Difference between revisions of "ApCoCoA-1:DA.DiffAutoReduce"
From ApCoCoAWiki
S schuster (talk | contribs) m (ApCoCoA:Diffalg.DiffAutoReduce moved to ApCoCoA:DA.DiffAutoReduce: To comply with style principles.) |
|||
| Line 8: | Line 8: | ||
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> | ||
| Line 25: | Line 25: | ||
<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]
-------------------------------
