Difference between revisions of "ApCoCoA-1:DA.Differentiate"
From ApCoCoAWiki
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</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 <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>@return The derivation of F.</item> | + | <item>@return The derivation of <tt>F</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> |
Revision as of 12:49, 7 July 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 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(<quotes>Maximum order is exceeded.</quotes>) -------------------------------