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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | )abbrev domain DMP DistributedMultivariatePolynomial
++ Author: Barry Trager
++ Description:
++ References:
++ Coxx07 Ideals, varieties and algorithms
++ This type supports distributed multivariate polynomials
++ whose variables are from a user specified list of symbols.
++ The coefficient ring may be non commutative,
++ but the variables are assumed to commute.
++ The term ordering is lexicographic specified by the variable
++ list parameter with the most significant variable first in the list.
DistributedMultivariatePolynomial(vl,R) : SIG == CODE where
vl : List Symbol
R : Ring
E ==> DirectProduct(#vl,NonNegativeInteger)
OV ==> OrderedVariableList(vl)
SIG ==> PolynomialCategory(R,E,OV) with
reorder : (%,List Integer) -> %
++ reorder(p, perm) applies the permutation perm to the variables
++ in a polynomial and returns the new correctly ordered polynomial
CODE ==> GeneralDistributedMultivariatePolynomial(vl,R,E)
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