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If we call addition (and subtraction as they are the same) the first hyperoperator, multiplication (and division) the second, exponentiation (radicals, indices and logarithms) the third, then tetration the fourth and so on, we then have a definition of a hyperoperator.

My question is:

Is there a way to have a fractional hyperoperator such as an operation half way between addition and subtraction which would be the 1 + 1/2’th hyperoperator.


marked as duplicate by Lord Shark the Unknown, Brahadeesh, Christopher, MR_BD, José Carlos Santos Oct 24 '18 at 13:03

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  • $\begingroup$ Some places to start reading: here and here. $\endgroup$ – Will Orrick Oct 23 '18 at 12:56
  • $\begingroup$ Hmm, I assume you want to replace in your question "multiplication" for "subtraction"? $\endgroup$ – Gottfried Helms Jan 16 at 3:14
  • $\begingroup$ I mean multiplication, subtraction is just addition, literally: a - b = a + (- b) $\endgroup$ – L. McDonald Jan 16 at 4:14

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