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The question arose to me that there is a major hole in the impermeability of Rayo's number being the biggest number ever, with Rayo's function, for Rayo(x). Rayo's function is a tough nut to crack, because the basis of it is generalized upon the entirety of mathematic reason in and of itself. However, I believe I have come up with the number format that actually surpasses Rayo's function, without using any of said function in the equation, e.g.
Rayo(x)+1.
I've actually come up with a separate function currently uncomputable. The reason why this function actually works is because of a format not yet used by fellow googologists. Temporal physics is the key to beating Rayo.
My number: The Tachyonumber (appropriately named because a tachyon is a…
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I currently think that we are beginning to run out of a precious resource in math: Miscellaneous symbols.
My current solution is to use Yi syllables, a form of Unicode which is almost never being used, and if using the archaic scriptures, almost never used. So tell me any other ideas for symbols usable as functions relative to certain function.
However, this does not mean that we have run out.
Also, a new function I have created, partially to prove the point, but also as a very fast growing function is the curly loop bracket function: {[1]}(x)=...
This function is of importance to variable tetration. I now introduce the "variable"ation base.
It will also be important to know that the function has three different function brackets, parentheses, …
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First off, my last post on the ❦ function initially was unclear. So, let me explain in more detail. The first thing is that I have to clear up a few concepts that most people subconsciencely know, but to fully understand it is the way I can explain this. So Tetration is the 4th hyperoperator. But, the 1st, 2nd, and 3rd is slightly different.
1st hyperoperator: Addition
2nd hyperoperator: Multiplication
3rd: Exponentiation
4th: tetration
pentation, hexation, etc. etc.
So I introduce a technical concept, "x"ation, "y"ation, (any variable)ation, really.
if x=3, then it = x^2, or tritation, or exponentiation, if x=4, then (x)=x^x, or tetration, etc. etc.
Secondly, I propose a new method for mathematical functions. After a while, mathematicians, suc…
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The Hedera Function is a complex seminotation format of Hyperfactorial Array Notation.
The Hedera function comes from obscure symbols, also known as a fleuron, the hedera being this: ❦ (By the way, you can obtain this by using unicode U+2766)
Here is the Hedera function: ❦(x)= (x!^(((x!^(x!1)!^…(1)!)((x!1)!^…)!)((x!2)!)… … ^ (x1)!…^^(x2)!^^^…[xtration] 1!)) ! ! !
Alternatively, you could say x!^ H(H(H(x!)!)!)!!)!!!
Update #1: I've rewritten the function to better fit the functionality (no pun intended) of the ❦ function, as well as secondary and tertiary formulae, which is essentially this: If you use the ❦(x), the function is ___; If you use ❦(❦(x)) then it's the hedera function of the hedera function of x, but if you u…
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