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The equation in the image shown below (outlined in blue) was found on the cover of a magazine, along with several other "math equation jokes" like the "I heart pi" joke. My friends and I haven't been able to figure this one out, and I can't seem to identify the last part of the equation.

It's obvious that the first part (square root of negative one) is "I", and the heart symbol is self-explanatory. I suspect that "$mc^2$" corresponds to "e" (but perhaps this is intended to be purely phonetic, or maybe intended to mean "energy").

enter image description here

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  • $\begingroup$ After looking over this extensively, I have concluded this is completely meaningless. Maybe this is the discovery of a whole new type of artistic mathematics? $\endgroup$ – Asimov Sep 10 '14 at 22:46
  • $\begingroup$ @LoganMaingi That is a very good guess for a random guess. $\endgroup$ – Lord Soth Sep 10 '14 at 22:55
  • $\begingroup$ @LoganMaingi It then becomes "I love MC Squareo," where MC Squareo is somebody like MC Hammer. $\endgroup$ – Lord Soth Sep 10 '14 at 22:56
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    $\begingroup$ @LoganMaingi Ah! I think that might solve it! The magazine is from Edmund Optics, so "I ♥ E O" seems to be logical (and clever, I suppose). Gosh, now I feel like the message just ended up being "Be sure to drink your Ovaltine"... $\endgroup$ – Evan Wondrasek Sep 10 '14 at 22:57
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    $\begingroup$ @LoganMaingi Want to promote your comment to an answer? I think you earned a green checkmark for this one. $\endgroup$ – Evan Wondrasek Sep 10 '14 at 23:04
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  • $\sqrt{-1}$ is referring to $i$, the imaginary unit. $i$ satisfies the equation $i^2 = -1$. This is sometimes written as $i = \sqrt{-1}$, though this is abuse of notation in some cases depending on your definition of $\sqrt{}$.
  • ♥ is a heart shape, which is often interpreted as meaning or somehow being related to love.
  • $E = mc^2$ is Einstein's formula for the rest mass-energy of a massive body. $m$ is the rest mass (or invariant mass), and $c$ is the speed of light.
  • $\frac1f=\frac1i+\frac1o$ is the thin lens equation, which describes the distances of an object and the image of that object (which may be real or virutal) relative to a thin refractive lens in geometric optics. $f$ is the focal length of the lens which is defined by this formula in the limit $o \rightarrow \infty$.

So, this line could be read as (ignoring capitalization, punctuation, etc.) "I love eo". As the OP states, this image is taken from Edmund Optics, which I guess abbreviates their name as "eo". With that interpretation, it seems to be a promotional piece of some sort. This image on their website confirms that this is the intended interpretation.

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Those number 1's are sloppy -- or is the bracketed amount on the right actually $-2$ instead of $-1$. I will assume $-1$.

Then, the item in brackets can be rewritten as $$ \frac{if}{f-i} $$

But, I am not sure what this means. Following from before, "I love [E]nergy if "over" f-i???

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