mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though Knuth's...
53 KB (6,130 words) - 20:56, 12 August 2024
Knuth's up-arrow notation (section Using tetration)
now called hyperoperations. Goodstein also suggested the Greek names tetration, pentation, etc., for the extended operations beyond exponentiation. The...
28 KB (3,390 words) - 19:42, 12 May 2024
fifth hyperoperation. Pentation is defined to be repeated tetration, similarly to how tetration is repeated exponentiation, exponentiation is repeated multiplication...
9 KB (1,746 words) - 16:20, 12 August 2024
Reuben Goodstein after the Greek prefix of n suffixed with -ation (such as tetration (n = 4), pentation (n = 5), hexation (n = 6), etc.) and can be written...
43 KB (5,787 words) - 20:57, 12 August 2024
in minor details of rounding) and forms an inverse to the operation of tetration. The iterated logarithm is useful in analysis of algorithms and computational...
7 KB (746 words) - 02:59, 30 June 2024
\uparrow 2\uparrow \uparrow (3+2\uparrow \uparrow 8),} which contains three tetrations. In 2019 this was further improved to: N ″ = ( 2 ↑↑ 5138 ) ⋅ ( ( 2 ↑↑...
18 KB (2,468 words) - 19:42, 4 July 2024
Wiktionary, the free dictionary. ^^ may refer to: A kaomoji Tetration, the ASCII form of the tetration operator Record separator, control character in the caret...
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= 2 × 2 {\displaystyle 2^{2}=2\times 2} . It is also equal to 32 (see tetration). The aliquot sum of 16 is 15, within an aliquot sequence of four composite...
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of two are common. The first 20 of them are: Also see Fermat number, tetration and lower hyperoperations. All of these numbers end in 6. Starting with 16...
38 KB (3,851 words) - 20:54, 22 July 2024
exponentiation; this operation is sometimes called hyper-4 or tetration. Iterating tetration leads to another operation, and so on, a concept named hyperoperation...
104 KB (13,629 words) - 22:56, 9 August 2024