spire.laws

VectorSpaceLaws

trait VectorSpaceLaws[V, A] extends Laws

Linear Supertypes
Laws, AnyRef, Any
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  1. VectorSpaceLaws
  2. Laws
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Type Members

  1. class DefaultProperties extends SpireProperties with HasOneParent

    Convenience class for property sets which may have a parent, but no bases.

  2. trait HasOneParent extends AnyRef

    Convenience trait to mix into subclasses of SpireProperties for property sets which only have one parent.

  3. class SimpleProperties extends DefaultProperties

    Convencience class for property sets without parents and bases.

  4. class SpaceProperties extends SpireProperties

  5. trait SpireProperties extends AnyRef

    This trait abstracts over the various ways how the laws of a type class can depend on the laws of other type classes.

Abstract Value Members

  1. abstract val scalarLaws: RingLaws[A]

  2. abstract val vectorLaws: GroupLaws[V]

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. object SpaceProperties

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  9. def emptyProperties: SpireProperties

    Empty property set.

    Empty property set.

    Definition Classes
    Laws
  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. def innerProductSpace(implicit V: InnerProductSpace[V, A], A: Order[A], A0: Signed[A]): SpaceProperties

  16. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  17. def linearity(f: (V) ⇒ A)(implicit V: Module[V, A]): SimpleProperties

  18. def metricSpace(implicit V: MetricSpace[V, A], o: Order[A], A: Ring[A]): SpaceProperties

  19. def module(implicit V: Module[V, A]): SpaceProperties

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

    Definition Classes
    AnyRef
  21. def normedVectorSpace(implicit V: NormedVectorSpace[V, A], ev0: Order[A], ev1: Signed[A]): SpaceProperties

  22. final def notify(): Unit

    Definition Classes
    AnyRef
  23. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  24. implicit def scalar(implicit V: Module[V, A]): Ring[A]

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

    Definition Classes
    AnyRef
  26. def toString(): String

    Definition Classes
    AnyRef → Any
  27. def vectorSpace(implicit V: VectorSpace[V, A]): SpaceProperties

  28. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  30. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Laws

Inherited from AnyRef

Inherited from Any

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