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Untitled21.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from sympy import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"IPython console for SymPy 1.4.dev (Python 3.5.5-64-bit) (ground types: gmpy)\n",
"\n",
"These commands were executed:\n",
">>> from __future__ import division\n",
">>> from sympy import *\n",
">>> x, y, z, t = symbols('x y z t')\n",
">>> k, m, n = symbols('k m n', integer=True)\n",
">>> f, g, h = symbols('f g h', cls=Function)\n",
">>> init_printing()\n",
"\n",
"Documentation can be found at https://docs.sympy.org/dev\n",
"\n"
]
}
],
"source": [
"init_session()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/latex": [
"$$\\begin{equation*}\\left ( a, \\quad b\\right )\\end{equation*}$$"
],
"text/plain": [
"(a, b)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"var('a b', positive=True)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAAsAAAAJBAMAAAAWSsseAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpmJdu8QRM1mu90yVKvMIHo8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAARklEQVQIHWNgYFRWCWNgYCgV4PjAwMAWycC0gIGB6RsDtwMDA+sChvwDDAz5Bgz3GYDUBYYVvAIMHA6c+5iBKp/YyLkzAABmaAxT1tVPwQAAAABJRU5ErkJggg==\n",
"text/latex": [
"$$\\begin{equation*}a\\end{equation*}$$"
],
"text/plain": [
"a"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAALVBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAELvv3c2rVESJdpkiZvtO0HUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABSSURBVAgdY2BUdmAAAtYEEMlXACL7BEDkFBDBELZqOwMD41MBuQMM7A8Z+CYwcAcwyE1gYN3A0FfAwHeBYZ8AA18Doy0DA9sFpg1Albv2MjAAAB2yD7/KbXugAAAAAElFTkSuQmCC\n",
"text/latex": [
"$$\\begin{equation*}b\\end{equation*}$$"
],
"text/plain": [
"b"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"b"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAADEAAAAOBAMAAAB0nulXAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpmJdu8QRM1mu90yVKvMIHo8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAvUlEQVQYGWNgwAIYlVYdwCIMFMpjYP6OJJMxAc55xsAQCucwMLBZO8B40QwM7w/AOECazdsMyutPAMswKquEQUVmq8EV7k9gYCgV4PgAE7jxEMpi/ww0I5KBaQFMhqFiGYTJ/YCBgekbA7cDhowSUIR1AUP+ASANBjDTWBSA3HwDhvsQYQYGuAsuMTAKMORfYFjBKwCSQ7iaR4GBRYCBw4FzHzNYAuFTaWOj10CVT2zk3EEy2YjQ6f///zcDAPxjKb5st/9IAAAAAElFTkSuQmCC\n",
"text/latex": [
"$$\\begin{equation*}a > 2\\end{equation*}$$"
],
"text/plain": [
"a > 2"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"2 < a"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"x = symbols('x', positive=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"from sympy.sets.setexpr import SetExpr"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAACgAAAAUBAMAAAANaGKIAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAdt3NMolEEJlmVCLvu6sHwGgPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyElEQVQYGWMQMmFAA5PVGMIYGCoiQ1DEw0CCVgxFG5BFQYKcBxhYDdAFeR8wcH1HF+R/wMD2C12wvoGB7SNYkPE/EDQATQxj2B/AwPIVLBjqJT1xNwNEsAEqyLKAdYMIUBakEqGdgZfhOVQQaBEX1CI/BgWoIO8FBk6okzoZQAyo4zkgjmf/zvANKsigxVDjwP4ZyGNUYDgKEywVfMLAoFTAwMA7geEpTBBIMzBwIcIEZCYEsEJpIIUQLMQmOAFZUEgFwYOwhNQAQpE2qV8Cz4wAAAAASUVORK5CYII=\n",
"text/latex": [
"$$\\begin{equation*}\\left[0, \\pi\\right]\\end{equation*}$$"
],
"text/plain": [
"[0, π]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Interval(0, pi)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAEMAAAAVBAMAAADvM06qAAAAMFBMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZpkQ3Ynvq81UMrtEInZCK3CHAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABS0lEQVQoFX2SMUjDUBCGv/a1TSKNm67WoVQQpJujASlOgoOKkxbcikMFce7i3slNGlwdHAVdnFwL3YXi4iSIRRSXevcSm1Rbb8j77/6P9+5dHpBZZFrMrFTVMrVpgNSLDTUzr4KV50LV6egt30q6pKV8Hdy22VQt4R1Gq2lycA/bmikyD3uqYbUyiIRTpVCHXc0UuYGObQxmY6QQ4HylkA/otpVPEHcwhpg3QfqWGO0iWU42tAc5Lfx3uN76g3SltKDV8xBfdpmAbIjrluBKhjP5oKy4cNKHhxCk3c6vduFJCbcpH+mFOzm0qpXkRnglHuNe8oEdnZ10GrmEl9Rccm3TYK0lhL20Kr+2UwlSiNl/DsmtC5E9/Ty2yh0Oh2lEPImLaBlTo38UeTKpOBJlEX0vNkw/FiQqei+cxU7mhyBRxSNb9P55u2WZ1jchPU2TwB1SZQAAAABJRU5ErkJggg==\n",
"text/latex": [
"$$\\begin{equation*}\\left\\{0, 1, 2\\right\\}\\end{equation*}$$"
],
"text/plain": [
"{0, 1, 2}"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"FiniteSet(0, 1, 2)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"ename": "ValueError",
"evalue": "\nFinite arguments to Range must be integers; `imageset` can define\nother cases, e.g. use `imageset(i, i/10, Range(3))` to give [0, 1/10,\n1/5].",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/compatibility.py\u001b[0m in \u001b[0;36mas_int\u001b[0;34m(n)\u001b[0m\n\u001b[1;32m 381\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 382\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 383\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mresult\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0mn\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/expr.py\u001b[0m in \u001b[0;36m__int__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 247\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_number\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 248\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"can't convert symbols to int\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 249\u001b[0m \u001b[0mr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mround\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mTypeError\u001b[0m: can't convert symbols to int",
"\nDuring handling of the above exception, another exception occurred:\n",
"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/sets/fancysets.py\u001b[0m in \u001b[0;36m__new__\u001b[0;34m(cls, *args)\u001b[0m\n\u001b[1;32m 425\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0msympify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mas_int\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 426\u001b[0;31m for w in (start, stop, step)]\n\u001b[0m\u001b[1;32m 427\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/sets/fancysets.py\u001b[0m in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 425\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0msympify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mas_int\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 426\u001b[0;31m for w in (start, stop, step)]\n\u001b[0m\u001b[1;32m 427\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/compatibility.py\u001b[0m in \u001b[0;36mas_int\u001b[0;34m(n)\u001b[0m\n\u001b[1;32m 385\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mTypeError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 386\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'%s is not an integer'\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 387\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mresult\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: n is not an integer",
"\nDuring handling of the above exception, another exception occurred:\n",
"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-31-3f44c8d93585>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mRange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/sets/fancysets.py\u001b[0m in \u001b[0;36m__new__\u001b[0;34m(cls, *args)\u001b[0m\n\u001b[1;32m 429\u001b[0m \u001b[0mFinite\u001b[0m \u001b[0marguments\u001b[0m \u001b[0mto\u001b[0m \u001b[0mRange\u001b[0m \u001b[0mmust\u001b[0m \u001b[0mbe\u001b[0m \u001b[0mintegers\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m`\u001b[0m\u001b[0mimageset\u001b[0m\u001b[0;31m`\u001b[0m \u001b[0mcan\u001b[0m \u001b[0mdefine\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 430\u001b[0m \u001b[0mother\u001b[0m \u001b[0mcases\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mg\u001b[0m\u001b[0;34m.\u001b[0m \u001b[0muse\u001b[0m\u001b[0;31m \u001b[0m\u001b[0;31m`\u001b[0m\u001b[0mimageset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mRange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;31m`\u001b[0m \u001b[0mto\u001b[0m \u001b[0mgive\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 431\u001b[0;31m [0, 1/10, 1/5].'''))\n\u001b[0m\u001b[1;32m 432\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 433\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mstep\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_Integer\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: \nFinite arguments to Range must be integers; `imageset` can define\nother cases, e.g. use `imageset(i, i/10, Range(3))` to give [0, 1/10,\n1/5]."
]
}
],
"source": [
"Range(n)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"a = SetExpr(Interval(0, 2))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"b = SetExpr(Interval(0, 3))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/latex": [
"$$\\begin{equation*}SetExpr\\left(\\left[0, 5\\right]\\right)\\end{equation*}$$"
],
"text/plain": [
"SetExpr([0, 5])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a + b"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/latex": [
"$$\\begin{equation*}SetExpr\\left(\\left\\{d - x\\; |\\; d \\in \\left[0, 2\\right]\\right\\}\\right)\\end{equation*}$$"
],
"text/plain": [
"SetExpr({d - x | d ∊ [0, 2]})"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a - x"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/latex": [
"$$\\begin{equation*}\\left[0, 3\\right]\\end{equation*}$$"
],
"text/plain": [
"[0, 3]"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Intersection((b - a).set, Interval(0, oo))"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAJoAAAAUCAMAAABCm9SNAAAAM1BMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADxgEwMAAAAEHRSTlMAVJmJZkS7EM0ydqsi790griLh9QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAzhJREFUSA21VtuW5CAI9K5R4/r/X7sUirEz6Z6Zc3Z5SLyAVKDAKPV/pDqcm1s6fnW+S82TgavLShtjrXJY/So59B4KSevp6+7zSg28bp9OrMaEcENcrbVBw2aYFMEW8IkxdD5uPWKTfYHkhsOl8X6QhukTtFjIzPYX0NXQmu6AMUziDILBBkXxFhPdI68r3/MYxKE4Jp+ebio+QSt86nnu9rkjYr3RY5pYdhn7iK6fAMTGCFQ7FVS8aYjml7fE+wnaCQCqyJls608KYuTkTJPI0D0HUqnjlv9mp8vEmcZMMjw33r0qe6fdJ2iJk/EKjQ/aE6pUQsZj7/ZCFW3OpipfAnF/RKmDYplLDuo5l+ozIu5tqAdNI41K9HZkgXQl8U/QGIZqwpYxxbkjFGJi+YzcSWZNeOSiIkJaqsL3VMrZZ8Qi7bmWVaN0W1UakcQGGoWkVZoE4rKCT/GD8Yv4LimZy9U2wyQUk8n86ErvJ3bqSa6iQRBvVFvEIzVLn6yrqgQG5eb6oVWjkZ/BB14W8TOn1wvad7Eg3PoaLaQgJFwk5XQ5O4Z/oxriC8/YS6OJ0JCNbP9DrNi6AfsgPfYTU1siDXj2BKhsciI68jUHJW1GNo76XV9z+WKqAdIqUGkm1FaANFAeV/rh6gXa5luGi4uyUJktARA2aNwBSeVgLxcFPKgGx6urKYspybEK3yLqsVNEV/qh8E1CNTIw0ECbpI9P3KH5pvSkruHonSOGVH2WyKWRwdXVDo6ojioDdQbOBCcOeZiGNCX5XAYHjFTeG9HJDGkoNYkalYFprGlHJjPYHql5KFNmAtusVH8CqKcvw402rm/k+sB63ammRuGTtvih4ZLa6L40heI9eiw2HDqTZp6ICYXKUAszpUhNZZNZT9WAdyyJ+gpJmHd7LDnHbIaO756bICG+6omcrJn4gXsROhACg9YmRZQ3dOdzIYmJVIyY/fLNVHuy+XRR7frUge4yoa0L5b7/wzlT7Un30/W+69/6LrYmNLlYdu1fjEe/eTQIIxySnUcdosvD78IwkZ+iN4bfLWui38PZbPbpV/I6V67la0WiNj9t3/hnY/kBbyjrn0tu1w/4XykNFsMG9noDAAAAAElFTkSuQmCC\n",
"text/latex": [
"$$\\begin{equation*}SetExpr\\left(\\left[-2, 3\\right]\\right)\\end{equation*}$$"
],
"text/plain": [
"SetExpr([-2, 3])"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"b - a"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAIoAAAAUCAMAAABlNVVlAAAAM1BMVEX///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADxgEwMAAAAEHRSTlMAVJmJZkS7EM0ydqsi790griLh9QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAxlJREFUSA21Vu223CAIxO9EjfX9n7YMonFz725vz2n9sVFBGGHAJfpPo3o2nNtxfrTvjxZYwdelZax1jjx2v44ce4+FR+vHV+mbnRohcLCYrPPugahaG6PsiQqViSXiBil2nL5HalM+IXixf2t8mB1yVvwcho0vW3ImFf64DqADStJLWity/7iz6Un2KfQ8JmkojsXHXz804cdf0HQvxotYviAZUMiJi9RH9II6nD7sPO1UgdJDY2p+/WoQ4CciArTuJbpXw6fArkJJAjh05IfofOSzOdkmOiRzWM2MqeDtp4qr4acLlNA5TWscEvAdCh1Cq943ViWXs60USmSujih0UCQPvJz2nEsNGRENLtaTl4lnJQU3ogxlzSRfOXWZryQvOEQNgDQq5EQtdx7K4YDQVkTATBaHfpRydY1IYplvmRqnz1FpfFkXeRaZnYdEmc9KHfCX/dQuwT3HZwPCFIRkQlGmJl96v0CleoHuFql6UGURBzfh65hKlZ0j+r6fhhrPwkwxAGIIFLnuN1Bw4oZiNKe8ZSWZ5fI5e+H3gyowCE+QHaOoeSqHXP/FeUCu57h0wVDeJkjrdkbl5CRI/NiFWB0cg8XbtlAFEFYBzeLmGANZ5LysdAqaDQoNk+aFtqy00UmOMBTpNrw4xeqd0QCqwNFNOIclj3MWNzlEVe690ikaW4IoSgi9mBeh/BhEuTL/ZlRCI6NUsxKda8SIqwM9ySAjq6uckluTKANlBq4DBj1Ypgd5ibHRVlvcK1Q6hUB5g8K0tU12nfihDHYmLmayRRPStJLCBWDoD3gh5LUj5O7Efn2hilamXhkhSlBK8wGh2pxztiCmMyocCsstxJailOcUZi8dpEZ8Uzm4znlEfQtTyTllO3RCD9KEGOHNfza/luIHnargGtSappiNYuxQ/vCE4/inIVT5VmFr/LucO8BzaFRmf36Kf7oWqnyrvD2Hu1yr9WVr1P1q1Lvs5/NR/9/rR7n/JILqrG6wnRkq80/CJvibqWH6vH2qt79Ot835jN07k7YD+b7/D+f6h7IJX9/aze3+Q/kbCucWa3LQGYoAAAAASUVORK5CYII=\n",
"text/latex": [
"$$\\begin{equation*}SetExpr\\left(\\left[0, 2\\right]\\right)\\end{equation*}$$"
],
"text/plain": [
"SetExpr([0, 2])"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"ename": "ValueError",
"evalue": "The argument 'I' is not comparable.",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-41-69bac5b788dd>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m//\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/decorators.py\u001b[0m in \u001b[0;36m__sympifyit_wrapper\u001b[0;34m(a, b)\u001b[0m\n\u001b[1;32m 89\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'_op_priority'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 90\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msympify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstrict\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 91\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 92\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mSympifyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 93\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mretval\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/decorators.py\u001b[0m in \u001b[0;36mbinary_op_wrapper\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 130\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 131\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 132\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 133\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mbinary_op_wrapper\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 134\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mpriority_decorator\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/expr.py\u001b[0m in \u001b[0;36m__floordiv__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 210\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__floordiv__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 211\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0msympy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfunctions\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0melementary\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mintegers\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mfloor\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 212\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfloor\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 213\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 214\u001b[0m \u001b[0;34m@\u001b[0m\u001b[0m_sympifyit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'other'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mNotImplemented\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/functions/elementary/integers.py\u001b[0m in \u001b[0;36meval\u001b[0;34m(cls, arg)\u001b[0m\n\u001b[1;32m 23\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_integer\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_finite\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 24\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 25\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_imaginary\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mS\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mImaginaryUnit\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_real\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 26\u001b[0m \u001b[0mi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mi\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhas\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mS\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mImaginaryUnit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/decorators.py\u001b[0m in \u001b[0;36m__sympifyit_wrapper\u001b[0;34m(a, b)\u001b[0m\n\u001b[1;32m 89\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'_op_priority'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 90\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msympify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstrict\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 91\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 92\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mSympifyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 93\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mretval\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/decorators.py\u001b[0m in \u001b[0;36mbinary_op_wrapper\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 129\u001b[0m \u001b[0;32mpass\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 130\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 131\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 132\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 133\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mbinary_op_wrapper\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/core/decorators.py\u001b[0m in \u001b[0;36m__sympifyit_wrapper\u001b[0;34m(a, b)\u001b[0m\n\u001b[1;32m 89\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'_op_priority'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 90\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msympify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mb\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstrict\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 91\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 92\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mSympifyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 93\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mretval\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/multipledispatch/dispatcher.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 196\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_cache\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mtypes\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 197\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 198\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 199\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 200\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mMDNotImplementedError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/sets/handlers/functions.py\u001b[0m in \u001b[0;36m_set_function\u001b[0;34m(f, x)\u001b[0m\n\u001b[1;32m 84\u001b[0m extr = [_start, _end] + [f(i) for i in solns\n\u001b[1;32m 85\u001b[0m if i.is_real and i in x]\n\u001b[0;32m---> 86\u001b[0;31m \u001b[0mstart\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mend\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mMin\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mextr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mMax\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mextr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 87\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 88\u001b[0m \u001b[0mleft_open\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mright_open\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/functions/elementary/miscellaneous.py\u001b[0m in \u001b[0;36m__new__\u001b[0;34m(cls, *args, **assumptions)\u001b[0m\n\u001b[1;32m 348\u001b[0m \u001b[0;31m# also reshape Max(a, Max(b, c)) to Max(a, b, c)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 349\u001b[0m \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 350\u001b[0;31m \u001b[0margs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfrozenset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_new_args_filter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 351\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mShortCircuit\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 352\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzero\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m~/Documents/Python/sympy/sympy/sympy/functions/elementary/miscellaneous.py\u001b[0m in \u001b[0;36m_new_args_filter\u001b[0;34m(cls, arg_sequence)\u001b[0m\n\u001b[1;32m 521\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mis_number\u001b[0m \u001b[0;32mand\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 522\u001b[0m not arg.is_comparable):\n\u001b[0;32m--> 523\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"The argument '%s' is not comparable.\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0marg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 524\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 525\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0marg\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mcls\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzero\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mValueError\u001b[0m: The argument 'I' is not comparable."
]
}
],
"source": [
"a//2"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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