Ln(x) = -ln(1/x)

>if the additive identity of a ring has a multiplicative inverse, the ring has exactly one element

[math]i^i = e^{-{π \over 2}} \approx 0.20787957635 [/math]

Although you are right, I must point out that (lim x -> -inf) e^x goes toward 0, so it's not an intuitive counterexample in this case.

142857
758241

1/7 = 0,14285714285714285714285714285714

yeah it blows mind a little

You are like a little baby

aᵖ = a (mod p)

look at the definition, look at the common operations and prove to yourself all that shit. write as logax=y as a^y=x if in doubt

[eqn]10^2 + 11^2 + 12^2 = 13^2 + 14^2[/eqn]

[eqn]21^2 + 22^2 + 23^2 + 24^2 = 25^2 + 26^2 + 27^2[/eqn]

[eqn]\forall n \in \mathbb{N}, \sum _{i=2 n^2+n}^{2 n^2+2 n} i^2=\sum _{i=2 n^2+2 n+1}^{2 n^2+3 n} i^2[/eqn]