Hyperoperation - Examples

Examples

This is a list of the first seven hyperoperations.

n Operation Definition Names Domain
0 hyper0, increment, successor, zeration b arbitrary
1 hyper1, addition arbitrary
2 hyper2, multiplication arbitrary
3 hyper3, exponentiation a > 0, b real, or a non-zero, b an integer, with some multivalued extensions to complex numbers
4 hyper4, tetration a and b integers > 0 (with some proposed extensions)
5 or hyper5, pentation a and b integers > 0
6 hyper6, hexation a and b integers > 0

See also Tables of values.

Read more about this topic:  Hyperoperation

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