ApCoCoA-1:DA.Initial: Difference between revisions
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S schuster (talk | contribs) New page: <command> <title>diffalg.Initial</title> <short_description>Returns the initial of F with respect to the current differential term ordering.</short_description> <syntax> $diffalg.I... |
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<command> | <command> | ||
<title>diffalg.Initial</title> | <title>diffalg.Initial</title> | ||
<short_description> | <short_description>the initial of a differential polynomial</short_description> | ||
<syntax> | <syntax> | ||
$diffalg.Initial(F:POLY):POLY | $diffalg.Initial(F:POLY):POLY | ||
Revision as of 09:05, 22 December 2008
diffalg.Initial
the initial of a differential polynomial
Syntax
$diffalg.Initial(F:POLY):POLY
Description
Initial returns the initial of polynomial F wrt. the current differential term ordering, or the hereby induced ranking, respectively.
Example
Use Q[x[1..2,0..20]];
Use Q[x[1..2,0..20]], Ord($diffalg.DiffTO("Lex"));
F:=x[1,2]^3x[2,2]^2 + x[1,1]^3x[2,2]^2 + 1/4x[1,2];
$diffalg.LD(F);
-------------------------------
x[2,2]
-------------------------------
$diffalg.LPot(F);
-------------------------------
x[2,2]^2
-------------------------------
$diffalg.Initial(F);
-------------------------------
x[1,2]^3 + x[1,1]^3
-------------------------------
