In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. In his 1947 paper, R. L...

"approaching from below" ↑, a notation of Knuth's up-arrow notation for very large integers ↑, a mathematical game theory position Up ↑ or Sheffer stroke, the...

Arrow notation may refer to: Conway chained arrow notation Knuth's up-arrow notation Arrow notation (Ramsey theory), or infinitary combinatorics Arrow...

can be explicitly given by computable recursive formulas using Knuth's up-arrow notation or equivalent, as was done by Ronald Graham, the number's namesake...

Aristotelische Theorie der Möglichkeitsschlüsse, Berlin, 1933. Knuth's up-arrow notation uses multiple up arrows, such as ⇈, for iterated, or repeated, exponentiation...

repeated, exponentiation. There is no standard notation for tetration, though Knuth's up arrow notation ↑↑ {\displaystyle \uparrow \uparrow } and the left-exponent...

represents the number a ↑ c b {\displaystyle a\uparrow ^{c}b} (see Knuth's up-arrow notation) The chains # → 1 {\displaystyle \#\rightarrow 1} and # → 1 →...

hexation (n = 6), etc.) and can be written as using n − 2 arrows in Knuth's up-arrow notation. Each hyperoperation may be understood recursively in terms...

such as tetration, hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or Conway chained arrow notation. In the PBS science program Cosmos:...

chained arrow notation, m o s e r < 3 → 3 → 4 → 2 , {\displaystyle \mathrm {moser} <3\rightarrow 3\rightarrow 4\rightarrow 2,} and, in Knuth's up-arrow notation...