Difference between revisions of "ApCoCoA-1:NC.CToCoCoAL"

From ApCoCoAWiki
(New page: <command> <title>NC.CToCoCoAL</title> <short_description> Convert a polynomial in a non-commutative polynomial ring from the C format to the CoCoAL format. </short_description> <syntax> NC...)
 
m (insert version info)
 
(4 intermediate revisions by 2 users not shown)
Line 1: Line 1:
 +
{{Version|1}}
 
<command>
 
<command>
 
<title>NC.CToCoCoAL</title>
 
<title>NC.CToCoCoAL</title>
Line 9: Line 10:
 
<description>
 
<description>
 
<par/>
 
<par/>
Please set non-commutative polynomial ring (via the command <ref>Use</ref>) before calling this function. For more information, please check the relevant commands and functions.
+
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>F</em>: a non-commutative polynomial in the C format. 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>@param <em>F</em>: a non-commutative polynomial in the C format. Every polynomial is represented as a LIST of LISTs, and each inner LIST contains a coefficient and a LIST of indices of indeterminates. For instance, assume that the working ring is QQ[x[1..2],y[1..2]], then indeterminates <tt>x[1],x[2],y[1],y[2]</tt> are indexed by <tt>1,2,3,4</tt>, respectively. Thus the polynomial <tt>f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5</tt> is represented as [[2, [1, 3, 2, 2]], [-9, [4, 1, 1, 2, 2, 2]], [5, []]]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item>
 
<item>@return: a LIST, which is the CoCoAL format of the polynomial F.</item>
 
<item>@return: a LIST, which is the CoCoAL format of the polynomial F.</item>
 
</itemize>
 
</itemize>
 
<example>
 
<example>
NC.SetX(<quotes>abc</quotes>);
+
USE QQ[x[1..2],y[1..2]];
F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]];
+
F:= [[2, [1, 3, 2, 2]], [-9, [4, 1, 1, 2, 2, 2]], [5, []]];
NC.Deg(F);
+
NC.CToCoCoAL(F);
3
+
 
-------------------------------
+
[[2x[1], y[1], x[2]^2], [-9y[2], x[1]^2, x[2]^3], [5]]
NC.Deg([]); -- 0 polynomial
 
0
 
 
-------------------------------
 
-------------------------------
 
</example>
 
</example>
 
</description>
 
</description>
 
<seealso>
 
<seealso>
<see>Use</see>
+
<see>ApCoCoA-1:Use|Use</see>
<see>NC.CoCoALToC</see>
+
<see>ApCoCoA-1:NC.CoCoALToC|NC.CoCoALToC</see>
 
</seealso>
 
</seealso>
 
<types>
 
<types>
Line 37: Line 36:
 
<key>NC.CToCoCoAL</key>
 
<key>NC.CToCoCoAL</key>
 
<key>CToCoCoAL</key>
 
<key>CToCoCoAL</key>
<wiki-category>Package_ncpoly</wiki-category>
+
<wiki-category>ApCoCoA-1:Package_ncpoly</wiki-category>
 
</command>
 
</command>

Latest revision as of 10:12, 7 October 2020

This article is about a function from ApCoCoA-1.

NC.CToCoCoAL

Convert a polynomial in a non-commutative polynomial ring from the C format to the CoCoAL format.

Syntax

NC.CToCoCoAL(F:LIST):INT

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 F: a non-commutative polynomial in the C format. Every polynomial is represented as a LIST of LISTs, and each inner LIST contains a coefficient and a LIST of indices of indeterminates. For instance, assume that the working ring is QQ[x[1..2],y[1..2]], then indeterminates x[1],x[2],y[1],y[2] are indexed by 1,2,3,4, respectively. Thus the polynomial f=2x[2]y[1]x[2]^2-9y[2]x[1]^2x[2]^3+5 is represented as [[2, [1, 3, 2, 2]], [-9, [4, 1, 1, 2, 2, 2]], [5, []]]. The zero polynomial 0 is represented as the empty LIST [].

  • @return: a LIST, which is the CoCoAL format of the polynomial F.

Example

USE QQ[x[1..2],y[1..2]];
F:= [[2, [1, 3, 2, 2]], [-9, [4, 1, 1, 2, 2, 2]], [5, []]];
NC.CToCoCoAL(F);

[[2x[1], y[1], x[2]^2], [-9y[2], x[1]^2, x[2]^3], [5]]
-------------------------------

See also

Use

NC.CoCoALToC