# Difference between revisions of "ApCoCoA-1:BBF.RetrieveVLTs"

From ApCoCoAWiki

(Initial version) |
(Corrected syntax and description.) |
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<short_description>Retrieve leading terms of polynomials of V.</short_description> | <short_description>Retrieve leading terms of polynomials of V.</short_description> | ||

<syntax> | <syntax> | ||

− | BBF. | + | BBF.RetrieveVLTs():LIST |

+ | BBF.RetrieveVLTs(Degree:INT):LIST | ||

</syntax> | </syntax> | ||

<description> | <description> | ||

− | 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 <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer. | + | The first function without parameter retrieves the leading terms of the polynomials of V from the ApCoCoABBFServer. The second function with parameter <tt>Degree</tt> >= 0 retrieves the leading terms of degree <tt>Degree</tt> of the polynomials of V. Please note that in order to use this function you have to start the ApCoCoABBFServer. |

<example> | <example> | ||

Use Z/(32003)[x, y, z],DegLex; | Use Z/(32003)[x, y, z],DegLex; |

## Revision as of 15:50, 27 March 2009

## BBF.RetrieveVLTs

Retrieve leading terms of polynomials of V.

### Syntax

BBF.RetrieveVLTs():LIST BBF.RetrieveVLTs(Degree:INT):LIST

### Description

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. Please note that in order to use this function you have to start the ApCoCoABBFServer.

#### Example

Use Z/(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 Z/(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]

Border Basis Framework overview

BBF.RetrieveVPolysWithTermInSupport