Difference between revisions of "GroebnerLex Command"
From GeoGebra Manual
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| + | ==CAS Syntax== | ||
;GroebnerLex[ <List of Polynomials> ]: Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the variables (also known as ''lex'', ''plex'' or ''pure lexical'' ordering). | ;GroebnerLex[ <List of Polynomials> ]: Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the variables (also known as ''lex'', ''plex'' or ''pure lexical'' ordering). | ||
:{{example| 1=<div><code><nowiki>GroebnerLex[{x^3-y-2,x^2+y+1}]</nowiki></code> yields {<math> y^{3} + 4 y^{2} + 7 y + 5, x - y^{2} - 3 y - 3 </math>}.</div>}} | :{{example| 1=<div><code><nowiki>GroebnerLex[{x^3-y-2,x^2+y+1}]</nowiki></code> yields {<math> y^{3} + 4 y^{2} + 7 y + 5, x - y^{2} - 3 y - 3 </math>}.</div>}} | ||
Revision as of 09:01, 22 August 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
CAS Syntax
- GroebnerLex[ <List of Polynomials> ]
- Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the variables (also known as lex, plex or pure lexical ordering).
- Example:
GroebnerLex[{x^3-y-2,x^2+y+1}]yields { y^{3} + 4 y^{2} + 7 y + 5, x - y^{2} - 3 y - 3 }.
- GroebnerLex[ <List of Polynomials>, <List of Variables> ]
- Computes the Gröbner basis of the list of the polynomials with respect to lexicographical ordering of the given variables (also known as lex, plex or pure lexical ordering).
- Example:
GroebnerLex[{x^3-y-2,x^2+y+1},{y,x}]yields { -x^{3} - x^{2} + 1, -y - x^{2} - 1 }.
Note: See also GroebnerDegRevLex and GroebnerLexDeg commands.
