Help:Formulas

The quadratic formula$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The Pythagorean theorem$a^2 + b^2 = c^2$

Einstein's famous equation of mass-energy equivalence$E = mc^2$

The Navier-Stokes equation for fluid dynamics$\frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u} \cdot \nabla) \mathbf{u} = -\frac{1}{\rho}\nabla p + \nu \nabla^2 \mathbf{u}$

The Schrödinger equation for quantum mechanics$i\hbar \frac{\partial \psi}{\partial t} = \hat{H} \psi$

Maxwell's equations for electromagnetism\begin{aligned} \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} \end{aligned}