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%body SINGULAR - A Computer Algebra System for Polynomial Computations Overview Objects Functionality Libraries Examples Applications Availability History Contributors Future %body

Sao Carlos, 08/02 http://www.singular.uni-kl.de
SINGULAR Examples Build. Blocks Comb. Appl. HCA Proving
Arrangements Branches Classify Coding Deformations Equidim Part Existence Finite Groups Flatness Genus Hilbert Series Membership Nonnormal Locus Normalization Primdec Puiseux Plane Curves Saturation Solving Space Curves Spectrum
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Sao Carlos, 08/02 http://www.singular.uni-kl.de
SINGULAR Applications Robotics Circuit Design Medicine Glass Melting %body

Sao Carlos, 08/02 http://www.singular.uni-kl.de
Assume we are in a Maple session and want to compute a Gröbner basis with SINGULAR of the ideal   I = < x10+x9y2, y8-x2y7 >  in characteristic 0 with the degree reverse lexicographical ordering `dp`.

Solution 1: Write the polynomials to the file `singular_input` (already in the SINGULAR language):
```  f:=x^10+x^9*y^2;
g:=y^8-x^2*y^7;

interface(prettyprint=0);
interface(echo=0);
writeto( singular_input );
lprint(`ideal I = `);
f, g ;
lprint(`;`);
writeto(terminal);
```
The resulting file looks like:
```  ideal I =
x^10+x^9*y^2, y^8-x^2*y^7
;
```
Now we can start SINGULAR , and perform the following
```  ring R=0,(x,y),dp;
< "singular_input";
short=0;         // output in Maple format
ideal J=std(I);
write(":w maple_input",J);
```
This SINGULAR session writes the computed Gröbner basis (in Maple format) to the file `maple_input`:
```x^2*y^7-y^8,x^9*y^2+x^10,x^12*y+x*y^11,x^13-x*y^12,y^14+x*y^12,
x*y^13+y^12
```

Solution 2: Apply the procedure `2Maple` which works with Maple V Release 5.

In older versions of Maple, string expression were enclosed in a pair of back quotes `` `` instead of `" "`; moreover, the nullary operator was denoted by `"` instead of `%`.

The directory EXAMPLES on the CD enclosed with the Springer Book "A SINGULAR Introduction to Commutative Algebra" contains two versions of the procedure -- one for Maple V Release 5 and one for Maple V Release 3 (with the old syntax).