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D.15.1.22 nondegeneratePart
Procedure from library arnold.lib (see arnold_lib).
- Usage:
- nondegeneratePart(N); N NormalForm as given by @ref(determineNormalForm)
- Return:
- the nondegenerate part, returned as type Poly, of the singularity defined by N.phi.sourcegerm.value
Example:
| | LIB "arnold.lib";
ring R = 0,(x,y,z),ds;
poly g = (x^2+y^2)^2+5*x^(10)+y^(11)+z^2;
poly phix = x+y^2+x^2+x*y+x^2*y+x*y^3;
poly phiy = y+y^2+2*x^2+x*y+y*x^2+y^2*x+x*y^4;
poly phiz = z+2x+x^2+y^4*x;
map phi = R,phix,phiy,phiz;
g = phi(g);
Poly F = makePoly(g);
NormalForm N = determineNormalForm(F);
nondegeneratePart(N);
==> z^2
==>
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