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

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<command>
 
<command>
 
     <title>DA.PseudoAutoReduce</title>
 
     <title>DA.PseudoAutoReduce</title>
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<example>
 
<example>
 
Use QQ[x[1..2,0..20]];
 
Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
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Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
 
DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]);
 
DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]);
 
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Latest revision as of 13:30, 29 October 2020

This article is about a function from ApCoCoA-1.

DA.PseudoAutoReduce

Computes a pseudo reduced list of differential polynomials.

Syntax

DA.PseudoAutoReduce(G:LIST):LIST

Description

DA.PseudoAutoReduce returns a pseudo reduced list, i.e., every element of G reduces

to zero with respect to the returned list.

  • @param G List of differential polynomials.

  • @return An autoreduced list of differential polynomials.

Example

Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
DA.PseudoAutoReduce([x[1,1]^4 + x[2,0], x[1,0]^2 + 3x[1,0], x[1,2]^2-x[2,2]^2]);
-------------------------------
[x[1,0]^2 + 3x[1,0], x[2,0] + x[1,1]^4]
-------------------------------

DA.DiffTO

DA.PseudoReduce