spire.algebra

FieldAlgebra

trait FieldAlgebra[V, F] extends RingAlgebra[V, F] with VectorSpace[V, F]

A FieldAlgebra is a vector space that is also a Ring. An example is the complex numbers.

Linear Supertypes
VectorSpace[V, F], RingAlgebra[V, F], Rng[V], Semiring[V], MultiplicativeSemigroup[V], Module[V, F], AdditiveAbGroup[V], AdditiveGroup[V], AdditiveMonoid[V], AdditiveSemigroup[V], AnyRef, Any
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Inherited
  1. FieldAlgebra
  2. VectorSpace
  3. RingAlgebra
  4. Rng
  5. Semiring
  6. MultiplicativeSemigroup
  7. Module
  8. AdditiveAbGroup
  9. AdditiveGroup
  10. AdditiveMonoid
  11. AdditiveSemigroup
  12. AnyRef
  13. Any
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Abstract Value Members

  1. abstract def negate(x: V): V

    Definition Classes
    AdditiveGroup

  2. abstract def plus(x: V, y: V): V

    Definition Classes
    AdditiveSemigroup

  3. implicit abstract def scalar: Field[F]

    Definition Classes
    VectorSpace → Module

  4. abstract def times(x: V, y: V): V

    Definition Classes
    MultiplicativeSemigroup

  5. abstract def timesl(r: F, v: V): V

    Definition Classes
    Module

  6. abstract def zero: V

    Definition Classes
    AdditiveMonoid

Concrete Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. def additive: AbGroup[V]

    Definition Classes
    AdditiveAbGroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  9. def divr(v: V, f: F): V

    Definition Classes
    VectorSpace

  10. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  11. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  12. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  13. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  14. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  15. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  16. def minus(x: V, y: V): V

    Definition Classes
    AdditiveGroup

  17. def multiplicative: Semigroup[V]

    Definition Classes
    MultiplicativeSemigroup

  18. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  19. final def notify(): Unit

    Definition Classes
    AnyRef

  20. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  21. def pow(a: V, n: Int): V

    Definition Classes
    Semiring

  22. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  23. def timesr(v: V, r: F): V

    Definition Classes
    Module

  24. def toString(): String

    Definition Classes
    AnyRef → Any

  25. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  26. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  27. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from VectorSpace[V, F]

Inherited from RingAlgebra[V, F]

Inherited from Rng[V]

Inherited from Semiring[V]

Inherited from MultiplicativeSemigroup[V]

Inherited from Module[V, F]

Inherited from AdditiveAbGroup[V]

Inherited from AdditiveGroup[V]

Inherited from AdditiveMonoid[V]

Inherited from AdditiveSemigroup[V]

Inherited from AnyRef

Inherited from Any

Ungrouped