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D.15.1.29 deltaNNB
Procedure from library arnold.lib (see arnold_lib).
- Usage:
- deltaNNB(f); f poly or Poly or NormalForm
- Return:
- a List with entries d,n, where d is the Delta invariant and n is the number of branches of f (or f.value or f.phi.sourcegerm.value), if f (or f.value or f.phi.sourcegerm.value)
is equivalent to a germ with a nondegenerate Newton Boundary, or an ERROR message otherwise
Example:
| LIB "arnold.lib";
ring R=0,(x,y),ds;
poly f = x^9+x^2*y^4+y^2*x^4+y^8+x^3*y^5+y^2*x^5;
Poly F = makePoly(f);
NormalForm N = determineNormalForm(F);
deltaNNB(f);
==> [1]:
==> 17
==> [2]:
==> 5
deltaNNB(F);
==> [1]:
==> 17
==> [2]:
==> 5
deltaNNB(N);
==> [1]:
==> 17
==> [2]:
==> 5
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