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

From ApCoCoAWiki

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+ | {{Version|1}} | ||

<command> | <command> | ||

<title>DA.PseudoReduce</title> | <title>DA.PseudoReduce</title> | ||

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</syntax> | </syntax> | ||

<description> | <description> | ||

− | <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. | + | <ref>ApCoCoA-1:DA.PseudoReduce|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> | ||

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<example> | <example> | ||

Use QQ[x[1..1,0..20]]; | Use QQ[x[1..1,0..20]]; | ||

− | Use QQ[x[1..1,0..20]], Ord(DA.DiffTO( | + | Use QQ[x[1..1,0..20]], Ord(DA.DiffTO("Lex")); |

DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]); | DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]); | ||

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

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<type>polynomial</type> | <type>polynomial</type> | ||

</types> | </types> | ||

− | <see>DA.DiffTO</see> | + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> |

<key>PseudoReduce</key> | <key>PseudoReduce</key> | ||

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<key>diffalg.PseudoReduce</key> | <key>diffalg.PseudoReduce</key> | ||

<key>differential.PseudoReduce</key> | <key>differential.PseudoReduce</key> | ||

− | <wiki-category>Package_diffalg</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> |

</command> | </command> |

## Latest revision as of 13:30, 29 October 2020

This article is about a function from ApCoCoA-1. |

## 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("Lex")); DA.PseudoReduce(x[1,1]^4+x[1,0], [x[1,0]^2+3x[1,0]]); ------------------------------- -3x[1,0] -------------------------------