russell_lab/data/figures/math_plot_functions_smooth_ramp_deriv2.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="408.504744pt" height="259.550771pt" viewBox="0 0 408.504744 259.550771" 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>2024-04-26T18:24:34.745688</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 0 259.550771 
L 408.504744 259.550771 
L 408.504744 0 
L 0 0 
z
" style="fill: #ffffff"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 51.503125 221.994521 
L 401.304744 221.994521 
L 401.304744 7.2 
L 51.503125 7.2 
z
" style="fill: #ffffff"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <path d="M 67.403199 221.994521 
L 67.403199 7.2 
" clip-path="url(#pcb66036d68)" 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="m415d334a82" d="M 0 0 
L 0 3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m415d334a82" x="67.403199" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_1">
      <!-- −1.00 -->
      <g transform="translate(52.080542 236.592958) 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 107.153383 221.994521 
L 107.153383 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="107.153383" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- −0.75 -->
      <g transform="translate(91.830726 236.592958) 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 146.903567 221.994521 
L 146.903567 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="146.903567" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- −0.50 -->
      <g transform="translate(131.58091 236.592958) 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 186.653751 221.994521 
L 186.653751 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="186.653751" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_4">
      <!-- −0.25 -->
      <g transform="translate(171.331094 236.592958) 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 226.403935 221.994521 
L 226.403935 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="226.403935" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_5">
      <!-- 0.00 -->
      <g transform="translate(215.271122 236.592958) 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 266.154119 221.994521 
L 266.154119 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="266.154119" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_6">
      <!-- 0.25 -->
      <g transform="translate(255.021306 236.592958) 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 305.904303 221.994521 
L 305.904303 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="305.904303" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_7">
      <!-- 0.50 -->
      <g transform="translate(294.77149 236.592958) 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 345.654487 221.994521 
L 345.654487 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="345.654487" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_8">
      <!-- 0.75 -->
      <g transform="translate(334.521674 236.592958) 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 385.404671 221.994521 
L 385.404671 7.2 
" clip-path="url(#pcb66036d68)" 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="#m415d334a82" x="385.404671" y="221.994521" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_9">
      <!-- 1.00 -->
      <g transform="translate(374.271858 236.592958) 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(223.403935 250.271083) 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 51.503125 212.266597 
L 401.304744 212.266597 
" clip-path="url(#pcb66036d68)" 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="m824a4cfe54" d="M 0 0 
L -3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m824a4cfe54" x="51.503125" y="212.266597" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_11">
      <!-- 0.0 -->
      <g transform="translate(28.6 216.065816) 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 51.503125 173.205955 
L 401.304744 173.205955 
" clip-path="url(#pcb66036d68)" 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="#m824a4cfe54" x="51.503125" y="173.205955" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_12">
      <!-- 0.5 -->
      <g transform="translate(28.6 177.005174) 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"/>
      </g>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_23">
      <path d="M 51.503125 134.145313 
L 401.304744 134.145313 
" clip-path="url(#pcb66036d68)" 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="#m824a4cfe54" x="51.503125" y="134.145313" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_13">
      <!-- 1.0 -->
      <g transform="translate(28.6 137.944532) 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"/>
      </g>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_25">
      <path d="M 51.503125 95.084671 
L 401.304744 95.084671 
" clip-path="url(#pcb66036d68)" 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="#m824a4cfe54" x="51.503125" y="95.084671" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_14">
      <!-- 1.5 -->
      <g transform="translate(28.6 98.88389) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-31"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-35" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_27">
      <path d="M 51.503125 56.024029 
L 401.304744 56.024029 
" clip-path="url(#pcb66036d68)" 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="#m824a4cfe54" x="51.503125" y="56.024029" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_15">
      <!-- 2.0 -->
      <g transform="translate(28.6 59.823248) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-32"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-30" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_29">
      <path d="M 51.503125 16.963387 
L 401.304744 16.963387 
" clip-path="url(#pcb66036d68)" style="fill: none; stroke-dasharray: 2.96,1.28; stroke-dashoffset: 0; stroke: #808080; stroke-width: 0.8"/>
     </g>
     <g id="line2d_30">
      <g>
       <use xlink:href="#m824a4cfe54" x="51.503125" y="16.963387" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_16">
      <!-- 2.5 -->
      <g transform="translate(28.6 20.762606) scale(0.1 -0.1)">
       <use xlink:href="#DejaVuSans-32"/>
       <use xlink:href="#DejaVuSans-2e" x="63.623047"/>
       <use xlink:href="#DejaVuSans-35" x="95.410156"/>
      </g>
     </g>
    </g>
    <g id="text_17">
     <!-- $\frac{d^2\mathrm{SmoothRamp}(x)}{dx^2}$ -->
     <g transform="translate(19.4 147.89726) rotate(-90) scale(0.1 -0.1)">
      <defs>
       <path id="DejaVuSans-Oblique-64" d="M 2675 525 
Q 2444 222 2128 65 
Q 1813 -91 1428 -91 
Q 903 -91 598 267 
Q 294 625 294 1247 
Q 294 1766 478 2236 
Q 663 2706 1013 3078 
Q 1244 3325 1534 3454 
Q 1825 3584 2144 3584 
Q 2481 3584 2739 3421 
Q 2997 3259 3138 2956 
L 3513 4863 
L 4091 4863 
L 3144 0 
L 2566 0 
L 2675 525 
z
M 891 1350 
Q 891 897 1095 644 
Q 1300 391 1663 391 
Q 1931 391 2161 520 
Q 2391 650 2566 903 
Q 2750 1166 2856 1509 
Q 2963 1853 2963 2188 
Q 2963 2622 2758 2865 
Q 2553 3109 2194 3109 
Q 1922 3109 1687 2981 
Q 1453 2853 1288 2613 
Q 1106 2353 998 2009 
Q 891 1666 891 1350 
z
" transform="scale(0.015625)"/>
       <path id="DejaVuSans-53" d="M 3425 4513 
L 3425 3897 
Q 3066 4069 2747 4153 
Q 2428 4238 2131 4238 
Q 1616 4238 1336 4038 
Q 1056 3838 1056 3469 
Q 1056 3159 1242 3001 
Q 1428 2844 1947 2747 
L 2328 2669 
Q 3034 2534 3370 2195 
Q 3706 1856 3706 1288 
Q 3706 609 3251 259 
Q 2797 -91 1919 -91 
Q 1588 -91 1214 -16 
Q 841 59 441 206 
L 441 856 
Q 825 641 1194 531 
Q 1563 422 1919 422 
Q 2459 422 2753 634 
Q 3047 847 3047 1241 
Q 3047 1584 2836 1778 
Q 2625 1972 2144 2069 
L 1759 2144 
Q 1053 2284 737 2584 
Q 422 2884 422 3419 
Q 422 4038 858 4394 
Q 1294 4750 2059 4750 
Q 2388 4750 2728 4690 
Q 3069 4631 3425 4513 
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)"/>
       <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-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-68" 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 4863 
L 1159 4863 
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-52" d="M 2841 2188 
Q 3044 2119 3236 1894 
Q 3428 1669 3622 1275 
L 4263 0 
L 3584 0 
L 2988 1197 
Q 2756 1666 2539 1819 
Q 2322 1972 1947 1972 
L 1259 1972 
L 1259 0 
L 628 0 
L 628 4666 
L 2053 4666 
Q 2853 4666 3247 4331 
Q 3641 3997 3641 3322 
Q 3641 2881 3436 2590 
Q 3231 2300 2841 2188 
z
M 1259 4147 
L 1259 2491 
L 2053 2491 
Q 2509 2491 2742 2702 
Q 2975 2913 2975 3322 
Q 2975 3731 2742 3939 
Q 2509 4147 2053 4147 
L 1259 4147 
z
" transform="scale(0.015625)"/>
       <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-70" d="M 1159 525 
L 1159 -1331 
L 581 -1331 
L 581 3500 
L 1159 3500 
L 1159 2969 
Q 1341 3281 1617 3432 
Q 1894 3584 2278 3584 
Q 2916 3584 3314 3078 
Q 3713 2572 3713 1747 
Q 3713 922 3314 415 
Q 2916 -91 2278 -91 
Q 1894 -91 1617 61 
Q 1341 213 1159 525 
z
M 3116 1747 
Q 3116 2381 2855 2742 
Q 2594 3103 2138 3103 
Q 1681 3103 1420 2742 
Q 1159 2381 1159 1747 
Q 1159 1113 1420 752 
Q 1681 391 2138 391 
Q 2594 391 2855 752 
Q 3116 1113 3116 1747 
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-64" transform="translate(0 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-32" transform="translate(49.64699 85.632812) scale(0.49)"/>
      <use xlink:href="#DejaVuSans-53" transform="translate(82.736345 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-6d" transform="translate(127.169939 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-6f" transform="translate(195.358415 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-6f" transform="translate(238.185564 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-74" transform="translate(281.012712 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-68" transform="translate(308.459001 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-52" transform="translate(352.824236 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-61" transform="translate(401.461931 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-6d" transform="translate(444.357439 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-70" transform="translate(512.545915 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-28" transform="translate(556.979509 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-Oblique-78" transform="translate(584.289079 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-29" transform="translate(625.714861 58.835938) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-Oblique-64" transform="translate(265 -50.135937) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-Oblique-78" transform="translate(309.433594 -50.135937) scale(0.7)"/>
      <use xlink:href="#DejaVuSans-32" transform="translate(353.985677 -23.339062) scale(0.49)"/>
      <path d="M 0 19.278125 
L 0 25.528125 
L 653.024431 25.528125 
L 653.024431 19.278125 
L 0 19.278125 
z
"/>
     </g>
    </g>
   </g>
   <g id="line2d_31">
    <path d="M 67.403199 212.231133 
L 70.583213 212.223282 
L 73.763228 212.213694 
L 76.943243 212.201983 
L 80.123258 212.18768 
L 83.303272 212.170212 
L 86.483287 212.148878 
L 89.663302 212.122824 
L 92.843316 212.091007 
L 96.023331 212.052152 
L 99.203346 212.004705 
L 102.383361 211.946769 
L 105.563375 211.876029 
L 108.74339 211.789662 
L 111.923405 211.684225 
L 115.103419 211.555521 
L 118.283434 211.398437 
L 121.463449 211.206746 
L 124.643464 210.97287 
L 127.823478 210.687595 
L 131.003493 210.339728 
L 134.183508 209.915689 
L 137.363523 209.399025 
L 140.543537 208.769844 
L 143.723552 208.004144 
L 146.903567 207.07305 
L 150.083581 205.941942 
L 153.263596 204.569492 
L 156.443611 202.906623 
L 159.623626 200.895451 
L 162.80364 198.468264 
L 165.983655 195.546704 
L 169.16367 192.041314 
L 172.343684 187.851768 
L 175.523699 182.868176 
L 178.703714 176.97401 
L 181.883729 170.051328 
L 185.063743 161.989067 
L 188.243758 152.695213 
L 191.423773 142.113427 
L 194.603788 130.24426 
L 197.783802 117.170074 
L 200.963817 103.081328 
L 204.143832 88.299918 
L 207.323846 73.293176 
L 210.503861 58.67083 
L 213.683876 45.157596 
L 216.863891 33.537411 
L 220.043905 24.571818 
L 223.22392 18.903473 
L 226.403935 16.963387 
L 229.583949 18.903473 
L 232.763964 24.571818 
L 235.943979 33.537411 
L 239.123994 45.157596 
L 242.304008 58.67083 
L 245.484023 73.293176 
L 248.664038 88.299918 
L 251.844053 103.081328 
L 255.024067 117.170074 
L 258.204082 130.24426 
L 261.384097 142.113427 
L 264.564111 152.695213 
L 267.744126 161.989067 
L 270.924141 170.051328 
L 274.104156 176.97401 
L 277.28417 182.868176 
L 280.464185 187.851768 
L 283.6442 192.041314 
L 286.824214 195.546704 
L 290.004229 198.468264 
L 293.184244 200.895451 
L 296.364259 202.906623 
L 299.544273 204.569492 
L 302.724288 205.941942 
L 305.904303 207.07305 
L 309.084318 208.004144 
L 312.264332 208.769844 
L 315.444347 209.399025 
L 318.624362 209.915689 
L 321.804376 210.339728 
L 324.984391 210.687595 
L 328.164406 210.97287 
L 331.344421 211.206746 
L 334.524435 211.398437 
L 337.70445 211.555521 
L 340.884465 211.684225 
L 344.064479 211.789662 
L 347.244494 211.876029 
L 350.424509 211.946769 
L 353.604524 212.004705 
L 356.784538 212.052152 
L 359.964553 212.091007 
L 363.144568 212.122824 
L 366.324583 212.148878 
L 369.504597 212.170212 
L 372.684612 212.18768 
L 375.864627 212.201983 
L 379.044641 212.213694 
L 382.224656 212.223282 
L 385.404671 212.231133 
" clip-path="url(#pcb66036d68)" style="fill: none; stroke: #1f77b4; stroke-width: 2.5; stroke-linecap: square"/>
   </g>
   <g id="patch_3">
    <path d="M 51.503125 221.994521 
L 51.503125 7.2 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_4">
    <path d="M 401.304744 221.994521 
L 401.304744 7.2 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_5">
    <path d="M 51.503125 221.994521 
L 401.304744 221.994521 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 51.503125 7.2 
L 401.304744 7.2 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_18">
    <g id="patch_7">
     <path d="M 63.403199 151.963506 
L 102.803199 151.963506 
L 102.803199 134.163506 
L 63.403199 134.163506 
z
" style="fill: #ffc0cb; stroke: #000000; stroke-linejoin: miter"/>
    </g>
    <!-- $\beta = 10$ -->
    <g transform="translate(67.403199 145.863506) scale(0.1 -0.1)">
     <defs>
      <path id="DejaVuSans-Oblique-3b2" d="M 872 216 
L 572 -1331 
L -6 -1331 
L 928 3478 
Q 1206 4903 2538 4903 
Q 3888 4903 3659 3700 
Q 3503 2844 2894 2531 
Q 3713 2250 3553 1416 
Q 3272 -69 1759 -66 
Q 1097 -63 872 216 
z
M 1019 966 
Q 1259 422 1875 425 
Q 2775 425 2966 1406 
Q 3138 2288 1675 2219 
L 1778 2750 
Q 2909 2731 3106 3750 
Q 3241 4438 2509 4434 
Q 1691 4434 1503 3459 
L 1019 966 
z
" 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)"/>
     </defs>
     <use xlink:href="#DejaVuSans-Oblique-3b2" transform="translate(0 0.390625)"/>
     <use xlink:href="#DejaVuSans-3d" transform="translate(83.300781 0.390625)"/>
     <use xlink:href="#DejaVuSans-31" transform="translate(186.572266 0.390625)"/>
     <use xlink:href="#DejaVuSans-30" transform="translate(250.195312 0.390625)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="pcb66036d68">
   <rect x="51.503125" y="7.2" width="349.801619" height="214.794521"/>
  </clipPath>
 </defs>
</svg>