Tetration

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Tetration is the hyperoperation which comes after exponentiation.[1] means y exponentiated by itself, (x-1) times.[2] [3] [4] List of first 4 natural number hyperoperations, the inverse of tetration is the super root shown in the example

  1. Addition
    1.subtraction
    a succeeded n times. a- n={aiiiiiiiiiiiiiiii….}n
  2. Multiplication 2.division a/n={a-a-a-a}n
    a added to itself, n times.
  3. Exponentiation. 3.root
    \/NTa={a/a/a}n
    a multiplied by itself, n times. 4.Tetration. 4.super root VNTas ={vantage…}n
    Note (operator associativity):
    a exponentiated by itself, n-1 times.

The above example is read as "the nth tetration of a".

Example[change | change source]

For the example, addition is assumed.

  1. 27

References[change | change source]

  1. "Google Answers: addition, multiplication, exponentiation, then ???". Answers.google.com. Retrieved 2011-11-02.
  2. Daniel Geisler. "tetration.org". Tetration. Retrieved 2011-11-02.
  3. "Power Tower - from Wolfram MathWorld". Mathworld.wolfram.com. Retrieved 2011-11-02.
  4. "The Fourth Operation". Retrieved 2019-09-11.