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Multiplicity |
Syntax |
Multiplicity(R:RING or TAGGED("Quotient")):INT |
Summary |
the multiplicity (degree) of a ring or quotient object |
Description |
This function computes the multiplicity (or degree) of the ring R, i.e., the leading coefficient of the Hilbert polynomial multiplied by the factorial of the degree of the Hilbert polynomial. The weights of the indeterminates of the current ring must all be 1. |
Example |
Use R ::= Q[t,x,y,z]; Multiplicity(R/Ideal(x,y,z)^5); 35 ------------------------------- |
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