Packages

c

spire.std

MapInnerProductSpace

class MapInnerProductSpace[K, V] extends MapVectorSpace[K, V] with InnerProductSpace[Map[K, V], V] with Serializable

Annotations
@SerialVersionUID()
Linear Supertypes
InnerProductSpace[Map[K, V], V], MapVectorSpace[K, V], VectorSpace[Map[K, V], V], MapRng[K, V], RingAlgebra[Map[K, V], V], Rng[Map[K, V]], Module[Map[K, V], V], AdditiveAbGroup[Map[K, V]], AdditiveCMonoid[Map[K, V]], AdditiveCSemigroup[Map[K, V]], AdditiveGroup[Map[K, V]], MapSemiring[K, V], Serializable, Serializable, Semiring[Map[K, V]], MultiplicativeSemigroup[Map[K, V]], AdditiveMonoid[Map[K, V]], AdditiveSemigroup[Map[K, V]], AnyRef, Any
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  2. By Inheritance
Inherited
  1. MapInnerProductSpace
  2. InnerProductSpace
  3. MapVectorSpace
  4. VectorSpace
  5. MapRng
  6. RingAlgebra
  7. Rng
  8. Module
  9. AdditiveAbGroup
  10. AdditiveCMonoid
  11. AdditiveCSemigroup
  12. AdditiveGroup
  13. MapSemiring
  14. Serializable
  15. Serializable
  16. Semiring
  17. MultiplicativeSemigroup
  18. AdditiveMonoid
  19. AdditiveSemigroup
  20. AnyRef
  21. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new MapInnerProductSpace()(implicit arg0: Field[V])

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[Map[K, 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. def divr(v: Map[K, V], f: V): Map[K, V]
    Definition Classes
    VectorSpace
  8. def dot(x: Map[K, V], y: Map[K, V]): V
    Definition Classes
    MapInnerProductSpace → InnerProductSpace
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  10. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  11. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  12. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  13. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  14. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  15. def isZero(a: Map[K, V])(implicit ev: Eq[Map[K, V]]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  16. def minus(x: Map[K, V], y: Map[K, V]): Map[K, V]
    Definition Classes
    AdditiveGroup
  17. def multiplicative: Semigroup[Map[K, V]]
    Definition Classes
    MultiplicativeSemigroup
  18. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def negate(x: Map[K, V]): Map[K, V]
    Definition Classes
    MapRng → AdditiveGroup
  20. def normed(implicit ev: NRoot[V]): NormedVectorSpace[Map[K, V], V]
    Definition Classes
    InnerProductSpace
  21. final def notify(): Unit
    Definition Classes
    AnyRef
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  23. def plus(x: Map[K, V], y: Map[K, V]): Map[K, V]
    Definition Classes
    MapSemiring → AdditiveSemigroup
  24. def pow(a: Map[K, V], n: Int): Map[K, V]

    Returns a multiplied with itself n times.

    Returns a multiplied with itself n times. For instance, a pow 3 === a * a * a. Since this is a semiring, there is no notion of a multiplicative identity, and so the exponent must be positive.

    Definition Classes
    Semiring
  25. def prodOption(as: TraversableOnce[Map[K, V]]): Option[Map[K, V]]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeSemigroup
  26. def prodn(a: Map[K, V], n: Int): Map[K, V]

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeSemigroup
  27. def prodnAboveOne(a: Map[K, V], n: Int): Map[K, V]
    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  28. implicit val scalar: Field[V]
    Definition Classes
    MapVectorSpace → VectorSpace → MapRng → Module → MapSemiring
  29. def sum(as: TraversableOnce[Map[K, V]]): Map[K, V]

    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    AdditiveMonoid
  30. def sumOption(as: TraversableOnce[Map[K, V]]): Option[Map[K, V]]

    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveSemigroup
  31. def sumn(a: Map[K, V], n: Int): Map[K, V]

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  32. def sumnAboveOne(a: Map[K, V], n: Int): Map[K, V]
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  33. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  34. def times(x: Map[K, V], y: Map[K, V]): Map[K, V]
    Definition Classes
    MapVectorSpace → MapSemiring → MultiplicativeSemigroup
  35. def timesl(r: V, v: Map[K, V]): Map[K, V]
    Definition Classes
    MapRng → Module
  36. def timesr(v: Map[K, V], r: V): Map[K, V]
    Definition Classes
    Module
  37. def toString(): String
    Definition Classes
    AnyRef → Any
  38. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  41. def zero: Map[K, V]
    Definition Classes
    MapSemiring → AdditiveMonoid

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

Inherited from AdditiveAbGroup[Map[K, V]]

Inherited from AdditiveCMonoid[Map[K, V]]

Inherited from AdditiveCSemigroup[Map[K, V]]

Inherited from AdditiveGroup[Map[K, V]]

Inherited from MapSemiring[K, V]

Inherited from Serializable

Inherited from Serializable

Inherited from Semiring[Map[K, V]]

Inherited from MultiplicativeSemigroup[Map[K, V]]

Inherited from AdditiveMonoid[Map[K, V]]

Inherited from AdditiveSemigroup[Map[K, V]]

Inherited from AnyRef

Inherited from Any

Ungrouped