russell_lab/data/figures/algo_lorene_1d_pde_spectral_collocation.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">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="437.033554pt" height="290.011361pt" viewBox="0 0 437.033554 290.011361" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2024-04-14T11:44:24.155574</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.6.3, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 290.011361 
L 437.033554 290.011361 
L 437.033554 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 43.78125 252.455111 
L 429.833554 252.455111 
L 429.833554 22.318125 
L 43.78125 22.318125 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <path d="M 61.329082 252.455111 
L 61.329082 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_2">
      <defs>
       <path id="m735e0c3900" d="M 0 0 
L 0 3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m735e0c3900" x="61.329082" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <!-- −1.00 -->
      <g transform="translate(46.006426 267.053549) scale(0.1 -0.1)">
       <defs>
        <path id="DejaVuSans-2212" d="M 678 2272 
L 4684 2272 
L 4684 1741 
L 678 1741 
L 678 2272 
z
" transform="scale(0.015625)"/>
        <path id="DejaVuSans-31" d="M 794 531 
L 1825 531 
L 1825 4091 
L 703 3866 
L 703 4441 
L 1819 4666 
L 2450 4666 
L 2450 531 
L 3481 531 
L 3481 0 
L 794 0 
L 794 531 
z
" transform="scale(0.015625)"/>
        <path id="DejaVuSans-2e" d="M 684 794 
L 1344 794 
L 1344 0 
L 684 0 
L 684 794 
z
" transform="scale(0.015625)"/>
        <path id="DejaVuSans-30" d="M 2034 4250 
Q 1547 4250 1301 3770 
Q 1056 3291 1056 2328 
Q 1056 1369 1301 889 
Q 1547 409 2034 409 
Q 2525 409 2770 889 
Q 3016 1369 3016 2328 
Q 3016 3291 2770 3770 
Q 2525 4250 2034 4250 
z
M 2034 4750 
Q 2819 4750 3233 4129 
Q 3647 3509 3647 2328 
Q 3647 1150 3233 529 
Q 2819 -91 2034 -91 
Q 1250 -91 836 529 
Q 422 1150 422 2328 
Q 422 3509 836 4129 
Q 1250 4750 2034 4750 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#DejaVuSans-2212"/>
       <use xlink:href="#DejaVuSans-31" x="83.789062"/>
       <use xlink:href="#DejaVuSans-2e" x="147.412109"/>
       <use xlink:href="#DejaVuSans-30" x="179.199219"/>
       <use xlink:href="#DejaVuSans-30" x="242.822266"/>
      </g>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_3">
      <path d="M 105.198662 252.455111 
L 105.198662 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_4">
      <g>
       <use xlink:href="#m735e0c3900" x="105.198662" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- −0.75 -->
      <g transform="translate(89.876006 267.053549) scale(0.1 -0.1)">
       <defs>
        <path id="DejaVuSans-37" d="M 525 4666 
L 3525 4666 
L 3525 4397 
L 1831 0 
L 1172 0 
L 2766 4134 
L 525 4134 
L 525 4666 
z
" transform="scale(0.015625)"/>
        <path id="DejaVuSans-35" d="M 691 4666 
L 3169 4666 
L 3169 4134 
L 1269 4134 
L 1269 2991 
Q 1406 3038 1543 3061 
Q 1681 3084 1819 3084 
Q 2600 3084 3056 2656 
Q 3513 2228 3513 1497 
Q 3513 744 3044 326 
Q 2575 -91 1722 -91 
Q 1428 -91 1123 -41 
Q 819 9 494 109 
L 494 744 
Q 775 591 1075 516 
Q 1375 441 1709 441 
Q 2250 441 2565 725 
Q 2881 1009 2881 1497 
Q 2881 1984 2565 2268 
Q 2250 2553 1709 2553 
Q 1456 2553 1204 2497 
Q 953 2441 691 2322 
L 691 4666 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#DejaVuSans-2212"/>
       <use xlink:href="#DejaVuSans-30" x="83.789062"/>
       <use xlink:href="#DejaVuSans-2e" x="147.412109"/>
       <use xlink:href="#DejaVuSans-37" x="179.199219"/>
       <use xlink:href="#DejaVuSans-35" x="242.822266"/>
      </g>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_5">
      <path d="M 149.068242 252.455111 
L 149.068242 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_6">
      <g>
       <use xlink:href="#m735e0c3900" x="149.068242" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- −0.50 -->
      <g transform="translate(133.745586 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-2212"/>
       <use xlink:href="#DejaVuSans-30" x="83.789062"/>
       <use xlink:href="#DejaVuSans-2e" x="147.412109"/>
       <use xlink:href="#DejaVuSans-35" x="179.199219"/>
       <use xlink:href="#DejaVuSans-30" x="242.822266"/>
      </g>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_7">
      <path d="M 192.937822 252.455111 
L 192.937822 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_8">
      <g>
       <use xlink:href="#m735e0c3900" x="192.937822" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <!-- −0.25 -->
      <g transform="translate(177.615166 267.053549) scale(0.1 -0.1)">
       <defs>
        <path id="DejaVuSans-32" d="M 1228 531 
L 3431 531 
L 3431 0 
L 469 0 
L 469 531 
Q 828 903 1448 1529 
Q 2069 2156 2228 2338 
Q 2531 2678 2651 2914 
Q 2772 3150 2772 3378 
Q 2772 3750 2511 3984 
Q 2250 4219 1831 4219 
Q 1534 4219 1204 4116 
Q 875 4013 500 3803 
L 500 4441 
Q 881 4594 1212 4672 
Q 1544 4750 1819 4750 
Q 2544 4750 2975 4387 
Q 3406 4025 3406 3419 
Q 3406 3131 3298 2873 
Q 3191 2616 2906 2266 
Q 2828 2175 2409 1742 
Q 1991 1309 1228 531 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#DejaVuSans-2212"/>
       <use xlink:href="#DejaVuSans-30" x="83.789062"/>
       <use xlink:href="#DejaVuSans-2e" x="147.412109"/>
       <use xlink:href="#DejaVuSans-32" x="179.199219"/>
       <use xlink:href="#DejaVuSans-35" x="242.822266"/>
      </g>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_9">
      <path d="M 236.807402 252.455111 
L 236.807402 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_10">
      <g>
       <use xlink:href="#m735e0c3900" x="236.807402" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 0.00 -->
      <g transform="translate(225.674589 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-30" x="95.410156"/>
       <use xlink:href="#DejaVuSans-30" x="159.033203"/>
      </g>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_11">
      <path d="M 280.676982 252.455111 
L 280.676982 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_12">
      <g>
       <use xlink:href="#m735e0c3900" x="280.676982" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 0.25 -->
      <g transform="translate(269.544169 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-32" x="95.410156"/>
       <use xlink:href="#DejaVuSans-35" x="159.033203"/>
      </g>
     </g>
    </g>
    <g id="xtick_7">
     <g id="line2d_13">
      <path d="M 324.546562 252.455111 
L 324.546562 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_14">
      <g>
       <use xlink:href="#m735e0c3900" x="324.546562" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 0.50 -->
      <g transform="translate(313.413749 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-35" x="95.410156"/>
       <use xlink:href="#DejaVuSans-30" x="159.033203"/>
      </g>
     </g>
    </g>
    <g id="xtick_8">
     <g id="line2d_15">
      <path d="M 368.416142 252.455111 
L 368.416142 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_16">
      <g>
       <use xlink:href="#m735e0c3900" x="368.416142" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_8">
      <!-- 0.75 -->
      <g transform="translate(357.283329 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-37" x="95.410156"/>
       <use xlink:href="#DejaVuSans-35" x="159.033203"/>
      </g>
     </g>
    </g>
    <g id="xtick_9">
     <g id="line2d_17">
      <path d="M 412.285722 252.455111 
L 412.285722 22.318125 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_18">
      <g>
       <use xlink:href="#m735e0c3900" x="412.285722" y="252.455111" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_9">
      <!-- 1.00 -->
      <g transform="translate(401.152909 267.053549) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-31"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-30" x="95.410156"/>
       <use xlink:href="#DejaVuSans-30" x="159.033203"/>
      </g>
     </g>
    </g>
    <g id="text_10">
     <!-- $x$ -->
     <g transform="translate(233.807402 280.731674) scale(0.1 -0.1)">
      <defs>
       <path id="DejaVuSans-Oblique-78" d="M 3841 3500 
L 2234 1784 
L 3219 0 
L 2559 0 
L 1819 1388 
L 531 0 
L -166 0 
L 1556 1844 
L 641 3500 
L 1300 3500 
L 1972 2234 
L 3144 3500 
L 3841 3500 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#DejaVuSans-Oblique-78" transform="translate(0 0.3125)"/>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_19">
      <path d="M 43.78125 241.994339 
L 429.833554 241.994339 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_20">
      <defs>
       <path id="mfbcf66bf47" d="M 0 0 
L -3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#mfbcf66bf47" x="43.78125" y="241.994339" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 0.0 -->
      <g transform="translate(20.878125 245.793558) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-30" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_21">
      <path d="M 43.78125 195.242514 
L 429.833554 195.242514 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_22">
      <g>
       <use xlink:href="#mfbcf66bf47" x="43.78125" y="195.242514" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 0.1 -->
      <g transform="translate(20.878125 199.041733) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-31" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_23">
      <path d="M 43.78125 148.490689 
L 429.833554 148.490689 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_24">
      <g>
       <use xlink:href="#mfbcf66bf47" x="43.78125" y="148.490689" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 0.2 -->
      <g transform="translate(20.878125 152.289908) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-32" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_25">
      <path d="M 43.78125 101.738864 
L 429.833554 101.738864 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_26">
      <g>
       <use xlink:href="#mfbcf66bf47" x="43.78125" y="101.738864" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 0.3 -->
      <g transform="translate(20.878125 105.538083) scale(0.1 -0.1)">
       <defs>
        <path id="DejaVuSans-33" d="M 2597 2516 
Q 3050 2419 3304 2112 
Q 3559 1806 3559 1356 
Q 3559 666 3084 287 
Q 2609 -91 1734 -91 
Q 1441 -91 1130 -33 
Q 819 25 488 141 
L 488 750 
Q 750 597 1062 519 
Q 1375 441 1716 441 
Q 2309 441 2620 675 
Q 2931 909 2931 1356 
Q 2931 1769 2642 2001 
Q 2353 2234 1838 2234 
L 1294 2234 
L 1294 2753 
L 1863 2753 
Q 2328 2753 2575 2939 
Q 2822 3125 2822 3475 
Q 2822 3834 2567 4026 
Q 2313 4219 1838 4219 
Q 1578 4219 1281 4162 
Q 984 4106 628 3988 
L 628 4550 
Q 988 4650 1302 4700 
Q 1616 4750 1894 4750 
Q 2613 4750 3031 4423 
Q 3450 4097 3450 3541 
Q 3450 3153 3228 2886 
Q 3006 2619 2597 2516 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-33" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_27">
      <path d="M 43.78125 54.987039 
L 429.833554 54.987039 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_28">
      <g>
       <use xlink:href="#mfbcf66bf47" x="43.78125" y="54.987039" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_15">
      <!-- 0.4 -->
      <g transform="translate(20.878125 58.786258) scale(0.1 -0.1)">
       <defs>
        <path id="DejaVuSans-34" d="M 2419 4116 
L 825 1625 
L 2419 1625 
L 2419 4116 
z
M 2253 4666 
L 3047 4666 
L 3047 1625 
L 3713 1625 
L 3713 1100 
L 3047 1100 
L 3047 0 
L 2419 0 
L 2419 1100 
L 313 1100 
L 313 1709 
L 2253 4666 
z
" transform="scale(0.015625)"/>
       </defs>
       <use xlink:href="#DejaVuSans-30"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-34" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="text_16">
     <!-- $u(x)$ -->
     <g transform="translate(14.798438 147.436618) rotate(-90) scale(0.1 -0.1)">
      <defs>
       <path id="DejaVuSans-Oblique-75" d="M 428 1388 
L 838 3500 
L 1416 3500 
L 1006 1409 
Q 975 1256 961 1147 
Q 947 1038 947 966 
Q 947 700 1109 554 
Q 1272 409 1569 409 
Q 2031 409 2368 721 
Q 2706 1034 2809 1563 
L 3194 3500 
L 3769 3500 
L 3091 0 
L 2516 0 
L 2631 550 
Q 2388 244 2052 76 
Q 1716 -91 1338 -91 
Q 878 -91 622 161 
Q 366 413 366 863 
Q 366 956 381 1097 
Q 397 1238 428 1388 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-28" d="M 1984 4856 
Q 1566 4138 1362 3434 
Q 1159 2731 1159 2009 
Q 1159 1288 1364 580 
Q 1569 -128 1984 -844 
L 1484 -844 
Q 1016 -109 783 600 
Q 550 1309 550 2009 
Q 550 2706 781 3412 
Q 1013 4119 1484 4856 
L 1984 4856 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-29" d="M 513 4856 
L 1013 4856 
Q 1481 4119 1714 3412 
Q 1947 2706 1947 2009 
Q 1947 1309 1714 600 
Q 1481 -109 1013 -844 
L 513 -844 
Q 928 -128 1133 580 
Q 1338 1288 1338 2009 
Q 1338 2731 1133 3434 
Q 928 4138 513 4856 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#DejaVuSans-Oblique-75" transform="translate(0 0.125)"/>
      <use xlink:href="#DejaVuSans-28" transform="translate(63.378906 0.125)"/>
      <use xlink:href="#DejaVuSans-Oblique-78" transform="translate(102.392578 0.125)"/>
      <use xlink:href="#DejaVuSans-29" transform="translate(161.572266 0.125)"/>
     </g>
    </g>
   </g>
   <g id="line2d_29">
    <path d="M 61.329082 241.994339 
L 71.857781 233.972959 
L 82.38648 225.627194 
L 92.91518 216.958868 
L 103.443879 207.972707 
L 113.972578 198.676876 
L 124.501277 189.083589 
L 135.029976 179.209817 
L 147.313459 167.36632 
L 159.596941 155.219041 
L 175.38999 139.255409 
L 222.769136 90.99927 
L 233.297836 80.770818 
L 242.071752 72.582771 
L 249.090884 66.319159 
L 256.110017 60.368989 
L 261.374367 56.148029 
L 266.638716 52.164833 
L 271.903066 48.449294 
L 277.167416 45.033615 
L 282.431765 41.952469 
L 285.941332 40.102531 
L 289.450898 38.429538 
L 292.960464 36.94581 
L 296.470031 35.664275 
L 299.979597 34.598491 
L 303.489164 33.762678 
L 306.99873 33.171747 
L 310.508296 32.841327 
L 314.017863 32.787799 
L 317.527429 33.02833 
L 321.036995 33.580905 
L 324.546562 34.464365 
L 328.056128 35.698441 
L 331.565695 37.303797 
L 335.075261 39.302068 
L 338.584827 41.715904 
L 342.094394 44.569011 
L 345.60396 47.8862 
L 349.113527 51.693434 
L 352.623093 56.017877 
L 356.132659 60.887945 
L 359.642226 66.333363 
L 363.151792 72.38522 
L 366.661359 79.076026 
L 370.170925 86.439776 
L 373.680491 94.512011 
L 377.190058 103.329887 
L 380.699624 112.932241 
L 384.209191 123.359666 
L 387.718757 134.654586 
L 391.228323 146.861331 
L 394.73789 160.026222 
L 398.247456 174.197653 
L 401.757023 189.426183 
L 405.266589 205.764623 
L 408.776155 223.268138 
L 412.285722 241.994339 
L 412.285722 241.994339 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke: #1f77b4; stroke-opacity: 0.35; stroke-width: 7; stroke-linecap: square"/>
   </g>
   <g id="line2d_30">
    <path d="M 61.329082 241.994339 
L 71.857781 233.972959 
L 82.38648 225.627194 
L 92.91518 216.958868 
L 103.443879 207.972707 
L 113.972578 198.676876 
L 124.501277 189.083589 
L 135.029976 179.209817 
L 147.313459 167.36632 
L 159.596941 155.219041 
L 175.38999 139.255409 
L 222.769136 90.99927 
L 233.297836 80.770818 
L 242.071752 72.582771 
L 249.090884 66.319159 
L 256.110017 60.368989 
L 261.374367 56.148029 
L 266.638716 52.164833 
L 271.903066 48.449294 
L 277.167416 45.033615 
L 282.431765 41.952469 
L 285.941332 40.102531 
L 289.450898 38.429538 
L 292.960464 36.94581 
L 296.470031 35.664275 
L 299.979597 34.598491 
L 303.489164 33.762678 
L 306.99873 33.171747 
L 310.508296 32.841327 
L 314.017863 32.787799 
L 317.527429 33.02833 
L 321.036995 33.580905 
L 324.546562 34.464365 
L 328.056128 35.698441 
L 331.565695 37.303797 
L 335.075261 39.302068 
L 338.584827 41.715904 
L 342.094394 44.569011 
L 345.60396 47.8862 
L 349.113527 51.693434 
L 352.623093 56.017877 
L 356.132659 60.887945 
L 359.642226 66.333363 
L 363.151792 72.38522 
L 366.661359 79.076026 
L 370.170925 86.439776 
L 373.680491 94.512011 
L 377.190058 103.329887 
L 380.699624 112.932241 
L 384.209191 123.359666 
L 387.718757 134.654586 
L 391.228323 146.861331 
L 394.73789 160.026222 
L 398.247456 174.197653 
L 401.757023 189.426183 
L 405.266589 205.764623 
L 408.776155 223.268138 
L 412.285722 241.994339 
L 412.285722 241.994339 
" clip-path="url(#pe5ff89a432)" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="line2d_31">
    <defs>
     <path id="m9d17cc8d28" d="M 0 3 
C 0.795609 3 1.55874 2.683901 2.12132 2.12132 
C 2.683901 1.55874 3 0.795609 3 0 
C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 
C 1.55874 -2.683901 0.795609 -3 0 -3 
C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 
C -2.683901 -1.55874 -3 -0.795609 -3 0 
C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 
C -1.55874 2.683901 -0.795609 3 0 3 
z
" style="stroke: #ff0000"/>
    </defs>
    <g clip-path="url(#pe5ff89a432)">
     <use xlink:href="#m9d17cc8d28" x="61.329082" y="241.994339" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="64.700849" y="239.460844" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="74.686574" y="231.762505" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="90.902511" y="218.640668" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="112.725492" y="199.793741" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="139.316871" y="175.114202" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="169.654756" y="145.08897" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="202.57328" y="111.375336" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="236.807402" y="77.453289" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="271.041524" y="49.037727" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="303.960048" y="33.668832" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="334.297933" y="38.824457" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="360.889312" y="68.412713" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="382.712293" y="118.808582" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="398.92823" y="177.067383" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="408.913955" y="223.979957" style="fill-opacity: 0; stroke: #ff0000"/>
     <use xlink:href="#m9d17cc8d28" x="412.285722" y="241.994339" style="fill-opacity: 0; stroke: #ff0000"/>
    </g>
   </g>
   <g id="patch_3">
    <path d="M 43.78125 252.455111 
L 43.78125 22.318125 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_4">
    <path d="M 429.833554 252.455111 
L 429.833554 22.318125 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_5">
    <path d="M 43.78125 252.455111 
L 429.833554 252.455111 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 43.78125 22.318125 
L 429.833554 22.318125 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_17">
    <!-- N = 16, error = 1.9E-15 -->
    <g transform="translate(165.531152 16.318125) scale(0.12 -0.12)">
     <defs>
      <path id="DejaVuSans-4e" d="M 628 4666 
L 1478 4666 
L 3547 763 
L 3547 4666 
L 4159 4666 
L 4159 0 
L 3309 0 
L 1241 3903 
L 1241 0 
L 628 0 
L 628 4666 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-20" transform="scale(0.015625)"/>
      <path id="DejaVuSans-3d" d="M 678 2906 
L 4684 2906 
L 4684 2381 
L 678 2381 
L 678 2906 
z
M 678 1631 
L 4684 1631 
L 4684 1100 
L 678 1100 
L 678 1631 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-36" d="M 2113 2584 
Q 1688 2584 1439 2293 
Q 1191 2003 1191 1497 
Q 1191 994 1439 701 
Q 1688 409 2113 409 
Q 2538 409 2786 701 
Q 3034 994 3034 1497 
Q 3034 2003 2786 2293 
Q 2538 2584 2113 2584 
z
M 3366 4563 
L 3366 3988 
Q 3128 4100 2886 4159 
Q 2644 4219 2406 4219 
Q 1781 4219 1451 3797 
Q 1122 3375 1075 2522 
Q 1259 2794 1537 2939 
Q 1816 3084 2150 3084 
Q 2853 3084 3261 2657 
Q 3669 2231 3669 1497 
Q 3669 778 3244 343 
Q 2819 -91 2113 -91 
Q 1303 -91 875 529 
Q 447 1150 447 2328 
Q 447 3434 972 4092 
Q 1497 4750 2381 4750 
Q 2619 4750 2861 4703 
Q 3103 4656 3366 4563 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-2c" d="M 750 794 
L 1409 794 
L 1409 256 
L 897 -744 
L 494 -744 
L 750 256 
L 750 794 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-65" d="M 3597 1894 
L 3597 1613 
L 953 1613 
Q 991 1019 1311 708 
Q 1631 397 2203 397 
Q 2534 397 2845 478 
Q 3156 559 3463 722 
L 3463 178 
Q 3153 47 2828 -22 
Q 2503 -91 2169 -91 
Q 1331 -91 842 396 
Q 353 884 353 1716 
Q 353 2575 817 3079 
Q 1281 3584 2069 3584 
Q 2775 3584 3186 3129 
Q 3597 2675 3597 1894 
z
M 3022 2063 
Q 3016 2534 2758 2815 
Q 2500 3097 2075 3097 
Q 1594 3097 1305 2825 
Q 1016 2553 972 2059 
L 3022 2063 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-72" d="M 2631 2963 
Q 2534 3019 2420 3045 
Q 2306 3072 2169 3072 
Q 1681 3072 1420 2755 
Q 1159 2438 1159 1844 
L 1159 0 
L 581 0 
L 581 3500 
L 1159 3500 
L 1159 2956 
Q 1341 3275 1631 3429 
Q 1922 3584 2338 3584 
Q 2397 3584 2469 3576 
Q 2541 3569 2628 3553 
L 2631 2963 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-6f" d="M 1959 3097 
Q 1497 3097 1228 2736 
Q 959 2375 959 1747 
Q 959 1119 1226 758 
Q 1494 397 1959 397 
Q 2419 397 2687 759 
Q 2956 1122 2956 1747 
Q 2956 2369 2687 2733 
Q 2419 3097 1959 3097 
z
M 1959 3584 
Q 2709 3584 3137 3096 
Q 3566 2609 3566 1747 
Q 3566 888 3137 398 
Q 2709 -91 1959 -91 
Q 1206 -91 779 398 
Q 353 888 353 1747 
Q 353 2609 779 3096 
Q 1206 3584 1959 3584 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-39" d="M 703 97 
L 703 672 
Q 941 559 1184 500 
Q 1428 441 1663 441 
Q 2288 441 2617 861 
Q 2947 1281 2994 2138 
Q 2813 1869 2534 1725 
Q 2256 1581 1919 1581 
Q 1219 1581 811 2004 
Q 403 2428 403 3163 
Q 403 3881 828 4315 
Q 1253 4750 1959 4750 
Q 2769 4750 3195 4129 
Q 3622 3509 3622 2328 
Q 3622 1225 3098 567 
Q 2575 -91 1691 -91 
Q 1453 -91 1209 -44 
Q 966 3 703 97 
z
M 1959 2075 
Q 2384 2075 2632 2365 
Q 2881 2656 2881 3163 
Q 2881 3666 2632 3958 
Q 2384 4250 1959 4250 
Q 1534 4250 1286 3958 
Q 1038 3666 1038 3163 
Q 1038 2656 1286 2365 
Q 1534 2075 1959 2075 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-45" d="M 628 4666 
L 3578 4666 
L 3578 4134 
L 1259 4134 
L 1259 2753 
L 3481 2753 
L 3481 2222 
L 1259 2222 
L 1259 531 
L 3634 531 
L 3634 0 
L 628 0 
L 628 4666 
z
" transform="scale(0.015625)"/>
      <path id="DejaVuSans-2d" d="M 313 2009 
L 1997 2009 
L 1997 1497 
L 313 1497 
L 313 2009 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#DejaVuSans-4e"/>
     <use xlink:href="#DejaVuSans-20" x="74.804688"/>
     <use xlink:href="#DejaVuSans-3d" x="106.591797"/>
     <use xlink:href="#DejaVuSans-20" x="190.380859"/>
     <use xlink:href="#DejaVuSans-31" x="222.167969"/>
     <use xlink:href="#DejaVuSans-36" x="285.791016"/>
     <use xlink:href="#DejaVuSans-2c" x="349.414062"/>
     <use xlink:href="#DejaVuSans-20" x="381.201172"/>
     <use xlink:href="#DejaVuSans-65" x="412.988281"/>
     <use xlink:href="#DejaVuSans-72" x="474.511719"/>
     <use xlink:href="#DejaVuSans-72" x="513.875"/>
     <use xlink:href="#DejaVuSans-6f" x="552.738281"/>
     <use xlink:href="#DejaVuSans-72" x="613.919922"/>
     <use xlink:href="#DejaVuSans-20" x="655.033203"/>
     <use xlink:href="#DejaVuSans-3d" x="686.820312"/>
     <use xlink:href="#DejaVuSans-20" x="770.609375"/>
     <use xlink:href="#DejaVuSans-31" x="802.396484"/>
     <use xlink:href="#DejaVuSans-2e" x="866.019531"/>
     <use xlink:href="#DejaVuSans-39" x="897.806641"/>
     <use xlink:href="#DejaVuSans-45" x="961.429688"/>
     <use xlink:href="#DejaVuSans-2d" x="1024.613281"/>
     <use xlink:href="#DejaVuSans-31" x="1060.697266"/>
     <use xlink:href="#DejaVuSans-35" x="1124.320312"/>
    </g>
   </g>
   <g id="legend_1">
    <g id="patch_7">
     <path d="M 50.78125 59.674375 
L 142.64375 59.674375 
Q 144.64375 59.674375 144.64375 57.674375 
L 144.64375 29.318125 
Q 144.64375 27.318125 142.64375 27.318125 
L 50.78125 27.318125 
Q 48.78125 27.318125 48.78125 29.318125 
L 48.78125 57.674375 
Q 48.78125 59.674375 50.78125 59.674375 
z
" style="fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter"/>
    </g>
    <g id="line2d_32">
     <path d="M 52.78125 35.416563 
L 67.78125 35.416563 
L 82.78125 35.416563 
" style="fill: none; stroke: #1f77b4; stroke-opacity: 0.35; stroke-width: 7; stroke-linecap: square"/>
    </g>
    <g id="text_18">
     <!-- analytical -->
     <g transform="translate(90.78125 38.916563) scale(0.1 -0.1)">
      <defs>
       <path id="DejaVuSans-61" d="M 2194 1759 
Q 1497 1759 1228 1600 
Q 959 1441 959 1056 
Q 959 750 1161 570 
Q 1363 391 1709 391 
Q 2188 391 2477 730 
Q 2766 1069 2766 1631 
L 2766 1759 
L 2194 1759 
z
M 3341 1997 
L 3341 0 
L 2766 0 
L 2766 531 
Q 2569 213 2275 61 
Q 1981 -91 1556 -91 
Q 1019 -91 701 211 
Q 384 513 384 1019 
Q 384 1609 779 1909 
Q 1175 2209 1959 2209 
L 2766 2209 
L 2766 2266 
Q 2766 2663 2505 2880 
Q 2244 3097 1772 3097 
Q 1472 3097 1187 3025 
Q 903 2953 641 2809 
L 641 3341 
Q 956 3463 1253 3523 
Q 1550 3584 1831 3584 
Q 2591 3584 2966 3190 
Q 3341 2797 3341 1997 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-6e" d="M 3513 2113 
L 3513 0 
L 2938 0 
L 2938 2094 
Q 2938 2591 2744 2837 
Q 2550 3084 2163 3084 
Q 1697 3084 1428 2787 
Q 1159 2491 1159 1978 
L 1159 0 
L 581 0 
L 581 3500 
L 1159 3500 
L 1159 2956 
Q 1366 3272 1645 3428 
Q 1925 3584 2291 3584 
Q 2894 3584 3203 3211 
Q 3513 2838 3513 2113 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-6c" d="M 603 4863 
L 1178 4863 
L 1178 0 
L 603 0 
L 603 4863 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-79" d="M 2059 -325 
Q 1816 -950 1584 -1140 
Q 1353 -1331 966 -1331 
L 506 -1331 
L 506 -850 
L 844 -850 
Q 1081 -850 1212 -737 
Q 1344 -625 1503 -206 
L 1606 56 
L 191 3500 
L 800 3500 
L 1894 763 
L 2988 3500 
L 3597 3500 
L 2059 -325 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-74" d="M 1172 4494 
L 1172 3500 
L 2356 3500 
L 2356 3053 
L 1172 3053 
L 1172 1153 
Q 1172 725 1289 603 
Q 1406 481 1766 481 
L 2356 481 
L 2356 0 
L 1766 0 
Q 1100 0 847 248 
Q 594 497 594 1153 
L 594 3053 
L 172 3053 
L 172 3500 
L 594 3500 
L 594 4494 
L 1172 4494 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-69" d="M 603 3500 
L 1178 3500 
L 1178 0 
L 603 0 
L 603 3500 
z
M 603 4863 
L 1178 4863 
L 1178 4134 
L 603 4134 
L 603 4863 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-63" d="M 3122 3366 
L 3122 2828 
Q 2878 2963 2633 3030 
Q 2388 3097 2138 3097 
Q 1578 3097 1268 2742 
Q 959 2388 959 1747 
Q 959 1106 1268 751 
Q 1578 397 2138 397 
Q 2388 397 2633 464 
Q 2878 531 3122 666 
L 3122 134 
Q 2881 22 2623 -34 
Q 2366 -91 2075 -91 
Q 1284 -91 818 406 
Q 353 903 353 1747 
Q 353 2603 823 3093 
Q 1294 3584 2113 3584 
Q 2378 3584 2631 3529 
Q 2884 3475 3122 3366 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#DejaVuSans-61"/>
      <use xlink:href="#DejaVuSans-6e" x="61.279297"/>
      <use xlink:href="#DejaVuSans-61" x="124.658203"/>
      <use xlink:href="#DejaVuSans-6c" x="185.9375"/>
      <use xlink:href="#DejaVuSans-79" x="213.720703"/>
      <use xlink:href="#DejaVuSans-74" x="272.900391"/>
      <use xlink:href="#DejaVuSans-69" x="312.109375"/>
      <use xlink:href="#DejaVuSans-63" x="339.892578"/>
      <use xlink:href="#DejaVuSans-61" x="394.873047"/>
      <use xlink:href="#DejaVuSans-6c" x="456.152344"/>
     </g>
    </g>
    <g id="line2d_33">
     <path d="M 52.78125 50.094688 
L 67.78125 50.094688 
L 82.78125 50.094688 
" style="fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square"/>
    </g>
    <g id="text_19">
     <!-- numerical -->
     <g transform="translate(90.78125 53.594688) scale(0.1 -0.1)">
      <defs>
       <path id="DejaVuSans-75" d="M 544 1381 
L 544 3500 
L 1119 3500 
L 1119 1403 
Q 1119 906 1312 657 
Q 1506 409 1894 409 
Q 2359 409 2629 706 
Q 2900 1003 2900 1516 
L 2900 3500 
L 3475 3500 
L 3475 0 
L 2900 0 
L 2900 538 
Q 2691 219 2414 64 
Q 2138 -91 1772 -91 
Q 1169 -91 856 284 
Q 544 659 544 1381 
z
M 1991 3584 
L 1991 3584 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-6d" d="M 3328 2828 
Q 3544 3216 3844 3400 
Q 4144 3584 4550 3584 
Q 5097 3584 5394 3201 
Q 5691 2819 5691 2113 
L 5691 0 
L 5113 0 
L 5113 2094 
Q 5113 2597 4934 2840 
Q 4756 3084 4391 3084 
Q 3944 3084 3684 2787 
Q 3425 2491 3425 1978 
L 3425 0 
L 2847 0 
L 2847 2094 
Q 2847 2600 2669 2842 
Q 2491 3084 2119 3084 
Q 1678 3084 1418 2786 
Q 1159 2488 1159 1978 
L 1159 0 
L 581 0 
L 581 3500 
L 1159 3500 
L 1159 2956 
Q 1356 3278 1631 3431 
Q 1906 3584 2284 3584 
Q 2666 3584 2933 3390 
Q 3200 3197 3328 2828 
z
" transform="scale(0.015625)"/>
      </defs>
      <use xlink:href="#DejaVuSans-6e"/>
      <use xlink:href="#DejaVuSans-75" x="63.378906"/>
      <use xlink:href="#DejaVuSans-6d" x="126.757812"/>
      <use xlink:href="#DejaVuSans-65" x="224.169922"/>
      <use xlink:href="#DejaVuSans-72" x="285.693359"/>
      <use xlink:href="#DejaVuSans-69" x="326.806641"/>
      <use xlink:href="#DejaVuSans-63" x="354.589844"/>
      <use xlink:href="#DejaVuSans-61" x="409.570312"/>
      <use xlink:href="#DejaVuSans-6c" x="470.849609"/>
     </g>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pe5ff89a432">
   <rect x="43.78125" y="22.318125" width="386.052304" height="230.136986"/>
  </clipPath>
 </defs>
</svg>