Changeset c10f46 in git for Singular/LIB/realclassify.lib


Ignore:
Timestamp:
Aug 3, 2012, 1:06:22 PM (11 years ago)
Author:
Hans Schoenemann <hannes@…>
Branches:
(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', '0d7ffeded36f5660db047d76670b184bc97cecd3')
Children:
b0732eb4254fbe76540d72c337f3d7f985adf948
Parents:
b8610796eaca5ba7db8dc75f8bc88d698e077b365abb0e7fdca82a2bad9778e410148c74d7b49a0b
Message:
Merge pull request #162 from steenpass/libs

changes in LIBs from master
File:
1 edited

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  • Singular/LIB/realclassify.lib

    rb86107 rc10f46  
    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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