Notes/def_null_hyp.svg

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->

<svg
   xmlns:ns0="http://www.iki.fi/pav/software/textext/"
   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#"
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
   width="1052.3622"
   height="744.09448"
   id="svg3056"
   version="1.1"
   inkscape:version="0.48.4 r9939"
   sodipodi:docname="def_null_hyp.svg">
  <sodipodi:namedview
     id="base"
     pagecolor="#ffffff"
     bordercolor="#666666"
     borderopacity="1.0"
     inkscape:pageopacity="0.0"
     inkscape:pageshadow="2"
     inkscape:zoom="2.5960022"
     inkscape:cx="496.06041"
     inkscape:cy="388.94681"
     inkscape:document-units="px"
     inkscape:current-layer="g4533"
     showgrid="false"
     inkscape:window-width="1535"
     inkscape:window-height="876"
     inkscape:window-x="65"
     inkscape:window-y="24"
     inkscape:window-maximized="1"
     showguides="true"
     inkscape:guide-bbox="true" />
  <defs
     id="defs3058">
    <marker
       style="overflow:visible;"
       id="Arrow2Mend"
       refX="0.0"
       refY="0.0"
       orient="auto"
       inkscape:stockid="Arrow2Mend">
      <path
         transform="scale(0.6) rotate(180) translate(0,0)"
         d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
         style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round;"
         id="path3897" />
    </marker>
  </defs>
  <metadata
     id="metadata3061">
    <rdf:RDF>
      <cc:Work
         rdf:about="">
        <dc:format>image/svg+xml</dc:format>
        <dc:type
           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
        <dc:title />
      </cc:Work>
    </rdf:RDF>
  </metadata>
  <g
     transform="translate(0,-308.2677)"
     id="layer1"
     inkscape:groupmode="layer"
     inkscape:label="Calque 1">
    <path
       sodipodi:nodetypes="ccccc"
       inkscape:connector-curvature="0"
       id="path2993"
       d="m 671.66766,523.63849 c -86.77569,15.43316 -129.20019,6.7956 -211.4188,-0.0595 -50.16201,109.70762 -44.71691,120.20725 -139.79568,265.54317 87.41301,8.38161 147.60267,8.06631 216.47602,5.02274 79.68487,-132.33276 134.73846,-270.50642 134.73846,-270.50642 z"
       style="fill:#d7f4ee;stroke:#000000;stroke-width:1.14365602;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
    <path
       style="fill:#e6e6e6;stroke:none"
       d="m 504.01657,666.31785 c -13.50766,15.37971 -41.22097,42.24945 -58.5578,62.11702 4.72637,39.57966 128.08345,28.97543 117.13542,-1.88642 -10.00295,-15.34557 -42.41544,-38.77994 -58.57762,-60.2306 z"
       id="path3909-6"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cccc" />
    <g
       transform="translate(-144.14336,-96.839345)"
       id="g3817">
      <path
         sodipodi:nodetypes="cc"
         inkscape:connector-curvature="0"
         id="path4173-2-1-2"
         d="m 590.662,820.20556 57.35503,-58.19111"
         style="fill:none;stroke:#008000;stroke-width:1.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
      <path
         d="m 672,184.09448 c 0,35.34623 -71.63444,64 -160,64 -88.36556,0 -160,-28.65377 -160,-64 0,-35.34622 71.63444,-64 160,-64 88.36556,0 160,28.65378 160,64 z"
         sodipodi:ry="64"
         sodipodi:rx="160"
         sodipodi:cy="184.09448"
         sodipodi:cx="512"
         id="path3367-4-0-5"
         style="fill:none;stroke:none"
         sodipodi:type="arc"
         transform="matrix(0.37895888,0,0,-0.37895888,453.99008,898.21463)" />
      <path
         sodipodi:end="2.9370114"
         sodipodi:start="0.017657164"
         d="M 671.97506,185.22448 C 670.41485,220.5652 597.52679,248.70859 509.175,248.08451 434.4087,247.55639 370.52829,226.38396 355.33662,197.09654"
         sodipodi:ry="64"
         sodipodi:rx="160"
         sodipodi:cy="184.09448"
         sodipodi:cx="512"
         id="path3367-7-8-0-0"
         style="fill:none;stroke:#008000;stroke-width:3.95821309;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:23.74927855, 23.74927855;stroke-dashoffset:0"
         sodipodi:type="arc"
         transform="matrix(0.37380737,0,0,-0.36223607,456.9834,893.16935)"
         sodipodi:open="true" />
      <path
         sodipodi:open="true"
         sodipodi:end="12.336388"
         sodipodi:start="6.0600102"
         transform="matrix(0.11214915,0,0,0.11214915,600.01946,725.67665)"
         d="m 439.782,321.78783 c 1.51208,6.66245 -2.66312,13.28922 -9.32557,14.8013 -6.66245,1.51208 -13.28922,-2.66312 -14.8013,-9.32557 -1.51208,-6.66245 2.66312,-13.28922 9.32557,-14.8013 6.6304,-1.50481 13.23248,2.62351 14.78238,9.24351"
         sodipodi:ry="12.370221"
         sodipodi:rx="12.370221"
         sodipodi:cy="324.5257"
         sodipodi:cx="427.71857"
         id="path4966-9-1"
         style="fill:#008000;fill-opacity:1;stroke:none"
         sodipodi:type="arc" />
      <path
         sodipodi:open="true"
         sodipodi:end="9.764651"
         sodipodi:start="6.0754612"
         d="m 668.56045,170.89554 c 18.22394,34.58638 -37.09715,68.53355 -123.5631,75.82312 -86.46594,7.28958 -171.33386,-14.83886 -189.5578,-49.42524 -6.061,-11.50289 -4.08441,-23.4513 5.71293,-34.53445"
         sodipodi:ry="64"
         sodipodi:rx="160"
         sodipodi:cy="184.09448"
         sodipodi:cx="512"
         id="path3367-7-8-0-0-4"
         style="fill:none;stroke:#008000;stroke-width:3.95821309;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
         sodipodi:type="arc"
         transform="matrix(0.37497075,0,0,0.36241223,456.32049,761.45691)" />
      <path
         transform="matrix(0.37895888,0,0,0.37895888,454.38416,626.31616)"
         d="m 646.74464,149.58331 c 47.64999,29.76697 25.9507,69.34904 -48.46671,88.40903 -74.41741,19.05999 -173.37259,10.38028 -221.02257,-19.38669 -47.64999,-29.76696 -25.9507,-69.34903 48.46671,-88.40902 66.48275,-17.02775 154.07769,-12.11463 206.28826,11.57052"
         sodipodi:ry="64"
         sodipodi:rx="160"
         sodipodi:cy="184.09448"
         sodipodi:cx="512"
         id="path3367-8-2-9"
         style="fill:none;stroke:#008000;stroke-width:3.95821309;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:23.74927855, 23.74927855;stroke-dashoffset:0"
         sodipodi:type="arc"
         sodipodi:start="5.7136544"
         sodipodi:end="11.843734"
         sodipodi:open="true" />
    </g>
    <text
       sodipodi:linespacing="125%"
       id="text3036-5-1"
       y="732.56415"
       x="716.37946"
       style="font-size:12.12668419px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
       xml:space="preserve"><tspan
         y="732.56415"
         x="716.37946"
         id="tspan3038-6-4"
         sodipodi:role="line" /></text>
    <g
       ns0:preamble="/home/eric/BHLectures/Notes/latex_inkscape.ini"
       ns0:text="$\\bm{n}$"
       word-spacing="normal"
       letter-spacing="normal"
       font-size-adjust="none"
       font-stretch="normal"
       font-weight="normal"
       font-variant="normal"
       font-style="normal"
       stroke-miterlimit="10.433"
       xml:space="preserve"
       transform="matrix(4,0,0,-4,-336.87534,3394.3369)"
       id="content"
       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"><path
         id="path4521"
         d="m 226.22,710.86 -0.02,0.05 -0.01,0.04 -0.02,0.04 -0.02,0.05 -0.03,0.04 -0.02,0.03 -0.03,0.04 -0.03,0.04 -0.03,0.03 -0.03,0.04 -0.03,0.03 -0.04,0.03 -0.04,0.03 -0.03,0.02 -0.04,0.03 -0.05,0.02 -0.04,0.03 -0.04,0.02 -0.04,0.02 -0.05,0.02 -0.05,0.01 -0.04,0.02 -0.05,0.01 -0.05,0.02 -0.05,0.01 -0.05,0.01 -0.05,0.01 -0.04,0 -0.06,0.01 -0.05,0 -0.05,0 -0.05,0 c -0.36,0 -0.64,-0.2 -0.86,-0.56 -0.25,-0.4 -0.38,-0.94 -0.38,-0.98 0,-0.14 0.15,-0.14 0.24,-0.14 0.11,0 0.15,0 0.2,0.05 0.02,0.02 0.02,0.04 0.08,0.28 0.2,0.78 0.42,1 0.67,1 0.15,0 0.23,-0.1 0.23,-0.37 0,-0.17 -0.04,-0.33 -0.14,-0.73 -0.07,-0.27 -0.16,-0.67 -0.21,-0.89 l -0.36,-1.39 c -0.03,-0.14 -0.08,-0.33 -0.08,-0.4 0,-0.21 0.16,-0.43 0.47,-0.43 0.51,0 0.63,0.45 0.7,0.75 0.1,0.37 0.18,0.69 0.28,1.11 0.04,0.13 0.29,1.16 0.31,1.18 0.01,0.07 0.29,0.51 0.62,0.78 0.27,0.22 0.6,0.39 1.02,0.39 0.26,0 0.5,-0.1 0.5,-0.59 0,-0.57 -0.44,-1.73 -0.63,-2.22 -0.11,-0.27 -0.14,-0.34 -0.14,-0.51 0,-0.58 0.58,-0.89 1.12,-0.89 1.06,0 1.56,1.35 1.56,1.54 0,0.14 -0.15,0.14 -0.24,0.14 -0.12,0 -0.19,0 -0.23,-0.13 -0.33,-1.1 -0.87,-1.2 -1.02,-1.2 -0.07,0 -0.17,0 -0.17,0.21 0,0.23 0.1,0.48 0.2,0.73 0.15,0.4 0.61,1.57 0.61,2.12 0,0.92 -0.76,1.15 -1.48,1.15 -0.21,0 -0.94,0 -1.64,-0.75 z"
         inkscape:connector-curvature="0"
         style="fill:#000000;stroke-width:0" /></g>    <g
       ns0:preamble="/home/eric/BHLectures/Notes/latex_inkscape.ini"
       ns0:text="$\\Sigma$"
       word-spacing="normal"
       letter-spacing="normal"
       font-size-adjust="none"
       font-stretch="normal"
       font-weight="normal"
       font-variant="normal"
       font-style="normal"
       stroke-miterlimit="10.433"
       xml:space="preserve"
       transform="matrix(4,0,0,-4,-540.28811,3609.0898)"
       id="g4636"
       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:#008080;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"><path
         id="path4638"
         d="m 227.13,710.36 0.01,0.01 0,0 0.01,0.01 0,0 0,0.01 0.01,0 0,0 0,0.01 0.01,0 0,0.01 0,0 0.01,0.01 0.01,0.01 0,0 0,0.01 0.01,0.01 0,0 0,0.01 0.01,0 0,0.01 0,0 0,0.01 0.01,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0 0,0.01 0,0 0,0 0,0 0,0.01 0,0 0,0 c 0,0.05 -0.04,0.1 -0.07,0.14 l -2.04,2.94 h 2.3 c 1.68,0 2.18,-0.36 2.39,-1.93 h 0.25 l -0.28,2.24 h -5.52 c -0.24,0 -0.26,0 -0.26,-0.23 l 2.48,-3.59 -2.37,-2.7 c -0.1,-0.11 -0.1,-0.13 -0.1,-0.16 0,-0.11 0.1,-0.11 0.25,-0.11 h 5.52 l 0.28,2.35 h -0.25 c -0.18,-1.66 -0.86,-1.93 -2.42,-1.93 h -2.74 z"
         inkscape:connector-curvature="0"
         style="fill:#008080;stroke-width:0" /></g>    <path
       style="fill:#008000;stroke:#008000;stroke-width:1.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       d="M 562.03234,723.43081 505.99393,667.8633"
       id="path3003-3"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cc" />
    <path
       style="fill:#008000;stroke:#008000;stroke-width:1.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:9, 9;stroke-dashoffset:0"
       d="m 502.9235,665.05433 -55.7798,-57.4544"
       id="path3003-0"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cc" />
    <path
       style="fill:#008000;stroke:#008000;stroke-width:1.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:9,9;stroke-dashoffset:0"
       d="m 504.06185,665.24232 58.67521,-60.06099"
       id="path3003-35"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cc" />
    <path
       style="fill:#ffffff;stroke:none"
       d="m 528.84716,648.29994 c -352.56477,269.37483 -176.28239,134.68741 0,0 z"
       id="path3889-6"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cc" />
    <path
       inkscape:connector-curvature="0"
       id="path4312"
       d="M 504.31382,662.53171 547.22225,562.30724"
       style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
       sodipodi:nodetypes="cc" />
    <path
       style="fill:#008000;stroke:#008000;stroke-width:1.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:9, 9;stroke-dashoffset:0"
       d="m 487.54627,706.1316 16.07125,-41.27602"
       id="path3003-0-4"
       inkscape:connector-curvature="0"
       sodipodi:nodetypes="cc" />
    <path
       transform="matrix(0.59610707,0,0,0.59610707,405.97284,403.80718)"
       d="m 170.41851,438.59769 c 0,3.46984 -2.81286,6.28271 -6.28271,6.28271 -3.46984,0 -6.28271,-2.81287 -6.28271,-6.28271 0,-3.46985 2.81287,-6.28271 6.28271,-6.28271 3.46985,0 6.28271,2.81286 6.28271,6.28271 z"
       sodipodi:ry="6.2827106"
       sodipodi:rx="6.2827106"
       sodipodi:cy="438.59769"
       sodipodi:cx="164.1358"
       id="path3061-5"
       style="fill:#000000;fill-opacity:1;stroke:#000000;stroke-width:1;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
       sodipodi:type="arc" />
    <g
       transform="translate(-0.25839622,-0.57906249)"
       id="g4533">
      <path
         inkscape:connector-curvature="0"
         id="path4531"
         d="m 441.20329,797.0362 c 8.59933,-16.13247 16.82846,-32.23874 24.66863,-48.12265"
         style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
      <path
         inkscape:connector-curvature="0"
         id="path4529"
         d="m 465.87192,748.91355 c 14.23587,-28.84139 27.18935,-56.94968 38.74822,-83.15065"
         style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:1,3;stroke-dashoffset:0" />
      <path
         inkscape:connector-curvature="0"
         id="path4525"
         d="m 504.62014,665.7629 c 25.92579,-58.76709 44.83558,-107.93887 55.46293,-134.26572"
         style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0" />
    </g>
  </g>
</svg>