Over-Exponential functions
editOver-exponentiation is a mathematical operation, written as , involving three numbers, the base b, exponent (or power) n and the over-exponent (or over-power) m. When m is a positive integer, over-exponentiation corresponds to repeated exponentiation.
just as exponentiation by a positive integer corresponds to repeated multiplication:
A formula to calculate when m is not a positive integer is:
Prove
editThe inverse function
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- If you want to know v:
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- If you want to know m
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- If you want to know n
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- If you want to know b
Tests
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