Difference between revisions of "Absane"
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Latest revision as of 02:24, 9 July 2008
Absane is a member of SciForums and one of three moderators of Free Thoughts.
 Absane drinks Athelwulf's pee.
 nobody pays attention to Absane.
 nobody likes absane because he is a camper.
He's as interesting as a math major, and has about as much depth as a vector of order one. If he was a matrix, he'd have only trivial solutions. He likes his truck a lot, even though its rusting to pieces.
Favorite Equations
 <math>F = \frac{dp}{dt} </math>
 <math>i^i = e^{\pi/2}</math>
 <math>\gamma = \lim_{n \rightarrow \infty } \left( \left( \sum_{k=1}^n \frac{1}{k} \right)  \ln (n) \right)=\int_1^\infty\left({1\over\lfloor x\rfloor}{1\over x}\right)\,dx</math>
 Collatz Conjecture:
<math>f(n) = \begin{cases} n/2 &\mbox{if } n \equiv 0 \\ 3n+1 & \mbox{if } n\equiv 1 \end{cases} \pmod{2}.</math>
<math>a_i = \begin{cases}n & \mbox{for } i = 0 \\ f(a_{i1}) & \mbox{for } i > 0\end{cases}</math>
<math>\forall n \in \mathbb{N} > 0 \ \exists i \in \mathbb{N}: (a_0 = n \Rightarrow a_i = 1)</math>
 <math>\lim_{n \rightarrow \infty } \left( \sum_{k=1}^n \frac{1}{k^r} \right) = \lim_{n \rightarrow \infty } \left( \prod_{p \in P_n} \frac{1}{1\frac{1}{p^r}} \right), P_n = \{xx \, \mbox{prime}, x \leq n\}</math>
Independent Research
Some odd time ago, Absane derived an equation very close to the Ramanujan expansion for the harmonic series <math>1 + \frac{1}{2}+ \frac{1}{3}+ ... + \frac{1}{n1}+ \frac{1}{n}</math>
 <math>H_{n} \sim ln(\sqrt{n^{2} + n}) + \gamma</math>
He showed it to his mum, and got a cookie.
http://aycu22.webshots.com/image/30941/2002150938340367250_th.jpg