Difference between revisions of "ApCoCoA-1:DA.DiffAutoReduce"
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S schuster (talk | contribs) (New page: <command> <title>diffalg.DiffAutoReduce</title> <short_description>Compute a reduced list of diff. polynomials from a given list of diff. polynomials.</short_description> <syntax> ...) |
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| + | {{Version|1}} | ||
<command> | <command> | ||
| − | <title> | + | <title>DA.DiffAutoReduce</title> |
| − | <short_description> | + | <short_description>Computes a reduced list of differential polynomials.</short_description> |
<syntax> | <syntax> | ||
| − | + | DA.DiffAutoReduce(G:LIST):LIST | |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | DiffAutoReduce computes for a given set G of differential polynomials a | + | DA.DiffAutoReduce computes for a given set <tt>G</tt> of differential polynomials a list of reduced differential polynomials <tt>H</tt>, s.t. every element of <tt>G</tt> reduces to zero wrt. <tt>H</tt>. |
| − | + | <itemize> | |
| + | <item>@param <em>G</em> A set of differential polynomials.</item> | ||
| + | <item>@return A list of reduced differential polynomials.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
| − | Use | + | Use QQ[x[1..1,0..20]]; |
| − | Use | + | Use QQ[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] | [x[1,1] + 3x[1,0], 82x[1,0]^2 + 3] | ||
| Line 17: | Line 21: | ||
</example> | </example> | ||
</description> | </description> | ||
| − | <see> | + | <types> |
| − | <see> | + | <type>polynomial</type> |
| − | <wiki-category>Package_diffalg</wiki-category> | + | </types> |
| + | |||
| + | <seealso> | ||
| + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | ||
| + | <see>ApCoCoA-1:DA.DiffReduce|DA.DiffReduce</see> | ||
| + | </seealso> | ||
| + | |||
| + | <key>DiffAutoReduce</key> | ||
| + | <key>DA.DiffAutoReduce</key> | ||
| + | <key>diffalg.DiffAutoReduce</key> | ||
| + | <key>differential.DiffAutoReduce</key> | ||
| + | <wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 13:28, 29 October 2020
| This article is about a function from ApCoCoA-1. |
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 QQ[x[1..1,0..20]];
Use QQ[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]
-------------------------------
See also
