Difference between revisions of "Forward circle plus"
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m (Tom moved page Circle plus to Forward circle plus: there's a backward one too) |
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| − | Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$ | + | Let $h>0$ and $z_1,z_2 \in$ [[Hilger complex plane|$\mathbb{C}_h$]]. Then we define the $\oplus_h$ operation by |
$$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$ | $$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$ | ||
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[[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 /> | ||
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| + | =See also= | ||
| + | [[Forward circle minus]] | ||
=References= | =References= | ||
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| + | [[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
