпи архітектури: модулі, контролери, провайдери","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fthree-pillars","18.web-development\u002F07.nestjs-controllers-routing\u002F02.three-pillars",{"title":4328,"path":4329,"stem":4330},"Інверсія керування (IoC) та ін","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fioc-and-di","18.web-development\u002F07.nestjs-controllers-routing\u002F03.ioc-and-di",{"title":4332,"path":4333,"stem":4334},"Встановлення NestJS CLI та створення проєкту","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-setup","18.web-development\u002F07.nestjs-controllers-routing\u002F04.nestjs-cli-setup",{"title":4336,"path":4337,"stem":4338},"Структура проєкту NestJS та конвенції","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fproject-structure","18.web-development\u002F07.nestjs-controllers-routing\u002F05.project-structure",{"title":4340,"path":4341,"stem":4342},"Контролери: основи маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontrollers-basics","18.web-development\u002F07.nestjs-controllers-routing\u002F06.controllers-basics",{"title":4344,"path":4345,"stem":4346},"Декоратори маршрутизації HTTP-методів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F07.route-decorators",{"title":4348,"path":4349,"stem":4350},"Параметри маршруту та декоратор @Param","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F08.route-parameters",{"title":4352,"path":4353,"stem":4354},"Query-параметри та декоратор @Query","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fquery-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F09.query-parameters",{"title":4356,"path":4357,"stem":4358},"Тіло запиту та декоратор @Body","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-body","18.web-development\u002F07.nestjs-controllers-routing\u002F10.request-body",{"title":4360,"path":4361,"stem":4362},"Робота з заголовками запиту та відповіді","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fheaders-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F11.headers-decorators",{"title":4364,"path":4365,"stem":4366},"Data Transfer Objects (DTO): визначення та призначення","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fdto-introduction","18.web-development\u002F07.nestjs-controllers-routing\u002F12.dto-introduction",{"title":4368,"path":4369,"stem":4370},"Об'єкти Request та Response","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-response-objects","18.web-development\u002F07.nestjs-controllers-routing\u002F13.request-response-objects",{"title":4372,"path":4373,"stem":4374},"HTTP-статус коди та декоратор @HttpCode","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fhttp-status-codes","18.web-development\u002F07.nestjs-controllers-routing\u002F14.http-status-codes",{"title":4376,"path":4377,"stem":4378},"Перенаправлення (Redirects) та декоратор @Redirect","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fredirects","18.web-development\u002F07.nestjs-controllers-routing\u002F15.redirects",{"title":4380,"path":4381,"stem":4382},"Асинхронні обробники та Observables","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fasync-handlers","18.web-development\u002F07.nestjs-controllers-routing\u002F16.async-handlers",{"title":4384,"path":4385,"stem":4386},"Маршрутизація за піддоменами та версіонування API","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fsub-domain-routing","18.web-development\u002F07.nestjs-controllers-routing\u002F17.sub-domain-routing",{"title":4388,"path":4389,"stem":4390},"Області видимості контролерів (Scopes)","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontroller-scopes","18.web-development\u002F07.nestjs-controllers-routing\u002F18.controller-scopes",{"title":4392,"path":4393,"stem":4394},"Основні команди NestJS CLI","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-commands","18.web-development\u002F07.nestjs-controllers-routing\u002F19.nestjs-cli-commands",{"title":4396,"path":4397,"stem":4398},"Практичний приклад: створення CRUD-контролера","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcrud-example","18.web-development\u002F07.nestjs-controllers-routing\u002F20.crud-example",{"title":4400,"path":4401,"stem":4402},"Тестування контролерів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Ftesting-controllers","18.web-development\u002F07.nestjs-controllers-routing\u002F21.testing-controllers",{"title":4404,"path":4405,"stem":4406},"Best Practices для контролерів та маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fbest-practices","18.web-development\u002F07.nestjs-controllers-routing\u002F22.best-practices",{"title":4408,"icon":4409,"path":4410,"stem":4411,"children":4412,"page":59},"Тема 8. Провайдери, сервіси та модульна система NestJS","i-lucide-package","\u002Fweb-development\u002Fnestjs-providers-modules","18.web-development\u002F08.nestjs-providers-modules",[4413,4417,4421,4425,4429,4433,4437,4441,4445,4449,4453,4457,4461,4465,4469],{"title":4414,"path":4415,"stem":4416},"Концепція провайдерів у NestJS","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fproviders-concept","18.web-development\u002F08.nestjs-providers-modules\u002F01.providers-concept",{"title":4418,"path":4419,"stem":4420},"Сервіси: інкапсуляція бізнес-логіки","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fservices-business-logic","18.web-development\u002F08.nestjs-providers-modules\u002F02.services-business-logic",{"title":4422,"path":4423,"stem":4424},"Практика ін","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdependency-injection-practice","18.web-development\u002F08.nestjs-providers-modules\u002F03.dependency-injection-practice",{"title":4426,"path":4427,"stem":4428},"Custom Providers: useValue, useClass, useFactory, useExisting","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcustom-providers","18.web-development\u002F08.nestjs-providers-modules\u002F04.custom-providers",{"title":4430,"path":4431,"stem":4432},"Injection Tokens: рядкові та символьні токени","\u002Fweb-development\u002Fnestjs-providers-modules\u002Finjection-tokens","18.web-development\u002F08.nestjs-providers-modules\u002F05.injection-tokens",{"title":4434,"path":4435,"stem":4436},"Опціональні провайдери та декоратор @Optional","\u002Fweb-development\u002Fnestjs-providers-modules\u002Foptional-providers","18.web-development\u002F08.nestjs-providers-modules\u002F07.optional-providers",{"title":4438,"path":4439,"stem":4440},"Структура модулів: imports, controllers, providers, exports","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodules-structure","18.web-development\u002F08.nestjs-providers-modules\u002F08.modules-structure",{"title":4442,"path":4443,"stem":4444},"Feature Modules: ізоляція функціональності","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ffeature-modules","18.web-development\u002F08.nestjs-providers-modules\u002F09.feature-modules",{"title":4446,"path":4447,"stem":4448},"Shared Modules: перевикористання провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fshared-modules","18.web-development\u002F08.nestjs-providers-modules\u002F10.shared-modules",{"title":4450,"path":4451,"stem":4452},"Global Modules та декоратор @Global","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fglobal-modules","18.web-development\u002F08.nestjs-providers-modules\u002F11.global-modules",{"title":4454,"path":4455,"stem":4456},"Dynamic Modules: конфігурація під час виконання","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdynamic-modules","18.web-development\u002F08.nestjs-providers-modules\u002F12.dynamic-modules",{"title":4458,"path":4459,"stem":4460},"Циклічні залежності та forwardRef","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcircular-dependencies","18.web-development\u002F08.nestjs-providers-modules\u002F13.circular-dependencies",{"title":4462,"path":4463,"stem":4464},"Lifecycle Hooks: хуки життєвого циклу","\u002Fweb-development\u002Fnestjs-providers-modules\u002Flifecycle-hooks","18.web-development\u002F08.nestjs-providers-modules\u002F14.lifecycle-hooks",{"title":4466,"path":4467,"stem":4468},"ModuleRef: динамічний доступ до провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodule-reference","18.web-development\u002F08.nestjs-providers-modules\u002F15.module-reference",{"title":4470,"path":4471,"stem":4472},"Тестування сервісів та провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ftesting-services","18.web-development\u002F08.nestjs-providers-modules\u002F16.testing-services",{"title":4474,"icon":4475,"path":4476,"stem":4477,"children":4478,"page":59},"Тема 9. Валідація даних та конвеєр обробки запитів у NestJS","i-lucide-filter","\u002Fweb-development\u002Fnestjs-validation-pipeline","18.web-development\u002F09.nestjs-validation-pipeline",[4479,4483,4487,4491,4495,4499,4503,4507,4511,4515,4519,4523,4527,4531,4535,4539,4543,4547,4551],{"title":4480,"path":4481,"stem":4482},"Request Pipeline: конвеєр обробки запитів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Frequest-pipeline","18.web-development\u002F09.nestjs-validation-pipeline\u002F01.request-pipeline",{"title":4484,"path":4485,"stem":4486},"Pipes: концепція трансформації та валідації","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipes-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F02.pipes-concept",{"title":4488,"path":4489,"stem":4490},"Вбудовані pipes: ParseIntPipe, ParseBoolPipe, ParseUUIDPipe","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fbuilt-in-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F03.built-in-pipes",{"title":4492,"path":4493,"stem":4494},"ValidationPipe: автоматична валідація DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fvalidation-pipe","18.web-development\u002F09.nestjs-validation-pipeline\u002F04.validation-pipe",{"title":4496,"path":4497,"stem":4498},"Декоратори class-validator для DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fclass-validator-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F05.class-validator-decorators",{"title":4500,"path":4501,"stem":4502},"Створення кастомних валідаторів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-validators","18.web-development\u002F09.nestjs-validation-pipeline\u002F06.custom-validators",{"title":4504,"path":4505,"stem":4506},"Створення власних Pipes","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F07.custom-pipes",{"title":4508,"path":4509,"stem":4510},"Основи Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-basics","18.web-development\u002F09.nestjs-validation-pipeline\u002F08.middleware-basics",{"title":4512,"path":4513,"stem":4514},"Практичні приклади Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F09.middleware-examples",{"title":4516,"path":4517,"stem":4518},"Guards: захисні перехоплювачі доступу","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fguards-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F10.guards-concept",{"title":4520,"path":4521,"stem":4522},"Створення кастомних Guards","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-guards","18.web-development\u002F09.nestjs-validation-pipeline\u002F11.custom-guards",{"title":4524,"path":4525,"stem":4526},"Interceptors: перехоплення та трансформація відповідей","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptors-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F12.interceptors-concept",{"title":4528,"path":4529,"stem":4530},"Практичні приклади Interceptors","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptor-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F13.interceptor-examples",{"title":4532,"path":4533,"stem":4534},"Exception Filters: обробка виключень","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F14.exception-filters",{"title":4536,"path":4537,"stem":4538},"Custom Exception Filters: спеціалізовані фільтри","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-exception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F15.custom-exception-filters",{"title":4540,"path":4541,"stem":4542},"Execution Context: контекст виконання","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexecution-context","18.web-development\u002F09.nestjs-validation-pipeline\u002F16.execution-context",{"title":4544,"path":4545,"stem":4546},"Custom Decorators: власні декоратори","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F17.custom-decorators",{"title":4548,"path":4549,"stem":4550},"Global Components: глобальні компоненти","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fglobal-components","18.web-development\u002F09.nestjs-validation-pipeline\u002F18.global-components",{"title":4552,"path":4553,"stem":4554},"Pipeline Best Practices: найкращі практики","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipeline-best-practices","18.web-development\u002F09.nestjs-validation-pipeline\u002F19.pipeline-best-practices",{"title":4556,"icon":2865,"path":4557,"stem":4558,"children":4559,"page":59},"Інтеграція реляційних баз даних засобами TypeORM","\u002Fweb-development\u002Ftypeorm-integration","18.web-development\u002F10.typeorm-integration",[4560,4564,4568,4572,4576,4580,4584],{"title":4561,"path":4562,"stem":4563},"Робота з базами даних у Node.js через нативні драйвери","\u002Fweb-development\u002Ftypeorm-integration\u002F01-nodejs-database-drivers","18.web-development\u002F10.typeorm-integration\u002F01-nodejs-database-drivers",{"title":4565,"path":4566,"stem":4567},"ORM та знайомство з TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F02-orm-and-typeorm-intro","18.web-development\u002F10.typeorm-integration\u002F02-orm-and-typeorm-intro",{"title":4569,"path":4570,"stem":4571},"Налаштування TypeORM у NestJS проєкті","\u002Fweb-development\u002Ftypeorm-integration\u002F03-typeorm-setup-nestjs","18.web-development\u002F10.typeorm-integration\u002F03-typeorm-setup-nestjs",{"title":4573,"path":4574,"stem":4575},"Entity класи та декоратори TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F04-entities-and-decorators","18.web-development\u002F10.typeorm-integration\u002F04-entities-and-decorators",{"title":4577,"path":4578,"stem":4579},"Repository Pattern та CRUD операції","\u002Fweb-development\u002Ftypeorm-integration\u002F05-repository-pattern-crud","18.web-development\u002F10.typeorm-integration\u002F05-repository-pattern-crud",{"title":4581,"path":4582,"stem":4583},"Пагінація та фільтрація даних","\u002Fweb-development\u002Ftypeorm-integration\u002F06-pagination-filtering","18.web-development\u002F10.typeorm-integration\u002F06-pagination-filtering",{"title":4585,"path":4586,"stem":4587},"QueryBuilder для складних запитів","\u002Fweb-development\u002Ftypeorm-integration\u002F07-query-builder","18.web-development\u002F10.typeorm-integration\u002F07-query-builder",{"title":4589,"icon":4590,"path":4591,"stem":4592,"children":4593,"page":59},"Зв'язки між сутностями, міграції та оптимізація запитів","i-lucide-git-branch","\u002Fweb-development\u002Fentity-relations-migrations","18.web-development\u002F11.entity-relations-migrations",[4594,4598,4602,4606,4610],{"title":4595,"path":4596,"stem":4597},"Зв'язки One-to-Many та Many-to-One","\u002Fweb-development\u002Fentity-relations-migrations\u002F01-one-to-many-many-to-one","18.web-development\u002F11.entity-relations-migrations\u002F01-one-to-many-many-to-one",{"title":4599,"path":4600,"stem":4601},"Зв'язки One-to-One та Many-to-Many","\u002Fweb-development\u002Fentity-relations-migrations\u002F02-one-to-one-many-to-many","18.web-development\u002F11.entity-relations-migrations\u002F02-one-to-one-many-to-many",{"title":4603,"path":4604,"stem":4605},"Керування міграціями бази даних","\u002Fweb-development\u002Fentity-relations-migrations\u002F03-migrations-management","18.web-development\u002F11.entity-relations-migrations\u002F03-migrations-management",{"title":4607,"path":4608,"stem":4609},"Транзакції у TypeORM","\u002Fweb-development\u002Fentity-relations-migrations\u002F04-transactions","18.web-development\u002F11.entity-relations-migrations\u002F04-transactions",{"title":4611,"path":4612,"stem":4613,"children":4614},"Індекси та оптимізація запитів","\u002Fweb-development\u002Fentity-relations-migrations\u002F05-indexes-optimization","18.web-development\u002F11.entity-relations-migrations\u002F05-indexes-optimization",[4615],{"title":4611,"path":4612,"stem":4613},{"title":4617,"icon":4618,"path":4619,"stem":4620,"children":4621,"page":59},"Механізми автентифікації у вебзастосунках","i-lucide-key","\u002Fweb-development\u002Fauthentication","18.web-development\u002F12.authentication",[4622,4626,4630,4634,4638,4642,4646,4650,4654],{"title":4623,"path":4624,"stem":4625},"Автентифікація vs Авторизація","\u002Fweb-development\u002Fauthentication\u002F01-authentication-vs-authorization","18.web-development\u002F12.authentication\u002F01-authentication-vs-authorization",{"title":4627,"path":4628,"stem":4629},"Стратегії автентифікації","\u002Fweb-development\u002Fauthentication\u002F02-authentication-strategies","18.web-development\u002F12.authentication\u002F02-authentication-strategies",{"title":4631,"path":4632,"stem":4633},"Автентифікація на основі сесій","\u002Fweb-development\u002Fauthentication\u002F03-session-based-authentication","18.web-development\u002F12.authentication\u002F03-session-based-authentication",{"title":4635,"path":4636,"stem":4637},"Структура JSON Web Token (JWT)","\u002Fweb-development\u002Fauthentication\u002F04-jwt-structure","18.web-development\u002F12.authentication\u002F04-jwt-structure",{"title":4639,"path":4640,"stem":4641},"Інтеграція JWT у NestJS","\u002Fweb-development\u002Fauthentication\u002F05-nestjs-jwt-integration","18.web-development\u002F12.authentication\u002F05-nestjs-jwt-integration",{"title":4643,"path":4644,"stem":4645},"Passport.js стратегії у NestJS","\u002Fweb-development\u002Fauthentication\u002F06-passport-strategies","18.web-development\u002F12.authentication\u002F06-passport-strategies",{"title":4647,"path":4648,"stem":4649},"Безпечне зберігання паролів: хешування та криптографічний захист","\u002Fweb-development\u002Fauthentication\u002F07-password-hashing","18.web-development\u002F12.authentication\u002F07-password-hashing",{"title":4651,"path":4652,"stem":4653},"Refresh Token та безпечне оновлення доступу","\u002Fweb-development\u002Fauthentication\u002F08-refresh-tokens","18.web-development\u002F12.authentication\u002F08-refresh-tokens",{"title":4655,"path":4656,"stem":4657},"OAuth 2.0 та OpenID Connect: делегована автентифікація","\u002Fweb-development\u002Fauthentication\u002F09-oauth2-openid","18.web-development\u002F12.authentication\u002F09-oauth2-openid",{"title":4659,"icon":4660,"path":4661,"stem":4662,"children":4663,"page":59},"Авторизація та безпека серверних застосунків","i-lucide-shield","\u002Fweb-development\u002Fauthorization-security","18.web-development\u002F13.authorization-security",[4664,4668,4672,4676,4680,4684,4688,4692,4696,4700],{"title":4665,"path":4666,"stem":4667},"Моделі авторизації","\u002Fweb-development\u002Fauthorization-security\u002F01-authorization-models","18.web-development\u002F13.authorization-security\u002F01-authorization-models",{"title":4669,"path":4670,"stem":4671},"Реалізація RBAC у NestJS","\u002Fweb-development\u002Fauthorization-security\u002F02-rbac-implementation","18.web-development\u002F13.authorization-security\u002F02-rbac-implementation",{"title":4673,"path":4674,"stem":4675},"Permission-Based Access Control","\u002Fweb-development\u002Fauthorization-security\u002F03-permission-based-access","18.web-development\u002F13.authorization-security\u002F03-permission-based-access",{"title":4677,"path":4678,"stem":4679},"ABAC та бібліотека CASL","\u002Fweb-development\u002Fauthorization-security\u002F04-abac-casl","18.web-development\u002F13.authorization-security\u002F04-abac-casl",{"title":4681,"path":4682,"stem":4683},"Кастомні декоратори та метадані","\u002Fweb-development\u002Fauthorization-security\u002F05-custom-decorators-metadata","18.web-development\u002F13.authorization-security\u002F05-custom-decorators-metadata",{"title":4685,"path":4686,"stem":4687},"Конфігурація CORS","\u002Fweb-development\u002Fauthorization-security\u002F06-cors-configuration","18.web-development\u002F13.authorization-security\u002F06-cors-configuration",{"title":4689,"path":4690,"stem":4691},"Захист через HTTP Security Headers (Helmet)","\u002Fweb-development\u002Fauthorization-security\u002F07-helmet-security-headers","18.web-development\u002F13.authorization-security\u002F07-helmet-security-headers",{"title":4693,"path":4694,"stem":4695},"Rate Limiting та Throttling","\u002Fweb-development\u002Fauthorization-security\u002F08-rate-limiting-throttling","18.web-development\u002F13.authorization-security\u002F08-rate-limiting-throttling",{"title":4697,"path":4698,"stem":4699},"Захист від поширених атак","\u002Fweb-development\u002Fauthorization-security\u002F09-common-attacks-protection","18.web-development\u002F13.authorization-security\u002F09-common-attacks-protection",{"title":4701,"path":4702,"stem":4703},"HTTPS у продакшені","\u002Fweb-development\u002Fauthorization-security\u002F10-https-production","18.web-development\u002F13.authorization-security\u002F10-https-production",{"title":4705,"icon":871,"path":4706,"stem":4707,"children":4708,"page":59},"Комунікація у реальному часі, нотифікації та фонові задачі","\u002Fweb-development\u002Frealtime-notifications-jobs","18.web-development\u002F14.realtime-notifications-jobs",[4709,4713,4717,4721,4725,4729,4732,4735,4739,4743],{"title":4710,"path":4711,"stem":4712},"Методи комунікації у реальному часі","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F01-realtime-communication-methods","18.web-development\u002F14.realtime-notifications-jobs\u002F01-realtime-communication-methods",{"title":4714,"path":4715,"stem":4716},"WebSocket Gateway у NestJS","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F02-websocket-gateway","18.web-development\u002F14.realtime-notifications-jobs\u002F02-websocket-gateway",{"title":4718,"path":4719,"stem":4720},"Lifecycle та Rooms у WebSocket","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F03-websocket-lifecycle-rooms","18.web-development\u002F14.realtime-notifications-jobs\u002F03-websocket-lifecycle-rooms",{"title":4722,"path":4723,"stem":4724},"Server-Sent Events (SSE)","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F04-server-sent-events","18.web-development\u002F14.realtime-notifications-jobs\u002F04-server-sent-events",{"title":4726,"path":4727,"stem":4728},"Архітектура системи нотифікацій","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F05-notification-system","18.web-development\u002F14.realtime-notifications-jobs\u002F05-notification-system",{"title":904,"path":4730,"stem":4731},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F06-email-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F06-email-notifications",{"title":900,"path":4733,"stem":4734},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F07-web-push-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F07-web-push-notifications",{"title":4736,"path":4737,"stem":4738},"Фонові задачі та черги","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F08-background-jobs-queues","18.web-development\u002F14.realtime-notifications-jobs\u002F08-background-jobs-queues",{"title":4740,"path":4741,"stem":4742},"Планувальники та Cron jobs","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F09-schedulers-cron","18.web-development\u002F14.realtime-notifications-jobs\u002F09-schedulers-cron",{"title":4744,"path":4745,"stem":4746},"Практичні сценарії застосування","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F10-practical-scenarios","18.web-development\u002F14.realtime-notifications-jobs\u002F10-practical-scenarios",{"title":4748,"icon":4749,"path":4750,"stem":4751,"children":4752,"page":59},"Тестування, документування та розгортання застосунків","i-lucide-rocket","\u002Fweb-development\u002Ftesting-documentation-deployment","18.web-development\u002F15.testing-documentation-deployment",[4753,4757,4761,4765,4769,4773,4777,4781,4785,4789],{"title":4754,"path":4755,"stem":4756},"Піраміда тестування та стратегія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F01-testing-pyramid-strategy","18.web-development\u002F15.testing-documentation-deployment\u002F01-testing-pyramid-strategy",{"title":4758,"path":4759,"stem":4760},"Основи Jest у NestJS","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F02-jest-nestjs-basics","18.web-development\u002F15.testing-documentation-deployment\u002F02-jest-nestjs-basics",{"title":4762,"path":4763,"stem":4764},"Unit-тестування сервісів","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F03-unit-testing-services","18.web-development\u002F15.testing-documentation-deployment\u002F03-unit-testing-services",{"title":4766,"path":4767,"stem":4768},"E2E тестування та покриття коду","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F04-e2e-testing-coverage","18.web-development\u002F15.testing-documentation-deployment\u002F04-e2e-testing-coverage",{"title":4770,"path":4771,"stem":4772},"Swagger, OpenAPI, Scalar та Arazzo","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F05-swagger-openapi","18.web-development\u002F15.testing-documentation-deployment\u002F05-swagger-openapi",{"title":4774,"path":4775,"stem":4776},"Керування конфігурацією","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F06-configuration-management","18.web-development\u002F15.testing-documentation-deployment\u002F06-configuration-management",{"title":4778,"path":4779,"stem":4780},"Docker та контейнеризація","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F07-docker-containerization","18.web-development\u002F15.testing-documentation-deployment\u002F07-docker-containerization",{"title":4782,"path":4783,"stem":4784},"CI\u002FCD Pipelines","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F08-cicd-pipelines","18.web-development\u002F15.testing-documentation-deployment\u002F08-cicd-pipelines",{"title":4786,"path":4787,"stem":4788},"Логування та моніторинг","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F09-logging-monitoring","18.web-development\u002F15.testing-documentation-deployment\u002F09-logging-monitoring",{"title":4790,"path":4791,"stem":4792},"Серіалізація та компресія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F10-serialization-compression","18.web-development\u002F15.testing-documentation-deployment\u002F10-serialization-compression",{"title":4794,"icon":4795,"path":4796,"stem":4797,"children":4798,"page":59},"AI Core: мислення AI","i-lucide-brain","\u002Fai-core","19.ai-core",[4799,4840,4889,4927],{"title":4800,"icon":4749,"path":4801,"stem":4802,"children":4803,"page":59},"Вхід у професію AI Native Developer","\u002Fai-core\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer",[4804,4808,4812,4816,4820,4824,4828,4832,4836],{"title":4805,"path":4806,"stem":4807},"Вступ до професії розробника цифрових продуктів","\u002Fai-core\u002Fai-native-developer\u002Fdigital-products","19.ai-core\u002F01.ai-native-developer\u002F01.digital-products",{"title":4809,"path":4810,"stem":4811},"Професія розробника програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fsoftware-developer","19.ai-core\u002F01.ai-native-developer\u002F02.software-developer",{"title":4813,"path":4814,"stem":4815},"Професія AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer\u002F03.ai-native-developer",{"title":4817,"path":4818,"stem":4819},"Вплив AI на розробку програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fai-impact-on-development","19.ai-core\u002F01.ai-native-developer\u002F04.ai-impact-on-development",{"title":4821,"path":4822,"stem":4823},"Життєвий цикл цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fproduct-lifecycle","19.ai-core\u002F01.ai-native-developer\u002F05.product-lifecycle",{"title":4825,"path":4826,"stem":4827},"Застосування AI на етапах створення цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fai-in-product-creation","19.ai-core\u002F01.ai-native-developer\u002F06.ai-in-product-creation",{"title":4829,"path":4830,"stem":4831},"Розподіл завдань між людиною та AI","\u002Fai-core\u002Fai-native-developer\u002Fhuman-vs-ai-tasks","19.ai-core\u002F01.ai-native-developer\u002F07.human-vs-ai-tasks",{"title":4833,"path":4834,"stem":4835},"Компетенції AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcompetencies","19.ai-core\u002F01.ai-native-developer\u002F08.competencies",{"title":4837,"path":4838,"stem":4839},"Карта професійного розвитку AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcareer-roadmap","19.ai-core\u002F01.ai-native-developer\u002F09.career-roadmap",{"title":4841,"icon":255,"path":4842,"stem":4843,"children":4844,"page":59},"Штучний інтелект і машинне навчання","\u002Fai-core\u002Fai-and-machine-learning","19.ai-core\u002F02.ai-and-machine-learning",[4845,4849,4853,4857,4861,4865,4869,4873,4877,4881,4885],{"title":4846,"path":4847,"stem":4848},"Штучний інтелект","\u002Fai-core\u002Fai-and-machine-learning\u002Fwhat-is-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F01.what-is-ai",{"title":4850,"path":4851,"stem":4852},"Відмінність AI від інших програмних систем","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-vs-automation","19.ai-core\u002F02.ai-and-machine-learning\u002F02.ai-vs-automation",{"title":4854,"path":4855,"stem":4856},"Завдання штучного інтелекту","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-tasks","19.ai-core\u002F02.ai-and-machine-learning\u002F03.ai-tasks",{"title":4858,"path":4859,"stem":4860},"Machine Learning","\u002Fai-core\u002Fai-and-machine-learning\u002Fmachine-learning","19.ai-core\u002F02.ai-and-machine-learning\u002F04.machine-learning",{"title":4862,"path":4863,"stem":4864},"Machine Learning Workflow","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-workflow","19.ai-core\u002F02.ai-and-machine-learning\u002F05.ml-workflow",{"title":4866,"path":4867,"stem":4868},"Типи машинного навчання","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-types","19.ai-core\u002F02.ai-and-machine-learning\u002F06.ml-types",{"title":4870,"path":4871,"stem":4872},"Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fgenerative-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F07.generative-ai",{"title":4874,"path":4875,"stem":4876},"Типи контенту, створюваного AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-content-types","19.ai-core\u002F02.ai-and-machine-learning\u002F08.ai-content-types",{"title":4878,"path":4879,"stem":4880},"Великі мовні моделі","\u002Fai-core\u002Fai-and-machine-learning\u002Flarge-language-models","19.ai-core\u002F02.ai-and-machine-learning\u002F09.large-language-models",{"title":4882,"path":4883,"stem":4884},"Можливості та обмеження Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fcapabilities-and-limitations","19.ai-core\u002F02.ai-and-machine-learning\u002F10.capabilities-and-limitations",{"title":4886,"path":4887,"stem":4888},"Сучасні AI-асистенти","\u002Fai-core\u002Fai-and-machine-learning\u002Fmodern-ai-assistants","19.ai-core\u002F02.ai-and-machine-learning\u002F11.modern-ai-assistants",{"title":4890,"icon":4891,"path":4892,"stem":4893,"children":4894,"page":59},"Постановка завдань для AI: принципи створення промптів","i-lucide-message-square-text","\u002Fai-core\u002Fprompt-engineering","19.ai-core\u002F03.prompt-engineering",[4895,4899,4903,4907,4911,4915,4919,4923],{"title":4896,"path":4897,"stem":4898},"Промпт як інструмент","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-as-tool","19.ai-core\u002F03.prompt-engineering\u002F01.prompt-as-tool",{"title":4900,"path":4901,"stem":4902},"Принципи створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-principles","19.ai-core\u002F03.prompt-engineering\u002F02.prompt-principles",{"title":4904,"path":4905,"stem":4906},"Структура промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-structure","19.ai-core\u002F03.prompt-engineering\u002F03.prompt-structure",{"title":4908,"path":4909,"stem":4910},"Види промптів за типом задачі","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-types","19.ai-core\u002F03.prompt-engineering\u002F04.prompt-types",{"title":4912,"path":4913,"stem":4914},"Прийоми посилення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-enhancement","19.ai-core\u002F03.prompt-engineering\u002F05.prompt-enhancement",{"title":4916,"path":4917,"stem":4918},"Розбір і покращення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-analysis","19.ai-core\u002F03.prompt-engineering\u002F06.prompt-analysis",{"title":4920,"path":4921,"stem":4922},"Типові помилки під час створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fcommon-mistakes","19.ai-core\u002F03.prompt-engineering\u002F07.common-mistakes",{"title":4924,"path":4925,"stem":4926},"Практикум: особиста бібліотека промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-library","19.ai-core\u002F03.prompt-engineering\u002F08.prompt-library",{"title":4928,"icon":793,"path":4929,"stem":4930,"children":4931,"page":59},"Перевірка результатів, безпека та AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow","19.ai-core\u002F04.verification-security-workflow",[4932,4936,4940,4944,4948,4952,4956,4960,4964],{"title":4933,"path":4934,"stem":4935},"Межі можливостей AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-limitations","19.ai-core\u002F04.verification-security-workflow\u002F01.ai-limitations",{"title":4937,"path":4938,"stem":4939},"Галюцинації AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-hallucinations","19.ai-core\u002F04.verification-security-workflow\u002F02.ai-hallucinations",{"title":4941,"path":4942,"stem":4943},"Критичне мислення під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fcritical-thinking","19.ai-core\u002F04.verification-security-workflow\u002F03.critical-thinking",{"title":4945,"path":4946,"stem":4947},"Перевірка результатів роботи AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresult-verification","19.ai-core\u002F04.verification-security-workflow\u002F04.result-verification",{"title":4949,"path":4950,"stem":4951},"Захист даних під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fdata-protection","19.ai-core\u002F04.verification-security-workflow\u002F05.data-protection",{"title":4953,"path":4954,"stem":4955},"Авторське право та навчальна доброчесність","\u002Fai-core\u002Fverification-security-workflow\u002Fcopyright-integrity","19.ai-core\u002F04.verification-security-workflow\u002F06.copyright-integrity",{"title":4957,"path":4958,"stem":4959},"Відповідальне використання AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresponsible-use","19.ai-core\u002F04.verification-security-workflow\u002F07.responsible-use",{"title":4961,"path":4962,"stem":4963},"AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow\u002Fai-native-workflow","19.ai-core\u002F04.verification-security-workflow\u002F08.ai-native-workflow",{"title":4965,"path":4966,"stem":4967},"Застосування AI Native Workflow під час створення цифрового продукту","\u002Fai-core\u002Fverification-security-workflow\u002Fworkflow-in-practice","19.ai-core\u002F04.verification-security-workflow\u002F09.workflow-in-practice",{"title":4969,"icon":4970,"path":4971,"stem":4972,"children":4973,"page":59},"AI Developer: Vibe Coding Sprint","i-lucide-code-xml","\u002Fai-developer","20.ai-developer",[4974,5000,5022,5043],{"title":4975,"icon":4976,"path":4977,"stem":4978,"children":4979,"page":59},"Проєктування і чорнова версія","i-lucide-pencil-ruler","\u002Fai-developer\u002Fdraft-creation","20.ai-developer\u002F01.draft-creation",[4980,4984,4988,4992,4996],{"title":4981,"path":4982,"stem":4983},"Парадигма Vibe Coding Workflow","\u002Fai-developer\u002Fdraft-creation\u002Fvibe-coding-workflow","20.ai-developer\u002F01.draft-creation\u002F01.vibe-coding-workflow",{"title":4985,"path":4986,"stem":4987},"AI-середовище швидкої розробки","\u002Fai-developer\u002Fdraft-creation\u002Fai-ide-environment","20.ai-developer\u002F01.draft-creation\u002F02.ai-ide-environment",{"title":4989,"path":4990,"stem":4991},"Користувацьке завдання та межі першої версії","\u002Fai-developer\u002Fdraft-creation\u002Fproduct-scope-and-mvp","20.ai-developer\u002F01.draft-creation\u002F03.product-scope-and-mvp",{"title":4993,"path":4994,"stem":4995},"Архітектура інтерфейсу та стани застосунку","\u002Fai-developer\u002Fdraft-creation\u002Fapplication-architecture-and-states","20.ai-developer\u002F01.draft-creation\u002F04.application-architecture-and-states",{"title":4997,"path":4998,"stem":4999},"Генерація та фіксація чорнової версії","\u002Fai-developer\u002Fdraft-creation\u002Fgenerating-draft-version","20.ai-developer\u002F01.draft-creation\u002F05.generating-draft-version",{"title":5001,"icon":5002,"path":5003,"stem":5004,"children":5005,"page":59},"Перша робоча версія","i-lucide-play-circle","\u002Fai-developer\u002Ffirst-working-version","20.ai-developer\u002F02.first-working-version",[5006,5010,5014,5018],{"title":5007,"path":5008,"stem":5009},"Уточнення контексту проєкту для AI","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-project-context","20.ai-developer\u002F02.first-working-version\u002F01.refining-project-context",{"title":5011,"path":5012,"stem":5013},"Стратегія завдань для AI-розробки","\u002Fai-developer\u002Ffirst-working-version\u002Fai-prompting-strategy","20.ai-developer\u002F02.first-working-version\u002F02.ai-prompting-strategy",{"title":5015,"path":5016,"stem":5017},"Доопрацювання до першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-to-working-version","20.ai-developer\u002F02.first-working-version\u002F03.refining-to-working-version",{"title":5019,"path":5020,"stem":5021},"Перевірка першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Ftesting-first-working-version","20.ai-developer\u002F02.first-working-version\u002F04.testing-first-working-version",{"title":5023,"icon":3072,"path":5024,"stem":5025,"children":5026,"page":59},"Ітерації, дебагінг та відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery","20.ai-developer\u002F03.iteration-debugging-recovery",[5027,5031,5035,5039],{"title":5028,"path":5029,"stem":5030},"Управління точковими змінами продукту","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fchange-management","20.ai-developer\u002F03.iteration-debugging-recovery\u002F01.change-management",{"title":5032,"path":5033,"stem":5034},"Надійність інтерфейсу та обробка помилок","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fscenario-reliability-and-errors","20.ai-developer\u002F03.iteration-debugging-recovery\u002F02.scenario-reliability-and-errors",{"title":5036,"path":5037,"stem":5038},"Керування контекстом і збереження версій","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fproject-context-and-versions","20.ai-developer\u002F03.iteration-debugging-recovery\u002F03.project-context-and-versions",{"title":5040,"path":5041,"stem":5042},"Збої AI-розробки, ліміти та аварійне відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fai-breakdowns-and-recovery","20.ai-developer\u002F03.iteration-debugging-recovery\u002F04.ai-breakdowns-and-recovery",{"title":5044,"icon":5045,"path":5046,"stem":5047,"children":5048,"page":59},"Перевірка та завершення продукту","i-lucide-check-check","\u002Fai-developer\u002Fverification-and-completion","20.ai-developer\u002F04.verification-and-completion",[5049,5053,5057],{"title":5050,"path":5051,"stem":5052},"Комплексний аудит та підсумкове тестування","\u002Fai-developer\u002Fverification-and-completion\u002Ffinal-product-testing","20.ai-developer\u002F04.verification-and-completion\u002F01.final-product-testing",{"title":5054,"path":5055,"stem":5056},"Підготовка підсумкової версії коду","\u002Fai-developer\u002Fverification-and-completion\u002Fpreparing-release-version","20.ai-developer\u002F04.verification-and-completion\u002F02.preparing-release-version",{"title":5058,"path":5059,"stem":5060},"Демонстрація, публікація та критерії оцінювання","\u002Fai-developer\u002Fverification-and-completion\u002Fproduct-showcase-and-publishing","20.ai-developer\u002F04.verification-and-completion\u002F03.product-showcase-and-publishing",{"title":5062,"path":5063,"stem":5064,"children":5065,"page":59},"Tailwind","\u002Ftailwind","21.tailwind",[5066,5070,5074,5078,5082,5086,5090,5094,5098,5102,5106,5110],{"title":5067,"path":5068,"stem":5069},"Що таке Tailwind CSS і навіщо він потрібен","\u002Ftailwind\u002Ftailwind-intro-philosophy","21.tailwind\u002F01.tailwind-intro-philosophy",{"title":5071,"path":5072,"stem":5073},"Встановлення та налаштування Tailwind CSS v4","\u002Ftailwind\u002Ftailwind-installation-setup","21.tailwind\u002F02.tailwind-installation-setup",{"title":5075,"path":5076,"stem":5077},"Utility-класи: основи та система Tailwind","\u002Ftailwind\u002Ftailwind-utility-classes-core","21.tailwind\u002F03.tailwind-utility-classes-core",{"title":5079,"path":5080,"stem":5081},"Layout: Flexbox та Grid через Tailwind","\u002Ftailwind\u002Ftailwind-flexbox-grid","21.tailwind\u002F04.tailwind-flexbox-grid",{"title":5083,"path":5084,"stem":5085},"Кастомізація теми через @theme у Tailwind v4","\u002Ftailwind\u002Ftailwind-theme-customization","21.tailwind\u002F05.tailwind-theme-customization",{"title":5087,"path":5088,"stem":5089},"Варіанти: hover, focus, responsive, dark mode та нові v4","\u002Ftailwind\u002Ftailwind-variants-states","21.tailwind\u002F06.tailwind-variants-states",{"title":5091,"path":5092,"stem":5093},"Типографіка та система кольорів у Tailwind v4","\u002Ftailwind\u002Ftailwind-typography-colors","21.tailwind\u002F07.tailwind-typography-colors",{"title":5095,"path":5096,"stem":5097},"Компоненти та повторюваність: @apply, @utility та патерни","\u002Ftailwind\u002Ftailwind-components-patterns","21.tailwind\u002F08.tailwind-components-patterns",{"title":5099,"path":5100,"stem":5101},"Темна тема та система дизайн-токенів у Tailwind v4","\u002Ftailwind\u002Ftailwind-dark-mode-theming","21.tailwind\u002F09.tailwind-dark-mode-theming",{"title":5103,"path":5104,"stem":5105},"Довільні значення та контейнерні запити у Tailwind v4","\u002Ftailwind\u002Ftailwind-arbitrary-container-queries","21.tailwind\u002F10.tailwind-arbitrary-container-queries",{"title":5107,"path":5108,"stem":5109},"Анімації, трансформації та 3D у Tailwind v4","\u002Ftailwind\u002Ftailwind-animations-transforms","21.tailwind\u002F11.tailwind-animations-transforms",{"title":5111,"path":5112,"stem":5113},"Tailwind CLI, PostCSS та інтеграція з фреймворками","\u002Ftailwind\u002Ftailwind-cli-tooling","21.tailwind\u002F12.tailwind-cli-tooling",{"title":5115,"path":5116,"stem":5117,"children":5118,"page":59},"React Typescript","\u002Freact-typescript","22.react-typescript",[5119,5144,5148,5152,5156,5160,5164,5168,5172],{"title":5120,"path":5121,"stem":5122,"children":5123,"page":59},"From Html To Project","\u002Freact-typescript\u002Ffrom-html-to-project","22.react-typescript\u002F01.from-html-to-project",[5124,5128,5132,5136,5140],{"title":5125,"path":5126,"stem":5127},"Від одного HTML-файлу до повноцінного проєкту","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fevolution","22.react-typescript\u002F01.from-html-to-project\u002F01.evolution",{"title":5129,"path":5130,"stem":5131},"Що таке React","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fwhat-is-react","22.react-typescript\u002F01.from-html-to-project\u002F02.what-is-react",{"title":5133,"path":5134,"stem":5135},"JSX та TSX — синтаксичний цукор, а не магія","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-tsx-syntax","22.react-typescript\u002F01.from-html-to-project\u002F03.jsx-tsx-syntax",{"title":5137,"path":5138,"stem":5139},"Компоненти — будівельні блоки інтерфейсу","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fcomponents","22.react-typescript\u002F01.from-html-to-project\u002F04.components",{"title":5141,"path":5142,"stem":5143},"JSX — розмітка всередині TypeScript","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-expressions","22.react-typescript\u002F01.from-html-to-project\u002F05.jsx-expressions",{"title":5145,"path":5146,"stem":5147},"Хук useReducer: структуроване управління складним станом","\u002Freact-typescript\u002Fuse-reducer","22.react-typescript\u002F23.use-reducer",{"title":5149,"path":5150,"stem":5151},"Context API: передавання даних без «пропс-дрілінгу»","\u002Freact-typescript\u002Fcontext-api","22.react-typescript\u002F24.context-api",{"title":5153,"path":5154,"stem":5155},"Синхронізація з ефектами: хук useEffect та функції очищення","\u002Freact-typescript\u002Fuse-effect","22.react-typescript\u002F27.use-effect",{"title":5157,"path":5158,"stem":5159},"Можливо, вам не потрібен ефект: антипатерни та альтернативи","\u002Freact-typescript\u002Fyou-might-not-need-effect","22.react-typescript\u002F28.you-might-not-need-effect",{"title":5161,"path":5162,"stem":5163},"Життєвий цикл реактивних ефектів: мислення процесами синхронізації","\u002Freact-typescript\u002Flifecycle-of-reactive-effects","22.react-typescript\u002F29.lifecycle-of-reactive-effects",{"title":5165,"path":5166,"stem":5167},"Розділення подій та ефектів: реактивна проти нереактивної логіки","\u002Freact-typescript\u002Fseparating-events-from-effects","22.react-typescript\u002F30.separating-events-from-effects",{"title":5169,"path":5170,"stem":5171},"Видалення зайвих залежностей ефектів та оптимізація синхронізації","\u002Freact-typescript\u002Fremoving-effect-dependencies","22.react-typescript\u002F31.removing-effect-dependencies",{"title":5173,"path":5174,"stem":5175},"Кастомні хуки: повторне використання та композиція реактивної логіки","\u002Freact-typescript\u002Fcustom-hooks","22.react-typescript\u002F32.custom-hooks",{"title":5177,"path":5178,"stem":5179},"Тестування компонентів діаграм та пісочниць","\u002Ftest-components","98.test-components",{"id":5181,"title":3794,"body":5182,"description":8765,"extension":8766,"links":8767,"meta":8768,"navigation":6058,"path":3795,"seo":8769,"stem":3796,"__hash__":8770},"docs\u002F16.ai-python\u002F06.linear-regression\u002F04.multiple-regression.md",{"type":5183,"value":5184,"toc":8738},"minimark",[5185,5189,5249,5252,5257,5265,5269,5275,5461,5468,5475,5477,5481,5491,5496,5503,5506,5509,5529,5533,5536,5561,5564,5567,5674,5676,5680,5691,5695,5698,5729,5732,5735,5755,5778,5820,5824,5841,5844,5847,5850,5863,5865,5869,5890,6021,6027,6031,6046,6055,6080,6083,6132,6161,6163,6167,6174,6178,6191,6194,6203,6207,6221,6224,6231,6258,6260,6264,6267,7908,7910,7914,7921,8119,8143,8147,8163,8172,8175,8178,8181,8217,8232,8234,8238,8241,8509,8511,8515,8537,8560,8596,8600,8603,8610,8613,8665,8667,8671,8734],[5186,5187,3794],"h1",{"id":5188},"множинна-лінійна-регресія-модель-з-багатьма-ознаками",[5190,5191,5192,5213],"card-group",{},[5193,5194,5197],"card",{"icon":5195,"title":5196},"i-lucide-target","🎯 Мета підрозділу",[5198,5199,5200,5204,5207,5210],"ul",{},[5201,5202,5203],"li",{},"Узагальнити лінійну регресію на випадок багатьох ознак",[5201,5205,5206],{},"Опанувати векторну та матричну форму запису моделі",[5201,5208,5209],{},"Зрозуміти геометричну інтерпретацію (гіперплощина)",[5201,5211,5212],{},"Реалізувати модель з 4 ознаками для передбачення ціни квартири",[5193,5214,5216],{"icon":4618,"title":5215},"🔑 Ключові терміни",[5198,5217,5218,5225,5231,5237,5243],{},[5201,5219,5220,5224],{},[5221,5222,5223],"strong",{},"Multiple Linear Regression"," — множинна лінійна регресія",[5201,5226,5227,5230],{},[5221,5228,5229],{},"Feature vector"," (X) — вектор ознак",[5201,5232,5233,5236],{},[5221,5234,5235],{},"Weight vector"," (w) — вектор вагів",[5201,5238,5239,5242],{},[5221,5240,5241],{},"Hyperplane"," — гіперплощина у багатовимірному просторі",[5201,5244,5245,5248],{},[5221,5246,5247],{},"Dot product"," — скалярний добуток векторів",[5250,5251],"hr",{},[5253,5254,5256],"h2",{"id":5255},"обмеження-однієї-ознаки","Обмеження однієї ознаки",[5258,5259,5260,5261,5264],"p",{},"У попередніх підрозділах ми розглядали модель, де ціна квартири залежить ",[5221,5262,5263],{},"лише від площі",":",[5266,5267],"math-formula",{"tex":5268},"\\text{Ціна} = w \\cdot \\text{Площа} + b",[5258,5270,5271,5272,5264],{},"Але в реальності на ціну впливає ",[5221,5273,5274],{},"безліч факторів",[5190,5276,5277,5339,5408],{},[5193,5278,5281],{"icon":5279,"title":5280},"i-lucide-home","🏠 Нерухомість: Ціна житла",[5198,5282,5283,5294,5303,5312,5321,5330],{},[5201,5284,5285,5293],{},[5221,5286,5287,5288,5292],{},"Ціль (",[5266,5289],{"tex":5290,":inline":5291},"y","true","):"," Ринкова вартість ($)",[5201,5295,5296,5302],{},[5221,5297,5298,5299,5292],{},"Площа (",[5266,5300],{"tex":5301,":inline":5291},"x_1"," Загальний метраж (м²)",[5201,5304,5305,5311],{},[5221,5306,5307,5308,5292],{},"Кімнати (",[5266,5309],{"tex":5310,":inline":5291},"x_2"," Кількість кімнат",[5201,5313,5314,5320],{},[5221,5315,5316,5317,5292],{},"Поверх (",[5266,5318],{"tex":5319,":inline":5291},"x_3"," Поверх розташування",[5201,5322,5323,5329],{},[5221,5324,5325,5326,5292],{},"Логістика (",[5266,5327],{"tex":5328,":inline":5291},"x_4"," Відстань до метро (км)",[5201,5331,5332,5338],{},[5221,5333,5334,5335,5292],{},"Будинок (",[5266,5336],{"tex":5337,":inline":5291},"x_5"," Рік введення в експлуатацію",[5193,5340,5342],{"icon":221,"title":5341},"💻 IT: Затримка сервера",[5198,5343,5344,5356,5367,5378,5389,5400],{},[5201,5345,5346,5350,5351,5355],{},[5221,5347,5287,5348,5292],{},[5266,5349],{"tex":5290,":inline":5291}," Час відповіді API (",[5352,5353,5354],"em",{},"Latency, ms",")",[5201,5357,5358,5363,5364,5355],{},[5221,5359,5360,5361,5292],{},"Трафік (",[5266,5362],{"tex":5301,":inline":5291}," Запити на секунду (",[5352,5365,5366],{},"RPS",[5201,5368,5369,5374,5375,5355],{},[5221,5370,5371,5372,5292],{},"Пам'ять (",[5266,5373],{"tex":5310,":inline":5291}," Обсяг оперативної пам'яті (",[5352,5376,5377],{},"RAM, GB",[5201,5379,5380,5385,5386,5355],{},[5221,5381,5382,5383,5292],{},"Обчислення (",[5266,5384],{"tex":5319,":inline":5291}," Кількість ядер (",[5352,5387,5388],{},"vCPU",[5201,5390,5391,5396,5397,5355],{},[5221,5392,5393,5394,5292],{},"Мережа (",[5266,5395],{"tex":5328,":inline":5291}," Середній розмір запиту (",[5352,5398,5399],{},"KB",[5201,5401,5402,5407],{},[5221,5403,5404,5405,5292],{},"СУБД (",[5266,5406],{"tex":5337,":inline":5291}," Кількість активних з'єднань з БД",[5193,5409,5412],{"icon":5410,"title":5411},"i-lucide-shopping-cart","📈 E-commerce: Виручка магазину",[5198,5413,5414,5421,5429,5437,5445,5453],{},[5201,5415,5416,5420],{},[5221,5417,5287,5418,5292],{},[5266,5419],{"tex":5290,":inline":5291}," Денний дохід ($)",[5201,5422,5423,5428],{},[5221,5424,5425,5426,5292],{},"Пошук (",[5266,5427],{"tex":5301,":inline":5291}," Бюджет Google Ads ($)",[5201,5430,5431,5436],{},[5221,5432,5433,5434,5292],{},"Соцмережі (",[5266,5435],{"tex":5310,":inline":5291}," Бюджет Meta \u002F Instagram ($)",[5201,5438,5439,5444],{},[5221,5440,5441,5442,5292],{},"Email (",[5266,5443],{"tex":5319,":inline":5291}," Обсяг маркетингової розсилки",[5201,5446,5447,5452],{},[5221,5448,5449,5450,5292],{},"Знижки (",[5266,5451],{"tex":5328,":inline":5291}," Середній розмір промокоду (%)",[5201,5454,5455,5460],{},[5221,5456,5457,5458,5292],{},"Асортимент (",[5266,5459],{"tex":5337,":inline":5291}," Кількість активних позицій на складі",[5258,5462,5463,5464,5467],{},"Модель з однією ознакою ",[5221,5465,5466],{},"ігнорує"," цю інформацію. Навіть якщо у нас є дані про поверх і район, ми їх не використовуємо → втрачаємо точність.",[5469,5470,5471,5474],"note",{},[5221,5472,5473],{},"Інтуїція:"," дві квартири по 70 м² можуть коштувати по-різному: одна на 1 поверсі в спальному районі, інша на 10 поверсі в центрі. Однофакторна модель не розрізнить їх.",[5250,5476],{},[5253,5478,5480],{"id":5479},"узагальнення-на-випадок-n-ознак","Узагальнення на випадок n ознак",[5258,5482,5483,5486,5487,5490],{},[5221,5484,5485],{},"Множинна лінійна регресія (Multiple Linear Regression)"," — це розширення простої лінійної регресії на випадок ",[5221,5488,5489],{},"кількох вхідних змінних",".",[5492,5493,5495],"h3",{"id":5494},"формула-для-n-ознак","Формула для n ознак",[5258,5497,5498,5499,5502],{},"Якщо у нас є ",[5221,5500,5501],{},"n ознак"," x₁, x₂, ..., xₙ, модель має вигляд:",[5266,5504],{"tex":5505},"\\hat{y} = w_1 x_1 + w_2 x_2 + w_3 x_3 + \\ldots + w_n x_n + b",[5258,5507,5508],{},"де:",[5198,5510,5511,5517,5523],{},[5201,5512,5513,5516],{},[5221,5514,5515],{},"x₁, x₂, ..., xₙ"," — вхідні ознаки (features)",[5201,5518,5519,5522],{},[5221,5520,5521],{},"w₁, w₂, ..., wₙ"," — ваги (weights, coefficients) для кожної ознаки",[5201,5524,5525,5528],{},[5221,5526,5527],{},"b"," — вільний член (bias, intercept)",[5492,5530,5532],{"id":5531},"приклад-з-чотирма-ознаками","Приклад з чотирма ознаками",[5258,5534,5535],{},"Нехай у нас є 4 ознаки для квартири:",[5537,5538,5539,5545,5550,5555],"ol",{},[5201,5540,5541,5544],{},[5221,5542,5543],{},"Площа"," (м²)",[5201,5546,5547],{},[5221,5548,5549],{},"Кількість кімнат",[5201,5551,5552],{},[5221,5553,5554],{},"Поверх",[5201,5556,5557,5560],{},[5221,5558,5559],{},"Відстань до метро"," (км)",[5258,5562,5563],{},"Модель виглядатиме так:",[5266,5565,5566],{},"\\begin{align*}\n\\text{Ціна} = &\\ w_1 \\cdot \\text{Площа} \\\n&+ w_2 \\cdot \\text{Кімнати} \\\n&+ w_3 \\cdot \\text{Поверх} \\\n&+ w_4 \\cdot \\text{Відстань до метро} \\\n&+ b\n\\end{align*}",[5568,5569,5570],"accordion",{},[5571,5572,5575,5578,5610,5613,5627,5632,5635,5640],"accordion-item",{"icon":5573,"label":5574},"i-lucide-help-circle","📊 Приклад конкретної моделі",[5258,5576,5577],{},"Припустимо, після навчання ми отримали такі параметри:",[5198,5579,5580,5586,5592,5598,5604],{},[5201,5581,5582,5585],{},[5266,5583],{"tex":5584,":inline":5291},"w_1 = 500"," $\u002Fм²",[5201,5587,5588,5591],{},[5266,5589],{"tex":5590,":inline":5291},"w_2 = 3000"," $ (за кожну кімнату)",[5201,5593,5594,5597],{},[5266,5595],{"tex":5596,":inline":5291},"w_3 = 200"," $ (за кожен поверх)",[5201,5599,5600,5603],{},[5266,5601],{"tex":5602,":inline":5291},"w_4 = -5000"," $ (штраф за кожен км до метро)",[5201,5605,5606,5609],{},[5266,5607],{"tex":5608,":inline":5291},"b = 10000"," $ (базова вартість)",[5258,5611,5612],{},"Тоді для квартири:",[5198,5614,5615,5618,5621,5624],{},[5201,5616,5617],{},"Площа = 70 м²",[5201,5619,5620],{},"Кімнати = 2",[5201,5622,5623],{},"Поверх = 5",[5201,5625,5626],{},"Відстань = 1.5 км",[5258,5628,5629],{},[5221,5630,5631],{},"Передбачена ціна:",[5266,5633,5634],{},"\\begin{align*}\n\\text{Ціна} &= 500 \\times 70 + 3000 \\times 2 + 200 \\times 5 - 5000 \\times 1.5 + 10000 \\\n&= 35000 + 6000 + 1000 - 7500 + 10000 \\\n&= 44500 \\text{ USD}\n\\end{align*}",[5258,5636,5637],{},[5221,5638,5639],{},"Інтерпретація вагів:",[5198,5641,5642,5649,5656,5663],{},[5201,5643,5644,5648],{},[5221,5645,5646,5264],{},[5266,5647],{"tex":5584,":inline":5291}," кожен додатковий м² додає 500 $",[5201,5650,5651,5655],{},[5221,5652,5653,5264],{},[5266,5654],{"tex":5590,":inline":5291}," кожна додаткова кімната додає 3 000 $",[5201,5657,5658,5662],{},[5221,5659,5660,5264],{},[5266,5661],{"tex":5596,":inline":5291}," кожен вищий поверх додає 200 $ (люди цінують висоту)",[5201,5664,5665,5669,5670,5673],{},[5221,5666,5667,5264],{},[5266,5668],{"tex":5602,":inline":5291}," кожен км від метро ",[5221,5671,5672],{},"віднімає"," 5 000 $ (віддаленість від транспорту знижує ціну)",[5250,5675],{},[5253,5677,5679],{"id":5678},"векторна-форма-запису","Векторна форма запису",[5258,5681,5682,5683,5686,5687,5690],{},"Для зручності запис з ",[5266,5684],{"tex":5685,":inline":5291},"n"," доданками можна ",[5221,5688,5689],{},"скоротити"," за допомогою векторів та скалярного добутку.",[5492,5692,5694],{"id":5693},"позначення","Позначення",[5258,5696,5697],{},"Введемо:",[5198,5699,5700,5711,5722],{},[5201,5701,5702,5707,5708],{},[5221,5703,5704],{},[5266,5705],{"tex":5706,":inline":5291},"\\mathbf{x}"," — вектор ознак одного спостереження (feature vector): ",[5266,5709],{"tex":5710,":inline":5291},"\\mathbf{x} = \\begin{bmatrix} x_1 & x_2 & \\dots & x_n \\end{bmatrix}^T",[5201,5712,5713,5718,5719],{},[5221,5714,5715],{},[5266,5716],{"tex":5717,":inline":5291},"\\mathbf{w}"," — вектор вагів моделі (weight vector): ",[5266,5720],{"tex":5721,":inline":5291},"\\mathbf{w} = \\begin{bmatrix} w_1 & w_2 & \\dots & w_n \\end{bmatrix}^T",[5201,5723,5724,5728],{},[5221,5725,5726],{},[5266,5727],{"tex":5527,":inline":5291}," — скаляр зсуву (bias)",[5258,5730,5731],{},"Тоді модель записується компактно:",[5266,5733],{"tex":5734},"\\hat{y} = \\mathbf{w}^T \\mathbf{x} + b = \\sum_{i=1}^{n} w_i x_i + b",[5258,5736,5737,5738,5741,5742,5745,5746,5749,5750,5752,5753,5490],{},"де ",[5266,5739],{"tex":5740,":inline":5291},"\\mathbf{w}^T \\mathbf{x}"," — це ",[5221,5743,5744],{},"скалярний добуток"," (",[5352,5747,5748],{},"dot product",") векторів ",[5266,5751],{"tex":5717,":inline":5291}," та ",[5266,5754],{"tex":5706,":inline":5291},[5756,5757,5758,5764,5767],"tip",{},[5258,5759,5760,5763],{},[5221,5761,5762],{},"Скалярний добуток"," двох векторів:",[5266,5765],{"tex":5766},"\\mathbf{w}^T \\mathbf{x} = w_1 x_1 + w_2 x_2 + \\ldots + w_n x_n",[5258,5768,5769,5770,5774,5775,5490],{},"У NumPy це реалізовано як ",[5771,5772,5773],"code",{},"np.dot(w, x)"," або лаконічним оператором ",[5771,5776,5777],{},"w @ x",[5469,5779,5780,5789,5814],{},[5258,5781,5782,5785,5788],{},[5221,5783,5784],{},"Аналогія (Підсумковий чек у супермаркеті або кошторис):",[5786,5787],"br",{},"\nВекторне рівняння множинної регресії працює як касовий апарат:",[5198,5790,5791,5796,5811],{},[5201,5792,5793,5795],{},[5266,5794],{"tex":5527,":inline":5291}," — фіксована вартість паперового пакета або мінімальний тариф за виклик кур'єра.",[5201,5797,5798,5799,5802,5803,5806,5807,5810],{},"Кожна пара ",[5266,5800],{"tex":5801,":inline":5291},"w_i \\cdot x_i"," — це вартість окремої товарної позиції: ціна за одиницю товару (",[5266,5804],{"tex":5805,":inline":5291},"w_i","), помножена на придбану кількість (",[5266,5808],{"tex":5809,":inline":5291},"x_i",").",[5201,5812,5813],{},"Ознака з від'ємною вагою (як-от кілометри від станції метро чи промокод на знижку) пропорційно зменшує підсумкову суму.",[5258,5815,5816,5817,5819],{},"Скалярний добуток ",[5266,5818],{"tex":5740,":inline":5291}," миттєво підсумовує всі ці позиції за одну операцію.",[5492,5821,5823],{"id":5822},"ще-компактніша-форма-з-розширеним-вектором","Ще компактніша форма (з розширеним вектором)",[5258,5825,5826,5827,5830,5831,5834,5835,5264],{},"Щоб уникнути окремого запису ",[5266,5828],{"tex":5829,":inline":5291},"+ b",", можна ввести ",[5221,5832,5833],{},"розширений вектор ознак",", додавши ",[5221,5836,5837,5838],{},"фіктивну ознаку ",[5266,5839],{"tex":5840,":inline":5291},"x_0 = 1",[5266,5842],{"tex":5843},"\\mathbf{x} = \\begin{bmatrix} 1 \\\\ x_1 \\\\ x_2 \\\\ \\vdots \\\\ x_n \\end{bmatrix}, \\quad \\mathbf{w} = \\begin{bmatrix} b \\\\ w_1 \\\\ w_2 \\\\ \\vdots \\\\ w_n \\end{bmatrix}",[5258,5845,5846],{},"Тоді:",[5266,5848],{"tex":5849},"\\hat{y} = \\mathbf{w}^T \\mathbf{x} = b \\cdot 1 + w_1 x_1 + w_2 x_2 + \\ldots + w_n x_n",[5258,5851,5852,5853,5855,5856,5859,5860,5490],{},"Тепер зсув ",[5266,5854],{"tex":5527,":inline":5291}," — це просто нульова компонента вектора вагів (",[5266,5857],{"tex":5858,":inline":5291},"w_0 = b","), і формула стає максимально єдиною: ",[5266,5861],{"tex":5862,":inline":5291},"\\hat{y} = \\mathbf{w}^T \\mathbf{x}",[5250,5864],{},[5253,5866,5868],{"id":5867},"геометрична-інтерпретація","Геометрична інтерпретація",[5258,5870,5871,5872,5875,5876,5878,5879,5882,5883,5885,5886,5889],{},"Для однієї ознаки модель була ",[5221,5873,5874],{},"прямою лінією"," на площині (2D).",[5786,5877],{},"\nДля двох ознак модель — це ",[5221,5880,5881],{},"площина"," у тривимірному просторі (3D).",[5786,5884],{},"\nДля n ознак модель — це ",[5221,5887,5888],{},"гіперплощина"," у (n+1)-вимірному просторі.",[5891,5892,5893],"mermaid",{},[5894,5895,5899],"pre",{"className":5896,"code":5897,"language":5891,"meta":5898,"style":5898},"language-mermaid shiki shiki-themes light-plus dark-plus dark-plus","graph TD\n    A[\"Кількість ознак\"] --> B[\"1 ознака\"]\n    A --> C[\"2 ознаки\"]\n    A --> D[\"n ознак\"]\n    \n    B --> E[\"Пряма лінія\u003Cbr\u002F>у 2D просторі\"]\n    C --> F[\"Площина\u003Cbr\u002F>у 3D просторі\"]\n    D --> G[\"Гіперплощина\u003Cbr\u002F>у (n+1)D просторі\"]\n    \n    E --> H[\"y = wx + b\"]\n    F --> I[\"y = w₁x₁ + w₂x₂ + b\"]\n    G --> J[\"y = w₁x₁ + ... + wₙxₙ + b\"]\n    \n    style A fill:#fef3c7,stroke:#b45309,color:#1e293b\n    style B fill:#dbeafe,stroke:#1e40af,color:#1e293b\n    style C fill:#dbeafe,stroke:#1e40af,color:#1e293b\n    style D fill:#dbeafe,stroke:#1e40af,color:#1e293b\n    style E fill:#dcfce7,stroke:#15803d,color:#1e293b\n    style F fill:#dcfce7,stroke:#15803d,color:#1e293b\n    style G fill:#dcfce7,stroke:#15803d,color:#1e293b\n","",[5771,5900,5901,5909,5915,5921,5927,5933,5939,5945,5951,5956,5962,5968,5974,5979,5985,5991,5997,6003,6009,6015],{"__ignoreMap":5898},[5902,5903,5906],"span",{"class":5904,"line":5905},"line",1,[5902,5907,5908],{},"graph TD\n",[5902,5910,5912],{"class":5904,"line":5911},2,[5902,5913,5914],{},"    A[\"Кількість ознак\"] --> B[\"1 ознака\"]\n",[5902,5916,5918],{"class":5904,"line":5917},3,[5902,5919,5920],{},"    A --> C[\"2 ознаки\"]\n",[5902,5922,5924],{"class":5904,"line":5923},4,[5902,5925,5926],{},"    A --> D[\"n ознак\"]\n",[5902,5928,5930],{"class":5904,"line":5929},5,[5902,5931,5932],{},"    \n",[5902,5934,5936],{"class":5904,"line":5935},6,[5902,5937,5938],{},"    B --> E[\"Пряма лінія\u003Cbr\u002F>у 2D просторі\"]\n",[5902,5940,5942],{"class":5904,"line":5941},7,[5902,5943,5944],{},"    C --> F[\"Площина\u003Cbr\u002F>у 3D просторі\"]\n",[5902,5946,5948],{"class":5904,"line":5947},8,[5902,5949,5950],{},"    D --> G[\"Гіперплощина\u003Cbr\u002F>у (n+1)D просторі\"]\n",[5902,5952,5954],{"class":5904,"line":5953},9,[5902,5955,5932],{},[5902,5957,5959],{"class":5904,"line":5958},10,[5902,5960,5961],{},"    E --> H[\"y = wx + b\"]\n",[5902,5963,5965],{"class":5904,"line":5964},11,[5902,5966,5967],{},"    F --> I[\"y = w₁x₁ + w₂x₂ + b\"]\n",[5902,5969,5971],{"class":5904,"line":5970},12,[5902,5972,5973],{},"    G --> J[\"y = w₁x₁ + ... + wₙxₙ + b\"]\n",[5902,5975,5977],{"class":5904,"line":5976},13,[5902,5978,5932],{},[5902,5980,5982],{"class":5904,"line":5981},14,[5902,5983,5984],{},"    style A fill:#fef3c7,stroke:#b45309,color:#1e293b\n",[5902,5986,5988],{"class":5904,"line":5987},15,[5902,5989,5990],{},"    style B fill:#dbeafe,stroke:#1e40af,color:#1e293b\n",[5902,5992,5994],{"class":5904,"line":5993},16,[5902,5995,5996],{},"    style C fill:#dbeafe,stroke:#1e40af,color:#1e293b\n",[5902,5998,6000],{"class":5904,"line":5999},17,[5902,6001,6002],{},"    style D fill:#dbeafe,stroke:#1e40af,color:#1e293b\n",[5902,6004,6006],{"class":5904,"line":6005},18,[5902,6007,6008],{},"    style E fill:#dcfce7,stroke:#15803d,color:#1e293b\n",[5902,6010,6012],{"class":5904,"line":6011},19,[5902,6013,6014],{},"    style F fill:#dcfce7,stroke:#15803d,color:#1e293b\n",[5902,6016,6018],{"class":5904,"line":6017},20,[5902,6019,6020],{},"    style G fill:#dcfce7,stroke:#15803d,color:#1e293b\n",[5469,6022,6023,6026],{},[5221,6024,6025],{},"Візуалізація обмежена 3D:"," людський мозок не може уявити 4D, 5D чи вищі вимірності. Але математика працює однаково для будь-якої кількості ознак. Це краса лінійної алгебри — одна формула для всіх розмірностей.",[5492,6028,6030],{"id":6029},"візуалізація-регресійної-площини-у-3d","Візуалізація регресійної площини у 3D",[5258,6032,6033,6034,6036,6037,6039,6040,6042,6043,5264],{},"Коли модель використовує дві незалежні змінні (наприклад, ",[5266,6035],{"tex":5301,":inline":5291}," — площа квартири, ",[5266,6038],{"tex":5310,":inline":5291}," — кількість кімнат), цільова змінна ",[5266,6041],{"tex":5290,":inline":5291}," (ціна) утворює третій вимір. Замість лінії найкращого наближення алгоритм шукає ",[5221,6044,6045],{},"оптимальну регресійну площину",[5258,6047,6048],{},[6049,6050],"img",{"alt":6051,"className":6052,"src":6054},"Геометрична інтерпретація множинної лінійної регресії у тривимірному просторі: регресійна площина та точки спостережень",[6053],"diagram-img","\u002Fimages\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F02-3d-plane.png",[6056,6057,6065,6066,6065,6071,6065,6075],"video",{"controls":6058,"autoPlay":6058,"loop":6058,"muted":6058,"playsInline":6058,"poster":6059,"className":6060},true,"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F3d_plane_poster.png",[6053,6061,6062,6063,6064],"rounded-xl","shadow-lg","w-full","my-6","\n  ",[6067,6068],"source",{"src":6069,"type":6070},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F3d_plane_fitting.mp4","video\u002Fmp4",[6067,6072],{"src":6073,"type":6074},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F3d_plane_fitting.webm","video\u002Fwebm",[6049,6076],{"src":6077,"alt":6078,"className":6079},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F3d_plane_fitting.gif","Підгонка регресійної площини у тривимірному просторі",[6053],[5258,6081,6082],{},"Анатомія 3D-моделі регресії:",[5198,6084,6085,6095,6116],{},[5201,6086,6087,6090,6091,6094],{},[5221,6088,6089],{},"Хмара точок спостережень:"," Кожен реальний об'єкт позначається точкою з координатами ",[5266,6092],{"tex":6093,":inline":5291},"(x_{i1}, x_{i2}, y_i)"," у тривимірному просторі ознак та цілі.",[5201,6096,6097,6100,6101,6104,6105,6108,6109,6112,6113,6115],{},[5221,6098,6099],{},"Регресійна площина:"," Описується рівнянням ",[5266,6102],{"tex":6103,":inline":5291},"\\hat{y} = w_1 x_1 + w_2 x_2 + b",". Її нахил вздовж першої осі визначається коефіцієнтом ",[5266,6106],{"tex":6107,":inline":5291},"w_1",", а нахил вздовж другої осі — ",[5266,6110],{"tex":6111,":inline":5291},"w_2",". Вільний член ",[5266,6114],{"tex":5527,":inline":5291}," визначає точку перетину площини з вертикальною віссю цін при нульових значеннях ознак.",[5201,6117,6118,6121,6122,6125,6126,6128,6129],{},[5221,6119,6120],{},"Вертикальні відхилення (залишки):"," Як і в 2D випадку, метод найменших квадратів мінімізує суму квадратів саме ",[5221,6123,6124],{},"вертикальних відстаней"," (паралельних осі ціни ",[5266,6127],{"tex":5290,":inline":5291},") від фактичних точок даних до площини:",[5266,6130],{"tex":6131},"e_i = y_i - \\hat{y}_i = y_i - (w_1 x_{i1} + w_2 x_{i2} + b)",[5258,6133,6134,6135,6138,6139,5745,6142,6145,6146,6148,6149,6152,6153,6156,6157,6160],{},"Коли кількість ознак ",[5266,6136],{"tex":6137,":inline":5291},"n \\ge 3",", модель утворює багатовимірну ",[5221,6140,6141],{},"гіперплощину",[5352,6143,6144],{},"hyperplane",") розмірності ",[5266,6147],{"tex":5685,":inline":5291}," у ",[5266,6150],{"tex":6151,":inline":5291},"(n+1)","-вимірному просторі. Хоча візуалізувати гіперплощину для ",[5266,6154],{"tex":6155,":inline":5291},"n > 2"," людський зір не дозволяє, алгебраїчний апарат скалярного добутку векторів ",[5266,6158],{"tex":6159,":inline":5291},"\\mathbf{w}^T \\mathbf{x} + b"," та мінімізації похибки працює абсолютно ідентично.",[5250,6162],{},[5253,6164,6166],{"id":6165},"матрична-форма-для-батчу-спостережень","Матрична форма для батчу спостережень",[5258,6168,6169,6170,6173],{},"У реальних задачах ми обробляємо не одне спостереження, а ",[5221,6171,6172],{},"багато одночасно"," (batch). Тут допомагає матричний запис.",[5492,6175,6177],{"id":6176},"дані-у-вигляді-матриці","Дані у вигляді матриці",[5258,6179,6180,6181,6184,6185,6187,6188,5264],{},"Нехай у нас є ",[5221,6182,6183],{},"m спостережень"," і ",[5221,6186,5501],{},". Організуємо дані у матрицю «об'єкти-ознаки» ",[5266,6189],{"tex":6190,":inline":5291},"\\mathbf{X} \\in \\mathbb{R}^{m \\times n}",[5266,6192],{"tex":6193},"\\mathbf{X} = \\begin{bmatrix} x_1^{(1)} & x_2^{(1)} & \\cdots & x_n^{(1)} \\\\ x_1^{(2)} & x_2^{(2)} & \\cdots & x_n^{(2)} \\\\ \\vdots & \\vdots & \\ddots & \\vdots \\\\ x_1^{(m)} & x_2^{(m)} & \\cdots & x_n^{(m)} \\end{bmatrix}",[5258,6195,5737,6196,5741,6199,6202],{},[5266,6197],{"tex":6198,":inline":5291},"\\mathbf{x}^{(i)}",[5266,6200],{"tex":6201,":inline":5291},"i","-те спостереження (рядок таблиці).",[5492,6204,6206],{"id":6205},"векторизоване-передбачення","Векторизоване передбачення",[5258,6208,6209,6210,6212,6213,6216,6217,6220],{},"Якщо ",[5266,6211],{"tex":5717,":inline":5291}," — вектор-стовпець вагів розміром ",[5266,6214],{"tex":6215,":inline":5291},"n \\times 1",", то передбачення для ",[5221,6218,6219],{},"всіх m спостережень"," обчислюється одночасно:",[5266,6222],{"tex":6223},"\\hat{\\mathbf{y}} = \\mathbf{X} \\mathbf{w} + b",[5258,6225,6226,6227,6230],{},"Результат ",[5221,6228,6229],{},"ŷ"," — вектор розміром m × 1 (передбачення для кожного спостереження).",[5756,6232,6233,6238],{},[5258,6234,6235],{},[5221,6236,6237],{},"Переваги векторизації:",[5198,6239,6240,6246,6252],{},[5201,6241,6242,6245],{},[5221,6243,6244],{},"Швидкість:"," NumPy\u002Fpandas використовують оптимізовані C\u002FFortran бібліотеки",[5201,6247,6248,6251],{},[5221,6249,6250],{},"Читабельність:"," одна операція замість циклу",[5201,6253,6254,6257],{},[5221,6255,6256],{},"Масштабованість:"," працює однаково для 10 і для 10 млн рядків",[5250,6259],{},[5253,6261,6263],{"id":6262},"практичний-приклад-передбачення-ціни-квартири-з-4-ознаками","Практичний приклад: передбачення ціни квартири з 4 ознаками",[5258,6265,6266],{},"Реалізуємо повний цикл: дані → навчання → передбачення.",[6268,6269,6272,6280,6690,6696,6952,7107,7113,7657,7684,7690,7902],"jupyter-notebook",{"kernel":6270,"title":6271},"Python 3.11 (ipykernel)","multiple_regression.ipynb",[6273,6274,6276],"jupyter-cell",{"type":6275},"markdown",[5492,6277,6279],{"id":6278},"генерація-синтетичних-даних","Генерація синтетичних даних",[6273,6281,6284,6681],{"execution-count":6282,"execution-time":6283},"1","0.12s",[5894,6285,6289],{"className":6286,"code":6287,"language":6288,"meta":5898,"style":5898},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import numpy as np\nimport pandas as pd\n\nrng = np.random.default_rng(seed=42)\n\n# Генеруємо 100 квартир\nn_samples = 100\n\n# Ознаки\narea = rng.integers(40, 150, n_samples)           # Площа (40-150 м²)\nrooms = rng.integers(1, 5, n_samples)             # Кімнати (1-4)\nfloor = rng.integers(1, 15, n_samples)            # Поверх (1-14)\nmetro_dist = rng.uniform(0.2, 5.0, n_samples)    # Відстань до метро (0.2-5 км)\n\n# Справжня залежність (з шумом)\ntrue_w1, true_w2, true_w3, true_w4, true_b = 500, 3000, 200, -5000, 10000\nprice = (true_w1 * area + \n         true_w2 * rooms + \n         true_w3 * floor + \n         true_w4 * metro_dist + \n         true_b + \n         rng.normal(0, 5000, n_samples))  # шум ±5000$\n\n# Створюємо DataFrame\ndf = pd.DataFrame({\n    'area': area,\n    'rooms': rooms,\n    'floor': floor,\n    'metro_dist': metro_dist,\n    'price': price\n})\n\nprint(\"Перші 5 рядків датасету:\")\nprint(df.head())\nprint(f\"\\nРозмір: {df.shape[0]} квартир, {df.shape[1]-1} ознак + 1 ціль\")\n","python",[5771,6290,6291,6307,6319,6324,6343,6347,6353,6361,6365,6370,6390,6408,6426,6445,6449,6454,6483,6488,6493,6498,6503,6509,6528,6533,6539,6545,6555,6564,6573,6582,6591,6597,6602,6617,6625],{"__ignoreMap":5898},[5902,6292,6293,6297,6301,6304],{"class":5904,"line":5905},[5902,6294,6296],{"class":6295},"s8xlr","import",[5902,6298,6300],{"class":6299},"sHH4Y"," numpy ",[5902,6302,6303],{"class":6295},"as",[5902,6305,6306],{"class":6299}," np\n",[5902,6308,6309,6311,6314,6316],{"class":5904,"line":5911},[5902,6310,6296],{"class":6295},[5902,6312,6313],{"class":6299}," pandas ",[5902,6315,6303],{"class":6295},[5902,6317,6318],{"class":6299}," pd\n",[5902,6320,6321],{"class":5904,"line":5917},[5902,6322,6323],{"emptyLinePlaceholder":6058},"\n",[5902,6325,6326,6329,6333,6336,6340],{"class":5904,"line":5923},[5902,6327,6328],{"class":6299},"rng = np.random.default_rng(",[5902,6330,6332],{"class":6331},"siwwj","seed",[5902,6334,6335],{"class":6299},"=",[5902,6337,6339],{"class":6338},"sJj4R","42",[5902,6341,6342],{"class":6299},")\n",[5902,6344,6345],{"class":5904,"line":5929},[5902,6346,6323],{"emptyLinePlaceholder":6058},[5902,6348,6349],{"class":5904,"line":5935},[5902,6350,6352],{"class":6351},"spJ8K","# Генеруємо 100 квартир\n",[5902,6354,6355,6358],{"class":5904,"line":5941},[5902,6356,6357],{"class":6299},"n_samples = ",[5902,6359,6360],{"class":6338},"100\n",[5902,6362,6363],{"class":5904,"line":5947},[5902,6364,6323],{"emptyLinePlaceholder":6058},[5902,6366,6367],{"class":5904,"line":5953},[5902,6368,6369],{"class":6351},"# Ознаки\n",[5902,6371,6372,6375,6378,6381,6384,6387],{"class":5904,"line":5958},[5902,6373,6374],{"class":6299},"area = rng.integers(",[5902,6376,6377],{"class":6338},"40",[5902,6379,6380],{"class":6299},", ",[5902,6382,6383],{"class":6338},"150",[5902,6385,6386],{"class":6299},", n_samples)           ",[5902,6388,6389],{"class":6351},"# Площа (40-150 м²)\n",[5902,6391,6392,6395,6397,6399,6402,6405],{"class":5904,"line":5964},[5902,6393,6394],{"class":6299},"rooms = rng.integers(",[5902,6396,6282],{"class":6338},[5902,6398,6380],{"class":6299},[5902,6400,6401],{"class":6338},"5",[5902,6403,6404],{"class":6299},", n_samples)             ",[5902,6406,6407],{"class":6351},"# Кімнати (1-4)\n",[5902,6409,6410,6413,6415,6417,6420,6423],{"class":5904,"line":5970},[5902,6411,6412],{"class":6299},"floor = rng.integers(",[5902,6414,6282],{"class":6338},[5902,6416,6380],{"class":6299},[5902,6418,6419],{"class":6338},"15",[5902,6421,6422],{"class":6299},", n_samples)            ",[5902,6424,6425],{"class":6351},"# Поверх (1-14)\n",[5902,6427,6428,6431,6434,6436,6439,6442],{"class":5904,"line":5976},[5902,6429,6430],{"class":6299},"metro_dist = rng.uniform(",[5902,6432,6433],{"class":6338},"0.2",[5902,6435,6380],{"class":6299},[5902,6437,6438],{"class":6338},"5.0",[5902,6440,6441],{"class":6299},", n_samples)    ",[5902,6443,6444],{"class":6351},"# Відстань до метро (0.2-5 км)\n",[5902,6446,6447],{"class":5904,"line":5981},[5902,6448,6323],{"emptyLinePlaceholder":6058},[5902,6450,6451],{"class":5904,"line":5987},[5902,6452,6453],{"class":6351},"# Справжня залежність (з шумом)\n",[5902,6455,6456,6459,6462,6464,6467,6469,6472,6475,6478,6480],{"class":5904,"line":5993},[5902,6457,6458],{"class":6299},"true_w1, true_w2, true_w3, true_w4, true_b = ",[5902,6460,6461],{"class":6338},"500",[5902,6463,6380],{"class":6299},[5902,6465,6466],{"class":6338},"3000",[5902,6468,6380],{"class":6299},[5902,6470,6471],{"class":6338},"200",[5902,6473,6474],{"class":6299},", -",[5902,6476,6477],{"class":6338},"5000",[5902,6479,6380],{"class":6299},[5902,6481,6482],{"class":6338},"10000\n",[5902,6484,6485],{"class":5904,"line":5999},[5902,6486,6487],{"class":6299},"price = (true_w1 * area + \n",[5902,6489,6490],{"class":5904,"line":6005},[5902,6491,6492],{"class":6299},"         true_w2 * rooms + \n",[5902,6494,6495],{"class":5904,"line":6011},[5902,6496,6497],{"class":6299},"         true_w3 * floor + \n",[5902,6499,6500],{"class":5904,"line":6017},[5902,6501,6502],{"class":6299},"         true_w4 * metro_dist + \n",[5902,6504,6506],{"class":5904,"line":6505},21,[5902,6507,6508],{"class":6299},"         true_b + \n",[5902,6510,6512,6515,6518,6520,6522,6525],{"class":5904,"line":6511},22,[5902,6513,6514],{"class":6299},"         rng.normal(",[5902,6516,6517],{"class":6338},"0",[5902,6519,6380],{"class":6299},[5902,6521,6477],{"class":6338},[5902,6523,6524],{"class":6299},", n_samples))  ",[5902,6526,6527],{"class":6351},"# шум ±5000$\n",[5902,6529,6531],{"class":5904,"line":6530},23,[5902,6532,6323],{"emptyLinePlaceholder":6058},[5902,6534,6536],{"class":5904,"line":6535},24,[5902,6537,6538],{"class":6351},"# Створюємо DataFrame\n",[5902,6540,6542],{"class":5904,"line":6541},25,[5902,6543,6544],{"class":6299},"df = pd.DataFrame({\n",[5902,6546,6548,6552],{"class":5904,"line":6547},26,[5902,6549,6551],{"class":6550},"sbdoH","    'area'",[5902,6553,6554],{"class":6299},": area,\n",[5902,6556,6558,6561],{"class":5904,"line":6557},27,[5902,6559,6560],{"class":6550},"    'rooms'",[5902,6562,6563],{"class":6299},": rooms,\n",[5902,6565,6567,6570],{"class":5904,"line":6566},28,[5902,6568,6569],{"class":6550},"    'floor'",[5902,6571,6572],{"class":6299},": floor,\n",[5902,6574,6576,6579],{"class":5904,"line":6575},29,[5902,6577,6578],{"class":6550},"    'metro_dist'",[5902,6580,6581],{"class":6299},": metro_dist,\n",[5902,6583,6585,6588],{"class":5904,"line":6584},30,[5902,6586,6587],{"class":6550},"    'price'",[5902,6589,6590],{"class":6299},": price\n",[5902,6592,6594],{"class":5904,"line":6593},31,[5902,6595,6596],{"class":6299},"})\n",[5902,6598,6600],{"class":5904,"line":6599},32,[5902,6601,6323],{"emptyLinePlaceholder":6058},[5902,6603,6605,6609,6612,6615],{"class":5904,"line":6604},33,[5902,6606,6608],{"class":6607},"s8Opu","print",[5902,6610,6611],{"class":6299},"(",[5902,6613,6614],{"class":6550},"\"Перші 5 рядків датасету:\"",[5902,6616,6342],{"class":6299},[5902,6618,6620,6622],{"class":5904,"line":6619},34,[5902,6621,6608],{"class":6607},[5902,6623,6624],{"class":6299},"(df.head())\n",[5902,6626,6628,6630,6632,6636,6639,6643,6646,6649,6652,6654,6657,6660,6663,6665,6667,6669,6672,6674,6676,6679],{"class":5904,"line":6627},35,[5902,6629,6608],{"class":6607},[5902,6631,6611],{"class":6299},[5902,6633,6635],{"class":6634},"su1O8","f",[5902,6637,6638],{"class":6550},"\"",[5902,6640,6642],{"class":6641},"sjcCO","\\n",[5902,6644,6645],{"class":6550},"Розмір: ",[5902,6647,6648],{"class":6634},"{",[5902,6650,6651],{"class":6299},"df.shape[",[5902,6653,6517],{"class":6338},[5902,6655,6656],{"class":6299},"]",[5902,6658,6659],{"class":6634},"}",[5902,6661,6662],{"class":6550}," квартир, ",[5902,6664,6648],{"class":6634},[5902,6666,6651],{"class":6299},[5902,6668,6282],{"class":6338},[5902,6670,6671],{"class":6299},"]-",[5902,6673,6282],{"class":6338},[5902,6675,6659],{"class":6634},[5902,6677,6678],{"class":6550}," ознак + 1 ціль\"",[5902,6680,6342],{"class":6299},[6682,6683,6684,6687],"template",{"v-slot:output":5898},[5258,6685,6686],{},"Перші 5 рядків датасету:\narea  rooms  floor  metro_dist         price\n0   106      4     12    2.776319  75776.064771\n1    89      1      2    0.801097  54005.514871\n2   123      3      9    4.089780  76815.111982\n3    78      2      4    1.027385  56862.304215\n4   134      1      5    3.254889  72729.553121",[5258,6688,6689],{},"Розмір: 100 квартир, 4 ознак + 1 ціль",[6273,6691,6692],{"type":6275},[5492,6693,6695],{"id":6694},"підготовка-даних","Підготовка даних",[6273,6697,6699,6944],{"execution-count":6698},"2",[5894,6700,6702],{"className":6286,"code":6701,"language":6288,"meta":5898,"style":5898},"from sklearn.model_selection import train_test_split\nfrom sklearn.preprocessing import StandardScaler\n\n# Розділяємо на ознаки (X) та ціль (y)\nX = df[['area', 'rooms', 'floor', 'metro_dist']].values\ny = df['price'].values\n\n# Train\u002FTest Split (80% \u002F 20%)\nX_train, X_test, y_train, y_test = train_test_split(\n    X, y, test_size=0.2, random_state=42\n)\n\n# Нормалізація (StandardScaler)\nscaler = StandardScaler()\nX_train_scaled = scaler.fit_transform(X_train)\nX_test_scaled = scaler.transform(X_test)\n\nprint(f\"Train set: {X_train.shape[0]} зразків\")\nprint(f\"Test set:  {X_test.shape[0]} зразків\")\nprint(f\"\\nФорма X_train: {X_train_scaled.shape}\")\nprint(f\"Форма y_train: {y_train.shape}\")\n",[5771,6703,6704,6717,6729,6733,6738,6764,6775,6779,6784,6789,6811,6815,6819,6824,6829,6834,6839,6843,6870,6896,6922],{"__ignoreMap":5898},[5902,6705,6706,6709,6712,6714],{"class":5904,"line":5905},[5902,6707,6708],{"class":6295},"from",[5902,6710,6711],{"class":6299}," sklearn.model_selection ",[5902,6713,6296],{"class":6295},[5902,6715,6716],{"class":6299}," train_test_split\n",[5902,6718,6719,6721,6724,6726],{"class":5904,"line":5911},[5902,6720,6708],{"class":6295},[5902,6722,6723],{"class":6299}," sklearn.preprocessing ",[5902,6725,6296],{"class":6295},[5902,6727,6728],{"class":6299}," StandardScaler\n",[5902,6730,6731],{"class":5904,"line":5917},[5902,6732,6323],{"emptyLinePlaceholder":6058},[5902,6734,6735],{"class":5904,"line":5923},[5902,6736,6737],{"class":6351},"# Розділяємо на ознаки (X) та ціль (y)\n",[5902,6739,6740,6743,6746,6748,6751,6753,6756,6758,6761],{"class":5904,"line":5929},[5902,6741,6742],{"class":6299},"X = df[[",[5902,6744,6745],{"class":6550},"'area'",[5902,6747,6380],{"class":6299},[5902,6749,6750],{"class":6550},"'rooms'",[5902,6752,6380],{"class":6299},[5902,6754,6755],{"class":6550},"'floor'",[5902,6757,6380],{"class":6299},[5902,6759,6760],{"class":6550},"'metro_dist'",[5902,6762,6763],{"class":6299},"]].values\n",[5902,6765,6766,6769,6772],{"class":5904,"line":5935},[5902,6767,6768],{"class":6299},"y = df[",[5902,6770,6771],{"class":6550},"'price'",[5902,6773,6774],{"class":6299},"].values\n",[5902,6776,6777],{"class":5904,"line":5941},[5902,6778,6323],{"emptyLinePlaceholder":6058},[5902,6780,6781],{"class":5904,"line":5947},[5902,6782,6783],{"class":6351},"# Train\u002FTest Split (80% \u002F 20%)\n",[5902,6785,6786],{"class":5904,"line":5953},[5902,6787,6788],{"class":6299},"X_train, X_test, y_train, y_test = train_test_split(\n",[5902,6790,6791,6794,6797,6799,6801,6803,6806,6808],{"class":5904,"line":5958},[5902,6792,6793],{"class":6299},"    X, y, ",[5902,6795,6796],{"class":6331},"test_size",[5902,6798,6335],{"class":6299},[5902,6800,6433],{"class":6338},[5902,6802,6380],{"class":6299},[5902,6804,6805],{"class":6331},"random_state",[5902,6807,6335],{"class":6299},[5902,6809,6810],{"class":6338},"42\n",[5902,6812,6813],{"class":5904,"line":5964},[5902,6814,6342],{"class":6299},[5902,6816,6817],{"class":5904,"line":5970},[5902,6818,6323],{"emptyLinePlaceholder":6058},[5902,6820,6821],{"class":5904,"line":5976},[5902,6822,6823],{"class":6351},"# Нормалізація (StandardScaler)\n",[5902,6825,6826],{"class":5904,"line":5981},[5902,6827,6828],{"class":6299},"scaler = StandardScaler()\n",[5902,6830,6831],{"class":5904,"line":5987},[5902,6832,6833],{"class":6299},"X_train_scaled = scaler.fit_transform(X_train)\n",[5902,6835,6836],{"class":5904,"line":5993},[5902,6837,6838],{"class":6299},"X_test_scaled = scaler.transform(X_test)\n",[5902,6840,6841],{"class":5904,"line":5999},[5902,6842,6323],{"emptyLinePlaceholder":6058},[5902,6844,6845,6847,6849,6851,6854,6856,6859,6861,6863,6865,6868],{"class":5904,"line":6005},[5902,6846,6608],{"class":6607},[5902,6848,6611],{"class":6299},[5902,6850,6635],{"class":6634},[5902,6852,6853],{"class":6550},"\"Train set: ",[5902,6855,6648],{"class":6634},[5902,6857,6858],{"class":6299},"X_train.shape[",[5902,6860,6517],{"class":6338},[5902,6862,6656],{"class":6299},[5902,6864,6659],{"class":6634},[5902,6866,6867],{"class":6550}," зразків\"",[5902,6869,6342],{"class":6299},[5902,6871,6872,6874,6876,6878,6881,6883,6886,6888,6890,6892,6894],{"class":5904,"line":6011},[5902,6873,6608],{"class":6607},[5902,6875,6611],{"class":6299},[5902,6877,6635],{"class":6634},[5902,6879,6880],{"class":6550},"\"Test set:  ",[5902,6882,6648],{"class":6634},[5902,6884,6885],{"class":6299},"X_test.shape[",[5902,6887,6517],{"class":6338},[5902,6889,6656],{"class":6299},[5902,6891,6659],{"class":6634},[5902,6893,6867],{"class":6550},[5902,6895,6342],{"class":6299},[5902,6897,6898,6900,6902,6904,6906,6908,6911,6913,6916,6918,6920],{"class":5904,"line":6017},[5902,6899,6608],{"class":6607},[5902,6901,6611],{"class":6299},[5902,6903,6635],{"class":6634},[5902,6905,6638],{"class":6550},[5902,6907,6642],{"class":6641},[5902,6909,6910],{"class":6550},"Форма X_train: ",[5902,6912,6648],{"class":6634},[5902,6914,6915],{"class":6299},"X_train_scaled.shape",[5902,6917,6659],{"class":6634},[5902,6919,6638],{"class":6550},[5902,6921,6342],{"class":6299},[5902,6923,6924,6926,6928,6930,6933,6935,6938,6940,6942],{"class":5904,"line":6505},[5902,6925,6608],{"class":6607},[5902,6927,6611],{"class":6299},[5902,6929,6635],{"class":6634},[5902,6931,6932],{"class":6550},"\"Форма y_train: ",[5902,6934,6648],{"class":6634},[5902,6936,6937],{"class":6299},"y_train.shape",[5902,6939,6659],{"class":6634},[5902,6941,6638],{"class":6550},[5902,6943,6342],{"class":6299},[6682,6945,6946,6949],{"v-slot:output":5898},[5258,6947,6948],{},"Train set: 80 зразків\nTest set:  20 зразків",[5258,6950,6951],{},"Форма X_train: (80, 4)\nФорма y_train: (80,)",[6273,6953,6954,6958,6965,6971,7011,7014,7021,7036,7039],{"type":6275},[5492,6955,6957],{"id":6956},"чому-нормалізація-ознак-feature-scaling-критична-для-градієнтного-спуску","Чому нормалізація ознак (Feature Scaling) критична для градієнтного спуску?",[5258,6959,6960,6961,6964],{},"Зверніть увагу на виклик ",[5771,6962,6963],{},"StandardScaler()",". Чому ми не можемо навчати градієнтний спуск на сирих, ненормованих значеннях?",[5258,6966,6967,6968,5264],{},"У нашому наборі даних ознаки мають ",[5221,6969,6970],{},"непорівнянні масштаби",[5198,6972,6973,6983,6992,7002],{},[5201,6974,6975,6978,6979,6982],{},[5771,6976,6977],{},"area"," (площа): лежить у межах десятків та сотень (",[5266,6980],{"tex":6981,":inline":5291},"30\\text{--}150",");",[5201,6984,6985,6988,6989,6982],{},[5771,6986,6987],{},"rooms"," (кімнати): одиниці (",[5266,6990],{"tex":6991,":inline":5291},"1\\text{--}5",[5201,6993,6994,6997,6998,7001],{},[5771,6995,6996],{},"floor"," (поверх): ",[5266,6999],{"tex":7000,":inline":5291},"1\\text{--}20",";",[5201,7003,7004,7007,7008,5490],{},[5771,7005,7006],{},"metro_dist"," (відстань): дробові числа ",[5266,7009],{"tex":7010,":inline":5291},"0.5\\text{--}5.0",[5258,7012,7013],{},"Ця масштабна диспропорція катастрофічно деформує поверхню цільової функції втрат:",[5258,7015,7016],{},[6049,7017],{"alt":7018,"className":7019,"src":7020},"Вплив нормалізації ознак на форму ліній рівня функції втрат та траєкторію градієнтного спуску",[6053],"\u002Fimages\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F04-feature-scaling-contours.png",[6056,7022,6065,7025,6065,7028,6065,7031],{"controls":6058,"autoPlay":6058,"loop":6058,"muted":6058,"playsInline":6058,"poster":7023,"className":7024},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Ffeature_scaling_poster.png",[6053,6061,6062,6063,6064],[6067,7026],{"src":7027,"type":6070},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Ffeature_scaling_optimization.mp4",[6067,7029],{"src":7030,"type":6074},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Ffeature_scaling_optimization.webm",[6049,7032],{"src":7033,"alt":7034,"className":7035},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Ffeature_scaling_optimization.gif","Оптимізація без масштабування (зигзаги) проти StandardScaler (пряма збіжність)",[6053],[5258,7037,7038],{},"Анатомія геометричної оптимізації:",[5198,7040,7041,7070],{},[5201,7042,7043,7046,7048,7049,7051,7052,7055,7056,7058,7059,7061,7062,7065,7066,7069],{},[5221,7044,7045],{},"Без нормалізації (ліва панель):",[5786,7047],{},"\nОскільки ознака ",[5266,7050],{"tex":5301,":inline":5291}," за абсолютною величиною значно переважає інші, функція втрат ",[5266,7053],{"tex":7054,":inline":5291},"L(\\mathbf{w})"," стає гіперчутливою до ваги ",[5266,7057],{"tex":6107,":inline":5291}," і слабко реагує на ",[5266,7060],{"tex":6111,":inline":5291},". Її ізолінії (лінії рівня) перетворюються на ",[5221,7063,7064],{},"вузьку витягнуту ущелину (яру)",". Вектор антиградієнта спрямований майже впоперек долини, змушуючи алгоритм нескінченно коливатися («зигзажити») між крутими схилами. Щоб запобігти вибуху втрат, доводиться обирати мікроскопічний темп навчання ",[5266,7067],{"tex":7068,":inline":5291},"\\alpha",", що розтягує процес на десятки тисяч ітерацій.",[5201,7071,7072,7075,7077,7078,7081,7082,5264,7085,7088,7090,7091,7094,7095,7098,7099,7102,7103,7106],{},[5221,7073,7074],{},"Після нормалізації StandardScaler (права панель):",[5786,7076],{},"\nZ-score стандартизація віднімає середнє ",[5266,7079],{"tex":7080,":inline":5291},"\\mu"," та ділить на стандартне відхилення ",[5266,7083],{"tex":7084,":inline":5291},"\\sigma",[5266,7086,7087],{},"z_i = \\frac{x_i - \\mu}{\\sigma}",[5786,7089],{},"Тепер усі ознаки мають нульове середнє та однакову одиничну дисперсію (",[5266,7092],{"tex":7093,":inline":5291},"\\mu = 0, \\sigma = 1","). Лінії рівня перетворюються на ",[5221,7096,7097],{},"симетричні концентричні кола",". Градієнт спрямований строго по радіусу на дно оптимуму ",[5266,7100],{"tex":7101,":inline":5291},"w^*",", що дозволяє робити впевнені розмашисті кроки (",[5266,7104],{"tex":7105,":inline":5291},"\\alpha = 0.1",") і досягати збіжності по прямій у десятки разів швидше.",[6273,7108,7109],{"type":6275},[5492,7110,7112],{"id":7111},"навчання-моделі-методом-градієнтного-спуску","Навчання моделі методом градієнтного спуску",[6273,7114,7117,7645],{"execution-count":7115,"execution-time":7116},"3","0.18s",[5894,7118,7120],{"className":6286,"code":7119,"language":6288,"meta":5898,"style":5898},"def gradient_descent_multiple(X, y, learning_rate=0.01, epochs=1000):\n    \"\"\"\n    Градієнтний спуск для множинної лінійної регресії.\n    \n    X: матриця ознак (m × n)\n    y: вектор цільових значень (m,)\n    \"\"\"\n    m, n = X.shape\n    \n    # Ініціалізація параметрів\n    w = np.zeros(n)\n    b = 0\n    \n    loss_history = []\n    \n    for epoch in range(epochs):\n        # Передбачення (векторизовано!)\n        y_pred = X @ w + b  # еквівалентно np.dot(X, w) + b\n        \n        # Втрати (MSE)\n        loss = np.mean((y - y_pred) ** 2)\n        loss_history.append(loss)\n        \n        # Градієнти\n        dw = -(2\u002Fm) * X.T @ (y - y_pred)  # вектор розміром (n,)\n        db = -(2\u002Fm) * np.sum(y - y_pred)\n        \n        # Оновлення\n        w = w - learning_rate * dw\n        b = b - learning_rate * db\n        \n        if (epoch + 1) % 200 == 0:\n            print(f\"Епоха {epoch+1:4d}: Loss = {loss:.2f}\")\n    \n    return w, b, loss_history\n\n# Навчання\nprint(\"Навчання моделі...\")\nprint(\"=\" * 50)\nw_final, b_final, loss_history = gradient_descent_multiple(\n    X_train_scaled, y_train, \n    learning_rate=0.1, \n    epochs=1000\n)\n\nprint(\"\\n\" + \"=\" * 50)\nprint(\"Навчені ваги:\")\nfeature_names = ['area', 'rooms', 'floor', 'metro_dist']\nfor i, name in enumerate(feature_names):\n    print(f\"  w_{i+1} ({name:12s}): {w_final[i]:10.2f}\")\nprint(f\"  b  (bias)        : {b_final:10.2f}\")\n",[5771,7121,7122,7162,7167,7172,7176,7181,7186,7190,7195,7199,7204,7209,7217,7221,7226,7230,7247,7252,7260,7265,7270,7279,7284,7288,7293,7306,7316,7320,7325,7330,7335,7339,7362,7399,7403,7411,7416,7422,7434,7452,7458,7464,7478,7489,7494,7499,7523,7535,7558,7575,7622],{"__ignoreMap":5898},[5902,7123,7124,7127,7130,7132,7135,7137,7139,7141,7144,7146,7149,7151,7154,7156,7159],{"class":5904,"line":5905},[5902,7125,7126],{"class":6634},"def",[5902,7128,7129],{"class":6607}," gradient_descent_multiple",[5902,7131,6611],{"class":6299},[5902,7133,7134],{"class":6331},"X",[5902,7136,6380],{"class":6299},[5902,7138,5290],{"class":6331},[5902,7140,6380],{"class":6299},[5902,7142,7143],{"class":6331},"learning_rate",[5902,7145,6335],{"class":6299},[5902,7147,7148],{"class":6338},"0.01",[5902,7150,6380],{"class":6299},[5902,7152,7153],{"class":6331},"epochs",[5902,7155,6335],{"class":6299},[5902,7157,7158],{"class":6338},"1000",[5902,7160,7161],{"class":6299},"):\n",[5902,7163,7164],{"class":5904,"line":5911},[5902,7165,7166],{"class":6550},"    \"\"\"\n",[5902,7168,7169],{"class":5904,"line":5917},[5902,7170,7171],{"class":6550},"    Градієнтний спуск для множинної лінійної регресії.\n",[5902,7173,7174],{"class":5904,"line":5923},[5902,7175,5932],{"class":6550},[5902,7177,7178],{"class":5904,"line":5929},[5902,7179,7180],{"class":6550},"    X: матриця ознак (m × n)\n",[5902,7182,7183],{"class":5904,"line":5935},[5902,7184,7185],{"class":6550},"    y: вектор цільових значень (m,)\n",[5902,7187,7188],{"class":5904,"line":5941},[5902,7189,7166],{"class":6550},[5902,7191,7192],{"class":5904,"line":5947},[5902,7193,7194],{"class":6299},"    m, n = X.shape\n",[5902,7196,7197],{"class":5904,"line":5953},[5902,7198,5932],{"class":6299},[5902,7200,7201],{"class":5904,"line":5958},[5902,7202,7203],{"class":6351},"    # Ініціалізація параметрів\n",[5902,7205,7206],{"class":5904,"line":5964},[5902,7207,7208],{"class":6299},"    w = np.zeros(n)\n",[5902,7210,7211,7214],{"class":5904,"line":5970},[5902,7212,7213],{"class":6299},"    b = ",[5902,7215,7216],{"class":6338},"0\n",[5902,7218,7219],{"class":5904,"line":5976},[5902,7220,5932],{"class":6299},[5902,7222,7223],{"class":5904,"line":5981},[5902,7224,7225],{"class":6299},"    loss_history = []\n",[5902,7227,7228],{"class":5904,"line":5987},[5902,7229,5932],{"class":6299},[5902,7231,7232,7235,7238,7241,7244],{"class":5904,"line":5993},[5902,7233,7234],{"class":6295},"    for",[5902,7236,7237],{"class":6299}," epoch ",[5902,7239,7240],{"class":6295},"in",[5902,7242,7243],{"class":6607}," range",[5902,7245,7246],{"class":6299},"(epochs):\n",[5902,7248,7249],{"class":5904,"line":5999},[5902,7250,7251],{"class":6351},"        # Передбачення (векторизовано!)\n",[5902,7253,7254,7257],{"class":5904,"line":6005},[5902,7255,7256],{"class":6299},"        y_pred = X @ w + b  ",[5902,7258,7259],{"class":6351},"# еквівалентно np.dot(X, w) + b\n",[5902,7261,7262],{"class":5904,"line":6011},[5902,7263,7264],{"class":6299},"        \n",[5902,7266,7267],{"class":5904,"line":6017},[5902,7268,7269],{"class":6351},"        # Втрати (MSE)\n",[5902,7271,7272,7275,7277],{"class":5904,"line":6505},[5902,7273,7274],{"class":6299},"        loss = np.mean((y - y_pred) ** ",[5902,7276,6698],{"class":6338},[5902,7278,6342],{"class":6299},[5902,7280,7281],{"class":5904,"line":6511},[5902,7282,7283],{"class":6299},"        loss_history.append(loss)\n",[5902,7285,7286],{"class":5904,"line":6530},[5902,7287,7264],{"class":6299},[5902,7289,7290],{"class":5904,"line":6535},[5902,7291,7292],{"class":6351},"        # Градієнти\n",[5902,7294,7295,7298,7300,7303],{"class":5904,"line":6541},[5902,7296,7297],{"class":6299},"        dw = -(",[5902,7299,6698],{"class":6338},[5902,7301,7302],{"class":6299},"\u002Fm) * X.T @ (y - y_pred)  ",[5902,7304,7305],{"class":6351},"# вектор розміром (n,)\n",[5902,7307,7308,7311,7313],{"class":5904,"line":6547},[5902,7309,7310],{"class":6299},"        db = -(",[5902,7312,6698],{"class":6338},[5902,7314,7315],{"class":6299},"\u002Fm) * np.sum(y - y_pred)\n",[5902,7317,7318],{"class":5904,"line":6557},[5902,7319,7264],{"class":6299},[5902,7321,7322],{"class":5904,"line":6566},[5902,7323,7324],{"class":6351},"        # Оновлення\n",[5902,7326,7327],{"class":5904,"line":6575},[5902,7328,7329],{"class":6299},"        w = w - learning_rate * dw\n",[5902,7331,7332],{"class":5904,"line":6584},[5902,7333,7334],{"class":6299},"        b = b - learning_rate * db\n",[5902,7336,7337],{"class":5904,"line":6593},[5902,7338,7264],{"class":6299},[5902,7340,7341,7344,7347,7349,7352,7354,7357,7359],{"class":5904,"line":6599},[5902,7342,7343],{"class":6295},"        if",[5902,7345,7346],{"class":6299}," (epoch + ",[5902,7348,6282],{"class":6338},[5902,7350,7351],{"class":6299},") % ",[5902,7353,6471],{"class":6338},[5902,7355,7356],{"class":6299}," == ",[5902,7358,6517],{"class":6338},[5902,7360,7361],{"class":6299},":\n",[5902,7363,7364,7367,7369,7371,7374,7376,7379,7381,7384,7387,7389,7392,7395,7397],{"class":5904,"line":6604},[5902,7365,7366],{"class":6607},"            print",[5902,7368,6611],{"class":6299},[5902,7370,6635],{"class":6634},[5902,7372,7373],{"class":6550},"\"Епоха ",[5902,7375,6648],{"class":6634},[5902,7377,7378],{"class":6299},"epoch+",[5902,7380,6282],{"class":6338},[5902,7382,7383],{"class":6634},":4d}",[5902,7385,7386],{"class":6550},": Loss = ",[5902,7388,6648],{"class":6634},[5902,7390,7391],{"class":6299},"loss",[5902,7393,7394],{"class":6634},":.2f}",[5902,7396,6638],{"class":6550},[5902,7398,6342],{"class":6299},[5902,7400,7401],{"class":5904,"line":6619},[5902,7402,5932],{"class":6299},[5902,7404,7405,7408],{"class":5904,"line":6627},[5902,7406,7407],{"class":6295},"    return",[5902,7409,7410],{"class":6299}," w, b, loss_history\n",[5902,7412,7414],{"class":5904,"line":7413},36,[5902,7415,6323],{"emptyLinePlaceholder":6058},[5902,7417,7419],{"class":5904,"line":7418},37,[5902,7420,7421],{"class":6351},"# Навчання\n",[5902,7423,7425,7427,7429,7432],{"class":5904,"line":7424},38,[5902,7426,6608],{"class":6607},[5902,7428,6611],{"class":6299},[5902,7430,7431],{"class":6550},"\"Навчання моделі...\"",[5902,7433,6342],{"class":6299},[5902,7435,7437,7439,7441,7444,7447,7450],{"class":5904,"line":7436},39,[5902,7438,6608],{"class":6607},[5902,7440,6611],{"class":6299},[5902,7442,7443],{"class":6550},"\"=\"",[5902,7445,7446],{"class":6299}," * ",[5902,7448,7449],{"class":6338},"50",[5902,7451,6342],{"class":6299},[5902,7453,7455],{"class":5904,"line":7454},40,[5902,7456,7457],{"class":6299},"w_final, b_final, loss_history = gradient_descent_multiple(\n",[5902,7459,7461],{"class":5904,"line":7460},41,[5902,7462,7463],{"class":6299},"    X_train_scaled, y_train, \n",[5902,7465,7467,7470,7472,7475],{"class":5904,"line":7466},42,[5902,7468,7469],{"class":6331},"    learning_rate",[5902,7471,6335],{"class":6299},[5902,7473,7474],{"class":6338},"0.1",[5902,7476,7477],{"class":6299},", \n",[5902,7479,7481,7484,7486],{"class":5904,"line":7480},43,[5902,7482,7483],{"class":6331},"    epochs",[5902,7485,6335],{"class":6299},[5902,7487,7488],{"class":6338},"1000\n",[5902,7490,7492],{"class":5904,"line":7491},44,[5902,7493,6342],{"class":6299},[5902,7495,7497],{"class":5904,"line":7496},45,[5902,7498,6323],{"emptyLinePlaceholder":6058},[5902,7500,7502,7504,7506,7508,7510,7512,7515,7517,7519,7521],{"class":5904,"line":7501},46,[5902,7503,6608],{"class":6607},[5902,7505,6611],{"class":6299},[5902,7507,6638],{"class":6550},[5902,7509,6642],{"class":6641},[5902,7511,6638],{"class":6550},[5902,7513,7514],{"class":6299}," + ",[5902,7516,7443],{"class":6550},[5902,7518,7446],{"class":6299},[5902,7520,7449],{"class":6338},[5902,7522,6342],{"class":6299},[5902,7524,7526,7528,7530,7533],{"class":5904,"line":7525},47,[5902,7527,6608],{"class":6607},[5902,7529,6611],{"class":6299},[5902,7531,7532],{"class":6550},"\"Навчені ваги:\"",[5902,7534,6342],{"class":6299},[5902,7536,7538,7541,7543,7545,7547,7549,7551,7553,7555],{"class":5904,"line":7537},48,[5902,7539,7540],{"class":6299},"feature_names = [",[5902,7542,6745],{"class":6550},[5902,7544,6380],{"class":6299},[5902,7546,6750],{"class":6550},[5902,7548,6380],{"class":6299},[5902,7550,6755],{"class":6550},[5902,7552,6380],{"class":6299},[5902,7554,6760],{"class":6550},[5902,7556,7557],{"class":6299},"]\n",[5902,7559,7561,7564,7567,7569,7572],{"class":5904,"line":7560},49,[5902,7562,7563],{"class":6295},"for",[5902,7565,7566],{"class":6299}," i, name ",[5902,7568,7240],{"class":6295},[5902,7570,7571],{"class":6607}," enumerate",[5902,7573,7574],{"class":6299},"(feature_names):\n",[5902,7576,7578,7581,7583,7585,7588,7590,7593,7595,7597,7599,7601,7604,7607,7610,7612,7615,7618,7620],{"class":5904,"line":7577},50,[5902,7579,7580],{"class":6607},"    print",[5902,7582,6611],{"class":6299},[5902,7584,6635],{"class":6634},[5902,7586,7587],{"class":6550},"\"  w_",[5902,7589,6648],{"class":6634},[5902,7591,7592],{"class":6299},"i+",[5902,7594,6282],{"class":6338},[5902,7596,6659],{"class":6634},[5902,7598,5745],{"class":6550},[5902,7600,6648],{"class":6634},[5902,7602,7603],{"class":6299},"name",[5902,7605,7606],{"class":6634},":12s}",[5902,7608,7609],{"class":6550},"): ",[5902,7611,6648],{"class":6634},[5902,7613,7614],{"class":6299},"w_final[i]",[5902,7616,7617],{"class":6634},":10.2f}",[5902,7619,6638],{"class":6550},[5902,7621,6342],{"class":6299},[5902,7623,7625,7627,7629,7631,7634,7636,7639,7641,7643],{"class":5904,"line":7624},51,[5902,7626,6608],{"class":6607},[5902,7628,6611],{"class":6299},[5902,7630,6635],{"class":6634},[5902,7632,7633],{"class":6550},"\"  b  (bias)        : ",[5902,7635,6648],{"class":6634},[5902,7637,7638],{"class":6299},"b_final",[5902,7640,7617],{"class":6634},[5902,7642,6638],{"class":6550},[5902,7644,6342],{"class":6299},[6682,7646,7647,7651,7654],{"v-slot:output":5898},[5186,7648,7650],{"id":7649},"навчання-моделі","Навчання моделі...",[5258,7652,7653],{},"Епоха  200: Loss = 24823671.62\nЕпоха  400: Loss = 24823671.62\nЕпоха  600: Loss = 24823671.62\nЕпоха  800: Loss = 24823671.62\nЕпоха 1000: Loss = 24823671.62",[5258,7655,7656],{},"==================================================\nНавчені ваги:\nw_1 (area        ):   14679.68\nw_2 (rooms       ):    8820.52\nw_3 (floor       ):     586.57\nw_4 (metro_dist  ):  -14690.19\nb  (bias)        :   63833.84",[6273,7658,7659,7664],{"type":6275},[5258,7660,7661],{},[5221,7662,7663],{},"Інтерпретація:",[5198,7665,7666,7672,7678],{},[5201,7667,7668,7671],{},[5221,7669,7670],{},"w₁ (area)",": найбільша вага — площа найвагоміша ознака",[5201,7673,7674,7677],{},[5221,7675,7676],{},"w₄ (metro_dist)",": негативна — віддаленість від метро знижує ціну",[5201,7679,7680,7683],{},[5221,7681,7682],{},"w₃ (floor)",": маленька позитивна — поверх впливає слабко",[6273,7685,7686],{"type":6275},[5492,7687,7689],{"id":7688},"оцінка-якості-на-тестовому-наборі","Оцінка якості на тестовому наборі",[6273,7691,7693,7890],{"execution-count":7692},"4",[5894,7694,7696],{"className":6286,"code":7695,"language":6288,"meta":5898,"style":5898},"from sklearn.metrics import mean_absolute_error, mean_squared_error, r2_score\n\n# Передбачення на тестових даних\ny_pred_test = X_test_scaled @ w_final + b_final\n\n# Метрики\nmae = mean_absolute_error(y_test, y_pred_test)\nmse = mean_squared_error(y_test, y_pred_test)\nrmse = np.sqrt(mse)\nr2 = r2_score(y_test, y_pred_test)\n\nprint(\"Метрики на тестовому наборі:\")\nprint(\"=\" * 50)\nprint(f\"MAE   = ${mae:,.2f}\")\nprint(f\"RMSE  = ${rmse:,.2f}\")\nprint(f\"R²    = {r2:.4f} ({r2*100:.2f}%)\")\nprint(\"\\n✅ Модель пояснює {:.1f}% варіації цін!\".format(r2*100))\n",[5771,7697,7698,7710,7714,7719,7724,7728,7733,7738,7743,7748,7753,7757,7768,7782,7805,7827,7863],{"__ignoreMap":5898},[5902,7699,7700,7702,7705,7707],{"class":5904,"line":5905},[5902,7701,6708],{"class":6295},[5902,7703,7704],{"class":6299}," sklearn.metrics ",[5902,7706,6296],{"class":6295},[5902,7708,7709],{"class":6299}," mean_absolute_error, mean_squared_error, r2_score\n",[5902,7711,7712],{"class":5904,"line":5911},[5902,7713,6323],{"emptyLinePlaceholder":6058},[5902,7715,7716],{"class":5904,"line":5917},[5902,7717,7718],{"class":6351},"# Передбачення на тестових даних\n",[5902,7720,7721],{"class":5904,"line":5923},[5902,7722,7723],{"class":6299},"y_pred_test = X_test_scaled @ w_final + b_final\n",[5902,7725,7726],{"class":5904,"line":5929},[5902,7727,6323],{"emptyLinePlaceholder":6058},[5902,7729,7730],{"class":5904,"line":5935},[5902,7731,7732],{"class":6351},"# Метрики\n",[5902,7734,7735],{"class":5904,"line":5941},[5902,7736,7737],{"class":6299},"mae = mean_absolute_error(y_test, y_pred_test)\n",[5902,7739,7740],{"class":5904,"line":5947},[5902,7741,7742],{"class":6299},"mse = mean_squared_error(y_test, y_pred_test)\n",[5902,7744,7745],{"class":5904,"line":5953},[5902,7746,7747],{"class":6299},"rmse = np.sqrt(mse)\n",[5902,7749,7750],{"class":5904,"line":5958},[5902,7751,7752],{"class":6299},"r2 = r2_score(y_test, y_pred_test)\n",[5902,7754,7755],{"class":5904,"line":5964},[5902,7756,6323],{"emptyLinePlaceholder":6058},[5902,7758,7759,7761,7763,7766],{"class":5904,"line":5970},[5902,7760,6608],{"class":6607},[5902,7762,6611],{"class":6299},[5902,7764,7765],{"class":6550},"\"Метрики на тестовому наборі:\"",[5902,7767,6342],{"class":6299},[5902,7769,7770,7772,7774,7776,7778,7780],{"class":5904,"line":5976},[5902,7771,6608],{"class":6607},[5902,7773,6611],{"class":6299},[5902,7775,7443],{"class":6550},[5902,7777,7446],{"class":6299},[5902,7779,7449],{"class":6338},[5902,7781,6342],{"class":6299},[5902,7783,7784,7786,7788,7790,7793,7795,7798,7801,7803],{"class":5904,"line":5981},[5902,7785,6608],{"class":6607},[5902,7787,6611],{"class":6299},[5902,7789,6635],{"class":6634},[5902,7791,7792],{"class":6550},"\"MAE   = $",[5902,7794,6648],{"class":6634},[5902,7796,7797],{"class":6299},"mae",[5902,7799,7800],{"class":6634},":,.2f}",[5902,7802,6638],{"class":6550},[5902,7804,6342],{"class":6299},[5902,7806,7807,7809,7811,7813,7816,7818,7821,7823,7825],{"class":5904,"line":5987},[5902,7808,6608],{"class":6607},[5902,7810,6611],{"class":6299},[5902,7812,6635],{"class":6634},[5902,7814,7815],{"class":6550},"\"RMSE  = $",[5902,7817,6648],{"class":6634},[5902,7819,7820],{"class":6299},"rmse",[5902,7822,7800],{"class":6634},[5902,7824,6638],{"class":6550},[5902,7826,6342],{"class":6299},[5902,7828,7829,7831,7833,7835,7838,7840,7843,7846,7848,7850,7853,7856,7858,7861],{"class":5904,"line":5993},[5902,7830,6608],{"class":6607},[5902,7832,6611],{"class":6299},[5902,7834,6635],{"class":6634},[5902,7836,7837],{"class":6550},"\"R²    = ",[5902,7839,6648],{"class":6634},[5902,7841,7842],{"class":6299},"r2",[5902,7844,7845],{"class":6634},":.4f}",[5902,7847,5745],{"class":6550},[5902,7849,6648],{"class":6634},[5902,7851,7852],{"class":6299},"r2*",[5902,7854,7855],{"class":6338},"100",[5902,7857,7394],{"class":6634},[5902,7859,7860],{"class":6550},"%)\"",[5902,7862,6342],{"class":6299},[5902,7864,7865,7867,7869,7871,7873,7876,7879,7882,7885,7887],{"class":5904,"line":5999},[5902,7866,6608],{"class":6607},[5902,7868,6611],{"class":6299},[5902,7870,6638],{"class":6550},[5902,7872,6642],{"class":6641},[5902,7874,7875],{"class":6550},"✅ Модель пояснює ",[5902,7877,7878],{"class":6634},"{:.1f}",[5902,7880,7881],{"class":6550},"% варіації цін!\"",[5902,7883,7884],{"class":6299},".format(r2*",[5902,7886,7855],{"class":6338},[5902,7888,7889],{"class":6299},"))\n",[6682,7891,7892,7896,7899],{"v-slot:output":5898},[5186,7893,7895],{"id":7894},"метрики-на-тестовому-наборі","Метрики на тестовому наборі:",[5258,7897,7898],{},"MAE   = $3,987.23\nRMSE  = $5,124.89\nR²    = 0.9842 (98.42%)",[5258,7900,7901],{},"✅ Модель пояснює 98.4% варіації цін!",[6273,7903,7904,7907],{"type":6275},[5221,7905,7906],{},"Висновок:"," R² = 0.98 — відмінний результат! Модель з чотирма ознаками набагато точніша за однофакторну (площа).",[5250,7909],{},[5253,7911,7913],{"id":7912},"використання-scikit-learn","Використання scikit-learn",[5258,7915,7916,7917,7920],{},"Весь код вище можна замінити ",[5221,7918,7919],{},"трьома рядками"," через scikit-learn:",[6268,7922,7924],{"kernel":6270,"title":7923},"sklearn_linear_regression.ipynb",[6273,7925,7927,8108],{"execution-count":6282,"execution-time":7926},"0.09s",[5894,7928,7930],{"className":6286,"code":7929,"language":6288,"meta":5898,"style":5898},"from sklearn.linear_model import LinearRegression\nfrom sklearn.metrics import r2_score\nimport numpy as np\n\n# Припустимо, X_train, X_test, y_train, y_test вже існують\n\n# Крок 1: Створити модель\nmodel = LinearRegression()\n\n# Крок 2: Навчити на тренувальних даних\nmodel.fit(X_train_scaled, y_train)\n\n# Крок 3: Передбачити на тестових\ny_pred = model.predict(X_test_scaled)\n\n# Оцінка\nr2 = r2_score(y_test, y_pred)\nprint(f\"R² = {r2:.4f}\")\n\n# Параметри моделі\nprint(f\"\\nВаги: {model.coef_}\")\nprint(f\"Bias: {model.intercept_:.2f}\")\n",[5771,7931,7932,7944,7955,7965,7969,7974,7978,7983,7988,7992,7997,8002,8006,8011,8016,8020,8025,8030,8051,8055,8060,8086],{"__ignoreMap":5898},[5902,7933,7934,7936,7939,7941],{"class":5904,"line":5905},[5902,7935,6708],{"class":6295},[5902,7937,7938],{"class":6299}," sklearn.linear_model ",[5902,7940,6296],{"class":6295},[5902,7942,7943],{"class":6299}," LinearRegression\n",[5902,7945,7946,7948,7950,7952],{"class":5904,"line":5911},[5902,7947,6708],{"class":6295},[5902,7949,7704],{"class":6299},[5902,7951,6296],{"class":6295},[5902,7953,7954],{"class":6299}," r2_score\n",[5902,7956,7957,7959,7961,7963],{"class":5904,"line":5917},[5902,7958,6296],{"class":6295},[5902,7960,6300],{"class":6299},[5902,7962,6303],{"class":6295},[5902,7964,6306],{"class":6299},[5902,7966,7967],{"class":5904,"line":5923},[5902,7968,6323],{"emptyLinePlaceholder":6058},[5902,7970,7971],{"class":5904,"line":5929},[5902,7972,7973],{"class":6351},"# Припустимо, X_train, X_test, y_train, y_test вже існують\n",[5902,7975,7976],{"class":5904,"line":5935},[5902,7977,6323],{"emptyLinePlaceholder":6058},[5902,7979,7980],{"class":5904,"line":5941},[5902,7981,7982],{"class":6351},"# Крок 1: Створити модель\n",[5902,7984,7985],{"class":5904,"line":5947},[5902,7986,7987],{"class":6299},"model = LinearRegression()\n",[5902,7989,7990],{"class":5904,"line":5953},[5902,7991,6323],{"emptyLinePlaceholder":6058},[5902,7993,7994],{"class":5904,"line":5958},[5902,7995,7996],{"class":6351},"# Крок 2: Навчити на тренувальних даних\n",[5902,7998,7999],{"class":5904,"line":5964},[5902,8000,8001],{"class":6299},"model.fit(X_train_scaled, y_train)\n",[5902,8003,8004],{"class":5904,"line":5970},[5902,8005,6323],{"emptyLinePlaceholder":6058},[5902,8007,8008],{"class":5904,"line":5976},[5902,8009,8010],{"class":6351},"# Крок 3: Передбачити на тестових\n",[5902,8012,8013],{"class":5904,"line":5981},[5902,8014,8015],{"class":6299},"y_pred = model.predict(X_test_scaled)\n",[5902,8017,8018],{"class":5904,"line":5987},[5902,8019,6323],{"emptyLinePlaceholder":6058},[5902,8021,8022],{"class":5904,"line":5993},[5902,8023,8024],{"class":6351},"# Оцінка\n",[5902,8026,8027],{"class":5904,"line":5999},[5902,8028,8029],{"class":6299},"r2 = r2_score(y_test, y_pred)\n",[5902,8031,8032,8034,8036,8038,8041,8043,8045,8047,8049],{"class":5904,"line":6005},[5902,8033,6608],{"class":6607},[5902,8035,6611],{"class":6299},[5902,8037,6635],{"class":6634},[5902,8039,8040],{"class":6550},"\"R² = ",[5902,8042,6648],{"class":6634},[5902,8044,7842],{"class":6299},[5902,8046,7845],{"class":6634},[5902,8048,6638],{"class":6550},[5902,8050,6342],{"class":6299},[5902,8052,8053],{"class":5904,"line":6011},[5902,8054,6323],{"emptyLinePlaceholder":6058},[5902,8056,8057],{"class":5904,"line":6017},[5902,8058,8059],{"class":6351},"# Параметри моделі\n",[5902,8061,8062,8064,8066,8068,8070,8072,8075,8077,8080,8082,8084],{"class":5904,"line":6505},[5902,8063,6608],{"class":6607},[5902,8065,6611],{"class":6299},[5902,8067,6635],{"class":6634},[5902,8069,6638],{"class":6550},[5902,8071,6642],{"class":6641},[5902,8073,8074],{"class":6550},"Ваги: ",[5902,8076,6648],{"class":6634},[5902,8078,8079],{"class":6299},"model.coef_",[5902,8081,6659],{"class":6634},[5902,8083,6638],{"class":6550},[5902,8085,6342],{"class":6299},[5902,8087,8088,8090,8092,8094,8097,8099,8102,8104,8106],{"class":5904,"line":6511},[5902,8089,6608],{"class":6607},[5902,8091,6611],{"class":6299},[5902,8093,6635],{"class":6634},[5902,8095,8096],{"class":6550},"\"Bias: ",[5902,8098,6648],{"class":6634},[5902,8100,8101],{"class":6299},"model.intercept_",[5902,8103,7394],{"class":6634},[5902,8105,6638],{"class":6550},[5902,8107,6342],{"class":6299},[6682,8109,8110,8113],{"v-slot:output":5898},[5258,8111,8112],{},"R² = 0.9842",[5258,8114,8074,8115,8118],{},[5902,8116,8117],{}," 14679.68   8820.52    586.57 -14690.19","\nBias: 63833.84",[5756,8120,8121,8126,8140],{},[5258,8122,8123],{},[5221,8124,8125],{},"Коли писати з нуля, а коли використовувати scikit-learn?",[5198,8127,8128,8134],{},[5201,8129,8130,8133],{},[5221,8131,8132],{},"З нуля:"," для навчання, розуміння алгоритмів, дослідницьких проєктів",[5201,8135,8136,8139],{},[5221,8137,8138],{},"Scikit-learn:"," для production, швидкого прототипування, промислових застосувань",[5258,8141,8142],{},"Бібліотека містить десятки оптимізацій (паралелізація, stabilization, auto-scaling тощо).",[5492,8144,8146],{"id":8145},"бізнес-інтерпретація-вагів-моделі-принцип-ceteris-paribus","Бізнес-інтерпретація вагів моделі: принцип Ceteris Paribus",[5258,8148,8149,8150,8153,8154,8156,8157],{},"У реальному аналізі даних та консалтингу ключова практична цінність множинної лінійної регресії полягає у її ",[5221,8151,8152],{},"абсолютній інтерпретованості",". Кожен коефіцієнт ",[5266,8155],{"tex":5805,":inline":5291}," дає пряму кількісну відповідь: ",[5352,8158,8159,8160,8162],{},"«Як зміниться цільовий показник, якщо збільшити ознаку ",[5266,8161],{"tex":5809,":inline":5291}," рівно на 1 одиницю, зафіксувавши всі інші фактори без змін?»",[5258,8164,8165,8166,5745,8169,5810],{},"В аналітиці та економетриці цей фундаментальний принцип називають латинським терміном ",[5221,8167,8168],{},"ceteris paribus",[5352,8170,8171],{},"«за інших рівних умов»",[5258,8173,8174],{},"Розглянемо приклад навченої моделі оцінки нерухомості з ненормалізованими ознаками:",[5266,8176],{"tex":8177},"\\text{Ціна} = 498.34 \\cdot \\text{Площа} + 5023.67 \\cdot \\text{Кімнати} + 297.89 \\cdot \\text{Поверх} - 124.56",[5258,8179,8180],{},"Як ці числа інтерпретуються для бізнес-замовника:",[5198,8182,8183,8192,8200,8208],{},[5201,8184,8185,8191],{},[5221,8186,5298,8187,8190],{},[5266,8188],{"tex":8189,":inline":5291},"w_1 = +498.34"," $):"," Якщо взяти дві квартири на одному поверсі з однаковою кількістю кімнат, кожен додатковий квадратний метр площі збільшує прогнозовану ціну на 498.34 $.",[5201,8193,8194,8199],{},[5221,8195,5307,8196,8190],{},[5266,8197],{"tex":8198,":inline":5291},"w_2 = +5023.67"," Якщо загальна площа та поверх двох квартир абсолютно ідентичні, додаткова ізольована кімната додає до вартості 5 023.67 $ (покупець платить за функціональне планування).",[5201,8201,8202,8207],{},[5221,8203,5316,8204,8190],{},[5266,8205],{"tex":8206,":inline":5291},"w_3 = +297.89"," За інших рівних характеристик кожен вищий поверх додає близько 300 $ (премія за кращу інсоляцію та відсутність вуличного пилу).",[5201,8209,8210,8216],{},[5221,8211,8212,8213,8190],{},"Зсув (",[5266,8214],{"tex":8215,":inline":5291},"b = -124.56"," Математична константа калібрування лінійної площини для компенсації зміщення шкали.",[6056,8218,6065,8221,6065,8224,6065,8227],{"controls":6058,"autoPlay":6058,"loop":6058,"muted":6058,"playsInline":6058,"poster":8219,"className":8220},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Fceteris_paribus_poster.png",[6053,6061,6062,6063,6064],[6067,8222],{"src":8223,"type":6070},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Fceteris_paribus_slice.mp4",[6067,8225],{"src":8226,"type":6074},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Fceteris_paribus_slice.webm",[6049,8228],{"src":8229,"alt":8230,"className":8231},"\u002Fvideos\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002Fceteris_paribus_slice.gif","Принцип Ceteris Paribus: 3D регресійна площина та її 2D зрізи з незмінним нахилом ваг",[6053],[5250,8233],{},[5253,8235,8237],{"id":8236},"важливість-ознак-feature-importance","Важливість ознак (Feature Importance)",[5258,8239,8240],{},"Після навчання можна оцінити, які ознаки найбільше впливають на результат.",[6268,8242,8244],{"kernel":6270,"title":8243},"feature_importance.ipynb",[6273,8245,8247,8502],{"execution-count":6282,"execution-time":8246},"0.14s",[5894,8248,8250],{"className":6286,"code":8249,"language":6288,"meta":5898,"style":5898},"import matplotlib.pyplot as plt\n\n# Абсолютні значення вагів (чим більша вага — тим важливіша ознака)\nfeature_names = ['Area', 'Rooms', 'Floor', 'Metro Distance']\nweights = np.abs(w_final)\n\n# Сортуємо за важливістю\nsorted_idx = np.argsort(weights)[::-1]\n\nfig, ax = plt.subplots(figsize=(10, 6))\n\nax.barh(range(len(weights)), weights[sorted_idx], color='steelblue', edgecolor='navy')\nax.set_yticks(range(len(weights)))\nax.set_yticklabels([feature_names[i] for i in sorted_idx])\nax.set_xlabel('Абсолютне значення ваги', fontsize=12)\nax.set_title('Важливість ознак (Feature Importance)', fontsize=14, fontweight='bold')\nax.grid(axis='x', alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5771,8251,8252,8264,8268,8273,8297,8302,8306,8311,8320,8324,8345,8349,8385,8399,8414,8434,8463,8488,8492,8497],{"__ignoreMap":5898},[5902,8253,8254,8256,8259,8261],{"class":5904,"line":5905},[5902,8255,6296],{"class":6295},[5902,8257,8258],{"class":6299}," matplotlib.pyplot ",[5902,8260,6303],{"class":6295},[5902,8262,8263],{"class":6299}," plt\n",[5902,8265,8266],{"class":5904,"line":5911},[5902,8267,6323],{"emptyLinePlaceholder":6058},[5902,8269,8270],{"class":5904,"line":5917},[5902,8271,8272],{"class":6351},"# Абсолютні значення вагів (чим більша вага — тим важливіша ознака)\n",[5902,8274,8275,8277,8280,8282,8285,8287,8290,8292,8295],{"class":5904,"line":5923},[5902,8276,7540],{"class":6299},[5902,8278,8279],{"class":6550},"'Area'",[5902,8281,6380],{"class":6299},[5902,8283,8284],{"class":6550},"'Rooms'",[5902,8286,6380],{"class":6299},[5902,8288,8289],{"class":6550},"'Floor'",[5902,8291,6380],{"class":6299},[5902,8293,8294],{"class":6550},"'Metro Distance'",[5902,8296,7557],{"class":6299},[5902,8298,8299],{"class":5904,"line":5929},[5902,8300,8301],{"class":6299},"weights = np.abs(w_final)\n",[5902,8303,8304],{"class":5904,"line":5935},[5902,8305,6323],{"emptyLinePlaceholder":6058},[5902,8307,8308],{"class":5904,"line":5941},[5902,8309,8310],{"class":6351},"# Сортуємо за важливістю\n",[5902,8312,8313,8316,8318],{"class":5904,"line":5947},[5902,8314,8315],{"class":6299},"sorted_idx = np.argsort(weights)[::-",[5902,8317,6282],{"class":6338},[5902,8319,7557],{"class":6299},[5902,8321,8322],{"class":5904,"line":5953},[5902,8323,6323],{"emptyLinePlaceholder":6058},[5902,8325,8326,8329,8332,8335,8338,8340,8343],{"class":5904,"line":5958},[5902,8327,8328],{"class":6299},"fig, ax = plt.subplots(",[5902,8330,8331],{"class":6331},"figsize",[5902,8333,8334],{"class":6299},"=(",[5902,8336,8337],{"class":6338},"10",[5902,8339,6380],{"class":6299},[5902,8341,8342],{"class":6338},"6",[5902,8344,7889],{"class":6299},[5902,8346,8347],{"class":5904,"line":5964},[5902,8348,6323],{"emptyLinePlaceholder":6058},[5902,8350,8351,8354,8357,8359,8362,8365,8368,8370,8373,8375,8378,8380,8383],{"class":5904,"line":5970},[5902,8352,8353],{"class":6299},"ax.barh(",[5902,8355,8356],{"class":6607},"range",[5902,8358,6611],{"class":6299},[5902,8360,8361],{"class":6607},"len",[5902,8363,8364],{"class":6299},"(weights)), weights[sorted_idx], ",[5902,8366,8367],{"class":6331},"color",[5902,8369,6335],{"class":6299},[5902,8371,8372],{"class":6550},"'steelblue'",[5902,8374,6380],{"class":6299},[5902,8376,8377],{"class":6331},"edgecolor",[5902,8379,6335],{"class":6299},[5902,8381,8382],{"class":6550},"'navy'",[5902,8384,6342],{"class":6299},[5902,8386,8387,8390,8392,8394,8396],{"class":5904,"line":5976},[5902,8388,8389],{"class":6299},"ax.set_yticks(",[5902,8391,8356],{"class":6607},[5902,8393,6611],{"class":6299},[5902,8395,8361],{"class":6607},[5902,8397,8398],{"class":6299},"(weights)))\n",[5902,8400,8401,8404,8406,8409,8411],{"class":5904,"line":5981},[5902,8402,8403],{"class":6299},"ax.set_yticklabels([feature_names[i] ",[5902,8405,7563],{"class":6295},[5902,8407,8408],{"class":6299}," i ",[5902,8410,7240],{"class":6295},[5902,8412,8413],{"class":6299}," sorted_idx])\n",[5902,8415,8416,8419,8422,8424,8427,8429,8432],{"class":5904,"line":5987},[5902,8417,8418],{"class":6299},"ax.set_xlabel(",[5902,8420,8421],{"class":6550},"'Абсолютне значення ваги'",[5902,8423,6380],{"class":6299},[5902,8425,8426],{"class":6331},"fontsize",[5902,8428,6335],{"class":6299},[5902,8430,8431],{"class":6338},"12",[5902,8433,6342],{"class":6299},[5902,8435,8436,8439,8442,8444,8446,8448,8451,8453,8456,8458,8461],{"class":5904,"line":5993},[5902,8437,8438],{"class":6299},"ax.set_title(",[5902,8440,8441],{"class":6550},"'Важливість ознак (Feature Importance)'",[5902,8443,6380],{"class":6299},[5902,8445,8426],{"class":6331},[5902,8447,6335],{"class":6299},[5902,8449,8450],{"class":6338},"14",[5902,8452,6380],{"class":6299},[5902,8454,8455],{"class":6331},"fontweight",[5902,8457,6335],{"class":6299},[5902,8459,8460],{"class":6550},"'bold'",[5902,8462,6342],{"class":6299},[5902,8464,8465,8468,8471,8473,8476,8478,8481,8483,8486],{"class":5904,"line":5999},[5902,8466,8467],{"class":6299},"ax.grid(",[5902,8469,8470],{"class":6331},"axis",[5902,8472,6335],{"class":6299},[5902,8474,8475],{"class":6550},"'x'",[5902,8477,6380],{"class":6299},[5902,8479,8480],{"class":6331},"alpha",[5902,8482,6335],{"class":6299},[5902,8484,8485],{"class":6338},"0.3",[5902,8487,6342],{"class":6299},[5902,8489,8490],{"class":5904,"line":6005},[5902,8491,6323],{"emptyLinePlaceholder":6058},[5902,8493,8494],{"class":5904,"line":6011},[5902,8495,8496],{"class":6299},"plt.tight_layout()\n",[5902,8498,8499],{"class":5904,"line":6017},[5902,8500,8501],{"class":6299},"plt.show()\n",[6682,8503,8504],{"v-slot:output":5898},[6049,8505],{"alt":8506,"className":8507,"src":8508},"Feature Importance",[6053],"\u002Fimages\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F01.png",[5250,8510],{},[5253,8512,8514],{"id":8513},"обмеження-та-застереження","Обмеження та застереження",[8516,8517,8518,8526],"warning",{},[5258,8519,8520,8523,8525],{},[5221,8521,8522],{},"Мультиколінеарність:",[5786,8524],{},"\nЯкщо дві ознаки сильно корелюють між собою (наприклад, \"площа\" і \"кількість кімнат\" майже завжди зростають разом), модель стає нестабільною. Ваги можуть бути хибними. Рішення:",[5198,8527,8528,8531,8534],{},[5201,8529,8530],{},"Видалити одну з корельованих ознак",[5201,8532,8533],{},"Використати регуляризацію (Ridge, Lasso)",[5201,8535,8536],{},"Застосувати PCA (Principal Component Analysis)",[5469,8538,8539,8542,8544,8545,8548,8549,8551,8552,8555,8556,8559],{},[5221,8540,8541],{},"Аналогія (Два свідки в суді):",[5786,8543],{},"\nУявіть, що суддя допитує двох свідків правопорушення, які слово в слово повторюють одну й ту саму розповідь (як-от площа квартири у ",[5266,8546],{"tex":8547,":inline":5291},"\\text{м}^2"," та вона ж у квадратних футах). Суддя не отримує жодної нової інформації про реальність, проте виникає проблема: кому з них яку частку довіри надати?",[5786,8550],{},"\nУ результаті алгоритм оптимізації може випадково призначити першому свідку вагу ",[5266,8553],{"tex":8554,":inline":5291},"+15\\,000",", а другому ",[5266,8557],{"tex":8558,":inline":5291},"-14\\,800",", утворюючи велетенські штучні коефіцієнти, які компенсують один одного, але руйнують фізичну інтерпретованість моделі.",[8516,8561,8562,8567,8593],{},[5258,8563,8564],{},[5221,8565,8566],{},"Припущення лінійної регресії:",[5537,8568,8569,8575,8581,8587],{},[5201,8570,8571,8574],{},[5221,8572,8573],{},"Лінійність:"," залежність має бути лінійною",[5201,8576,8577,8580],{},[5221,8578,8579],{},"Незалежність залишків:"," помилки не корелюють між собою",[5201,8582,8583,8586],{},[5221,8584,8585],{},"Гомоскедастичність:"," дисперсія помилок постійна",[5201,8588,8589,8592],{},[5221,8590,8591],{},"Нормальність залишків:"," помилки розподілені нормально",[5258,8594,8595],{},"Якщо припущення порушені → модель дасть погані результати. Потрібна діагностика залишків (residual plots).",[5492,8597,8599],{"id":8598},"діагностика-залишків-та-валідація-припущень","Діагностика залишків та валідація припущень",[5258,8601,8602],{},"Щоб переконатися, що навчена модель множинної регресії є адекватною і статистично надійною, інженери з машинного навчання обов'язково проводять візуальну діагностику залишків:",[5258,8604,8605],{},[6049,8606],{"alt":8607,"className":8608,"src":8609},"Діагностика якості моделі регресії: співвідношення фактичних та передбачених значень та гістограма розподілу залишків",[6053],"\u002Fimages\u002Fai-python\u002Flinear-regression-theory\u002Fmultiple-regression\u002F03-diagnostics-residuals.png",[5258,8611,8612],{},"Два фундаментальних графіки діагностики:",[5537,8614,8615,8635],{},[5201,8616,8617,8620],{},[5221,8618,8619],{},"Фактичні значення проти передбачених (Actual vs Predicted, ліва панель):",[5198,8621,8622,8628],{},[5201,8623,8624,8625,5490],{},"У ідеальної моделі всі точки спостережень лежать рівно на діагональній пунктирній лінії ",[5266,8626],{"tex":8627,":inline":5291},"y = \\hat{y}",[5201,8629,8630,8631,8634],{},"Рівномірне розсіювання точок вздовж усієї діагоналі без дугоподібних вигинів свідчить про дотримання ",[5221,8632,8633],{},"припущення лінійності"," та відсутність систематичного заниження чи завищення прогнозів у різних діапазонах цін.",[5201,8636,8637,8640],{},[5221,8638,8639],{},"Розподіл залишків (Residual Distribution, права панель):",[5198,8641,8642,8652,8662],{},[5201,8643,8644,8645,8648,8649,5810],{},"Залишки ",[5266,8646],{"tex":8647,":inline":5291},"e_i = y_i - \\hat{y}_i"," повинні мати центр строго в точці 0 (",[5266,8650],{"tex":8651,":inline":5291},"\\mathbb{E}[e] = 0",[5201,8653,8654,8655,8658,8659,5490],{},"Форма гістограми та кривої ядерної оцінки густини (KDE) повинна нагадувати симетричний дзвоноподібний ",[5221,8656,8657],{},"нормальний розподіл"," Гауса ",[5266,8660],{"tex":8661,":inline":5291},"\\mathcal{N}(0, \\sigma^2)",[5201,8663,8664],{},"Якщо гістограма має важкі асиметричні хвости (скошеність) або два горби, це вказує на наявність прихованих підгруп у даних або пропущені суттєві нелінійні фактори.",[5250,8666],{},[5253,8668,8670],{"id":8669},"резюме-підрозділу","Резюме підрозділу",[5190,8672,8673,8721],{},[5193,8674,8677],{"icon":8675,"title":8676},"i-lucide-check-circle","✅ Ключові висновки",[5198,8678,8679,8685,8695,8703,8709,8715],{},[5201,8680,8681,8684],{},[5221,8682,8683],{},"Множинна регресія"," узагальнює просту регресію на n ознак",[5201,8686,8687,8690,8691,8694],{},[5221,8688,8689],{},"Векторна форма (один об'єкт):"," ",[5266,8692],{"tex":8693,":inline":5291},"\\hat{y} = \\mathbf{w}^T \\mathbf{x} + b"," — компактний запис через скалярний добуток",[5201,8696,8697,8690,8700,8702],{},[5221,8698,8699],{},"Матрична форма (весь датасет):",[5266,8701],{"tex":6223,":inline":5291}," — векторизоване паралельне передбачення",[5201,8704,8705,8708],{},[5221,8706,8707],{},"Геометрія:"," модель — це гіперплощина у багатовимірному просторі",[5201,8710,8711,8714],{},[5221,8712,8713],{},"Scikit-learn"," дозволяє навчити модель за 3 рядки коду",[5201,8716,8717,8720],{},[5221,8718,8719],{},"Feature importance"," показує, які ознаки найвпливовіші",[5193,8722,8725,8728],{"icon":8723,"title":8724},"i-lucide-arrow-right","🔜 Наступний крок",[5258,8726,8727],{},"Ми завершили теоретичну частину лінійної регресії. Тепер закріпимо знання практичними завданнями трьох рівнів складності.",[5258,8729,8730,8733],{},[5221,8731,8732],{},"Наступний підрозділ:"," Практичні завдання та резюме модуля",[8735,8736,8737],"style",{},"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 .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 .siwwj, html code.shiki .siwwj{--shiki-light:#001080;--shiki-default:#9CDCFE;--shiki-dark:#9CDCFE}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 .sbdoH, html code.shiki .sbdoH{--shiki-light:#A31515;--shiki-default:#CE9178;--shiki-dark:#CE9178}html pre.shiki code .s8Opu, html code.shiki .s8Opu{--shiki-light:#795E26;--shiki-default:#DCDCAA;--shiki-dark:#DCDCAA}html pre.shiki code .su1O8, html code.shiki .su1O8{--shiki-light:#0000FF;--shiki-default:#569CD6;--shiki-dark:#569CD6}html pre.shiki code .sjcCO, html code.shiki .sjcCO{--shiki-light:#EE0000;--shiki-default:#D7BA7D;--shiki-dark:#D7BA7D}",{"title":5898,"searchDepth":5911,"depth":5911,"links":8739},[8740,8741,8745,8749,8752,8756,8757,8760,8761,8764],{"id":5255,"depth":5911,"text":5256},{"id":5479,"depth":5911,"text":5480,"children":8742},[8743,8744],{"id":5494,"depth":5917,"text":5495},{"id":5531,"depth":5917,"text":5532},{"id":5678,"depth":5911,"text":5679,"children":8746},[8747,8748],{"id":5693,"depth":5917,"text":5694},{"id":5822,"depth":5917,"text":5823},{"id":5867,"depth":5911,"text":5868,"children":8750},[8751],{"id":6029,"depth":5917,"text":6030},{"id":6165,"depth":5911,"text":6166,"children":8753},[8754,8755],{"id":6176,"depth":5917,"text":6177},{"id":6205,"depth":5917,"text":6206},{"id":6262,"depth":5911,"text":6263},{"id":7912,"depth":5911,"text":7913,"children":8758},[8759],{"id":8145,"depth":5917,"text":8146},{"id":8236,"depth":5911,"text":8237},{"id":8513,"depth":5911,"text":8514,"children":8762},[8763],{"id":8598,"depth":5917,"text":8599},{"id":8669,"depth":5911,"text":8670},"Узагальнення лінійної регресії на випадок кількох вхідних змінних, векторна форма запису, приклад передбачення ціни квартири за 4 ознаками","md",null,{},{"title":3794,"description":8765},"HsNkeF4QEvaShFEtS2Whhj3d5IK6-SZ6gcKwBkkTuKI",[8772,8774],{"title":3790,"path":3791,"stem":3792,"description":8773,"children":-1},"Функція втрат, локальний та глобальний мінімум, похідна та градієнт, алгоритм градієнтного спуску, learning rate",{"title":3798,"path":3799,"stem":3800,"description":8775,"children":-1},"Три рівні практичних завдань для закріплення знань з лінійної регресії, підсумкові картки ключових концепцій",1792055104886]