1.OctaveTutorial.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Octave Tutorial"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Elementary operations:\n",
    "\n",
    "* __Arithmetic__ __operations__: Same as in Python, except ^ is exponentiation.  \n",
    "* __Comparision__ __operations__: Same as in Python, except ~ is not.  \n",
    "* __Logical__ __operations__: Same as in Java.  \n",
    "* __Bitwise__ __operations__: __xor(a, b)__ function is xor."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variables: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a =  3\n",
      "A =\n",
      "\n",
      "   1   2\n",
      "   3   4\n",
      "   5   6\n",
      "\n",
      "ans =\n",
      "\n",
      "   3   2\n",
      "\n",
      "v =\n",
      "\n",
      " Columns 1 through 8:\n",
      "\n",
      "    1.0000    1.1000    1.2000    1.3000    1.4000    1.5000    1.6000    1.7000\n",
      "\n",
      " Columns 9 through 11:\n",
      "\n",
      "    1.8000    1.9000    2.0000\n",
      "\n",
      "ans =  11\n",
      "O =\n",
      "\n",
      "   1   1   1\n",
      "   1   1   1\n",
      "\n",
      "Z =\n",
      "\n",
      "   0   0   0   0\n",
      "\n",
      "I =\n",
      "\n",
      "Diagonal Matrix\n",
      "\n",
      "   1   0   0\n",
      "   0   1   0\n",
      "   0   0   1\n",
      "\n",
      "R =\n",
      "\n",
      "   0.036042   0.203559   0.708789   0.171711\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"28.6,397.6 544.2,397.6 544.2,11.4 28.6,11.4 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,397.6 L36.4,397.6 M544.3,397.6 L536.5,397.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,400.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,333.2 L36.4,333.2 M544.3,333.2 L536.5,333.2  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,336.5)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">50</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,268.8 L36.4,268.8 M544.3,268.8 L536.5,268.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,272.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">100</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,204.4 L36.4,204.4 M544.3,204.4 L536.5,204.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,207.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">150</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,140.1 L36.4,140.1 M544.3,140.1 L536.5,140.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,143.4)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">200</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,75.7 L36.4,75.7 M544.3,75.7 L536.5,75.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,79.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">250</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,11.3 L36.4,11.3 M544.3,11.3 L536.5,11.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,14.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">300</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,397.6 L28.6,389.8 M28.6,11.3 L28.6,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(28.6,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-3</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M102.3,397.6 L102.3,389.8 M102.3,11.3 L102.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(102.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M175.9,397.6 L175.9,389.8 M175.9,11.3 L175.9,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(175.9,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M249.6,397.6 L249.6,389.8 M249.6,11.3 L249.6,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(249.6,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M323.3,397.6 L323.3,389.8 M323.3,11.3 L323.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(323.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M397.0,397.6 L397.0,389.8 M397.0,11.3 L397.0,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(397.0,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M470.6,397.6 L470.6,389.8 M470.6,11.3 L470.6,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(470.6,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M544.3,397.6 L544.3,389.8 M544.3,11.3 L544.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(544.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"38.4,397.6 38.4,382.1 86.1,382.1 86.1,397.6 38.4,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M38.4,397.6 L38.4,382.1 L86.1,382.1 L86.1,397.6 L38.4,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_2a\"><title>gnuplot_plot_2a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M38.4,397.6 L38.4,382.1 L86.1,382.1 L86.1,397.6 L38.4,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_3a\"><title>gnuplot_plot_3a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"86.1,397.6 86.1,347.4 133.8,347.4 133.8,397.6 86.1,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M86.1,397.6 L86.1,347.4 L133.8,347.4 L133.8,397.6 L86.1,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_4a\"><title>gnuplot_plot_4a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M86.1,397.6 L86.1,347.4 L133.8,347.4 L133.8,397.6 L86.1,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_5a\"><title>gnuplot_plot_5a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"133.8,397.6 133.8,226.3 181.5,226.3 181.5,397.6 133.8,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M133.8,397.6 L133.8,226.3 L181.5,226.3 L181.5,397.6 L133.8,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_6a\"><title>gnuplot_plot_6a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M133.8,397.6 L133.8,226.3 L181.5,226.3 L181.5,397.6 L133.8,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_7a\"><title>gnuplot_plot_7a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"181.5,397.6 181.5,106.6 229.2,106.6 229.2,397.6 181.5,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M181.5,397.6 L181.5,106.6 L229.2,106.6 L229.2,397.6 L181.5,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_8a\"><title>gnuplot_plot_8a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M181.5,397.6 L181.5,106.6 L229.2,106.6 L229.2,397.6 L181.5,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_9a\"><title>gnuplot_plot_9a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"229.2,397.6 229.2,70.5 277.0,70.5 277.0,397.6 229.2,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M229.2,397.6 L229.2,70.5 L277.0,70.5 L277.0,397.6 L229.2,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_10a\"><title>gnuplot_plot_10a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M229.2,397.6 L229.2,70.5 L277.0,70.5 L277.0,397.6 L229.2,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_11a\"><title>gnuplot_plot_11a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"277.0,397.6 277.0,138.8 324.7,138.8 324.7,397.6 277.0,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M277.0,397.6 L277.0,138.8 L324.7,138.8 L324.7,397.6 L277.0,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_12a\"><title>gnuplot_plot_12a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M277.0,397.6 L277.0,138.8 L324.7,138.8 L324.7,397.6 L277.0,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_13a\"><title>gnuplot_plot_13a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"324.7,397.6 324.7,267.5 372.4,267.5 372.4,397.6 324.7,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M324.7,397.6 L324.7,267.5 L372.4,267.5 L372.4,397.6 L324.7,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_14a\"><title>gnuplot_plot_14a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M324.7,397.6 L324.7,267.5 L372.4,267.5 L372.4,397.6 L324.7,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_15a\"><title>gnuplot_plot_15a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"372.4,397.6 372.4,359.0 420.1,359.0 420.1,397.6 372.4,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M372.4,397.6 L372.4,359.0 L420.1,359.0 L420.1,397.6 L372.4,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_16a\"><title>gnuplot_plot_16a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M372.4,397.6 L372.4,359.0 L420.1,359.0 L420.1,397.6 L372.4,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_17a\"><title>gnuplot_plot_17a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"420.1,397.6 420.1,393.7 467.8,393.7 467.8,397.6 420.1,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M420.1,397.6 L420.1,393.7 L467.8,393.7 L467.8,397.6 L420.1,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_18a\"><title>gnuplot_plot_18a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M420.1,397.6 L420.1,393.7 L467.8,393.7 L467.8,397.6 L420.1,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_19a\"><title>gnuplot_plot_19a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb( 68,   1,  84)\" points=\"467.8,397.6 467.8,396.3 515.5,396.3 515.5,397.6 467.8,397.6 \"/>\n",
       "\t</g>\n",
       "\t<path d=\"M467.8,397.6 L467.8,396.3 L515.5,396.3 L515.5,397.6 L467.8,397.6  \" stroke=\"rgb( 68,   1,  84)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_20a\"><title>gnuplot_plot_20a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb( 68,   1,  84)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M467.8,397.6 L467.8,396.3 L515.5,396.3 L515.5,397.6 L467.8,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_21a\"><title>gnuplot_plot_21a</title>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M28.6,397.6 L544.3,397.6  \" stroke=\"rgb(  0,   0,   0)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M28.6,397.6 L544.3,397.6 M28.6,11.3 L544.3,11.3 M28.6,397.6 L28.6,11.3 M544.3,397.6 L544.3,11.3    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 3\n",
    "\n",
    "A = [1, 2; 3 4; 5 6] % creates a 3 x 2 matrix.\n",
    "\n",
    "size(A) % dimension of A\n",
    "\n",
    "v = 1:0.1:2 % creates a list of elements that starts from 1 and goes to 2 with step 0.1.\n",
    "\n",
    "length(v) % size of the longest dimension of v\n",
    "\n",
    "O = ones(2, 3) % creates a 2 x 3 matrix of ones\n",
    "\n",
    "Z = zeros(1, 4)\n",
    "\n",
    "I = eye(3) % creates a 3 x 3 identity matrix\n",
    "\n",
    "R = rand(1, 4)\n",
    "\n",
    "R = randn(1, 1000); % mean 0, stdev = 1\n",
    "\n",
    "hist(R) % will display the distribution of R\n",
    "\n",
    "% adding ; after an operation means the result will not be printed "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### IO:\n",
    "__Output__: using __disp__ or __disp(sprintf)__ (C like).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    1    2    3    4    5    6    7    8    9   10\n",
      "3.14\n"
     ]
    }
   ],
   "source": [
    "disp(1:1:10);\n",
    "disp(sprintf(\"%.2f\", pi));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Loading data:__ using __load('file_name')__. This creates a variable having the name of the file (without the extension).  \n",
    "This can be seen by typing __who__."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variables in the current scope:\n",
      "\n",
      "A    I    O    R    Z    a    ans  v\n",
      "\n",
      "Variables in the current scope:\n",
      "\n",
      "   Attr Name        Size                     Bytes  Class\n",
      "   ==== ====        ====                     =====  ===== \n",
      "        A           3x2                         48  double\n",
      "        I           3x3                         24  double\n",
      "        O           2x3                         48  double\n",
      "        R           1x1000                    8000  double\n",
      "        Z           1x4                         32  double\n",
      "        a           1x1                          8  double\n",
      "        ans         1x1                          8  double\n",
      "        v           1x11                        24  double\n",
      "\n",
      "Total is 1038 elements using 8192 bytes\n",
      "\n"
     ]
    }
   ],
   "source": [
    "who\n",
    "whos\n",
    "% clear variable_name"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Storing data__: using __save filename variable;__. Stores in binary format."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "save store_example.txt A;\n",
    "save store_example2.txt A -ascii;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Manipulating data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A =\n",
      "\n",
      "   1   2\n",
      "   3   4\n",
      "   5   6\n",
      "\n",
      "a32 =  6\n",
      "a_row_3 =\n",
      "\n",
      "   5   6\n",
      "\n",
      "a_col_2 =\n",
      "\n",
      "   2\n",
      "   4\n",
      "   6\n",
      "\n",
      "ans =\n",
      "\n",
      "   1   2\n",
      "   5   6\n",
      "\n",
      "A =\n",
      "\n",
      "   1   2\n",
      "   2   4\n",
      "   3   6\n",
      "\n",
      "A =\n",
      "\n",
      "   1   2   4\n",
      "   2   4   5\n",
      "   3   6   6\n",
      "\n",
      "ans =\n",
      "\n",
      "   1\n",
      "   2\n",
      "   3\n",
      "   2\n",
      "   4\n",
      "   6\n",
      "   4\n",
      "   5\n",
      "   6\n",
      "\n",
      "C =\n",
      "\n",
      "    1    2    4   24   12\n",
      "    2    4    5   64    2\n",
      "    3    6    6   33    6\n",
      "\n",
      "C =\n",
      "\n",
      "    1    2\n",
      "    2    4\n",
      "    3    6\n",
      "   24   12\n",
      "   64    2\n",
      "   33    6\n",
      "\n"
     ]
    }
   ],
   "source": [
    "A = [1, 2; 3 4; 5 6]\n",
    "\n",
    "a32 = A(3, 2) % getting an element\n",
    "\n",
    "a_row_3 = A(3, :) % getting a row\n",
    "\n",
    "a_col_2 = A(:, 2) % getting a column\n",
    "\n",
    "A([1 3], :) % get all elements on row 1 and 3\n",
    "\n",
    "A(:, 1) = [1;2;3] % change first column\n",
    "\n",
    "A = [A, [4; 5; 6]] % append a column to the right\n",
    "\n",
    "A(:) % creates a vector of all the elements in A\n",
    "\n",
    "B = [24 12; 64 2; 33 6];\n",
    "C = [A B] % concatenate A and B into a new matrix\n",
    "C = [A(:, 1:2); B]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Computing on data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = [1 2; 3 4; 5 6];\n",
    "B = [11 12; 13 14; 15 16];\n",
    "C = [1 1; 2 2];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ans =\n",
      "\n",
      "    5    5\n",
      "   11   11\n",
      "   17   17\n",
      "\n",
      "ans =\n",
      "\n",
      "   11   24\n",
      "   39   56\n",
      "   75   96\n",
      "\n",
      "ans =\n",
      "\n",
      "    1    4\n",
      "    9   16\n",
      "   25   36\n",
      "\n"
     ]
    }
   ],
   "source": [
    "A * C % matrix multiplication\n",
    "A .* B % element multiplication\n",
    "A .^ 2 % element wise squaring of A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "v = [1; 2; 3];\n",
    "\n",
    "1 ./ v % element wise reciprocal of v\n",
    "log(v)\n",
    "exp(v)\n",
    "abs(v)\n",
    "-v % -1 * v\n",
    "v + ones(3, 1)\n",
    "v' % transpose of v\n",
    "max(v) % maximum element on each column\n",
    "[val, index] = min(v)\n",
    "v < 1 % element wise comparison\n",
    "find(v > 1) % returns the elements bigger that 1\n",
    "sum(v)\n",
    "prod(v)\n",
    "floor(v)\n",
    "ceil(v)\n",
    "\n",
    "magic(3) % returns a 3 x 3 magic square"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"45.0,384.2 544.2,384.2 544.2,39.1 45.0,39.1 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,384.2 L52.8,384.2 M544.3,384.2 L536.5,384.2  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(39.8,387.5)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,297.9 L52.8,297.9 M544.3,297.9 L536.5,297.9  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(39.8,301.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,211.6 L52.8,211.6 M544.3,211.6 L536.5,211.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(39.8,214.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,125.3 L52.8,125.3 M544.3,125.3 L536.5,125.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(39.8,128.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,39.0 L52.8,39.0 M544.3,39.0 L536.5,39.0  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(39.8,42.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M45.0,384.2 L45.0,376.4 M45.0,39.0 L45.0,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(45.0,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M144.9,384.2 L144.9,376.4 M144.9,39.0 L144.9,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(144.9,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M244.7,384.2 L244.7,376.4 M244.7,39.0 L244.7,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(244.7,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M344.6,384.2 L344.6,376.4 M344.6,39.0 L344.6,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(344.6,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M444.4,384.2 L444.4,376.4 M444.4,39.0 L444.4,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(444.4,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M544.3,384.2 L544.3,376.4 M544.3,39.0 L544.3,46.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(544.3,398.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"11.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(11.3,211.6) rotate(-90)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">value</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"11.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(294.6,415.8)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">time</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g fill=\"rgb(0,0,0)\" font-family=\":Bold\" font-size=\"11.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(294.6,20.5)\">\n",
       "\t\t<text><tspan font-family=\"\" font-weight=\"bold\">very interesting plot :D</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M476.8,74.8 L476.8,44.6 L539.1,44.6 L539.1,74.8 L476.8,74.8 Z  \" stroke=\"black\"/></g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>sin</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<g fill=\"rgb(0,0,0)\" font-family=\"Arial\" font-size=\"9.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(520.2,55.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">sin</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M483.1,52.2 L513.9,52.2 M45.0,211.6 L50.0,168.7 L55.0,128.4 L60.0,93.4 L65.0,65.9 L70.0,47.4   L75.0,39.3 L80.0,42.1 L84.9,55.4 L89.9,78.6 L94.9,110.1 L99.9,148.1 L104.9,190.0 L109.9,233.2   L114.9,275.1 L119.9,313.1 L124.9,344.6 L129.9,367.8 L134.9,381.1 L139.9,383.9 L144.9,375.8 L149.9,357.3   L154.8,329.8 L159.8,294.8 L164.8,254.5 L169.8,211.6 L174.8,168.7 L179.8,128.4 L184.8,93.4 L189.8,65.9   L194.8,47.4 L199.8,39.3 L204.8,42.1 L209.8,55.4 L214.8,78.6 L219.8,110.1 L224.7,148.1 L229.7,190.0   L234.7,233.2 L239.7,275.1 L244.7,313.1 L249.7,344.6 L254.7,367.8 L259.7,381.1 L264.7,383.9 L269.7,375.8   L274.7,357.3 L279.7,329.8 L284.7,294.8 L289.7,254.5 L294.7,211.6 L299.6,168.7 L304.6,128.4 L309.6,93.4   L314.6,65.9 L319.6,47.4 L324.6,39.3 L329.6,42.1 L334.6,55.4 L339.6,78.6 L344.6,110.1 L349.6,148.1   L354.6,190.0 L359.6,233.2 L364.6,275.1 L369.5,313.1 L374.5,344.6 L379.5,367.8 L384.5,381.1 L389.5,383.9   L394.5,375.8 L399.5,357.3 L404.5,329.8 L409.5,294.8 L414.5,254.5 L419.5,211.6 L424.5,168.7 L429.5,128.4   L434.5,93.4 L439.4,65.9 L444.4,47.4 L449.4,39.3 L454.4,42.1 L459.4,55.4 L464.4,78.6 L469.4,110.1   L474.4,148.1 L479.4,190.0 L484.4,233.2 L489.4,275.1 L494.4,313.1 L499.4,344.6 L504.4,367.8 L509.3,381.1   L514.3,383.9 L519.3,375.8 L524.3,357.3 L529.3,329.8 L534.3,294.8  \" stroke=\"rgb(  0, 114, 189)\"/>\t<use color=\"rgb(  0, 114, 189)\" x=\"498.5\" xlink:href=\"#gpDot\" y=\"52.2\"/>\n",
       "\n",
       "</g>\n",
       "\t</g>\n",
       "\t<g id=\"gnuplot_plot_2a\"><title>cos</title>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<g fill=\"rgb(0,0,0)\" font-family=\"Arial\" font-size=\"9.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(520.2,70.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">cos</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M483.1,67.3 L513.9,67.3 M45.0,39.0 L50.0,44.4 L55.0,60.3 L60.0,85.8 L65.0,119.1 L70.0,158.3   L75.0,200.8 L80.0,243.9 L84.9,285.1 L89.9,321.6 L94.9,351.2 L99.9,372.1 L104.9,382.8 L109.9,382.8   L114.9,372.1 L119.9,351.2 L124.9,321.6 L129.9,285.1 L134.9,243.9 L139.9,200.8 L144.9,158.3 L149.9,119.1   L154.8,85.8 L159.8,60.3 L164.8,44.4 L169.8,39.0 L174.8,44.4 L179.8,60.3 L184.8,85.8 L189.8,119.1   L194.8,158.3 L199.8,200.8 L204.8,243.9 L209.8,285.1 L214.8,321.6 L219.8,351.2 L224.7,372.1 L229.7,382.8   L234.7,382.8 L239.7,372.1 L244.7,351.2 L249.7,321.6 L254.7,285.1 L259.7,243.9 L264.7,200.8 L269.7,158.3   L274.7,119.1 L279.7,85.8 L284.7,60.3 L289.7,44.4 L294.7,39.0 L299.6,44.4 L304.6,60.3 L309.6,85.8   L314.6,119.1 L319.6,158.3 L324.6,200.8 L329.6,243.9 L334.6,285.1 L339.6,321.6 L344.6,351.2 L349.6,372.1   L354.6,382.8 L359.6,382.8 L364.6,372.1 L369.5,351.2 L374.5,321.6 L379.5,285.1 L384.5,243.9 L389.5,200.8   L394.5,158.3 L399.5,119.1 L404.5,85.8 L409.5,60.3 L414.5,44.4 L419.5,39.0 L424.5,44.4 L429.5,60.3   L434.5,85.8 L439.4,119.1 L444.4,158.3 L449.4,200.8 L454.4,243.9 L459.4,285.1 L464.4,321.6 L469.4,351.2   L474.4,372.1 L479.4,382.8 L484.4,382.8 L489.4,372.1 L494.4,351.2 L499.4,321.6 L504.4,285.1 L509.3,243.9   L514.3,200.8 L519.3,158.3 L524.3,119.1 L529.3,85.8 L534.3,60.3  \" stroke=\"rgb(255,   0,   0)\"/>\t<use color=\"rgb(255,   0,   0)\" x=\"498.5\" xlink:href=\"#gpDot\" y=\"67.3\"/>\n",
       "\n",
       "</g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(255,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M45.0,384.2 L544.3,384.2 M45.0,39.0 L544.3,39.0 M45.0,384.2 L45.0,39.0 M544.3,384.2 L544.3,39.0    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = [0:0.01:0.98]; % row vector\n",
    "\n",
    "y1 = sin(2 * pi * 4 * t);\n",
    "y2 = cos(2 * pi * 4 * t);\n",
    "\n",
    "plot(t, y1); % t - x axis; y1 - y axis\n",
    "hold on; % will plot both graphs on the same figure\n",
    "plot(t, y2, 'r'); % red color\n",
    "xlabel('time');\n",
    "ylabel('value');\n",
    "legend('sin', 'cos');\n",
    "title('very interesting plot :D');\n",
    "% print -dpng 'my_plot.png' % to save the figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"33.8,397.6 544.2,397.6 544.2,11.4 33.8,11.4 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,397.6 L41.6,397.6 M544.3,397.6 L536.5,397.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,400.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,301.0 L41.6,301.0 M544.3,301.0 L536.5,301.0  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,304.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,204.4 L41.6,204.4 M544.3,204.4 L536.5,204.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,207.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,107.9 L41.6,107.9 M544.3,107.9 L536.5,107.9  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,111.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,11.3 L41.6,11.3 M544.3,11.3 L536.5,11.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,14.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,397.6 L33.8,389.8 M33.8,11.3 L33.8,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(33.8,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M135.9,397.6 L135.9,389.8 M135.9,11.3 L135.9,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(135.9,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M238.0,397.6 L238.0,389.8 M238.0,11.3 L238.0,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(238.0,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M340.1,397.6 L340.1,389.8 M340.1,11.3 L340.1,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(340.1,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M442.2,397.6 L442.2,389.8 M442.2,11.3 L442.2,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(442.2,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M544.3,397.6 L544.3,389.8 M544.3,11.3 L544.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(544.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M33.8,204.4 L38.9,156.4 L44.0,111.4 L49.1,72.2 L54.2,41.4 L59.3,20.8 L64.4,11.7 L69.5,14.7   L74.6,29.7 L79.7,55.6 L84.9,90.9 L90.0,133.3 L95.1,180.2 L100.2,228.7 L105.3,275.6 L110.4,318.0   L115.5,353.3 L120.6,379.2 L125.7,394.2 L130.8,397.2 L135.9,388.1 L141.0,367.5 L146.1,336.7 L151.2,297.5   L156.3,252.5 L161.4,204.5 L166.5,156.4 L171.6,111.4 L176.7,72.2 L181.8,41.4 L187.0,20.8 L192.1,11.7   L197.2,14.7 L202.3,29.7 L207.4,55.6 L212.5,90.9 L217.6,133.3 L222.7,180.2 L227.8,228.7 L232.9,275.6   L238.0,318.0 L243.1,353.3 L248.2,379.2 L253.3,394.2 L258.4,397.2 L263.5,388.1 L268.6,367.5 L273.7,336.7   L278.8,297.5 L283.9,252.5 L289.1,204.5 L294.2,156.4 L299.3,111.4 L304.4,72.2 L309.5,41.4 L314.6,20.8   L319.7,11.7 L324.8,14.7 L329.9,29.7 L335.0,55.6 L340.1,90.9 L345.2,133.3 L350.3,180.2 L355.4,228.7   L360.5,275.6 L365.6,318.0 L370.7,353.3 L375.8,379.2 L380.9,394.2 L386.0,397.2 L391.2,388.1 L396.3,367.5   L401.4,336.7 L406.5,297.5 L411.6,252.5 L416.7,204.5 L421.8,156.4 L426.9,111.4 L432.0,72.2 L437.1,41.4   L442.2,20.8 L447.3,11.7 L452.4,14.7 L457.5,29.7 L462.6,55.6 L467.7,90.9 L472.8,133.3 L477.9,180.2   L483.0,228.7 L488.1,275.6 L493.3,318.0 L498.4,353.3 L503.5,379.2 L508.6,394.2 L513.7,397.2 L518.8,388.1   L523.9,367.5 L529.0,336.7 L534.1,297.5  \" stroke=\"rgb(  0, 114, 189)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0, 114, 189)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M33.8,397.6 L544.3,397.6 M33.8,11.3 L544.3,11.3 M33.8,397.6 L33.8,11.3 M544.3,397.6 L544.3,11.3    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"33.8,397.6 544.2,397.6 544.2,11.4 33.8,11.4 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,397.6 L41.6,397.6 M544.3,397.6 L536.5,397.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,400.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,301.0 L41.6,301.0 M544.3,301.0 L536.5,301.0  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,304.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,204.4 L41.6,204.4 M544.3,204.4 L536.5,204.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,207.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,107.9 L41.6,107.9 M544.3,107.9 L536.5,107.9  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,111.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,11.3 L41.6,11.3 M544.3,11.3 L536.5,11.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(28.6,14.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M33.8,397.6 L33.8,389.8 M33.8,11.3 L33.8,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(33.8,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M135.9,397.6 L135.9,389.8 M135.9,11.3 L135.9,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(135.9,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M238.0,397.6 L238.0,389.8 M238.0,11.3 L238.0,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(238.0,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M340.1,397.6 L340.1,389.8 M340.1,11.3 L340.1,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(340.1,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M442.2,397.6 L442.2,389.8 M442.2,11.3 L442.2,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(442.2,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M544.3,397.6 L544.3,389.8 M544.3,11.3 L544.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(544.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M33.8,11.3 L38.9,17.4 L44.0,35.2 L49.1,63.6 L54.2,101.0 L59.3,144.8 L64.4,192.3 L69.5,240.6   L74.6,286.7 L79.7,327.6 L84.9,360.7 L90.0,384.0 L95.1,396.1 L100.2,396.1 L105.3,384.0 L110.4,360.7   L115.5,327.6 L120.6,286.7 L125.7,240.6 L130.8,192.3 L135.9,144.8 L141.0,101.0 L146.1,63.6 L151.2,35.2   L156.3,17.4 L161.4,11.3 L166.5,17.4 L171.6,35.2 L176.7,63.6 L181.8,101.0 L187.0,144.8 L192.1,192.3   L197.2,240.6 L202.3,286.7 L207.4,327.6 L212.5,360.7 L217.6,384.0 L222.7,396.1 L227.8,396.1 L232.9,384.0   L238.0,360.7 L243.1,327.6 L248.2,286.7 L253.3,240.6 L258.4,192.3 L263.5,144.8 L268.6,101.0 L273.7,63.6   L278.8,35.2 L283.9,17.4 L289.1,11.3 L294.2,17.4 L299.3,35.2 L304.4,63.6 L309.5,101.0 L314.6,144.8   L319.7,192.3 L324.8,240.6 L329.9,286.7 L335.0,327.6 L340.1,360.7 L345.2,384.0 L350.3,396.1 L355.4,396.1   L360.5,384.0 L365.6,360.7 L370.7,327.6 L375.8,286.7 L380.9,240.6 L386.0,192.3 L391.2,144.8 L396.3,101.0   L401.4,63.6 L406.5,35.2 L411.6,17.4 L416.7,11.3 L421.8,17.4 L426.9,35.2 L432.0,63.6 L437.1,101.0   L442.2,144.8 L447.3,192.3 L452.4,240.6 L457.5,286.7 L462.6,327.6 L467.7,360.7 L472.8,384.0 L477.9,396.1   L483.0,396.1 L488.1,384.0 L493.3,360.7 L498.4,327.6 L503.5,286.7 L508.6,240.6 L513.7,192.3 L518.8,144.8   L523.9,101.0 L529.0,63.6 L534.1,35.2  \" stroke=\"rgb(  0, 114, 189)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0, 114, 189)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M33.8,397.6 L544.3,397.6 M33.8,11.3 L544.3,11.3 M33.8,397.6 L33.8,11.3 M544.3,397.6 L544.3,11.3    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "% displaying to graphs in different figures\n",
    "figure(1); plot(t, y1);\n",
    "figure(2); plot(t, y2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"72.8,373.8 252.1,373.8 252.1,31.7 72.8,31.7 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,373.8 L80.6,373.8 M252.2,373.8 L244.4,373.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,377.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,288.2 L80.6,288.2 M252.2,288.2 L244.4,288.2  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,291.5)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,202.7 L80.6,202.7 M252.2,202.7 L244.4,202.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,206.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,117.1 L80.6,117.1 M252.2,117.1 L244.4,117.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,120.4)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,31.6 L80.6,31.6 M252.2,31.6 L244.4,31.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,34.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,373.8 L72.8,366.0 M72.8,31.6 L72.8,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(72.8,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M108.7,373.8 L108.7,366.0 M108.7,31.6 L108.7,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(108.7,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M144.6,373.8 L144.6,366.0 M144.6,31.6 L144.6,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(144.6,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M180.4,373.8 L180.4,366.0 M180.4,31.6 L180.4,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(180.4,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M216.3,373.8 L216.3,366.0 M216.3,31.6 L216.3,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(216.3,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M252.2,373.8 L252.2,366.0 M252.2,31.6 L252.2,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(252.2,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M72.8,202.7 L74.6,160.1 L76.4,120.3 L78.2,85.6 L80.0,58.2 L81.8,40.0 L83.6,31.9 L85.4,34.6   L87.2,47.9 L88.9,70.9 L90.7,102.1 L92.5,139.7 L94.3,181.3 L96.1,224.1 L97.9,265.7 L99.7,303.3   L101.5,334.5 L103.3,357.5 L105.1,370.8 L106.9,373.5 L108.7,365.4 L110.5,347.2 L112.3,319.8 L114.1,285.1   L115.9,245.3 L117.7,202.7 L119.4,160.1 L121.2,120.3 L123.0,85.6 L124.8,58.2 L126.6,40.0 L128.4,31.9   L130.2,34.6 L132.0,47.9 L133.8,70.9 L135.6,102.1 L137.4,139.7 L139.2,181.3 L141.0,224.1 L142.8,265.7   L144.6,303.3 L146.4,334.5 L148.1,357.5 L149.9,370.8 L151.7,373.5 L153.5,365.4 L155.3,347.2 L157.1,319.8   L158.9,285.1 L160.7,245.3 L162.5,202.7 L164.3,160.1 L166.1,120.3 L167.9,85.6 L169.7,58.2 L171.5,40.0   L173.3,31.9 L175.1,34.6 L176.9,47.9 L178.6,70.9 L180.4,102.1 L182.2,139.7 L184.0,181.3 L185.8,224.1   L187.6,265.7 L189.4,303.3 L191.2,334.5 L193.0,357.5 L194.8,370.8 L196.6,373.5 L198.4,365.4 L200.2,347.2   L202.0,319.8 L203.8,285.1 L205.6,245.3 L207.4,202.7 L209.1,160.1 L210.9,120.3 L212.7,85.6 L214.5,58.2   L216.3,40.0 L218.1,31.9 L219.9,34.6 L221.7,47.9 L223.5,70.9 L225.3,102.1 L227.1,139.7 L228.9,181.3   L230.7,224.1 L232.5,265.7 L234.3,303.3 L236.1,334.5 L237.8,357.5 L239.6,370.8 L241.4,373.5 L243.2,365.4   L245.0,347.2 L246.8,319.8 L248.6,285.1  \" stroke=\"rgb(  0, 114, 189)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0, 114, 189)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M72.8,373.8 L252.2,373.8 M72.8,31.6 L252.2,31.6 M72.8,373.8 L72.8,31.6 M252.2,373.8 L252.2,31.6    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"327.2,373.8 506.6,373.8 506.6,31.7 327.2,31.7 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,373.8 L335.0,373.8 M506.7,373.8 L498.9,373.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,377.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,331.0 L335.0,331.0 M506.7,331.0 L498.9,331.0  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,334.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,288.2 L335.0,288.2 M506.7,288.2 L498.9,288.2  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,291.5)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,245.5 L335.0,245.5 M506.7,245.5 L498.9,245.5  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,248.8)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">-0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,202.7 L335.0,202.7 M506.7,202.7 L498.9,202.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,206.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,159.9 L335.0,159.9 M506.7,159.9 L498.9,159.9  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,163.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,117.1 L335.0,117.1 M506.7,117.1 L498.9,117.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,120.4)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,74.4 L335.0,74.4 M506.7,74.4 L498.9,74.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,77.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,31.6 L335.0,31.6 M506.7,31.6 L498.9,31.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(322.0,34.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M327.2,373.8 L327.2,366.0 M327.2,31.6 L327.2,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(327.2,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M363.1,373.8 L363.1,366.0 M363.1,31.6 L363.1,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(363.1,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M399.0,373.8 L399.0,366.0 M399.0,31.6 L399.0,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(399.0,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.7</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M434.9,373.8 L434.9,366.0 M434.9,31.6 L434.9,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(434.9,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M470.8,373.8 L470.8,366.0 M470.8,31.6 L470.8,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(470.8,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.9</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M506.7,373.8 L506.7,366.0 M506.7,31.6 L506.7,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(506.7,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1b\"><title>gnuplot_plot_1b</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M327.2,117.1 L330.8,119.8 L334.4,127.7 L338.0,140.3 L341.6,156.9 L345.2,176.3 L348.7,197.3 L352.3,218.7   L355.9,239.1 L359.5,257.2 L363.1,271.9 L366.7,282.2 L370.3,287.6 L373.9,287.6 L377.5,282.2 L381.1,271.9   L384.6,257.2 L388.2,239.1 L391.8,218.7 L395.4,197.3 L399.0,176.3 L402.6,156.9 L406.2,140.3 L409.8,127.7   L413.4,119.8 L417.0,117.1 L420.5,119.8 L424.1,127.7 L427.7,140.3 L431.3,156.9 L434.9,176.3 L438.5,197.3   L442.1,218.7 L445.7,239.1 L449.3,257.2 L452.9,271.9 L456.4,282.2 L460.0,287.6 L463.6,287.6 L467.2,282.2   L470.8,271.9 L474.4,257.2 L478.0,239.1 L481.6,218.7 L485.2,197.3 L488.8,176.3 L492.3,156.9 L495.9,140.3   L499.5,127.7  \" stroke=\"rgb(  0, 114, 189)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0, 114, 189)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M327.2,373.8 L506.7,373.8 M327.2,31.6 L506.7,31.6 M327.2,373.8 L327.2,31.6 M506.7,373.8 L506.7,31.6    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "% displaying to graphs in the same window\n",
    "subplot(1, 2, 1); % divides the plot into 1 x 2 grid, and accesses the first element\n",
    "plot(t, y1);\n",
    "subplot(1, 2, 2);\n",
    "plot(t, y2);\n",
    "axis([0.5 1 -2 2]) % changes x axis range to 0.5 to 1, and y axis to -2 to 2\n",
    "% clf; % clear figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "<image height=\"342.2\" preserveAspectRatio=\"none\" width=\"347.1\" x=\"72.8\" xlink:href=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAMAAAADCAIAAADZSiLoAAAABmJLR0QA/wD/AP+gvaeTAAAAJ0lEQVQImWPccldngorGs/XazA+elj7MkLXTusX0SZH5bujMJ0myANH/DYYWTfr5AAAAAElFTkSuQmCC\" y=\"31.6\"/>\n",
       "</g>\n",
       "\t</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,31.6 L80.6,31.6 M419.9,31.6 L412.1,31.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,34.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,88.6 L80.6,88.6 M419.9,88.6 L412.1,88.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,91.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,145.7 L80.6,145.7 M419.9,145.7 L412.1,145.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,149.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,202.7 L80.6,202.7 M419.9,202.7 L412.1,202.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,206.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,259.7 L80.6,259.7 M419.9,259.7 L412.1,259.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,263.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,316.8 L80.6,316.8 M419.9,316.8 L412.1,316.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,320.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,373.8 L80.6,373.8 M419.9,373.8 L412.1,373.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(67.6,377.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M72.8,373.8 L72.8,366.0 M72.8,31.6 L72.8,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(72.8,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M130.7,373.8 L130.7,366.0 M130.7,31.6 L130.7,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(130.7,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M188.5,373.8 L188.5,366.0 M188.5,31.6 L188.5,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(188.5,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M246.4,373.8 L246.4,366.0 M246.4,31.6 L246.4,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(246.4,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M304.2,373.8 L304.2,366.0 M304.2,31.6 L304.2,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(304.2,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M362.1,373.8 L362.1,366.0 M362.1,31.6 L362.1,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(362.1,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M419.9,373.8 L419.9,366.0 M419.9,31.6 L419.9,39.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(419.9,388.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3.5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M72.8,373.8 L419.9,373.8 M72.8,31.6 L419.9,31.6 M72.8,373.8 L72.8,31.6 M419.9,373.8 L419.9,31.6    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1b\"><title>gnuplot_plot_1b</title>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "<image height=\"342.2\" preserveAspectRatio=\"none\" width=\"25.9\" x=\"463.4\" xlink:href=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAIAAABACAIAAAC/RDEUAAAABmJLR0QA/wD/AP+gvaeTAAAAlUlEQVQYlW2L2xGDMBDEZFhwJem/rFTAy76z83EhA0y+NNLOJn+/AK39ALQ2C2uAlj5EnMJmQEvLYTm2fImrzxEDni/3LbbNJ0D7CQHaTYCOsBJWfARUbQRkNgDyiC2sWQJEGP61BCjdMBiAkt8s8DD/sz0P/brVfov9T6wNUAr8zG8wQJyogCgGqNcSVgH1UgC1UoAP0zZ0l4QiZEYAAAAASUVORK5CYII=\" y=\"31.6\"/>\n",
       "</g>\n",
       "\t</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,373.8 L481.5,373.8 M463.4,373.8 L471.2,373.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,377.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">1</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,331.0 L481.5,331.0 M463.4,331.0 L471.2,331.0  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,334.3)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,288.2 L481.5,288.2 M463.4,288.2 L471.2,288.2  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,291.5)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">3</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,245.5 L481.5,245.5 M463.4,245.5 L471.2,245.5  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,248.8)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,202.7 L481.5,202.7 M463.4,202.7 L471.2,202.7  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,206.0)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">5</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,159.9 L481.5,159.9 M463.4,159.9 L471.2,159.9  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,163.2)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,117.1 L481.5,117.1 M463.4,117.1 L471.2,117.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,120.4)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">7</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,74.4 L481.5,74.4 M463.4,74.4 L471.2,74.4  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,77.7)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M489.3,31.6 L481.5,31.6 M463.4,31.6 L471.2,31.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"start\" transform=\"translate(494.5,34.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">9</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M463.4,373.8 L489.3,373.8 M463.4,31.6 L489.3,31.6 M463.4,373.8 L463.4,31.6 M489.3,373.8 L489.3,31.6    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A = magic(3);\n",
    "imagesc(A); % visualize a matrix :)\n",
    "colorbar;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Control Statements:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      2\n",
      "      4\n",
      "      8\n",
      "     16\n",
      "     32\n",
      "     64\n",
      "    128\n",
      "    256\n",
      "    512\n",
      "   1024\n"
     ]
    }
   ],
   "source": [
    "v = zeros(10, 1);\n",
    "\n",
    "for i = 1:10,\n",
    "    v(i) = 2 ^ i;\n",
    "end;\n",
    "\n",
    "for i=v,\n",
    "    disp(i);\n",
    "end;\n",
    "\n",
    "% break and continue are allowed inside for statements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "v =\n",
      "\n",
      "    100\n",
      "    100\n",
      "    100\n",
      "    100\n",
      "    100\n",
      "     64\n",
      "    128\n",
      "    256\n",
      "    512\n",
      "   1024\n",
      "\n"
     ]
    }
   ],
   "source": [
    "i = 1;\n",
    "while i <= 5,\n",
    "    v(i) = 100;\n",
    "    i = i + 1;\n",
    "end;\n",
    "v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "v =\n",
      "\n",
      "      999\n",
      "      999\n",
      "   998001\n",
      "      999\n",
      "      999\n",
      "       64\n",
      "      128\n",
      "      256\n",
      "      512\n",
      "     1024\n",
      "\n"
     ]
    }
   ],
   "source": [
    "i = 1;\n",
    "while true,\n",
    "    \n",
    "    if i == 6,\n",
    "        break;\n",
    "    elseif i == 3,\n",
    "        v(i) = v(i) ^ 2;\n",
    "    else\n",
    "        v(i) = 999;\n",
    "    end;\n",
    "    \n",
    "    i = i + 1;\n",
    "end;\n",
    "v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "function y = squareIt (x) % y is the return variable\n",
    "    y = x ^ 2;\n",
    "endfunction;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ans =  25\n"
     ]
    }
   ],
   "source": [
    "squareIt(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "function [y, z] = squareAndCube(x)\n",
    "    y = x ^ 2;\n",
    "    z = x ^ 3;\n",
    "endfunction;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a =  9\n",
      "b =  27\n"
     ]
    }
   ],
   "source": [
    "[a, b] = squareAndCube(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.2 patchlevel 6 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"#ffffff\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke=\"currentColor\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.357\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.357\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"#FFFFFF\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<g shape-rendering=\"crispEdges\" stroke=\"none\">\n",
       "\t\t<polygon fill=\"rgb(255, 255, 255)\" points=\"28.6,397.6 544.2,397.6 544.2,11.4 28.6,11.4 \"/>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,397.6 L36.4,397.6 M544.3,397.6 L536.5,397.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,400.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,320.3 L36.4,320.3 M544.3,320.3 L536.5,320.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,323.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">20</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,243.1 L36.4,243.1 M544.3,243.1 L536.5,243.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,246.4)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">40</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,165.8 L36.4,165.8 M544.3,165.8 L536.5,165.8  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,169.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">60</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,88.6 L36.4,88.6 M544.3,88.6 L536.5,88.6  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,91.9)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">80</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,11.3 L36.4,11.3 M544.3,11.3 L536.5,11.3  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"end\" transform=\"translate(23.4,14.6)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">100</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M28.6,397.6 L28.6,389.8 M28.6,11.3 L28.6,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(28.6,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">0</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M131.7,397.6 L131.7,389.8 M131.7,11.3 L131.7,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(131.7,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">2</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M234.9,397.6 L234.9,389.8 M234.9,11.3 L234.9,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(234.9,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">4</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M338.0,397.6 L338.0,389.8 M338.0,11.3 L338.0,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(338.0,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">6</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M441.2,397.6 L441.2,389.8 M441.2,11.3 L441.2,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(441.2,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">8</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "\t<path d=\"M544.3,397.6 L544.3,389.8 M544.3,11.3 L544.3,19.1  \" stroke=\"rgb(  0,   0,   0)\"/>\t<g fill=\"rgb(38,38,38)\" font-family=\"Arial\" font-size=\"10.00\" stroke=\"none\" text-anchor=\"middle\" transform=\"translate(544.3,412.1)\">\n",
       "\t\t<text><tspan font-family=\"Arial\">10</tspan></text>\n",
       "\t</g>\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0,   0,   0)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M80.2,393.7 L85.3,392.9 L90.5,392.0 L95.6,391.1 L100.8,390.0 L106.0,388.9 L111.1,387.7 L116.3,386.4   L121.4,385.1 L126.6,383.7 L131.7,382.1 L136.9,380.6 L142.1,378.9 L147.2,377.2 L152.4,375.3 L157.5,373.5   L162.7,371.5 L167.8,369.4 L173.0,367.3 L178.2,365.1 L183.3,362.8 L188.5,360.5 L193.6,358.0 L198.8,355.5   L203.9,352.9 L209.1,350.3 L214.3,347.5 L219.4,344.7 L224.6,341.8 L229.7,338.8 L234.9,335.8 L240.0,332.7   L245.2,329.5 L250.4,326.2 L255.5,322.8 L260.7,319.4 L265.8,315.9 L271.0,312.3 L276.1,308.6 L281.3,304.8   L286.5,301.0 L291.6,297.1 L296.8,293.1 L301.9,289.1 L307.1,285.0 L312.2,280.7 L317.4,276.5 L322.5,272.1   L327.7,267.6 L332.9,263.1 L338.0,258.5 L343.2,253.9 L348.3,249.1 L353.5,244.3 L358.6,239.4 L363.8,234.4   L369.0,229.3 L374.1,224.2 L379.3,219.0 L384.4,213.7 L389.6,208.3 L394.7,202.9 L399.9,197.3 L405.1,191.7   L410.2,186.1 L415.4,180.3 L420.5,174.5 L425.7,168.6 L430.8,162.6 L436.0,156.5 L441.2,150.4 L446.3,144.1   L451.5,137.9 L456.6,131.5 L461.8,125.0 L466.9,118.5 L472.1,111.9 L477.3,105.2 L482.4,98.4 L487.6,91.6   L492.7,84.7 L497.9,77.7 L503.0,70.6 L508.2,63.5 L513.4,56.3 L518.5,49.0 L523.7,41.6 L528.8,34.1   L534.0,26.6 L539.1,19.0 L544.3,11.3  \" stroke=\"rgb(  0, 114, 189)\"/></g>\n",
       "\t</g>\n",
       "<g color=\"#FFFFFF\" fill=\"none\" stroke=\"rgb(  0, 114, 189)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"2.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"black\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M28.6,397.6 L544.3,397.6 M28.6,11.3 L544.3,11.3 M28.6,397.6 L28.6,11.3 M544.3,397.6 L544.3,11.3    \" stroke=\"rgb( 38,  38,  38)\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb( 38,  38,  38)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f = @(x) x .^ 2;\n",
    "plot(1:0.1:10, f(1:0.1:10))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Octave",
   "language": "octave",
   "name": "octave"
  },
  "language_info": {
   "file_extension": ".m",
   "help_links": [
    {
     "text": "GNU Octave",
     "url": "https://www.gnu.org/software/octave/support.html"
    },
    {
     "text": "Octave Kernel",
     "url": "https://github.com/Calysto/octave_kernel"
    },
    {
     "text": "MetaKernel Magics",
     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
    }
   ],
   "mimetype": "text/x-octave",
   "name": "octave",
   "version": "4.4.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}