spire.algebra

Module

trait Module[V, R] extends AdditiveAbGroup[V]

A module generalizes a vector space by requiring its scalar need only form a ring, rather than a field.

Linear Supertypes
AdditiveAbGroup[V], AdditiveCMonoid[V], AdditiveCSemigroup[V], AdditiveGroup[V], AdditiveMonoid[V], AdditiveSemigroup[V], AnyRef, Any
Known Subclasses
ArrayCoordinateSpace, CoordinateSpace, DistInnerProductSpace, DistModule, DistNormedVectorSpace, DistVectorSpace, FieldAlgebra, InnerProductSpace, MapInnerProductSpace, MapRng, MapVectorSpace, NormedVectorSpace, PolynomialEuclideanRing, PolynomialRing, PolynomialRng, RingAlgebra, SeqCoordinateSpace, SeqInnerProductSpace, SeqLpNormedVectorSpace, SeqMaxNormedVectorSpace, SeqModule, SeqVectorSpace, VectorSpace, ZAlgebra, ZModule
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  2. By inheritance
Inherited
  1. Module
  2. AdditiveAbGroup
  3. AdditiveCMonoid
  4. AdditiveCSemigroup
  5. AdditiveGroup
  6. AdditiveMonoid
  7. AdditiveSemigroup
  8. AnyRef
  9. Any
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Visibility
  1. Public
  2. All

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: Rng[R]

  4. abstract def timesl(r: R, v: V): V

  5. abstract def zero: V

    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

    Definition Classes
    AnyRef → Any

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

    Definition Classes
    AnyRef → Any

  4. def additive: AbGroup[V]

    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def clone(): AnyRef

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

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

    Definition Classes
    AnyRef

  8. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  9. def finalize(): Unit

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

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

    Definition Classes
    AnyRef → Any

  11. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  12. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

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

    Definition Classes
    AdditiveGroup

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

    Definition Classes
    AnyRef

  15. final def notify(): Unit

    Definition Classes
    AnyRef

  16. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

    Definition Classes
    AnyRef

  18. def timesr(v: V, r: R): V

  19. def toString(): String

    Definition Classes
    AnyRef → Any

  20. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from AdditiveAbGroup[V]

Inherited from AdditiveCMonoid[V]

Inherited from AdditiveCSemigroup[V]

Inherited from AdditiveGroup[V]

Inherited from AdditiveMonoid[V]

Inherited from AdditiveSemigroup[V]

Inherited from AnyRef

Inherited from Any

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