hyperoperation
Generalization of addition, multiplication, exponentiation, tetration, etc.
EntityQ1569997
Also known as hyperoperation sequence · hyperoperations
- Subclass of
Overview
All data
8 statements · 13% with external sources · numbers in brackets are citations
- Defining formula
a \uparrow^m b = \underbrace{a \uparrow^{m-1} \left(a \uparrow^{m-1} \left[a \uparrow^{m-1} \left(\ldots \left[a \uparrow^{m-1} \left(a \uparrow^{m-1} a\right)\right] \ldots \right)\right]\right)}_{\displaystyle b\mbox{ copies of }a},\quad m \geq 0
- In defining formula
asymbol represents: numbermsymbol represents: non-negative integer\uparrowsymbol represents: Knuth's up-arrow notation
On other databases
3 identifiers linking hyperoperation across the web's reference databases