This page was created by Prof. Andy Rundquist of the Hamline University Physics Department. If you have requests for packages to add, please email me at firstinitiallastname@hamline.edu.
| syntax |
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| f=\frac{n v}{2 L}, \underbrace{\color{red}n=1, 2, 3, \ldots}_{\text{allowed n's}} |
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\newcommand{\webvector}[2]{\left( \begin{array}{c} #1 \\ #2 \end{array} \right)}
\webvector{a}{b}+\webvector{c}{d}=\webvector{a+c}{b+d} |
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| \alpha, \beta, \ldots, \omega |
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| m \ddot{x} = -k x - b \dot{x} |
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| m \ddot{x} = \underbrace{-k x}_{\text{Hooke's law}} - \underbrace{b \dot{x}}_{\text{\color{red}friction}} |
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| \int_{-10}^{10}x^2\,dx |
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\newcommand{\cool}[2]{\sqrt[#1]{x^{#2}-\uc{red}{1}}}
\cool{\uc{green}{\cool{6}{7}}}{\uc{blue}{\cool{4}{5}}} |
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\newcommand{\del}{\nabla}
\underbrace{\begin{array}{|l|l|}
\hline
\color{red}\text{Coulomb's law} & \color{red}\del \cdot \vec{D} = 4 \pi \rho \\
\hline
\color{yellow}\text{Amp\`{e}re's law} & \color{yellow}\del \times \vec{H} = \frac{4 \pi}{c} \vec{J} \\
\hline
\color{green}\text{Faraday's law} & \color{green}\del \times \vec{E} + \frac{1}{c} \frac{\partial \vec{B}}{\partial t}=0 \\
\hline
\color{blue}\text{No magnetic monopoles} & \color{blue}\del \cdot \vec{B} = 0 \\
\hline
\end{array}}_{\mbox{\uc{magenta}{Light!}}} |
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