Difference between revisions of "ApCoCoA-1:DA.NthDerivation"
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<title>diffalg.NthDerivation</title> | <title>diffalg.NthDerivation</title> | ||
| − | <short_description> | + | <short_description>the n-th derivation of a differential polynomial</short_description> |
<syntax> | <syntax> | ||
$diffalg.NthDerivation(F:POLY, N:INT):POLY | $diffalg.NthDerivation(F:POLY, N:INT):POLY | ||
Revision as of 09:10, 22 December 2008
diffalg.NthDerivation
the n-th derivation of a differential polynomial
Syntax
$diffalg.NthDerivation(F:POLY, N:INT):POLY
Description
Computes the N-th derivation of the differential 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[1,2]^2*x[1,1]-x[2,4]^3;
$diffalg.NthDerivation(F, 2);
-------------------------------
5x[1,2]^2x[1,3] + 2x[1,1]x[1,3]^2 + 2x[1,1]x[1,2]x[1,4] - 6x[2,4]x[2,5]^2 - 3x[2,4]^2x[2,6]
-------------------------------
Use Q[x[1..2,0..20]];
F:=x[1,2]^2*x[1,1]-x[2,4]^3;
$diffalg.NthDerivation(F, 20);
-------------------------------
ERROR: Maximum order is exceeded.
CONTEXT: Error("Maximum order is exceeded.")
-------------------------------
