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

Line 15: | Line 15: | ||

</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> |

## Revision as of 17:24, 3 May 2013

## 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