ApCoCoA-1:DA.Differentiate
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diffalg.Differentiate
the derivation of a differential polynomial
Syntax
$diffalg.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.
Example
Use Q[x[1..2,0..20]];
F:=x[1,4]^2*x[1,1]-x[2,4]^3;
$diffalg.Differentiate(F);
-------------------------------
x[1,2]x[1,4]^2 + 2x[1,1]x[1,4]x[1,5] - 3x[2,4]^2x[2,5]
-------------------------------
Use Q[x[1..2,0..20]];
F:=x[1,20]^2*x[1,1]-x[2,4]^3;
$diffalg.Differentiate(F);
-------------------------------
ERROR: Maximum order is exceeded.
CONTEXT: Error("Maximum order is exceeded.")
-------------------------------
