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

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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.
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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.
 
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<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>@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>
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<see>Use</see>
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<see>ApCoCoA-1:Use|Use</see>
<see>NC.CoCoALToC</see>
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<see>ApCoCoA-1:NC.CoCoALToC|NC.CoCoALToC</see>
 
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Revision as of 08:22, 7 October 2020

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