checkInvalidRange("(1.0,1.0]");
        checkInvalidRange("[1.0,1.0)");
        checkInvalidRange("(1.0,1.0)");
        checkInvalidRange("[1.1,1.0]");
        checkInvalidRange("[1.0,1.2),1.3");
        // overlap
        checkInvalidRange("[1.0,1.2),(1.1,1.3]");
        // overlap
        checkInvalidRange("[1.1,1.3),(1.0,1.2]");
        // ordering
        checkInvalidRange("(1.1,1.2],[1.0,1.1)");

namex==0.0.9 \
    --hash=sha256:7bd4e4a2cc3876592111609fdf4cbe6ff19883adbe6b3b40d842fd340f77025e \
    --hash=sha256:8adfea9da5cea5be8f4e632349b4669e30172c7859e1fd97459fdf3b17469253
    # via keras-nightly
numpy==2.1.3 ; python_version <= "3.13" \
    --hash=sha256:016d0f6f5e77b0f0d45d77387ffa4bb89816b57c835580c3ce8e099ef830befe \
    --hash=sha256:02135ade8b8a84011cbb67dc44e07c58f28575cf9ecf8ab304e51c05528c19f0 \

因此，举例来说，其他项目能够以不同的身份认证方法使用相同的 `APIRouter`。

### 包含一个*路径操作* { #include-a-path-operation }

我们还可以直接将*路径操作*添加到 `FastAPI` 应用中。

这里我们这样做了...只是为了表明我们可以做到🤷：

{* ../../docs_src/bigger_applications/app_an_py310/main.py hl[21:23] title["app/main.py"] *}

它将与通过 `app.include_router()` 添加的所有其他*路径操作*一起正常运行。

/// info | 非常技术细节

**注意**：这是一个非常技术性的细节，你也许可以**直接跳过**。

---

`APIRouter` 没有被「挂载」，它们与应用程序的其余部分没有隔离。

      delegate.shutdown();
    }

    @Override
    public final List<Runnable> shutdownNow() {
      return delegate.shutdownNow();
    }

    /*
     * TODO: https://github.com/google/guava/issues/2143 - In addition to overriding `execute`, also
     * override the `Future`-returning methods of `ExecutorService` to propagate cancellation from
     * our `TrustedListenableFutureTask` to a `Future` returned by the delegate executor?

/**
 * Contains constant definitions for the HTTP header field names. See:
 *
 * <ul>
 *   <li><a href="http://www.ietf.org/rfc/rfc2109.txt">RFC 2109</a>
 *   <li><a href="http://www.ietf.org/rfc/rfc2183.txt">RFC 2183</a>
 *   <li><a href="http://www.ietf.org/rfc/rfc2616.txt">RFC 2616</a>
 *   <li><a href="http://www.ietf.org/rfc/rfc2965.txt">RFC 2965</a>
 *   <li><a href="http://www.ietf.org/rfc/rfc5988.txt">RFC 5988</a>
 * </ul>
 *

### *path operation* を追加 { #include-a-path-operation }

`FastAPI` アプリに *path operations* を直接追加することもできます。

ここでは（できることを示すためだけに）追加します 🤷:

{* ../../docs_src/bigger_applications/app_an_py310/main.py hl[21:23] title["app/main.py"] *}

そして、`app.include_router()` で追加したほかの *path operations* と一緒に正しく動作します。

/// info | 非常に技術的な詳細

注記: これは非常に技術的な詳細で、**読み飛ばして構いません**。

---

nt:"\f299"}.fa-equals:before{content:"\f52c"}.fa-eraser:before{content:"\f12d"}.fa-erlang:before{content:"\f39d"}.fa-ethereum:before{content:"\f42e"}.fa-ethernet:before{content:"\f796"}.fa-etsy:before{content:"\f2d7"}.fa-euro-sign:before{content:"\f153"}.fa-evernote:before{content:"\f839"}.fa-exchange-alt:before{content:"\f362"}.fa-exclamation:before{content:"\f12a"}.fa-exclamation-circle:before{content:"\f06a"}.fa-exclamation-triangle:before{content:"\f071"}.fa-expand:before{content:"\f065"}.fa...

  TF_Operation* ten = ScalarConst(10, host_graph_, s_, "ten");
  TF_Operation* func_feed = Placeholder(host_graph_, s_);
  TF_Operation* func_op = Use({two, ten, func_feed});
  Run({{func_feed, Int32Tensor(3)}}, func_op, 2 + 10 + 3);
  VerifyFDef({"add1", "add2_0"}, M({{"feed1"}, {"feed2"}, {"feed3"}}),
             M({{"add2"}}),
             {{"feed1", "add1:0"},
              {"feed2", "add1:1"},
              {"add1:sum:0", "add2_0:0"},

        `tensorflow[and-cuda]==2.15.0` will not install this fixed version.
        Please use `==2.15.0.post1` to specify this exact version on Linux
        platforms, or a fuzzy version specification, such as `==2.15.*`, to
        specify the most recent compatible version of TensorFlow 2.15 on all
        platforms.

# Release 2.15.0

## TensorFlow

### Breaking Changes

nt:"\f299"}.fa-equals:before{content:"\f52c"}.fa-eraser:before{content:"\f12d"}.fa-erlang:before{content:"\f39d"}.fa-ethereum:before{content:"\f42e"}.fa-ethernet:before{content:"\f796"}.fa-etsy:before{content:"\f2d7"}.fa-euro-sign:before{content:"\f153"}.fa-evernote:before{content:"\f839"}.fa-exchange-alt:before{content:"\f362"}.fa-exclamation:before{content:"\f12a"}.fa-exclamation-circle:before{content:"\f06a"}.fa-exclamation-triangle:before{content:"\f071"}.fa-expand:before{content:"\f065"}.fa...