Top Ten Coolest Mathematical Equations

Nerds and geeks alike, cast your votes on your favourite equations used in mathematics, science, economics; whatever you please.

The Top Ten

1 Schrödinger Equation [(-ħ/2m)Δ^2Ψ+VΨ=iħ(δΨ/δt)]

My god I could sense everything into this very unique complex structured equation like oh my god I could sense that this equation as the infinitness of reality and the pure center structure of atoms like holy jedi god this is the most important and most extraordinary equation that has ever existed! - Kevinsidis

Oh my God! What the hell is all this?! Symbols and what not. This is 'cool?! ' I just don't get it. Explain, I demand! - Britgirl

Ha ha my dear this is the equation to find the structure of the atoms - Kevinsidis

Love this equation. So much. Everything about it is brilliant! - PositronWildhawk

It is that something does not exist unless it is observed. - CityGuru

2 Einstein's Mass-energy Equivalence Formula [E=mc^2]

I have seen this so many times in my life, yet I still have no idea how to solve this

Not only is it cool, but most people have heard of it! It's well known! - Beatlesboy9

I like this, Einstein! - HezarioSeth

3 Maxwell's Equations [Δ.D=ρ, Δ.B=0, ΔxE=-δB/δt, ΔxH=J+δD/δt]

I have no idea what this is but it looks nice - Teravolt1422

4 General Relativity Formula [Gμν=8πG(Tμν+ρΛgμν)]

There is more to General than Special!

5 Wave Equation [δ^2u/δt^2=c^2(δ^2u/δx^2)]
6 Law of Gravitation [F=G(m1m2/d^2)]

I hate this one always trap me - Rhapsody

7 Euler's Formula [e^iπ=-1]

Most beautiful equation in maths
Has one one, one plus, one multiplication sign, one exponential sign!

@Petsounds I get the sense that it was written in the own hands or palms of Richard Feynman when he was a teen.He wrote it in his notebook and he referred as the most important equation in the world- Kevinsidis

I have a low-key obsession with this identity, although I prefer to see it written as "e^iπ + 1 = 0." - PetSounds

Once upon a time, there were two pesky numbers, 'π' and 'i' that were incessantly arguing. 'Get real! ' yelled π. 'Be rational! ' yelled back i. All along their incessant argument, a number called 'e' was listening. 'e' had had enough. He went to π and I and told them 'Stop fighting. Let's join together, and by joining together, you both can stay above me, and we'll become -one'. Their argument was resolved. - styLIShT

8 Fourier Transform [f(ζ)=ʃf(x)e^(-2πixζ)δx]
9 Bernoulli Equation [P1+½ρ(v1)^2+ρgh1=P2+½ρ(v2)^2+ρgh2]

How do you type rho - styLIShT

One of the coolest one in fluid mechanics because of the symmetry in its look and use. It's one of the easiest to remember! - Kiteretsunu

Underrated beyond belief is this formula - PositronWildhawk

10 Planck's Law [E=hf]

I've learnt it recently so useful - Rhapsody

The Contenders

11 Newton's Second Law [F=ma]

The heart of dynamics - Rhapsody

12 Heisenberg's Uncertainty Principle [ΔxΔp≥ћ/2]

The principle is being used the same as the Casimir effect. - Kevinsidis

13 Riemann Zeta Function [ζ(s)=Π((p^s)/((p^s)-1))]
14 L = (1/2)dv^2sCL
15 Principle of Least Action [δS≥0]
16 Schwartzchild Radius Formula [rs=2GM/c^2]

Adore this one as well. Awesome stuff! - PositronWildhawk

17 Escape Velocity Formula [ve=sqrt(2GM/r)]
18 Q = KAT(t2-t1)/L
19 Central Limit Theorem [lim_n->∞ P( √n(Sn - µ) ≤ z ) = Φ(z/σ)]

I think this is one of the most important equations in mathematics. - Flav

20 Fundamental Theorem of Calculus d/dx a-xʃf(t)dt = f(x)
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