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

From ApCoCoAWiki
(Added ApCoCoAServer note)
(Updated description)
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<command>  
 
<command>  
 
   <title>LinSyz.BettyNumbers</title>
 
   <title>LinSyz.BettyNumbers</title>
     <short_description>computing the Betty Numbers for a Module, generated by linear forms</short_description>
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     <short_description>compute Betty numbers of module gen. by linear forms</short_description>
 
<syntax>
 
<syntax>
$linsyz.BettyNumbers(Module):List
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LinSyz.BettyNumbers(M:MODULE):LIST
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
 
{{ApCoCoAServer}}
 
{{ApCoCoAServer}}
  
This command computes all 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 make the system homogeneous first via introducing a new indeterminate.
+
This command computes all Betty numbers 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.
  
 
The first indeterminate returned contains the number of generators, such that this command does not produce conflicts with LinSyz.Resolution, which returns the interreduced generators first.
 
The first indeterminate returned contains the number of generators, such that this command does not produce conflicts with LinSyz.Resolution, which returns the interreduced generators first.

Revision as of 10:57, 9 December 2008

LinSyz.BettyNumbers

compute Betty numbers of module gen. by linear forms

Syntax

LinSyz.BettyNumbers(M:MODULE):LIST

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 all Betty numbers 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.

The first indeterminate returned contains the number of generators, such that this command does not produce conflicts with LinSyz.Resolution, which returns the interreduced generators first.

See also

LinSyz.BettyNumber

LinSyz.Resolution

LinSyz.SyzModule