Super-logarithm (nonfiction): Difference between revisions
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In [[Mathematics (nonfiction)|mathematics]], the '''super-logarithm''' (or '''tetra-logarithm''') is one of the two inverse functions of tetration. | In [[Mathematics (nonfiction)|mathematics]], the '''super-logarithm''' (or '''tetra-logarithm''') is one of the two inverse functions of tetration. | ||
Just as exponentiation has two inverse functions (roots and logarithms), tetration has two inverse functions (super-roots and super-logarithms)). | Just as exponentiation has two inverse functions (roots and [[Logarithm (nonfiction)|logarithms]]), tetration has two inverse functions (super-roots and super-logarithms)). | ||
There are several ways of interpreting super-logarithms: | There are several ways of interpreting super-logarithms: | ||
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== Nonfiction cross-reference == | == Nonfiction cross-reference == | ||
* [[Logarithm (nonfiction)]] | |||
* [[Mathematics (nonfiction)]] | * [[Mathematics (nonfiction)]] | ||
Latest revision as of 09:12, 18 November 2017
In mathematics, the super-logarithm (or tetra-logarithm) is one of the two inverse functions of tetration.
Just as exponentiation has two inverse functions (roots and logarithms), tetration has two inverse functions (super-roots and super-logarithms)).
There are several ways of interpreting super-logarithms:
- As the Abel function of exponential functions,
- As the inverse function of tetration with respect to the height,
- As the number of times a logarithm must be iterated to get to 1 (the Iterated logarithm),
- As a generalization of Robert Munafo's large number class system,
The precise definition of the super-logarithm depends on a precise definition of non-integral tetration. There is no clear consensus on the definition of non-integral tetration and so there is likewise no clear consensus on the super-logarithm for non-integer range.
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External links:
- Super-logarithm @ Wikipedia