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One in my list is:

[tex]

e^{i\pi} + 1 = 0

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and definately, the Pythagoras theorem... as for physics.. the energy-mass equivalence is another beautiful formula:

[tex]

E = mc^{2}

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and.. the Bohr's formula for quantized angular momentum:

[tex]

L = \frac{nh}{2\pi}

[/tex]

I also think that the Dirac equation is a beautiful result as it predicted the existence of a positron before it's actual discovery..

any others u can think of??