Changeset efdded in git for Singular/LIB/tropical.lib


Ignore:
Timestamp:
Apr 8, 2009, 2:42:19 PM (15 years ago)
Author:
Frank Seelisch <seelisch@…>
Branches:
(u'spielwiese', '4a9821a93ffdc22a6696668bd4f6b8c9de3e6c5f')
Children:
7e96fe079ce8711823d420d4b4ba8e959e156a77
Parents:
a7fcfab933710ef29f9ec64b1ac3f03f602e0edc
Message:
renamed exported variable names


git-svn-id: file:///usr/local/Singular/svn/trunk@11645 2c84dea3-7e68-4137-9b89-c4e89433aadc
File:
1 edited

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  • Singular/LIB/tropical.lib

    ra7fcfab refdded  
    1 version="$Id: tropical.lib,v 1.13 2009-04-07 16:18:06 seelisch Exp $";
     1version="$Id: tropical.lib,v 1.14 2009-04-08 12:42:19 seelisch Exp $";
    22category="Tropical Geometry";
    33info="
     
    2323  point x in (K*)^n to the point (x^v0,...,x^vm).
    2424  The generic hyperplane sections are just the images of the hypersurfaces
    25   in (K*)^n defined by the polynomials f=a0*x^v0+...+am*x^vm=0. Some properties 
     25  in (K*)^n defined by the polynomials f=a0*x^v0+...+am*x^vm=0. Some properties
    2626  of these hypersurfaces can be studied via tropicalisation.
    2727
     
    3232  trop(f)=min{val(a0)+<v0,x>,...,val(am)+<vm,x>}.
    3333  Here, <v,x> denotes the standard scalar product of the integer vector v in Z^n
    34   with the vector x=(x1,...,xn) of variables, so that trop(f) is a piecewise 
     34  with the vector x=(x1,...,xn) of variables, so that trop(f) is a piecewise
    3535  linear function on R^n. The corner locus of this function (i.e. the points
    3636  at which the minimum is attained a least twice) is the tropical hypersurface
     
    9292PROCEDURES FOR DRAWING TROPICAL CURVES:
    9393  tropicalCurve            computes a tropical curve and its Newton subdivision
    94   drawTropicalCurve        produces a post script image of a tropical curve 
     94  drawTropicalCurve        produces a post script image of a tropical curve
    9595  drawNewtonSubdivision    produces a post script image of a Newton subdivision
    9696
     
    21312131NOTE:        if # is empty, then the valuation of t will be 1,
    21322132@*           if # is the string 'max' it will be -1;
    2133 @*           the latter supposes that we consider the maximum of the the
     2133@*           the latter supposes that we consider the maximum of the
    21342134             computed linear forms, the former that we consider their minimum
    21352135EXAMPLE:     example tropicalise;   shows an example"
     
    36133613      else
    36143614      {
    3615         ergl[j1]=0; //if the variable belongs not the the d biggest ones,
     3615        ergl[j1]=0; //if the variable is not among the d biggest ones,
    36163616                    //save 0 in the list
    36173617        erglini[j1]=0;
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