impulse_tests.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#%matplotlib notebook\n",
    "import numpy as np\n",
    "import serial\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import curve_fit\n",
    "from time import sleep\n",
    "import os\n",
    "from glob import glob\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COM4\n"
     ]
    }
   ],
   "source": [
    "ser = serial.Serial(port='COM4',baudrate=115200,timeout=.2)\n",
    "print(ser.name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def serialQry(port, command):\n",
    "    port.reset_input_buffer()\n",
    "    port.write((command + '\\r').encode('ascii'))\n",
    "    return port.readline().decode('ascii').strip() #strip removes white space\n",
    "\n",
    "def serialCmd(port, command):\n",
    "    port.reset_input_buffer()\n",
    "    port.write((command + '\\r').encode('ascii'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Stanford_Research_Systems,SR542,s/n00000001,v0.10'"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "serialQry(ser, '*IDN?')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def impulseMeasurement(totalTime, dt, IQ):\n",
    "    speed = np.zeros(0)\n",
    "    N = int(totalTime/dt)\n",
    "    serialCmd(ser,f'$IMQ {IQ:.3f}')\n",
    "    \n",
    "    for t in range(0,N):\n",
    "        speed = np.append(speed, float(serialQry(ser,'MFRQ? SHAFT')))        \n",
    "        sleep(dt)\n",
    "        \n",
    "    time_s = np.arange(0, totalTime, dt)\n",
    "    #np.savetxt('impulse_'+str(delta_IQ)+'.txt',np.transpose([time_s,speed]),newline='\\r\\n')\n",
    "    serialCmd(ser, 'AMPL 0, 0')\n",
    "    serialCmd(ser,'STOP')\n",
    "    \n",
    "    return time_s, speed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "time_s, speed = impulseMeasurement(30, 0.1, 0.15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'shaft accel (rev/s^2)')"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fix, ax = plt.subplots()\n",
    "ax.plot(time_s, speed)\n",
    "ax.set_xlabel('time (s)')\n",
    "ax.set_ylabel('shaft speed (rev/s)')\n",
    "\n",
    "ax2 = ax.twinx()\n",
    "ax2.set_xlim(3, 14)\n",
    "ax2.plot(time_s, np.gradient(speed), color='green')\n",
    "ax2.set_ylabel('shaft accel (rev/s^2)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>time</th>\n",
       "      <th>speed</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.1</td>\n",
       "      <td>-8.06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.2</td>\n",
       "      <td>-4.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.3</td>\n",
       "      <td>-1.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.4</td>\n",
       "      <td>2.51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.5</td>\n",
       "      <td>-1.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>1.1</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>1.2</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>1.3</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>1.4</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>1.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>1.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>1.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>1.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2.1</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2.2</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2.3</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2.4</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>3.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>3.1</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>3.2</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>3.3</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>3.4</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>3.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>3.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>3.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>3.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>3.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>4.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>4.1</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>4.2</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>4.3</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>4.4</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>4.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>4.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>4.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>4.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>4.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>5.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>5.1</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>5.2</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>5.3</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>5.4</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>5.5</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>5.6</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>5.7</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>5.8</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>5.9</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60</th>\n",
       "      <td>6.0</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>61</th>\n",
       "      <td>6.1</td>\n",
       "      <td>11.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62</th>\n",
       "      <td>6.2</td>\n",
       "      <td>20.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>6.3</td>\n",
       "      <td>30.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>6.4</td>\n",
       "      <td>41.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>6.5</td>\n",
       "      <td>52.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>6.6</td>\n",
       "      <td>61.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>6.7</td>\n",
       "      <td>72.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>68</th>\n",
       "      <td>6.8</td>\n",
       "      <td>81.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>69</th>\n",
       "      <td>6.9</td>\n",
       "      <td>90.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>7.0</td>\n",
       "      <td>98.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71</th>\n",
       "      <td>7.1</td>\n",
       "      <td>106.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>7.2</td>\n",
       "      <td>112.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>73</th>\n",
       "      <td>7.3</td>\n",
       "      <td>118.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>74</th>\n",
       "      <td>7.4</td>\n",
       "      <td>123.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>7.5</td>\n",
       "      <td>128.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>7.6</td>\n",
       "      <td>133.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>77</th>\n",
       "      <td>7.7</td>\n",
       "      <td>138.18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>78</th>\n",
       "      <td>7.8</td>\n",
       "      <td>142.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>79</th>\n",
       "      <td>7.9</td>\n",
       "      <td>147.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80</th>\n",
       "      <td>8.0</td>\n",
       "      <td>151.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>81</th>\n",
       "      <td>8.1</td>\n",
       "      <td>154.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82</th>\n",
       "      <td>8.2</td>\n",
       "      <td>157.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83</th>\n",
       "      <td>8.3</td>\n",
       "      <td>160.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>84</th>\n",
       "      <td>8.4</td>\n",
       "      <td>163.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>8.5</td>\n",
       "      <td>165.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>86</th>\n",
       "      <td>8.6</td>\n",
       "      <td>167.64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87</th>\n",
       "      <td>8.7</td>\n",
       "      <td>169.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>88</th>\n",
       "      <td>8.8</td>\n",
       "      <td>171.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>89</th>\n",
       "      <td>8.9</td>\n",
       "      <td>173.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90</th>\n",
       "      <td>9.0</td>\n",
       "      <td>175.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>91</th>\n",
       "      <td>9.1</td>\n",
       "      <td>177.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>92</th>\n",
       "      <td>9.2</td>\n",
       "      <td>178.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93</th>\n",
       "      <td>9.3</td>\n",
       "      <td>179.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>94</th>\n",
       "      <td>9.4</td>\n",
       "      <td>180.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>95</th>\n",
       "      <td>9.5</td>\n",
       "      <td>181.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96</th>\n",
       "      <td>9.6</td>\n",
       "      <td>182.83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>9.7</td>\n",
       "      <td>183.64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>98</th>\n",
       "      <td>9.8</td>\n",
       "      <td>184.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>99</th>\n",
       "      <td>9.9</td>\n",
       "      <td>185.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>100</th>\n",
       "      <td>10.0</td>\n",
       "      <td>185.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>10.1</td>\n",
       "      <td>186.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>10.2</td>\n",
       "      <td>187.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>10.3</td>\n",
       "      <td>187.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>10.4</td>\n",
       "      <td>188.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>10.5</td>\n",
       "      <td>188.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>10.6</td>\n",
       "      <td>189.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>10.7</td>\n",
       "      <td>189.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>10.8</td>\n",
       "      <td>189.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>10.9</td>\n",
       "      <td>190.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>11.0</td>\n",
       "      <td>190.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>11.1</td>\n",
       "      <td>190.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>11.2</td>\n",
       "      <td>190.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>11.3</td>\n",
       "      <td>190.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>11.4</td>\n",
       "      <td>191.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>11.5</td>\n",
       "      <td>191.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>11.6</td>\n",
       "      <td>191.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>11.7</td>\n",
       "      <td>191.64</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>11.8</td>\n",
       "      <td>191.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>11.9</td>\n",
       "      <td>191.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>120</th>\n",
       "      <td>12.0</td>\n",
       "      <td>191.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>12.1</td>\n",
       "      <td>192.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>12.2</td>\n",
       "      <td>192.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>12.3</td>\n",
       "      <td>192.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>12.4</td>\n",
       "      <td>192.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>12.5</td>\n",
       "      <td>192.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>12.6</td>\n",
       "      <td>192.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>12.7</td>\n",
       "      <td>192.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>12.8</td>\n",
       "      <td>192.32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>12.9</td>\n",
       "      <td>192.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>13.0</td>\n",
       "      <td>192.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>13.1</td>\n",
       "      <td>192.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>13.2</td>\n",
       "      <td>192.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>13.3</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>13.4</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>13.5</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>13.6</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>13.7</td>\n",
       "      <td>192.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>13.8</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>13.9</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>14.0</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>14.1</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>14.2</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>14.3</td>\n",
       "      <td>192.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>14.4</td>\n",
       "      <td>192.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>14.5</td>\n",
       "      <td>192.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>14.6</td>\n",
       "      <td>192.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>14.7</td>\n",
       "      <td>192.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>14.8</td>\n",
       "      <td>192.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>14.9</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>150</th>\n",
       "      <td>15.0</td>\n",
       "      <td>192.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>15.1</td>\n",
       "      <td>192.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>15.2</td>\n",
       "      <td>192.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>153</th>\n",
       "      <td>15.3</td>\n",
       "      <td>192.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>154</th>\n",
       "      <td>15.4</td>\n",
       "      <td>192.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>155</th>\n",
       "      <td>15.5</td>\n",
       "      <td>192.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>156</th>\n",
       "      <td>15.6</td>\n",
       "      <td>192.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157</th>\n",
       "      <td>15.7</td>\n",
       "      <td>192.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>158</th>\n",
       "      <td>15.8</td>\n",
       "      <td>192.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>159</th>\n",
       "      <td>15.9</td>\n",
       "      <td>192.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>160</th>\n",
       "      <td>16.0</td>\n",
       "      <td>192.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>161</th>\n",
       "      <td>16.1</td>\n",
       "      <td>192.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>162</th>\n",
       "      <td>16.2</td>\n",
       "      <td>192.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>163</th>\n",
       "      <td>16.3</td>\n",
       "      <td>192.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>164</th>\n",
       "      <td>16.4</td>\n",
       "      <td>192.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>165</th>\n",
       "      <td>16.5</td>\n",
       "      <td>192.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>166</th>\n",
       "      <td>16.6</td>\n",
       "      <td>192.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167</th>\n",
       "      <td>16.7</td>\n",
       "      <td>192.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>168</th>\n",
       "      <td>16.8</td>\n",
       "      <td>192.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>169</th>\n",
       "      <td>16.9</td>\n",
       "      <td>192.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>17.0</td>\n",
       "      <td>192.68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>171</th>\n",
       "      <td>17.1</td>\n",
       "      <td>192.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172</th>\n",
       "      <td>17.2</td>\n",
       "      <td>192.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>173</th>\n",
       "      <td>17.3</td>\n",
       "      <td>192.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>17.4</td>\n",
       "      <td>192.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>17.5</td>\n",
       "      <td>192.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>176</th>\n",
       "      <td>17.6</td>\n",
       "      <td>192.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>177</th>\n",
       "      <td>17.7</td>\n",
       "      <td>192.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>178</th>\n",
       "      <td>17.8</td>\n",
       "      <td>192.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>179</th>\n",
       "      <td>17.9</td>\n",
       "      <td>192.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>180</th>\n",
       "      <td>18.0</td>\n",
       "      <td>192.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>181</th>\n",
       "      <td>18.1</td>\n",
       "      <td>192.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>182</th>\n",
       "      <td>18.2</td>\n",
       "      <td>192.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>183</th>\n",
       "      <td>18.3</td>\n",
       "      <td>192.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>184</th>\n",
       "      <td>18.4</td>\n",
       "      <td>192.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>185</th>\n",
       "      <td>18.5</td>\n",
       "      <td>192.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>186</th>\n",
       "      <td>18.6</td>\n",
       "      <td>192.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>18.7</td>\n",
       "      <td>192.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>188</th>\n",
       "      <td>18.8</td>\n",
       "      <td>192.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>189</th>\n",
       "      <td>18.9</td>\n",
       "      <td>192.96</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>190</th>\n",
       "      <td>19.0</td>\n",
       "      <td>192.97</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>191</th>\n",
       "      <td>19.1</td>\n",
       "      <td>193.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>192</th>\n",
       "      <td>19.2</td>\n",
       "      <td>193.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>193</th>\n",
       "      <td>19.3</td>\n",
       "      <td>193.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>194</th>\n",
       "      <td>19.4</td>\n",
       "      <td>193.06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>19.5</td>\n",
       "      <td>193.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>19.6</td>\n",
       "      <td>193.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>19.7</td>\n",
       "      <td>193.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>19.8</td>\n",
       "      <td>193.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>19.9</td>\n",
       "      <td>193.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>20.0</td>\n",
       "      <td>193.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>20.1</td>\n",
       "      <td>193.16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>20.2</td>\n",
       "      <td>193.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>20.3</td>\n",
       "      <td>193.19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>20.4</td>\n",
       "      <td>193.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>20.5</td>\n",
       "      <td>193.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>20.6</td>\n",
       "      <td>193.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>20.7</td>\n",
       "      <td>193.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>20.8</td>\n",
       "      <td>193.28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>20.9</td>\n",
       "      <td>193.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>21.0</td>\n",
       "      <td>193.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>21.1</td>\n",
       "      <td>193.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>212</th>\n",
       "      <td>21.2</td>\n",
       "      <td>193.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>213</th>\n",
       "      <td>21.3</td>\n",
       "      <td>193.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>214</th>\n",
       "      <td>21.4</td>\n",
       "      <td>193.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>215</th>\n",
       "      <td>21.5</td>\n",
       "      <td>193.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>216</th>\n",
       "      <td>21.6</td>\n",
       "      <td>193.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>217</th>\n",
       "      <td>21.7</td>\n",
       "      <td>193.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>218</th>\n",
       "      <td>21.8</td>\n",
       "      <td>193.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>21.9</td>\n",
       "      <td>193.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>220</th>\n",
       "      <td>22.0</td>\n",
       "      <td>193.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>221</th>\n",
       "      <td>22.1</td>\n",
       "      <td>193.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222</th>\n",
       "      <td>22.2</td>\n",
       "      <td>193.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>223</th>\n",
       "      <td>22.3</td>\n",
       "      <td>193.51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>224</th>\n",
       "      <td>22.4</td>\n",
       "      <td>193.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>225</th>\n",
       "      <td>22.5</td>\n",
       "      <td>193.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>226</th>\n",
       "      <td>22.6</td>\n",
       "      <td>193.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>227</th>\n",
       "      <td>22.7</td>\n",
       "      <td>193.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>228</th>\n",
       "      <td>22.8</td>\n",
       "      <td>193.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>229</th>\n",
       "      <td>22.9</td>\n",
       "      <td>193.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>230</th>\n",
       "      <td>23.0</td>\n",
       "      <td>193.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>231</th>\n",
       "      <td>23.1</td>\n",
       "      <td>193.68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>232</th>\n",
       "      <td>23.2</td>\n",
       "      <td>193.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>233</th>\n",
       "      <td>23.3</td>\n",
       "      <td>193.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>234</th>\n",
       "      <td>23.4</td>\n",
       "      <td>193.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>235</th>\n",
       "      <td>23.5</td>\n",
       "      <td>193.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>236</th>\n",
       "      <td>23.6</td>\n",
       "      <td>193.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>237</th>\n",
       "      <td>23.7</td>\n",
       "      <td>193.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>238</th>\n",
       "      <td>23.8</td>\n",
       "      <td>193.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>239</th>\n",
       "      <td>23.9</td>\n",
       "      <td>193.83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>240</th>\n",
       "      <td>24.0</td>\n",
       "      <td>193.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>241</th>\n",
       "      <td>24.1</td>\n",
       "      <td>193.86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>242</th>\n",
       "      <td>24.2</td>\n",
       "      <td>193.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>243</th>\n",
       "      <td>24.3</td>\n",
       "      <td>193.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>244</th>\n",
       "      <td>24.4</td>\n",
       "      <td>193.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>245</th>\n",
       "      <td>24.5</td>\n",
       "      <td>193.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>246</th>\n",
       "      <td>24.6</td>\n",
       "      <td>193.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>247</th>\n",
       "      <td>24.7</td>\n",
       "      <td>193.96</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>248</th>\n",
       "      <td>24.8</td>\n",
       "      <td>193.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>249</th>\n",
       "      <td>24.9</td>\n",
       "      <td>193.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>250</th>\n",
       "      <td>25.0</td>\n",
       "      <td>194.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>251</th>\n",
       "      <td>25.1</td>\n",
       "      <td>194.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>252</th>\n",
       "      <td>25.2</td>\n",
       "      <td>194.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>253</th>\n",
       "      <td>25.3</td>\n",
       "      <td>194.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>254</th>\n",
       "      <td>25.4</td>\n",
       "      <td>194.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>255</th>\n",
       "      <td>25.5</td>\n",
       "      <td>194.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>256</th>\n",
       "      <td>25.6</td>\n",
       "      <td>194.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257</th>\n",
       "      <td>25.7</td>\n",
       "      <td>194.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>258</th>\n",
       "      <td>25.8</td>\n",
       "      <td>194.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>259</th>\n",
       "      <td>25.9</td>\n",
       "      <td>194.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>260</th>\n",
       "      <td>26.0</td>\n",
       "      <td>194.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>261</th>\n",
       "      <td>26.1</td>\n",
       "      <td>194.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>262</th>\n",
       "      <td>26.2</td>\n",
       "      <td>194.19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>263</th>\n",
       "      <td>26.3</td>\n",
       "      <td>194.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>264</th>\n",
       "      <td>26.4</td>\n",
       "      <td>194.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>265</th>\n",
       "      <td>26.5</td>\n",
       "      <td>194.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>266</th>\n",
       "      <td>26.6</td>\n",
       "      <td>194.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>267</th>\n",
       "      <td>26.7</td>\n",
       "      <td>194.26</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>268</th>\n",
       "      <td>26.8</td>\n",
       "      <td>194.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>269</th>\n",
       "      <td>26.9</td>\n",
       "      <td>194.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>270</th>\n",
       "      <td>27.0</td>\n",
       "      <td>194.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>271</th>\n",
       "      <td>27.1</td>\n",
       "      <td>194.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>27.2</td>\n",
       "      <td>194.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>273</th>\n",
       "      <td>27.3</td>\n",
       "      <td>194.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>274</th>\n",
       "      <td>27.4</td>\n",
       "      <td>194.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>275</th>\n",
       "      <td>27.5</td>\n",
       "      <td>194.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>276</th>\n",
       "      <td>27.6</td>\n",
       "      <td>194.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>277</th>\n",
       "      <td>27.7</td>\n",
       "      <td>194.43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>278</th>\n",
       "      <td>27.8</td>\n",
       "      <td>194.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>279</th>\n",
       "      <td>27.9</td>\n",
       "      <td>194.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>280</th>\n",
       "      <td>28.0</td>\n",
       "      <td>194.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>281</th>\n",
       "      <td>28.1</td>\n",
       "      <td>194.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>282</th>\n",
       "      <td>28.2</td>\n",
       "      <td>194.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>283</th>\n",
       "      <td>28.3</td>\n",
       "      <td>194.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>284</th>\n",
       "      <td>28.4</td>\n",
       "      <td>194.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>285</th>\n",
       "      <td>28.5</td>\n",
       "      <td>194.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>286</th>\n",
       "      <td>28.6</td>\n",
       "      <td>194.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>287</th>\n",
       "      <td>28.7</td>\n",
       "      <td>194.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>288</th>\n",
       "      <td>28.8</td>\n",
       "      <td>194.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>289</th>\n",
       "      <td>28.9</td>\n",
       "      <td>194.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>290</th>\n",
       "      <td>29.0</td>\n",
       "      <td>194.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>291</th>\n",
       "      <td>29.1</td>\n",
       "      <td>194.68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>292</th>\n",
       "      <td>29.2</td>\n",
       "      <td>194.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>293</th>\n",
       "      <td>29.3</td>\n",
       "      <td>194.73</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>294</th>\n",
       "      <td>29.4</td>\n",
       "      <td>194.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>295</th>\n",
       "      <td>29.5</td>\n",
       "      <td>194.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>296</th>\n",
       "      <td>29.6</td>\n",
       "      <td>194.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>297</th>\n",
       "      <td>29.7</td>\n",
       "      <td>194.79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>298</th>\n",
       "      <td>29.8</td>\n",
       "      <td>194.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>299</th>\n",
       "      <td>29.9</td>\n",
       "      <td>194.83</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     time   speed\n",
       "0     0.0    0.00\n",
       "1     0.1   -8.06\n",
       "2     0.2   -4.81\n",
       "3     0.3   -1.29\n",
       "4     0.4    2.51\n",
       "5     0.5   -1.11\n",
       "6     0.6    0.00\n",
       "7     0.7    0.00\n",
       "8     0.8    0.00\n",
       "9     0.9    0.00\n",
       "10    1.0    0.00\n",
       "11    1.1    0.00\n",
       "12    1.2    0.00\n",
       "13    1.3    0.00\n",
       "14    1.4    0.00\n",
       "15    1.5    0.00\n",
       "16    1.6    0.00\n",
       "17    1.7    0.00\n",
       "18    1.8    0.00\n",
       "19    1.9    0.00\n",
       "20    2.0    0.00\n",
       "21    2.1    0.00\n",
       "22    2.2    0.00\n",
       "23    2.3    0.00\n",
       "24    2.4    0.00\n",
       "25    2.5    0.00\n",
       "26    2.6    0.00\n",
       "27    2.7    0.00\n",
       "28    2.8    0.00\n",
       "29    2.9    0.00\n",
       "30    3.0    0.00\n",
       "31    3.1    0.00\n",
       "32    3.2    0.00\n",
       "33    3.3    0.00\n",
       "34    3.4    0.00\n",
       "35    3.5    0.00\n",
       "36    3.6    0.00\n",
       "37    3.7    0.00\n",
       "38    3.8    0.00\n",
       "39    3.9    0.00\n",
       "40    4.0    0.00\n",
       "41    4.1    0.00\n",
       "42    4.2    0.00\n",
       "43    4.3    0.00\n",
       "44    4.4    0.00\n",
       "45    4.5    0.00\n",
       "46    4.6    0.00\n",
       "47    4.7    0.00\n",
       "48    4.8    0.00\n",
       "49    4.9    0.00\n",
       "50    5.0    0.00\n",
       "51    5.1    0.00\n",
       "52    5.2    0.00\n",
       "53    5.3    0.00\n",
       "54    5.4    0.00\n",
       "55    5.5    0.00\n",
       "56    5.6    0.00\n",
       "57    5.7    0.00\n",
       "58    5.8    0.00\n",
       "59    5.9    0.00\n",
       "60    6.0    0.00\n",
       "61    6.1   11.41\n",
       "62    6.2   20.89\n",
       "63    6.3   30.79\n",
       "64    6.4   41.20\n",
       "65    6.5   52.11\n",
       "66    6.6   61.98\n",
       "67    6.7   72.13\n",
       "68    6.8   81.15\n",
       "69    6.9   90.33\n",
       "70    7.0   98.38\n",
       "71    7.1  106.27\n",
       "72    7.2  112.13\n",
       "73    7.3  118.07\n",
       "74    7.4  123.62\n",
       "75    7.5  128.43\n",
       "76    7.6  133.30\n",
       "77    7.7  138.18\n",
       "78    7.8  142.99\n",
       "79    7.9  147.14\n",
       "80    8.0  151.22\n",
       "81    8.1  154.72\n",
       "82    8.2  157.72\n",
       "83    8.3  160.90\n",
       "84    8.4  163.24\n",
       "85    8.5  165.43\n",
       "86    8.6  167.64\n",
       "87    8.7  169.69\n",
       "88    8.8  171.74\n",
       "89    8.9  173.74\n",
       "90    9.0  175.46\n",
       "91    9.1  177.15\n",
       "92    9.2  178.58\n",
       "93    9.3  179.79\n",
       "94    9.4  180.92\n",
       "95    9.5  181.87\n",
       "96    9.6  182.83\n",
       "97    9.7  183.64\n",
       "98    9.8  184.44\n",
       "99    9.9  185.17\n",
       "100  10.0  185.91\n",
       "101  10.1  186.61\n",
       "102  10.2  187.20\n",
       "103  10.3  187.79\n",
       "104  10.4  188.28\n",
       "105  10.5  188.76\n",
       "106  10.6  189.10\n",
       "107  10.7  189.45\n",
       "108  10.8  189.75\n",
       "109  10.9  190.02\n",
       "110  11.0  190.29\n",
       "111  11.1  190.53\n",
       "112  11.2  190.75\n",
       "113  11.3  190.98\n",
       "114  11.4  191.16\n",
       "115  11.5  191.34\n",
       "116  11.6  191.50\n",
       "117  11.7  191.64\n",
       "118  11.8  191.77\n",
       "119  11.9  191.87\n",
       "120  12.0  191.97\n",
       "121  12.1  192.04\n",
       "122  12.2  192.11\n",
       "123  12.3  192.17\n",
       "124  12.4  192.21\n",
       "125  12.5  192.24\n",
       "126  12.6  192.27\n",
       "127  12.7  192.30\n",
       "128  12.8  192.32\n",
       "129  12.9  192.35\n",
       "130  13.0  192.37\n",
       "131  13.1  192.38\n",
       "132  13.2  192.40\n",
       "133  13.3  192.42\n",
       "134  13.4  192.42\n",
       "135  13.5  192.43\n",
       "136  13.6  192.43\n",
       "137  13.7  192.44\n",
       "138  13.8  192.43\n",
       "139  13.9  192.43\n",
       "140  14.0  192.43\n",
       "141  14.1  192.42\n",
       "142  14.2  192.42\n",
       "143  14.3  192.41\n",
       "144  14.4  192.41\n",
       "145  14.5  192.41\n",
       "146  14.6  192.40\n",
       "147  14.7  192.41\n",
       "148  14.8  192.41\n",
       "149  14.9  192.42\n",
       "150  15.0  192.42\n",
       "151  15.1  192.43\n",
       "152  15.2  192.45\n",
       "153  15.3  192.46\n",
       "154  15.4  192.46\n",
       "155  15.5  192.48\n",
       "156  15.6  192.49\n",
       "157  15.7  192.50\n",
       "158  15.8  192.52\n",
       "159  15.9  192.52\n",
       "160  16.0  192.54\n",
       "161  16.1  192.55\n",
       "162  16.2  192.55\n",
       "163  16.3  192.58\n",
       "164  16.4  192.59\n",
       "165  16.5  192.60\n",
       "166  16.6  192.61\n",
       "167  16.7  192.63\n",
       "168  16.8  192.65\n",
       "169  16.9  192.65\n",
       "170  17.0  192.68\n",
       "171  17.1  192.69\n",
       "172  17.2  192.71\n",
       "173  17.3  192.72\n",
       "174  17.4  192.74\n",
       "175  17.5  192.76\n",
       "176  17.6  192.77\n",
       "177  17.7  192.78\n",
       "178  17.8  192.79\n",
       "179  17.9  192.81\n",
       "180  18.0  192.81\n",
       "181  18.1  192.84\n",
       "182  18.2  192.84\n",
       "183  18.3  192.87\n",
       "184  18.4  192.88\n",
       "185  18.5  192.89\n",
       "186  18.6  192.91\n",
       "187  18.7  192.93\n",
       "188  18.8  192.95\n",
       "189  18.9  192.96\n",
       "190  19.0  192.97\n",
       "191  19.1  193.00\n",
       "192  19.2  193.02\n",
       "193  19.3  193.03\n",
       "194  19.4  193.06\n",
       "195  19.5  193.07\n",
       "196  19.6  193.10\n",
       "197  19.7  193.11\n",
       "198  19.8  193.12\n",
       "199  19.9  193.15\n",
       "200  20.0  193.16\n",
       "201  20.1  193.16\n",
       "202  20.2  193.17\n",
       "203  20.3  193.19\n",
       "204  20.4  193.21\n",
       "205  20.5  193.23\n",
       "206  20.6  193.25\n",
       "207  20.7  193.27\n",
       "208  20.8  193.28\n",
       "209  20.9  193.30\n",
       "210  21.0  193.31\n",
       "211  21.1  193.34\n",
       "212  21.2  193.34\n",
       "213  21.3  193.37\n",
       "214  21.4  193.38\n",
       "215  21.5  193.39\n",
       "216  21.6  193.41\n",
       "217  21.7  193.42\n",
       "218  21.8  193.43\n",
       "219  21.9  193.44\n",
       "220  22.0  193.47\n",
       "221  22.1  193.48\n",
       "222  22.2  193.49\n",
       "223  22.3  193.51\n",
       "224  22.4  193.54\n",
       "225  22.5  193.55\n",
       "226  22.6  193.58\n",
       "227  22.7  193.60\n",
       "228  22.8  193.62\n",
       "229  22.9  193.65\n",
       "230  23.0  193.67\n",
       "231  23.1  193.68\n",
       "232  23.2  193.69\n",
       "233  23.3  193.72\n",
       "234  23.4  193.74\n",
       "235  23.5  193.77\n",
       "236  23.6  193.78\n",
       "237  23.7  193.79\n",
       "238  23.8  193.81\n",
       "239  23.9  193.83\n",
       "240  24.0  193.85\n",
       "241  24.1  193.86\n",
       "242  24.2  193.88\n",
       "243  24.3  193.89\n",
       "244  24.4  193.91\n",
       "245  24.5  193.94\n",
       "246  24.6  193.94\n",
       "247  24.7  193.96\n",
       "248  24.8  193.98\n",
       "249  24.9  193.99\n",
       "250  25.0  194.00\n",
       "251  25.1  194.01\n",
       "252  25.2  194.03\n",
       "253  25.3  194.05\n",
       "254  25.4  194.07\n",
       "255  25.5  194.08\n",
       "256  25.6  194.10\n",
       "257  25.7  194.11\n",
       "258  25.8  194.13\n",
       "259  25.9  194.14\n",
       "260  26.0  194.15\n",
       "261  26.1  194.17\n",
       "262  26.2  194.19\n",
       "263  26.3  194.20\n",
       "264  26.4  194.21\n",
       "265  26.5  194.23\n",
       "266  26.6  194.25\n",
       "267  26.7  194.26\n",
       "268  26.8  194.27\n",
       "269  26.9  194.29\n",
       "270  27.0  194.31\n",
       "271  27.1  194.33\n",
       "272  27.2  194.34\n",
       "273  27.3  194.36\n",
       "274  27.4  194.37\n",
       "275  27.5  194.39\n",
       "276  27.6  194.42\n",
       "277  27.7  194.43\n",
       "278  27.8  194.45\n",
       "279  27.9  194.47\n",
       "280  28.0  194.48\n",
       "281  28.1  194.50\n",
       "282  28.2  194.52\n",
       "283  28.3  194.55\n",
       "284  28.4  194.56\n",
       "285  28.5  194.58\n",
       "286  28.6  194.60\n",
       "287  28.7  194.62\n",
       "288  28.8  194.63\n",
       "289  28.9  194.66\n",
       "290  29.0  194.67\n",
       "291  29.1  194.68\n",
       "292  29.2  194.70\n",
       "293  29.3  194.73\n",
       "294  29.4  194.74\n",
       "295  29.5  194.76\n",
       "296  29.6  194.78\n",
       "297  29.7  194.79\n",
       "298  29.8  194.82\n",
       "299  29.9  194.83"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.set_option('display.max_rows', None)\n",
    "df = pd.DataFrame(list(zip(time_s, speed)), columns=['time', 'speed'])\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def impulseResponse(x, f_term, tau):\n",
    "    return f_term*(1 - np.exp(-x/tau))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def secondOrderResponse(x, K, beta, alpha):\n",
    "    return K*(1 - (beta*np.exp(-alpha*x) - alpha*np.exp(-beta*x))/(beta - alpha))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cropArrays(time, speed):\n",
    "    # find the last index of speed = 0 before the speed starts to increase\n",
    "    greaterThanNegThres = np.asarray(speed > -0.01)\n",
    "    LessThanPosThresh = np.asarray(speed < 0.01)\n",
    "    \n",
    "    speedIsZero = np.logical_and(greaterThanNegThres, LessThanPosThresh).nonzero()[0]\n",
    "    index_t0 = speedIsZero[-1]\n",
    "    \n",
    "    time_subset = time[index_t0:] - time[index_t0]\n",
    "    speed_subset = speed[index_t0:]\n",
    "    \n",
    "    return time_subset, speed_subset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "t, s = cropArrays(time_s, speed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1aa3628e310>]"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(t, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "194.83"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1aa374258b0>]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# try to find good initial guesses\n",
    "plt.plot(t, secondOrderResponse(t, max(s), 0.7, 0.8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([193.8471643 ,   1.35896436])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt, pcov = curve_fit(impulseResponse, t, s, p0=[max(s), 1.5])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([193.59725358,   0.79882199,  10.07962513])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt, pcov = curve_fit(secondOrderResponse, t, s, p0=[max(s), 0.7, 0.8])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.2518433504207422"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# tau_1\n",
    "1/popt[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.09921003875782708"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# tau_2\n",
    "1/popt[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1aa37704d00>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "plt.plot(t, s, marker='o', fillstyle='none', linestyle='none', label='data')\n",
    "popt, pcov = curve_fit(impulseResponse, t, s, p0=[max(s), 1.5])\n",
    "plt.plot(t, impulseResponse(t, *popt), label='first order')\n",
    "\n",
    "popt, pcov = curve_fit(secondOrderResponse, t, s, p0=[max(s), 0.7, 0.8])\n",
    "plt.plot(t, secondOrderResponse(t, *popt), label='second order')\n",
    "plt.xlabel('time_s')\n",
    "plt.ylabel('speed (rev/s)')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "impulses = [0.08, .1, .12, .14, .16, .18, .2, .22, .25]\n",
    "\n",
    "time_arrays = []\n",
    "speed_arrays = []\n",
    "for impulse in impulses:\n",
    "    time_s, speed = impulseMeasurement(30, 0.1, impulse)\n",
    "    \n",
    "    time_arrays.append(time_s)\n",
    "    speed_arrays.append(speed)\n",
    "    \n",
    "    # let the motor spin back down\n",
    "    while True:\n",
    "        sleep(1.0)\n",
    "        currentSpeed = float(serialQry(ser, 'MFRQ? SHAFT'))\n",
    "        if(currentSpeed < 1):\n",
    "            break\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(speed_arrays)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save results to individual text files\n",
    "# Change folder name to avoid overwriting old results\n",
    "file_dir = '.\\CalData\\Impulse Response'\n",
    "\n",
    "if not os.path.exists(file_dir):\n",
    "    os.makedirs(file_dir)\n",
    "\n",
    "for i, result in enumerate(speed_arrays):\n",
    "    \n",
    "    filename = f'impulseResponse_IQ={impulses[i]}.csv'\n",
    "    np.savetxt(os.path.join(file_dir, filename), np.transpose([time_arrays[i], result]), \n",
    "               newline='\\n', delimiter=',', header='time (s), speed (rev/s)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "# then read them back in\n",
    "search_path = os.path.join(file_dir, 'impulseResponse*.csv')\n",
    "files = glob(search_path)\n",
    "\n",
    "time_arrays = []\n",
    "speed_arrays = []\n",
    "for full_path_name in files:\n",
    "    results = np.loadtxt(full_path_name, delimiter=',', skiprows=1, usecols=(0,1))\n",
    "    \n",
    "    time_arrays.append(results[:,0])\n",
    "    speed_arrays.append(results[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit_params = []\n",
    "fit_errors = []\n",
    "\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "for i, result in enumerate(speed_arrays):\n",
    "    # 1. Crop the arrays\n",
    "    t_sub, speed_sub = cropArrays(time_arrays[i], result)\n",
    "    # 2. Do the fitting and save the results\n",
    "    #popt, pcov = curve_fit(secondOrderResponse, t_sub, speed_sub, p0=[max(speed_sub), 0.38, 0.73])\n",
    "    popt, pcov = curve_fit(impulseResponse, t_sub, speed_sub, p0=[max(speed_sub), 1.5])\n",
    "    perr = np.sqrt(np.diag(pcov))\n",
    "    fit_params.append(popt)\n",
    "    fit_errors.append(perr)\n",
    "    # 3. Plot the results\n",
    "    plt.plot(t_sub, speed_sub, marker='o', label=f'curr_Q = {impulses[i]}')\n",
    "    #plt.plot(t_sub, secondOrderResponse(t_sub, *popt), color='black')\n",
    "    plt.plot(t_sub, impulseResponse(t_sub, *popt), color='black')\n",
    "    \n",
    "plt.legend(loc='lower right')\n",
    "plt.xlabel('time (s)')\n",
    "plt.ylabel('shaft speed (rev/s)')\n",
    "\n",
    "fit_params = np.asarray(fit_params)\n",
    "fit_errors = np.asarray(fit_errors)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[198.55000247   0.79052488   2.83561158]\n",
      "[0.03753048 0.00294483 0.03005048]\n"
     ]
    }
   ],
   "source": [
    "print(popt)\n",
    "print(perr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[119.01038625,   2.12453542],\n",
       "       [146.29572382,   1.898166  ],\n",
       "       [169.29078861,   1.66004895],\n",
       "       [188.90775119,   1.53715425],\n",
       "       [209.08384441,   1.38220259],\n",
       "       [227.86320621,   1.33828898],\n",
       "       [244.31334573,   1.23301976],\n",
       "       [260.01947596,   1.29553517],\n",
       "       [282.33345719,   1.13668524]])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit_params"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.09384735, 0.01044958],\n",
       "       [0.12440953, 0.01050624],\n",
       "       [0.10966165, 0.00756873],\n",
       "       [0.20578511, 0.0122731 ],\n",
       "       [0.11497334, 0.0060614 ],\n",
       "       [0.16582014, 0.00790496],\n",
       "       [0.16118204, 0.00687229],\n",
       "       [0.24998801, 0.01026709],\n",
       "       [0.14614664, 0.00509948]])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit_errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "# For first-order firts\n",
    "f_term = fit_params[:,0]\n",
    "tau = fit_params[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "# For second-order fits\n",
    "f_term = fit_params[:,0]\n",
    "tau_1 = 1/fit_params[:,1]\n",
    "tau_2 = 1/fit_params[:,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'terminal speed (rev/s)')"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(impulses, f_term, marker='.')\n",
    "plt.xlabel('current (frac of FS)')\n",
    "plt.ylabel('terminal speed (rev/s)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "def current_v_freq(x, I_0, K, power):\n",
    "    return I_0 + (x**power)*K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1aa38b63b50>]"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# TODO: fix calibration to convert impulse (FS frac) to impulse (A)\n",
    "currQ = np.array(impulses)*1.65\n",
    "plt.plot(f_term, currQ, marker='o')\n",
    "plt.plot(f_term, current_v_freq(f_term, .05, 60e-6, 1.9))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([5.71983938e-02, 1.35390186e-05, 1.80286089e+00])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt, pcov = curve_fit(current_v_freq, f_term, currQ, p0 = np.asarray([.05, 60e-6, 1.9]))\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1aa383da160>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linspace(0, max(f_term), 100)\n",
    "plt.plot(f_term, currQ, 'o', label='data')\n",
    "plt.plot(x, current_v_freq(x, *popt), label='I_0 + K*f_term**pow')\n",
    "plt.xlabel('f_term (Hz)')\n",
    "plt.ylabel('current_Q (A)')\n",
    "plt.title('Impulse Current vs. Asymptotic Max Freq')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2058f17ef10>"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(impulses[:-1], tau_1, label=r'$\\tau_1$')\n",
    "plt.plot(impulses[:-1], tau_2, label=r'$\\tau_2$')\n",
    "plt.xlabel('current (frac of FS)')\n",
    "plt.ylabel(r'$\\tau$ (s)')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "def linearFit(x, m, b):\n",
    "    return m*x + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1113.74295752,  -32.02236152])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt, pcov = curve_fit(linearFit, impulses, f_term/tau)\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y-intercept = -32.022\n",
      "slope = 674.996\n",
      "J = 1.31e-06 kg*m^2\n"
     ]
    }
   ],
   "source": [
    "currQ = np.array(impulses)*1.65 #Amps at full-scale\n",
    "y1 = f_term/tau\n",
    "\n",
    "p1 = plt.plot(currQ, y1, marker='o', linestyle='none')\n",
    "\n",
    "popt, pcov = curve_fit(linearFit, currQ, y1)\n",
    "# Or constrain the y-intercept to be zero\n",
    "# popt, pcov = curve_fit(linearFit, currQ, y1, bounds=([-np.inf, 0], [np.inf, 0.001]))\n",
    "\n",
    "x = np.linspace(0, max(currQ), 100)\n",
    "plt.plot(x, linearFit(x, *popt), color=p1[0].get_color())\n",
    "plt.xlabel('current (A)')\n",
    "plt.ylabel('f_term / tau (rev/s^2)')\n",
    "\n",
    "m = popt[0]\n",
    "b = popt[1]\n",
    "print(f'y-intercept = {b:.3f}')\n",
    "print(f'slope = {m:.3f}')\n",
    "K_T = 5.55e-3 #N*m/A, from Nuelectronics spec sheet\n",
    "J = K_T/(2*np.pi*m)\n",
    "print(f'J = {J:.3g} kg*m^2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept = 20.372\n",
      "slope = 377.794\n",
      "J = 2.34e-06 kg*m^2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y2 = f_term/tau_2\n",
    "p2 = plt.plot(currQ, y2, marker='o', linestyle='none')\n",
    "popt, pcov = curve_fit(linearFit, currQ, y2)\n",
    "plt.plot(currQ, linearFit(currQ, *popt), color=p2[0].get_color())\n",
    "\n",
    "plt.xlabel('current (A)')\n",
    "plt.ylabel('f_term / tau_2')\n",
    "\n",
    "m = popt[0]\n",
    "b = popt[1]\n",
    "print(f'intercept = {b:.3f}')\n",
    "print(f'slope = {m:.3f}')\n",
    "K_T = 5.55e-3 #N*m/A, from Nuelectronics spec sheet\n",
    "J = K_T/(2*np.pi*m)\n",
    "print(f'J = {J:.3g} kg*m^2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}