Question Number 3052 by Filup last updated on 04/Dec/15
$$\mathrm{Ever}\:\mathrm{used}\:\mathrm{Arrow}\:\mathrm{Notation}? \\ $$$$ \\ $$$$\mathrm{if}\:\mathrm{my}\:\mathrm{memory}\:\mathrm{is}\:\mathrm{correct}: \\ $$$$\mathrm{3}\uparrow\mathrm{3}=\mathrm{3}×\mathrm{3}×\mathrm{3}=\mathrm{3}^{\mathrm{3}} \\ $$$$\mathrm{3}\uparrow\uparrow\mathrm{3}=\left(\mathrm{3}\uparrow\mathrm{3}\right)\uparrow\mathrm{3}=\mathrm{3}^{\mathrm{3}} ×\mathrm{3}^{\mathrm{3}} ×\mathrm{3}^{\mathrm{3}} \\ $$$$\mathrm{etc}. \\ $$
Commented by 123456 last updated on 04/Dec/15
$${n}\in\mathbb{N}^{\ast} \\ $$$${a}\uparrow{n}={a}×{a}×...×{a}={a}^{{n}} \\ $$$${a}\uparrow\uparrow{n}={a}\uparrow\left({a}\uparrow\left({a}\uparrow....\right)\right)\:\left(\mathrm{tretation}\right) \\ $$$$\vdots \\ $$$$\mathrm{its}\:\mathrm{knuth}\:\mathrm{notation}\:\mathrm{for}\:\mathrm{hiper}\:\mathrm{operation} \\ $$
Commented by Filup last updated on 04/Dec/15
$$\mathcal{T}{hanks}\:{for}\:{the}\:{correction}! \\ $$