The most beautiful formula of all

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  • #1
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I like to do a little survey and ask all who are interested:
$$\text{What is the formula you regard as the most beautiful of all?}$$
In order to avoid everybody answer the same, please don't post one of the following:
  • ##E = m \cdot c^2##

  • ##E^2 = m^2c^4 + p^2c^2##

  • ##e^{i\pi} + 1 = 0##
 
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  • #3
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  • ##E = m \cdot c^2##

##E = m\cdot (a^2 + b^2)##
 
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  • #4
strangerep
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$$\text{What is the formula you regard as the most beautiful of all?}$$
Umm,... wasn't there a PF competition like this recently?
 
  • #7
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https://www.physicsforums.com/threads/pf-contest-equations-as-art.863656/

My entry is at post #7. (The most interesting aspect of that thread is how some people seem unable to detect visual beauty/elegance, yet can perceive beauty-in-meaning quite deeply.)
Ok, but that's slightly different. I don't mean beauty as a concept of art but in the way the excluded formulas indicate. I admit that in your case it fulfills both criteria. I had to exclude the above because especially Euler's equation is widely seen as to be the most beautiful. The popular version ##E=mc^2## certainly comes in close. I wonder whether there are others of comparable beauty.
 
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  • #8
jim hardy
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e i π + 1 = 0
 
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  • #9
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I've found a beautiful one today
$$grad \; f = \lim_{V \rightarrow 0} \frac{\oint_{\partial \mathcal{V}} f d \vec{A}}{V}$$
 
  • #11
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Thank you. I appreciate references (from certain people I know I can rely on).
 
  • #13
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##d^2 = 0## is nice, too.

I can see now that there are a whole family of them :-) You're a man after my own heart George.
 

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