// vol. 2, Knuth, 4.2.2, (16) to the two-variable case. We have two value series x_i and y_i.
    // We define the arithmetic means X_n = 1/n \sum_{i=1}^n x_i, and Y_n = 1/n \sum_{i=1}^n y_i.
    // We also define the sum of the products of the differences from the means
    //           C_n = \sum_{i=1}^n x_i y_i - n X_n Y_n
    // for all n >= 1. Then for all n > 1:

**FastAPI** will know that it can use this dependency to define a "security scheme" in the OpenAPI schema (and the automatic API docs).

/// info | Technical Details

    return requireLinks()[i];
  }

  private void setLink(int i, long value) {
    requireLinks()[i] = value;
  }

  /*
   * We don't define getPredecessor+getSuccessor and setPredecessor+setSuccessor here because
   * they're defined above -- including logic to add and subtract 1 to map between the values stored
   * in the predecessor/successor arrays and the indexes in the elements array that they identify.
   */

    @Nonnull
    Optional<Project> getParent();

    /**
     * Returns all profiles defined in this project.
     * <p>
     * This method returns only the profiles defined directly in the current project's POM
     * and does not include profiles from parent projects.
     *
     * @return a non-null, possibly empty list of profiles defined in this project
     * @see Profile
     * @see #getEffectiveProfiles()
     */

 */
@DisplayName("DialectVersion Tests")
class DialectVersionTest extends BaseTest {

    @Test
    @DisplayName("Should define all SMB dialect versions")
    void testDialectVersionConstants() {
        // Verify all major SMB versions are defined
        assertNotNull(DialectVersion.SMB1);
        assertNotNull(DialectVersion.SMB202);
        assertNotNull(DialectVersion.SMB210);

    return requireNonNull(predecessor);
  }

  private int[] requireSuccessors() {
    return requireNonNull(successor);
  }

  /*
   * We don't define getPredecessor+getSuccessor and setPredecessor+setSuccessor here because
   * they're defined above -- including logic to add and subtract 1 to map between the values stored
   * in the predecessor/successor arrays and the indexes in the elements array that they identify.
   */

    return requireNonNull(predecessor);
  }

  private int[] requireSuccessors() {
    return requireNonNull(successor);
  }

  /*
   * We don't define getPredecessor+getSuccessor and setPredecessor+setSuccessor here because
   * they're defined above -- including logic to add and subtract 1 to map between the values stored
   * in the predecessor/successor arrays and the indexes in the elements array that they identify.
   */

errors.not_load_from_server = Konnte von diesem Server nicht geladen werden. Ursache: {0}
errors.failed_to_start_job = Fehler beim Starten eines Jobs: {0}.
errors.failed_to_stop_job = Fehler beim Stoppen eines Jobs: {0}.
errors.failed_to_download_synonym_file = Fehler beim Herunterladen einer Synonymdatei.
errors.failed_to_upload_synonym_file = Fehler beim Hochladen einer Synonymdatei.

```kotlin
    dependencies {
       // define a BOM and its version
       implementation(platform("com.squareup.okhttp3:okhttp-bom:5.3.0"))

       // define any required OkHttp artifacts without version
       implementation("com.squareup.okhttp3:okhttp")
       implementation("com.squareup.okhttp3:logging-interceptor")

    return requireLinks()[i];
  }

  private void setLink(int i, long value) {
    requireLinks()[i] = value;
  }

  /*
   * We don't define getPredecessor+getSuccessor and setPredecessor+setSuccessor here because
   * they're defined above -- including logic to add and subtract 1 to map between the values stored
   * in the predecessor/successor arrays and the indexes in the elements array that they identify.
   */