Changeset fd5013 in git for Singular/LIB/hnoether.lib


Ignore:
Timestamp:
Aug 2, 2006, 5:40:53 PM (18 years ago)
Author:
Hans Schönemann <hannes@…>
Branches:
(u'fieker-DuVal', '117eb8c30fc9e991c4decca4832b1d19036c4c65')(u'spielwiese', 'fc741b6502fd8a97288eaa3eba6e5220f3c3df87')
Children:
f6f1dbfc1e8487ccbf1ca0d7a3d2600069315a9f
Parents:
d1932987874a4523d2a42efe3046b953ed52af76
Message:
*hannes/markwig: typos, format, doc


git-svn-id: file:///usr/local/Singular/svn/trunk@9385 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/hnoether.lib

    rd193298 rfd5013  
    1 version="$Id: hnoether.lib,v 1.52 2006-07-18 15:48:19 Singular Exp $";
     1version="$Id: hnoether.lib,v 1.53 2006-08-02 15:40:51 Singular Exp $";
    22category="Singularities";
    33info="
     
    16281628   contains the multiplicities of the branches at their infinitely near point
    16291629   of 0 in its (i-1) order neighbourhood (i.e., i=1: multiplicity of the
    1630    branches themselves, i=2: multiplicity of their 1st quadratic transformed,
     1630   branches themselves, i=2: multiplicity of their 1st quadratic transform,
    16311631   etc., @*
    16321632   Hence, @code{multsequence(INPUT)[1][*,j]} is the multiplicity sequence
     
    17881788     with:
    17891789       @code{a_1 , ... , a_n} the sequence of multiplicities of the 1st branch,
    1790        @code{[...]} the multiplicities of the j-th transformed of all branches,
     1790       @code{[...]} the multiplicities of the j-th transform of all branches,
    17911791       @code{(...)} indicating branches meeting in an infinitely near point.
    17921792@end format
     
    22422242         mu (optional) is Milnor number of f.@*
    22432243         NP (optional) is output of @code{newtonpoly(f)}.
    2244 RETURN:  int: 1 if f in Newton non-degenerate, 0 otherwise.
     2244RETURN:  int: 1 if f is Newton non-degenerate, 0 otherwise.
    22452245SEE ALSO: newtonpoly
    22462246KEYWORDS: Newton non-degenerate; Newton polygon
     
    42364236RETURN:  int, the delta invariant of the singularity at 0, that is, the vector
    42374237         space dimension of R~/R, (R~ the normalization of the local ring of
    4238          the singularity.
     4238         the singularity).
    42394239NOTE:    In case the Hamburger-Noether expansion of the curve f is needed
    42404240         for other purposes as well it is better to calculate this first
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