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

From ApCoCoAWiki

S schuster (talk | contribs) |
S schuster (talk | contribs) (Applied style principles.) |
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<command> | <command> | ||

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

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

− | + | <itemize> | |

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

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

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

+ | </itemize> | ||

<example> | <example> | ||

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

− | Use Q[x[1..1,0..20]], Ord( | + | Use Q[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] | ||

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

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

− | <see> | + | <types> |

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

+ | </types> | ||

+ | <see>DA.DiffTO</see> | ||

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

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

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

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

<wiki-category>Package_diffalg</wiki-category> | <wiki-category>Package_diffalg</wiki-category> | ||

</command> | </command> |

## Revision as of 13:54, 22 April 2009

## DA.PseudoReduce

Calculate 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 pseido normal form of F wrt. G.

#### Example

Use Q[x[1..1,0..20]]; Use Q[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] -------------------------------