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# Science Fair Project Encyclopedia

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# User:Daelin

I think I'm going to get this tatooed around my ankle. I hope I remembered it right…

## The Fundamental Theorem of Calculus in one line

$\forall ( f(b) - f(a) | a = x_0 < x_1 < ... < x_n = b ) \to f(b) - f(a) = f(x_n) - f(x_0) = f(x_n) - f(x_{n-1}) + f(x_{n-1}) - \ldots - f(x_1) + f(x_1) - f(x_0) = \sum_{i=1}^n [ f(x_i) - f(x_{i-1}) ] = \sum_{i=1}^n [ f'(c_i)(x_i - x_{i-1}) ] = \sum_{i=1}^n [ f'(c_i) \Delta x ] \to \lim_{\| \Delta \| \to 0} \sum_{i=1}^n [ f'(c_i) \Delta x ] = \int_{a}^{b} f'(x)\,dx$

## Malachor V

Malachor V is a stub of an article I saw created. It improved rather surprisingly, although still a stub. It probably always will be a stub. After Wikipedia:Votes for deletion/Malachor V I merged it with Planets of Star Wars. KOTOR II might have been a more interesting place.

Last updated: 06-01-2005 00:57:27
03-10-2013 05:06:04