ApCoCoA-1:DA.DiffAutoReduce: Difference between revisions

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<command>
<command>
     <title>DA.DiffAutoReduce</title>
     <title>DA.DiffAutoReduce</title>
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<example>
<example>
Use QQ[x[1..1,0..20]];
Use QQ[x[1..1,0..20]];
Use QQ[x[1..1,0..20]], Ord(DA.DiffTO(<quotes>Lex</quotes>));
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]]);
DA.DiffAutoReduce([x[1,2]^2+x[1,0]^2+3, x[1,1]+3x[1,0]]);
-------------------------------
-------------------------------
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<seealso>
<seealso>
  <see>DA.DiffTO</see>
  <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see>
  <see>DA.DiffReduce</see>
  <see>ApCoCoA-1:DA.DiffReduce|DA.DiffReduce</see>
</seealso>
</seealso>



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

DA.DiffTO

DA.DiffReduce