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D.6.9.14 is_NND
Procedure from library hnoether.lib (see hnoether_lib).
- Usage:
- is_NND(f[,mu,NP]); f poly, mu int, NP list of intvecs
- Assume:
- f is convenient, that is, f(x,0) != 0 != f(0,y);
mu (optional) is Milnor number of f.
NP (optional) is output of newtonpoly(f).
- Return:
- int: 1 if f is Newton non-degenerate, 0 otherwise.
Example:
| | LIB "hnoether.lib";
ring r=0,(x,y),ls;
poly f=x5+y3;
is_NND(f);
==> 1
poly g=(x-y)^5+3xy5+y6-y7;
is_NND(g);
==> 0
// if already computed, one should give the Minor number and Newton polygon
// as second and third input:
int mu=milnor(g);
list NP=newtonpoly(g);
is_NND(g,mu,NP);
==> 0
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See also:
newtonpoly.
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