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@@ -1296,28 +1296,29 b'' | |||||
1296 | "collapsed": false, |
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1296 | "collapsed": false, | |
1297 | "input": [ |
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1297 | "input": [ | |
1298 | "%%latex\n", |
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1298 | "%%latex\n", | |
1299 |
"\\begin{align |
|
1299 | "\\begin{align}\n", | |
1300 | "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n", |
|
1300 | "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n", | |
1301 | "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", |
|
1301 | "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", | |
1302 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", |
|
1302 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", | |
1303 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n", |
|
1303 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n", | |
1304 |
"\\end{align |
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1304 | "\\end{align}" | |
1305 | ], |
|
1305 | ], | |
1306 | "language": "python", |
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1306 | "language": "python", | |
1307 | "metadata": {}, |
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1307 | "metadata": {}, | |
1308 | "outputs": [ |
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1308 | "outputs": [ | |
1309 | { |
|
1309 | { | |
1310 | "latex": [ |
|
1310 | "latex": [ | |
1311 |
"\\begin{align |
|
1311 | "\\begin{align}\n", | |
1312 | "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n", |
|
1312 | "\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\\n", | |
1313 | "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", |
|
1313 | "\\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n", | |
1314 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", |
|
1314 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", | |
1315 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n", |
|
1315 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0\n", | |
1316 |
"\\end{align |
|
1316 | "\\end{align}" | |
1317 | ], |
|
1317 | ], | |
|
1318 | "metadata": {}, | |||
1318 | "output_type": "display_data", |
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1319 | "output_type": "display_data", | |
1319 | "text": [ |
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1320 | "text": [ | |
1320 |
"<IPython.core.display.Latex at 0x10 |
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1321 | "<IPython.core.display.Latex at 0x106c04dd0>" | |
1321 | ] |
|
1322 | ] | |
1322 | } |
|
1323 | } | |
1323 | ], |
|
1324 | ], |
@@ -1,6 +1,6 b'' | |||||
1 | { |
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1 | { | |
2 | "metadata": { |
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2 | "metadata": { | |
3 | "name": "Typesetting Math Using MathJax" |
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3 | "name": "" | |
4 | }, |
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4 | }, | |
5 | "nbformat": 3, |
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5 | "nbformat": 3, | |
6 | "nbformat_minor": 0, |
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6 | "nbformat_minor": 0, | |
@@ -24,18 +24,18 b'' | |||||
24 | "\n", |
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24 | "\n", | |
25 | "## The Lorenz Equations\n", |
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25 | "## The Lorenz Equations\n", | |
26 | "### Source\n", |
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26 | "### Source\n", | |
27 |
"```\\begin{align |
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27 | "```\\begin{align}\n", | |
28 | "\\dot{x} & = \\sigma(y-x) \\\\\n", |
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28 | "\\dot{x} & = \\sigma(y-x) \\\\\n", | |
29 | "\\dot{y} & = \\rho x - y - xz \\\\\n", |
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29 | "\\dot{y} & = \\rho x - y - xz \\\\\n", | |
30 | "\\dot{z} & = -\\beta z + xy\n", |
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30 | "\\dot{z} & = -\\beta z + xy\n", | |
31 |
"\\end{align |
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31 | "\\end{align}\n", | |
32 | "```\n", |
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32 | "```\n", | |
33 | "### Display\n", |
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33 | "### Display\n", | |
34 |
"\\begin{align |
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34 | "\\begin{align}\n", | |
35 | "\\dot{x} & = \\sigma(y-x) \\\\\n", |
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35 | "\\dot{x} & = \\sigma(y-x) \\\\\n", | |
36 | "\\dot{y} & = \\rho x - y - xz \\\\\n", |
|
36 | "\\dot{y} & = \\rho x - y - xz \\\\\n", | |
37 | "\\dot{z} & = -\\beta z + xy\n", |
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37 | "\\dot{z} & = -\\beta z + xy\n", | |
38 |
"\\end{align |
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38 | "\\end{align}" | |
39 | ] |
|
39 | ] | |
40 | }, |
|
40 | }, | |
41 | { |
|
41 | { | |
@@ -140,18 +140,18 b'' | |||||
140 | "source": [ |
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140 | "source": [ | |
141 | "## Maxwell's Equations\n", |
|
141 | "## Maxwell's Equations\n", | |
142 | "### Source\n", |
|
142 | "### Source\n", | |
143 |
"```\\begin{align |
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143 | "```\\begin{align}\n", | |
144 | "\\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 \\\\\n", |
|
144 | "\\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 \\\\\n", | |
145 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", |
|
145 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", | |
146 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n", |
|
146 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n", | |
147 |
"\\end{align |
|
147 | "\\end{align}\n", | |
148 | "```\n", |
|
148 | "```\n", | |
149 | "### Display\n", |
|
149 | "### Display\n", | |
150 |
"\\begin{align |
|
150 | "\\begin{align}\n", | |
151 | "\\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 \\\\\n", |
|
151 | "\\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 \\\\\n", | |
152 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", |
|
152 | "\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n", | |
153 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n", |
|
153 | "\\nabla \\cdot \\vec{\\mathbf{B}} & = 0 \n", | |
154 |
"\\end{align |
|
154 | "\\end{align}" | |
155 | ] |
|
155 | ] | |
156 | }, |
|
156 | }, | |
157 | { |
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157 | { |
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