User:Chriskl

Anyone who looks at my page, just ignore this stuff, it's just a handy way of mailing people maths formulas :)

[edit] 1234

$2^{3^{(4+1)}} = 2^{243} = 14134776518227074636666380005943348126619871175004951664972849610340958208$

$4^{3^{(2+1)}} = 4^{27} = 18014398509481984$

$y = \gamma+\sin\gamma\cos\gamma+\frac{4}{3}(1-\cos^3\gamma)$

$x = sinφ$

The closest 3rd degree polynomial that can resemble the above expression between 0 and $\frac{\pi}{2}$ is:

$y_2 = 2 ( \gamma+ \gamma^2 - \frac{2}{3}\gamma^3 )$

The inverse function for this interval is:

$γ = {q + [q 2 + (r - p 2) 3] 1 / 2} 1 / 3 + {q - [q 2 + (r - p 2) 3] 1 / 2} 1 / 3 + p}$

where

$p = \frac{1}{2}$ ,

$q = \frac{1}{8}+1+y_2$ , and

$r = -\frac{1}{2}$ ,