trait InnerProductSpace[V, F] extends VectorSpace[V, F]

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Inherited
  1. InnerProductSpace
  2. VectorSpace
  3. Module
  4. AdditiveAbGroup
  5. AdditiveCMonoid
  6. AdditiveCSemigroup
  7. AdditiveGroup
  8. AdditiveMonoid
  9. AdditiveSemigroup
  10. Any
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Visibility
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Abstract Value Members

  1. abstract def dot(v: V, w: V): F
  2. abstract def getClass(): Class[_]
    Definition Classes
    Any
  3. abstract def negate(x: V): V
    Definition Classes
    AdditiveGroup
  4. abstract def plus(x: V, y: V): V
    Definition Classes
    AdditiveSemigroup
  5. implicit abstract def scalar: Field[F]
    Definition Classes
    VectorSpace → Module
  6. abstract def timesl(r: F, v: V): V
    Definition Classes
    Module
  7. abstract def zero: V
    Definition Classes
    AdditiveMonoid

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##(): Int
    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    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 divr(v: V, f: F): V
    Definition Classes
    VectorSpace
  7. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  8. def hashCode(): Int
    Definition Classes
    Any
  9. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  10. def isZero(a: V)(implicit ev: Eq[V]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  11. def minus(x: V, y: V): V
    Definition Classes
    AdditiveGroup
  12. def normed(implicit ev: NRoot[F]): NormedVectorSpace[V, F]
  13. def sum(as: TraversableOnce[V]): 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
  14. def sumOption(as: TraversableOnce[V]): Option[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
  15. def sumn(a: V, n: Int): V

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  16. def sumnAboveOne(a: V, n: Int): V
    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  17. def timesr(v: V, r: F): V
    Definition Classes
    Module
  18. def toString(): String
    Definition Classes
    Any

Inherited from VectorSpace[V, F]

Inherited from Module[V, F]

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 Any

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