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--- status: DRAFT
--- author(s): MES
--- notes:
undocumented {
(coefficient, RingElement, RingElement),
(coefficient, MonoidElement, RingElement)
}
document {
Key => coefficient,
Headline => "coefficient of a monomial",
Usage => "coefficient(m,f)",
Inputs => {
"m" => RingElement => "a monomial",
"f" => RingElement => {"in the same ring ", TT "R", " as ", TT "m"}
},
Outputs => {
RingElement => {"the coefficient of the monomial ", TT "m", " in ", TT "f",
" as an element of the coefficient ring of ", TT "R"}
},
EXAMPLE {
"R = GF(25,Variable=>a)[x,y,z];",
"f = ((a+1)*x+a*y+a^2*z)^2",
"coefficient(y^2,f)"
},
"The returned value is an element of the coefficient ring, even in the case when that
ring is another polynomial ring.",
EXAMPLE {
"S = R[r,s,t];",
"coefficient(r,a*x*(r+a*s))"
},
SeeAlso => {coefficients, monomials, coefficientRing}
}
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