Ignore:
Timestamp:
May 15, 2020, 9:59:18 PM (4 years ago)
Author:
Hans Schoenemann <hannes@…>
Branches:
(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
Children:
039e8e7774347ebff8c13656ee7cb704822a872b
Parents:
20f2239fc1edd340ef740851d0ead1e994d34535
Message:
spelling p8 and end
File:
1 edited

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  • Singular/LIB/arnoldclassify.lib

    r20f2239 r417a505  
    218218//* Z or Y with zero 3-jet and non-zero 4-jet.
    219219//* The idea is to transform the Newton Polygon of fPoly until we can decide
    220 //* wether f is of type Z or Y. For further information abouth the algorithm
     220//* whether f is of type Z or Y. For further information abouth the algorithm
    221221//* refer to [Hem17]
    222222
     
    346346//* Input poly f with zero 3-jet and non-zero 4-jet with var(1) contained
    347347//* in 4-jet. Computes the weights for all monomials lying in the Newton
    348 //* Diagramm under the line defined by x^4 and x^3y^k and returns the
     348//* Diagram under the line defined by x^4 and x^3y^k and returns the
    349349//* smallest one. In case there is no other monomial than x^4, return
    350350//* weights (k,1)
     
    496496{
    497497//* Assume f is a polynomial with no polynomials lying in the Newton
    498 //* Diagramm above 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)
    499499//* Computes the weight of all monomials lying under the line and
    500500//* returns the smallest one
     
    904904 int n = nvars(basering);
    905905
    906 //* Set Determinacy (Needed for Splitting Lemma) wether given in # or compute
     906//* Set Determinacy (Needed for Splitting Lemma) whether given in # or compute
    907907 int Determinacy;
    908908 if (size(#) == 0 ){
     
    989989
    990990   //* Check if
    991    if( Q == 0 && i == n ){
    992     ERROR("Someting went wrong");
    993    }
     991   if( Q == 0 && i == n ){ ERROR("Something went wrong"); }
    994992
    995993   //* Find coordinate change Phi2 such that Q(0) != 0
     
    13751373         If a,b,c,d are not given, valid values are chosen automatically.
    13761374RETURN:  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 paramaters k,r,s.
     1375         or poly NF is the normal form of the class S with parameters k,r,s.
    13781376EXAMPLE: example arnoldNormalForm; shows an example"
    13791377{
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