Difference between revisions of "ApCoCoA-1:DA.InitialOfDer"
From ApCoCoAWiki
m (Bot: Category moved) |
m (replaced <quotes> tag by real quotes) |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
<title>DA.InitialOfDer</title> | <title>DA.InitialOfDer</title> | ||
| Line 6: | Line 7: | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | <ref>DA.InitialOfDer</ref> returns the polynomial leading coefficient of polynomial <tt>F</tt> regarded as polynomial in the derivative <tt>X</tt>. | + | <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> | <itemize> | ||
<item>@param <em>F</em> A differential polynomial.</item> | <item>@param <em>F</em> A differential polynomial.</item> | ||
| Line 14: | Line 15: | ||
<example> | <example> | ||
Use QQ[x[1..2,0..20]]; | Use QQ[x[1..2,0..20]]; | ||
| − | Use QQ[x[1..2,0..20]], Ord(DA.DiffTO( | + | 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]; | ||
| Line 27: | Line 28: | ||
<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
| − | <see>DA.Initial</see> | + | <see>ApCoCoA-1:DA.Initial|DA.Initial</see> |
| − | <see>DA.DiffTO</see> | + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> |
<key>InitialOfDer</key> | <key>InitialOfDer</key> | ||
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
-------------------------------
