Difference between revisions of "Eliminate Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
− | ;Eliminate | + | ;Eliminate( <List of Polynomials>, <List of Variables> ) |
: Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list. | : Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list. | ||
:{{example| 1=<div><code><nowiki>Eliminate[{x^2 + x, y^2 - x}, {x}]</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.</div>}} | :{{example| 1=<div><code><nowiki>Eliminate[{x^2 + x, y^2 - x}, {x}]</nowiki></code> yields {<math> y^{4} + y^{2} </math>}.</div>}} | ||
{{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}} | {{Note| See also [[GroebnerLexDeg Command|GroebnerLexDeg]] command.}} |
Revision as of 17:15, 7 October 2017
CAS Syntax
- Eliminate( <List of Polynomials>, <List of Variables> )
- Considers the algebraic equation system defined by the polynomials, and computes an equivalent system after eliminating all variables in the given list.
- Example:
Eliminate[{x^2 + x, y^2 - x}, {x}]
yields { y^{4} + y^{2} }.
Note: See also GroebnerLexDeg command.