Лабораторные работы по Python, ЛФИ, 1 семестр
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "f6b71dac",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import style"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "3832d7ee",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['Solarize_Light2', '_classic_test_patch', 'bmh', 'classic', 'dark_background', 'fast', 'fivethirtyeight', 'ggplot', 'grayscale', 'seaborn', 'seaborn-bright', 'seaborn-colorblind', 'seaborn-dark', 'seaborn-dark-palette', 'seaborn-darkgrid', 'seaborn-deep', 'seaborn-muted', 'seaborn-notebook', 'seaborn-paper', 'seaborn-pastel', 'seaborn-poster', 'seaborn-talk', 'seaborn-ticks', 'seaborn-white', 'seaborn-whitegrid', 'tableau-colorblind10']\n"
]
}
],
"source": [
"print(style.available)\n",
"# style.use('seaborn-dark')\n",
"# style.use('classic')"
]
},
{
"cell_type": "markdown",
"id": "89775777",
"metadata": {},
"source": [
"# Упражнение 1"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "eaa9906a",
"metadata": {},
"outputs": [],
"source": [
"y = lambda x: np.log(np.exp(1/(1 + np.sin(x))) / (1.25 + 1 / (x**15))) / np.log(1 + x ** 2)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "634c6aeb",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.3864779350529028"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y(1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "3a68e773",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.4268448523147221"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y(10)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "43c74d8f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.023469121119570484"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y(1000)"
]
},
{
"cell_type": "markdown",
"id": "c9251dfa",
"metadata": {},
"source": [
"# Упражнение 2"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d08e6177",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(-10, 10.01, 0.01)\n",
"plt.plot(x, x ** 2 - x - 6)\n",
"plt.xlabel(r'$x$')\n",
"plt.ylabel(r'$x^2 - x - 6$')\n",
"plt.title(r'$x^2 - x - 6$')\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "520b7715",
"metadata": {},
"source": [
"# Упражнение 3"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "3a7e1ce7",
"metadata": {},
"outputs": [],
"source": [
"y_3 = lambda x: np.log(x ** 2 + 1) / np.log(1 + np.tan(1 / 1 + np.sin(x) ** 2)) * np.exp(-np.abs(x) / 10)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "34e1873b",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"<ipython-input-3-fefc875d1c35>:1: RuntimeWarning: overflow encountered in exp\n",
" y = lambda x: np.log(np.exp(1/(1 + np.sin(x))) / (1.25 + 1 / (x**15))) / np.log(1 + x ** 2)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.array(list(filter(lambda x: np.sin(x) != 0, np.arange(0.5, 10.01, 0.01))))\n",
"plt.plot(x, y(x))\n",
"plt.xlabel(r'$x$')\n",
"plt.ylabel(r'$\\log_{1 + \\tan(\\dfrac {1}{1 + \\sin^2 x})}(x^2 + 1)\\exp(-\\dfrac{|x|}{10})$')\n",
"# plt.title(r'$x^2 - x - 6$')\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "a8e734fe",
"metadata": {},
"source": [
"# Упражнение 4"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "a81816d3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x**2\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.xkcd():\n",
" func = input()\n",
" x = np.arange(0.5, 10.01, 0.01)\n",
" y = eval(func)\n",
" plt.plot(x, y)\n",
" plt.xlabel(r'$x$')\n",
" plt.ylabel(r'Your function')\n",
" plt.title(func)\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0e59d402",
"metadata": {},
"source": [
"# Упражнение 5"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "0296ba29",
"metadata": {},
"outputs": [],
"source": [
"x = [1, 2, 3, 4, 5, 6]\n",
"y = [0.99, 0.49, 0.35, 0.253, 0.18, 0.12]\n",
"p_1, _v = np.polyfit(x, y, deg=1, cov=True)\n",
"p_1 = np.poly1d(p_1)\n",
"p_2, _v = np.polyfit(x, y, deg=2, cov=True)\n",
"p_2 = np.poly1d(p_2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "d875c453",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.errorbar(x, y, yerr=0.1)\n",
"plt.plot(x, p_1(x))\n",
"plt.xlabel(r'$x$')\n",
"plt.title('1-degree polynom approximation')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "337683be",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XpJRSZ82VFnoHYJ0xZoMx5ijwMTCgzDIGiBIRASKB3cBxt1bqYVk9BnFLegnv723JvDfv11BXSvkcVwK9NuDcuZxnT3P2HyAD2AosB+43xpSUXZGI3Cki2SKSXVBQcI4le87D111JaqRhxJYuHP5gmIa6UsqnuBLoUs60srf+6QUsAWoBrYH/iEj0aW8yZqwxJssYk5WUlHSWpXpeeHAgLw7rRI6pwT821oOPrtZQV0r5DFcCPQ+o6/S6DlZL3NmtwBfGsg7YCKS7p8QLq1PDBG64KJV3inuzcOMuDXWllM9wJdAXAI1FpL59oPNaYHKZZTYDPQFEpAbQFNjgzkIvpEf7ZFArNpyHQ/9CUc5CDXWllE+oNNCNMceBe4HvgNXAp8aYlSIyXESG24s9C3QWkeXAD8AIY8xOTxXtaZEhgbxwVQs27HMwuuFY2DxXQ10pVeWJMWW7wy+MrKwsk52d7ZVtu2rExGV8tjCXSb2O0OrH2yG1E1z/GQRHeLs0pVQ1JSILjTFZ5c2r3meKVuKJvhkkR4Xy8OIEjgx8y2qpjx8KRw96uzSllDqNBvoZRIcGMWpwC37dfoBXtzeHwW9qqCulqiwN9Epcmp7M4La1eW3melYmXO4U6ldrqCulqhQNdBf8tW8mcRHBPPzZMo5lDrZDfY6GulKqStFAd0FseDDPDWzOqvx9vD5zPbQYoqGulKpyNNBd1KtZTfq1qsW/p//G2m37Tw31j67RUFdKeZ0G+lkY2S+T6NAgHp64lOPFJSdDPWe2hrpSyus00M9CQmQITw9oxrK8vbz580Zrooa6UqqK0EA/S1e2SKF3s5q8PO1X1u2wzxxtMQQGjdVQV0p5lQb6WRIRnhnYjPDgAB6ZuJTiEvtM25ZDNdSVUl6lgX4OkqNCeapfJos2FzJu9saTMzTUlVJepIF+jga2rk3P9GT+8f1aNu10Cu6WQ2HQG06hfsh7RSqlqhUN9HMkIvxtUAuCAhw88vkySkqcLnLW8mqnUL9aQ10pdUFooJ+HmjGhPHllJvM37ubDX3JOnamhrpS6wDTQz9PQrDp0a5LEC9+sIXd3mdBueTUMHKOhrpS6IDTQz5OIMGpwCwR49ItlnHZ9+VbXnAz1CdqnrpTyHA10N6gdG8ZjV2Qwe90uPl6Qe/oCJ0J90ywNdaWUx2igu8l1HVLp1CCBv329mq2Fh09f4ESob/xZQ10p5REa6G7icAgvXtWS4hLD45OWn971AlaoD3rDDvVrNdSVUm6lge5GqQnhjOjdlJlrC/h80ZbyFyoN9Z801JVSbqWB7mY3dUqjfVocz3y1ku37ispfqNU1MGiMhrpSyq000N3M4RD+PqQVR46X8MSkFeV3vQC0uvZkqH88TENdKXXeNNA9oH5iBH/+XVOmrd7O5KVbK17wRKhv+FFDXSl13jTQPeS2rvVpXTeWkZNXUrD/SMULtroWBr6uoa6UOm8a6B4S4BBeGtKSg0eKeWryijMv3HrYqaF+rJxhj0opVQkNdA9qXCOK+y9rzNTl25i6PP/MCzuH+oRrNdSVUmdNA93D7uzWgOa1o/nrlyvYffDomRduPQwGvqahrpQ6JxroHhYU4OClIa3Ye/gYT3+1svI3tL5OQ10pdU5cCnQR6S0ia0VknYg8WsEy3UVkiYisFJEf3Vumb8tIieaeSxvx5ZKt/G/V9srfcEqoa5+6Uso1lQa6iAQArwJ9gExgmIhkllkmFngN6G+MaQYMdX+pvu0P3RuRXjOKJyYtZ++hY5W/ofV1MOBV2DBTQ10p5RJXWugdgHXGmA3GmKPAx8CAMstcB3xhjNkMYIzZ4d4yfV9woIN/DG3FroNHefbrVa69qc31J0P9o2vg0G6P1qiU8m2uBHptwPmasHn2NGdNgDgRmSkiC0XkpvJWJCJ3iki2iGQXFBScW8U+rHntGIZf0oCJC/OYudbF33ltrrdGv+TMgTEXQ85czxaplPJZrgS6lDOt7PnsgUA74EqgF/CkiDQ57U3GjDXGZBljspKSks66WH/wx56NaZQcyWNfLGd/kQtdL2CNfrn9OwgIhHevgB9fgpJizxaqlPI5rgR6HlDX6XUdoOz57HnAt8aYg8aYncBPQCv3lOhfQgIDeGlIS7bvK+L5qWtces81b8zlmilH4a6fodlgmPEcvD8A9lUytl0pVa24EugLgMYiUl9EgoFrgclllvkSuFhEAkUkHOgIrHZvqf6jTWocd1zcgAnzNzN73U7X3xgaDVe9ZfWrb1kIY7rAb//zXKFKKZ9SaaAbY44D9wLfYYX0p8aYlSIyXESG28usBr4FlgHzgbeMMZWc7169/enyJjRIjGDE58s4eOS4628UgTY3wJ0zISoFxg+B756A45WctKSU8nsujUM3xkw1xjQxxjQ0xvzNnjbGGDPGaZmXjDGZxpjmxpjRHqrXb4QGBfD3IS3ZUniYv3/rWtfLKZKawh3ToP0dMPc/8M7vYPcG9xeqlPIZeqaoF2WlxXNzpzTem5vDLxt2nf0KgsLgyn/CNR9aYT6mGyyf6P5ClVI+QQPdyx7p3ZTU+HBGfL6Mw0fPceRKRj8YPgtqZMLnt8OX98DRg+4tVClV5Wmge1l4cCAvXNWCTbsO8c/v1577imJT4ZapcPGfYfF4GNsdtulhDKWqEw30KqBzw0Su75jK27M3sjBnz7mvKCAQej4JN/0XivbCmz1g/ptQ0W3wlFJ+RQO9injsigxqxYTxyMSlFB07z5OGGnSH4bOh/sUw9c/wyQ1w+Dx+USilfIIGehURGRLIqMEtWF9wkFd++M0NK0yC6z6Dy5+FX7+1Lhuwed75r1cpVWVpoFch3ZokcXVWHcb+tIFleYXnv0KHA7r8EW77HhwBMO4K+OkfetkApfyUBnoV88SVmSRGBvPwZ8s4ctxNwVunHdz1E2QOgOnPwgeDYP8296xbKVVlaKBXMTFhQYwa3IK12/fz6oz17ltxaAwMeQf6/xty58PrXeC3ae5bv1LK6zTQq6Ae6TUY3KY2r81Yx8qte923YhFoe5N12YDIGjD+Kvj+L3rZAKX8hAZ6FfXXfpnEhltdLyXuHnaYnA6//wGyboc5/4Z3esHuje7dhlLqgtNAr6Jiw4N5bmBzVuXvI39vkfs3EBQGff8Prn4fdq+HN7rBis/dvx2l1AWjgV6F9W5ek74tU9iy5zCHjp7FFRnPRuYA67IBSekw8TaYfB8cPeSZbSmlPEoDvYp7un8zAhzC+oKDLN7soZODYlPh1qnQ9U+w6APrsgHbV3pmW0opj9FAr+ISIkNokBRB0bFiBr02hwH/mcUXi/LcN6TxhIAguOwpuHGSdVbpmz1gwdt62QClfIgGug+ICw+mbWoczwxoxoEjx/nTp0vpPGo6//huLfl7D7t3Yw0vhbtnQ70u8PWf4NOb9LIBSvkIDXQfEeAQbuqUxrQ/XcKHt3ekTWocr85cR9cXZ3DP+EXM37gb467WdGQyXD8RLn8G1k61rrOeO98961ZKeUygtwtQZ0dE6No4ka6NE8ndfYgP5uXwyYJcvl6eT0ZKNDd3qseA1rUJCw44vw05HNDlfqulPvFWeKc39PgLdHnAmqeUqnL0J9OH1Y0P5/ErMpj3WE9eGNwCYwyPfrGci0b9wKipq8nd7YbRKnWyrFEwmf3hh6fhw0Gwf/v5r1cp5XYa6H4gLDiAazuk8s39F/PJnRfRtVEib83aSLeXZnDHe9nM+m3n+XXHhMbAkHHQ71+w+RcY0wXW6WUDlKpqtMvFj4gIHRsk0LFBAvl7DzN+3mYmzN/MtNXbaZgUwc2d0xjctg6RIefwtYtAu5uhbgf47Fb48CqrS6bHk9YIGaWU12kL3U+lxITx515Nmf1oD/7v6lZEhgTy1y9X0un5Hxg5eSUbCg6c24qTM+DOGZB1G8x+xepb37PJrbUDXPPGXK55Y67b16uUP9NA93OhQQEMbluHL+/tyqQ/dKZnRjLjf8mhxz9/5OZ35jN9zXZKSs6yOyYoDPq+DEPfhZ2/WTfPWPGFR+pXSrlOu1yqkTapcbRJjeOJKzOZMH8z43/J4bZ3s6mXEM6NF9VjaFZdYsLOovuk2SCo1QYm3m6NhNkwE3q/AMHhHtsHpVTFtIVeDSVFhfDHno2ZNaIH/x7WhqTIEJ77ejUXPf8Dj09aztpt+11fWVwa3PYtdH0QFr0Hb14K21d5rHalVMU00KuxoAAH/VrVYuLdnZlyX1f6tUrh84V59Br9E8PGzuPbFds4XlxS+YoCguCykXDDF3BolxXq2e/oZQOUusA00BUAzWvH8PchrZj3WE9G9E5n8+5DDP9wIZe8NJPXZq5j90EXboLRqCcMnw2pnWDKg/DZLXC40NOlK6VsGujqFHERwdzdvSE/PXIpb9zYjnoJ4fz927VcNOoHHv5sKSu2VHIHpagaVkv9sqdhzRR442LIXXBhileqmnMp0EWkt4isFZF1IvLoGZZrLyLFIjLEfSUqbwhwCL2a1eSj31/E9w924+qsOny9PJ++/57FVa/PYfLSrRyrqDvG4YCuD8Ct31qvx/WGWS9DiQvdN0qpc1ZpoItIAPAq0AfIBIaJSGYFy70IfOfuIpV3NakRxXMDWzD3sZ482TeTXQeO8McJi+nywnRemfYbO/ZXcEeluu3hrp8hvS9MGwkfDoYDOy5o7UpVJ6600DsA64wxG4wxR4GPgQHlLHcf8DmgP7F+KiYsiNu71mf6Q90Zd2t7MmtF8/K0X+nywnTu/3gxizbvOf0SA2Gx1nj1vqNh81x4vQusn+6F6pXyf66MQ68N5Dq9zgM6Oi8gIrWBQUAPoH1FKxKRO4E7AVJTU8+2VlVFOBzCpU2TubRpMht3HuT9uZuYmJ3Hl0u20rJODDd3SuPKlimEBtlXfBSBrFuhbkdrvPoHg6yrNvb4i142QCk3cqWFLuVMKzsebTQwwhhzxtvoGGPGGmOyjDFZSUlJLpaoqrL6iRE81a8Z8x7vybMDm3P4aDEPfbaULi9M56Xv1px6A44amfD7GdD2Zpg9Gsb18chlA5SqrlxpoecBdZ1e1wG2llkmC/hYRAASgStE5Lgx5r/uKLK6++SuTt4uoVIRIYHceFE9buiYypz1u3h3ziZen7meMT9u4HeZNbi5cxod68cjweHQ/1/QoDt8db9184z+r1hnnSqlzosrgb4AaCwi9YEtwLXAdc4LGGPqn3guIu8CUzTMqycRoUujRLo0sm7A8eEv1g04vlmxjfSaUdzcOY2BrWsT1nww1G4LE2+zxqtv+BF6j7KuE6OUOieVdrkYY44D92KNXlkNfGqMWSkiw0VkuKcLVL6rbnw4j/WxbsDx4lUtEBEe+2I5HZ+fxt++XsXmkmS47TvrMrwLx8HYS2HHam+XrZTPErfdh/IsZWVlmezsbK9sW3mHMYbsnD28O2cT367YRokx9ExP5ubOaXRlCfLfu+HIAejzAtcsaAIiPtHdpNSFJCILjTFZ5c3Tqy2qC0ZEaJ8WT/u0eLbtLeKjX3L4aP5mpr09nwZJEdzcbhJX5TxN5Ff3c39oN8bG3O/tkpXyKdpCV1515HgxU5fn8+6cHJbmFhIZEsCQlJ1cv/V5EgKLiL/sQWh3C4REebtUpaqEM7XQNdBVlbEkt5D352xiyrJ8jhaX0CIgh4HyIz3C1lH/ooHQcThE+u9w1xN3aNJuJnUmGujKpxTsP8KgV2ez6+BRDh+zTm1oIFu5NHA5PZom0b7X9QQnNfByle6nga5coX3oyqckRYVQOy6M2nFh/GNoK6av2cH0ZeF8kFODt1cEELliERfH/Y9L27Xg0o7tSIoK8XbJSlUJGuiqSqsbH87NndO4uXMah44eZ/ay35g+Zy7T8yP4ZtoemDaNVkkOLm3ZkJ4ZNWhWKxqHo7yTm5XyfxroymeEBwdyeVYGl2dlYA7tYdX08cxYuJIfdjbllR+KGf3DbyRFhdCjaTKXpifTtXEikSH6X1xVH/q/XfkkCY+jWd97adbrMPcu+YhdPz/Pj3vi+OH4xUxd2oxPsnMJChA61k+gR3oyPdKTSUuM8HbZSnmUBrrybUFh0P52EtrdwuBVXzJ41sscy/872TGdmJF4HdMLQ3lmyiqembKKBkkR9GhqhXtWWjzBgXrDLuVfNNCVf3AEQPPB0GwQQRtm0GnWaDpt/AOPh8SwufPdTI/qy/SNh3l/bg5vzdpIVEggFzdJtC4DnJ5MYqQeWFW+TwNd+RcRaNjDemxZBLNHk7roRW4JeJlb2lzPwSvuYfauSGas3cH0NTuYunwbItCyTiw9mibTMyOZZrWisa8cqpRP0UBX/qt2W7j6fdi5Dub8CxZ/SMTCd/ld5kB+1/UBzKCerNy6zxoWuWYHo3/4lZen/UpyVAg90u0Dq40SidADq8pH6P9U5f8SG1nXYL/0cZj3OmS/Ayu/QBr2oHmXB2jeoxt/7NmYnQeOMHNtATPW7ODrZfl8vCCX4AAHHRvElx5YrZegB1ZV1aWBrqqPqJpw+dNw8Z+sUJ/7GrzfH2q1ga4PkpjelyHt6jCkXR2OFZewYNNuZtit96e/WsXTX62iYVJEaeu9fVo8QQF6YFVVHRroqvoJjYGuD0LHu2HpBKs75tObIL4hdPkjtBpGUGAInRsm0rlhIk9cmUnOroOlXTPvzcnhzZ+tA6vdmiTRIz2Z7k2TSNADq8rLNNBV9RUUat28uu1NsHoyzBpt3RZvxii46G7Iug1CowGolxDBrV3qc2uX+hw8cpxZ63aWtt6/Xp6PCLSqE0tPu/WuB1aVN2igK+UIsO5pmjkQNv4Is16GaU/Bz/8H7W+zWvJRNUoXjwgJpFezmvRqVpOSEsOq/H38sHoH09fu4P+m/co///crNaLtA6tNk+miB1YrpBckcy/9X6bUCSLWzasbdIeti60W++xXrL721tdB5/sgoeEpb3E4hOa1Y2heO4b7L2tMwf4jzFy7gxlrdzBlaT4T5lsHVi9qmECPpkn0SK9BakK4N/ZOVQMa6EqVp1YbuPo92LUe5vwblnwEi96DjP7Q9QFrfjmSokIYmlWXoVl1OXq8hOxNu0v73kd+tYqRX62iUXJkaes9Ky1OD6wqt9FAV+pMEhpCv9HQ/TH45XVY8Das+q/Viu/6INS/xGrZlyM40EHnRol0bpTIX/pmsmnnyQOr42ZvZOxPG4gKtQ+sNk3mWHGJhrs6LxroSrkiqgZcNtIK8exxMO81eH8ApLS2WuwZ/a2++DNIS4zgtq71ua1rfQ4cOc6s33Yyfc12Zqwt4Otl+QBEBAfw1JcraJMaR9vUOOrGh+nBVeUyvWORUufiWBEs+xhm/wt2r4f4BtDZGvJIUOhZraqkxLBy6z6Gf7iQ/UXHOF5iOHTUulNTYmQwbVLjaJMaS9vUOFrWiSE82H/aYXpQ9OzpHYuUcregUOvm1W1uhDVTrJExUx6AGc9bQx7b326Nd3eBwyG0qBNDnbgwIIzxd3Tk1+0HWLR5D4s272Hx5kL+t2o7AAEOIb1mFG1T42hbzwr51PhwbcUrQANdqfPjCIDMAVaXy8afYPZo+OFpK+CzboWL/mCdoXoWAgMcZNaKJrNWNDdcVA+APQePsjh3D4tyClmcu4cvFuXxwbwcABIigmmTGlvakm9VJ1aHSVZT+q0r5Q4i0OAS67F1iTXccc6/rWvHtBoGXe4/bcjj2YiLCKZHeg16pFvj4YtLDL9u31/agl+0eQ/TVu8AwCGQXjO6tJumbb040hK0FV8daKAr5W61WsPQcbD7SSvUF4+HRe9DZn/o8oB1FcjzFOAQMlKiyUiJ5vqOViu+8NBRFucWsjhnD4s2F/Llkq2M/2UzAHHhQfaBVrsvvm6s3p7PD+k3qpSnxDeAvi9bQx7nnRjy+CXU72aNlmlwaYVDHs9FbHiwdcOOpsmA1Ypft8Pui8/Zw+LcQqavOdmKb1Ijirb1rNE0bVJjaZAYoa14H6eBrpSnRSbDZU9ZIb7wXZj7KnwwCGq2tIY8Zg6sdMjjuQhwCE1rRtG0ZhTDOqQCsPfQMasvfnMhizfv4aslW/nIbsXHhgfRpm5s6ZDJVnVjiAoNcntd1Z0nR/a4FOgi0ht4BQgA3jLGvFBm/vXACPvlAeBuY8xSdxaqlM8Ljbau5tjxLlj2idXPPvE2iHsWOt9HkGnEMQn2aAkx4UF0b5pMd7sVX1JiWFdwwGrB233xM9YWANYfD02So2hb72TIN0iMwOHQVnxVVWmgi0gA8CpwOZAHLBCRycaYVU6LbQQuMcbsEZE+wFigoycKVsrnBYZYV3hsfT2s+doaGfP1n/iPI5afwnrCinyrHz6uvlu7ZMrjcAhNakTRpEYU155oxR8+xtLcQnvYZCFTllnXpAGICQuidd3Y0mGTrerGEq2t+CrDlRZ6B2CdMWYDgIh8DAwASgPdGDPHafl5QB13FqmUX3IEWAdKM/rBpp/Z+PHT9Dk4GSZ+bs0PiYGUlla4p7S2rh8TVx8cnr08QExYEN2aJNGtSRJgteI37DzAopzC0rHxo38owBjr903j5MjSfvi2qXE0TIrUVryXuBLotYFcp9d5nLn1fTvwTXkzRORO4E6A1NRUF0tUys+JQP1uvBD/HAHmGB/1j4b8Jdbwx/yl8MsbUHzUWjYkGlJaWY9abax/4xt6NOQdDqFRchSNkqO4un1dAPYV2a14e1z8Nyu28fECKyaiQwNpnRpHm7qxtK0XR+u6scSEaSv+QnAl0Mv7VVvu9QJE5FKsQO9a3nxjzFis7hiysrK8c80BpaqwYgmyWuS1WkO7ExOPwY7VTiG/BOa/CcVHrPnBUVZLPqX1ydZ8QiOPhnx0aBAXN07i4sbOrfiDpePiF2/ew7+m/8aJK4s0So4sHTLZJjWOxsnaivcEVwI9D6jr9LoOsLXsQiLSEngL6GOM2eWe8pRSBATZgd3S6nsHK+QL1pxsxecvgey34XiRNT840hpFU6u13aJvDYmNPTKaBk604iNplBzJ1VlWXOwvOsayvL0syrG6ab5ftZ1Ps/MAiAoJpHVqLHl7DhEREkjenkPUjtULkZ0vVwJ9AdBYROoDW4BrgeucFxCRVOAL4EZjzK9ur1IpdaqAIKjZwnpwozWt+DjsXHuyFb91iXVlyOOHrflBEdbypX3yrSGxicdCPio0iC6NEunSKBEAYwwbdx5kkT2aZvHmQrYUWr+Aur44g+jQQNJTosmoGVV60lSTGlGEBXumPn9UaaAbY46LyL3Ad1jDFt8xxqwUkeH2/DHAX4EE4DX7N+zxiq4GppTykIBAqNHMerS53ppWfBx2/XZqyC96H46NseYHhUON5mVCvqm1LjcTERokRdIgKZIh7axxE0Nen8Oho8cZ1rEeq/P3sSZ/H58tzCu92qRDrMsOZ9SMJiPFCvr0lGhqxYRqa74cLn1rxpipwNQy08Y4Pb8DuMO9pSmlzltAICRnWI/Ww6xpJcWw87dT++QXj4f5Y635gWFQs/mpffJJTa2/CtxdnkOICg3iRvsiZGD1x+fuOcTq/H2syt/Pmvx9LNtSyNfL80uXiQkLIr20JR9Fes1omtaMIjSoerfm9UxRpaobRwAkp1uPVtda00qKrdvtOYf80o9hwZvW/MBQq+XvHPLJGR4JeYdDqJcQQb2ECHo3Tymdvr/oGGu37Wd1/j5W2/9+mp17Smu+fmIE6SnRZDoFfcqFas2XlMCRfXB4DxQVWv8ePvHvyWkP7d7AgtBOgJfOFFVK+TlHACQ1sR4tr7amlZRYN+84EfD5S2H5Z9bBV4CAECvknQ+8JmdCoGfOdo0KDSIrLZ6stPjSaSUlhs27D50S8ktzC0vvAAVWa/5EuGemRJOeYp1IVWFr/lhRpaFc7rSivWBKKt6BwDAIi6NmcTDh5qAbPpHT6R2LlFKuKymBPRth62Kn1vwyOLLXmh8QbIW6c598cqZ1dmw5PHVdk32Hili7eRur83ZaYb+jiLW7SzhcbLXUHRgahB0gPWQXGYH5ZMom0ot/o+aRHKT4cMUrFgeExkJYLITF2c/j7Ecl0+w7WZ3vPusdi5RS7uFwWNd1T2gILYZY04yxQ37JyZBfOcm6EBmAIwhqZJ5sxddqDcnNXLtV37HDJ1vCrraUDxcSXbSX9hjaO62qOFDYHFCD1SaVNdKQVcUNWLy/NlOK0zjR/REbeIz06KNkxENGUjAZNaJoXCuO0Kh4K5RDoj1+pu750EBXSp0fEetSwfENoPlga5oxsGfTya6arUtg9VfWCBsAh3Ww9q69tTjkCIdJ7zsFslNQnzh5qtztBpzaAg5PtE6oOtE6Lm0pW/8GhMVRPzSW+mGxXOH0F8O+omOsyd/Pmm37Sg/ETsjZR9G6EqCIAMc2GiTuJz1ljzXSpqY1pLJGdEiVG2mjga6Ucj8RiK9vPZoNsqYZA4WbTznwmrVjHkHmKGxMOBm+iY0r7rpwnh4S5ZaLl0WHBtGhfjwd6p/smy8uMeTsOsiaEwdh8/exKGcPXy09eU5lXHgQ6Xa4nxhS2Sg50qsjbTTQlVIXhgjE1bMemQMA+L0Hrw1+PgIcJ8fMX9Hi5EibvYePsSZ/3ylB/9H8HIqOlZx8X2JE6YlR6SlRZKZEkxx1YVrzGuhKKeWimLAgOjZIoGODhNJpxSWGTbsOsib/ZMgvzNnDZKfWfHxEcOm4+YL9R4gK9Uz0aqArpdR5CHAIDZMiaZgUyZUtnVrzh46V9suvtvvox/9iteZTYlw4IHwONNCVUsoDYsLLb80PenW2xwbKaKArpdQFEuAQj15srOoOqFRKKXVWNNCVUspPaKArpZSf0EBXSik/oYGulFJ+Qke5KKW8pqqdIerrtIWulFJ+QgNdKaX8hAa6Ukr5CQ10pZTyExroSinlJzTQlVLKT2igK6WUn9BAV0opP6GBrpRSfkIDXSml/IRLp/6LSG/gFSAAeMsY80KZ+WLPvwI4BNxijFnk5lqVUsrnefJyB5W20EUkAHgV6ANkAsNEJLPMYn2AxvbjTuB1N9eplFKqEq50uXQA1hljNhhjjgIfAwPKLDMAeN9Y5gGxIpJSdkVKKaU8x5VArw3kOr3Os6ed7TJKKaU8yJVAl3KmmXNYBhG5U0SyRSS7oKDAlfqUUkq5yJVAzwPqOr2uA2w9h2Uwxow1xmQZY7KSkpLOtlallFJn4EqgLwAai0h9EQkGrgUml1lmMnCTWC4C9hpj8t1cq1JKqTOodNiiMea4iNwLfIc1bPEdY8xKERluzx8DTMUasrgOa9jirZ4rWSmlVHlcGodujJmKFdrO08Y4PTfAPe4tTSml1NnQM0WVUspPiNW49sKGRQqAnHN8eyKw043l+ALd5+pB97l6OJ99rmeMKXdUidcC/XyISLYxJsvbdVxIus/Vg+5z9eCpfdYuF6WU8hMa6Eop5Sd8NdDHersAL9B9rh50n6sHj+yzT/ahK6WUOp2vttCVUkqVoYGulFJ+wqcCXUTeEZEdIrLC27VcKCJSV0RmiMhqEVkpIvd7uyZPE5FQEZkvIkvtfX7a2zVdCCISICKLRWSKt2u5UERkk4gsF5ElIpLt7Xo8TURiRWSiiKyxf6bdevsin+pDF5FuwAGsm2k093Y9F4J9o5AUY8wiEYkCFgIDjTGrvFyax9i3NIwwxhwQkSBgFnC/ffMUvyUifwKygGhjTF9v13MhiMgmIMsYUy1OLBKR94CfjTFv2Rc7DDfGFLpr/T7VQjfG/ATs9nYdF5IxJv/E/VmNMfuB1fj5zUPsO18dsF8G2Q/faXmcAxGpA1wJvOXtWpRniEg00A14G8AYc9SdYQ4+FujVnYikAW2AX7xcisfZ3Q9LgB3A/4wx/r7Po4FHgBIv13GhGeB7EVkoInd6uxgPawAUAOPsrrW3RCTCnRvQQPcRIhIJfA48YIzZ5+16PM0YU2yMaY11s5QOIuK3XWwi0hfYYYxZ6O1avKCLMaYt1o3m77G7Vf1VINAWeN0Y0wY4CDzqzg1ooPsAux/5c2C8MeYLb9dzIdl/ks4Eenu3Eo/qAvS3+5M/BnqIyIfeLenCMMZstf/dAUzCuim9v8oD8pz+2pyIFfBuo4FexdkHCN8GVhtj/s/b9VwIIpIkIrH28zDgMmCNV4vyIGPMY8aYOsaYNKw7gk03xtzg5bI8TkQi7AP92F0PvwP8dgSbMWYbkCsiTe1JPQG3Dm5w6QYXVYWITAC6A4kikgc8ZYx527tVeVwX4EZgud2nDPC4fdMRf5UCvCciAViNjk+NMdVmKF81UgOYZLVZCAQ+MsZ8692SPO4+YLw9wmUDbr67m08NW1RKKVUx7XJRSik/oYGulFJ+QgNdKaX8hAa6Ukr5CQ10pZTyExroSinlJzTQlVLKT2igK2Wzrzt/uf38ORH5l7drUups+NSZokp52FPAMyKSjHVVy/5erkeps6JniirlRER+BCKB7vb155XyGdrlopRNRFpgXUfmiIa58kUa6EpRequ/8cAA4KCI9PJySUqdNQ10Ve2JSDjwBfCQMWY18Cww0qtFKXUOtA9dKaX8hLbQlVLKT2igK6WUn9BAV0opP6GBrpRSfkIDXSml/IQGulJK+QkNdKWU8hP/D0VQqxi980UDAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.errorbar(x, y, yerr=0.1)\n",
"plt.plot(x, p_2(x))\n",
"plt.xlabel(r'$x$')\n",
"plt.title('2-degree polynom approximation')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e6e769d4",
"metadata": {},
"source": [
"# Упражнение 6"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "58e718dc",
"metadata": {},
"outputs": [],
"source": [
"def w(x, a=2, b=0.5, n_max=1000):\n",
" return np.sum(np.array([b ** n * np.cos(a ** n *np.pi * x) for n in range(0, n_max)]))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "5553d023",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_w(a=2, b=0.5, x0=-10, x1=10, n_max=1000, step=None):\n",
" x = np.arange(x0, x1, step or (x1 - x0) / 4000)\n",
" plt.plot(x, [w(x_i, a, b, n_max) for x_i in x])\n",
" plt.xlabel(r'$x$')\n",
" plt.ylabel(r'$w(x)=\\sum _{n=0}^{\\infty }b^{n}\\cos(a^{n}\\pi x)$')\n",
" plt.title(r'Функция Вейерштрасса')\n",
" plt.grid(True)\n",
" plt.show()\n",
"plot_w()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "2e44c687",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_w(x0=0.5, x1=0.7, step=0.005, n_max=4000, b=0.2, a=1.1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9e81c5db",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.9.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}