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

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S schuster (talk | contribs) m (ApCoCoA:Diffalg.DiffAutoReduce moved to ApCoCoA:DA.DiffAutoReduce: To comply with style principles.) |
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DA.DiffAutoReduce computes for a given set G of differential polynomials a list of reduced differential polynomials H, s.t. every element of G reduces to zero wrt. H. | DA.DiffAutoReduce computes for a given set G of differential polynomials a list of reduced differential polynomials H, s.t. every element of G reduces to zero wrt. H. | ||

<itemize> | <itemize> | ||

− | <item>@param G A set of differential polynomials.</item> | + | <item>@param <em>G</em> A set of differential polynomials.</item> |

<item>@return A list of reduced differential polynomials.</item> | <item>@return A list of reduced differential polynomials.</item> | ||

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

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

<see>DA.DiffReduce</see> | <see>DA.DiffReduce</see> | ||

+ | |||

<key>DiffAutoReduce</key> | <key>DiffAutoReduce</key> | ||

<key>DA.DiffAutoReduce</key> | <key>DA.DiffAutoReduce</key> |

## Revision as of 10:57, 23 April 2009

## DA.DiffAutoReduce

Computes a reduced list of differential polynomials.

### Syntax

DA.DiffAutoReduce(G:LIST):LIST

### Description

DA.DiffAutoReduce computes for a given set G of differential polynomials a list of reduced differential polynomials H, s.t. every element of G reduces to zero wrt. H.

@param

*G*A set of differential polynomials.@return A list of reduced differential polynomials.

#### Example

Use Q[x[1..1,0..20]]; Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex")); DA.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]); ------------------------------- [x[1,1] + 3x[1,0], 82x[1,0]^2 + 3] -------------------------------