Difference between revisions of "ApCoCoA-1:CharP.XLSolve"
From ApCoCoAWiki
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<short_description>Computing the unique <tt>F_2-</tt>rational solution of a given polynomial system over <tt>F_2</tt>.</short_description> | <short_description>Computing the unique <tt>F_2-</tt>rational solution of a given polynomial system over <tt>F_2</tt>.</short_description> | ||
<syntax> | <syntax> | ||
| − | Char2. | + | Char2.XLSolve(F:LIST):LIST |
</syntax> | </syntax> | ||
<description> | <description> | ||
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | ||
<par/> | <par/> | ||
| − | This command computes a | + | This command computes the unique <tt>F_2-</tt>rational solution of a polynomial system over <tt>F_2 = Z/(2)</tt>. |
<itemize> | <itemize> | ||
| − | <item>@param <em> | + | <item>@param <em>F</em> A system of polynomial equations over <tt>F_2</tt> having a unique solution. </item> |
| − | <item>@return The | + | <item>@return The unique solution of the given system in <tt>F_2</tt>. </item> |
</itemize> | </itemize> | ||
Revision as of 14:57, 6 December 2010
Char2.GBasisF2
Computing the unique F_2-rational solution of a given polynomial system over F_2.
Syntax
Char2.XLSolve(F:LIST):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This command computes the unique F_2-rational solution of a polynomial system over F_2 = Z/(2).
@param F A system of polynomial equations over F_2 having a unique solution.
@return The unique solution of the given system in F_2.
Example
Use R::=QQ[x,y,z]; I:=Ideal(x-y^2,x^2+xy,y^3); GBasis(I); [x^2 + xy, -y^2 + x, -xy] ------------------------------- Use Z::=ZZ[x,y,z]; -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- I:=Ideal(x-y^2,x^2+xy,y^3); Char2.GBasisF2(I); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [y^2 + x, x^2, xy] -------------------------------
See also
Introduction to Groebner Basis in CoCoA
Representation of finite fields
