Difference between revisions of "ApCoCoA-1:Num.IsAppBB"
From ApCoCoAWiki
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<short_description>Checks if a given set of polynomials is an approximate border basis.</short_description> | <short_description>Checks if a given set of polynomials is an approximate border basis.</short_description> | ||
<syntax> | <syntax> | ||
| − | Num.IsAppBB(Polys: | + | Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT; |
</syntax> | </syntax> | ||
<description> | <description> | ||
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<item>@param <em>OI</em> A list containing the order ideal.</item> | <item>@param <em>OI</em> A list containing the order ideal.</item> | ||
<item>@param <em>Epsilon</em> Rational number</item> | <item>@param <em>Epsilon</em> Rational number</item> | ||
| − | <item>@return A number | + | <item>@return A number which specifies how close the Polys are to an exact border basis</item> |
</itemize> | </itemize> | ||
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<types> | <types> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
| + | <type>polynomial</type> | ||
</types> | </types> | ||
| − | |||
<key>Num.IsAppBB</key> | <key>Num.IsAppBB</key> | ||
<key>IsAppBB</key> | <key>IsAppBB</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> | ||
Revision as of 16:42, 23 April 2009
Numerical.IsAppBB
Checks if a given set of polynomials is an approximate border basis.
Syntax
Num.IsAppBB(Polys:LIST, OI:LIST, Epsilon:RAT):RAT;
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. Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
Checks if a set of polynomials is an approximate border basis with respect to an order ideal.
@param Polys A list of polynomials.
@param OI A list containing the order ideal.
@param Epsilon Rational number
@return A number which specifies how close the Polys are to an exact border basis
Example
Res := Num.AVI([[1,1],[0,1]],0); Num.IsAppBB(Res[1],Res[2],0.1); -- CoCoAServer: computing Cpu Time = 0.031 ------------------------------- -- CoCoAServer: computing Cpu Time = 0 ------------------------------- 0 -------------------------------
See also
