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
    n copies of 1 added to a.
  2. Multiplication
    n copies of a combined by addition.
  3. Exponentiation
    n copies of a combined by multiplication.
  4. Tetration
n copies of a combined by exponentiation, right-to-left.

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

Example[change | change source]

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.