// 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:

import org.lastaflute.web.validation.Required;

/**
 * Form for uploading search request files to the Fess search engine.
 * This form is used in the admin interface to upload search request configuration files
 * that define search behaviors and request handling.
 */
public class UploadForm {

    /**
     * The multipart file containing the search request configurations to be uploaded.

 * 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() {

  fun proxyMoveTest(cleanClose: Boolean) {
    // Define a single Proxy at myproxy:8008 that will artificially move during the test
    val proxySelector = RecordingProxySelector()
    val socketAddress = InetSocketAddress.createUnresolved("myproxy", 8008)
    proxySelector.proxies.add(Proxy(Proxy.Type.HTTP, socketAddress))

    // Define two host names for the DNS routing of fake proxy servers

/**
 * Form class for editing mapping dictionary entries in the admin interface.
 * This form extends CreateForm to include fields necessary for updating existing mapping dictionary entries.
 * Mapping dictionaries define field mappings and transformations during the indexing process.
 *
 */
public class EditForm extends CreateForm {

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

import org.lastaflute.web.validation.theme.conversion.ValidateTypeFailure;

import jakarta.validation.constraints.Size;

/**
 * Form class for creating mapping dictionary entries.
 * Mapping dictionaries allow administrators to define synonym mappings
 * where multiple input terms can be mapped to a single output term for search normalization.
 *
 */
public class CreateForm {

    /**
     * Creates a new CreateForm instance.
     */

modifier, you must make sure the popper element\n   * has its position set to `absolute` before Popper.js can do its work!\n   *\n   * Just disable this modifier and define your own to achieve the desired effect.\n   *\n   * @memberof modifiers\n   * @inner\n   */\n  applyStyle: {\n    /** @prop {number} order=900 - Index used to define the order of execution */\n    order: 900,\n    /** @prop {Boolean} enabled=true - Whether the modifier is enabled or not */\n    enabled: true,\n    /** @prop {ModifierFn}...

 * This form extends CreateForm to include fields necessary for updating existing scheduler entries,
 * including tracking information for optimistic locking.
 * Schedulers define automated jobs such as crawling and system maintenance tasks.
 *
 */
public class EditForm extends CreateForm {

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

 * This form extends CreateForm to include fields necessary for updating existing data config entries,
 * including tracking information for optimistic locking and audit trails.
 * Data configs define how to crawl and extract data from databases, CSV files, and other data sources.
 *
 */
public class EditForm extends CreateForm {

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

 * This form extends CreateForm to include fields necessary for updating existing group entries,
 * including tracking information for optimistic locking and audit trails.
 * Groups are used to organize users and define access permissions.
 *
 */
public class EditForm extends CreateForm {

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

    /**