Difference between revisions of "GroebnerLexDeg Command"
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==CAS Syntax== | ==CAS Syntax== | ||
Revision as of 11:11, 29 July 2015
CAS Syntax
- GroebnerLexDeg[ <List of Polynomials> ]
- Computes the Gröbner basis of the list of the polynomials with respect to graded lexicographical ordering of the variables (also known as grlex, tdeg, lexdeg, total degree lexicographic ordering or elimination ordering).
- Example:
GroebnerLexDeg[{x^3 - y - 2, x^2 + y + 1}]yields { -y^{2} + x - 3 y - 3, -x y - x - y - 2, x^{2} + y + 1}.
- GroebnerLexDeg[ <List of Polynomials>, <List of Variables> ]
- Computes the Gröbner basis of the list of the polynomials with respect to graded lexicographical ordering of the given variables (also known as grlex, tdeg, lexdeg, total degree lexicographic ordering or elimination ordering).
- Example:
GroebnerLexDeg[{x^3 - y -2, x^2 + y + 1},{y, x}]yields { x^{2} + y + 1, -y x - y - x - 2, y^{2} + 3 y - x + 3 }.
Note: See also GroebnerDegRevLex and GroebnerLex commands.
