Changeset 417a505 in git for Singular/LIB/arnoldclassify.lib
- Timestamp:
- May 15, 2020, 9:59:18 PM (4 years ago)
- Branches:
- (u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
- Children:
- 039e8e7774347ebff8c13656ee7cb704822a872b
- Parents:
- 20f2239fc1edd340ef740851d0ead1e994d34535
- File:
-
- 1 edited
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Singular/LIB/arnoldclassify.lib
r20f2239 r417a505 218 218 //* Z or Y with zero 3-jet and non-zero 4-jet. 219 219 //* The idea is to transform the Newton Polygon of fPoly until we can decide 220 //* w ether f is of type Z or Y. For further information abouth the algorithm220 //* whether f is of type Z or Y. For further information abouth the algorithm 221 221 //* refer to [Hem17] 222 222 … … 346 346 //* Input poly f with zero 3-jet and non-zero 4-jet with var(1) contained 347 347 //* in 4-jet. Computes the weights for all monomials lying in the Newton 348 //* Diagram munder the line defined by x^4 and x^3y^k and returns the348 //* Diagram under the line defined by x^4 and x^3y^k and returns the 349 349 //* smallest one. In case there is no other monomial than x^4, return 350 350 //* weights (k,1) … … 496 496 { 497 497 //* Assume f is a polynomial with no polynomials lying in the Newton 498 //* Diagram mabove the line defined by x^2y^2 and x^2y^(bound)498 //* Diagram above the line defined by x^2y^2 and x^2y^(bound) 499 499 //* Computes the weight of all monomials lying under the line and 500 500 //* returns the smallest one … … 904 904 int n = nvars(basering); 905 905 906 //* Set Determinacy (Needed for Splitting Lemma) w ether given in # or compute906 //* Set Determinacy (Needed for Splitting Lemma) whether given in # or compute 907 907 int Determinacy; 908 908 if (size(#) == 0 ){ … … 989 989 990 990 //* Check if 991 if( Q == 0 && i == n ){ 992 ERROR("Someting went wrong"); 993 } 991 if( Q == 0 && i == n ){ ERROR("Something went wrong"); } 994 992 995 993 //* Find coordinate change Phi2 such that Q(0) != 0 … … 1375 1373 If a,b,c,d are not given, valid values are chosen automatically. 1376 1374 RETURN: string NF is the normal form of the series S if no parameters given, 1377 or poly NF is the normal form of the class S with param aters k,r,s.1375 or poly NF is the normal form of the class S with parameters k,r,s. 1378 1376 EXAMPLE: example arnoldNormalForm; shows an example" 1379 1377 {
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