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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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{{Redirect category shell| |
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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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}} |
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== Notation == |
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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. |
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* Pentation can be written as a ] as <math>a{b} |
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</math> |
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* In ], hexation can be represented as <math>a \uparrow \uparrow \uparrow \uparrow \uparrow b |
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</math> or <math>a {\uparrow}^5 {b} |
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</math> |
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