spire.algebra

MapInnerProductSpace

trait MapInnerProductSpace[K, V] extends MapVectorSpace[K, V] with InnerProductSpace[Map[K, V], V]

Linear Supertypes
InnerProductSpace[Map[K, V], V], NormedVectorSpace[Map[K, V], V], MetricSpace[Map[K, V], V], MapVectorSpace[K, V], VectorSpace[Map[K, V], V], MapRng[K, V], RingAlgebra[Map[K, V], V], Rng[Map[K, V]], Semiring[Map[K, V]], MultiplicativeSemigroup[Map[K, V]], Module[Map[K, V], V], AdditiveAbGroup[Map[K, V]], AdditiveGroup[Map[K, V]], AdditiveMonoid[Map[K, V]], AdditiveSemigroup[Map[K, V]], AnyRef, Any
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Inherited
  1. MapInnerProductSpace
  2. InnerProductSpace
  3. NormedVectorSpace
  4. MetricSpace
  5. MapVectorSpace
  6. VectorSpace
  7. MapRng
  8. RingAlgebra
  9. Rng
  10. Semiring
  11. MultiplicativeSemigroup
  12. Module
  13. AdditiveAbGroup
  14. AdditiveGroup
  15. AdditiveMonoid
  16. AdditiveSemigroup
  17. AnyRef
  18. Any
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Abstract Value Members

  1. implicit abstract def nroot: NRoot[V]

    Definition Classes
    InnerProductSpace
  2. implicit abstract def scalar: Field[V]

    Definition Classes
    VectorSpaceModule

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[Map[K, V]]

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  9. def distance(v: Map[K, V], w: Map[K, V]): V

    Definition Classes
    NormedVectorSpaceMetricSpace
  10. def divr(v: Map[K, V], f: V): Map[K, V]

    Definition Classes
    VectorSpace
  11. def dot(x: Map[K, V], y: Map[K, V]): V

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

    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  15. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any
  16. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  17. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  18. def minus(x: Map[K, V], y: Map[K, V]): Map[K, V]

    Definition Classes
    AdditiveGroup
  19. def multiplicative: Semigroup[Map[K, V]]

    Definition Classes
    MultiplicativeSemigroup
  20. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  21. def negate(x: Map[K, V]): Map[K, V]

    Definition Classes
    MapRngAdditiveGroup
  22. def norm(v: Map[K, V]): V

    Definition Classes
    InnerProductSpaceNormedVectorSpace
  23. def normalize(v: Map[K, V]): Map[K, V]

    Definition Classes
    NormedVectorSpace
  24. final def notify(): Unit

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

    Definition Classes
    AnyRef
  26. def plus(x: Map[K, V], y: Map[K, V]): Map[K, V]

    Definition Classes
    MapRngAdditiveSemigroup
  27. def pow(a: Map[K, V], n: Int): Map[K, V]

    Definition Classes
    Semiring
  28. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  29. def times(x: Map[K, V], y: Map[K, V]): Map[K, V]

    Definition Classes
    MapVectorSpaceMapRngMultiplicativeSemigroup
  30. def timesl(r: V, v: Map[K, V]): Map[K, V]

    Definition Classes
    MapRngModule
  31. def toString(): String

    Definition Classes
    AnyRef → Any
  32. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws()
  35. def zero: Map[K, V]

    Definition Classes
    MapRngAdditiveMonoid

Inherited from InnerProductSpace[Map[K, V], V]

Inherited from NormedVectorSpace[Map[K, V], V]

Inherited from MetricSpace[Map[K, V], V]

Inherited from MapVectorSpace[K, V]

Inherited from VectorSpace[Map[K, V], V]

Inherited from MapRng[K, V]

Inherited from RingAlgebra[Map[K, V], V]

Inherited from Rng[Map[K, V]]

Inherited from Semiring[Map[K, V]]

Inherited from MultiplicativeSemigroup[Map[K, V]]

Inherited from Module[Map[K, V], V]

Inherited from AdditiveAbGroup[Map[K, V]]

Inherited from AdditiveGroup[Map[K, V]]

Inherited from AdditiveMonoid[Map[K, V]]

Inherited from AdditiveSemigroup[Map[K, V]]

Inherited from AnyRef

Inherited from Any

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