# 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
Ordering
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2. By inheritance
Inherited
1. CoordinateSpace
2. InnerProductSpace
3. NormedVectorSpace
4. VectorSpace
5. AnyRef
6. Any
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Visibility
1. Public
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### Abstract Value Members

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

Definition Classes
VectorSpace

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

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

Definition Classes
VectorSpace

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

Definition Classes
VectorSpace

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

Definition Classes
InnerProductSpace

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

### 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
NormedVectorSpaceVectorSpace
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
InnerProductSpaceNormedVectorSpace
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( ... )