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

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Revision as of 14:07, 22 April 2009

DA.Differentiate

Computes the derivation of a differential polynomial.

Syntax

DA.Differentiate(F:POLY):POLY

Description

The function computes the derivation of the polynomial F. If the order of the result would exceed the given maximum order as implied by the current ring, an error is thrown.

  • @param F A differential polynomial.

  • @return The derivation of F.

Example

Use Q[x[1..2,0..20]];
F:=x[1,4]^2*x[1,1]-x[2,4]^3;
DA.Differentiate(F);
-------------------------------
x[1,2]x[1,4]^2 + 2x[1,1]x[1,4]x[1,5] - 3x[2,4]^2x[2,5]
-------------------------------

Example

Use Q[x[1..2,0..20]];
F:=x[1,20]^2*x[1,1]-x[2,4]^3;
DA.Differentiate(F);
-------------------------------
ERROR: Maximum order is exceeded.
CONTEXT: Error("Maximum order is exceeded.")
-------------------------------

DA.NthDerivation