ApCoCoA-1:BBF.RetrieveVLTs: Difference between revisions
From ApCoCoAWiki
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<command> | <command> | ||
<title>BBF.RetrieveVLTs</title> | |||
<short_description>Retrieve leading terms of polynomials of V.</short_description> | |||
<syntax> | <syntax>BBF.RetrieveVLTs():LIST | ||
BBF.RetrieveVLTs():LIST | BBF.RetrieveVLTs(Degree:INT):LIST</syntax> | ||
BBF.RetrieveVLTs(Degree:INT):LIST | <description> | ||
</syntax> | |||
<em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them. | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoABBFServer</em>. You will have to start the ApCoCoABBFServer in order to use it/them. | ||
<par/> | <par/> | ||
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[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2] | [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2] | ||
</example> | </example> | ||
<example> | <example> | ||
Use ZZ/(32003)[x, y, z],DegLex; | Use ZZ/(32003)[x, y, z],DegLex; | ||
| Line 37: | Line 34: | ||
[x^2y, x^2z, xy^2, xz^2, y^2z, yz^2] | [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2] | ||
</example> | </example> | ||
</description> | |||
<types> | <types> | ||
<type>int</type> | <type>int</type> | ||
<type>integer</type> | <type>integer</type> | ||
</types> | </types> | ||
<see>BBF.Explanation of BBF variables and structures</see> | |||
<see>BBF.RetrieveV</see> | |||
<see>BBF.RetrieveVPolysWithTermInSupport</see> | |||
<key>RetrieveVLTs</key> | |||
<key>BBF.RetrieveVLTs</key> | |||
<wiki-category>Package_bbf</wiki-category> | |||
</command> | </command> | ||
Revision as of 15:56, 23 April 2009
BBF.RetrieveVLTs
Retrieve leading terms of polynomials of V.
Syntax
BBF.RetrieveVLTs():LIST BBF.RetrieveVLTs(Degree:INT):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoABBFServer. You will have to start the ApCoCoABBFServer in order to use it/them.
The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter Degree >= 0 retrieves the leading terms of degree Degree of the polynomials of V.
@param Degree Retrieve the leading terms of degree Degree from the polynomials of set V.
@return List of leading terms from polynomials of set V.
Example
Use ZZ/(32003)[x, y, z],DegLex; I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); BBF.Init(I); BBF.Steps(20); -- After computation has finished: BBF.RetrieveVLTs(); Output: [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2, x^2, y^2, z^2]
Example
Use ZZ/(32003)[x, y, z],DegLex; I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); BBF.Init(I); BBF.Steps(20); -- After computation has finished: BBF.RetrieveVLTs(3); Output: [x^2y, x^2z, xy^2, xz^2, y^2z, yz^2]
BBF.Explanation of BBF variables and structures
BBF.RetrieveVPolysWithTermInSupport
