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| author | Marvin Borner | 2019-04-01 20:16:24 +0200 |
|---|---|---|
| committer | Marvin Borner | 2019-04-01 20:16:24 +0200 |
| commit | 83b56d1270cdb179b64a1be51f8c1e7fe586c35e (patch) | |
| tree | ae40a84def05eb42c53305e0caa8c2a2440fce71 /test/examples/math.html | |
| parent | 0b3e7839ebf4ed8b6c180aca0abafa28c67aee6d (diff) | |
Added content
Diffstat (limited to 'test/examples/math.html')
| -rw-r--r-- | test/examples/math.html | 349 |
1 files changed, 180 insertions, 169 deletions
diff --git a/test/examples/math.html b/test/examples/math.html index d35e827..741cea4 100644 --- a/test/examples/math.html +++ b/test/examples/math.html @@ -1,185 +1,196 @@ <!doctype html> <html lang="en"> - <head> - <meta charset="utf-8"> +<head> + <meta charset="utf-8"> - <title>reveal.js - Math Plugin</title> + <title>reveal.js - Math Plugin</title> - <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no"> + <meta content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no" + name="viewport"> - <link rel="stylesheet" href="../../css/reveal.css"> - <link rel="stylesheet" href="../../css/theme/night.css" id="theme"> - </head> + <link href="../../css/reveal.css" rel="stylesheet"> + <link href="../../css/theme/night.css" id="theme" rel="stylesheet"> +</head> - <body> +<body> - <div class="reveal"> +<div class="reveal"> - <div class="slides"> + <div class="slides"> - <section> - <h2>reveal.js Math Plugin</h2> - <p>A thin wrapper for MathJax</p> - </section> + <section> + <h2>reveal.js Math Plugin</h2> + <p>A thin wrapper for MathJax</p> + </section> - <section> - <h3>The Lorenz Equations</h3> + <section> + <h3>The Lorenz Equations</h3> - \[\begin{aligned} - \dot{x} & = \sigma(y-x) \\ - \dot{y} & = \rho x - y - xz \\ - \dot{z} & = -\beta z + xy - \end{aligned} \] - </section> + \[\begin{aligned} + \dot{x} & = \sigma(y-x) \\ + \dot{y} & = \rho x - y - xz \\ + \dot{z} & = -\beta z + xy + \end{aligned} \] + </section> - <section> - <h3>The Cauchy-Schwarz Inequality</h3> + <section> + <h3>The Cauchy-Schwarz Inequality</h3> - <script type="math/tex; mode=display"> + <script type="math/tex; mode=display"> \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) - </script> - </section> - - <section> - <h3>A Cross Product Formula</h3> - - \[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} - \mathbf{i} & \mathbf{j} & \mathbf{k} \\ - \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ - \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 - \end{vmatrix} \] - </section> - - <section> - <h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3> - - \[P(E) = {n \choose k} p^k (1-p)^{ n-k} \] - </section> - - <section> - <h3>An Identity of Ramanujan</h3> - - \[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = - 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} - {1+\frac{e^{-8\pi}} {1+\ldots} } } } \] - </section> - - <section> - <h3>A Rogers-Ramanujan Identity</h3> - - \[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = - \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\] - </section> - - <section> - <h3>Maxwell’s Equations</h3> - - \[ \begin{aligned} - \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ - \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ - \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned} - \] - </section> - - <section> - <section> - <h3>The Lorenz Equations</h3> - - <div class="fragment"> - \[\begin{aligned} - \dot{x} & = \sigma(y-x) \\ - \dot{y} & = \rho x - y - xz \\ - \dot{z} & = -\beta z + xy - \end{aligned} \] - </div> - </section> - - <section> - <h3>The Cauchy-Schwarz Inequality</h3> - - <div class="fragment"> - \[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \] - </div> - </section> - - <section> - <h3>A Cross Product Formula</h3> - - <div class="fragment"> - \[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} - \mathbf{i} & \mathbf{j} & \mathbf{k} \\ - \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ - \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 - \end{vmatrix} \] - </div> - </section> - - <section> - <h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3> - - <div class="fragment"> - \[P(E) = {n \choose k} p^k (1-p)^{ n-k} \] - </div> - </section> - - <section> - <h3>An Identity of Ramanujan</h3> - - <div class="fragment"> - \[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = - 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} - {1+\frac{e^{-8\pi}} {1+\ldots} } } } \] - </div> - </section> - - <section> - <h3>A Rogers-Ramanujan Identity</h3> - - <div class="fragment"> - \[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = - \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\] - </div> - </section> - - <section> - <h3>Maxwell’s Equations</h3> - - <div class="fragment"> - \[ \begin{aligned} - \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ - \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ - \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned} - \] - </div> - </section> - </section> - - </div> - - </div> - - <script src="../../lib/js/head.min.js"></script> - <script src="../../js/reveal.js"></script> - - <script> - - Reveal.initialize({ - history: true, - transition: 'linear', - - math: { - // mathjax: 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js', - config: 'TeX-AMS_HTML-full' - }, - - dependencies: [ - { src: '../../lib/js/classList.js' }, - { src: '../../plugin/math/math.js', async: true } - ] - }); - - </script> - - </body> + + + </script> + </section> + + <section> + <h3>A Cross Product Formula</h3> + + \[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} + \mathbf{i} & \mathbf{j} & \mathbf{k} \\ + \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ + \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 + \end{vmatrix} \] + </section> + + <section> + <h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3> + + \[P(E) = {n \choose k} p^k (1-p)^{ n-k} \] + </section> + + <section> + <h3>An Identity of Ramanujan</h3> + + \[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = + 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} + {1+\frac{e^{-8\pi}} {1+\ldots} } } } \] + </section> + + <section> + <h3>A Rogers-Ramanujan Identity</h3> + + \[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = + \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\] + </section> + + <section> + <h3>Maxwell’s Equations</h3> + + \[ \begin{aligned} + \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} + & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi + \rho \\ + \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial + t} & = \vec{\mathbf{0}} \\ + \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned} + \] + </section> + + <section> + <section> + <h3>The Lorenz Equations</h3> + + <div class="fragment"> + \[\begin{aligned} + \dot{x} & = \sigma(y-x) \\ + \dot{y} & = \rho x - y - xz \\ + \dot{z} & = -\beta z + xy + \end{aligned} \] + </div> + </section> + + <section> + <h3>The Cauchy-Schwarz Inequality</h3> + + <div class="fragment"> + \[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) + \left( \sum_{k=1}^n b_k^2 \right) \] + </div> + </section> + + <section> + <h3>A Cross Product Formula</h3> + + <div class="fragment"> + \[\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} + \mathbf{i} & \mathbf{j} & \mathbf{k} \\ + \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ + \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 + \end{vmatrix} \] + </div> + </section> + + <section> + <h3>The probability of getting \(k\) heads when flipping \(n\) coins is</h3> + + <div class="fragment"> + \[P(E) = {n \choose k} p^k (1-p)^{ n-k} \] + </div> + </section> + + <section> + <h3>An Identity of Ramanujan</h3> + + <div class="fragment"> + \[ \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = + 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} + {1+\frac{e^{-8\pi}} {1+\ldots} } } } \] + </div> + </section> + + <section> + <h3>A Rogers-Ramanujan Identity</h3> + + <div class="fragment"> + \[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = + \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}\] + </div> + </section> + + <section> + <h3>Maxwell’s Equations</h3> + + <div class="fragment"> + \[ \begin{aligned} + \nabla \times \vec{\mathbf{B}} -\, \frac1c\, + \frac{\partial\vec{\mathbf{E}}}{\partial t} & = + \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi + \rho \\ + \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, + \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ + \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned} + \] + </div> + </section> + </section> + + </div> + +</div> + +<script src="../../lib/js/head.min.js"></script> +<script src="../../js/reveal.js"></script> + +<script> + + Reveal.initialize({ + history: true, + transition: 'linear', + + math: { + // mathjax: 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js', + config: 'TeX-AMS_HTML-full' + }, + + dependencies: [ + {src: '../../lib/js/classList.js'}, + {src: '../../plugin/math/math.js', async: true} + ] + }); + +</script> + +</body> </html> |