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#REDIRECT ]
In ], '''hexation''' (or '''hyper-5''') is the next ] (infinite ] of arithmetic operations) after ] and before Heptation. It is defined as ] (repeated) pentation


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<big><math display="inline">a\uparrow\uparrow\uparrow\uparrow b = \underbrace{a\uparrow\uparrow\uparrow(a\uparrow\uparrow\uparrow(\cdots(a\uparrow\uparrow\uparrow a)))}_{b \text{ copies of } a}
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</math></big>
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== Notation ==
There is little consensus on the notation for hexation; as such, there are many different ways to write the operation. However, some are more used than others, and some have clear advantages or disadvantages compared to others.

* Pentation can be written as a ] as <math>a{b}
</math>
* In ], hexation can be represented as <math>a \uparrow \uparrow \uparrow \uparrow \uparrow b
</math> or <math>a {\uparrow}^5 {b}
</math>

Revision as of 06:55, 6 January 2024

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