$$ e^{i\pi} + 1 = 0 $$
$$ \int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi} $$
$$ \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0} $$
$$ \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} $$
$$ \nabla \cdot \mathbf{B} = 0 $$
$$ \nabla \times \mathbf{B} = \mu_0\mathbf{J} + \mu_0\varepsilon_0\frac{\partial \mathbf{E}}{\partial t} $$
$$ i\hbar\frac{\partial}{\partial t}\Psi = \hat{H}\Psi $$
$$ E = mc^2 $$
$$ \hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)e^{-2\pi i x \xi}dx $$
$$ \zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s} $$
$$ \rho \left( \frac{\partial \mathbf{v}}{\partial t} + \mathbf{v} \cdot \nabla \mathbf{v} \right) = -\nabla p + \mu \nabla^2 \mathbf{v} + \mathbf{f} $$
$$ S = \frac{k c^3 A}{4 \hbar G} $$
$$ f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!} (x-a)^n $$
$$ a^2 + b^2 = c^2 $$
$$ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$
$$ P(A|B) = \frac{P(B|A)P(A)}{P(B)} $$
$$ \lim_{x \to c} f(x) = L $$
$$ \varphi = \frac{1 + \sqrt{5}}{2} $$
$$ \lambda = \frac{h}{p} $$
$$ \Delta x \Delta p \ge \frac{\hbar}{2} $$

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