e/Tetration

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has glosseng: In mathematics, tetration (also known as hyper-4) is an iterated exponential, the first hyper operator after exponentiation. The word tetration was coined by English mathematician Reuben Louis Goodstein from tetra- (four) and iteration. Tetration is used for the notation of very large numbers but has few practical applications, so it has only been studied in pure mathematics. Shown here are examples of the first four hyper operators, with tetration as the fourth: #addition #::The primary and simplest operation. #multiplication #:a \times n = \underbracea + a + \cdots + a}_n #::generally also one of the primary operations, but in special case (for natural numbers) can be seen as a added to itself, n times. #exponentiation #:a^n = \underbracea \times a \times \cdots \times a}_n #::a multiplied by itself, n times.
lexicalizationeng: tetration
lexicalizationeng: Ultra Exponential Function
instance ofe/Large numbers
Meaning
German
has glossdeu: In der Mathematik, insbesondere der Zahlentheorie, spricht man von einem Potenzturm, wenn der Exponent einer Potenz noch weitere Male potenziert wird und sich die Exponenten somit zu einem Turm addieren. Die Schreibweise tritt üblicherweise für Zahlen in Kraft, bei denen der Exponent in normaler Schreibweise zu groß wäre, z. B.:
lexicalizationdeu: Potenzturm
Esperanto
has glossepo: En matematiko, supereksponento aŭ 4-hiperoperatoro estas ripetita eksponenta funkcio, la sekva hiperoperatoro post potencigo.
lexicalizationepo: Super-eksponento
lexicalizationepo: supereksponento
French
has glossfra: La tétration (ou encore nappe exponentielle, hyperpuissance, tour de puissance, super-exponentiation ou hyper4) est une , le premier hyper opérateur après l'exponentiation.
lexicalizationfra: Tetration
lexicalizationfra: tétration
Hungarian
has glosshun: A tetráció (más néven exponenciális leképezés, hatványtorony, szuperhatványozás vagy hyper4) valójában iteratív hatványozás, az első hyper operátor a hatványozás után. A tetráció szót Reuben Louis Goodstein alkotta meg a tetra és az iteráció szavakból. A tetrációt nagyon nagy számok jelölésére használják.
lexicalizationhun: tetráció
Italian
has glossita: La tetrazione è la quarta operazione aritmetica, dopo somma, prodotto e potenza.
lexicalizationita: tetrazione
Japanese
has glossjpn: テトレーション (tetration) は、冪乗の次の、4番目のハイパー演算である。つまり、自らの冪乗を指定された回数反復する演算である。
lexicalizationjpn: テトレーション
Russian
has glossrus: В математике тетрация или гипероператор-4 — это итерационная функция экспоненты, следующий гипероператор после возведения в степень. Тетрация используется для описания больших чисел.
lexicalizationrus: тетрация
Media
media:img2008analuxpFig1d.jpg
media:imgInfinite power tower.png
media:imgInfinitePowerTower.gif
media:imgReal-tetration.png
media:imgTetration analytic extension.svg
media:imgTetration escape.gif
media:imgTetration escape.png
media:imgTetration large.png
media:imgTetration period.gif
media:imgTetration period.png
media:imgTetrationComplexColor.png
media:imgTetrationConvergence2D.png
media:imgTetrationConvergence3D.png

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