Difference between revisions of "ApCoCoA-1:BBF.RetrieveBorderBasis"
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| + | {{Version|1}} | ||
<command> | <command> | ||
| − | + | <title>BBF.RetrieveBorderBasis</title> | |
| − | + | <short_description>Retrieves a 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. | |
| + | <par/> | ||
| + | This command retrieves the computed border basis from the ApCoCoABBFServer. | ||
| + | |||
| + | <itemize> | ||
| + | <item>@return List of border basis polynomials.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
| − | Use | + | Use ZZ/(32003)[x, y, z],DegLex; |
| − | I:=Ideal(-4*x^2, -4*y^2, 5*z^2); | + | I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); |
BBF.Init(I); | BBF.Init(I); | ||
BBF.Finish(); | BBF.Finish(); | ||
| Line 16: | Line 24: | ||
Output: | Output: | ||
| − | [z^2, y^2, x^2, yz^2, y^2z, xz^2, xy^2, x^2z, x^2y, xyz^2, xy^2z, x^2yz] | + | [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>ApCoCoA-1:BBF.RetrieveBorderBasisLTs|BBF.RetrieveBorderBasisLTs</see> | |
| − | + | <see>ApCoCoA-1:BBF.RetrieveBorderBasisPolyByLT|BBF.RetrieveBorderBasisPolyByLT</see> | |
| − | + | <see>ApCoCoA-1:BB.BBasis|BB.BBasis</see> | |
| − | < | + | <types> |
| − | + | <type>borderbasis</type> | |
| − | + | </types> | |
| + | <key>RetrieveBorderBasis</key> | ||
| + | <key>BBF.RetrieveBorderBasis</key> | ||
| + | <wiki-category>ApCoCoA-1:Package_bbf</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 09:47, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BBF.RetrieveBorderBasis
Retrieves a 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.
This command retrieves 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
