The Binary-Doovol is equal to \(2\uparrow\uparrow 20\) using up-arrow notation.[1] The term was coined by Wikia user Username5243.
Approximations[]
Notation | Approximation |
---|---|
Arrow notation | \(2\uparrow\uparrow 20\) (exact) |
Bowers' Exploding Array Function | \(\{2,20,2\}\) (exact) |
Hyper-E notation | \(\textrm{E}[2]1\#20 \) (exact) \(\approx \textrm{E}19729\#16\) |
Fast-growing hierarchy | \(f_3(16)\) |
Slow-growing hierarchy | \(f_{\varepsilon_0}(20)\) |
Sources[]
Megoogol · Meg-Googol · Meg-Doogol · Meg-Kiloogol · Meg-Kil-Googol · Meg-Dukiloogol · Meg-Trukiloogol · Dumegoogol · Dumeg-Googol · Dumeg-Kiloogol · Dumeg-Dukiloogol · Trumegoogol · Trumeg-Kiloogol · Tetrumegoogol · Pentumegoogol · Gigoogol · Gig-Googol · Gig-Kiloogol · Gig-Megoogol · Dugigoogol · Trugigoogol · Teroogol · Duteroogol · Truteroogol · Petoogol · Ectoogol · Zettoogol · Yottoogol · Xennoogol · Wekoogol
Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = \(a \uparrow^c b\) in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.