Created
March 16, 2018 17:09
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 47, | |
| "metadata": { | |
| "scrolled": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\mathcal{O}\\left(x^{3}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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rjZKbm8u2bdvMA7V69HCONcIqvo74+Hi7Gk/grLQqT0dZ/KuxVOKwM02bNiU7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\n4skZjwOLGnjsdsoGUFbc9hxQBIQZ/drq8TpaUl4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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11ef2d9e8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} + \\mathcal{O}\\left(x^{5}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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pJkPbq1ixIgCnTp1y+7rnIuKs17R//37L3IhvRFJSEpcuXSIvL89pelYgMDCQ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\nAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11d354ef0>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\mathcal{O}\\left(x^{7}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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UlBRq165NzZo1dcfxCVM4/IzD4XCfJzUDHtrH6XSSmJgIBO956dtvvx1wXcsx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\nb97sLhbWbHJGYLNmbXzttdcYN24cO3b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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11d33e048>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} + \\mathcal{O}\\left(x^{9}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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ZmZkUFhZ6VR/4kJAQGjRoYP57VRd3Go7ZwAPAd0qpJ3F4Cs8ChwAz5UMp1RzH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\ngp4IxxEEQRD0xH8ArZShE5RHLYQAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11f097dd8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} - \\frac{x^{10}}{3628800} + \\mathcal{O}\\left(x^{11}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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btm2kp6dTt25dateubXU4PqETh5+x2WxmO6le8NB7CgsLWbNmDRC83xKHDnXt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\nJY7nL3Jcj7P+nQZc5624rGZF4ujSpQt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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11e6235f8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} - \\frac{x^{10}}{3628800} + \\frac{x^{12}}{479001600} + \\mathcal{O}\\left(x^{13}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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ccMMNFqupGEaaFCPflqepVasWBw4cMKOpgxVjfcMYrRrxG76AiJCRkcGBAwfc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\nP7+4HrThKIHyJHYUkUIFtZVS3wCrcP7wXchwlCu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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11e7e9160>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} - \\frac{x^{10}}{3628800} + \\frac{x^{12}}{479001600} - \\frac{x^{14}}{87178291200} + \\mathcal{O}\\left(x^{15}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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ppZeSkpLCsGHDgtq7zWvfkvzI8F7AFuBj4BNgJ9BLRE4XOlUBYcW0bMa5pPUm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\nyfK0WG+ilLIBnwC9gWtEZFkF+orFGc+w3EPytKK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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11d6d6c18>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} - \\frac{x^{10}}{3628800} + \\frac{x^{12}}{479001600} - \\frac{x^{14}}{87178291200} + \\frac{x^{16}}{20922789888000} + \\mathcal{O}\\left(x^{17}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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62wCsXm2hwno9J06cIDMzU3M0oW/27NkANGnSRHMk/mESR4Bp1qwZAOvWrdMc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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11d8762e8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/latex": [ | |
| "$$f(x) = 1 - \\frac{x^{2}}{2} + \\frac{x^{4}}{24} - \\frac{x^{6}}{720} + \\frac{x^{8}}{40320} - \\frac{x^{10}}{3628800} + \\frac{x^{12}}{479001600} - \\frac{x^{14}}{87178291200} + \\frac{x^{16}}{20922789888000} - \\frac{x^{18}}{6402373705728000} + \\mathcal{O}\\left(x^{19}\\right) $$" | |
| ], | |
| "text/plain": [ | |
| "<IPython.core.display.Math object>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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kjiBjNZCvWrVKcyThz2rfiIuLC9jER4Fy8cUXe8tLfP7555qjCX/WlV04j93I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\nMErl/wE75E3N4RPETwAAAABJRU5ErkJggg==\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x11ef1fd30>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from IPython.display import Math\n", | |
| "from sympy import *\n", | |
| "init_printing()\n", | |
| "\n", | |
| "x = Symbol('x')\n", | |
| "f = cos(x)\n", | |
| "\n", | |
| "N = 20\n", | |
| "xlm = [-2*np.pi,2*np.pi]\n", | |
| "ylm = [-1,1]\n", | |
| "X = np.linspace(xlm[0], xlm[1], 100)\n", | |
| "\n", | |
| "for i in range(3,N,2): \n", | |
| " F = f.series(x, x0=0, n=i)\n", | |
| " display(Math(r'f(x) = %s ' % (latex(F))))\n", | |
| " \n", | |
| " evalfunc = lambdify(x, f, modules=['numpy'])\n", | |
| " evaltaylor = lambdify(x, F.removeO(), modules=['numpy'])\n", | |
| "\n", | |
| " plt.plot(t, evalfunc(X), 'k--', label=f)\n", | |
| " plt.plot(t, evaltaylor(X),'k', label='Maclaurin')\n", | |
| " plt.legend(loc=1)\n", | |
| " plt.xlim(xlm)\n", | |
| " plt.ylim(ylm)\n", | |
| " plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "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": "3.6.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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