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Category: The googology series
In this category, we will be exploring different hyper-operations, like ↑ (Knuth’s arrow notation), TREE functions, SSCG, and many, many more. If your brain becomes a black hole on the journey, don’t blame me!
11 posts on each side.
Oh my goodness, we reached 11 posts. Not special post today! 😀
Random challenge
The first blog post in a stream of potentially hundreds. The "Random challenge".
Fish number 2
The second of the legendary Fish numbers, basically Fish number 1 but with one more line.
Arrow by Knuth/half-alive
On an unrelated note, check out Arrow by half-alive, one of the best songs ever. Just for simplification, instead of the arrow symbol, I will use the ^ symbol, so 3^^8 = 3↑↑8. If you see 3^45, please don't freak out. Up-arrow notation is a hyperoperation devised by Donald Knuth in 1976. a^nb can be … Continue reading Arrow by Knuth/half-alive
When you feel down…
up arrow notation, but down.
HUGE ACKERMANN (gen)
THIS IS AN EXCERPT BACK WITH ANOTHER POST ON ACKERMANN WOWIE
In memory of a great mathematician …
John Horton Conway. This will be Conway's Chained Arrow Notation, created by Conway and R. K. Guy. If you read this and you suddenly see CAN, that means Chained Arrow Notation. CAN is defined as follows: a → b = aba → b → c = a ↑c b = a ↑↑↑↑↑ b with c … Continue reading In memory of a great mathematician …
Hardy Hardy Hardy Wainer Wainer Wainer
Two types of hierarchies, both pretty known. They are the Hardy and Wainer hierarchies. Get ready!
Birb will like this
Remember in the post about the fast and slow growing hierarchies, I talked about Bird's Array Notation, or BAN? Today it's that! I was thinking of doing BEAF or Conway's chained arrow notation, but this felt more reasonable. If this is confusing, go check out this link to make it EVEN MORE confusing. There are … Continue reading Birb will like this