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D.15.3.1 BelongSemig
Procedure from library cimonom.lib (see cimonom_lib).
- Usage:
- BelongSemig (n,v[,sup]); n bigint, v and sup intvec
- Return:
- In the default form, it returns 1 if n is in the semigroup generated by
the elements of v or 0 otherwise. If the argument sup is added and in case
n belongs to the semigroup generated by the elements of v, it returns
a monomial in the variables {x(i) | i in sup} of degree n if we set
deg(x(sup[j])) = v[j].
- Assume:
- v and sup positive integer vectors of same size, sup has no
repeated entries, x(i) has to be an indeterminate in the current ring for
all i in sup.
Example:
| | LIB "cimonom.lib";
ring r=0,x(1..5),dp;
int a = 125;
intvec v = 13,17,51;
intvec sup = 2,4,1;
BelongSemig(a,v,sup);
==> x(2)^7*x(4)^2
BelongSemig(a,v);
==> 1
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