e/Hyperoperation

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Information
has glosseng: In mathematics, the hyperoperation sequence is a sequence of binary operations that starts with addition, multiplication and exponentiation, called hyperoperations ; so a is the base, b is the exponent (or hyperexponent which somewhat resembles the hyperoperation sequence. The original Ackermann function with three arguments used the same recursion rule, but it differs from modern hyperoperations in at least two ways. First, it assigned addition to n=0, multiplication to n=1 and exponentiation to n=2. Secondly, the initial conditions of \phi indicate that \phi(a, b, 3) = a \uparrow\uparrow (b + 1), which produces very different values than hyperoperations above exponentiation.
lexicalizationeng: Hyper operation
lexicalizationeng: Hyper operator
lexicalizationeng: hyperoperation
instance ofe/Large numbers
Meaning
German
has glossdeu: Der Hyper-Operator ist eine Fortsetzung der herkömmlichen mathematischen Operatoren der Addition, Multiplikation und Potenzierung. Er dient zur kurzen Darstellung großer Zahlen wie Potenztürmen.
lexicalizationdeu: Hyper-Operator
lexicalizationdeu: Hyperoperator
Esperanto
has glossepo: En matematiko, hiperoperatoro estas funkcio de tri argumentoj, aŭ familio de la hiper-n funkcioj de du argumentoj:
lexicalizationepo: Hiper-operatoro
lexicalizationepo: hiperoperatoro
Japanese
has glossjpn: ハイパー演算子 (hyper operator) は、加算、乗算、冪乗を一般化した演算のための演算子である。
lexicalizationjpn: ハイパー演算子
Russian
has glossrus: Гипероператоры можно определить следующим образом:
lexicalizationrus: Гипероператор
Chinese
has glosszho: 超运算序列,是数学中一种二元运算的序列,前几项分别为加法、乘法、幂,这些运算通称为超运算。序列的第n项称为超-n运算。英文则由鲁宾·古德斯坦(Reuben Goodstein)命名,由n的希腊语前缀加上后缀-ation组成(例如超-4运算称为tetration,超-5运算称为pentation)。 使用高德纳箭号表示法可将超运算算子表示为(n-2)个箭头。
lexicalizationzho: 超运算

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