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

From ApCoCoAWiki

(Added parameter and return value list.) |
m (insert version info) |
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+ | {{Version|1}} | ||

<command> | <command> | ||

− | + | <title>BBF.RetrieveVPolysWithTermInSupport</title> | |

− | + | <short_description>Retrieves polynomials with specific support term from <tt>V</tt>.</short_description> | |

+ | |||

<syntax> | <syntax> | ||

BBF.RetrieveVPolysWithTermInSupport(T:POLY):LIST | BBF.RetrieveVPolysWithTermInSupport(T:POLY):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 all polynomials from <tt>V</tt> that have the term <tt>T</tt> in their support. | ||

<itemize> | <itemize> | ||

− | <item>@param <em>T</em> All polynomials in V with this term in their support will be | + | <item>@param <em>T</em> All polynomials in <tt>V</tt> with this term in their support will be retrieved.</item> |

− | <item>@return List of polynomials of set V.</item> | + | <item>@return List of polynomials of set <tt>V</tt>.</item> |

</itemize> | </itemize> | ||

<example> | <example> | ||

− | Use | + | Use ZZ/(32003)[x, y, z],DegLex; |

I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | I:=Ideal(-4*x^2 + 1, -4*y^2 - 1, 5*z^2); | ||

BBF.Init(I); | BBF.Init(I); | ||

Line 23: | Line 27: | ||

[x^2z - 8001z, y^2z + 8001z] | [x^2z - 8001z, y^2z + 8001z] | ||

</example> | </example> | ||

− | </ | + | </description> |

− | <see> | + | <types> |

− | + | <type>poly</type> | |

− | + | <type>polynomial</type> | |

− | + | <type>borderbasis</type> | |

− | + | </types> | |

+ | <see>ApCoCoA-1:BBF.Explanation of BBF variables and structures|BBF.Explanation of BBF variables and structures</see> | ||

+ | <see>ApCoCoA-1:BBF.RetrieveV|BBF.RetrieveV</see> | ||

+ | <see>ApCoCoA-1:BBF.RetrieveVLTs|BBF.RetrieveVLTs</see> | ||

+ | <key>RetrieveVPolysWithTermInSupport</key> | ||

+ | <key>BBF.RetrieveVPolysWithTermInSupport</key> | ||

+ | <wiki-category>ApCoCoA-1:Package_bbf</wiki-category> | ||

</command> | </command> |

## Latest revision as of 09:48, 7 October 2020

This article is about a function from ApCoCoA-1. |

## BBF.RetrieveVPolysWithTermInSupport

Retrieves polynomials with specific support term from `V`.

### Syntax

BBF.RetrieveVPolysWithTermInSupport(T:POLY):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 all polynomials from `V` that have the term `T` in their support.

@param

*T*All polynomials in`V`with this term in their support will be retrieved.@return List of 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.RetrieveVPolysWithTermInSupport(z); Output: [x^2z - 8001z, y^2z + 8001z]

BBF.Explanation of BBF variables and structures