MaplePrimes - answers and comments on Question, Dual numbers, dual quaternions, attempting to define basic algebra

K[x] / (x^2)

Axel Vogt — Mon, 05 Sep 2011 19:39:34 Z

K[x] / (x^2) should be a canonical way for 'dual' numbers (as Wiki) mentions

Not sure for quaternions (never needed it being off Physics)

macro - expression simplification

gkokovidis — Mon, 05 Sep 2011 20:08:08 Z

For the expression simplification part of your problem statement:

restart:
eq1:=1+5*ep+4*ep^2;
                                       2
                        1 + 5 ep + 4 ep
algsubs(ep^2=0,eq1);
                            1 + 5 ep
algsubs(ep*ep=0,eq1);
                            1 + 5 ep

restart:
macro(ep^2=0);
                                2
                              ep
eq1:=1+5*ep+4*ep^2;
                            1 + 5 ep
eq2:=1+5*ep+4*ep*ep;
                            1 + 5 ep

Download algsubs.mw

Regards,

Georgios Kokovidis

Dräger Medical

where I have to commit

Axel Vogt — Mon, 05 Sep 2011 23:27:24 Z

where I have to commit:

I am not aware how to work with those polynomial algebras A = R[some indets] / ideal
using Maple, but there should be something towards that