Aquí, con `ge=1`, `item_id` necesitará ser un número entero "`g`reater than or `e`qual" a `1`.

{* ../../docs_src/path_params_numeric_validations/tutorial004_an_py39.py hl[10] *}

## Validaciones numéricas: mayor que y menor o igual { #number-validations-greater-than-and-less-than-or-equal }

Lo mismo aplica para:

* `gt`: `g`reater `t`han
* `le`: `l`ess than or `e`qual

But in this case, the same **FastAPI** application will handle the API and the authentication.

So, let's review it from that simplified point of view:

* The user types the `username` and `password` in the frontend, and hits `Enter`.
* The frontend (running in the user's browser) sends that `username` and `password` to a specific URL in our API (declared with `tokenUrl="token"`).

  public <T> T[] toArray(T[] a) {
    Monitor monitor = this.monitor;
    monitor.enter();
    try {
      return q.toArray(a);
    } finally {
      monitor.leave();
    }
  }

  @CanIgnoreReturnValue // pushed down from class to method
  @Override
  public String toString() {
    Monitor monitor = this.monitor;
    monitor.enter();
    try {
      return q.toString();
    } finally {

   *
   * @return the number of elements in this queue
   */
  @CanIgnoreReturnValue
  @Override
  public int size() {
    Monitor monitor = this.monitor;
    monitor.enter();
    try {
      return count;
    } finally {
      monitor.leave();
    }
  }

  // this doc comment is a modified copy of the inherited doc comment,
  // without the reference to unlimited queues.

                description = "Enter the git 'user.email' configuration to commit change under",
                display = ParameterDisplay.PROMPT,
                allowEmpty = true,
            )
            text(
                "confirmationCode",
                "",
                label = "Confirmation Code",

				Having:  []clause.Expression{clause.Eq{"role", "admin"}},
			}, clause.GroupBy{
				Columns: []clause.Column{{Name: "gender"}},
				Having:  []clause.Expression{clause.Neq{"gender", "U"}},
			}},
			"SELECT * FROM `users` GROUP BY `role`,`gender` HAVING `role` = ? AND `gender` <> ?",
			[]interface{}{"admin", "U"},
		},
	}

	for idx, result := range results {

    verifyOccupiedMethodsInAnotherThread(monitor, false, false, 0);
    monitor.enter();
    try {
      verifyOccupiedMethodsInCurrentThread(monitor, true, true, 1);
      verifyOccupiedMethodsInAnotherThread(monitor, true, false, 0);
      monitor.enter();
      try {
        verifyOccupiedMethodsInCurrentThread(monitor, true, true, 2);

    verifyOccupiedMethodsInAnotherThread(monitor, false, false, 0);
    monitor.enter();
    try {
      verifyOccupiedMethodsInCurrentThread(monitor, true, true, 1);
      verifyOccupiedMethodsInAnotherThread(monitor, true, false, 0);
      monitor.enter();
      try {
        verifyOccupiedMethodsInCurrentThread(monitor, true, true, 2);

    withLock {
      while (headersQueue.isEmpty() && errorCode == null) {
        val doReadTimeout = callerIsIdle || doReadTimeout()
        if (doReadTimeout) {
          readTimeout.enter()
        }
        try {
          waitForIo()
        } finally {
          if (doReadTimeout) {
            readTimeout.exitAndThrowIfTimedOut()
          }
        }
      }

        // Go to the home directory
        $ cd
        // Create a directory for all your code projects
        $ mkdir code
        // Enter into that code directory
        $ cd code
        // Create a directory for this project
        $ mkdir awesome-project
        // Enter into that project directory
        $ cd awesome-project
        ```
        »»»

    Result (German):

        «««