{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Some plots\n", "\n", "Start of by importing numpty and pyplot. The line magic function (indicated by %) ensures plots appear in the notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Firstly, one way to stick pictures in the mark-up cells is:\n", "![Title](Cable-tray.png)\n", "Now try the simplest plot possible." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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PPx06iUjRy8jwIw8XXhg6SfxTgRCRiJx4Ipx3npZ0SvL58Ue/dXXPnv5Wneyd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\n66J2bejfP3QaCU0FQkRkJ9W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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nPts = 25\n", "xBot = 0.0\n", "xTop = 2*np.pi\n", "xArr = np.linspace(xBot,xTop,nPts)\n", "yArr = np.sin(xArr)\n", "plt.plot(xArr,yArr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The colour and type of the line drawn can be changed. Titles and axis labels can be added. Use plt.gca() to get current axes. Help plt.plot gives many options. Note here that the second curve is added to the figure that is already open. Can close plots with plt.close()." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7VBQOM5sBvOScG5dcNuAD4I/Ouasa2f4K/GiuA1LWPQBs6pw7qInXGAjMAqio\nqFBLiEgeqaur43/+J8bLLyfo2zfCyy/HKSvTKVORfBCNRr87XQoMcs7Nbm77jIsQMxsKDAXKaNDB\n1TmX/gmhlr/u4cBd+KtiZuKvcjkM2NE5t9jMJgJbOeeOTm6/LX5ivZuBycnM1wEHOecadlitf42B\nwKwBAwYwbdo0/QcnkodOOQUeeMBPq7DxxqHTiAj4LwnDhg2rPyWzwSIk0xFTL8BPWDcU31l0swa3\nrHHOTQVOBy7G90PZDRjunFuc3GRLYOuU7d8Hfg7sB7yKL1qOb6oASTV58mQVICJ56owz4Msv4bbb\nQicRkXplZWVMnjw57e0zmsAO3wpxjHPu3gz3bxXn3M34lo3GHju2kXXP4y/tFZEi0bcvjB4NV1/t\nL6Xv0iV0IhFpqUyHbd8IeLEtg4iItNTZZ0NdHbTgi5eI5JFMi5DbgVFtGUREpKX694fbb4eDGu1i\nLiL5LtPTMZ2BE8xsP+A1YFXqg865U1sbTEQkHceudwJWRApFpi0hu+E7ea4BdsVPJFd/+2HbRBMR\nEZF89u23cMAB8PQGL/VoXEYtIc65n2X2ciIiIlIspk6FJ5+EiRMz2z/TlhAREREpYWvWwGWX+T5Z\nu++e2XOk3RJiZnH8ZblfJO83yTkXyyyOiIiIFIJHHoG33vKdwzPVktMxSwGXcl9ERERKkHO+FWTf\nfWHPPTN/npbMopvaB30s0M459zV8NzT6ocBc59yTmccREWmdDz+EpUth111DJxEpXv/8J8yeDc88\n07rnyfQS3UeBOHCrmW0KzMBfptvTzE51zt3SulgiIpn51a9g9Wp44QUwC51GpPg4B5de6ltAftbK\ny1Qy7Zg6EHghef8woBbYBhgN/LZ1kUREMnfGGVBdDc8/HzqJSHFKJKCmBiZMaH2hn2lLSFfgy+T9\nYUDcObfGzGbgixERkSB+/nMYMMB/UxsyJHQakeKz1VYwfz506tT658q0JeRd4FAz2xoYjp9RF6AM\n+KL1sUREMmPmv6E9/TS89FLoNCLFqXPntjndmWkRcjFwNfA+8JJzbnpy/TDgldbHEhHJXCwGO+7o\ne++LSP7KqAhxzj0M9AX2AA5IeegZYHwb5BIRyVi7dnDOOfD44zBnTug0ItKUjEdMdc4tcs694pxb\nk7JupnPu7baJJiKSuZEjYbvt4PLLQycRkaZk2jFVRCSvdegAN98M3bqFTiIiTVERIiJF64ADNryN\niISjCeyeeVBHAAAWvklEQVRERESkSTU1sN9+sGBB2z+3ihARERFp0h/+AK+/Dr16tf1zqwgRERGR\nRi1cCHfeCaeeCl27tv3zqwgRERGRRl19NWy8MZx4YnaeX0WIiIiIrKeuDv70Jxg3Dnr0yM5rqAgR\nkZLx9ddQVRU6hUhhmDQJ2reHU07J3muoCBGRknHFFXDQQfDZZ6GTiOS3JUvgxhvhpJNg882z9zoq\nQkSkZJx8MqxaBTfcEDqJSH6bMQM6dvQdUrNJRYiIlIzevWHMGLjuOvjyy9BpRPLXQQf5K2PKyrL7\nOipCRKSknHEGfPUV3Hpr6CQi+S0bl+Q2pCJERErK1lvD0UfDNdfAsmWh04iUNhUhIlJyzj4bFi+G\nO+4InUSktKkIEZGSU14Oo0b54ahXrgydRqR0aRZdESlJEybAsGHQTl/FRIJRESIiJWmHHfxNRMLR\ndwARKVm1tbVEo1HKy8uJRqPU1dWFjiSSc7W1teywQ5Tu3cupqMjt34GKEBEpWZWVlVRXV1NTU0N1\ndTWxWCx0JJGci8UqmTevmq++quHFF3P7d6AiRERKViKRaHZZpBT897/h/g5UhIhIyYpEIs0uixS7\nlSvhiy/C/R2oY6qIlKx4PE4sFiORSBCJRIjH46EjieTU5MmwYkWc3XePsXRp7v8OVISISMkqKyuj\nqqoKgDVr4LHH4IADoHPnwMFEcmDZMrjkEhg1qoz7768KkkGnY0REgAUL4LDDNKeMlI5bb4XaWrjo\nonAZVISIiADbbQfHHAMTJ/oJ7kSK3RtvwLHHQv/+4TKoCBERSTrvPPjsM7jhhtBJRLLvjjvgllvC\nZlARIiKStM028L//C1deCZ9/HjqNSPZ1CNwzVEWIiEiKc86BFSvgmmtCJxEpfipCRERSRCJw8slw\n3XWweHHoNCLFTUWIiEgDZ50FZnDttaGTiBQ3jRMiItLAFlvAI4/AwIGhk4gUNxUhIiKN2Hff0AlE\n2tbKlbDRRqFTrEunY0RERIrc/Pmw9dYwY0boJOtSESIiIlLkLroI2rWD3XYLnWRdOh0jIiJSxN5+\nG+69F66/Hrp2DZ1mXWoJERERKWIXXAB9+sCYMaGTrE8tISIiIkXq1Vdh6lS4/Xbo1Cl0mvWpJURE\nJA2vvw6XXx46hUjLnHeen6Bu9OjQSRqnIkREJA2vvQbnngsvvRQ6iUh6ZsyAv/3Nd0rt2DF0msap\nCBERScORR8Iuu8CECaGTiKRn5Uo47DA44ojQSZqmIkREJA3t28PFF8PTT8Nzz4VOI7Jhe+8NDz3k\n37v5SkWIiEiaRoyAQYN8a4hzodOIFD4VISIiaTKDSy+F6mr45z9DpxEpfCpCRERaYPhwiEbVGiLS\nFlSEiIi0QH1ryJw5MHt26DQihU2DlYmItNCQIWsnBBORzKklREQkAypAJN/Mnw+rV4dO0TIqQkRE\nRArcqlWw337wu9+FTtIyKkJEREQK3J13+paQE04InaRlVISIiIgUsOXL4ZJL/Ki+P/hB6DQtU1BF\niJltZmb3m9lSM/vMzG43s24b2OdOM1vT4PZErjKLiIhk0223QSIBF14YOknLFdrVMQ8AvYGhwEbA\nXcBtwK82sN8/gGMASy6vyE48ERGR3Pn6az+789FHw/e/HzpNyxVMEWJmOwLDgUHOuVeS604B/m5m\npzvnFjWz+wrn3OJc5BSR0nT22dC7N4wfHzqJlJI//hE++wzOPz90kswU0umYPYHP6guQpKcBB/x4\nA/vuY2a1Zva2md1sZptnLaWIlKQvv/Tn5ZcuDZ1ESsXnn8OVV/rOqNtsEzpNZgqpCNkSqEtd4Zxb\nDSxJPtaUfwCjgX2BM4EhwBNmZs3sIyLSIueeC998U8sPfhClvLycaDRKXV3dhncUyUBtbS0HHRSl\nXbtyZs4s3Pda8NMxZjYROKuZTRywU6bP75ybmrL4ppm9DrwH7AP8K9PnFRFJtdVW0LNnJR9+WA1A\nTU0NsViMqqqqwMmkGFVWVjJ9un+vLVlSuO+14EUIcDVw5wa2qQEWAWWpK82sPbB58rG0OOfmm9kn\nQH82UISMHz+eTTbZZJ11I0eOZOTIkem+nIiUkA4dEussJxKJJrYUaZ2G761Q77UpU6YwZcqUddYt\nbcE5yeBFiHPuU+DTDW1nZtOBTc1s95R+IUPxV7y8lO7rmVkfYAtgg7+xSZMmMXDgwHSfWkRKXJ8+\nERYsqPluORKJBEwjxSwSiVBTE/691tgX89mzZzNo0KC09i+YPiHOubeBJ4H/M7MfmVkFcAMwJfXK\nmGTn018k73czsyvN7Mdmto2ZDQUeAeYln0tEpM3E43F++tMKNtqoH926VTB1ajx0JClS8XiciooK\n+vXrR0VFBfF4Yb7XgreEtNAo4Eb8VTFrgIeBcQ222R6oP4eyGtgN3zF1U+BjfPFxvnNuVS4Ci0jp\nKCsro7q6ipkz4fTToX370ImkWJWVlRVkH5CGCqoIcc59zgYGJnPOtU+5vxw4INu5RERSDR4M//43\n6Bo8keYVzOkYEZFCogJE2toll8DMmaFTtC0VISIiInnu+ef9qKivvx46SdtSESIiIpLHVq2CsWPh\nJz+BY48NnaZtFVSfEBERkVJzww0wdy68/DK0K7KmgyL7cURERIrHxx/DBRfAiSdCMQ5bpSJERCQH\nvvkG/vzn0Cmk0Jx2GnTpApdeGjpJdqgIERHJgUcegSOPhH9pxipJ07PPwoMPwlVXwaabhk6THSpC\nRERy4MgjoaICTjoJVq4MnUYKwTvvwNChMHp06CTZoyJERCQH2rWDm2+GefPg+utDp5FCcOKJMG1a\ncY85oyJERCRHdtsNTj4ZLroIFi4MnUYKQbFdDdNQkf94IiL55aKLoHt3OPXU0ElEwlMRIiKSQ5ts\nAldfDQ89BE89FTqNSFgqQkREcmzUKBgyBCZPDp1EJCyNmCoikmNm8PDDsNlmoZOIhKWWEBGRAHr2\nhPbtQ6eQfPHBB/Dqq6FT5J6KEBERkcB++1s49FD49tvQSXJLp2NEREQC+vvf4dFHYepU6FBin8pq\nCREREQlk2TLfCrLffnDYYaHT5F6J1VwiIiL548or4cMP4Yknintk1KaoJUREJE+sWAGLF4dOIbny\n3nswcSKcfjrssEPoNGGoJUREJE/8/OfQuTM8/nhpfisuJc750zC9e8O554ZOE45aQkRE8sTYsb6T\n4uOPh04i2TZ3Ljz5JFx3HXTrFjpNOCpCRETyxIgRMHy4/4b8zTeh00g27bwz/Pe//rLcUqYiREQk\nT5jBDTdAIuH7Ckhx2247nXZTESIikke23x7OPNNfNfHf/4ZOI5JdKkJERPLM738PvXvXMnhwlPLy\ncqLRKHV1daFjSSvU1tYSjer32ZCKEBGRPNO1K2y8cSWff15NTU0N1dXVxGKx0LGkFSorK6mu1u+z\nIRUhIiJ5aMWKxDrLiUSiiS2lEDT8/en36akIERHJQ5FIpNllKRxffw3du+v32RgNViYikofi8Tix\nWIxEIkEkEiEej4eOJBlwDsaMgQUL4vzkJzHq6vT7TKUiREQkD5WVlVFVVRU6hrTSH/8IU6bAn/9c\nxuGH6/fZkE7HiIiIZMHzz8Npp/nb4YeHTpOfVISIiIi0sY8/9oXHXnvBFVeETpO/VISIiBSQFSv8\nQGYrV4ZOIk1ZuRIOOww6dIA//9n/K41TESIiUkDeegsmTPBN/JKfTj0VZs2Cv/wFyspCp8lvKkJE\nRArI7rv7+WVuvBHuvTd0GmnIOYhE/O/oxz8OnSb/qZFIRKTAnHACvPSS/3fXXX1hIvnBDM49N3SK\nwqGWEBGRAmMGN93kp4OvrIQlS0InEsmMihARkQLUpQvE4/DFFzBqFKxeHTqRSMupCBERKVDbbOMH\nwnrqKbj88tBpRFpOfUJERArY/vvD7bf78ShECo2KEBGRAnfssaETlKYPPoCePaFr19BJCpdOx4iI\niLTQV1/BgQfCMceETlLY1BIiIiLSAs7B8cf7lpCHHw6dprCpCBEREWmBSZNg6lRfgOy0U+g0hU2n\nY0RERNL03HNw5pn+VlkZOk3hUxEiIlKknn4aFi4MnaJ4LFzoZ8YdMgQuuyx0muKgIkREpAitWAG/\n/rWfzXXFitBpCt+KFf5Ydu4MDz6omXHbiooQEZEi1KmT77fwyivwu9+FTlP4Pv8cOnb0M+P26hU6\nTfFQESIiUqQGD/az7d56K9x1V+g0ha13b3j+efjRj0InKS4qQkREitiYMTBqVC3HHRelT59yotEo\ndXV1oWMVhNraWqLRKOXl/rgtXqzj1tZUhIiIFLn58ytxrpqPPqqhurqaWCwWOlJBqKyspLq6mpoa\nHbdsUREiIlLkamsT6yx/+GGiiS0lVSKRaHZZWk9FiIhIkYtEIussb711pIktZfXqtfcbHreGy9J6\nKkJERIpcPB6noqKCfv36UVFRQTweDx0pL9XVwdCh8Kc/+WUdt+zTlc4iIkWurKyMqqqq0DHy2qxZ\nMGKEHw9kxx39Oh237FNLiIiIlLR77oGKCthyS1+M7L136ESlQ0WIiIgA8MknsGpV6BS5s2oVjBsH\nRx8No0b5cUD69AmdqrTodIyIiOAcHHqoH4586lQoKwudKLvq6vw8MNXVcNNNcOKJYBY6VelRS4iI\niGAGl18Oc+fCHnv40xLF7NVXYd48ePZZGDtWBUgoKkJERATwfSFmzfJ9IyoqfF+JYjVsGLz7Luy1\nV+gkpU1FiIiIfKdPH983YtQo31di3Lji7SfStWvoBKIiRERE1tG5M9xxh+8rcfPNsP/+vtOqSFtT\nESIiIusx830lnn0WNtoIunQJnUiKkYoQERFp0l57wbRp0K1b6CQtd++9UFMTOoU0R0WIiIi0SMMp\n7uvq8mOK+/pc/fqVs9VWUUaPrmPKlNCppDkaJ0RERFqkfop7gJqaGmKxWF4Mbz5iRCXTp1cnl2oo\nL49xzjnhc0nTCqolxMzOMbNqM/vazJa0YL+LzexjM/vGzJ4ys/7ZzFlKpuhrRlp0nNKj45Se0Mep\n4ZT2s2cnuPZaeOMNP+hZLn31FVxzDRxwAEyfvm6uL7/8r8b/SEPI91NBFSFAR2AqcEu6O5jZWcDJ\nwAnAYOBr4Ekz2ygrCUtM6P8MC4WOU3p0nNIT+jg1nNK+U6cI554LP/gBfO97/tLe+++H2trsZ+nY\nESZO9Pe33XbdXKuK9driNhby/VRQp2OccxcBmNnRLdhtHHCJc+5vyX1HA7XAofiCRkREWiAejxOL\nxUgkEkQiEeLxON27Q1UVPPWU78haP9DZ4MEwfTq0y/Ar7+rV0L5904936gSLFvnh5uvq1s3VrRB7\n05aYgipCWsrMtgO2BJ6pX+ec+8LMXgL2REWIiEiLNTXF/f77+9uVV/pWkKefhg8+aFkB4pw/rTNt\nmr+9/TbMn9/8c3To0HiuQw45JP0XliCKugjBFyAO3/KRqjb5mIiIZEHv3vDLX254u0WLatlnn0o+\n+yyBcxEgzuLFZXTp4oeRHzcOVq70A6hJ8QlehJjZROCsZjZxwE7OuXk5igTQGWDu3Lk5fMnCtHTp\nUmbPnh06Rt7TcUqPjlN6iuk4/fKXx/HOO3OSSzX06jWMW26ZzIAB/lQLwFtvZfbcxXScsqmtj1PK\nZ+cGS0dzue7K3DCA2RbAFhvYrMY5923KPkcDk5xzm2/gubcD3gN+6Jx7LWX9c8ArzrnxTew3Crg/\nvZ9AREREGvFL59wDzW0QvCXEOfcp8GmWnnu+mS0ChgKvAZhZD+DHwE3N7Pok8EvgfWB5NrKJiIgU\nqc7AtvjP0mYFL0Jawsy2BjYHtgHam9mA5EPvOue+Tm7zNnCWc+7R5GPXARPM7F18UXEJsBB4lCYk\nC6NmqzcRERFp0ovpbFRQRQhwMTA6Zbn+JNbPgOeT97cHNqnfwDl3pZl1BW4DNgVeAA50zq3MflwR\nERFpSvA+ISIiIlKaCm3EVBERESkSKkIaYWYnmdl8M1tmZjPM7EehM+UTM9vLzB4zs4/MbI2ZaUSg\nRpjZ781sppl9YWa1ZvZXM/t+6Fz5xsx+Y2ZzzGxp8vaimR0QOle+M7Ozk39/14bOkk/M7ILkcUm9\nZXiRb3Ezs63M7F4z+yQ5t9ocMxuYywwqQhowsyOAa4ALgN2BOfi5ZnoGDZZfugGvAmPx47hI4/YC\nbsBfjbUffu6jaWbWJWiq/PMhfqyggcAg4FngUTPbKWiqPJb8YnQC/v8nWd8bQG/8oJRbAtGwcfKP\nmW0KVAMrgOHATsBpwGc5zaE+IesysxnAS865ccllw/8n+Ufn3JVBw+UhM1sDHOqceyx0lnyXLGTr\ngL2dc5pfvBlm9ilwunPuztBZ8o2ZbQzMAk4EzsOPeXRq2FT5w8wuAH7hnMvpN/pCY2ZXAHs654aE\nzKGWkBRm1hH/TSx1rhkHPI2fa0akNTbFtxwtCR0kX5lZOzM7EugKTA+dJ0/dBDzunHs2dJA8tn3y\ndPF7ZnZfcngHWdfBwH/MbGrydPFsM/t1rkOoCFlXT6A9mmtG2liyRe06oMo5p/PTDZjZrmb2Jb5p\n+GZghHPu7cCx8k6yQPsh8PvQWfLYDOAY/CmG3wDbAc+bmabUXVc/fGvaO8Aw4Bbgj2Z2VC5DFNo4\nISKF6mZgZ6AidJA89TYwAD/Gz2HAPWa2twqRtcysD76Q3c85typ0nnzlnEsdpfMNM5sJLAAOB3R6\nb612wEzn3HnJ5Tlmtiu+cLs3lyFkrU+A1fgOTal6A4tyH0eKgZndCBwE7OOcS4TOk4+cc98652qc\nc684587Fd7gcFzpXnhkE9AJmm9kqM1sFDAHGmdnKZGubNOCcWwrMA/qHzpJnEkDDWVrnAn1zGUJF\nSIrkt4tZ+LlmgO+a0YeS5hC0IqmSBcgvgJ855z4InaeAtAM6hQ6RZ54GfoA/HTMgefsPcB8wwOkq\ng0YlO/L2x3/oylrVwA4N1u2AbzXKGZ2OWd+1wF1mNguYCYzHd5K7K2SofJI8t9ofqP/m1S85j88S\n59yH4ZLlFzO7GRgJHAJ8bWb1LWxLnXOaGDHJzC4H/gF8AHTHTx45BH+eWpKS82Ot05/IzL4GPnXO\nNfxGW7LM7CrgcfyH6feAi4BVwJSQufLQJKDazH4PTMUPJfBrYEwuQ6gIacA5NzV5KeXF+NMwrwLD\nnXOLwybLK3sA/8Jf6eHw46oA3A0cFypUHvoN/vg812D9scA9OU+Tv8rw750IsBQ/4/UwXf2RFrV+\nrK8PfgLSLYDFQBXwk+TEpJLknPuPmY0ArsBf6j0fGOecezCXOTROiIiIiAShPiEiIiIShIoQERER\nCUJFiIiIiAShIkRERESCUBEiIiIiQagIERERkSBUhIiIiEgQKkJEREQkCBUhIiIiEoSKEBEREQlC\nRYiIiIgEoSJEREREglARIiIFwcx6mlnCzM5OWfdTM1thZj8LmU1EMqNZdEWkYJjZgcAjwJ7APOBV\n4K/OuTOCBhORjKgIEZGCYmY3APsD/wF2BX7knFsVNpWIZEJFiIgUFDPrDLwB9AEGOufeChxJRDKk\nPiEiUmj6A1vh///aLnAWEWkFtYSISMEws47ATOAV4B1gPLCrc+6ToMFEJCMqQkSkYJjZVUAM2A34\nBngO+MI5d3DIXCKSGZ2OEZGCYGZDgN8Cv3LOfe38N6jRQNTM/jdsOhHJhFpCREREJAi1hIiIiEgQ\nKkJEREQkCBUhIiIiEoSKEBEREQlCRYiIiIgEoSJEREREglARIiIiIkGoCBEREZEgVISIiIhIECpC\nREREJAgVISIiIhKEihAREREJ4v8BoDBXeinUgOIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(xArr,yArr,\"b--\")\n", "plt.plot(xArr,yArr,\"k.\")\n", "plt.xlim([0,2*np.pi])\n", "ax = plt.gca()\n", "ax.set_title(\"Sine curve\", size = 14, weight = \"bold\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"sin(x)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many kinds of plot: plt.semilogy; plt.semilogx; plt.loglog..." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TYmYnEAqrygnFgqclJyHRsMFJhOKlN4FSQnPovsmFUWa2FaEga6y734uIiIjEJi+SkGRm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\nIxPZnIboiogUgH/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nngrJxyuvwH77wVVXQa9esPXWcUcnIpJ/ajNPiApTpSitWROmVT/o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\nFZECpCG6IkXKzI4BprP5HCGT3L13tE8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.loglog(xArr,xArr**2,\"b\")\n", "plt.xlim([0,2*np.pi])\n", "ax = plt.gca()\n", "ax.set_title(\"Quadratic on log log plot\", size = 14, weight = \"bold\")\n", "ax.set_xlabel(\"log(x)\")\n", "ax.set_ylabel(\"log($x^2$)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Points can be plotted with error bars." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CpEmkf4HeeivsuCMccgisvTZMngyPPlqz5Hkx2Gwzr9A6eTJ07erF0nbaCSZMUBIiIqLT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\nWvqQZ0b7KTPaT5nRfsqM9lNmYu6nFaI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xErrors = 0.03*np.ones(nPts)\n", "yErrors = 0.08*np.ones(nPts)\n", "plt.errorbar(xArr,yArr,xerr = xErrors,yerr=yErrors,)\n", "plt.xlim([0,2*np.pi])\n", "ax = plt.gca()\n", "ax.set_title(\"Sine curve\", size = 14, weight = \"bold\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"sin(x)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Various 3D plots can be made, which require importing more methods." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NOQzb3SNcS2/KIVKpFFKpFOrq6kx393CqpqBe4vQleEjiqoq8J4JkjfA0TNJYzlkgEOiy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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "t = np.linspace(0,5*np.pi,501)\n", "ax.plot(np.cos(t),np.sin(t),t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Figures containing multiplt plots can be created." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i+a8t0BJYEnd8CdAlyTU7E3oW1gInxu7xZ2BboBkXxZXmYMMGOOuskCRMnQqHHRZ1RNFL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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import random\n", "t = np.linspace(0,1,101)\n", "plt.figure() # opens a figure (which could be given a name)\n", "plt.subplot(2,2,1) #creates a 2 row, 2 column grid and starts in the first(top left with non-python index!) square.\n", "plt.hist(random(20))\n", "plt.subplot(2,2,2); plt.plot(t,t**2)\n", "plt.subplot(2,2,3); plt.plot(random(20),random(20),\"r*\")\n", "plt.subplot(2,2,4); plt.plot(t*np.cos(t),t*np.sin(t))\n", "plt.savefig(\"FigWithSubfigs.pdf\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }