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7.10.3.8 lpCalcSubstDegBound
Procedure from library fpaprops.lib (see fpaprops_lib).
- Usage:
- lpCalcSubstDegBound(I,s1,s2); I ideal of polynomials, s1 ideal of variables to replace, s2 ideal of polynomials to replace with
- Return:
- int, the min degbound required to perform all of the substitutions
- Assume:
- - basering is a Letterplace ring
- Note:
- convenience method
Example:
| | LIB "fpaprops.lib";
ring r = 0,(x,y,z),dp;
def R = freeAlgebra(r, 4);
setring R;
ideal I = 3*x*x+y*x, x*y*x - z;
ideal s1 = x, y; // z --> z
ideal s2 = y*z*z, x; // i.e. x --> yzz and y --> x
// the substitution probably needs a higher degbound
lpCalcSubstDegBound(I,s1,s2);
==> 10
lpCalcSubstDegBound(I[1],s1,s2);
==> 9
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