Googology Wiki
Googology Wiki
No edit summary
Tag: Visual edit
No edit summary
Line 17: Line 17:
 
<a,b>★A<sub>n</sub> = <a,a>★<A<sub>n-1</sub>,A><sup>b</sup> (exponent denotes concatenation, NOT an operator)
 
<a,b>★A<sub>n</sub> = <a,a>★<A<sub>n-1</sub>,A><sup>b</sup> (exponent denotes concatenation, NOT an operator)
   
<a,b>★<sub>1</sub>★<sub>2</sub><sup>A<sub>n</sub></sup>
+
<a,b>★<sub>1</sub>★<sub>2</sub><sup>A<sub>n</sub></sup> =
 
[[Category:Blog posts]]
 
[[Category:Blog posts]]

Revision as of 22:38, 25 March 2021

WIP, I didn't mean to publish this

See:

Part I

Part II: Arrows to Alphas

Part III: Full Circle

Original Part IV, a stupid attempt at an extension that will be ignored for this purpose

Let's get down to business. In the original Part IV, I defined <A,A> as an operator and allowed for operations on <A,A>. That sucked. I have a better idea.

A1 = A

<a,b>★An = <a,a>★<An-1,A>b (exponent denotes concatenation, NOT an operator)

<a,b>★12An =