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

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   <command>
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   {{Version|1}}
     <title>Numerical.ContainsLinearRelations</title>
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<command>
     <short_description>Checks if a given set of terms has still some remaining linear dependencies with respect to a set of points.</short_description>
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     <title>Num.ContainsLinearRelations</title>
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     <short_description>Checks if a given set of terms has some epsilon-linear dependencies with respect to a set of points.</short_description>
 
<syntax>
 
<syntax>
Num.ContainsLinearRelations(Points:Matrix, Terms:PolyList, Epsilon:Number):Bool];
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Num.ContainsLinearRelations(Points:MAT, Terms:LIST of POLY, Epsilon:RAT):BOOL
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
{{ApCoCoAServer}} Please also note that you will have to use an ApCoCoAServer with enabled BLAS/LAPACK support.
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<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.
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<par/>
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Checks if a given set of terms has some epsilon-linear dependencies with respect to a set of points.
  
Checks if a given set of terms has still some remaining epsilon-linear dependencies with respect to a set of points.
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<itemize>
The function returns TRUE or FALSE.
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<item>@param <em>Points</em> A matrix containing the points to check.</item>
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<item>@param <em>Terms</em> The terms to check</item>
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<item>@param <em>Epsilon</em> Threshold number</item>
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<item>@return True or False</item>
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</itemize>
  
 
<example>
 
<example>
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     </description>
 
     </description>
 
     <seealso>
 
     <seealso>
       <see>Introduction to CoCoAServer</see>
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       <see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see>
 
     </seealso>
 
     </seealso>
 
     <types>
 
     <types>
       <type>cocoaserver</type>
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       <type>apcocoaserver</type>
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      <type>points</type>
 
     </types>
 
     </types>
 
     <key>Numerical.ContainsLinearRelations</key>
 
     <key>Numerical.ContainsLinearRelations</key>
 
     <key>Num.ContainsLinearRelations</key>
 
     <key>Num.ContainsLinearRelations</key>
 
     <key>ContainsLinearRelations</key>
 
     <key>ContainsLinearRelations</key>
     <wiki-category>Package_Numerical</wiki-category>
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     <wiki-category>ApCoCoA-1:Package_numerical</wiki-category>
 
   </command>
 
   </command>

Latest revision as of 10:27, 7 October 2020

This article is about a function from ApCoCoA-1.

Num.ContainsLinearRelations

Checks if a given set of terms has some epsilon-linear dependencies with respect to a set of points.

Syntax

Num.ContainsLinearRelations(Points:MAT, Terms:LIST of POLY, Epsilon:RAT):BOOL

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.

Checks if a given set of terms has some epsilon-linear dependencies with respect to a set of points.

  • @param Points A matrix containing the points to check.

  • @param Terms The terms to check

  • @param Epsilon Threshold number

  • @return True or False

Example

Num.ContainsLinearRelations([[1,1],[2,1]],[1,x],0.9);
-- CoCoAServer: computing Cpu Time = 0
-------------------------------
TRUE
-------------------------------

See also

Introduction to CoCoAServer