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D.2.4.11 mindeg1
Procedure from library poly.lib (see poly_lib).
- Usage:
mindeg1(id[,v]); id=poly/ideal/vector/module/matrix, v=intvec
- Return:
integer, minimal [weighted] degree of monomials of id independent of
ring ordering, mindeg1 of i-th variable is v[i] (default v=1..1).
- Note:
This proc returns one integer while mindeg returns, in general,
a matrix of integers. For one polynomial and if no intvec v is given
mindeg is faster.
Example:
LIB "poly.lib";
ring r = 0,(x,y,z),ls;
poly f = x5+y2+z3;
ord(f); // ord returns weighted order of leading term!
→ 3
intvec v = 1,-3,2;
mindeg1(f,v); // computes minimal weighted degree
→ -6
matrix m[2][2]=x10,1,0,f^2;
mindeg1(m,1..3); // computes absolute minimum of weighted degrees
→ -1
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