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Why is TREE (3) so big? (Explanation for beginners)
In general, the tree whose root has n childless children for $n \ge 4$ corresponds to $\phi(1, 0, 0, \ldots, 0)$ with $n-1$ $0$ 's. Now we can finally relate this all to TREE(n).
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How Big Is The Number — Tree(3)
Nov 10, 2019 · TREE (3) actually came from Kruskal’s tree theorem and it is far far bigger than Graham’s number. In fact, Graham’s number is practically equivalent to zero when compared to TREE (3). The one thing that surprises …
The Game of Trees is a Mad Math Theory That Is …
Feb 27, 2023 · A mathematician explains why the number TREE(3), derived from a simple game, is so collossal, and why its proof is impossible to write.
The Enormous TREE(3) - Numberphile - YouTube
Wrap Your Head Around the Enormity of the Number …
Oct 20, 2017 · The maximum number of trees you could build without ending the game is TREE(3). Numerous mathematicians have discovered intriguing things about TREE(3) and this game of trees.
Can someone explain TREE (3) in extremely simple terms?
Dec 9, 2019 · This can be proven using Kruskal's tree theorem, a bit of mathematics about abstract structures called trees. Some games may persist for a very (very, very, very...) long …
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co.combinatorics - How large is TREE(3)?
I can state with certainty that TREE(3) is larger than $H_{\vartheta (\Omega^{\omega}, 0)} (n(4))$, where H is a certain version of the Hardy hierarchy. To obtain this result, I will first define a version of TREE(n) for …
TREE(3) (extra footage) - Numberphile - YouTube
explicit upper bound of TREE (3) - Mathematics Stack Exchange
Jun 4, 2016 · TREE(3) is the famously absurdly large number that is the length of a longest list of rooted, 3-colored trees whose $i$th element has at most $i$ vertices, and for which no tree's …
TREE[3] – The Book of Threes
Oct 21, 2017 · We know TREE(3) exists, and we know it’s finite, but we do not know what it is or even how many digits there are. The number comes from a simple game of trees—meaning the charts used in graph theory.
How do we know the magnitude of TREE(3)? - Reddit
The true value of TREE (3) isn't known, although we do have lower bounds, which far exceed grahams number. They are hard to describe in a Reddit post but they are written in terms of …
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TREE(3) Is A Number Which Is Impossible To Contain
Apr 7, 2023 · It is physically impossible to contain all the digits of TREE (3) inside your brain – there’s a maximum amount of entropy that can be stored in our heads, and it’s way, way, way …
Why and how is TREE(3) so enormously large? : r/math - Reddit
Using the notation fuse(0) = 1, fuse(1) = 3, and fuse(2) = 10, according to the presentation in the link, fuse(3) = 1,541,023,937. That's not really what I would call gigantically huge. fuse(4) is …
TREE (3) is a big number, I mean really big. - Josh Kerr
Mar 27, 2016 · The really laymen explanation for why TREE(3) is so big goes like this. The TREE(n) function returns the longest possible tree made with N elements that follow very …
ELI5: could someone explain the tree(3) theory? - Reddit
TREE(3) (typically written in all caps) is a classic "unexpectedly large number" in mathematics. The TREE function takes in an integer and spits out an integer. TREE(1) is just 1. TREE(2) is …
“Graham’s number is effectively zero compared to TREE(3)”
Feb 17, 2022 · The number TREE(3), which comes from a simple combinatorial problem in graph theory, is proven to be finite, but unimaginably larger than the already unimaginable Graham’s …
Why 0-3? - ZERO TO THREE
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TREE (3) and the Goodstein sequence - Mathematics Stack …
Oct 19, 2023 · TREE(3) is an extremely large number that requires ordinal arithmetic to prove it is finite. For what value of n would $G(n)>TREE(3)$? The length of the Goodstein sequence …
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