Question

What do you think is the coolest equation?

Answer 1

Nice question

Answer 2

The cubic formula

Answer 3

What do you mean by the coolest equation* my bad :P

Answer 4

\[\Huge e^{i\pi}+1=0\]

Answer 5

Albert and Mileva Maric Einstein's equation E=mc^2 (equivalence of mass and energy in special and general relativity) is a popular favourite ...
but I quite like y = mx, or y=mx +c. They're simpleish and I can almost understand them. emphasis on almost.
In terms of "coolest" possibly something in cryogenics ?
Ah, I've just seen the post about the complex number identity. Am I being picky if i ask whether or not an equation is different from an identity ?

Answer 6

@steve816
Is there an order of equation for which there isn't a formula here ? Quad ok, cubic ok, but there's oen somehwer maybe higher that doesn't have one ?

Answer 7

@osprey Yeah, now you are getting into galois theory and abstract algebra stuff

Answer 8

@steve816 So I DID remember that tv show about Galois. Wasn't he killed in a duel in france or something. (there used to be a french cigarette called a Gaulois, which was pretty ... hmmm )

Answer 9

Here are the roots for quartic equations:

Answer 10

lol so long

Answer 11

@osprey Yeah, he got shot in a duel at only age 20, crazy to think how much he accomplished at such a young age.

Answer 12

@steve816 would he have liked a rubik's cube ?

Answer 13

@osprey lol of course

Answer 14

@steve816 his hands would have been a blur as he "solved" it in 3.14159 nan seconds ? British politician ed miliband was app a dab hand at rubik's. My dear late mum tried it a few thousand times. someone in the family has the heirloom, and it was pretty well worn. I don't think she ever cracked it, "or picked the lock" maybe ?

Answer 15

y=mx+b

Answer 16

\[\oint_\gamma f(z) \, dz = 2\pi i\sum_{i=1}^n \mathrm{Res}(f,a_k) \qquad \heartsuit\]