breeze.math

CoordinateSpace

trait CoordinateSpace[V, S] extends InnerProductSpace[V, S]

A coordinate space is like a breeze.math.InnerProductSpace, but it supports the full suite of "Tensor-y" operations. The intuition is that anything that can work on a Tensor/Vector will work here.

For example V + S doesn't work in a vector space, but it does in a coordinate space.

V
S

Linear Supertypes
InnerProductSpace[V, S], NormedVectorSpace[V, S], VectorSpace[V, S], AnyRef, Any
Known Subclasses
MutableCoordinateSpace, TensorSpace
Ordering
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Inherited
  1. CoordinateSpace
  2. InnerProductSpace
  3. NormedVectorSpace
  4. VectorSpace
  5. AnyRef
  6. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. implicit abstract def addVS: linalg.operators.OpAdd.Impl2[V, S, V]

  2. implicit abstract def addVV: linalg.operators.OpAdd.Impl2[V, V, V]

    Definition Classes
    VectorSpace

  3. implicit abstract def divVS: linalg.operators.OpDiv.Impl2[V, S, V]

    Definition Classes
    VectorSpace

  4. implicit abstract def divVV: linalg.operators.OpDiv.Impl2[V, V, V]

  5. implicit abstract def dotVV: linalg.operators.OpMulInner.Impl2[V, V, S]

    Definition Classes
    InnerProductSpace

  6. abstract def field: Field[S]

    Definition Classes
    VectorSpace

  7. implicit abstract def isNumericOps(v: V): NumericOps[V]

    Definition Classes
    VectorSpace

  8. implicit abstract def mapValues: CanMapValues[V, S, S, V]

  9. implicit abstract def mulVS: linalg.operators.OpMulScalar.Impl2[V, S, V]

    Definition Classes
    VectorSpace

  10. implicit abstract def mulVV: linalg.operators.OpMulScalar.Impl2[V, V, V]

  11. implicit abstract def neg: linalg.operators.OpNeg.Impl[V, V]

    Definition Classes
    VectorSpace

  12. implicit abstract def normImplDouble: linalg.norm.Impl2[V, Double, Double]

  13. implicit abstract def scalarNorm: linalg.norm.Impl[S, Double]

    Definition Classes
    InnerProductSpace

  14. implicit abstract def subVS: linalg.operators.OpSub.Impl2[V, S, V]

  15. implicit abstract def subVV: linalg.operators.OpSub.Impl2[V, V, V]

    Definition Classes
    VectorSpace

  16. implicit abstract def zeros: CanCreateZerosLike[V, V]

    Definition Classes
    VectorSpace

  17. implicit abstract def zipMapValues: CanZipMapValues[V, S, S, 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. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  7. def clone(): AnyRef

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

  8. def close(a: V, b: V, tolerance: Double): Boolean

    Definition Classes
    NormedVectorSpace → VectorSpace

  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. implicit def mulVS_M: linalg.operators.OpMulMatrix.Impl2[V, S, V]

    Definition Classes
    VectorSpace

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

    Definition Classes
    AnyRef

  17. implicit def normImpl: linalg.norm.Impl[V, Double]

    Definition Classes
    InnerProductSpace → NormedVectorSpace

  18. final def notify(): Unit

    Definition Classes
    AnyRef

  19. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

    Definition Classes
    AnyRef

  21. def toString(): String

    Definition Classes
    AnyRef → Any

  22. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from InnerProductSpace[V, S]

Inherited from NormedVectorSpace[V, S]

Inherited from VectorSpace[V, S]

Inherited from AnyRef

Inherited from Any

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