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What is the geometric, physical or other meaning of the tetration or more high hyperoperations?

Is it exists in general or it has only math concept?

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    Could you elaborate on this distinction you make between existing in general and having only math concept?2012-09-20
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    @joriki, sorry for my language. I mean is there physics applications of tetration? Or it's only have theoretical meaning. For example, first and secod derivatives of function is velocity and acceleration in terms of kinematics. Fermat's Last Theorem has no applications but has a great theoretical value.2012-09-21

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