GroebnerLexDeg Command
From GeoGebra Manual
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- 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 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}.
- GroebnerLex[ <List of Polynomials>, <List of Variables> ]
- Computes the Gröbner basis of the list of the polynomials with respect to graded lexicographical ordering of the variables (also known as 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, GroebnerLex commands.