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

From ApCoCoAWiki
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</syntax>
 
</syntax>
 
<description>
 
<description>
DA.DiffAutoReduce computes for a given set G of differential polynomials a reduced list of differential polynomials H, s.t. every element of G reduces to zero wrt. H.
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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.
 
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<itemize>
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<item>@param G A set of differential polynomials.</item>
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<item>@return A list of reduced differential polynomials.</item>
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</itemize>
 
<example>
 
<example>
 
Use Q[x[1..1,0..20]];
 
Use Q[x[1..1,0..20]];

Revision as of 12:30, 22 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]
-------------------------------

DA.DiffTO

DA.DiffReduce