@IgnoreJRERequirement
  public static <T extends @Nullable Object> Supplier<T> memoizeWithExpiration(
      Supplier<T> delegate, Duration duration) {
    checkNotNull(delegate);
    // The alternative of `duration.compareTo(Duration.ZERO) > 0` causes J2ObjC trouble.
    checkArgument(
        !duration.isNegative() && !duration.isZero(), "duration (%s) must be > 0", duration);

   *
   * @since 21.0
   */
  public static Comparator<Boolean> falseFirst() {
    return BooleanComparator.FALSE_FIRST;
  }

  /**
   * Returns a hash code for {@code value}; obsolete alternative to {@link
   * Boolean#hashCode(boolean)}.
   *
   * @param value a primitive {@code boolean} value
   * @return a hash code for the value
   */
  @InlineMe(replacement = "Boolean.hashCode(value)")

   * instruct Java serialization to use it instead of the originally created object.
   *
   * <p>We have chosen this approach over at least two alternatives:
   *
   * <ul>
   *   <li>We could change the serialization of this class incompatibly. We have reserved the right
   *       to make such changes to our serialized forms, and we have made them before, usually

/// check | 確認

繰り返しになりますが、同じPython型宣言を使用するだけで、**FastAPI**は対話的なドキュメントを自動的に生成します（Swagger UIを統合）。

パスパラメータが整数として宣言されていることに注意してください。

///

## 標準ベースのメリット、ドキュメンテーションの代替物 { #standards-based-benefits-alternative-documentation }

また、生成されたスキーマが [OpenAPI](https://github.com/OAI/OpenAPI-Specification/blob/master/versions/3.1.0.md) 標準に従っているので、互換性のあるツールが多数あります。

![Swagger UI](https://fastapi.tiangolo.com/img/index/index-01-swagger-ui-simple.png)

### Альтернативна API документація { #alternative-api-docs }

А тепер перейдіть сюди [http://127.0.0.1:8000/redoc](http://127.0.0.1:8000/redoc).

Ви побачите альтернативну автоматичну документацію (надається [ReDoc](https://github.com/Rebilly/ReDoc)):

你會看到自動生成的互動式 API 文件（由 [Swagger UI](https://github.com/swagger-api/swagger-ui) 提供）：

![Swagger UI](https://fastapi.tiangolo.com/img/index/index-01-swagger-ui-simple.png)

### 替代 API 文件 { #alternative-api-docs }

現在前往 [http://127.0.0.1:8000/redoc](http://127.0.0.1:8000/redoc)。

你會看到另一種自動文件（由 [ReDoc](https://github.com/Rebilly/ReDoc) 提供）：

   * Collections.min(collection, thisComparator)} instead. Otherwise, use {@code
   * Streams.stream(iterable).min(thisComparator).get()} instead. Note that these alternatives do
   * not guarantee which tied minimum element is returned.
   *
   * @param iterable the iterable whose minimum element is to be determined
   * @throws NoSuchElementException if {@code iterable} is empty

   *
   * <p>This method prioritizes convenience over performance: It reads the entire input into memory
   * immediately. To instead read and process lines individually, use an alternative like {@link
   * BufferedReader#lines()}.
   *
   * <p><b>Java 25+ users:</b> If the input is a {@link Reader}, you may prefer {@link

             * because we might close the socket during a
             * request. However the chances are slim and the
             * retry code should ensure the overall request
             * is serviced. The alternative complicates things
             * more than I think is worth it.
             */

            if (socket != null) {
                socket.close();
                socket = null;
            }

<img src="/img/tutorial/path-params/image01.png">

/// check

同樣地，只要使用那個 Python 型別宣告，**FastAPI** 就會提供自動、互動式的文件（整合 Swagger UI）。

注意路徑參數被宣告為整數。

///

## 基於標準的優勢與替代文件 { #standards-based-benefits-alternative-documentation }

而且因為產生的 schema 來自 [OpenAPI](https://github.com/OAI/OpenAPI-Specification/blob/master/versions/3.1.0.md) 標準，有很多相容的工具可用。