Difference between revisions of "ApCoCoA-1:DA.NthDerivation"
From ApCoCoAWiki
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<command> | <command> | ||
<title>DA.NthDerivation</title> | <title>DA.NthDerivation</title> | ||
| − | <short_description>Computes the N-th derivation of a differential polynomial.</short_description> | + | <short_description>Computes the <tt>N</tt>-th derivation of a differential polynomial.</short_description> |
<syntax> | <syntax> | ||
DA.NthDerivation(F:POLY, N:INT):POLY | DA.NthDerivation(F:POLY, N:INT):POLY | ||
</syntax> | </syntax> | ||
<description> | <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. | + | Computes the <tt>N</tt>-th derivation of the differential polynomial <tt>F</tt>. 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 <em>F</em> A differential polynomial.</item> | <item>@param <em>F</em> A differential polynomial.</item> | ||
<item>@param <em>N</em> An integer.</item> | <item>@param <em>N</em> An integer.</item> | ||
| − | <item>@return The N-th derivation of F.</item> | + | <item>@return The <tt>N</tt>-th derivation of <tt>F</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 12:56, 7 July 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 QQ[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(<quotes>Maximum order is exceeded.</quotes>) -------------------------------
