Difference between revisions of "ApCoCoA-1:NC.CToCoCoAL"
(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...) |
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<command> | <command> | ||
<title>NC.CToCoCoAL</title> | <title>NC.CToCoCoAL</title> | ||
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<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. | + | <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> | ||
| − | + | USE QQ[x[1..2],y[1..2]]; | |
| − | F:=[[1, | + | F:= [[2, [1, 3, 2, 2]], [-9, [4, 1, 1, 2, 2, 2]], [5, []]]; |
| − | NC. | + | NC.CToCoCoAL(F); |
| − | + | ||
| − | - | + | [[2x[1], y[1], x[2]^2], [-9y[2], x[1]^2, x[2]^3], [5]] |
| − | |||
| − | |||
------------------------------- | ------------------------------- | ||
</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> | ||
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<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
