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Favorite Equation?


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What's your favorite chem/physics/math equation?  

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  1. 1. What's your favorite chem/physics/math equation?

    • PV=nRT
      14
    • e=mc^2
      25
    • F=ma
      15
    • e^(pi*i) + 1 = 0
      22
    • Fg = -G(m1m2/r^2)er
      7
    • integ(uv) = uv - integ(v du)
      5
    • a^2+b^2=c^2
      10
    • zeros(ax^2+bx+c) = (-b +- sqrt(b^2-4ac))/(2a)
      3
    • e=nhv
      0
    • Other
      31


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[math][ik,m] = \tfrac{1}{2}(\frac{\partial g_{im}}{\partial x^k}+\frac{\partial g_{km}}{\partial x^i} - \frac{\partial g_{ik}}{\partial x^m})[/math], and [math]\{^m_{ik}\} = g^{mn}[ik,n][/math]. This took quite a while to learn to compose, yes!!! How satisfying to speak the same language. Party at the TOWER.

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cos(pi/5) = ¼ + ¼*√5

 

I like this one most, because I derived it myself as highschool boy, long before I ever had heard of group theory, Galois theory etc. At school we only had to learn cos(pi), cos(pi/2), cos(pi/3), cos(pi/4) and cos(pi/6) as special values. It was very striking to me that cos(pi/5) also has a special value.

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Guest Veritas

I have to say my personal favourite is Newton's second law of motion: F=ma. Why? It's simple, sleak and the only one I can remember without thinking for a second. But of course, the three main kinematic relations:

v=u+at

s=ut+0.5at²

v²=u²+2as

and obviously their angular brothers which I don't know how to write the symbols for on the computer.

 

Derek.

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I voted for this (integ(uv) = uv - integ(v du))one cause in Spanish (I am Spaniard) we memorice it with a funny phrase:

 

S(uv) = uv-S(v du). S(uv) = Un Viejo-Salido(Viola Dos Universitarias).

And this means: A green old man raped two universitarian girls.

Funny?

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I like Lagrange (and Laplace) transforms, they're pretty cool.

Or this:

 

 

[math]1... (H=\sum_i \Delta_i X_i)[/math]

[math]2... H=\sum_i (\Delta_i X_i + h_i Z_i) +\sum_{ij} J_ij Z_i Z_j[/math]

[math]3... H=\sum_i h_i Z_i +\sum_{ij} J_ij Z_i Z_j[/math]

[math]4... E=\sum_i h_i s_i +\sum_{ij} J_ij s_i s_j[/math]

 

..which defines a quantum 'process', apparently (and the ordering is crucial). But I only have an idea what it all means (X and Z are the Pauli matrices, at least I know what a matrix is)...

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