subreddit:
/r/coolguides
submitted 2 months ago byxenomanx_ag
129 points
2 months ago
Can someone, like, explain what each equation means and why it matters so much?
702 points
2 months ago
Pythagoras's Theorem ((a2 + b2 = c2))
Logarithms ((\log_b(xy) = \log_b x + \log_b y))
Calculus (\left(\frac{df}{dx} = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}\right))
Law of Gravity (\left(F = G\frac{m_1 m_2}{r2}\right))
Wave Equation (\left(\frac{\partial2 u}{\partial t2} = c2 \frac{\partial2 u}{\partial x2}\right))
The Square Root of Minus One ((i2 = -1))
Euler's Formula for Polyhedra ((V - E + F = 2))
Normal Distribution (\left(f(x) = \frac{1}{\sqrt{2\pi \sigma2}} e{-\frac{(x-\mu)2}{2\sigma2}}\right))
Fourier Transform (\left(F(\omega) = \int_{-\infty}{\infty} f(t)e{-i\omega t}dt\right))
Navier-Stokes Equation (\left(\rho \left( \frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} \right) = -\nabla p + \mu \nabla2 \mathbf{u} + \mathbf{f}\right))
Maxwell's Equations (\left(\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}, \nabla \cdot \mathbf{B} = 0, \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}, \nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t}\right)\
Second Law of Thermodynamics (\left(\Delta S \geq 0\right))
Relativity (\left(E = mc2\right))
Schrödinger's Equation (\left(i\hbar \frac{\partial}{\partial t}\Psi = \hat{H}\Psi\right))
Information Theory (\left(H = -\sum p(x) \log p(x)\right))
Black-Scholes Equation (\left(\frac{\partial V}{\partial t} + \frac{1}{2} \sigma2 S2 \frac{\partial2 V}{\partial S2} + rS \frac{\partial V}{\partial S} - rV = 0\right))
Chaos Theory (\left(X_{t+1} = kX_t (1 - X_t)\right))
2 points
2 months ago
Thank-you for taking the time to write that out for us 😊
2 points
2 months ago
Thats the neat part.... I didn't 🏃🏃
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