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Vector -- the class of all elements of free modules which are handled by the engine
Description
If
R
is a ring handled by the engine, and
M
is a free module over
R
, then M is a subclass of Vector.
See also
engine
Module
-- the class of all modules
Functions and methods returning a vector :
Matrix * Vector, see
*
-- a binary operator, usually used for multiplication
Module _ ZZ, see
generators of ideals and modules
homogenize(Vector,RingElement), see
homogenize
-- homogenize with respect to a variable
homogenize(Vector,RingElement,List), see
homogenize
-- homogenize with respect to a variable
Matrix _ ZZ
-- missing documentation
RingMap Vector, see
RingMap RingElement
-- apply a ring map
substitute(Vector,List), see
substitute
-- substituting values for variables
substitute(Vector,Matrix), see
substitute
-- substituting values for variables
substitute(Vector,Ring), see
substitute
-- substituting values for variables
ZZ _ Module
-- missing documentation
Methods that use a vector :
Ideal * Vector, see
*
-- a binary operator, usually used for multiplication
Ring * Vector, see
*
-- a binary operator, usually used for multiplication
Vector + Vector, see
+
-- a unary or binary operator, usually used for addition
contract(Matrix,Vector), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(Number,Vector), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(RingElement,Vector), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(Vector,Matrix), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(Vector,Number), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(Vector,RingElement), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
contract(Vector,Vector), see
contract(Matrix,Matrix)
-- contract a matrix by a matrix
degree(Vector), see
degree(RingElement)
diff(Matrix,Vector), see
diff(Matrix,Matrix)
-- differentiate a matrix by a matrix
diff(RingElement,Vector), see
diff(Matrix,Matrix)
-- differentiate a matrix by a matrix
diff(Vector,Matrix), see
diff(Matrix,Matrix)
-- differentiate a matrix by a matrix
diff(Vector,RingElement), see
diff(Matrix,Matrix)
-- differentiate a matrix by a matrix
diff(Vector,Vector), see
diff(Matrix,Matrix)
-- differentiate a matrix by a matrix
entries(Vector)
-- lists the entries of a vector
isHomogeneous(Vector), see
isHomogeneous
-- whether something is homogeneous (graded)
leadComponent(Vector), see
leadComponent
-- the leading component of a vector or matrix
leadTerm(Vector), see
leadTerm(Matrix)
-- get the greatest term of each column
Module / Vector, see
Module / Module
-- quotient module
module(Vector)
-- the module of a vector
new Matrix from Vector
-- missing documentation
new Vector from Matrix
-- missing documentation
Number * Vector
-- missing documentation
ring(Vector), see
ring
-- Get the associated ring of an object
substitute(Vector,Option), see
substitute
-- substituting values for variables
Vector ** Vector
-- missing documentation
Vector - Vector
-- missing documentation
Vector == Vector
-- missing documentation
For the programmer
The object
Vector
is
a
type
, with ancestor classes
BasicList
<
Thing
.