Difference between revisions of "ApCoCoA-1:DA.NthDerivation"
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S schuster (talk | contribs) m (ApCoCoA:Diffalg.NthDerivation moved to ApCoCoA:DA.NthDerivation: To comply with style principles.) |
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<command> | <command> | ||
<title>DA.NthDerivation</title> | <title>DA.NthDerivation</title> | ||
| − | <short_description>Computes the | + | <short_description>Computes the N-th derivation of a differential polynomial.</short_description> |
<syntax> | <syntax> | ||
DA.NthDerivation(F:POLY, N:INT):POLY | DA.NthDerivation(F:POLY, N:INT):POLY | ||
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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. | 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. | ||
<itemize> | <itemize> | ||
| − | <item>@param F A differential polynomial.</item> | + | <item>@param <em>F</em> A differential polynomial.</item> |
| − | <item>@param N An integer.</item> | + | <item>@param <em>N</em> An integer.</item> |
<item>@return The N-th derivation of F.</item> | <item>@return The N-th derivation of F.</item> | ||
</itemize> | </itemize> | ||
| Line 34: | Line 34: | ||
</types> | </types> | ||
<see>DA.Differentiate</see> | <see>DA.Differentiate</see> | ||
| + | |||
<key>NthDerivation</key> | <key>NthDerivation</key> | ||
<key>DA.NthDerivation</key> | <key>DA.NthDerivation</key> | ||
Revision as of 11:08, 23 April 2009
DA.NthDerivation
Computes the N-th derivation of a differential polynomial.
Syntax
DA.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.
@param F A differential polynomial.
@param N An integer.
@return The N-th derivation of F.
Example
Use Q[x[1..2,0..20]]; F:=x[1,2]^2*x[1,1]-x[2,4]^3; DA.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] -------------------------------
Example
Use Q[x[1..2,0..20]];
F:=x[1,2]^2*x[1,1]-x[2,4]^3;
DA.NthDerivation(F, 20);
-------------------------------
ERROR: Maximum order is exceeded.
CONTEXT: Error("Maximum order is exceeded.")
-------------------------------
