Difference between revisions of "ApCoCoA-1:Num.IsAppBB"

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     <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>
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     <seealso>
 
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       <see>Introduction to CoCoAServer</see>
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       <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see>
 
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     <key>numerical.isappbb</key>
 
     <key>numerical.isappbb</key>
     <wiki-category>Package_numerical</wiki-category>
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     <wiki-category>ApCoCoA-1:Package_numerical</wiki-category>
 
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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

Introduction to CoCoAServer