## Number validations: greater than or equal { #number-validations-greater-than-or-equal }

With `Query` and `Path` (and others you'll see later) you can declare number constraints.

Here, with `ge=1`, `item_id` will need to be an integer number "`g`reater than or `e`qual" to `1`.

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

          <item index="11" class="java.lang.String" itemvalue="org.checkerframework.checker.nullness.compatqual.NullableType" />
          <item index="12" class="java.lang.String" itemvalue="org.checkerframework.checker.nullness.qual.Nullable" />
          <item index="13" class="java.lang.String" itemvalue="org.eclipse.jdt.annotation.Nullable" />
          <item index="14" class="java.lang.String" itemvalue="org.jetbrains.annotations.Nullable" />

    * Me seguir para saber quando um novo projeto Open Source for criado.
* <a href="https://x.com/tiangolo" class="external-link" target="_blank">Me siga no **X (Twitter)**</a>.
    * Me dizer o motivo pelo o qual você está usando o FastAPI(Adoro ouvir esse tipo de comentário).
    * Saber quando eu soltar novos anúncios ou novas ferramentas.

				<exclusion>
					<groupId>com.google.j2objc</groupId>
					<artifactId>j2objc-annotations</artifactId>
				</exclusion>
				<exclusion>
					<groupId>org.checkerframework</groupId>
					<artifactId>checker-qual</artifactId>
				</exclusion>
				<exclusion>
					<groupId>com.google.code.findbugs</groupId>
					<artifactId>jsr305</artifactId>
				</exclusion>
				<exclusion>

---

"_**Netflix** vui mừng thông báo việc phát hành framework mã nguồn mở của chúng tôi cho *quản lí khủng hoảng* tập trung: **Dispatch**! [xây dựng với **FastAPI**]_"

        assertEquals("deadbeef", blob.toString(), "toString() should reflect underlying content");
        assertEquals(data.hashCode(), blob.hashCode(), "hashCode should equal the array's hashCode");
    }

    // Validates equals() returns true for same-sized, equal-content blobs
    @Test
    @DisplayName("equals: identical content and size -> true")
    void equals_identicalContent_true() {
        // Arrange

    assertTrue(Objects.equal(1, 1));
    assertTrue(Objects.equal(null, null));

    // test distinct string objects
    String s1 = "foobar";
    String s2 = new String(s1);
    assertTrue(Objects.equal(s1, s2));

    assertFalse(Objects.equal(s1, null));
    assertFalse(Objects.equal(null, s1));
    assertFalse(Objects.equal("foo", "bar"));
    assertFalse(Objects.equal("1", 1));
  }

 *   <li>comparing each pair of objects within the same equality group returns true
 *   <li>comparing each pair of objects from different equality groups returns false
 *   <li>the hash codes of any two equal objects are equal
 * </ul>
 *
 * <p>When a test fails, the error message labels the objects involved in the failed comparison as
 * follows:
 *
 * <ul>

    /**
     * Do not instantiate.
     */
    protected ObjectUtil() {
    }

    /**
     * Returns true if the two objects are equal, or both are null.
     *
     * @param object1 the first object
     * @param object2 the second object
     * @return true if equal or both null, false otherwise
     */
    public static boolean equals(final Object object1, final Object object2) {
        if (object1 == object2) {

            this.calledName = null;
        }

        return this.calledName;
    }

    /*
     * There are three degrees of state that any NbtAddress can have.
     *
     * 1) IP Address - If a dot-quad IP string is used with getByName (or used
     * to create an NbtAddress internal to this netbios package), no query is
     * sent on the wire and the only state this object has is it's IP address