Continuously Iterating Modular Arithmetic

Linear Mode

Continuously Iterating Modular Arithmetic

Catullus Offline

Fellow

Posts: 213
Threads: 47
Joined: Jun 2022

07/14/2022, 10:58 AM (This post was last modified: 08/14/2022, 11:35 PM by Catullus.)

How do you continuously iterate the function $[Image: png.image?\dpi%7B110%7D%20\mod(x,k)]$ ?
Like what is $[Image: png.image?\dpi%7B110%7D%20\mod%5E%7B.5%7D(x,1)]$ , or $[Image: png.image?\dpi%7B110%7D%20\mod%5Ei(x,1)]$ ?

Also, another name for $[Image: png.image?\dpi%7B110%7D%20\mod(x,1)]$ is $[Image: png.image?\dpi%7B110%7D%20\mod(x,1)]$ , which is short for the fractional part of x. The fractional part of π is π-3, but π-3 is not a fraction.
So, what is up with that?

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

Find

« Next Oldest | Next Newest »

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

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	Evaluating Arithmetic Functions In The Complex Plane	Caleb	6	9,331	02/20/2023, 12:16 AM Last Post: tommy1729
	[To Do] Basics of Iterating Relations	MphLee	0	2,355	12/27/2022, 07:57 PM Last Post: MphLee
	Iterating at eta minor	JmsNxn	22	23,030	08/05/2022, 02:01 AM Last Post: JmsNxn
	iterating z + theta(z) ? [2022]	tommy1729	5	7,802	07/04/2022, 11:37 PM Last Post: JmsNxn
	[Video] From modular forms to elliptic curves - The Langlands Program	MphLee	1	3,544	06/19/2022, 08:40 PM Last Post: JmsNxn
	Trying to get Kneser from beta; the modular argument	JmsNxn	2	4,927	03/29/2022, 06:34 AM Last Post: JmsNxn
	iterating exp(z) + z/(1 + exp(z))	tommy1729	0	4,110	07/17/2020, 12:29 PM Last Post: tommy1729
	[rule 30] Is it possible to easily rewrite rule 30 in terms of modular arithmetic ?	tommy1729	0	5,375	07/24/2014, 11:09 PM Last Post: tommy1729
	Tetration and modular arithmetic.	tommy1729	0	6,189	01/12/2014, 05:07 AM Last Post: tommy1729
	iterating x + ln(x) starting from 2	tommy1729	2	9,816	04/29/2013, 11:35 PM Last Post: tommy1729

View a Printable Version

Users browsing this thread: 2 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me