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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.

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