Competitive Programming, Math, Physics, Biology

$${\displaystyle R^{\mu \nu }-\frac{1}{2}{g}^{\mu \nu }R=\frac{8\pi \kappa }{c^2}{T}_{\mu \nu }}$$

$${\displaystyle \hat{H}\mathrm{\Psi }=E\mathrm{\Psi }}$$

$${\displaystyle \mathcal{S}={\int }_{t_1}^{t_2}Ldt}$$

$${\displaystyle {\displaystyle \frac{\partial \mathcal{L}}{\partial q_i}}-{\displaystyle \frac{d}{dt}}{\displaystyle \frac{\partial \mathcal{L}}{\partial \dot{q_i}}}=0}$$

$${\displaystyle (i\hslash {\gamma }^{\mu }{\partial }_{\mu }-mc)\psi =0}$$