Difference between revisions of "Forward circle plus"
From timescalewiki
m (Tom moved page Circle plus to Forward circle plus: there's a backward one too) |
|
(No difference)
| |
Revision as of 15:01, 15 January 2023
Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$, the Hilger complex plane. Then we define the $\oplus_h$ operation by $$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$
Properties
Regressive functions form an abelian group under circle plus
Circle minus inverse of circle plus
Hilger real part oplus Hilger imaginary part equals z
