Difference between revisions of "Forward circle plus"

From timescalewiki
Jump to: navigation, search
m (Tom moved page Circle plus to Forward circle plus: there's a backward one too)
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
 
__NOTOC__
 
__NOTOC__
Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$, the [[Hilger complex plane]]. Then we define the $\oplus_h$ operation by
+
Let $h>0$ and $z_1,z_2 \in$ [[Hilger complex plane|$\mathbb{C}_h$]]. Then we define the $\oplus_h$ operation by
 
$$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$
 
$$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$
  
Line 7: Line 7:
 
[[Circle minus inverse of circle plus]]<br />
 
[[Circle minus inverse of circle plus]]<br />
 
[[Hilger real part oplus Hilger imaginary part equals z]]<br />
 
[[Hilger real part oplus Hilger imaginary part equals z]]<br />
 +
 +
=See also=
 +
[[Forward circle minus]]
  
 
=References=
 
=References=
 +
 +
[[Category:Definition]]

Latest revision as of 15:27, 21 January 2023

Let $h>0$ and $z_1,z_2 \in$ $\mathbb{C}_h$. 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

See also

Forward circle minus

References