Difference between revisions of "ApCoCoA-1:Num.IsAppBB"
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| − | <command> | + | {{Version|1}} |
| + | <command> | ||
<title>Num.IsAppBB</title> | <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:LIST, OI:LIST, Epsilon:RAT):RAT | + | 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> | <itemize> | ||
<item>@param <em>Polys</em> A list of polynomials.</item> | <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>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 which specifies how close the | + | <item>@return A number which specifies how close the given polynomials are to an exact border basis</item> |
</itemize> | </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 28: | 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>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
