// 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

 * to Java development tools, such as the Java compiler and Java runtime
 * environment. This interface allows users to define and configure
 * Java-related toolchains that can be utilized during the build process
 * in Maven.</p>
 *
 * <p>Java toolchains are defined in the Maven toolchains.xml file and can
 * be referenced in the project's POM file. This enables developers to

 * This form extends CreateForm to include fields necessary for updating existing duplicate host entries,
 * including tracking information for optimistic locking and audit trails.
 * Duplicate hosts are used to define which domains should be treated as the same site for crawling purposes.
 *
 */
public class EditForm extends CreateForm {

    /**
     * Creates a new EditForm instance.
     */
    public EditForm() {

 * KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
 * under the License.
 */

/**
 * Provides classes for Maven plugin descriptors that define plugin metadata, configuration,
 * and execution parameters. These descriptors are typically stored in plugin.xml files
 * within the META-INF/maven directory of plugin JARs.
 *
 * @since 4.0.0
 */

 */
@DisplayName("Configuration Interface Tests")
class ConfigurationTest extends BaseTest {

    @Mock
    private Configuration mockConfig;

    @Test
    @DisplayName("Should define all configuration methods")
    void testConfigurationInterface() {
        assertDoesNotThrow(() -> {
            mockConfig.getRandom();
            mockConfig.getDfsTtl();
            mockConfig.isDfsStrictView();

public class CollectionSerializationEqualTester<E> extends AbstractCollectionTester<E> {
  @CollectionFeature.Require(SERIALIZABLE)
  /*
   * As the class docs say, this test only makes sense for collections that define equals().
   * Accordingly, our testing framework adds it only when testing an implementation of List, Set, or
   * Multiset.
   */
  @SuppressWarnings("UndefinedEquals")
  public void testReserialize() {

import org.apache.maven.api.annotations.Experimental;
import org.apache.maven.api.annotations.ThreadSafe;

/**
 * Represents the contract for Mojos to interact with the Maven infrastructure.
 * Implementations of this interface define specific build-process behaviors
 * that are triggered during a Maven build lifecycle.
 *
 * The primary entry point is the {@link #execute()} method, which encapsulates

 */
@DisplayName("DfsReferralData Interface Tests")
class DfsReferralDataTest extends BaseTest {

    @Mock
    private DfsReferralData mockReferralData;

    @Test
    @DisplayName("Should define interface methods")
    void testDfsReferralDataInterface() {
        // Verify interface methods exist
        assertDoesNotThrow(() -> {
            mockReferralData.unwrap(DfsReferralData.class);

    @Test
    void testToString() {
        // Create a mock DfsReferralData object
        DfsReferralData mockData = mock(DfsReferralData.class);
        String expectedToString = "Mock DfsReferralData";

        // Define the behavior of the mock's toString() method
        when(mockData.toString()).thenReturn(expectedToString);

        // Create a DfsReferral instance with the mock data