Difference between revisions of "ApCoCoA-1:DA.NthDerivation"

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(Corrected example.)
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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>
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<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>)
-------------------------------

DA.Differentiate