Changeset e9ffa0 in git for Singular/LIB/realclassify.lib


Ignore:
Timestamp:
Aug 3, 2012, 1:28:10 PM (11 years ago)
Author:
Hans Schoenemann <hannes@…>
Branches:
(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', '0d7ffeded36f5660db047d76670b184bc97cecd3')
Children:
69c542f9869e7a3e82b1cc481139d89110b7afd3
Parents:
b0732eb4254fbe76540d72c337f3d7f985adf948051432dd83870fbe8b97700f01135436c5d6f6fd
Message:
Merge pull request #164 from mmklee/factory_trfix_sw

Factory trfix sw
File:
1 edited

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  • Singular/LIB/realclassify.lib

    r051432 re9ffa0  
    99OVERVIEW:
    1010   A library for classifying isolated hypersurface singularities over the reals
    11    w.r.t. right
    12    equivalence, based on the determinator of singularities by V.I. Arnold.
    13    This library is based on classify.lib by Kai Krueger, but handles the real
    14    case, while classify.lib does the complex classification.
     11   w.r.t. right equivalence, based on the determinator of singularities by
     12   V.I. Arnold. This library is based on classify.lib by Kai Krueger, but
     13   handles the real case, while classify.lib does the complex classification.
     14
     15REFERENCES:
     16Arnold, Varchenko, Gusein-Zade: Singularities of Differentiable Maps.
     17Vol. 1: The classification of critical points caustics and wave fronts.
     18Birkh\"auser, Boston 1985
     19
     20Greuel, Lossen, Shustin: Introduction to singularities and deformations.
     21Springer, Berlin 2007
    1522
    1623PROCEDURES:
     
    3138RETURN:   A list containing (in this order)
    3239          @* - the type of the singularity as a string,
    33           @* - the normal form as well as
     40          @* - the normal form,
    3441          @* - the corank, the Milnor number, the inertia index and
    3542               a bound for the determinacy as integers.
     
    778785  "EXAMPLE:";
    779786  echo = 2;
    780   LIB "realclassify.lib";
    781787  ring r = 0, (x,y,z), ds;
    782788  poly f = (x2+3y-2z)^2+xyz-(x-y3+x2z3)^3;
     
    10061012  "EXAMPLE:";
    10071013  echo = 2;
    1008   LIB "realclassify.lib";
    10091014  ring r = 0, (x,y,z), ds;
    10101015  poly f = (x2+3y-2z)^2+xyz-(x-y3+x2z3)^3;
     
    10531058  "EXAMPLE:";
    10541059  echo = 2;
    1055   LIB "realclassify.lib";
    10561060  ring r = 0, (x,y), ds;
    10571061  poly f = x3+y4;
     
    11451149  "EXAMPLE:";
    11461150  echo = 2;
    1147   LIB "realclassify.lib";
    11481151  ring r = 0, (x,y), ds;
    11491152  poly f = x3+xy3;
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