"circular" operators, "circular" derivatives, and "circular" tetration.
#16
(07/27/2022, 08:05 AM)Catullus Wrote: JmsNxn defined [Image: png.image?\dpi%7B110%7D%20cxp(x)] as [Image: png.image?\dpi%7B110%7D%20\sin(x)+\cos(x)].
Please notice that that definition uses hyperbolic addition.
I define my definition of [Image: png.image?\dpi%7B110%7D%20cxp(x)] as [Image: png.image?\dpi%7B110%7D%20\sin(x)\oplus\cos(x)], where this kind of circular exponentiation is the super function of the super function of this kind of circular addition.
How do you work that out?

No fucking clue Catullus, sounds fucking impossible. Lmao, I have no idea where it would be holomorphic; what it looks like.
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RE: "circular" operators, "circular" derivatives, and "circular" tetration. - by JmsNxn - 07/29/2022, 04:03 AM

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