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

From ApCoCoAWiki

S schuster (talk | contribs) m (ApCoCoA:Diffalg.DiffReduce moved to ApCoCoA:DA.DiffReduce: To comply with style principles.) |
|||

Line 9: | Line 9: | ||

To this end, the elements of G are differentiated sufficiently often and the usual normal form is built. | To this end, the elements of G are differentiated sufficiently often and the usual normal form is built. | ||

<itemize> | <itemize> | ||

− | <item>@param F Differential polynomial to compute the normal form of.</item> | + | <item>@param <em>F</em> Differential polynomial to compute the normal form of.</item> |

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

<item>@return Normal form of F wrt. G.</item> | <item>@return Normal form of F wrt. G.</item> | ||

</itemize> | </itemize> |

## Revision as of 11:00, 23 April 2009

## DA.DiffReduce

Computes a differential normal form of a differential polynomial wrt. a list of differential polynomials.

### Syntax

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

### Description

DA.DiffReduce computes the differential normal form of F wrt. the set of differential polynomials G.

To this end, the elements of G are differentiated sufficiently often and the usual normal form is built.

@param

*F*Differential polynomial to compute the normal form of.@param

*G*List of differential polynomials to wrt. which the normal form of F is computed.@return 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.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]); ------------------------------- 82x[1,0]^2 + 3 -------------------------------