Tensor

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.

Linear Supertypes

AnyRef, Any

Known Subclasses

Abs, Add, AddMatrix, AddVector, ArcCos, ArcCot, ArcSin, ArcTan, Ceil, Const, ConstMatrix, ConstVector, Cos, Cot, DiagonalMatrix, Div, Exp, Floor, GradientVector, IdentityMatrix, InnerProduct, Int2Scalar, IntAdd, IntConst, IntDiv, IntMul, IntNeg, IntPower, IntScalar, IntSub, IntVal, IntVar, Log, Matrix, MatrixInverse, MatrixProduct, MatrixTranspose, MatrixVar, MatrixVectorProduct, Mod, Mul, Neg, NegMatrix, NegVector, OneMatrix, OneVector, OuterProduct, Power, Round, RowMatrix, Scalar, ScalarMatrixProduct, ScalarVectorProduct, Sin, Sub, Tan, TangentMatrix, TangentVector, Val, Var, Vars, Vector, VectorVal, VectorVar, ZeroMatrix, ZeroVector

Abstract Value Members

abstract def rank: Option[Int]

The rank of tensor, i.e.
The rank of tensor, i.e. the number of dimensions.
abstract def shape: Option[Array[IntScalar]]

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

Concrete Value Members

final def !=(arg0: Any): Boolean

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

Definition Classes
AnyRef → Any
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
any2stringadd
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()
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def asInstanceOf[T0]: T0

Definition Classes
Any
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
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
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
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
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
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
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()
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
def hashCode(): Int

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

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

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

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

Definition Classes
AnyRef
def toString(): String

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

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

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

Definition Classes
AnyRef
Annotations
@throws( ... )
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

Related Doc: package cas

trait Tensor extends AnyRef

Abstract Value Members

abstract def rank: Option[Int]

abstract def shape: Option[Array[IntScalar]]

Concrete Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

def +(other: String): String

def ->[B](y: B): (Tensor, B)

final def ==(arg0: Any): Boolean

final def asInstanceOf[T0]: T0

def clone(): AnyRef

def ensuring(cond: (Tensor) ⇒ Boolean, msg: ⇒ Any): Tensor

def ensuring(cond: (Tensor) ⇒ Boolean): Tensor

def ensuring(cond: Boolean, msg: ⇒ Any): Tensor

def ensuring(cond: Boolean): Tensor

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

def formatted(fmtstr: String): String

final def getClass(): Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

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

def toString(): String

final def wait(): Unit

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

final def wait(arg0: Long): Unit

def →[B](y: B): (Tensor, B)

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from Tensor to any2stringadd[Tensor]

Inherited by implicit conversion StringFormat from Tensor to StringFormat[Tensor]

Inherited by implicit conversion Ensuring from Tensor to Ensuring[Tensor]

Inherited by implicit conversion ArrowAssoc from Tensor to ArrowAssoc[Tensor]

Ungrouped