Changeset a81e0b7 in git

Timestamp:

Mar 16, 2009, 12:32:31 PM (14 years ago)

Author:

Thomas Markwig <keilen@…>

Branches:

(u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'a800fe4b3e9d37a38c5a10cc0ae9dfa0c15a4ee6')

Children:

e84f07da8f2670e970ff0e6ab0976ebcb34fc091

Parents:

24ac6662afb3eee19ffb69cec527d7c648d2e413

Message:

Einige Hilfstexte verbessert.


git-svn-id: file:///usr/local/Singular/svn/trunk@11560 2c84dea3-7e68-4137-9b89-c4e89433aadc

File:

• Singular/LIB/tropical.lib (modified) (7 diffs)

Singular/LIB/tropical.lib

@@ -1 @@
-version="$Id: tropical.lib,v 1.10 2009-01-14 16:07:05 Singular Exp $";
+version="$Id: tropical.lib,v 1.11 2009-03-16 11:32:31 keilen Exp $";
 category="Tropical Geometry";
 info="
@@ -45 +45 @@
      Moreover, in Singular no negative exponents of monomials are allowed, so that the integer vectors
      vi will have to have non-negative entries. Shifting all exponents by a fixed integer vector does not
-     change the tropicalisation nor does it change the toric variety. Thus this does not cause any restriction.
+     change the tropicalisation nor does it change the toric variety. 
+     Thus this does not cause any restriction.
      If, however, for some reason you prefer to work with general vi, then you have to pass right away to
      the tropicalisation of the equations, whereever this is allowed -- these are linear polynomials
@@ -1602 +1603 @@
 
 proc weierstrassForm (poly f,list #)
-"USAGE:      weierstrassFormOfACubic(wf[,#]); wf poly, # list
+"USAGE:      weierstrassForm(wf[,#]); wf poly, # list
 ASSUME:      wf is a a polynomial whose Newton polygon has precisely one interior lattice
              point, so that it defines an elliptic curve on the toric surface corresponding
              to the Newton polygon
-RETURN:      poly, the Weierstrass normal form of the polygon
-NOTE:        - the algorithm for the coefficients of the Weierstrass form is due to
+RETURN:      poly, the Weierstrass normal form of the polynomial
+NOTE:        - the algorithm for the coefficients of the Weierstrass form is due to 
                Fernando Rodriguez Villegas, villegas@math.utexas.edu
 @*           - the characteristic of the base field should not be 2 or 3
@@ -1647 +1648 @@
    "EXAMPLE:";
    echo=2;
-   ring r=(0,t),(y,x),lp;
+   ring r=(0,t),(x,y),lp;
 // f is already in Weierstrass form
    poly f=y2+yx+3y-x3-2x2-4x-6;
@@ -1655 +1656 @@
    poly wg=weierstrassForm(g);
    wg;
-// but it is not yet a simple, since it still has an xy-term, unlike swg
+// but it is not yet simple, since it still has an xy-term, unlike swg
    poly swg=weierstrassForm(g,1);
    swg;
@@ -3949 +3950 @@
   }
   // kill the gfan files in /tmp
-  system("sh","cd /tmp; /bin/rm gfaninput; /bin/rm gfanoutput");
+  system("sh","cd /tmp; /usr/bin/touch gfaninput; /usr/bin/touch gfanoutput; /bin/rm gfaninput; /bin/rm gfanoutput");  
   // we return a list which contains the parametrisation ring (with the parametrisation ideal)
   // and the string representing the maximal ideal describing the necessary field extension
@@ -4904 +4905 @@
   }
   // kill the gfan files in /tmp
-  system("sh","cd /tmp; /bin/rm gfaninput; /bin/rm gfanoutput");
+  system("sh","cd /tmp; /usr/bin/touch gfaninput; /usr/bin/touch gfanoutput; /bin/rm gfaninput; /bin/rm gfanoutput");  
   // we return a list which contains lists of the parametrisation rings (with the parametrisation ideal)
   // and an integer N such that t should be replaced by t^1/N