Field (Apache Commons Math 3.6.1 API)

org.apache.commons.math3

## Interface Field<T>

- Type Parameters:
    `T` - the type of the field elements
  All Known Implementing Classes:
    BigFractionField, BigRealField, ComplexField, Decimal64Field, DfpField, FractionField

      public interface Field<T>

  Interface representing a field.

  Classes implementing this interface will often be singletons.

  Since:
    2.0
  See Also:
    `FieldElement`

- - ### Method Summary

    Methods
    Modifier and Type | Method and Description
    --- | ---
    `T` | `getOne()` Get the multiplicative identity of the field.
    `Class<? extends FieldElement<T>>` | `getRuntimeClass()` Returns the runtime class of the FieldElement.
    `T` | `getZero()` Get the additive identity of the field.

- - ### Method Detail

    - #### getZero

          T getZero()

      Get the additive identity of the field.

      The additive identity is the element e0 of the field such that for all elements a of the field, the equalities a + e0 = e0 + a = a hold.

      Returns:
        additive identity of the field

    - #### getOne

          T getOne()

      Get the multiplicative identity of the field.

      The multiplicative identity is the element e1 of the field such that for all elements a of the field, the equalities a × e1 = e1 × a = a hold.

      Returns:
        multiplicative identity of the field

    - #### getRuntimeClass

          Class<? extends FieldElement<T>> getRuntimeClass()

      Returns the runtime class of the FieldElement.
      Returns:
        The `Class` object that represents the runtime class of this object.

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