# Tensor

### Related Doc: package cas

#### trait Tensor extends AnyRef

A tensor is an algebraic object that describes a (multilinear) relationship between sets of algebraic objects related to a vector space. Objects that tensors may map between include vectors (which are often, but not always, understood as arrows with length that point in a direction) and scalars (which are often familiar numbers such as the real numbers), and, recursively, even other tensors. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system.

The shape of tensor (the number of dimensions and the size of each dimension) might be only partially known.

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### Abstract Value Members

1. #### abstract def rank: Option[Int]

The rank of tensor, i.e.

The rank of tensor, i.e. the number of dimensions.

2. #### abstract def shape: Option[Array[IntScalar]]

The shape of tensor, i.e the size of each dimension.

### Concrete Value Members

1. #### final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
2. #### final def ##(): Int

Definition Classes
AnyRef → Any
3. #### def +(other: String): String

Implicit information
This member is added by an implicit conversion from Tensor to any2stringadd[Tensor] performed by method any2stringadd in scala.Predef.
Definition Classes
4. #### def ->[B](y: B): (Tensor, B)

Implicit information
This member is added by an implicit conversion from Tensor to ArrowAssoc[Tensor] performed by method ArrowAssoc in scala.Predef.
Definition Classes
ArrowAssoc
Annotations
@inline()
5. #### final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → 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 ensuring(cond: (Tensor) ⇒ Boolean, msg: ⇒ Any): Tensor

Implicit information
This member is added by an implicit conversion from Tensor to Ensuring[Tensor] performed by method Ensuring in scala.Predef.
Definition Classes
Ensuring
9. #### def ensuring(cond: (Tensor) ⇒ Boolean): Tensor

Implicit information
This member is added by an implicit conversion from Tensor to Ensuring[Tensor] performed by method Ensuring in scala.Predef.
Definition Classes
Ensuring
10. #### def ensuring(cond: Boolean, msg: ⇒ Any): Tensor

Implicit information
This member is added by an implicit conversion from Tensor to Ensuring[Tensor] performed by method Ensuring in scala.Predef.
Definition Classes
Ensuring
11. #### def ensuring(cond: Boolean): Tensor

Implicit information
This member is added by an implicit conversion from Tensor to Ensuring[Tensor] performed by method Ensuring in scala.Predef.
Definition Classes
Ensuring
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( classOf[java.lang.Throwable] )
15. #### def formatted(fmtstr: String): String

Implicit information
This member is added by an implicit conversion from Tensor to StringFormat[Tensor] performed by method StringFormat in scala.Predef.
Definition Classes
StringFormat
Annotations
@inline()
16. #### final def getClass(): Class[_]

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

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

Definition Classes
Any
19. #### final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
20. #### final def notify(): Unit

Definition Classes
AnyRef
21. #### final def notifyAll(): Unit

Definition Classes
AnyRef
22. #### final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
23. #### def toString(): String

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

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )
27. #### def →[B](y: B): (Tensor, B)

Implicit information
This member is added by an implicit conversion from Tensor to ArrowAssoc[Tensor] performed by method ArrowAssoc in scala.Predef.
Definition Classes
ArrowAssoc