The 11 most beautiful mathematical equations

[Jazzy]

Mathematical equations aren't just useful -- many are quite beautiful. And many scientists admit they are often fond of particular formulas not just for their function, but for their form, and the simple, poetic truths they contain.



While certain famous equations, such as Albert Einstein's E = mc^2, hog most of the public glory, many less familiar formulas have their champions among scientists. LiveScience asked physicists, astronomers and mathematicians for their favorite equations; here's what we found:

Do you have a favorite equation? If so, which one?

 

[DrLeftover]

Two plus Two equals Three (or Five), and I can mathematically prove both.

 

[Jazzy]

Two plus Two equals Three (or Five), and I can mathematically prove both.

I'm ready to see you prove both!

 

[Evil Eye]

How's this?



a = b = 1

1 = 1[sup]2[/sup]

-b = -b[sup]2[/sup]

a[sup]2[/sup] - b = a[sup]2[/sup] - b[sup]2[/sup]

a ( a - b ) = ( a + b ) ( a - b )

a = a + b

1 = 2

Spoiler

Never divide by zero, people.

 

[DrLeftover]

I forgot I owed you this one.

OK, this is easier to do with visual aids and makes the point better, but I'll leave you to cut up bits of paper on your own.



First, take the number 2. In some circles two is an approximation of everything from 1.5 to 2.4. We round one and a half up to two, and anything under two and a half down.



If you add 1.5 plus one point five, you end up with a natural 3.

2.4 plus its clone give you 4.8 which would be rounded up to....



Thank you

 

[DrLeftover]

How's this?



a = b = 1

1 = 1[sup]2[/sup]

-b = -b[sup]2[/sup]

a[sup]2[/sup] - b = a[sup]2[/sup] - b[sup]2[/sup]

a ( a - b ) = ( a + b ) ( a - b )

a = a + b

1 = 2

Things like this give me the fantods.



I'm OK with numbers being numbers. But when you go



Fn+1 = Fn + Fn-1



I start to get cold chills up my spine.





Oh, by the way, that's the formula for the Fibonacci Squence.



More - http://themediadesk.com/newfiles4/fibonacci.htm

 

[Evil Eye]

Oh, by the way, that's the formula for the Fibonacci Squence.

I object, it's incomplete.

F[sub]0[/sub] = 1

F[sub]1[/sub] = 1

F[sub]n[/sub] = F[sub]n-1[/sub] + F[sub]n-2[/sub]

n ∈ ℕ

n > 1



Nice article though. Very realistic