- Fixed stale SMB mount issue when SMB file share is deleted and then unmounted. ([#121851](https://github.com/kubernetes/kubernetes/pull/121851), [@andyzhangx](https://github.com/andyzhangx))

   * canonical forms:
   *
   * <ul>
   *   <li>[start..end)
   *   <li>[start..+∞)
   *   <li>(-∞..end) (only if type {@code C} is unbounded below)
   *   <li>(-∞..+∞) (only if type {@code C} is unbounded below)
   * </ul>
   */
  public Range<C> canonical(DiscreteDomain<C> domain) {
    checkNotNull(domain);
    Cut<C> lower = lowerBound.canonical(domain);

This is different from using an `APIRouter` as a mounted application is completely independent. The OpenAPI and docs from your main application won't include anything from the mounted application, etc.

You can read more about this in the [Advanced User Guide](../advanced/index.md){.internal-link target=_blank}.

## Details

This sub-application is just another standard FastAPI application, but this is the one that will be "mounted":

```Python hl_lines="11  14-16"
{!../../docs_src/sub_applications/tutorial001.py!}
```

### Mount the sub-application

In your top-level application, `app`, mount the sub-application, `subapi`.

In this case, it will be mounted at the path `/subapi`:

```Python hl_lines="11  19"

  @CheckForNull
  abstract C greatestValueBelow(DiscreteDomain<C> domain);

  /*
   * The canonical form is a BelowValue cut whenever possible, otherwise ABOVE_ALL, or
   * (only in the case of types that are unbounded below) BELOW_ALL.
   */
  Cut<C> canonical(DiscreteDomain<C> domain) {
    return this;
  }

  // note: overridden by {BELOW,ABOVE}_ALL
  @Override
  public int compareTo(Cut<C> that) {

   * canonical forms:
   *
   * <ul>
   *   <li>[start..end)
   *   <li>[start..+∞)
   *   <li>(-∞..end) (only if type {@code C} is unbounded below)
   *   <li>(-∞..+∞) (only if type {@code C} is unbounded below)
   * </ul>
   */
  public Range<C> canonical(DiscreteDomain<C> domain) {
    checkNotNull(domain);
    Cut<C> lower = lowerBound.canonical(domain);

  @CheckForNull
  abstract C greatestValueBelow(DiscreteDomain<C> domain);

  /*
   * The canonical form is a BelowValue cut whenever possible, otherwise ABOVE_ALL, or
   * (only in the case of types that are unbounded below) BELOW_ALL.
   */
  Cut<C> canonical(DiscreteDomain<C> domain) {
    return this;
  }

  // note: overridden by {BELOW,ABOVE}_ALL
  @Override
  public int compareTo(Cut<C> that) {

```html
<a href="/items/42">
```

## Templates and static files

You can also use `url_for()` inside of the template, and use it, for example, with the `StaticFiles` you mounted with the `name="static"`.

```jinja hl_lines="4"
{!../../docs_src/templates/templates/item.html!}
```

In this example, it would link to a CSS file at `static/styles.css` with:

```CSS hl_lines="4"

  // TODO(srbs): It seems like this is used only for performance optimization
  // and not for correctness. The only downside of keeping this 1 seems to be
  // that the gradient accumulation is unbounded and we will never
  // aggressively aggregate accumulated gradients to recover memory.
  // Revisit and fix.
  return 1;
}

// Consumes references to the tensors in the gradient_tensors list and returns

/// info | "Very Technical Details"

**Note**: this is a very technical detail that you probably can **just skip**.

---

The `APIRouter`s are not "mounted", they are not isolated from the rest of the application.

This is because we want to include their *path operations* in the OpenAPI schema and the user interfaces.