- What does this symbol ↑ mean? - Mathematics Stack Exchange
Sorry for my bad english I have a question about postfix expression , but i dont what symbol ↑ mean ? Thank for your help Find the value of the postfix expression: 2 2 4 + 3 2 ↑ + 5 3 + * –
- How does it work? - Mathematics Stack Exchange
3 ↑ ↑ = 7625597484987 so 3 ↑ ↑ ↑ 3 = 3 ↑ ↑ (3 ↑ ↑ 3) = 3 ↑ ↑ 7625597484987, which is an impossibly large number Starting with x=1, you iterate x ↦ 3 ↑ x 7625597484987 times
- big numbers - How much bigger is 3↑↑↑↑3 compared to 3↑↑↑3 . . .
Keep in mind that this is 3 ↑ ↑ ↑ 3, or 3 ↑ ↑ 3 ↑ ↑ 3 If we took this result and did ↑ ↑ that many times, we'd basically arrive at 3 ↑ ↑ ↑ ↑ 3, which is equivalent to:
- 3↑↑↑3= ? but with 10 instead of 3 ( approximation, order of magnitude )
3↑↑↑3 being the first really huge number in the awesome crescendo of Graham's number, I suspect that it is still within the grasp of imagination, but it would help to get it in terms of 10 instead of 3
- How exactly does Knuths Up-Arrow notation work?
I'm still a bit confused on this topic I've done a lot of research, but I can't seem to understand this Could somebody explain this in an understandable way? From what I can gather, for example 2↑↑3 would be 2^2^2 = 16? Then 2↑↑↑3 would be 2^2^2^2 = 256? Am I correct, or have I mis-interpreted this?
- Is this number, N, greater than Graham’s Number?
That number is incredibly tiny compared to Graham's number Remember that Graham's number is 3↑k 3 3 ↑ k 3 where k k itself is the gigantically huge result of a "tower" of chained arrow expressions; it's not hard to unpack the definition to see that by the fourth (?) level of the tower we've already gone well past your N N That said, I'm not totally sure that this question is appropriate
- elementary set theory - ↑ and ↓ relations on measures (Durett . . .
However, we can say that ↑ ↑ for set sequences and real sequences share same background In both cases, ↑ ↑ means left-hand-side is increasing and converges to the right-hand-side
- Ordinal Arithmetic: Why is ε0 = ω^ω^ω^ω. . . - Mathematics Stack Exchange
In other words, in this notation, why not continue the pattern of ω+ω, ω*ω, ω^ω, ω↑↑ω, and so on, using ω↑↑ω instead of ε0? Is there any reason for ending that pattern with exponentiation, rather than using tetration and other super-operators?
|