Changeset 1d06d1 in git


Ignore:
Timestamp:
Nov 23, 2015, 6:27:29 PM (8 years ago)
Author:
Hans Schoenemann <hannes@…>
Branches:
(u'spielwiese', 'fe61d9c35bf7c61f2b6cbf1b56e25e2f08d536cc')
Children:
8b9677509f933f77764c8d3fae0cc62f8c9eb23f
Parents:
86f1dc12cedc9ed8fc9f2a65d0bacf9c38c027f96ba950e5cfaadf94bd8ecc90e29bc1fe2bbc7d3a
Message:
Merge pull request #736 from YueRen/graal_lib

chg: cleanup for next Singular release
File:
1 edited

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  • Singular/LIB/graal.lib

    r86f1dc r1d06d1  
    11////////////////////////////////////////////////////////////////////////////
    2 version="version graal.lib 4.0.2.0 Apr_2015 "; // $Id$
     2version="26.03.2015";
    33category="Commutative Algebra";
    44info="
     
    1212REFERENCES:
    1313Mora, Teo: La queste del Saint Gr_a(A_L): A computational approach to local algebra
    14 Marais, Magdaleen and Ren, Yue: Mora's holy grail, algorithms for computing in localizations at prime ideals
     14Marais, Magdaleen and Ren, Yue: Mora's holy graal: Algorithms for computing in localizations at prime ideals
    1515
    1616PROCEDURES:
    1717graalMixed(ideal L);
    1818graalMixed(ideal L, int t);
    19 yinitial(poly f);
    20 yinitial(poly f, int s);
    21 yinitial(ideal I);
    22 yinitial(ideal I, int s);
    23 dimensionOfLocalization(ideal J);
    24 dimensionOfLocalization(graalBearer Gr);
    25 systemOfParametersOfLocalization(ideal L);
    26 systemOfParametersOfLocalization(graalBearer L);
    27 isLocalizationRegular(ideal L);
    28 isLocalizationRegular(graalBearer L);
     19dimensionOfLocalization(def L);
     20systemOfParametersOfLocalization(def L);
     21isLocalizationRegular(def L);
    2922warkedPreimageStd(warkedModule wM);
    30 resolutionInLocalization(ideal I, ideal L);
    31 resolutionInLocalization(ideal I, graalBearer Gr);
     23resolutionInLocalization(ideal I, def L);
    3224";
    3325
     
    116108
    117109
    118 proc yinitial(def F, list #)
    119 "
    120 USAGE:    yinitial(F,s); F polynomial or ideal, s int (optional)
    121 RETURN:   if F polynomial, returns the sum over all terms of lowest degree in Y.
    122           if F ideal, returns the yinitials of all its generators.
    123           if s is specified, assumes that there are s variables in Y, Y(1),...,Y(s).
    124 NOTE:     assumes that the Y are the first variables in the basering and,
    125           if s unspecified, that they have their own block in the ordering.
    126 EXAMPLE:  example yinitial; shows an example
    127 "
     110static proc yinitial(def F, list #)
    128111{
    129112  int s;
     
    156139    return(inF);
    157140  }
    158 }
    159 example
    160 { "EXAMPLE:"; echo = 2;
    161   // todo
    162141}
    163142
     
    774753 * normalizes g such that LT_>(g)=Y^\alpha for some \alpha\in\NN^n.
    775754 **/
    776 proc normalizeInY(vector g, graalBearer Gr, list #)
     755static proc normalizeInY(vector g, graalBearer Gr, list #)
    777756{
    778757  def origin = basering;
     
    12281207}
    12291208example
    1230 {
     1209{ "EXAMPLE:"; echo = 2;
    12311210  ring Q = 0,(x,y,z,w),dp;
    12321211  ideal circle = (x-1)^2+y^2-3,z;
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