bernoullicharts/pow_x_2_4__bound.svg

<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Created with matplotlib (https://matplotlib.org/) -->
<svg height="345.6pt" version="1.1" viewBox="0 0 460.8 345.6" width="460.8pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
 <defs>
  <style type="text/css">
*{stroke-linecap:butt;stroke-linejoin:round;}
  </style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 345.6 
L 460.8 345.6 
L 460.8 0 
L 0 0 
z
" style="fill:#ffffff;"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 57.6 307.584 
L 414.72 307.584 
L 414.72 41.472 
L 57.6 41.472 
z
" style="fill:#ffffff;"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path d="M 0 0 
L 0 3.5 
" id="m6a6e49a8ec" style="stroke:#000000;stroke-width:0.8;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="73.800255" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_1">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 73.800255, 322.182437)" x="73.800255" y="322.182437">0.0</text>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="138.744153" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_2">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 138.744153, 322.182437)" x="138.744153" y="322.182437">0.2</text>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_3">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="203.688051" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_3">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 203.688051, 322.182437)" x="203.688051" y="322.182437">0.4</text>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_4">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="268.631949" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_4">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 268.631949, 322.182437)" x="268.631949" y="322.182437">0.6</text>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_5">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="333.575847" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_5">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 333.575847, 322.182437)" x="333.575847" y="322.182437">0.8</text>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_6">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="398.519745" xlink:href="#m6a6e49a8ec" y="307.584"/>
      </g>
     </g>
     <g id="text_6">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 398.519745, 322.182437)" x="398.519745" y="322.182437">1.0</text>
     </g>
    </g>
    <g id="text_7">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 236.16, 335.860562)" x="236.16" y="335.860562">Input Coin's Heads Probability (λ)</text>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_7">
      <defs>
       <path d="M 0 0 
L -3.5 0 
" id="md65b091788" style="stroke:#000000;stroke-width:0.8;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#md65b091788" y="296.822043"/>
      </g>
     </g>
     <g id="text_8">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 300.621262)" x="50.6" y="300.621262">0</text>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_8">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#md65b091788" y="243.461646"/>
      </g>
     </g>
     <g id="text_9">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 247.260865)" x="50.6" y="247.260865">20</text>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_9">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#md65b091788" y="190.101249"/>
      </g>
     </g>
     <g id="text_10">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 193.900467)" x="50.6" y="193.900467">40</text>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_10">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#md65b091788" y="136.740851"/>
      </g>
     </g>
     <g id="text_11">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 140.54007)" x="50.6" y="140.54007">60</text>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_11">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#md65b091788" y="83.380454"/>
      </g>
     </g>
     <g id="text_12">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 87.179673)" x="50.6" y="87.179673">80</text>
     </g>
    </g>
    <g id="text_13">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-90, 31.795312, 174.528)" x="31.795312" y="174.528">Coin Flips Needed</text>
    </g>
   </g>
   <g id="line2d_12">
    <path clip-path="url(#p10aa022a1f)" d="M 73.832727 162.08704 
L 77.112066 289.550203 
L 80.391405 291.473316 
L 83.670744 292.3293 
L 86.950083 292.840493 
L 90.229421 293.189688 
L 93.50876 293.447611 
L 96.788099 293.648153 
L 100.067438 293.809855 
L 103.346777 293.943827 
L 106.626116 294.057184 
L 109.905455 294.154723 
L 113.184793 294.23981 
L 116.464132 294.314889 
L 119.743471 294.381777 
L 123.02281 294.441865 
L 126.302149 294.496231 
L 129.581488 294.54573 
L 132.860826 294.591047 
L 136.140165 294.632738 
L 139.419504 294.671265 
L 142.698843 294.707006 
L 145.978182 294.740284 
L 149.257521 294.771368 
L 152.53686 294.800489 
L 155.816198 294.827845 
L 159.095537 294.853608 
L 162.374876 294.877927 
L 165.654215 294.900932 
L 168.933554 294.922737 
L 172.212893 294.943442 
L 175.492231 294.963138 
L 178.77157 294.981903 
L 182.050909 294.99981 
L 185.330248 295.01692 
L 188.609587 295.033292 
L 191.888926 295.048977 
L 195.168264 295.064022 
L 198.447603 295.07847 
L 201.726942 295.092358 
L 205.006281 295.105722 
L 208.28562 295.118595 
L 211.564959 295.131005 
L 214.844298 295.142979 
L 218.123636 295.154543 
L 221.402975 295.16572 
L 224.682314 295.17653 
L 227.961653 295.186994 
L 231.240992 295.197128 
L 234.520331 295.206951 
L 237.799669 295.216478 
L 241.079008 295.225724 
L 244.358347 295.234701 
L 247.637686 295.243423 
L 250.917025 295.251902 
L 254.196364 295.260148 
L 257.475702 295.268173 
L 260.755041 295.275986 
L 264.03438 295.283595 
L 267.313719 295.291011 
L 270.593058 295.29824 
L 273.872397 295.305291 
L 277.151736 295.31217 
L 280.431074 295.318885 
L 283.710413 295.325443 
L 286.989752 295.331848 
L 290.269091 295.338107 
L 293.54843 295.344225 
L 296.827769 295.350209 
L 300.107107 295.356061 
L 303.386446 295.361788 
L 306.665785 295.367393 
L 309.945124 295.372881 
L 313.224463 295.378256 
L 316.503802 295.383522 
L 319.78314 295.388682 
L 323.062479 295.39374 
L 326.341818 295.398699 
L 329.621157 295.403562 
L 332.900496 295.408333 
L 336.179835 295.413014 
L 339.459174 295.417608 
L 342.738512 295.422118 
L 346.017851 295.426546 
L 349.29719 295.430894 
L 352.576529 295.435166 
L 355.855868 295.439363 
L 359.135207 295.443488 
L 362.414545 295.447542 
L 365.693884 295.451527 
L 368.973223 295.455446 
L 372.252562 295.4593 
L 375.531901 295.463091 
L 378.81124 295.466821 
L 382.090579 295.470491 
L 385.369917 295.474103 
L 388.649256 295.477659 
L 391.928595 295.481159 
L 395.207934 295.484606 
L 398.487273 295.488 
" style="fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;"/>
   </g>
   <g id="line2d_13">
    <path clip-path="url(#p10aa022a1f)" d="M 73.832727 53.568 
L 77.112066 265.371425 
L 80.391405 279.154416 
L 83.670744 281.790419 
L 86.950083 283.167118 
L 90.229421 284.522472 
L 93.50876 283.828787 
L 96.788099 286.822305 
L 100.067438 287.969553 
L 103.346777 287.708087 
L 106.626116 289.420956 
L 109.905455 288.673911 
L 113.184793 289.677086 
L 116.464132 289.61839 
L 119.743471 289.319571 
L 123.02281 290.434804 
L 126.302149 290.947064 
L 129.581488 289.778471 
L 132.860826 290.456148 
L 136.140165 290.781646 
L 139.419504 290.594885 
L 142.698843 291.256554 
L 145.978182 291.309914 
L 149.257521 291.405963 
L 152.53686 291.347267 
L 155.816198 291.640749 
L 159.095537 291.453987 
L 162.374876 291.656757 
L 165.654215 291.469995 
L 168.933554 292.046288 
L 172.212893 291.779486 
L 175.492231 291.832846 
L 178.77157 292.574556 
L 182.050909 292.425147 
L 185.330248 292.350442 
L 188.609587 292.558548 
L 191.888926 292.249057 
L 195.168264 292.5959 
L 198.447603 292.419811 
L 201.726942 292.750645 
L 205.006281 292.713293 
L 208.28562 292.601236 
L 211.564959 292.457163 
L 214.844298 293.140176 
L 218.123636 292.820013 
L 221.402975 292.90539 
L 224.682314 292.948078 
L 227.961653 292.996103 
L 231.240992 292.884046 
L 234.520331 293.033455 
L 237.799669 293.022783 
L 241.079008 293.246897 
L 244.358347 293.236225 
L 247.637686 293.097488 
L 250.917025 293.246897 
L 254.196364 293.305593 
L 257.475702 293.172192 
L 260.755041 293.310929 
L 264.03438 293.406978 
L 267.313719 293.348281 
L 270.593058 293.422986 
L 273.872397 293.412314 
L 277.151736 293.428322 
L 280.431074 293.545715 
L 283.710413 293.428322 
L 286.989752 293.476346 
L 290.269091 293.620419 
L 293.54843 293.689788 
L 296.827769 293.657772 
L 300.107107 293.705796 
L 303.386446 293.711132 
L 306.665785 293.6471 
L 309.945124 293.72714 
L 313.224463 293.6471 
L 316.503802 293.583067 
L 319.78314 293.796509 
L 323.062479 293.75382 
L 326.341818 293.807181 
L 329.621157 293.839197 
L 332.900496 293.855205 
L 336.179835 293.940582 
L 339.459174 293.855205 
L 342.738512 293.887221 
L 346.017851 293.961926 
L 349.29719 293.95659 
L 352.576529 293.919238 
L 355.855868 293.913902 
L 359.135207 293.993942 
L 362.414545 293.972598 
L 365.693884 293.972598 
L 368.973223 294.036631 
L 372.252562 294.052639 
L 375.531901 294.015286 
L 378.81124 294.073983 
L 382.090579 294.095327 
L 385.369917 294.122007 
L 388.649256 294.111335 
L 391.928595 294.116671 
L 395.207934 294.132679 
L 398.487273 294.154023 
" style="fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;"/>
   </g>
   <g id="patch_3">
    <path d="M 57.6 307.584 
L 57.6 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_4">
    <path d="M 414.72 307.584 
L 414.72 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_5">
    <path d="M 57.6 307.584 
L 414.72 307.584 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_6">
    <path d="M 57.6 41.472 
L 414.72 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="text_14">
    <text style="font-family:DejaVu Sans;font-size:12px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 236.16, 35.472)" x="236.16" y="35.472">Coin Flips for pow(x,2/4)</text>
   </g>
   <g id="legend_1">
    <g id="patch_7">
     <path d="M 219.784062 78.82825 
L 407.72 78.82825 
Q 409.72 78.82825 409.72 76.82825 
L 409.72 48.472 
Q 409.72 46.472 407.72 46.472 
L 219.784062 46.472 
Q 217.784062 46.472 217.784062 48.472 
L 217.784062 76.82825 
Q 217.784062 78.82825 219.784062 78.82825 
z
" style="fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;"/>
    </g>
    <g id="line2d_14">
     <path d="M 221.784062 54.570437 
L 241.784062 54.570437 
" style="fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;"/>
    </g>
    <g id="line2d_15"/>
    <g id="text_15">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:start;" transform="rotate(-0, 249.784062, 58.070437)" x="249.784062" y="58.070437">Coin Flip Lower Bound (Mendo)</text>
    </g>
    <g id="line2d_16">
     <path d="M 221.784062 69.248562 
L 241.784062 69.248562 
" style="fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;"/>
    </g>
    <g id="line2d_17"/>
    <g id="text_16">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:start;" transform="rotate(-0, 249.784062, 72.748562)" x="249.784062" y="72.748562">Avg. Coins Flipped pow(x,2/4)</text>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p10aa022a1f">
   <rect height="266.112" width="357.12" x="57.6" y="41.472"/>
  </clipPath>
 </defs>
</svg>