assertEquals(expectedMean, IntMath.mean(x, y));
    assertEquals(
        "The mean of x and y should equal the mean of y and x", expectedMean, IntMath.mean(y, x));
  }

  /**
   * Computes the mean in a way that is obvious and resilient to overflow by using BigInteger
   * arithmetic.
   */
  private static int computeMeanSafely(int x, int y) {
    BigInteger bigX = BigInteger.valueOf(x);

  }

  /**
   * Returns an ordering that compares objects according to the order in which they appear in the
   * given list. Only objects present in the list (according to {@link Object#equals}) may be
   * compared. This comparator imposes a "partial ordering" over the type {@code T}. Subsequent
   * changes to the {@code valuesInOrder} list will have no effect on the returned comparator. Null
   * values in the list are not supported.
   *

      put(range, value);
      return;
    }

    Range<K> coalescedRange = coalescedRange(range, checkNotNull(value));
    put(coalescedRange, value);
  }

  /** Computes the coalesced range for the given range+value - does not mutate the map. */
  private Range<K> coalescedRange(Range<K> range, V value) {
    Range<K> coalescedRange = range;
    Entry<Cut<K>, RangeMapEntry<K, V>> lowerEntry =

* 🌐 Sync German docs. PR [#14367](https://github.com/fastapi/fastapi/pull/14367) by [@nilslindemann](https://github.com/nilslindemann).

## 0.123.4

### Fixes

* 🐛 Fix OpenAPI schema support for computed fields when using `separate_input_output_schemas=False`. PR [#13207](https://github.com/fastapi/fastapi/pull/13207) by [@vgrafe](https://github.com/vgrafe).

### Docs

What’s changing now:

* 🚫 We’re no longer accepting new community-submitted translation PRs.

* ⏳ Existing open PRs will be reviewed and can still be merged if completed within the next 3 weeks (since July 11 2025).

* 🌐 In the future, we will only support languages where at least three active native speakers are available to review and maintain translations.

type ReplicationPermissionCheck struct{}

func (e ReplicationPermissionCheck) Error() string {
	return "Replication permission validation requests cannot be completed"
}

func isReplicationPermissionCheck(err error) bool {
	_, ok := err.(ReplicationPermissionCheck)
	return ok
}

// DataMovementOverwriteErr - captures the error when a data movement activity

  }

  public void testExpectedFpp() {
    BloomFilter<Object> bf = BloomFilter.create(HashTestUtils.BAD_FUNNEL, 10, 0.03);
    double fpp = bf.expectedFpp();
    assertThat(fpp).isEqualTo(0.0);
    // usually completed in less than 200 iterations
    while (fpp != 1.0) {
      boolean changed = bf.put(new Object());
      double newFpp = bf.expectedFpp();
      // if changed, the new fpp is strictly higher, otherwise it is the same

/**
 * An interface for <a
 * href="https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)">graph</a>-structured data,
 * whose edges have associated non-unique values.
 *
 * <p>A graph is composed of a set of nodes and a set of edges connecting pairs of nodes.
 *
 * <p>There are three primary interfaces provided to represent graphs. In order of increasing

 * whose edges are <a
 * href="https://github.com/google/guava/wiki/GraphsExplained#uniqueness">unique</a> objects.
 *
 * <p>A graph is composed of a set of nodes and a set of edges connecting pairs of nodes.
 *
 * <p>There are three primary interfaces provided to represent graphs. In order of increasing

   * of {@link java.util.concurrent.CompletableFuture#thenAccept} and {@link
   * java.util.concurrent.CompletableFuture#thenAcceptAsync}.
   *
   * @param callback The callback to invoke when this {@code Future} is completed.
   * @param executor The executor to run {@code callback} when the future completes.
   */
  public final void addCallback(FutureCallback<? super V> callback, Executor executor) {