Difference between revisions of "ApCoCoA-1:DA.Differentiate"
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S schuster (talk | contribs) (New page: <command> <title>diffalg.Differentiate</title> <short_description>Computes the derivation of a polynomial.</short_description> <syntax> $diffalg.Differentiate(F:POLY):POLY </syntax...) |
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| + | {{Version|1}} | ||
<command> | <command> | ||
| − | <title> | + | <title>DA.Differentiate</title> |
| − | <short_description>Computes the derivation of a 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. | + | The function computes the derivation of the 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> | ||
| + | <item>@param <em>F</em> A differential polynomial.</item> | ||
| + | <item>@return The derivation of <tt>F</tt>.</item> | ||
| + | </itemize> | ||
<example> | <example> | ||
| − | Use | + | Use QQ[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 QQ[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.") | ||
------------------------------- | ------------------------------- | ||
</example> | </example> | ||
</description> | </description> | ||
| − | <wiki-category>Package_diffalg</wiki-category> | + | <types> |
| + | <type>polynomial</type> | ||
| + | </types> | ||
| + | <see>ApCoCoA-1:DA.NthDerivation|DA.NthDerivation</see> | ||
| + | |||
| + | <key>Differentiate</key> | ||
| + | <key>DA.Differentiate</key> | ||
| + | <key>diffalg.Differentiate</key> | ||
| + | <key>differential.Differentiate</key> | ||
| + | <wiki-category>ApCoCoA-1:Package_diffalg</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 13:29, 29 October 2020
| This article is about a function from ApCoCoA-1. |
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 QQ[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 QQ[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.")
-------------------------------
