ApCoCoA-1:DA.Initial

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diffalg.Initial

Returns the initial of F with respect to the current differential term ordering.

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
-------------------------------

Diffalg.LD

Diffalg.LPot

Diffalg.DiffTO