Difference between revisions of "ApCoCoA-1:LinSyz.BettyNumber"

From ApCoCoAWiki
(Updated description)
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<command>  
 
<command>  
 
   <title>LinSyz.BettyNumber</title>
 
   <title>LinSyz.BettyNumber</title>
     <short_description>compute Betty number of module gen. by linear forms</short_description>
+
     <short_description>Compute Betty number of a module generated by linear forms.</short_description>
 
<syntax>
 
<syntax>
 
LinSyz.BettyNumber(M:MODULE,N:INT):INT
 
LinSyz.BettyNumber(M:MODULE,N:INT):INT
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
{{ApCoCoAServer}}
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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.
 +
<par/>
 +
This command computes the N-th Betty number of a given module which is generated by vectors consisting of linear forms. Be aware of the fact that this is very new and may contain bugs! Also the linear forms may not have any constant component, so if your system has some, you have to homogenize the system first via introducing a new indeterminate.
  
This command computes the i-th Betty number of a given module which is generated by vectors consisting of linear forms. Be aware of the fact that this is very new and may contain bugs! Also the linear forms may not have any constant component, so if your system has some, you have to homegenize the system first via introducing a new indeterminate.
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<itemize>
 +
<item>@param <em>M</em> A module for which the N-th Betty number is computed.</item>
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<item>@param <em>N</em> Declares which Betty number will be computed.</item>
 +
</itemize>
 
     </description>
 
     </description>
 +
 
     <seealso>
 
     <seealso>
 
       <see>LinSyz.BettyNumbers</see>
 
       <see>LinSyz.BettyNumbers</see>
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   <see>LinSyz.SyzModule</see>  
 
   <see>LinSyz.SyzModule</see>  
 
   </seealso>
 
   </seealso>
     <key>heldt</key>
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 +
     <key>BettyNumber</key>
 
     <key>linsyz.BettyNumber</key>
 
     <key>linsyz.BettyNumber</key>
 
     <wiki-category>Package_linsyz</wiki-category>
 
     <wiki-category>Package_linsyz</wiki-category>
 
   </command>
 
   </command>

Revision as of 07:29, 23 April 2009

LinSyz.BettyNumber

Compute Betty number of a module generated by linear forms.

Syntax

LinSyz.BettyNumber(M:MODULE,N:INT):INT

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 computes the N-th Betty number of a given module which is generated by vectors consisting of linear forms. Be aware of the fact that this is very new and may contain bugs! Also the linear forms may not have any constant component, so if your system has some, you have to homogenize the system first via introducing a new indeterminate.

  • @param M A module for which the N-th Betty number is computed.

  • @param N Declares which Betty number will be computed.

See also

LinSyz.BettyNumbers

LinSyz.Resolution

LinSyz.SyzModule