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

From ApCoCoAWiki

S schuster (talk | contribs) |
m (replaced <quotes> tag by real quotes) |
||

(12 intermediate revisions by 4 users not shown) | |||

Line 1: | Line 1: | ||

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

<command> | <command> | ||

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

− | <short_description> | + | <short_description>Computes a pseudo normal form of a differential polynomial.</short_description> |

<syntax> | <syntax> | ||

− | + | DA.PseudoReduce(F:POLY, G:LIST):POLY | |

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

<description> | <description> | ||

− | PseudoReduce computes the pseudo normal form of the differential polynomial F wrt. the list G 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> | |

+ | <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 <tt>F</tt> has to be computed.</item> | ||

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

+ | </itemize> | ||

<example> | <example> | ||

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

− | Use | + | 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] | -3x[1,0] | ||

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

− | |||

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

</description> | </description> | ||

− | <see> | + | <types> |

− | <wiki-category>Package_diffalg</wiki-category> | + | <type>polynomial</type> |

+ | </types> | ||

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

+ | |||

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

+ | <key>DA.PseudoReduce</key> | ||

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

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

+ | <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] -------------------------------