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D.8.7.4 getRelationsRadical
Procedure from library recover.lib (see recover_lib).
- Usage:
- getRelationsRadical(P,D,C); list P, int D, bigint C
- Return:
- list K: a list of ideals; the ideals contain homogeneous polynomial relations of
degree <=D between the components of the points in P
- Note:
- This procedure uses random linear combination of the Veronese embeddings of all
points in P to find homogeneous polynomial relations.
Example:
| | LIB "recover.lib";
ring r=(complex,50),(x,y,z),dp;
list p1=1,-1,0.5;
list p2=1,0,-1;
list P=list(p1)+list(p2);
getRelationsRadical(P,2,10**5);
==> [1]:
==> _[1]=-2*x2+2*y2+yz+2*z2
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See also:
getRelations.
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