Difference between revisions of "ApCoCoA-1:DA.Differentiate"
From ApCoCoAWiki
S schuster (talk | contribs) |
S schuster (talk | contribs) |
||
| Line 1: | Line 1: | ||
<command> | <command> | ||
| − | <title> | + | <title>DA.Differentiate</title> |
| − | <short_description>the derivation of a differential polynomial</short_description> | + | <short_description>Computes the derivation of a differential polynomial.</short_description> |
<syntax> | <syntax> | ||
| − | + | DA.Differentiate(F:POLY):POLY | |
</syntax> | </syntax> | ||
<description> | <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. | 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. | ||
| + | <itemize> | ||
| + | <item>@param F A differential polynomial.</item> | ||
| + | <item>@return The derivation of F.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
Use Q[x[1..2,0..20]]; | Use Q[x[1..2,0..20]]; | ||
F:=x[1,4]^2*x[1,1]-x[2,4]^3; | F:=x[1,4]^2*x[1,1]-x[2,4]^3; | ||
| − | + | DA.Differentiate(F); | |
------------------------------- | ------------------------------- | ||
x[1,2]x[1,4]^2 + 2x[1,1]x[1,4]x[1,5] - 3x[2,4]^2x[2,5] | x[1,2]x[1,4]^2 + 2x[1,1]x[1,4]x[1,5] - 3x[2,4]^2x[2,5] | ||
------------------------------- | ------------------------------- | ||
| − | + | </example> | |
| + | <example> | ||
Use Q[x[1..2,0..20]]; | Use Q[x[1..2,0..20]]; | ||
F:=x[1,20]^2*x[1,1]-x[2,4]^3; | F:=x[1,20]^2*x[1,1]-x[2,4]^3; | ||
| − | + | DA.Differentiate(F); | |
------------------------------- | ------------------------------- | ||
ERROR: Maximum order is exceeded. | ERROR: Maximum order is exceeded. | ||
| Line 24: | Line 29: | ||
</example> | </example> | ||
</description> | </description> | ||
| − | <see> | + | <types> |
| + | <type>polynomial</type> | ||
| + | </types> | ||
| + | <see>DA.NthDerivation</see> | ||
| + | <key>Differentiate</key> | ||
| + | <key>DA.Differentiate</key> | ||
| + | <key>diffalg.Differentiate</key> | ||
| + | <key>differential.Differentiate</key> | ||
<wiki-category>Package_diffalg</wiki-category> | <wiki-category>Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Revision as of 13:24, 22 April 2009
DA.Differentiate
Computes the derivation of a differential polynomial.
Syntax
DA.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.
@param F A differential polynomial.
@return The derivation of F.
Example
Use Q[x[1..2,0..20]]; F:=x[1,4]^2*x[1,1]-x[2,4]^3; DA.Differentiate(F); ------------------------------- x[1,2]x[1,4]^2 + 2x[1,1]x[1,4]x[1,5] - 3x[2,4]^2x[2,5] -------------------------------
Example
Use Q[x[1..2,0..20]];
F:=x[1,20]^2*x[1,1]-x[2,4]^3;
DA.Differentiate(F);
-------------------------------
ERROR: Maximum order is exceeded.
CONTEXT: Error("Maximum order is exceeded.")
-------------------------------
