Difference between revisions of "GroebnerDegRevLex Command"
From GeoGebra Manual
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| + | ==CAS Syntax== | ||
;GroebnerDegRevLex[ <List of Polynomials> ]: Computes the Gröbner basis of the list of the polynomials with respect to graded reverse lexicographical ordering of the variables (also known as ''total degree reverse lexicographic ordering'', ''degrevlex'' or ''grevlex'' ordering). | ;GroebnerDegRevLex[ <List of Polynomials> ]: Computes the Gröbner basis of the list of the polynomials with respect to graded reverse lexicographical ordering of the variables (also known as ''total degree reverse lexicographic ordering'', ''degrevlex'' or ''grevlex'' ordering). | ||
:{{example| 1=<div><code><nowiki>GroebnerDegRevLex[{x^3 - y - 2, x^2 + y + 1}]</nowiki></code> yields {<math> y^{2} - x + 3 y + 3, x y + x + y + 2, x^{2} + y + 1 </math>}.</div>}} | :{{example| 1=<div><code><nowiki>GroebnerDegRevLex[{x^3 - y - 2, x^2 + y + 1}]</nowiki></code> yields {<math> y^{2} - x + 3 y + 3, x y + x + y + 2, x^{2} + y + 1 </math>}.</div>}} | ||
Revision as of 09:00, 22 August 2014
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This page is about a feature that is supported only in GeoGebra 5.0. |
CAS Syntax
- GroebnerDegRevLex[ <List of Polynomials> ]
- Computes the Gröbner basis of the list of the polynomials with respect to graded reverse lexicographical ordering of the variables (also known as total degree reverse lexicographic ordering, degrevlex or grevlex ordering).
- Example:
GroebnerDegRevLex[{x^3 - y - 2, x^2 + y + 1}]yields { y^{2} - x + 3 y + 3, x y + x + y + 2, x^{2} + y + 1 }.
- GroebnerDegRevLex[ <List of Polynomials>, <List of Variables> ]
- Computes the Gröbner basis of the list of the polynomials with respect to graded reverse lexicographical ordering of the given variables (also known as total degree reverse lexicographic ordering, degrevlex or grevlex ordering).
- Example:
GroebnerDegRevLex[{x^3 - y - 2, x^2 + y + 1}, {y, x}]yields { x^{2} - y, y \; x - x, y^{2} - y }.
Note: See also GroebnerLex and GroebnerLexDeg commands.
