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@hkmoon
Last active March 4, 2020 16:13
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from IPython.display import Latex, Markdown as md\n",
"\n",
"arr = np.random.randint(2, 50, 4)\n",
"\n",
"strs = []\n",
"strs.append(r'#### 1. $\\frac{%d}{%d}+\\frac{%d}{%d}$ ' % tuple(arr))\n",
"q1 = Latex(r'$\\frac{%d}{%d}+\\frac{%d}{%d}$' % tuple(arr))\n",
"\n",
"arr = np.random.randint(2, 50, 4)\n",
"arr.sort()\n",
"arr = arr[::-1]\n",
"arr[1], arr[3] = arr[3], arr[1]\n",
"# print(arr)\n",
"strs.append(r'#### 2. $\\frac{%d}{%d}-\\frac{%d}{%d}$ ' % tuple(arr))\n",
"q2 = Latex(r'$\\frac{%d}{%d}-\\frac{%d}{%d}$' % tuple(arr))\n",
"\n",
"arr = np.random.randint(2, 50, 4)\n",
"strs.append(r'#### 3. $\\frac{%d}{%d}\\cdot\\frac{%d}{%d}$ ' % tuple(arr))\n",
"q3 = Latex(r'$\\frac{%d}{%d}\\cdot\\frac{%d}{%d}$' % tuple(arr))\n",
"\n",
"arr = np.random.randint(2, 50, 4)\n",
"strs.append(r'#### 4. $\\frac{%d}{%d}\\div\\frac{%d}{%d}$ ' % tuple(arr))\n",
"q4 = Latex(r'$\\frac{%d}{%d}\\div\\frac{%d}{%d}$' % tuple(arr))\n",
"\n",
"strs.append(r'#### 5. Find two equations.')\n",
"\n",
"# md('\\n'.join(strs))"
]
},
{
"cell_type": "markdown",
"metadata": {
"variables": {
"q1": "$\\frac{40}{44}+\\frac{19}{24}$",
"q2": "$\\frac{48}{17}-\\frac{33}{38}$",
"q3": "$\\frac{47}{21}\\cdot\\frac{14}{3}$",
"q4": "$\\frac{7}{21}\\div\\frac{18}{39}$"
}
},
"source": [
"<p><font size=\"5\">1. {{q1}}</font><br/>\n",
"<p><font size=\"5\">2. {{q2}}</font><br/>\n",
"<p><font size=\"5\">3. {{q3}}</font><br/>\n",
"<p><font size=\"5\">4. {{q4}}</font><br/>\n",
"<br/>\n",
"<p><font size=\"5\">5. Find two equations</font><br/>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1600x1200 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt # side-stepping mpl backend\n",
"import matplotlib.gridspec as gridspec # subplots\n",
"\n",
"fig1 = plt.figure(figsize=(8, 6), dpi=200)\n",
"# fig1 = plt.figure(figsize=(8, 6))\n",
"# Make a legend for specific lines.\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"t1 = np.arange(0, 6, 1)\n",
"t2 = np.arange(0, 5.5, 0.1)\n",
"\n",
"o1 = 2.5 * t1\n",
"l1 = plt.plot(t1, o1)\n",
"\n",
"o2 = 5/(4 * t2)\n",
"l2 = plt.plot(t2, o2)\n",
"\n",
"s1 = plt.scatter(t1, o1)\n",
"for i, v in enumerate(o1):\n",
" plt.annotate(\"(%s, %s)\" % (t1[i], v), (t1[i], v))\n",
"\n",
"samples = [0, 1, 2, 4, 5, 10, 20, 40]\n",
"s2 = plt.scatter(t2[samples], o2[samples])\n",
"for i, v in enumerate(o2):\n",
" if i in samples:\n",
" plt.annotate(\"(%s, %s)\" % (t2[i], v), (t2[i], v))\n",
"\n",
"plt.title('Find two equations')\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.notebook.save_checkpoint();"
],
"text/plain": [
"<IPython.core.display.Javascript object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from IPython.display import display, Javascript\n",
"display(Javascript('IPython.notebook.save_checkpoint();'))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"!jupyter nbconvert --to html 'Homework-01.ipynb' --no-input --no-prompt --log-level=0"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": false,
"sideBar": false,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": false,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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