Changeset 66d68c in git


Ignore:
Timestamp:
Oct 15, 2010, 11:55:26 AM (13 years ago)
Author:
Hans Schoenemann <hannes@…>
Branches:
(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'cdfcdb8287f66bc6070028082cbbc6eff10e609b')
Children:
6884f3d906eac12276ce93286857c09b5973ea99
Parents:
0cfbf94599a716e52eb2abcd994c67bbbb8e0ea9
Message:
format

git-svn-id: file:///usr/local/Singular/svn/trunk@13499 2c84dea3-7e68-4137-9b89-c4e89433aadc
Location:
Singular/LIB
Files:
59 edited

Legend:

Unmodified
Added
Removed

  • Singular/LIB/absfact.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Factorization";

  • Singular/LIB/alexpoly.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Singularities";

  • Singular/LIB/binresol.lib

    r0cfbf94 r66d68c  
    1 // rocio, last modified 19.06.09
    21////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/central.lib

    r0cfbf94 r66d68c  
    11///////////////////////////////////////////////////////////////////////////////
    2 version="$Id$"
    3 category="Noncommutative"
     2version="$Id$";
     3category="Noncommutative";
    44info="
    55LIBRARY:  central.lib      Computation of central elements of GR-algebras

  • Singular/LIB/cimonom.lib

    r0cfbf94 r66d68c  
    1 // IB/IG/JJS, last modified: 10.07.2007
    2 ///////////////////////////////////////////////////////////////////////////////////////////////////////////
     1//////////////////////////////////////////////////////////////////////////////////////
    32version = "$Id$";
    43category="Commutative Algebra";

  • Singular/LIB/classify.lib

    r0cfbf94 r66d68c  
    1 // KK,GMG last modified: 17.12.00
    21///////////////////////////////////////////////////////////////////////////////
    32version  = "$Id$";

  • Singular/LIB/control.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="System and Control Theory";

  • Singular/LIB/crypto.lib

    r0cfbf94 r66d68c  
    1 //GP, last modified 28.6.06
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";
    … …  
    76AUTHOR:                  Gerhard Pfister, pfister@mathematik.uni-kl.de
    87
    9 NOTE: The library contains procedures to compute the discrete logarithm,
     8OVERVIEW:
     9     The library contains procedures to compute the discrete logarithm,
    1010      primality-tests, factorization included elliptic curves.
    1111      The library is intended to be used for teaching purposes but not

  • Singular/LIB/curvepar.lib

    r0cfbf94 r66d68c  
    1 ///////////////////////////////////////////////////////////////////////////////////////////
     1////////////////////////////////////////////////////////////////////////////////////
    22version="$Id$";
    33category="Singularities";

  • Singular/LIB/deform.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 // author: Bernd Martin email: martin@math.tu-cottbus.de
    3 //(bm, last modified 4/98)
    41///////////////////////////////////////////////////////////////////////////////
    52version="$Id$";

  • Singular/LIB/dmod.lib

    r0cfbf94 r66d68c  
    88
    99OVERVIEW:
    10 Theory: Let K be a field of characteristic 0. Given a polynomial ring
     10Let K be a field of characteristic 0. Given a polynomial ring
    1111@*      R = K[x_1,...,x_n] and a polynomial F in R,
    1212@*      one is interested in the R[1/F]-module of rank one, generated by
    … …  
    9090
    9191KEYWORDS: D-module; D-module structure; left annihilator ideal; Bernstein-Sato polynomial; global Bernstein-Sato polynomial;
    92 Weyl algebra; Bernstein operator; logarithmic annihilator ideal; parametric annihilator; root of Bernstein-Sato polynomial; 
     92Weyl algebra; Bernstein operator; logarithmic annihilator ideal; parametric annihilator; root of Bernstein-Sato polynomial;
    9393hyperplane arrangement; Oaku-Takayama algorithm; Briancon-Maisonobe algorithm; LOT algorithm
    9494";

  • Singular/LIB/dmodapp.lib

    r0cfbf94 r66d68c  
    99Support: DFG Graduiertenkolleg 1632 'Experimentelle und konstruktive Algebra'
    1010
    11 OVERVIEW: Let K be a field of characteristic 0, R = K[x1,...,xN] and
    12  D be the Weyl algebra in variables x1,...,xN,d1,...,dN.
    13  In this library there are the following procedures for algebraic D-modules:
     11OVERVIEW:
     12Let K be a field of characteristic 0, R = K[x1,...,xN] and
     13D be the Weyl algebra in variables x1,...,xN,d1,...,dN.
     14In this library there are the following procedures for algebraic D-modules:
    1415
    1516@* - given a cyclic representation D/I of a holonomic module and a polynomial

  • Singular/LIB/ehv.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 /////////////////////////////////////////////////////////////////////
    3 // EHV.lib                                                         //
    4 // algorithms for primary decomposition of ideals based on         //
    5 // the algorithms of Eisenbud, Huneke, Vasconcelos                 //
    6 // written by Kai Dehmann                                          //
    7 //                                                                 //
    81/////////////////////////////////////////////////////////////////////
    92

  • Singular/LIB/elim.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 // (GMG, modified 22.06.96)
    3 // GMG, last modified 30.10.08: new procedure elimRing;
    4 // elim changes now to ring with elimination ordering (extra weight vector
    5 // a(...)), works now in qring, new examples have been added;
    6 // syntax of elim, nselect, select and select1 changed: instead of two
    7 // integers an intvec can be given. Bug in nselect fixed which occured
    8 // in connectin with type conversion from matrix to module.
    9 // GMG, last modified 5.01.09: elim uses now stdhilb(id,@w) instead of std(id)
    10 // and can now choose as method slimgb or std.
    111///////////////////////////////////////////////////////////////////////////////
    122version="$Id$";

  • Singular/LIB/factor.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 //(RS)
    31///////////////////////////////////////////////////////////////////////////////
    42

  • Singular/LIB/findiff.lib

    r0cfbf94 r66d68c  
    77AUTHOR:                  Christian Dingler
    88
    9 OVERVIEW: 
     9OVERVIEW:
    1010@texinfo
    1111 Using @code{qepcad}/@code{qepcadsystem} from this
    … …  
    201201proc scheme(list #)
    202202"USAGE:  scheme([v1,..,vn]); v1,..,vn of type vector
    203 RETURN:  poly 
    204 PURPOSE: performs substitutions by the means of Groebner basis computation 
    205 of the submodule, generated by the input vectors, then intersects the 
    206 intermediate result with the suitable component in order to get a finite 
     203RETURN:  poly
     204PURPOSE: performs substitutions by the means of Groebner basis computation
     205of the submodule, generated by the input vectors, then intersects the
     206intermediate result with the suitable component in order to get a finite
    207207difference scheme
    208208NOTE:  works only for a single PDE, for the case of a system use @code{matrixsystem}
    … …  
    531531proc setinitials(list variable, list der,list #)
    532532"USAGE:  setinitials(V,D[,P]); V,D,P are lists with strings as elements
    533 RETURN:  no return value: sets the dependence order of the occuring derivatives, 
     533RETURN:  no return value: sets the dependence order of the occuring derivatives,
    534534constructs the suitable ring to compute in containing user chosen parameters, sets new basering
    535 NOTE:    P is optional, used to introduce some additional parameters into the ring. The Sine and 
    536 Cosine values needed for the fourier transformation are symbolically introduced under the names 
    537 string(c)+nameof(variable), i.e. if x is any spatial variable then cx:=cosine(dx*ksi), when 
    538 regarding the fourier transform after ksi (for sine respectively). Artificial parameters I,T,Px,Py 
    539 are introduced for the later eigenvalue analysis. Variables can be transformed into parameters 
     535NOTE:    P is optional, used to introduce some additional parameters into the ring. The Sine and
     536Cosine values needed for the fourier transformation are symbolically introduced under the names
     537string(c)+nameof(variable), i.e. if x is any spatial variable then cx:=cosine(dx*ksi), when
     538regarding the fourier transform after ksi (for sine respectively). Artificial parameters I,T,Px,Py
     539are introduced for the later eigenvalue analysis. Variables can be transformed into parameters
    540540of similar name
    541541EXAMPLE: example setinitials; shows an example
    … …  
    11561156  // writes the following to the file qepcadfilter.pl
    11571157  // is there already such a file? remove it!
    1158   system("sh","rm -f qepcadfilter.pl"); 
     1158  system("sh","rm -f qepcadfilter.pl");
    11591159  link l=":w qepcadfilter.pl";
    11601160  write(l, "#!/usr/bin/perl");
    … …  
    11701170proc qepcadsystem(list l)
    11711171"USAGE:  qepcadsytem(f); l a list;
    1172 RETURN:  list 
    1173 PURPOSE: gives back some constraints that are equivalent to the 
     1172RETURN:  list
     1173PURPOSE: gives back some constraints that are equivalent to the
    11741174eigenvalues of the matrices in the list l being < 1 (computed by QEPCAD)
    11751175EXAMPLE:  example qepcadsystem; shows an example

  • Singular/LIB/findifs.lib

    r0cfbf94 r66d68c  
    1010        semi-factorized and a nodal form. Running @code{findifs_example();}
    1111        will demonstrate, how we generate finite difference schemes of linear PDEs
    12         from given approximations. 
     12        from given approximations.
    1313
    1414Theory: The method we use have been developed by V. Levandovskyy and Bernd Martin. The
    … …  
    644644  for(j=size(L);j>0;j--)
    645645  {
    646     if (L[j] == "i") 
     646    if (L[j] == "i")
    647647    {
    648648      cnt = 1; break;

  • Singular/LIB/fpadim.lib

    r0cfbf94 r66d68c  
    15951595@*        degbound <= attrib(basering,uptodeg) holds.
    15961596NOTE: - If L is the list returned, then L[1] is an integer, the K-dimension,
    1597 @*      L[2] is an intvec, the Hilbert series and L[3] is an ideal, 
     1597@*      L[2] is an intvec, the Hilbert series and L[3] is an ideal,
    15981598@*      the mistletoes
    15991599@*    - If degbound is set, there will be a degree bound added. 0 means no

  • Singular/LIB/freegb.lib

    r0cfbf94 r66d68c  
    493493{
    494494  "EXAMPLE:"; echo = 2;
    495   ring r = 0,(x,y,z),(dp(1),dp(2)); 
     495  ring r = 0,(x,y,z),(dp(1),dp(2));
    496496  int degree_bound = 5;
    497497  def R = makeLetterplaceRing(5);
    … …  
    30083008*/
    30093009
    3010 //static 
     3010//static
    30113011proc lpMultX(poly f, poly g)
    30123012{
    … …  
    30763076{
    30773077
    3078   // changelog: 
     3078  // changelog:
    30793079  // VL oct 2010: deg -> deg(_,w) for the length
    30803080  // shrink the result => don't need to decompose polys

  • Singular/LIB/general.lib

    r0cfbf94 r66d68c  
    1 //GMG, last modified 18.6.99
    2 //anne, added deleteSublist and watchdog 12.12.2000
    3 //eric, added absValue 11.04.2002
    41///////////////////////////////////////////////////////////////////////////////
    52version="$Id$";

  • Singular/LIB/graphics.lib

    r0cfbf94 r66d68c  
    1 //last change: 13.02.2001 (Eric Westenberger)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/groups.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 //(GP, last modified 26.10.01)
    31///////////////////////////////////////////////////////////////////////////////
    42version="$Id$";

  • Singular/LIB/grwalk.lib

    r0cfbf94 r66d68c  
    1 ///////////////////////////////////////////////////////////////
    2 // $Id$   //
    31///////////////////////////////////////////////////////////////
    42

  • Singular/LIB/hnoether.lib

    r0cfbf94 r66d68c  
     1///////////////////////////////////////////////////////////////////////////////
    12version="$Id$";
    2 // (GMG, last modified 08.06.08: comments to Newton non-degenerate added)
    3 ///////////////////////////////////////////////////////////////////////////////
    43
    54category="Singularities";

  • Singular/LIB/inout.lib

    r0cfbf94 r66d68c  
    1 // (GMG/BM, last modified 22.06.96)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/involut.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Noncommutative";
    … …  
    78@*        Viktor Levandovskyy,  levandov@mathematik.uni-kl.de
    89
    9 THEORY: Involution is an anti-isomorphism of a non-commutative K-algebra
     10OVERVIEW:s
     11Involution is an anti-isomorphism of a non-commutative K-algebra
    1012@* with the property that applied an involution twice, one gets an identity.
    1113@* Involution is linear with respect to the ground field. In this library we compute
    … …  
    1719and V. Levandovskyy), Uni Kaiserslautern
    1820
    19 NOTE: This library provides algebraic tools for computations and operations
     21REMARK: This library provides algebraic tools for computations and operations
    2022with algebraic involutions and linear automorphisms of non-commutative algebras
    2123

  • Singular/LIB/jacobson.lib

    r0cfbf94 r66d68c  
    77@*           Viktor Levandovskyy,      levandov@math.rwth-aachen.de
    88
    9 THEORY: We work over a ring R, that is an Euclidean principal ideal domain.
     9OVERVIEW:
     10We work over a ring R, that is an Euclidean principal ideal domain.
    1011@* If R is commutative, we suppose R to be a polynomial ring in one variable.
    1112@* If R is non-commutative, we suppose R to have two variables, say x and d.

  • Singular/LIB/lejeune.lib

    r0cfbf94 r66d68c  
    1 
    21//-*- mode:C++;-*-
    3 // $Id$
    4 
     2version="$Id$";
     3category="??";
    54
    65info="

  • Singular/LIB/linalg.lib

    r0cfbf94 r66d68c  
    1 //GMG last modified: 04/25/2000
    21//////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/mprimdec.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 ///////////////////////////////////////////////////////////////////////////////
    3 // mprimdec.lib
    4 // algorithms for primary decomposition for modules based on
    5 // the algorithms of Gianni, Trager and Zacharias and
    6 // Shimoyama and Yokoyama (generalization of the latter
    7 // suggested by Hans-Gert Graebe, Leipzig  )
    8 // using elments of primdec.lib
    9 // written by Alexander Dreyer
    10 //
    11 // $Log: not supported by cvs2svn $
    12 // Revision 1.6  2006/07/25 17:54:27  Singular
    13 // *hannes: Michael C.
    14 //
    15 // Revision 1.5  2005/04/28 09:22:17  Singular
    16 // *hannes/lossen: new ring.lib
    17 //
    18 // Revision 1.4  2001/08/27 14:47:54  Singular
    19 // *hannes: merge-2-0-2
    20 //
    21 // Revision 1.3  2001/07/10 11:49:19  dreyer
    22 // + changed commands factor to factorize(...,2), idealsEqual to modulesEqual
    23 //   minAssPrimes to minAssGTZ;  minAssChar;
    24 //
    25 //
    261///////////////////////////////////////////////////////////////////////////////
    272
    … …  
    327LIBRARY: mprimdec.lib   PROCEDURES FOR PRIMARY DECOMPOSITION OF MODULES
    338AUTHORS:  Alexander Dreyer, dreyer@mathematik.uni-kl.de; adreyer@web.de
     9
     10OVERVIEW:
     11 Algorithms for primary decomposition for modules based on
     12 the algorithms of Gianni, Trager and Zacharias and
     13 Shimoyama and Yokoyama (generalization of the latter
     14 suggested by Hans-Gert Graebe, Leipzig  )
     15 using elments of primdec.lib
    3416
    3517REMARK:

  • Singular/LIB/mregular.lib

    r0cfbf94 r66d68c  
    1 // IB/PG/GMG, last modified:  15.10.2004
    21//////////////////////////////////////////////////////////////////////////////
    32version = "$Id$";

  • Singular/LIB/ncall.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/noether.lib

    r0cfbf94 r66d68c  
    1 // AH last modified:  01.07.2007
    21//////////////////////////////////////////////////////////////////////////////
    32version = "$Id$";

  • Singular/LIB/ntsolve.lib

    r0cfbf94 r66d68c  
    1 //(GMG, last modified 16.12.00)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/presolve.lib

    r0cfbf94 r66d68c  
    1 ///////////////////////////////////////////////////////////////////////////////
    2 //changed GMG 20.5.09: degreepart, linearpart, elimpart
    31///////////////////////////////////////////////////////////////////////////////
    42version="$Id$";

  • Singular/LIB/primitiv.lib

    r0cfbf94 r66d68c  
    1 // last change ML: 12.08.99
    21///////////////////////////////////////////////////////////////////////////////
    3 // This library is for Singular 1.2 or newer
    42
    53version="$Id$";

  • Singular/LIB/random.lib

    r0cfbf94 r66d68c  
    1 //(GMG/BM, last modified 22.06.96)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/redcgs.lib

    r0cfbf94 r66d68c  
    44info="
    55LIBRARY:  redcgs.lib      Reduced Comprehensive Groebner Systems.
    6 PURPOSE:  Comprehensive Groebner Systems. Canonical Forms.
     6
     7OVERVIEW:
     8          Comprehensive Groebner Systems. Canonical Forms.
    79          The library contains Monte's algorithms to compute disjoint, reduced
    810          Comprehensive Groebner Systems (CGS). A CGS is a set of pairs of

  • Singular/LIB/resjung.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Algebraic Geometry";

  • Singular/LIB/resolve.lib

    r0cfbf94 r66d68c  
    88@*        G. Pfister,           pfister@mathematik.uni-kl.de
    99
    10 REFERENCES: 
     10REFERENCES:
    1111[1] J.Kollar: Lectures on Resolution of Singularities, Princeton University Press (2007)
    1212@*  (contains large overview over various known methods for curves and surfaces as well as
    1313@*   a detailed description of the approach in the general case)
    14 [2] A.Bravo, S.Encinas, O.Villamayor: A Simplified Proof of Desingularisation and 
     14[2] A.Bravo, S.Encinas, O.Villamayor: A Simplified Proof of Desingularisation and
    1515@*  Applications, Rev. Math. Iberoamericana 21 (2005), 349-458
    1616@*  (description of the algorithmic proof of desingularization in characteristic zero
    1717@*  which underlies this implementation)
    18 [3] A.Fruehbis-Krueger: Computational Aspects of Singularities, in J.-P. Brasselet, 
    19 @*  J.Damon et al.: Singularities in Geometry and Topology, World Scientific 
     18[3] A.Fruehbis-Krueger: Computational Aspects of Singularities, in J.-P. Brasselet,
     19@*  J.Damon et al.: Singularities in Geometry and Topology, World Scientific
    2020@*  Publishing, 253--327 (2007)
    2121@*  (chapter 4 contains a detailed discussion on algorithmic desingularization and

  • Singular/LIB/reszeta.lib

    r0cfbf94 r66d68c  
    1 //////////////////////////////////////////////////////////////////////////////
     1/////////////////////////////////////////////////////////////////////////////
    22version="$Id$";
    33category="Algebraic Geometry";
    … …  
    1010
    1111REFERENCES:
    12 [1] Fruehbis-Krueger,A., Pfister,G.: Some Applications of Resolution of 
    13 @*  Singularities from a Practical Point of View, in Computational 
     12[1] Fruehbis-Krueger,A., Pfister,G.: Some Applications of Resolution of
     13@*  Singularities from a Practical Point of View, in Computational
    1414@*  Commutative and Non-commutative Algebraic Geometry,
    1515@*  NATO Science Series III, Computer and Systems Sciences 196, 104-117 (2005)
    16 [2] Fruehbis-Krueger: An Application of Resolution of Singularities: 
    17 @*  Computing the topological Zeta-function of isolated surface singularities 
     16[2] Fruehbis-Krueger: An Application of Resolution of Singularities:
     17@*  Computing the topological Zeta-function of isolated surface singularities
    1818@*  in (C^3,0),  in D.Cheniot, N.Dutertre et al.(Editors): Singularity Theory, @*  World Scientific Publishing (2007)
    1919

  • Singular/LIB/ringgb.lib

    r0cfbf94 r66d68c  
    1 // Singular-library
    21///////////////////////////////////////////////////////////////////////////////
    3 // version string automatically expanded by CVS
    42version="$Id$";
    53category="Miscellaneous";

  • Singular/LIB/rinvar.lib

    r0cfbf94 r66d68c  
    1 // Last change 10.12.2000 (TB)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/rootsmr.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 // E. Tobis  12.Nov.2004, April 2004
    3 // last change 7. May 2005 (G.-M. Greuel)
    4 ///////////////////////////////////////////////////////////////////////////////
    5 category="Teaching"
     1///////////////////////////////////////////////////////////////////////////////
     2version="$Id$";
     3category="Teaching";
    64info="
    75LIBRARY: rootsmr.lib Counting the number of real roots of polynomial systems

  • Singular/LIB/rootsur.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 // E. Tobis  12.Nov.2004, April 2004
    3 // last change 5. May 2005 (G.-M. Greuel)
    4 ///////////////////////////////////////////////////////////////////////////////
    5 category="Teaching"
     1///////////////////////////////////////////////////////////////////////////////
     2version="$Id$";
     3category="Teaching";
    64info="
    75LIBRARY: rootsur.lib   Counting number of real roots of univariate polynomial

  • Singular/LIB/signcond.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 // E. Tobis  12.Nov.2004
    3 // last change 5. May 2005 (G.-M. Greuel)
    4 ///////////////////////////////////////////////////////////////////////////////
    5 category="Symbolic-numerical solving"
     1///////////////////////////////////////////////////////////////////////////////
     2version="$Id$";
     3category="Symbolic-numerical solving";
    64info="
    75LIBRARY: signcond.lib Routines for computing realizable sign conditions

  • Singular/LIB/spcurve.lib

    r0cfbf94 r66d68c  
    1 // (anne, last modified 31.5.99)
    21/////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/standard.lib

    r0cfbf94 r66d68c  
    1 //////////////////////////////////////////////////////////////////////////////
    2 //major revision Jan/Feb. 2007, GMG (groebner with several options)
    3 //Change of default methods in groebner (June 2008, GMG)
    4 //stdhilb can be called with std or slimgb (Jan 2008, GMG)
    5 //### Todo: im lokalen Fall die Hilbert-Samuel Funktion verwenden
    61//////////////////////////////////////////////////////////////////////////////
    72version="$Id$";

  • Singular/LIB/stratify.lib

    r0cfbf94 r66d68c  
    1 // (anne, last modified 23.5.00) last modified: 12.12.2000
    21/////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/surf.lib

    r0cfbf94 r66d68c  
    1 // last modified 21.07.2005, Oliver Wienand
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/surfex.lib

    r0cfbf94 r66d68c  
    1 //last change: 2007/07/06 (Oliver Labs)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/swalk.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Commutative Algebra";

  • Singular/LIB/teachstd.lib

    r0cfbf94 r66d68c  
    1 // $Id:
    2 //GMG, last modified 28.9.01
    31///////////////////////////////////////////////////////////////////////////////
    42version="$Id$";

  • Singular/LIB/template.lib

    r0cfbf94 r66d68c  
    11////////////////////////////////////////////////////////////////////
    2 // version string automatically expanded by CVS
    3 
    42version="$Id$";
    53category="Miscellaneous";

  • Singular/LIB/triang.lib

    r0cfbf94 r66d68c  
    1 //last change: 13.02.2001 (Eric Westenberger)
    21//////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/tropical.lib

    r0cfbf94 r66d68c  
     1//
    12version="$Id$";
    23category="Tropical Geometry";

  • Singular/LIB/tst.lib

    r0cfbf94 r66d68c  
    1 // $Id$
    2 //(obachman, last modified 6/30/98)
    31/////////////////////////////////////////////////////////////////////////////
    42

  • Singular/LIB/weierstr.lib

    r0cfbf94 r66d68c  
    1 //GMG, last modified 28.10.2001
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";

  • Singular/LIB/zeroset.lib

    r0cfbf94 r66d68c  
    1 // Last change 12.02.2001 (Eric Westenberger)
    21///////////////////////////////////////////////////////////////////////////////
    32version="$Id$";
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