Difference between revisions of "ApCoCoA-1:DA.InitialOfDer"
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| + | {{Version|1}} | ||
<command> | <command> | ||
| − | <title> | + | <title>DA.InitialOfDer</title> |
| − | <short_description>the initial wrt. a given derivative</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
-------------------------------
