Li vs Q(f; x).ipynb

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   "cell_type": "markdown",
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   "source": [
    "# Introduction\n",
    "This notebook will allow us to see exactly how good of an estimate the Bateman-Horn Conjecture gives for various values of $k \\in \\mathbb{N}$.\n",
    "We want to compare $Q(f; x)$ to $C(f)/2\\ \\mathrm{Li}(x)$ for large values of $x$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from sage.all import primes_first_n\n",
    "from sage.all import legendre_symbol\n",
    "from sage.sets.primes import *\n",
    "from sage.functions.exp_integral import log_integral_offset as Li\n",
    "import numpy as np\n",
    "\n",
    "plt.style.use('bmh')\n",
    "plt.style.use('tex')\n",
    "\n",
    "P = Primes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bateman_horn_constant(N, k):\n",
    "    \"\"\"\n",
    "        Computes the Bateman-Horn Constant for f(x) = x^2+x+k.\n",
    "        \n",
    "        k : an (odd) integer. Determines the polynomial we will be finding the constant for\n",
    "        N : the number of primes to go out to in the product.\n",
    "    \n",
    "    \"\"\"\n",
    "    \n",
    "    # Prepare the first N primes!\n",
    "    primes_list = primes_first_n(N)\n",
    "    primes_list.pop(0)\n",
    "    \n",
    "    # Compute 1-4k\n",
    "    C = 1 - 4 * k\n",
    "    \n",
    "    # Start with the value for p = 2\n",
    "    product = 2.0\n",
    "    \n",
    "    # Compute the rest of the product\n",
    "    for p in primes_list:\n",
    "        product *= (p - 1 - legendre_symbol(C, p)) / (p - 1)\n",
    "        \n",
    "    return product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Return an array with the tally of Q(f; x)\n",
    "def bateman_horn_Q_f(N, k):\n",
    "    # Make an empty array\n",
    "    array = np.zeros(N)\n",
    "    \n",
    "    for i in range(N):\n",
    "        if (i**2 + i + k) in P:\n",
    "            array[i] = array[i-1] + 1\n",
    "        else:\n",
    "            array[i] = array[i-1]\n",
    "        \n",
    "    return array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def bateman_horn_Li(N, k):\n",
    "    \n",
    "    # Calculate the constant\n",
    "    C_f = bateman_horn_constant(N, k)\n",
    "    \n",
    "    return C_f * .5 * np.array([float(Li(x)) for x in range(N)])\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_bateman_horn(N, k):\n",
    "    fig, ax = plt.subplots()\n",
    "    \n",
    "    ax.plot(bateman_horn_Q_f(N+10, k))\n",
    "    ax.plot(bateman_horn_Li(N+10, k))\n",
    "\n",
    "    ax.set_xlabel(\"$x$\")\n",
    "    ax.set_ylabel(\"$y$\")\n",
    "\n",
    "    ax.set_xlim(0, N)\n",
    "    ax.set_ylim(0)\n",
    "\n",
    "    ax.legend((\"$Q(f; x)$\", \"$C(f) /2 \\ \\mathrm{Li}(x)$\"), loc='upper left', fontsize='large')\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
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   "outputs": [
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       "\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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"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\";/* global mpl */\n",
       "\n",
       "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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\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",
       "\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",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\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"
    }
   ],
   "source": [
    "plot_bateman_horn(1000, 41)\n",
    "plt.savefig('../graphics/Q_f_vs_Li.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(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 (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "        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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"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\";/* global mpl */\n",
       "\n",
       "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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\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",
       "\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",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\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"
    }
   ],
   "source": [
    "plot_bateman_horn(10000, 41)\n",
    "plt.savefig('../graphics/Q_f_vs_Li_more.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(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 (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "        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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\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",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\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",
       "        }\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",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\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, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\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\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"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\";/* global mpl */\n",
       "\n",
       "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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\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",
       "\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",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\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"
    }
   ],
   "source": [
    "plot_bateman_horn(10**6, 41)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.savefig('../graphics/Q_f_vs_Li_even_more.pdf', bbox_inches=\"tight\")"
   ]
  },
  {
   "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": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}