ApCoCoA-1:DA.Differentiate
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Revision as of 14:07, 22 April 2009 by S schuster (talk | contribs) (ApCoCoA:Diffalg.Differentiate moved to ApCoCoA:DA.Differentiate: To comply with style principles.)
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.") -------------------------------