# Difference between revisions of "ApCoCoA-1:DA.PseudoReduce"

From ApCoCoAWiki

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− | DA.PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G of differential polynomials. | + | <ref>DA.PseudoReduce</ref> computes the pseudo normal form of the differential polynomial <tt>F</tt> wrt. the list <tt>G</tt> of differential polynomials. |

<itemize> | <itemize> | ||

<item>@param <em>F</em> Differential polynomial for which to compute the pseudo normal.</item> | <item>@param <em>F</em> Differential polynomial for which to compute the pseudo normal.</item> | ||

− | <item>@param <em>G</em> List of differential polynomials wrt. which the normal form of F has to be computed.</item> | + | <item>@param <em>G</em> List of differential polynomials wrt. which the normal form of <tt>F</tt> has to be computed.</item> |

− | <item>@return The pseudo normal form of F wrt. G.</item> | + | <item>@return The pseudo normal form of <tt>F</tt> wrt. <tt>G</tt>.</item> |

</itemize> | </itemize> | ||

<example> | <example> | ||

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-3x[1,0] | -3x[1,0] | ||

------------------------------- | ------------------------------- | ||

− | |||

</example> | </example> | ||

</description> | </description> |

## Revision as of 13:22, 7 July 2009

## DA.PseudoReduce

Computes a pseudo normal form of a differential polynomial.

### Syntax

DA.PseudoReduce(F:POLY, G:LIST):POLY

### Description

DA.PseudoReduce computes the pseudo normal form of the differential polynomial `F` wrt. the list `G` of differential polynomials.

@param

*F*Differential polynomial for which to compute the pseudo normal.@param

*G*List of differential polynomials wrt. which the normal form of`F`has to be computed.@return The pseudo normal form of

`F`wrt.`G`.

#### Example

Use QQ[x[1..1,0..20]]; Use QQ[x[1..1,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>)); DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]); ------------------------------- -3x[1,0] -------------------------------