{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"\n",
"# Monte Carlo Integration in 1 Dimension #\n",
"\n",
"### Modules - Numerical Integration\n",
"\n",
"By Tor Nordam\n",
"\n",
"___\n",
"This notebook will give a brief introduction to one dimensional numerical integration, comparing two naïve methods:\n",
" * Riemann Sum\n",
" * Monte Carlo integration with uniform sampling\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Riemann sum ##\n",
"The Riemann sum is perhaps the simplest and most intuitive numerical integration scheme. You want to integrate a function on an interval of length $x$. Divide your interval into $N$ sub-intervals of equal length $\\Delta x = L/N$. Evaluate the function in the middle of each sub-interval. The contribution to the total area from a sub-inteval with midpoint $x_i$ is then $f(x_i) \\Delta x$, and the total value of the integral is\n",
"$$\n",
"\\Delta x\\sum_{i=1}^{N} f(x_i).\n",
"$$\n",
"\n",
"The following block of code produces a plot which visualises the Riemann sum procedure"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
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9qrrdBmOfr06rnj9nZy8iFwAA20N5DwAAAACw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\nfXkjawMAAIDNIrwHAAAANtwYHV09rMUu+4dXR60w5PPVC6rfnrOPbHB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1AQAAbJoxOrrF\naWc/WP1QdftVDv1ci2vHXlq9bc4O6aqxpSP0X1CdVZ1bPeAGur65emb1MqekAQAAANvNlgnvl/y3\n6v7VI/Zq+zfVT40x/qbFsfinVCcsG3dl9dg55+VrXG+l9P3u1W2Xtd2keska19ltK510AAAAcD1j\ndKPqQS0C+0dWt17l0L9pEda/tHrHnK3rjvelMP6C6oIxxqnVPasTlz7+YvWhOedF67kmAAAAwOG0\npcL7OeccYzym+u3qR/b66Kjqm25g2KXVo+ecf7nR9R2iG9zhDwAAsJnG6ObVw1rsbH9o+14bdiAX\ntSewf8+ch+fnnqWQXlAPAAAAHFG2VHhfNef8evVjY4yXVk+tvvUGun65ekF1/pzz0rUus8Z+h/oL\nqDWdrw8AALDRxuik6swWO+z/WXXsKod+uD2B/QcOV2APAAAAcKTbcuH9bnPOl1UvG2PcpbpvdbsW\nv0y6rMUvi956MHcYzjlXfXT9nPONOeoeAAA4QozRyS3C+h9scZf9av/Q+H3Vy6uXztmHNqY6AAAA\ngJ1ty4b3u805P1F9YrPrAAAA2G7GaFSntTgO/we74ZPNlpvVW1oE9q+Ys09tTIUAAAAA7Lblw3sA\nAABWb4x2tTi9bPcO+1NXOfTq6k9bBPZ/OGef35gKAQAAANgf4T0AAMA2N0bHVA9sEdY/qrrtKod+\npXpN9bLqNXN2+YYUCAAAAMCKhPcAAADb0BjdvHpIdWb18OoWqxx6afWHLXbY/+mcfW1jKgQAAABg\nLYT3AAAA28QY3b56ZIvA/nurY1c59LMtwvqXV2+Zs2s2pkIAAAAADpbwHgAAYIsao1H9kxZh/ZnV\nt69h+IdbHIf/8uo9czbXv0IAAAAA1ovwHgAAYAtZur/+AS3C+kdWJ69h+Dta2mE/Zx9d/+oAAAAA\n2CjCewAAgE22dH/9D7QI7B/W6u+vv7p6Q/XK6g/n7P9uTIUAAAAAbDThPQAAwCYYoztW/7w999cf\ns8qhl1WvaRHYv3bOLt+YCgEAAAA4nIT3AAAAh8HS/fXf0uIo/DOre69h+N+0COtfWb15zq5e/woB\nAAAA2EzCewAAgA0yRsdW39MisH9kdec1DH9X9YctAvsPzNlc/woBAAAA2CqE9wAAAOvtt979w+OX\nOqN6SHWzVY66uvrzFmH9q9xfDwAAALCzCO8BAAAOxVXH17FX7tt2+R1/Y5WjL6te3SKwf5376wEA\nAAB2LuE9AADAGo3RjavvrR7RTT7xyP79bdcy/NPtub/+Le6vBwAAAKCE9wAAAKsyRrerHl49onpQ\ndXxV86jVDH9ne+6v/6D76wEAAABYTngPAACwH2O0q7p39c9bBPb3Xv3o+ZXqT6o/ql4zZ3+/ASUC\nAAAAcAQR3gMAACwZo5u22FX/iBa77L/xoCb6kbPuPp/7ls+tY2kAAAAAHOGE9wAAwI42Rie35zj8\n762OW+XQ66q3dfwlb6j+0z6f3OmtV61jiQAAAADsAMJ7AABgRxmjY6vTq4dVD63uuYbhX6pe2+I4\n/D+esy+M80+7TcvDewAAAABYI+E9AABwxBujO7QI6h/W4lj8m65h+MeqV7UI7N86Z1evf4UAAAAA\n7HTCewAA4IgzRsdU92vP7vp/uobh11RvahHWv3rOPrb+FQIAAADAvoT3AADAEWGMblv9QIvA/sHV\nCWsY/oXqNS0C+9fN2ZfWv0IAAAAAuGHCewAAYFsao6Oq+7Znd/291zjFu1oE9q+p3jVn165vhQAA\nAACwesJ7AABg2xij27Rnd/33V7dcw/DLqte1COtfN2efX/8KAQAAAODgCO8BAIAta2l3/be3Z3f9\nfaqxhineW/1xi8D+r+bsmnUvEgAAAADWgfAeAADYUsbodi121f9Ai7vr17K7/vLq9S3C+tfO2d+u\nf4UAAAAAsP6E9wAAwKYao+OqB1QPWXr+yRqn+EB7dte/bc6uXt8KAQAAAGDjCe8BAIDDaoxGdbf2\nhPUPrI5fwxRfqf60RVj/x3P22fWuEQAAAAAON+E9AACw4cbohOr7WoT1P1DdeY1TfKRFWP+a6i1z\n9vX1rRAAAAAANpfwHgAAjiBjjFOr06pbLDVdVl0457zo8NbRrureLYL6h1T3q45awxRfarG7/nXV\n6+bsM+teJAAAAABsIcJ7AADY5sYYx1VnVedWp99An7dUz6z+YM551cbU0W2r728R1j+4uvUahs/q\nnS2F9dVfzdk1614kAAAAAGxRwnsAANjGxhjnVE+rTlqh6+lLz8VjjKfOOZ996Gt3o6U5H9wisP+W\nNU7xd+0J618/Z1841JoAAAAAYLsS3gMAwDY0xthV/Vp13hqHnlQ9a4xxWvWUOed1q1+zXS0C+gdX\nD6oeUN1oDWtfVb25em2LwP6DczbXMB4AAAAAjljCewAA2J4OENzfvLrL0vefqC7fX6fzWhxV/7MH\nWmSM7tSesP6fVbdZY50fbc/u+jfO2VfWOB4AAAAAdgThPQAAbDNLR+XvJ7g/o3pS9ajqmKW2q6tX\nVL9ZvXH5gCePMS6ccz5nz9ydUH1vi7D+wdXd1lje5dWftRTYz9mn1zgeAAAAAHYk4T0AAGwjY4zj\nWtxxv5djqudWZ+9nxDHVY5aeF1VPaBHo/+Pn/3WMf/hE3XJ3YP+d1VFrKOm66l3V61sE9m+fc58F\nAAAAAIBVEN4DAMD2claLe+v38rzqcasYujvc/5UWm+ofXJ1xUt3sz9dYwydahPWvr94wZ19c43gA\nAAAAYBnhPQAAbC/n7vt6RqsL7nc7u/3v0D+gf2hxFP7rqz+ds0+tdQIAAAAA4MCE9wAAbLhx/ji6\nOnGz69j2XtkpHd/p+zaeXV2yzgvNqzrqqr/quCve2K0+/sYe9tMf6ITPXrf703F+t1nnBbe7W212\nAQAAAABsf8J7AAA21Dh/PK56RnXCZtey7Z25v8YnbsRKx1YPWHqeuhELAAAAAAD72rXZBQAAcORa\n2nEvuGcnOmqzCwAAAABgexHeAwCwkU5McM/OdIvNLgAAAACA7UV4DwAAAAAAAACbzJ33AAAcbves\nLt3sIraUq46v1z795D53n9P72onf0zU3+u7mrtts3IKvrM7Zt+nu3bcz+9TGrXlEu2v11s0uAgAA\nAIDtTXgPAMDhdun8xXnJZhex2cbo5OqBS8/3Vnda+yzvrT5W/fAax71oecOb53vmO9a+PlXj/HGr\nza4BAAAAgO1PeA8AABtsjEbtE9afUd35IKb6aL37M/XLD643Vl9Yar6qOnuVU7ywetPyxmceRC0A\nAAAAwDoS3gMAwDpbCutPaU9Y/8Dqjgcx1WeqP6v+vHrDnH1ujO84bqn9pD3dnrD0daUA/0XVE5c3\nXly97CBqAwAAAADWkfAeAAAO0VJY/03tG9bf4SCmurhFUL87sP/UnM29O8w5vz7GeGr1rD2tV1eP\nr55TPal6VHXs0mdXVa+ofrP97Liv+oU551UHUSsAAAAAsI6E9wAAsEZLYf2pLY6/f+DSc/uDmOrS\nFuffv7FFWP+h5WH9/sw5nz3GOK06b99P3rT03GypvKqLqituaKqnzzmfcxB1AwAAAADrTHgPAAAr\nWArr79q+Yf3tDmKqS6u/WHre2CKsv+4gy3rK0tfzrv/RFdV7Vxr/9OrnDnJtAAAAAGCdCe8BAGCZ\nMdpV3bP6nuoBLUL72x7EVJd0/bB+xZ31qzHnvK568hjjwupp1UmrHHpxi6Py7bgHAAAAgC1EeA8A\nwI43RsdU925PWH96deJBTHVxe8L6v6g+sl5h/Q1ZOkL/BdVZ1bkt6t+fN1fPrF7mjnsAAAAA2HqE\n9wAA7DhjdJPqu1oE3Q9Y+v74g5jq8+0b1n90o8P6/VkK4y+oLhhjnNri1IDdf3zwxepDc86LDndd\nAAAAAMDqCe8BADjijdEtW+ym3x3Wf3sH9//Cf9++Yf3HNiOsP5ClkF5QDwAAAADbjPAeAIAjzhjd\noT1B/QOqex3kVJ+p3tTiyPm/qD6+1cJ6AAAAAODIILwHAGBbG6NR3a19w/pTDnK6D7UI6t9cvXnO\nPrMuRQIAAAAArEB4DwDAtjJGx1X3rr67uv/S15MOYqprq/e0J6x/y5xdul51AgAAAACshfAeAIAt\nbYxu3Z6Q/rur76iOO4ipvla9vUVQ/6bq7XP25fWqEwAAAADgUAjvAQDYMpaOwP/m9g3r73aQ011W\nvaU9O+vfPWdXrUedAAAAAADrTXgPAMCmGaMbV/dpT1h//+qWBznd37bXffXVB+fsuvWoEwAAAABg\nownvAQA4vJ79l48Yv9S9WoT1966OOYhZZnVh9dbqbUtfPzlnc93qBAAAAAA4jIT3AABsiDE6unv8\n/mn98GP2/eCLd3neQUx3ZfVXLUL6t7a4r/6yQy4SAAAAAGCLEN4DALAuxuik6ruWnvtV9+lvzrjJ\nQU73ufYE9W+t3j9nV69LoQAAAAAAW5DwHgCANRujY6tvaU9Q/13VKQc53XXV+9s3rP+sI/ABAAAA\ngJ1EeA8AwIrG6A7tG9R/e3XcwU123Zdb3FO/+676v5qzK9anUgAAAACA7Ul4DwDAPsboxi3C+e/a\n67n9ui3wU/c5df7aZz6/bvMBAAAAABwBhPcAADvYGI3qm9o3qP/WDv7/E79SvaN6e/X27vsbH68+\ntE+PEz573cHWCwAAAABwpBLeAwDsIGN0m+o7q/ssff3O6laHMOVH2h3U119WF87Ztf+43vn/5TaH\nMDcAAAAAwI4hvAcAOEKN0U2re7dvUH/yIUx5WfVXLUL6t1fvmLMvHmKZAAAAAAAkvAcAOCKM0THV\nvdoT0t+nOq3adZBTXld9sD1B/durj82ZI+8BAAAAADaA8B4AYJtZuqf+Lu0J6r+z+ramclR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qi5zmYRx0fEzzPznH7FOsgiWI/iYevVAvzo9kb3bc37dhg9+ca3/mxag23Ps4wuwpdfV9u/6fBO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\nSZIkSZIkSTX7/0Wz6T7X+xWIAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# These lines import the numpy library, set up matplotlib\n",
"# to be used directly in the notebook and makes division work\n",
"# like it does in Python 3, so that 1/2 = 0.5 instead of 1/2 = 0\n",
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from __future__ import division\n",
"\n",
"# Set common figure parameters:\n",
"newparams = {'axes.labelsize': 11, 'axes.linewidth': 1, 'savefig.dpi': 300, \n",
" 'lines.linewidth': 1.0, 'figure.figsize': (8, 3),\n",
" 'ytick.labelsize': 10, 'xtick.labelsize': 10,\n",
" 'ytick.major.pad': 5, 'xtick.major.pad': 5,\n",
" 'legend.fontsize': 10, 'legend.frameon': True, \n",
" 'legend.handlelength': 1.5}\n",
"plt.rcParams.update(newparams)\n",
"\n",
"# Define a function to use as an example\n",
"def f(x):\n",
" return x**2\n",
"\n",
"# Clear plot and set limits\n",
"plt.clf()\n",
"start = 0\n",
"stop = 1\n",
"plt.xlim(start, stop)\n",
"plt.ylim(start, stop)\n",
"\n",
"# Plot the function to be integrated, using 1000 points\n",
"# to get a smooth curve\n",
"X = np.linspace(start, stop, 1000)\n",
"plt.plot(X, f(X))\n",
"\n",
"# Draw the rectangles used in the Riemann sum\n",
"# There are N rectangles\n",
"N = 10\n",
"# Each has width dx\n",
"dx = (stop - start)/N\n",
"# Create a vector of the midpoints of each rectangle\n",
"X = np.linspace(start + dx/2, stop - dx/2, N)\n",
"# Draw the midpoints as circles\n",
"plt.scatter(X, f(X))\n",
"# For each rectangle, draw the borders using a line plot\n",
"for x in X:\n",
" plt.plot([x-dx/2, x-dx/2, x+dx/2, x+dx/2], [0,f(x), f(x), 0], color = \"g\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Monte Carlo integration with uniform sampling ##\n",
"The simplest Monte Carlo integration scheme is essentially very similar to the Riemann sum method, except that the points where the function is to be evaluated are selected at random, instead of being equally spaced. Uniform sampling means that each point has the same probability of being selected. More advanced versions of Monte Carlo integration can for example use denser sampling in areas where the function value changes rapidly (*i.e.*, where the derivative of the function is large).\n",
"\n",
"For a large number of random points, the integral obtained by the Monte Carlo method will approach the true value of the integral.\n",
"\n",
"The following block of code produces a plot which visualises this Monte Carlo integration method."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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5nF241IAAwK6X92/rou9pv8EY49sO8dwfXnf82h1J9GW/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\nWbyXJEmSJEmSJEmSJKlh/w01ePiPrfK2PwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Define a function to use as an example\n",
"def f(x):\n",
" return x**2\n",
"\n",
"# Clear plot and set limits\n",
"plt.clf()\n",
"start = 0\n",
"stop = 1\n",
"plt.xlim(start, stop)\n",
"plt.ylim(start, stop)\n",
"\n",
"# Plot the function to be integrated, using 1000 points\n",
"# to get a smooth curve\n",
"X = np.linspace(start, stop, 1000)\n",
"plt.plot(X, f(X))\n",
"\n",
"# Draw the rectangles used in the Monte Carlo method\n",
"# There are N rectangles\n",
"N = 10\n",
"# Each has width dx\n",
"dx = (stop - start)/N\n",
"# Create a vector of the midpoints of each rectangle,\n",
"# using uniform random numbers from the function np.random.random()\n",
"# This function returns numbers on the interval [0, 1).\n",
"# We scale the numbers to the interval [start, stop) by multiplying\n",
"# with the length of the interval, and adding the start point\n",
"# You can easily convince yourself that this works by confirming that\n",
"# 0 maps to start and 1 to stop.\n",
"X = np.random.random(N)*(stop - start) + start\n",
"# Draw the midpoints as circles\n",
"plt.scatter(X, f(X))\n",
"# For each rectangle, draw the borders using a line plot\n",
"for x in X:\n",
" plt.plot([x-dx/2, x-dx/2, x+dx/2, x+dx/2], [0,f(x), f(x), 0], color = \"g\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Defining functions for numerical integration ##\n",
"Next, we will define two functions for carrying out numerical integration using the Riemann sum, and the Monte Carlo method with uniform sampling. We will use the fact that in Python, it is possible to send a function as an argument to another function, in order to make general integrators that can be used on any function of one variable."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Riemann sum ###"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# The arguments to this function are:\n",
"# f, the function to be integrated. Must take one argument only\n",
"# N, the number of points to evaluate the function on\n",
"# start, the start of the integration interval\n",
"# stop, the end of the integration interval\n",
"def riemannSum(f, N, start, stop):\n",
" # The width of each rectangle\n",
" dx = (stop - start) / N\n",
" # Array with the midpoint of each rectangle\n",
" X = np.linspace(start + dx/2, stop - dx/2, N)\n",
" # When f(x) is applied to an array, it returns an array \n",
" # of equal size, holding the result of applying the function\n",
" # to each element of the original array. We take the sum \n",
" # of the resulting array, and multiply by dx\n",
" return sum(f(X))*dx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Monte Carlo ###"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# The arguments to this function are:\n",
"# f, the function to be integrated. Must take one argument only\n",
"# N, the number of points to evaluate the function on\n",
"# start, the start of the integration interval\n",
"# stop, the end of the integration interval\n",
"def monteCarloIntegration(f, N, start, stop):\n",
" # The width of each rectangle\n",
" dx = (stop - start) / N\n",
" # Array with the midpoint of each rectangle, from uniform random numbers\n",
" R = np.random.random(N)*(stop - start) + start\n",
" # When f(x) is applied to an array, it returns an array \n",
" # of equal size, holding the result of applying the function\n",
" # to each element of the original array. We take the sum \n",
" # of the resulting array, and multiply by dx\n",
" return sum(f(R))*dx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Application 1 ##\n",
"Here, we will apply our two different integration schemes to calculate the simple integral\n",
"$$ \\int_0^1 x^2 \\;\\mathrm{d}x = \\frac{1}{3} $$\n",
"and compare the results. Observe that the Riemann sum generally works better for this example, *i.e.*, it gives better accuracy for the same number of function evaluations (the function is evaluated $N$ times in both cases). Note also that the Riemann sum always gives the same result, while the Monte Carlo method will fluctuate randomly. Observe how the accuracy of both increase when you increase the number of points, $N$."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Riemann Sum: 0.33328125\n",
"Monte Carlo: 0.324834433076\n"
]
}
],
"source": [
"# Simple example function\n",
"def f(x):\n",
" return x**2\n",
"\n",
"# Define the number of points and the interval\n",
"N = 40\n",
"start = 0\n",
"stop = 1\n",
"print 'Riemann Sum: ', riemannSum(f, N, start, stop)\n",
"print 'Monte Carlo: ', monteCarloIntegration(f, N, start, stop)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Application 2 ##\n",
"Why do we bother talking about Monte Carlo integration when the Riemann sum seems work better? Because this is not always the case. Here, we will look at another example, the integral\n",
"$$ \\int_0^1 \\sin^2 \\left( 20 \\cdot 2\\pi x \\right)\\; \\mathrm{d}x = \\frac{1}{2}.$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Riemann Sum: 1.0\n",
"Monte Carlo: 0.456172878783\n"
]
}
],
"source": [
"# Simple example function\n",
"def f(x):\n",
" return np.sin(20*2*np.pi*x)**2\n",
"\n",
"# Define the number of points and the interval\n",
"N = 40\n",
"start = 0\n",
"stop = 1\n",
"print 'Riemann Sum: ', riemannSum(f, N, start, stop)\n",
"print 'Monte Carlo: ', monteCarloIntegration(f, N, start, stop)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So what happened here? The result of the Riemann sum is 1.0, while the result of the Monte Carlo integration is at least in the right neighbourhood. The reason is that the function we looked at, $f(x) = \\cos^2 ( 20\\cdot 2 \\pi x)$, varies between 0 and 1, and has 40 local maxima on the interval from 0 to 1. Using the Riemann sum, we sampled at 40 points, an as it happens, those 40 points are exactly the 40 maxima. Observe that changing the number of points (even to 41) gives a better answer for the Riemann method.\n",
"\n",
"This is of course an example which is constructed to make the Riemann sum method perform poorly, but the principle holds. For rapidly oscillating functions, the integration will be sensitive to where you choose to sample. In these cases, Monte Carlo integration may perform better than schemes which use equally distributed function evaluations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bonus ##\n",
"\n",
"Here are two blocks of code which will visualise the example above."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
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PXVIw0w3lvc5sH1U46PHSQKu/M7tp8V+fFyu8qfmbXQ9UOCORkLgyzSxi050s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\nj/23TXGDu2s9XD5z08g1S5GQOI+gngmWa5CoZy6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N7jRq+cylnnGUGjhHPdOoZRaxRE1j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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The function to be integrated\n",
"def f(x):\n",
" return np.sin(20*2*np.pi*x)**2\n",
"\n",
"# Clear plot and set limits and figuresize\n",
"# We plot the interval from 0 to 0.4 only to make it easier to see\n",
"plt.clf()\n",
"plt.xlim(0, 0.4)\n",
"plt.ylim(0, 1.1)\n",
"\n",
"# Plot the function to be integrated, using 1000 points\n",
"# to get a smooth curve\n",
"start = 0\n",
"stop = 1\n",
"X = np.linspace(start, stop, 1000)\n",
"plt.plot(X, f(X))\n",
"\n",
"# Draw the rectangles used in the Riemann sum\n",
"N = 40\n",
"dx = (stop - start)/N\n",
"X = np.linspace(start + dx/2, stop - dx/2, N)\n",
"# Draw the midpoints as circles\n",
"plt.scatter(X, f(X))\n",
"# For each rectangle, draw the borders using a line plot\n",
"for x in X:\n",
" plt.plot([x-dx/2, x-dx/2, x+dx/2, x+dx/2], [0,f(x), f(x), 0], color = \"g\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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6n0m9Sp0GVk3E+Cfh9NtCZZXDlXjj5MgnozEKk6wOXQ03vYJa5hKHcn/wo8CF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\n/271bFBAdJPa9JQP3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VAJRE4Sd6jo6YFFh2qSOKt9qui5U/3abIz5paiaenLeobpxLque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6mhzHXM6hzdAkLgtuyimLG6jPodo15f3S8+FGq7KhnmVBPTOmyuXK+Ue7ppxD51GG6e/ajEIm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\nwOe47jlmjHqmytVwzC0Lmv5lwcoNZSG/12UAZ1J0pFRo+o8HGsT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fufLEnAH3UHu2ZcHW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+NPu/vQ9C3ufjfFB5F1122Aw+JD7zXu3Nn868oYYgaGQpDYjCPpX4UBCvqnqhD0N4spiP9h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\njaHSpGT7p5ntCPxLruhL7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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The function to be integrated\n",
"def f(x):\n",
" return np.sin(20*2*np.pi*x)**2\n",
"\n",
"# Clear plot and set limits and figuresize\n",
"# We plot the interval from 0 to 0.4 only to make it easier to see\n",
"plt.clf()\n",
"plt.xlim(0, 0.4)\n",
"plt.ylim(0, 1.1)\n",
"\n",
"# Plot the function to be integrated, using 1000 points\n",
"# to get a smooth curve\n",
"start = 0\n",
"stop = 1\n",
"X = np.linspace(start, stop, 1000)\n",
"plt.plot(X, f(X))\n",
"\n",
"# Draw the rectangles used in the Riemann sum\n",
"N = 40\n",
"dx = (stop - start)/N\n",
"X = np.random.random(N)*(stop - start) + start\n",
"# Draw the midpoints as circles\n",
"plt.scatter(X, f(X))\n",
"# For each rectangle, draw the borders using a line plot\n",
"for x in X:\n",
" plt.plot([x-dx/2, x-dx/2, x+dx/2, x+dx/2], [0,f(x), f(x), 0], color = \"g\")"
]
}
],
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 1
}