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- 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 + * –
- big numbers - How much bigger is 3↑↑↑↑3 compared to 3↑↑↑3 . . .
which should make it a little clearer how much bigger 3 ↑↑↑↑ 3 is than 3 ↑↑↑ 3 It's hard to even give a more concrete answer because the numbers of powers of 3 get unreasonably large to compute or type
- 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
- How exactly does Knuths Up-Arrow notation work?
This is denoted as a ↑ b, sort of looks like a^b on a calculator for computing ab Tetration: repeated exponentiation a ↑ ↑ b = ba = aa … a ⏟ b copies = a ↑ (a ↑ (⋯ ↑ a)) ⏟ b copies
- 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
- elementary set theory - ↑ and ↓ relations on measures (Durett . . .
↑ and ↓ for sequence of real numbers have different context; an ↑ a for a real seqence an and a real number a means an is increasing and converges to a ↓ also have similar meaning, by just substitute the word "increasing" to "decreasing" However, we can say that ↑ for set sequences and real sequences share same background
- 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?
- What is the meaning of a notation of upward or downward arrow in Math . . .
I don't understand the meaning of a notation of upward or downward arrow, i e ↓ ↓ or ↑ ↑, and in which way are these notations different from → → or ← ←?
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