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@ -15,7 +15,7 @@ |
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<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no"> |
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<link rel="stylesheet" href="../css/reveal.min.css"> |
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<link rel="stylesheet" href="../css/theme/default.css" id="theme"> |
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<link rel="stylesheet" href="../css/theme/night.css" id="theme"> |
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<!-- For syntax highlighting --> |
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<link rel="stylesheet" href="../lib/css/zenburn.css"> |
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@ -32,11 +32,12 @@ |
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<div class="slides"> |
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<section> |
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<h1>Reveal.js Math Plugin</h1> |
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<h2>reveal.js Math Plugin</h2> |
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<p>A thin wrapper for MathJax</p> |
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</section> |
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<section> |
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<h2>The Lorenz Equations</h2> |
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<h3>The Lorenz Equations</h3> |
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\[\begin{aligned} |
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\dot{x} & = \sigma(y-x) \\ |
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\dot{y} & = \rho x - y - xz \\ |
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@ -45,13 +46,13 @@ |
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</section> |
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<section> |
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<h2>The Cauchy-Schwarz Inequality</h2> |
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<h3>The Cauchy-Schwarz Inequality</h3> |
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\[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \] |
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</section> |
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<section> |
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<h2>A Cross Product Formula</h2> |
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<h3>A Cross Product Formula</h3> |
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\[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} |
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\mathbf{i} & \mathbf{j} & \mathbf{k} \\ |
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@ -61,13 +62,36 @@ |
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</section> |
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<section> |
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<h2>An Identity of Ramanujan</h2> |
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<h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3> |
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\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \] |
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</section> |
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<section> |
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<h3>An Identity of Ramanujan</h3> |
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\[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = |
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1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} |
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{1+\frac{e^{-8\pi}} {1+\ldots} } } } \] |
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</section> |
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<section> |
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<h3>A Rogers-Ramanujan Identity</h3> |
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\[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = |
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\prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\] |
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</section> |
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<section> |
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<h3>Maxwell’s Equations</h3> |
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\[ \begin{aligned} |
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\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ |
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\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ |
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\nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned} |
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\] |
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</section> |
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</div> |
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</div> |
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<script> |
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Reveal.initialize({ |
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transition: 'linear', |
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dependencies: [ |
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{ src: '../lib/js/classList.js', condition: function() { return !document.body.classList; } }, |
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{ src: '../plugin/markdown/marked.js', condition: function() { return !!document.querySelector( '[data-markdown]' ); } }, |
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