Changeset f34c37c in git


Ignore:
Timestamp:
Jul 6, 1999, 1:33:17 PM (24 years ago)
Author:
Olaf Bachmann <obachman@…>
Branches:
(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'a800fe4b3e9d37a38c5a10cc0ae9dfa0c15a4ee6')
Children:
acfbb5a85f3eb92ffdb442a04348bd0186e1785b
Parents:
48efa51665f947f4dace1a1adda84da2fe6107ff
Message:
* cosmetic changes to enable parsing of help


git-svn-id: file:///usr/local/Singular/svn/trunk@3233 2c84dea3-7e68-4137-9b89-c4e89433aadc
Location:
Singular/LIB
Files:
30 edited

Legend:

Unmodified
Added
Removed

  • Singular/LIB/classify.lib

    r48efa51 rf34c37c  
    1 // $Id: classify.lib,v 1.32 1999-06-15 12:50:31 Singular Exp $
     1// $Id: classify.lib,v 1.33 1999-07-06 11:32:45 obachman Exp $
    22// KK, last modified: 04.04.1998
    33///////////////////////////////////////////////////////////////////////////////
    44
    5 version  = "$Id: classify.lib,v 1.32 1999-06-15 12:50:31 Singular Exp $";
     5version  = "$Id: classify.lib,v 1.33 1999-07-06 11:32:45 obachman Exp $";
    66info="
    77LIBRARY:  classify.lib  PROCEDURES FOR THE ARNOLD-CLASSIFIER OF SINGULARITIES
    88
     9OVERVIEW:
    910   A library for classifying isolated hypersurface singularities w.r.t. right
    1011   equivalence, based on the determinator of singularities by V.I. Arnold.
    11    Author: Kai Krueger, krueger@mathematik.uni-kl.de
    12 
     12
     13AUTHOR:
     14   Kai Krueger, krueger@mathematik.uni-kl.de
     15
     16PROCEDURES:
    1317basicinvariants(f);  computes Milnor number, determinacy-bound and corank of f
    1418classify(f);         normal form of poly f determined with Arnold's method

  • Singular/LIB/deform.lib

    r48efa51 rf34c37c  
    1 // $Id: deform.lib,v 1.14 1998-10-21 10:28:19 krueger Exp $
     1// $Id: deform.lib,v 1.15 1999-07-06 11:32:46 obachman Exp $
    22// author: Bernd Martin email: martin@math.tu-cottbus.de
    33//(bm, last modified 4/98)
    44///////////////////////////////////////////////////////////////////////////////
    5 version="$Id: deform.lib,v 1.14 1998-10-21 10:28:19 krueger Exp $";
     5version="$Id: deform.lib,v 1.15 1999-07-06 11:32:46 obachman Exp $";
    66info="
    77LIBRARY:  deform.lib       PROCEDURES FOR COMPUTING MINIVERSAL DEFORMATION
    8                            by Bernd Martin (martin@math.tu-cottbus.de)
    98
     9AUTHOR: Bernd Martin (martin@math.tu-cottbus.de)
     10
     11PROCEDURES:
    1012 versal(Fo[,d,any])        miniversal deformation of isolated singularity Fo
    1113 mod_versal(Mo,I,[,d,any]) miniversal deformation of module Mo modulo ideal I
    1214 lift_kbase(N,M);          lifting N into standard kbase of M
    1315 lift_rel_kb(N,M[,kbM,p])  relative lifting N into a kbase of M
    14  kill_rings([\"prefix\"])    kills the exported rings from above
    15 
    16   SUB-PROCEDURES            used by main procedure:
    17                   get_rings,compute_ext,get_inf_def,interact1,
    18                   interact2,negative_part,homog_test
     16 kill_rings([\"prefix\"])  kills the exported rings from above
    1917";
    2018///////////////////////////////////////////////////////////////////////////////

  • Singular/LIB/elim.lib

    r48efa51 rf34c37c  
    1 // $Id: elim.lib,v 1.5 1999-07-01 15:51:50 Singular Exp $
     1// $Id: elim.lib,v 1.6 1999-07-06 11:32:47 obachman Exp $
    22// system("random",787422842);
    33// (GMG, last modified 22.06.96)
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: elim.lib,v 1.5 1999-07-01 15:51:50 Singular Exp $";
     6version="$Id: elim.lib,v 1.6 1999-07-06 11:32:47 obachman Exp $";
    77info="
    88LIBRARY:  elim.lib      PROCEDURES FOR ELIMINATIOM, SATURATION AND BLOWING UP
    99
     10PROCEDURES:
    1011 blowup0(j[,s1,s2]);    create presentation of blownup ring of ideal j
    1112 elim(id,n,m);          variable n..m eliminated from id (ideal/module)

  • Singular/LIB/finvar.lib

    r48efa51 rf34c37c  
    1 // $Id: finvar.lib,v 1.15 1998-12-02 10:52:08 Singular Exp $
     1// $Id: finvar.lib,v 1.16 1999-07-06 11:32:50 obachman Exp $
    22// author: Agnes Eileen Heydtmann, email:agnes@math.uni-sb.de
    33// last change: 98/11/05
    44//////////////////////////////////////////////////////////////////////////////
    5 version="$Id: finvar.lib,v 1.15 1998-12-02 10:52:08 Singular Exp $"
     5version="$Id: finvar.lib,v 1.16 1999-07-06 11:32:50 obachman Exp $"
    66info="
    77LIBRARY:  finvar.lib       LIBRARY TO CALCULATE INVARIANT RINGS & MORE
    88
     9OVERVIEW:
    910 A library for computing polynomial invariants of finite matrix groups and
    1011 generators of related varieties. The algorithms are based on B. Sturmfels,
    1112 G. Kemper and Decker et al..
    12  Author: Agnes E. Heydtmann, agnes@math.uni-sb.de
    1313
    14  MAIN PROCEDURES:
     14AUTHOR: Agnes E. Heydtmann, agnes@math.uni-sb.de
     15
     16MAIN PROCEDURES:
    1517 invariant_ring()                  generators of the invariant ring (i.r.)
    1618 invariant_ring_random()           generators of the i.r., randomized alg.
    … …  
    1820 primary_invariants_random()       primary invariants, randomized alg.
    1921
    20  SUB-PROCEDURES:
     22SUB-PROCEDURES:
    2123 cyclotomic()                      cyclotomic polynomial
    2224 group_reynolds()                  finite group and Reynolds operator (R.o.)

  • Singular/LIB/general.lib

    r48efa51 rf34c37c  
    1 // $Id: general.lib,v 1.13 1999-06-21 17:34:15 Singular Exp $
     1// $Id: general.lib,v 1.14 1999-07-06 11:32:54 obachman Exp $
    22//system("random",787422842);
    33//GMG, last modified 18.6.99
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: general.lib,v 1.13 1999-06-21 17:34:15 Singular Exp $";
     6version="$Id: general.lib,v 1.14 1999-07-06 11:32:54 obachman Exp $";
    77info="
    88LIBRARY:  general.lib   PROCEDURES OF GENERAL TYPE
    99
    10  A_Z(\"a\",n);            string a,b,... of n comma seperated letters
     10PROCEDURES:
     11 A_Z(\"a\",n);          string a,b,... of n comma seperated letters
    1112 ASCII([n,m]);          string of printable ASCII characters (number n to m)
    1213 binomial(n,m[,../..]); n choose m (type int), [type string/type number]

  • Singular/LIB/graphics.lib

    r48efa51 rf34c37c  
    1 // $Id: graphics.lib,v 1.2 1998-06-19 13:36:00 gorzel Exp $
     1// $Id: graphics.lib,v 1.3 1999-07-06 11:32:55 obachman Exp $
    22//
    33// author : Christian Gorzel email: gorzelc@math.uni-muenster.de
    44//
    55///////////////////////////////////////////////////////////////////////////////
    6 version="$Id: graphics.lib,v 1.2 1998-06-19 13:36:00 gorzel Exp $";
     6version="$Id: graphics.lib,v 1.3 1999-07-06 11:32:55 obachman Exp $";
    77info="
    88LIBRARY: graphics.lib    PROCEDURES FOR GRAPHICS WITH MATHEMATICA
    99
     10PROCEDURES:
    1011 staircase(fname,I);  Mathematica text for displaying staircase of I
    1112 mathinit();          string for loading Mathematica's ImplicitPlot

  • Singular/LIB/hnoether.lib

    r48efa51 rf34c37c  
    1 // $Id: hnoether.lib,v 1.10 1999-04-14 12:11:49 Singular Exp $
     1// $Id: hnoether.lib,v 1.11 1999-07-06 11:32:56 obachman Exp $
    22// author:  Martin Lamm,  email: lamm@mathematik.uni-kl.de
    33// last change:           09.03.99
    … …  
    55// This library is for Singular 1.2 or newer
    66
    7 version="$Id: hnoether.lib,v 1.10 1999-04-14 12:11:49 Singular Exp $";
     7version="$Id: hnoether.lib,v 1.11 1999-07-06 11:32:56 obachman Exp $";
    88info="
    99LIBRARY:  hnoether.lib   PROCEDURES FOR THE HAMBURGER-NOETHER DEVELOPMENT
    1010
    11            Important procedures:
     11AUTHOR: Martin Lamm,  lamm@mathematik.uni-kl.de
     12
     13MAIN PROCEDURES:
    1214 develop(f [,n]);    Hamburger-Noether development of the irred. polynomial f
    1315 reddevelop(f);      Hamburger-Noether development of the (red.) polynomial f
    … …  
    2224 stripHNE(hne);      reduce amount of memory consumed by hne
    2325
    24            perhaps useful procedures:
     26SUB-PROCEDURES:
    2527 puiseux2generators(m,n); convert Puiseux pairs to generators of semigroup
    2628 multiplicities(hne);     multiplicities of blowed up curves

  • Singular/LIB/homolog.lib

    r48efa51 rf34c37c  
    1 // $Id: homolog.lib,v 1.7 1998-05-29 15:01:58 Singular Exp $
     1// $Id: homolog.lib,v 1.8 1999-07-06 11:32:57 obachman Exp $
    22//(BM/GMG, last modified 22.06.96)
    33///////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: homolog.lib,v 1.7 1998-05-29 15:01:58 Singular Exp $";
     5version="$Id: homolog.lib,v 1.8 1999-07-06 11:32:57 obachman Exp $";
    66info="
    77LIBRARY:  homolog.lib   PROCEDURES FOR HOMOLOGICAL ALGEBRA
    88
     9PROCEDURES:
    910 cup(M);                cup: Ext^1(M',M') x Ext^1() --> Ext^2()
    1011 cupproduct(M,N,P,p,q); cup: Ext^p(M',N') x Ext^q(N',P') --> Ext^p+q(M',P')

  • Singular/LIB/inout.lib

    r48efa51 rf34c37c  
    1 // $Id: inout.lib,v 1.7 1999-06-07 17:32:21 Singular Exp $
     1// $Id: inout.lib,v 1.8 1999-07-06 11:32:58 obachman Exp $
    22// system("random",787422842);
    33// (GMG/BM, last modified 22.06.96)
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: inout.lib,v 1.7 1999-06-07 17:32:21 Singular Exp $";
     6version="$Id: inout.lib,v 1.8 1999-07-06 11:32:58 obachman Exp $";
    77info="
    88LIBRARY:  inout.lib     PROCEDURES FOR MANIPULATING IN- AND OUTPUT
    99
     10PROCEDURES:
    1011 allprint(list);        print list if ALLprint is defined, with pause if >0
    1112 dbpri(n,list);         print objects of list if int n<=printlevel

  • Singular/LIB/invar.lib

    r48efa51 rf34c37c  
    1 // $Id: invar.lib,v 1.7 1998-05-14 18:45:08 Singular Exp $
     1// $Id: invar.lib,v 1.8 1999-07-06 11:32:59 obachman Exp $
    22///////////////////////////////////////////////////////
    33// invar.lib
    … …  
    77//////////////////////////////////////////////////////
    88
    9 version="$Id: invar.lib,v 1.7 1998-05-14 18:45:08 Singular Exp $";
     9version="$Id: invar.lib,v 1.8 1999-07-06 11:32:59 obachman Exp $";
    1010info="
    1111LIBRARY: invar.lib PROCEDURES FOR COMPUTING INVARIANTS OF (C,+)-ACTIONS
    1212
    13   invariantRing(matrix m,poly p,poly q,int choose)
     13PROCEDURES:
     14 invariantRing(matrix m,poly p,poly q,int choose)
    1415  // ring of invariants of the action of the additive group
    1516  // defined by the vectorfield corresponding to the matrix m
    … …  
    6465proc der (matrix m, poly f)
    6566"USAGE:   der(m,f);  m matrix, f poly
    66 RETURN:  poly= application of the vectorfield m befined by the matrix m
     67RETURN:  poly= application of the vectorfield m defined by the matrix m
    6768         (m[i,1] are the coefficients of d/dx(i)) to f
    6869NOTE:

  • Singular/LIB/jordan.lib

    r48efa51 rf34c37c  
    11///////////////////////////////////////////////////////////////////////////////
    22
    3 version="$Id: jordan.lib,v 1.13 1999-06-22 15:39:03 mschulze Exp $";
     3version="$Id: jordan.lib,v 1.14 1999-07-06 11:32:59 obachman Exp $";
    44info="
    55LIBRARY: jordan.lib  PROCEDURES TO COMPUTE THE JORDAN NORMAL FORM
    66AUTHOR:  Mathias Schulze, email: mschulze@mathematik.uni-kl.de
    77
     8PROCEDURES:
    89 jordan(M[,opt]);  eigenvalues, Jordan block sizes, Jordan transformation of M
    910 jordanmatrix(l);  Jordan matrix with eigenvalues l[1], Jordan block sizes l[2]

  • Singular/LIB/latex.lib

    r48efa51 rf34c37c  
    1 // $Id: latex.lib,v 1.6 1998-12-10 13:07:19 krueger Exp $   
     1// $Id: latex.lib,v 1.7 1999-07-06 11:33:00 obachman Exp $   
    22//                        1998/04/17
    33// author : Christian Gorzel email: gorzelc@math.uni-muenster.de
    … …  
    88info="
    99LIBRARY: latex.lib    PROCEDURES FOR TYPESET OF SINGULAROBJECTS IN LATEX2E
    10                         by Christian Gorzel, send bugs and
    11                         comments to gorzelc@math.uni-muenster.de
    12 
     10
     11AUTHOR: Christian Gorzel, gorzelc@math.uni-muenster.de
     12
     13PROCEDURES:
    1314 closetex(fnm);       writes closing line for TeX-document
    1415 opentex(fnm);        writes header for TeX-file fnm
    … …  
    2627         (parameters in square brackets [] are optional)
    2728 
    28                       Global Variables:
     29GLOBAL VARIABLES:
    2930  TeXwidth, TeXnofrac, TeXbrack, TeXproj, TeXaligned, TeXreplace, NoDollars
    3031                  are used to control the typesetting 

  • Singular/LIB/matrix.lib

    r48efa51 rf34c37c  
    1 // $Id: matrix.lib,v 1.11 1999-02-11 12:36:47 greuel Exp $
     1// $Id: matrix.lib,v 1.12 1999-07-06 11:33:01 obachman Exp $
    22// GMG/BM, last modified: 8.10.98
    33///////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: matrix.lib,v 1.11 1999-02-11 12:36:47 greuel Exp $";
     5version="$Id: matrix.lib,v 1.12 1999-07-06 11:33:01 obachman Exp $";
    66info="
    77LIBRARY:  matrix.lib    PROCEDURES FOR MATRIX OPERATIONS
    8                         Authors: GMG/BM
    9 
     8
     9PROCEDURES:
    1010 compress(A);           matrix, zero columns from A deleted
    1111 concat(A1,A2,..);      matrix, concatenation of matrices A1,A2,...

  • Singular/LIB/mondromy.lib

    r48efa51 rf34c37c  
    11///////////////////////////////////////////////////////////////////////////////
    22
    3 version="$Id: mondromy.lib,v 1.5 1999-06-30 09:32:49 mschulze Exp $";
     3version="$Id: mondromy.lib,v 1.6 1999-07-06 11:33:02 obachman Exp $";
    44info="
    55LIBRARY: mondromy.lib  PROCEDURES TO COMPUTE THE MONODROMY OF A SINGULARITY
    66AUTHOR:  Mathias Schulze, email: mschulze@mathematik.uni-kl.de
    77
     8PROCEDURES:
    89 invunit(u,n);         series inverse of polynomial u up to order n
    910 detadj(U);            determinant and adjoint matrix of square matrix U

  • Singular/LIB/noethernormal.lib

    r48efa51 rf34c37c  
    1 // $Id: noethernormal.lib,v 1.1 1998-08-24 10:45:06 obachman Exp $
     1// $Id: noethernormal.lib,v 1.2 1999-07-06 11:33:03 obachman Exp $
    22//(GP, last modified 15.08.98)
    33///////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: noethernormal.lib,v 1.1 1998-08-24 10:45:06 obachman Exp $";
     5version="$Id: noethernormal.lib,v 1.2 1999-07-06 11:33:03 obachman Exp $";
    66info="
    77LIBRARY:  noetherNormal.lib    PROCEDURE FOR NOETHERNORMALIZATION
    8 
    9  noetherNormal(id);   noether normalization of id
     8PROCEDURES:
     9 noetherNormal(id);   noether normalization of ideal id
    1010";
    1111

  • Singular/LIB/normal.lib

    r48efa51 rf34c37c  
    66///////////////////////////////////////////////////////////////////////////////
    77
    8 version="$Id: normal.lib,v 1.14 1999-06-08 11:15:58 Singular Exp $";
     8version="$Id: normal.lib,v 1.15 1999-07-06 11:33:04 obachman Exp $";
    99info="
    1010LIBRARY: normal.lib     PROCEDURES FOR NORMALIZATION
    1111
     12PROCEDURES:
    1213 normal(I);             computes the normalization of basering/I
    1314 extraweight(R);        intvec of variable weights of ring R

  • Singular/LIB/paramet.lib

    r48efa51 rf34c37c  
    1 // $Id: paramet.lib,v 1.3 1999-05-26 14:32:02 obachman Exp $
     1// $Id: paramet.lib,v 1.4 1999-07-06 11:33:06 obachman Exp $
    22// author : Thomas Keilen email: keilen@mathematik.uni-kl.de
    33// last change:           07.08.98
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: paramet.lib,v 1.3 1999-05-26 14:32:02 obachman Exp $";
     6version="$Id: paramet.lib,v 1.4 1999-07-06 11:33:06 obachman Exp $";
    77info="
    88LIBRARY:  paramet.lib   PROCEDURES FOR PARAMETRIZATION OF PRIMARY
    99                        DECOMPOSITION, ETC.
    1010
     11PROCEDURES:
    1112 parametrize(I);       parametrizes a prime ideal if possible via the
    1213                       normalization

  • Singular/LIB/poly.lib

    r48efa51 rf34c37c  
    1 // $Id: poly.lib,v 1.14 1998-05-19 18:08:26 obachman Exp $
     1// $Id: poly.lib,v 1.15 1999-07-06 11:33:07 obachman Exp $
    22//system("random",787422842);
    33//(GMG, last modified 22.06.96)
    … …  
    55///////////////////////////////////////////////////////////////////////////////
    66
    7 version="$Id: poly.lib,v 1.14 1998-05-19 18:08:26 obachman Exp $";
     7version="$Id: poly.lib,v 1.15 1999-07-06 11:33:07 obachman Exp $";
    88info="
    99LIBRARY:  poly.lib      PROCEDURES FOR MANIPULATING POLYS, IDEALS, MODULES
    1010
     11PROCEDURES:
    1112 cyclic(int);           ideal of cyclic n-roots
    1213 katsura([i]);          katsura [i] ideal

  • Singular/LIB/presolve.lib

    r48efa51 rf34c37c  
    1 // $Id: presolve.lib,v 1.6 1999-03-09 12:28:50 obachman Exp $
     1// $Id: presolve.lib,v 1.7 1999-07-06 11:33:08 obachman Exp $
    22//system("random",787422842);
    33//(GMG), last modified 97/10/07 by GMG
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: presolve.lib,v 1.6 1999-03-09 12:28:50 obachman Exp $";
     6version="$Id: presolve.lib,v 1.7 1999-07-06 11:33:08 obachman Exp $";
    77info="
    88LIBRARY:  presolve.lib     PROCEDURES FOR PRE-SOLVING POLYNOMIAL EQUATIONS
    99
     10PROCEDURES:
    1011 degreepart(id,d1,d2);  elements of id of total degree >= d1 and <= d2
    1112 elimlinearpart(id);    linear part eliminated from id

  • Singular/LIB/primdec.lib

    r48efa51 rf34c37c  
    1 // $Id: primdec.lib,v 1.36 1999-07-02 09:06:00 obachman Exp $
     1// $Id: primdec.lib,v 1.37 1999-07-06 11:33:09 obachman Exp $
    22////////////////////////////////////////////////////////////////////////////////
    33// primdec.lib                                                                //
    … …  
    1111////////////////////////////////////////////////////////////////////////////////
    1212
    13 version="$Id: primdec.lib,v 1.36 1999-07-02 09:06:00 obachman Exp $";
     13version="$Id: primdec.lib,v 1.37 1999-07-06 11:33:09 obachman Exp $";
    1414info="
    15 LIBRARY: primdec.lib: PROCEDURE FOR PRIMARY DECOMPOSITION
    16 
     15LIBRARY: primdec.lib PROCEDURE FOR PRIMARY DECOMPOSITION
     16
     17AUTHORS: Gerhard Pfister, Wolfram Decker, Hans Schoenemann
     18
     19PROCEDURES:
    1720  minAssGTZ(I);     computes the minimal associated primes
    1821                      via Gianni,Trager,Zacharias
    … …  
    2932                      of the ideal I
    3033  prepareAss(I);    computes the radicals of the equidimensional parts of I
     34
     35REMARK:
    3136These procedures are implemented to be used in characteristic 0.
    3237They work also in positive characteristic >> 0.

  • Singular/LIB/primitiv.lib

    r48efa51 rf34c37c  
    1 // $Id: primitiv.lib,v 1.9 1999-07-02 09:06:01 obachman Exp $
     1// $Id: primitiv.lib,v 1.10 1999-07-06 11:33:10 obachman Exp $
    22// author:  Martin Lamm,  email: lamm@mathematik.uni-kl.de
    33// last change:            19.03.99
    … …  
    55// This library is for Singular 1.2 or newer
    66
    7 version="$Id: primitiv.lib,v 1.9 1999-07-02 09:06:01 obachman Exp $";
     7version="$Id: primitiv.lib,v 1.10 1999-07-06 11:33:10 obachman Exp $";
    88info="
    99LIBRARY:    primitiv.lib    PROCEDURES FOR FINDING A PRIMITIVE ELEMENT
    10 
     10AUTHOR: Martin Lamm,  email: lamm@mathematik.uni-kl.de
     11PROCEDURES:
    1112 primitive(ideal i);   find minimal polynomial for a primitive element
    1213 primitive_extra(i);   find primitive element for two generators

  • Singular/LIB/random.lib

    r48efa51 rf34c37c  
    1 // $Id: random.lib,v 1.6 1999-07-02 09:06:02 obachman Exp $
     1// $Id: random.lib,v 1.7 1999-07-06 11:33:11 obachman Exp $
    22//system("random",787422842);
    33//(GMG/BM, last modified 22.06.96)
    44///////////////////////////////////////////////////////////////////////////////
    55
    6 version="$Id: random.lib,v 1.6 1999-07-02 09:06:02 obachman Exp $";
     6version="$Id: random.lib,v 1.7 1999-07-06 11:33:11 obachman Exp $";
    77info="
    88LIBRARY:  random.lib    PROCEDURES OF RANDOM MATRIX AND POLY OPERATIONS
    99
     10PROCEDURES:
    1011 genericid(id[,p,b]);   generic sparse linear combinations of generators of id
    1112 randomid(id,[k,b]);    random linear combinations of generators of id

  • Singular/LIB/ring.lib

    r48efa51 rf34c37c  
    1 // $Id: ring.lib,v 1.8 1998-10-21 10:28:27 krueger Exp $
     1// $Id: ring.lib,v 1.9 1999-07-06 11:33:12 obachman Exp $
    22//(GMG, last modified 03.11.95)
    33///////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: ring.lib,v 1.8 1998-10-21 10:28:27 krueger Exp $";
     5version="$Id: ring.lib,v 1.9 1999-07-06 11:33:12 obachman Exp $";
    66info="
    77LIBRARY:  ring.lib      PROCEDURES FOR MANIPULATING RINGS AND MAPS
    88
     9PROCEDURES:
    910 changechar(\"R\",c[,r]); make a copy R of basering [ring r] with new char c
    1011 changeord(\"R\",o[,r]);  make a copy R of basering [ring r] with new ord o

  • Singular/LIB/sing.lib

    r48efa51 rf34c37c  
    11
    2 // $Id: sing.lib,v 1.14 1999-06-28 12:48:18 wenk Exp $
     2// $Id: sing.lib,v 1.15 1999-07-06 11:33:13 obachman Exp $
    33//system("random",787422842);
    44//(GMG/BM, last modified 26.06.96)
    55///////////////////////////////////////////////////////////////////////////////
    66
    7 version="$Id: sing.lib,v 1.14 1999-06-28 12:48:18 wenk Exp $";
     7version="$Id: sing.lib,v 1.15 1999-07-06 11:33:13 obachman Exp $";
    88info="
    99LIBRARY:  sing.lib      PROCEDURES FOR SINGULARITIES
    1010
     11PROCEDURES:
    1112 codim (id1, id2);      vector space dimension of of id2/id1 if finite
    1213 deform(i);             infinitesimal deformations of ideal i

  • Singular/LIB/solve.lib

    r48efa51 rf34c37c  
    11///////////////////////////////////////////////////////////////////////////////
    22
    3 version="$Id: solve.lib,v 1.7 1999-07-02 16:14:41 wenk Exp $";
     3version="$Id: solve.lib,v 1.8 1999-07-06 11:33:13 obachman Exp $";
    44info="
    55LIBRARY: solve.lib     PROCEDURES TO SOLVE POLYNOMIAL SYSTEMS
    66AUTHOR:  Moritz Wenk,  email: wenk@mathematik.uni-kl.de
    77
     8PROCEDURES:
    89 ures_solve(i,..);      find all roots of 0-dimensional ideal i with resultants
    910 mp_res_mat(i,..);      multipolynomial resultant matrix of ideal i

  • Singular/LIB/solver.lib

    r48efa51 rf34c37c  
    1 // $Id: solver.lib,v 1.1 1999-06-07 12:26:51 obachman Exp $
     1// $Id: solver.lib,v 1.2 1999-07-06 11:33:14 obachman Exp $
    22////////////////////////////////////////////////////////////////////////////////
    33// solver.lib                                                                //
    … …  
    77////////////////////////////////////////////////////////////////////////////////
    88
    9 version="$Id: solver.lib,v 1.1 1999-06-07 12:26:51 obachman Exp $";
     9version="$Id: solver.lib,v 1.2 1999-07-06 11:33:14 obachman Exp $";
    1010info="
    1111LIBRARY: solver.lib: PROCEDURES FOR SOLVING ZERO-DIMENSIONAL ALGEBRAIC SYSTEMS
     12AUTHOR: Dietmar Hillebrand
    1213
     14PROCEDURES:
    1315  triMNewton(G,a,err,itb); computes an improved approximation for
    1416                           a common zero of the triangular system G

  • Singular/LIB/spcurve.lib

    r48efa51 rf34c37c  
    1 // $Id: spcurve.lib,v 1.1 1999-04-30 16:56:19 obachman Exp $
     1// $Id: spcurve.lib,v 1.2 1999-07-06 11:33:14 obachman Exp $
    22// (anne, last modified 20.7.98)
    33/////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: spcurve.lib,v 1.1 1999-04-30 16:56:19 obachman Exp $";
     5version="$Id: spcurve.lib,v 1.2 1999-07-06 11:33:14 obachman Exp $";
    66info="
    77LIBRARY: spcurve.lib    PROCEDURES FOR CM CODIMENSION 2 SINGULARITIES
    88
     9PROCEDURES:
    910 isCMcod2(i);            presentation matrix of the ideal i
    1011 CMtype(i);              Cohen-Macaulay type of the ideal i

  • Singular/LIB/standard.lib

    r48efa51 rf34c37c  
    1 // $Id: standard.lib,v 1.34 1999-06-30 15:42:14 Singular Exp $
     1// $Id: standard.lib,v 1.35 1999-07-06 11:33:15 obachman Exp $
    22//////////////////////////////////////////////////////////////////////////////
    33
    4 version="$Id: standard.lib,v 1.34 1999-06-30 15:42:14 Singular Exp $";
     4version="$Id: standard.lib,v 1.35 1999-07-06 11:33:15 obachman Exp $";
    55info="
    66LIBRARY: standard.lib   PROCEDURES WHICH ARE ALWAYS LOADED AT START-UP
    77
     8PROCEDURES:
    89 stdfglm(ideal[,ord])   standard basis of the ideal via fglm [and ordering ord]
    910 stdhilb(ideal[,h])     standard basis of the ideal using the Hilbert function
    … …  
    1112                        heuristically choosen method
    1213 quot(any,any[,n])  a general quotient procedure calling several algorithms
    13                   allows module/module, ideal/ideal, module/ideal and a
    14                   pre-definition of the algorithm by the parameter n
    15  quotient1(m1,m2) computes quotients by every vector of m2 and intersects them
    16  quotient2(m1,m2) a heuristic variant: the quotient is just defined by a
    17                   (not really) general element of m2 which has to be proved
    18  quotient3(m1,m2) the homogeneous variant of quotient5(m1,m2)
    19  quotient4(m1,m2) the same as quotient5(m1,m2) using the modulo-command
    20                   instead of the quotient-command from the kernel
    21  quotient5(m1,m2) computes with a real general element of m2 by adjoining
    22                   a new variable
     14                    allows module/module, ideal/ideal, module/ideal and a
     15                    pre-definition of the algorithm by the parameter n
    2316 sprintf(fmt,...)     returns fomatted string
    2417 fprintf(link,fmt,..) writes formatted string to link
    … …  
    946939
    947940}
    948 
    949941*/

  • Singular/LIB/surf.lib

    r48efa51 rf34c37c  
    1 // $Id: surf.lib,v 1.3 1999-05-26 16:23:25 obachman Exp $
     1// $Id: surf.lib,v 1.4 1999-07-06 11:33:16 obachman Exp $
    22//
    33// author : Hans Schoenemann
    44//
    55///////////////////////////////////////////////////////////////////////////////
    6 version="$Id: surf.lib,v 1.3 1999-05-26 16:23:25 obachman Exp $";
     6version="$Id: surf.lib,v 1.4 1999-07-06 11:33:16 obachman Exp $";
    77info="
    88LIBRARY: surf.lib    PROCEDURES FOR GRAPHICS WITH SURF (by Stephan Endrass)
    99
     10PROCEDURES:
    1011 plot(I);  plots curves and surfaces
    1112";

  • Singular/LIB/tst.lib

    r48efa51 rf34c37c  
    1 // $Id: tst.lib,v 1.12 1998-09-01 12:03:13 obachman Exp $
     1// $Id: tst.lib,v 1.13 1999-07-06 11:33:17 obachman Exp $
    22//(obachman, last modified 6/30/98)
    33/////////////////////////////////////////////////////////////////////////////
    44
    5 version="$Id: tst.lib,v 1.12 1998-09-01 12:03:13 obachman Exp $";
     5version="$Id: tst.lib,v 1.13 1999-07-06 11:33:17 obachman Exp $";
    66info="
    77LIBRARY:  tst.lib      PROCEDURES FOR RUNNING AUTOMATIC TST TESTS
    88
    9 
     9PROCEDURES:
    1010 tst_system(s)          returns string which is stdout of system(\"sh\", s)
    1111 tst_ignore(any,[keyword], [link]) writes string(any) to link (or stdout),
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