Difference between revisions of "ApCoCoA-1:DA.Initial"
From ApCoCoAWiki
S schuster (talk | contribs) |
m (replaced <quotes> tag by real quotes) |
||
| (8 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{Version|1}} | ||
<command> | <command> | ||
<title>DA.Initial</title> | <title>DA.Initial</title> | ||
| Line 6: | Line 7: | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively. | + | <ref>ApCoCoA-1:DA.Initial|DA.Initial</ref> returns the initial of polynomial <tt>F</tt> wrt. the current differential term ordering, or the hereby induced ranking, respectively. |
<itemize> | <itemize> | ||
| − | <item>@param F A differential polynomial.</item> | + | <item>@param <em>F</em> A differential polynomial.</item> |
| − | <item>@return The initial of F.</item> | + | <item>@return The initial of <tt>F</tt>.</item> |
</itemize> | </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]; | ||
| Line 34: | Line 35: | ||
<type>polynomial</type> | <type>polynomial</type> | ||
</types> | </types> | ||
| − | <see>DA.LD</see> | + | <see>ApCoCoA-1:DA.LD|DA.LD</see> |
| − | <see>DA.LPot</see> | + | <see>ApCoCoA-1:DA.LPot|DA.LPot</see> |
| − | <see>DA.DiffTO</see> | + | <see>ApCoCoA-1:DA.DiffTO|DA.DiffTO</see> |
| + | |||
<key>Initial</key> | <key>Initial</key> | ||
<key>DA.Initial</key> | <key>DA.Initial</key> | ||
<key>diffalg.Initial</key> | <key>diffalg.Initial</key> | ||
<key>differential.Initial</key> | <key>differential.Initial</key> | ||
| − | <wiki-category>Package_diffalg</wiki-category> | + | <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.Initial
Computes the initial of a differential polynomial.
Syntax
DA.Initial(F:POLY):POLY
Description
DA.Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively.
@param F A differential polynomial.
@return The initial of F.
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.LD(F);
-------------------------------
x[2,2]
-------------------------------
DA.LPot(F);
-------------------------------
x[2,2]^2
-------------------------------
DA.Initial(F);
-------------------------------
x[1,2]^3 + x[1,1]^3
-------------------------------
