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The most beautiful formula of all

  1. Jul 24, 2016 #1

    fresh_42

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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##
     
  2. jcsd
  3. Jul 24, 2016 #2
  4. Jul 24, 2016 #3

    micromass

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    ##E = m\cdot (a^2 + b^2)##
     
  5. Jul 24, 2016 #4

    strangerep

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    Umm,... wasn't there a PF competition like this recently?
     
  6. Jul 24, 2016 #5

    fresh_42

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    I might have missed it. Sure it was recently?
     
  7. Jul 24, 2016 #6

    strangerep

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  8. Jul 24, 2016 #7

    fresh_42

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    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.
     
    Last edited: Jul 24, 2016
  9. Jul 25, 2016 #8

    jim hardy

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    e i π + 1 = 0
     
  10. Jul 25, 2016 #9

    fresh_42

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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. Jul 25, 2016 #10

    micromass

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  12. Jul 25, 2016 #11

    fresh_42

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    Thank you. I appreciate references (from certain people I know I can rely on).
     
  13. Jul 27, 2016 #12

    George Jones

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    ##d^2 = 0## is nice, too.
     
  14. Jul 27, 2016 #13
    I can see now that there are a whole family of them :-) You're a man after my own heart George.
     
  15. Jul 28, 2016 #14

    mathwonk

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