Difference between revisions of "ApCoCoA-1:NC.FindPolys"
From ApCoCoAWiki
(New page: <command> <title>NC.FindPolys</title> <short_description> Find polynomials with specified indeterminates from a LIST of polynomials. </short_description> <syntax> NC.FindPolys(Alphabet:ST...) |
m (insert version info) |
||
| (6 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
<title>NC.FindPolys</title> | <title>NC.FindPolys</title> | ||
<short_description> | <short_description> | ||
| − | Find polynomials with specified indeterminates from a LIST of polynomials. | + | Find polynomials with specified indeterminates from a LIST of non-commutative polynomials. |
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
| − | NC.FindPolys( | + | NC.FindPolys(Polys:LIST, Inds:LIST):LIST |
</syntax> | </syntax> | ||
<description> | <description> | ||
| + | Please set non-commutative polynomial ring (via the command <ref>ApCoCoA-1:Use|Use</ref>) before calling this function. For more information, please check the relevant commands and functions. | ||
<itemize> | <itemize> | ||
| − | <item>@param <em> | + | <item>@param <em>Polys</em>: a LIST of non-commutative polynomials. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial <tt>f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5</tt> is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial <tt>0</tt> is represented as the empty LIST []. |
| − | + | </item> | |
| − | <item>@ | + | <item>@param <em>Inds</em>: a LIST of specified indeterminates.</item> |
| + | <item>@return: a LIST of non-commutative polynomials whose indeterminates are in Inds.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
| − | + | USE QQ[x[1..2],y[1..2]]; | |
| − | NC. | + | F1:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3]]; -- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3 |
| + | F2:= [[2x[1],x[2]^2], [x[2]^3],[4]]; -- 2x[1]x[2]^2+x[2]^3+4 | ||
| + | NC.FindPolys([F1,F2],[x[1],x[2]]); | ||
| − | [[[ | + | [[[2x[1], x[2]^2], [x[2]^3], [4]]] |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
<seealso> | <seealso> | ||
| − | <see> | + | <see>ApCoCoA-1:Use|Use</see> |
</seealso> | </seealso> | ||
<types> | <types> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
| + | <type>polynomial</type> | ||
<type>non_commutative</type> | <type>non_commutative</type> | ||
| − | |||
</types> | </types> | ||
<key>ncpoly.FindPolys</key> | <key>ncpoly.FindPolys</key> | ||
<key>NC.FindPolys</key> | <key>NC.FindPolys</key> | ||
<key>FindPolys</key> | <key>FindPolys</key> | ||
| − | <wiki-category>Package_ncpoly</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_ncpoly</wiki-category> |
</command> | </command> | ||
Latest revision as of 10:13, 7 October 2020
| This article is about a function from ApCoCoA-1. |
NC.FindPolys
Find polynomials with specified indeterminates from a LIST of non-commutative polynomials.
Syntax
NC.FindPolys(Polys:LIST, Inds:LIST):LIST
Description
Please set non-commutative polynomial ring (via the command Use) before calling this function. For more information, please check the relevant commands and functions.
@param Polys: a LIST of non-commutative polynomials. Each polynomial is represented as a LIST of LISTs, and each element in every inner LIST involves only one indeterminate or none (a constant). For example, the polynomial f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5 is represented as F:=[[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3], [5]]. The zero polynomial 0 is represented as the empty LIST [].
@param Inds: a LIST of specified indeterminates.
@return: a LIST of non-commutative polynomials whose indeterminates are in Inds.
Example
USE QQ[x[1..2],y[1..2]]; F1:= [[2x[1],y[1],x[2]^2], [-9y[2],x[1]^2,x[2]^3]]; -- 2x[1]y[1]x[2]^2-9y[2]x[1]^2x[2]^3 F2:= [[2x[1],x[2]^2], [x[2]^3],[4]]; -- 2x[1]x[2]^2+x[2]^3+4 NC.FindPolys([F1,F2],[x[1],x[2]]); [[[2x[1], x[2]^2], [x[2]^3], [4]]] -------------------------------
See also
