Continuously Iterating Modular Arithmetic

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Continuously Iterating Modular Arithmetic

Catullus Offline

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#11

07/19/2022, 09:38 AM (This post was last modified: 07/29/2022, 04:08 AM by Catullus.)

My idea would be to use Fourier series to approximate $[Image: png.image?\dpi%7B110%7D%20mod(k,x)]$ , and then somehow find iterations of the Fourier approximations, such that near the fixed points and n-cycles of the Fourier approximations (If any.) they would approach continuously iterating mx+b, and are as holomorphic as possible.
But, I do not know how to do that.

Please remember to stay hydrated.
ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\

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Messages In This Thread

Continuously Iterating Modular Arithmetic - by Catullus - 07/14/2022, 10:58 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/14/2022, 01:14 PM

RE: Continuously Iterating Modular Arithmetic - by Catullus - 07/15/2022, 07:07 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/15/2022, 01:59 PM

RE: Continuously Iterating Modular Arithmetic - by Catullus - 07/19/2022, 01:15 AM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/19/2022, 01:38 AM

RE: Continuously Iterating Modular Arithmetic - by Catullus - 07/19/2022, 02:09 AM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/19/2022, 02:34 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/19/2022, 07:59 AM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/19/2022, 09:08 AM

RE: Continuously Iterating Modular Arithmetic - by Catullus - 07/19/2022, 09:38 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/19/2022, 10:03 AM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/20/2022, 10:28 PM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/21/2022, 12:21 PM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/22/2022, 01:48 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/22/2022, 01:58 AM

RE: Continuously Iterating Modular Arithmetic - by JmsNxn - 07/22/2022, 02:13 AM

RE: Continuously Iterating Modular Arithmetic - by MphLee - 07/22/2022, 02:16 AM

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