ApCoCoA-1:Num.IsAppBB: Difference between revisions
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<command> | {{Version|1}} | ||
<title> | <command> | ||
<title>Num.IsAppBB</title> | |||
<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> | ||
<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/> | |||
This command checks if a set of polynomials is an approximate border basis with respect to an order ideal and a threshold number <tt>Epsilon</tt>. | |||
<itemize> | |||
<item>@param <em>Polys</em> A list of polynomials.</item> | |||
<item>@param <em>OI</em> A list containing the order ideal.</item> | |||
<item>@param <em>Epsilon</em> Rational number</item> | |||
<item>@return A number which specifies how close the given polynomials are to an exact border basis</item> | |||
</itemize> | |||
<example> | <example> | ||
Use P::=QQ[x,y]; | |||
Res := Num.AVI([[1,1],[0,1]],0); | Res := Num.AVI([[1,1],[0,1]],0); | ||
Num.IsAppBB(Res[1],Res[2],0.1); | Num.IsAppBB(Res[1],Res[2],0.1); | ||
| Line 22: | Line 30: | ||
</description> | </description> | ||
<seealso> | <seealso> | ||
<see>Introduction to CoCoAServer</see> | <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see> | ||
</seealso> | </seealso> | ||
<types> | <types> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
<type>polynomial</type> | |||
<type>borderbasis</type> | |||
</types> | </types> | ||
<key>Num.IsAppBB</key> | <key>Num.IsAppBB</key> | ||
<key>IsAppBB</key> | <key>IsAppBB</key> | ||
<wiki-category>Package_numerical</wiki-category> | <key>numerical.isappbb</key> | ||
<wiki-category>ApCoCoA-1:Package_numerical</wiki-category> | |||
</command> | </command> | ||
Latest revision as of 10:29, 7 October 2020
| This article is about a function from ApCoCoA-1. |
Num.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.
This command checks if a set of polynomials is an approximate border basis with respect to an order ideal and a threshold number Epsilon.
@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 given polynomials are to an exact border basis
Example
Use P::=QQ[x,y]; 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
