# ThreeDimensionalMatrix RΒΆ

This domain represents three dimensional matrices over a general object type

=: (%, %) -> Boolean

from BasicType

~=: (%, %) -> Boolean

from BasicType

coerce: % -> OutputForm
coerce: % -> PrimitiveArray PrimitiveArray PrimitiveArray R

coerce(x) moves from the domain to the representation type

coerce: PrimitiveArray PrimitiveArray PrimitiveArray R -> %

coerce(p) moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray R) to the domain

construct: List List List R -> %

construct(lll) creates a 3-D matrix from a List List List R lll

copy: % -> %

from Aggregate

elt: (%, NonNegativeInteger, NonNegativeInteger, NonNegativeInteger) -> R

elt(x, i, j, k) extract an element from the matrix x

empty?: % -> Boolean

from Aggregate

empty: () -> %

from Aggregate

eq?: (%, %) -> Boolean

from Aggregate

eval: (%, Equation R) -> % if R has Evalable R

from Evalable R

eval: (%, List Equation R) -> % if R has Evalable R

from Evalable R

eval: (%, List R, List R) -> % if R has Evalable R

from InnerEvalable(R, R)

eval: (%, R, R) -> % if R has Evalable R

from InnerEvalable(R, R)

hash: % -> SingleInteger

from SetCategory

hashUpdate!: (HashState, %) -> HashState

from SetCategory

identityMatrix: NonNegativeInteger -> % if R has Ring

identityMatrix(n) create an identity matrix we note that this must be square

latex: % -> String

from SetCategory

less?: (%, NonNegativeInteger) -> Boolean

from Aggregate

map: (R -> R, %) -> %

from HomogeneousAggregate R

matrixConcat3D: (Symbol, %, %) -> %

matrixConcat3D(s, x, y) concatenates two 3-D matrices along a specified axis

matrixDimensions: % -> Vector NonNegativeInteger

matrixDimensions(x) returns the dimensions of a matrix

max: % -> R if % has finiteAggregate and R has OrderedSet

from HomogeneousAggregate R

min: % -> R if % has finiteAggregate and R has OrderedSet

from HomogeneousAggregate R

more?: (%, NonNegativeInteger) -> Boolean

from Aggregate

plus: (%, %) -> % if R has Ring

plus(x, y) adds two matrices, term by term we note that they must be the same size

sample: %

from Aggregate

setelt!: (%, NonNegativeInteger, NonNegativeInteger, NonNegativeInteger, R) -> R

setelt!(x, i, j, k, s) (or x.i.j.k := s) sets a specific element of the array to some value of type R

size?: (%, NonNegativeInteger) -> Boolean

from Aggregate

zeroMatrix: (NonNegativeInteger, NonNegativeInteger, NonNegativeInteger) -> % if R has Ring

zeroMatrix(i, j, k) create a matrix with all zero terms

Aggregate

BasicType

Evalable R if R has Evalable R

InnerEvalable(R, R) if R has Evalable R

SetCategory