Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasis"
From ApCoCoAWiki
(Example section update.) |
(Description update.) |
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<command> | <command> | ||
− | + | <title>BBF.RetrieveBorderBasis</title> | |
− | + | <short_description>Retrieve computed border basis.</short_description> | |
− | <syntax> | + | <syntax> |
− | BBF.RetrieveBorderBasis():LIST | + | BBF.RetrieveBorderBasis():LIST |
− | </syntax> | + | </syntax> |
− | + | <description> | |
<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/> | ||
Retrieve the computed border basis from the ApCoCoABBFServer. | Retrieve the computed border basis from the ApCoCoABBFServer. | ||
+ | |||
<itemize> | <itemize> | ||
<item>@return List of border basis polynomials.</item> | <item>@return List of border basis polynomials.</item> | ||
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[z^2, y^2 + 8001, x^2 - 8001, yz^2, y^2z + 8001z, xz^2, xy^2 + 8001x, x^2z - 8001z, x^2y - 8001y, xyz^2, xy^2z + 8001xz, x^2yz - 8001yz] | [z^2, y^2 + 8001, x^2 - 8001, yz^2, y^2z + 8001z, xz^2, xy^2 + 8001x, x^2z - 8001z, x^2y - 8001y, xyz^2, xy^2z + 8001xz, x^2yz - 8001yz] | ||
</example> | </example> | ||
− | + | </description> | |
− | + | <see>BBF.RetrieveBorderBasisLTs</see> | |
− | + | <see>BBF.RetrieveBorderBasisPolyByLT</see> | |
− | + | <see>BB.BBasis</see> | |
− | + | <key>RetrieveBorderBasis</key> | |
− | + | <key>BBF.RetrieveBorderBasis</key> | |
− | + | <wiki-category>Package_bbf</wiki-category> | |
</command> | </command> |
Revision as of 15:46, 23 April 2009
BBF.RetrieveBorderBasis
Retrieve computed border basis.
Syntax
BBF.RetrieveBorderBasis():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.
Retrieve the computed border basis from the ApCoCoABBFServer.
@return List of border basis polynomials.
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.Finish(); -- After computation has finished: BBF.RetrieveBorderBasis(); Output: [z^2, y^2 + 8001, x^2 - 8001, yz^2, y^2z + 8001z, xz^2, xy^2 + 8001x, x^2z - 8001z, x^2y - 8001y, xyz^2, xy^2z + 8001xz, x^2yz - 8001yz]
BBF.RetrieveBorderBasisPolyByLT