Difference between revisions of "Forward circle plus"
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(Created page with "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= <div ...") |
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| − | Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$ | + | __NOTOC__ |
| + | Let $h>0$ and $z_1,z_2 \in$ [[Hilger complex plane|$\mathbb{C}_h$]]. Then we define the $\oplus_h$ operation by | ||
$$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$ | $$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$ | ||
=Properties= | =Properties= | ||
| − | < | + | [[Regressive functions form an abelian group under circle plus]]<br /> |
| − | < | + | [[Circle minus inverse of circle plus]]<br /> |
| − | + | [[Hilger real part oplus Hilger imaginary part equals z]]<br /> | |
| − | + | ||
| − | + | =See also= | |
| − | + | [[Forward circle minus]] | |
| + | |||
| + | =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
