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--- status: TODO
--- author(s):
--- notes:
document {
Key => {monomials,(monomials,RingElement),(monomials,Matrix)},
Headline => "matrix of monomials in a ring element or matrix",
Usage => "monomials f",
Inputs => {
"f" => {"either a ", TO "Matrix", " or a ", TO "RingElement"}
},
Outputs => {
Matrix => {"a one row matrix in the same ring with all of the monomials that
appear in ", TT "f"}
},
"Each monomial only appears once, and the monomials are sorted in what order?",
EXAMPLE {
"R = ZZ[a..d,x,y];",
"m = matrix{{a*x^2+b*x*y+c*y^2, a*x^3+b*x^2*y+c*x*y^2+d*y^3+a*x^2}}",
"monomials m"
},
"If the monomials in only some of the variables are desired, use the optional
argument ", TO [monomials,Variables], ".",
EXAMPLE {
"monomials(m, Variables=>{x,y})"
},
SeeAlso => {coefficients},
Subnodes => { TO [monomials, Variables] },
}
document {
Key => [monomials, Variables],
Headline => "specify variables",
Usage => "monomials(m,Variables=>x)",
Inputs => {
"x" => {"either a list or sequence of ring variables,
a list or sequence of integers denoting indices of
ring variables, or a single ring element or integer index.
The default value is: all of the variables"}
},
Consequences => {
{"Each variable not in the set of variables x is considered a coefficient"}
},
SeeAlso => {coefficients}
}
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