Login

Daniel · (This post was last modified: 08/07/2022, 07:00 AM by Daniel.)

(08/05/2022, 03:57 AM)Catullus Wrote: Please let $[Image: png.image?\dpi%7B110%7D%20f(x)]$ equal $[Image: png.image?\dpi%7B110%7D%20ceil(\tau\uparrow\...ambda%5E%7B+++]$ , where $[Image: png.image?\dpi%7B110%7D%20x\Lambda%5E%7B\underbr...cdots++%7D_y]$ is defined for $[Image: png.image?\dpi%7B110%7D%20y\geq1]$ as the Bouncing Factorial of x, but instead of starting at one you start at two and you replace the multiplication in the definition with (y+2)-ation.
Please let $[Image: png.image?\dpi%7B110%7D%20g(x)]$ equal $[Image: png.image?\dpi%7B110%7D%20f%5Ex(x)\Lambda%5E%7B\un...+%7D_%7Bf%5Ex(x)]$ .
Please let $[Image: png.image?\dpi%7B110%7D%20h(x)]$ equal $[Image: png.image?\dpi%7B110%7D%20g%5Ex(x)\uparrow%5E%7Bg%5E...)%7D%7D%7Dg%5Ex(x)]$ .
I define my number as h^Guppyplex(Guppyplex)+1.

Wow Catullus, your dedication to nice typesetting is impressive. Smile

In my experience many problems in physics and mathematics have answers because they mean something. Even more, the best problems are at the perimeter of our understanding. Asking questions is great, but some of your questions are far beyond the limit of our collective progress. Understanding the motivation behind a problem is usually the first step in solving it. Paul Erdős talked about "The Book", of the ultimate mathematics theorems. This is a good guide for what to work on.

Sorry, I have no idea as to how to answer your question.

Login
Username:
Password:	Lost Password?
	Remember me

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	How could we define negative hyper operators?	Shanghai46	2	7,393	11/27/2022, 05:46 AM Last Post: JmsNxn
	Base Pi Hyper-Operations	Catullus	3	8,523	11/08/2022, 06:51 AM Last Post: Catullus
	Rank-Wise Approximations of Hyper-Operations	Catullus	48	80,017	09/08/2022, 02:52 AM Last Post: JmsNxn
	Octonion Hyper-Operations	Catullus	3	7,422	07/05/2022, 08:53 AM Last Post: Catullus
	Thoughts on hyper-operations of rational but non-integer orders?	VSO	4	15,624	06/30/2022, 11:41 PM Last Post: MphLee
	Weak Hyper-Operational Etas and Euler Numbers	Catullus	0	3,414	06/17/2022, 09:45 AM Last Post: Catullus
	On my old fractional calculus approach to hyper-operations	JmsNxn	14	29,376	07/07/2021, 07:35 AM Last Post: JmsNxn
	hyper 0	dantheman163	2	12,010	03/09/2021, 10:28 PM Last Post: MphLee
	On to C^\infty--and attempts at C^\infty hyper-operations	JmsNxn	11	24,950	03/02/2021, 09:55 PM Last Post: JmsNxn
	Operational iteration	Xorter	2	11,869	07/27/2017, 12:24 AM Last Post: tommy1729