What is your favourite scientific equation?

Thanks Ben. This LaTeX writing style is very demanding on the concentration!

 

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You get used to it after a while. TONS better than microsof equation editor.

 

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How could you integrate the LaTeX capabilities in a program like Word though? Is it possible?

 

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The only way I can think of is to do it is to post code on a LaTeX-enabled forum (such as this one), then copy and paste the generated LaTeX images into your MS Word doc.

 

With TexPoint:

http://texpoint.necula.org/

 

Thanks quad. That's exactly what I was looking for

 

The science equation I like the most is \(F = \frac{dp}{dt}\)

However, from the math side... I have a few.

\(i^i = e^{-\pi/2}\\)

Gamma constant: \(\gamma = \lim_{n \rightarrow \infty } \left( \left( \sum_{k=1}^n \frac{1}{k} \right) - \ln (n) \right)=\int_1^\infty\left({1\over\lfloor x\rfloor}-{1\over x}\right)\,dx\)

And of course, the Collatz Conjecture:
\(f(n) = \begin{cases} n/2 &\mbox{if } n \equiv 0 \\ 3n+1 & \mbox{if } n\equiv 1 \end{cases} \pmod{2}.\)

\(a_i = \begin{cases}n & \mbox{for } i = 0 \\ f(a_{i-1}) & \mbox{for } i > 0\end{cases}\)

\(\forall n \in \mathbb{N} > 0 \ \exists i \in \mathbb{N}: (a_0 = n \Rightarrow a_i = 1)\)

(note... TeX stolen from Wiki since I don't really know TeX)

 

ewww. Number theory. God I hate mathematics for the sake of mathematics

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