monomial factor

monomial factor

[mə′nō·mē·əl ‚fak·tər]
(mathematics)
A single factor that can be divided out of every term in a given expression.
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If 1 comes in the (1,1) cell, then all the elements in the first row to the right and all the elements in the first column above 1 are bigger than 1, so the monomial factor will be [t.sub.n-s].
Notice that in the grouping table, the lost of one o under n in the second line means that all the monomial factors from the first line have 1 more power of t than the ones from the second line, hence we get (1 + t) factor after we sum them up all.
Combinatorial formula for the hilbert series of bigraded [s.sup.n]-modules
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