Dr_rrrr_2919-26--028d

(1)

\begin{align} e^{i\pi} = \cos \theta + i \sin \theta \end{align}

(2)

\begin{align} f(x) = \sum_{n=0}^{\infty} \frac {f^(n)(a)}{n!} (x-a)^n \end{align}

(3)

\begin{align} f(x) = \frac {1}{\sqrt{2 \pi \sigma ^2}} \exp \left ( -\frac {(x-\mu)^2}{2\sigma ^2} \right ) \end{align}

(4)

\begin{align} m \frac {d^2 \vec{r}}{dt^2} = \overrightarrow{F} \end{align}

(5)

\begin{align} \frac {d}{dt} \left ( \frac {\partial \mathcal{L}}{\partial \dot{q}} \right ) - \frac {\partial \mathcal(L)}{\partial q} = 0 \end{align}

(6)

\begin{align} \hat{f} (\xi) = \int _{\mathbb{R} ^ n} f(x)e ^{-2 \pi ix \cdot \xi} dx \end{align}

(7)

\begin{align} f(\alpha) = \frac {1}{2 \pi i} \oint _{C} \frac {f(z)}{z - \alpha} dz \end{align}

(8)

\begin{align} \iiiint _{V} \nabla \cdot \boldsymbol{A} dV = \iint _{\partial V} \boldsymbol{A} \cdot \boldsymbol{n} dS \end{align}

(9)

\begin{align} i \hbar \frac {\partial}{\partial t} \psi (\boldsymbol{r} , t) = \left ( -\frac {\hbar ^ 2}{2m} \nabla ^ 2 + V(\boldsymbol{r} , t) \right ) \psi (\boldsymbol{r} , t) \end{align}

(10)

\begin{align} \mathrm{H _{2}} (\mathrm{g}) + \frac {1}{2} \mathrm{O} _{2} (\mathrm{g}) \to \mathrm{H _{2} O (l)} \quad \nabla H^{\circ} = -286 \, \mathrm{kJ} \end{align}

(11)

\begin{align} A \cap B = \{x \mid x \in A \wedge x /in B \} \end{align}

(12)

\begin{align} {}_{n} C _{r} = \binom{n}{r} = \frac {n!}{r! \left( n - r \right )!} \end{align}

(13)

\begin{cases} \nabla \cdot B(t, x) = 0 \\ \nabla \times E(t, x) = -\frac {\partial B(t, x)}{\partial t} \\ \nabla \cdot D(t, x) = \rho (t, x)\\ \nabla \times H(t, x) = i(t, x) + \frac {\partial D(t, x)}{\partial t} \end{cases}

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1. portal:7200455 (28 Feb 2021 12:38)