ApCoCoA-1:DA.InitialOfDer: Difference between revisions
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S schuster (talk | contribs) New page: <command> <title>diffalg.InitialOfDer</title> <short_description>Returns the initial wrt. a given indeterminate.</short_description> <syntax> $diffalg.InitialOfDer(F:POLY, X:INDET)... |
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{{Version|1}} | |||
<command> | <command> | ||
<title> | <title>DA.InitialOfDer</title> | ||
<short_description> | <short_description>Computes the initial wrt. a given derivative.</short_description> | ||
<syntax> | <syntax> | ||
DA.InitialOfDer(F:POLY, X:INDET):POLY | |||
</syntax> | </syntax> | ||
<description> | <description> | ||
InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X. | <ref>ApCoCoA-1:DA.InitialOfDer|DA.InitialOfDer</ref> returns the polynomial leading coefficient of polynomial <tt>F</tt> regarded as polynomial in the derivative <tt>X</tt>. | ||
<itemize> | |||
<item>@param <em>F</em> A differential polynomial.</item> | |||
<item>@param <em>X</em> A indeterminate.</item> | |||
<item>@return Initial of <tt>F</tt> wrt. <tt>X</tt>.</item> | |||
</itemize> | |||
<example> | <example> | ||
Use | Use QQ[x[1..2,0..20]]; | ||
Use | Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex")); | ||
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; | F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2]; | ||
DA.InitialOfDer(F, x[1,2]); | |||
------------------------------- | ------------------------------- | ||
x[2,2]^2 | x[2,2]^2 | ||
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</example> | </example> | ||
</description> | </description> | ||
<see> | <types> | ||
<see> | <type>polynomial</type> | ||
<wiki-category>Package_diffalg</wiki-category> | </types> | ||
<see>ApCoCoA-1:DA.Initial|DA.Initial</see> | |||
<see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> | |||
<key>InitialOfDer</key> | |||
<key>DA.InitialOfDer</key> | |||
<key>diffalg.InitialOfDer</key> | |||
<key>differential.InitialOfDer</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.InitialOfDer
Computes the initial wrt. a given derivative.
Syntax
DA.InitialOfDer(F:POLY, X:INDET):POLY
Description
DA.InitialOfDer returns the polynomial leading coefficient of polynomial F regarded as polynomial in the derivative X.
@param F A differential polynomial.
@param X A indeterminate.
@return Initial of F wrt. X.
Example
Use QQ[x[1..2,0..20]];
Use QQ[x[1..2,0..20]], Ord(DA.DiffTO("Lex"));
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];
DA.InitialOfDer(F, x[1,2]);
-------------------------------
x[2,2]^2
-------------------------------
