joshua
/
bsc-thesis
Archived
1
0
Fork 0
Code Releases Activity
Browse Source

Presentation: Added more images, for homology slides

master
Joshua Moerman 12 years ago
parent
58e9bf8fda
commit
cad8a92fb7
7 changed files with 801 additions and 27 deletions
Whitespace
Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL
Split View
Diff Options
Show Stats Download Patch File Download Diff File
  1. 12
      images/singular_chaincomplex.svg
  2. 760
      images/singular_homology.svg
  3. BIN
      images/singular_homology1.pdf
  4. BIN
      images/singular_homology2.pdf
  5. BIN
      images/singular_homology3.pdf
  6. 40
      presentation/presentation.tex
  7. 16
      presentation/symbols.tex

12
images/singular_chaincomplex.svg
View File

@ -23,7 +23,7 @@
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
@ -948,7 +948,7 @@
inkscape:groupmode="layer"
id="layer1"
inkscape:label="Slide+1"
style="display:inline"
style="display:none"
transform="translate(-29.327251,-82.926998)">
<path
style="fill:#00c800;fill-opacity:1;stroke:none"
@ -968,7 +968,7 @@
style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
<path
transform="matrix(1.33334,0,0,1.33334,-84.315838,-52.574382)"
d="m 305.33713,145.42989 c 0,0.82842 -0.67158,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67158 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82842,0 1.5,0.67157 1.5,1.5 z"
d="m 305.33713,145.42989 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
sodipodi:ry="1.5"
sodipodi:rx="1.5"
sodipodi:cy="145.42989"
@ -978,7 +978,7 @@
sodipodi:type="arc" />
<path
transform="matrix(1.33334,0,0,1.33334,-82.719951,-55.260161)"
d="m 300.54956,153.48706 c 0,0.82843 -0.67157,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67157 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82843,0 1.5,0.67157 1.5,1.5 z"
d="m 300.54956,153.48706 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
sodipodi:ry="1.5"
sodipodi:rx="1.5"
sodipodi:cy="153.48706"
@ -988,7 +988,7 @@
sodipodi:type="arc" />
<path
transform="matrix(0.66667,0,0,0.66667,118.24326,44.37936)"
d="m 305.33713,145.42989 c 0,0.82842 -0.67158,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67158 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82842,0 1.5,0.67157 1.5,1.5 z"
d="m 305.33713,145.42989 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
sodipodi:ry="1.5"
sodipodi:rx="1.5"
sodipodi:cy="145.42989"
@ -998,7 +998,7 @@
sodipodi:type="arc" />
<path
transform="matrix(0.66667,0,0,0.66667,116.64742,47.065058)"
d="m 300.54956,153.48706 c 0,0.82843 -0.67157,1.5 -1.5,1.5 -0.82843,0 -1.5,-0.67157 -1.5,-1.5 0,-0.82843 0.67157,-1.5 1.5,-1.5 0.82843,0 1.5,0.67157 1.5,1.5 z"
d="m 300.54956,153.48706 a 1.5,1.5 0 1 1 -3,0 1.5,1.5 0 1 1 3,0 z"
sodipodi:ry="1.5"
sodipodi:rx="1.5"
sodipodi:cy="153.48706"

Side by Side Swipe Overlay

Before

Width:  |  Height:  |  Size: 70 KiB

After

Width:  |  Height:  |  Size: 70 KiB

760
images/singular_homology.svg
View File

@ -0,0 +1,760 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<svg
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="83.665024"
height="74.236137"
viewBox="0 0 66.932022 59.38891"
version="1.1"
id="svg4191"
inkscape:version="0.48.2 r9819"
sodipodi:docname="singular_homology.svg">
<metadata
id="metadata4602">
<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></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<sodipodi:namedview
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1"
objecttolerance="10"
gridtolerance="10"
guidetolerance="10"
inkscape:pageopacity="0"
inkscape:pageshadow="2"
inkscape:window-width="1285"
inkscape:window-height="759"
id="namedview4600"
showgrid="false"
inkscape:zoom="5.068455"
inkscape:cx="39.804383"
inkscape:cy="25.106684"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="0"
inkscape:current-layer="layer4"
fit-margin-left="1"
fit-margin-bottom="1"
fit-margin-right="1"
fit-margin-top="1" />
<defs
id="defs4193">
<g
id="g4195">
<symbol
overflow="visible"
id="glyph0-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4198"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-1"
style="overflow:visible">
<path
style="stroke:none"
d="M 1.328125,-9.953125 1.328125,0 5.03125,0 c 2.03125,0 3.5,-1.296875 3.5,-2.703125 0,-1.25 -1.25,-2.28125 -2.71875,-2.5 1.671875,-0.46875 2.328125,-1.421875 2.328125,-2.25 0,-1.296875 -1.46875,-2.5 -3.5,-2.5 l -3.3125,0 z M 2.5,-5.609375 l 0,-3.546875 1.765625,0 c 1.53125,0 2.765625,0.765625 2.765625,1.71875 0,1 -1.234375,1.828125 -2.75,1.828125 l -1.78125,0 z m 0,4.8125 0,-3.953125 1.90625,0 c 1.84375,0 3,1.03125 3,2.03125 0,1.015625 -1.171875,1.921875 -2.765625,1.921875 l -2.140625,0 z m 0,0"
id="path4201"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-2"
style="overflow:visible">
<path
style="stroke:none"
d="m 5.84375,-3.234375 c 0,-0.609375 -0.0625,-1.484375 -0.515625,-2.25 -0.59375,-0.984375 -1.59375,-1.09375 -2.015625,-1.09375 -1.546875,0 -2.84375,1.484375 -2.84375,3.34375 0,1.90625 1.375,3.375 3.046875,3.375 0.65625,0 1.453125,-0.1875 2.234375,-0.75 0,-0.0625 -0.046875,-0.515625 -0.046875,-0.53125 -0.015625,-0.015625 -0.03125,-0.34375 -0.03125,-0.390625 -0.859375,0.71875 -1.703125,0.8125 -2.125,0.8125 -1.109375,0 -2.0625,-0.984375 -2.078125,-2.515625 l 4.375,0 z M 1.546875,-4 c 0.25,-0.96875 0.921875,-1.71875 1.765625,-1.71875 0.453125,0 1.4375,0.203125 1.671875,1.71875 l -3.4375,0 z m 0,0"
id="path4204"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-3"
style="overflow:visible">
<path
style="stroke:none"
d="M 3.90625,-3.921875 6.25,-6.375 l -1.3125,0 -2.765625,2.890625 0,-6.46875 -1.046875,0 0,9.953125 1,0 0,-2.0625 L 3.21875,-3.203125 5.390625,0 6.5625,0 3.90625,-3.921875 z m 0,0"
id="path4207"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-4"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.265625,-9.734375 -1.234375,0 0,1.234375 1.234375,0 0,-1.234375 z M 2.1875,-6.375 l -1.0625,0 0,6.375 1.0625,0 0,-6.375 z m 0,0"
id="path4210"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-5"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.5625,-9.734375 -1.234375,0 0,1.234375 1.234375,0 0,-1.234375 z M -0.890625,2.4375 c 0.453125,0.28125 1.03125,0.484375 1.6875,0.484375 0.90625,0 1.765625,-0.734375 1.765625,-2.078125 l 0,-7.21875 -1.0625,0 0,7.359375 c 0,0.984375 -0.875,1.03125 -1.078125,1.03125 -0.5625,0 -0.953125,-0.28125 -1.09375,-0.4375 L -0.890625,2.4375 z m 0,0"
id="path4213"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-6"
style="overflow:visible">
<path
style="stroke:none"
d="m 6.5,-9.953125 -1.3125,0 L 0.59375,0 11.109375,0 6.5,-9.953125 z M 4.75,-6.65625 C 5.25,-7.796875 5.546875,-8.453125 5.703125,-8.921875 5.84375,-8.578125 6,-8.203125 6.21875,-7.65625 6.390625,-7.265625 6.671875,-6.640625 6.75,-6.46875 l 2.453125,5.3125 -6.984375,0 2.53125,-5.5 z m 0,0"
id="path4216"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-7"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.53125,-0.015625 0,-1.140625 -1.171875,0 0,1.15625 0.359375,0 -0.359375,1.796875 0.578125,0 0.59375,-1.8125 z m 0,0"
id="path4219"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-8"
style="overflow:visible">
<path
style="stroke:none"
d="m 6.0625,-9.953125 -1.0625,0 0,4.1875 c -0.65625,-0.546875 -1.40625,-0.75 -2.015625,-0.75 C 1.625,-6.515625 0.5,-5.046875 0.5,-3.1875 c 0,1.859375 1.0625,3.328125 2.421875,3.328125 0.53125,0 1.34375,-0.171875 2.0625,-0.875 l 0,0.734375 1.078125,0 0,-9.953125 z M 4.984375,-1.6875 C 4.640625,-1.078125 4.125,-0.71875 3.5,-0.71875 c -0.875,0 -1.90625,-0.671875 -1.90625,-2.453125 0,-1.90625 1.21875,-2.484375 2.046875,-2.484375 0.5625,0 1.015625,0.296875 1.34375,0.765625 l 0,3.203125 z m 0,0"
id="path4222"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-9"
style="overflow:visible">
<path
style="stroke:none"
d="m 9.328125,-6.375 -1.046875,0 -0.859375,2.921875 C 7.21875,-2.765625 6.8125,-1.421875 6.75,-0.796875 l -0.015625,0 C 6.703125,-1.140625 6.46875,-2.109375 6.171875,-3.125 l -0.953125,-3.25 -0.984375,0 -0.828125,2.8125 c -0.25,0.890625 -0.59375,2.125 -0.640625,2.734375 l -0.015625,0 c -0.015625,-0.28125 -0.171875,-1.03125 -0.4375,-2 L 1.296875,-6.375 l -1.09375,0 L 2.125,0 3.234375,0 c 0.53125,-1.8125 1.375,-4.53125 1.453125,-5.53125 l 0.015625,0 c 0.03125,0.578125 0.3125,1.609375 0.421875,1.953125 L 6.140625,0 7.40625,0 9.328125,-6.375 z m 0,0"
id="path4225"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-10"
style="overflow:visible">
<path
style="stroke:none"
d="m 5.59375,-5.8125 0,-0.5625 -5,0 0,0.859375 1.9375,0 c 0.171875,0 0.34375,-0.015625 0.515625,-0.015625 l 1.078125,0 -3.734375,4.953125 0,0.578125 5.25,0 0,-0.875 -2.0625,0 c -0.171875,0 -0.34375,0.015625 -0.515625,0.015625 l -1.21875,0 3.75,-4.953125 z m 0,0"
id="path4228"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-11"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.53125,-1.15625 -1.171875,0 0,1.15625 1.171875,0 0,-1.15625 z m 0,0"
id="path4231"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-12"
style="overflow:visible">
<path
style="stroke:none"
d="m 4.21875,-9.703125 -0.28125,0 c -0.21875,0.234375 -0.90625,0.90625 -2.453125,0.9375 -0.203125,0 -0.21875,0.015625 -0.21875,0.28125 l 0,0.5625 c 0.875,0 1.53125,-0.21875 1.828125,-0.34375 l 0,7.4375 -1.75,0 0,0.828125 4.625,0 0,-0.828125 -1.75,0 0,-8.875 z m 0,0"
id="path4234"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-13"
style="overflow:visible">
<path
style="stroke:none"
d="m 0.703125,-0.90625 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.703125 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.828125 1.96875,-3.140625 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.359375 0.453125,0.578125 0.453125,0.609375 0.578125,0.78125 0.359375,-1.546875 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.203125 0,0.75 -0.296875,1.578125 -1.25,2.515625 l -3.203125,3.1875 z m 0,0"
id="path4237"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph0-14"
style="overflow:visible">
<path
style="stroke:none"
d="M 1.28125,-7.34375 C 1.640625,-8.265625 2.515625,-8.875 3.46875,-8.875 c 0.734375,0 1.421875,0.40625 1.421875,1.34375 0,0.96875 -0.65625,1.75 -1.4375,1.921875 -0.0625,0.015625 -0.96875,0.09375 -1.109375,0.09375 l 0,0.875 1.015625,0 c 1.46875,0 1.828125,1.25 1.828125,2.046875 0,1.15625 -0.703125,2.03125 -1.734375,2.03125 C 2.53125,-0.5625 1.40625,-1.015625 0.75,-2.046875 l -0.15625,0.84375 c 0.921875,1.28125 2.1875,1.5 2.890625,1.5 1.671875,0 2.9375,-1.359375 2.9375,-2.875 0,-1.109375 -0.734375,-2.078125 -1.953125,-2.5 1.015625,-0.546875 1.5625,-1.5 1.5625,-2.453125 0,-1.234375 -1.15625,-2.171875 -2.546875,-2.171875 -1.140625,0 -2.171875,0.640625 -2.703125,1.578125 l 0.5,0.78125 z m 0,0"
id="path4240"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph1-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4243"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph1-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 4.96875,-3.03125 c 0.0625,-0.28125 0.0625,-0.359375 0.0625,-0.5 0,-0.609375 -0.296875,-1 -1.09375,-1 -0.625,0 -1.1875,0.296875 -1.609375,0.75 l 0.15625,-0.703125 -0.71875,0 L 0.8125,0 1.578125,0 2.0625,-2.265625 c 0.234375,-1.09375 0.703125,-1.65625 1.359375,-1.65625 0.46875,0 0.8125,0.15625 0.8125,0.65625 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 L 3.5625,0 l 0.78125,0 0.625,-3.03125 z m 0,0"
id="path4246"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph1-2"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.578125,-3.84375 1.09375,0 0.109375,-0.578125 -1.125,0 0.265625,-1.234375 c 0.09375,-0.5 0.59375,-0.765625 1.09375,-0.765625 0.125,0 0.4375,0.015625 0.765625,0.171875 l 0.140625,-0.671875 c -0.25,-0.0625 -0.515625,-0.109375 -0.765625,-0.109375 -0.984375,0 -1.8125,0.765625 -2,1.65625 l -0.21875,0.953125 -0.734375,0 -0.109375,0.578125 0.734375,0 L 1,0 1.75,0 2.578125,-3.84375 z m 0,0"
id="path4249"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph2-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4252"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph2-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 9.453125,-3.296875 c 0.25,0 0.5,0 0.5,-0.28125 0,-0.296875 -0.25,-0.296875 -0.5,-0.296875 l -7.765625,0 c -0.234375,0 -0.5,0 -0.5,0.296875 0,0.28125 0.265625,0.28125 0.5,0.28125 l 7.765625,0 z m 0,0"
id="path4255"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph2-2"
style="overflow:visible">
<path
style="stroke:none"
d="m 11.96875,-3.296875 c -0.796875,0.59375 -1.1875,1.1875 -1.296875,1.375 -0.640625,0.984375 -0.765625,1.890625 -0.765625,1.90625 0,0.171875 0.171875,0.171875 0.296875,0.171875 0.234375,0 0.25,-0.03125 0.3125,-0.28125 0.328125,-1.40625 1.171875,-2.609375 2.796875,-3.28125 0.171875,-0.046875 0.21875,-0.078125 0.21875,-0.171875 0,-0.109375 -0.09375,-0.15625 -0.125,-0.171875 -0.625,-0.234375 -2.359375,-0.953125 -2.90625,-3.359375 -0.04687,-0.171875 -0.0625,-0.21875 -0.296875,-0.21875 -0.125,0 -0.296875,0 -0.296875,0.171875 0,0.03125 0.140625,0.9375 0.734375,1.890625 0.296875,0.4375 0.703125,0.9375 1.328125,1.390625 l -10.65625,0 c -0.265625,0 -0.53125,0 -0.53125,0.296875 0,0.28125 0.265625,0.28125 0.53125,0.28125 l 10.65625,0 z m 0,0"
id="path4258"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph3-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4261"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph3-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 6.234375,-5.25 4.359375,-4.703125 -1.328125,0 -3.40625,3.75 -1.921875,-3.75 -1.421875,0 L 5.046875,-5.25 0.203125,0 1.515625,0 5.46875,-4.390625 7.625,0 9.0625,0 6.234375,-5.25 z m 0,0"
id="path4264"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4267"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 3.96875,-5.171875 c 0,-0.59375 -0.5,-1.09375 -1.09375,-1.09375 -0.609375,0 -1.09375,0.5 -1.09375,1.09375 0,0.609375 0.484375,1.109375 1.09375,1.109375 0.59375,0 1.09375,-0.5 1.09375,-1.109375 z m 0,0"
id="path4270"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-2"
style="overflow:visible">
<path
style="stroke:none"
d="m 13.609375,-4.75 c 0.359375,0 0.71875,0 0.71875,-0.421875 0,-0.40625 -0.359375,-0.40625 -0.71875,-0.40625 l -11.171875,0 c -0.34375,0 -0.71875,0 -0.71875,0.40625 0,0.421875 0.375,0.421875 0.71875,0.421875 l 11.171875,0 z m 0,0"
id="path4273"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-3"
style="overflow:visible">
<path
style="stroke:none"
d="m 17.234375,-4.75 c -1.140625,0.859375 -1.703125,1.71875 -1.859375,1.984375 -0.9375,1.421875 -1.09375,2.71875 -1.09375,2.75 0,0.25 0.234375,0.25 0.40625,0.25 0.34375,0 0.375,-0.046875 0.453125,-0.421875 0.46875,-2.015625 1.6875,-3.765625 4.03125,-4.703125 0.25,-0.09375 0.3125,-0.125 0.3125,-0.28125 0,-0.140625 -0.125,-0.203125 -0.171875,-0.21875 C 18.40625,-5.75 15.90625,-6.78125 15.125,-10.25 c -0.0625,-0.25 -0.09375,-0.3125 -0.4375,-0.3125 -0.171875,0 -0.40625,0 -0.40625,0.25 0,0.04687 0.171875,1.34375 1.046875,2.734375 0.40625,0.609375 1.015625,1.34375 1.90625,2 l -15.359375,0 c -0.359375,0 -0.734375,0 -0.734375,0.40625 0,0.421875 0.375,0.421875 0.734375,0.421875 l 15.359375,0 z m 0,0"
id="path4276"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-4"
style="overflow:visible">
<path
style="stroke:none"
d="m 5.84375,-12.75 c 0,-0.828125 0.53125,-2.140625 2.796875,-2.28125 C 8.734375,-15.0625 8.8125,-15.140625 8.8125,-15.265625 8.8125,-15.5 8.65625,-15.5 8.421875,-15.5 c -2.0625,0 -3.9375,1.0625 -3.953125,2.59375 l 0,4.703125 c 0,0.8125 0,1.46875 -0.828125,2.15625 -0.734375,0.59375 -1.515625,0.640625 -1.96875,0.65625 -0.109375,0.015625 -0.1875,0.109375 -0.1875,0.21875 0,0.21875 0.125,0.21875 0.328125,0.234375 1.375,0.078125 2.359375,0.828125 2.59375,1.84375 0.0625,0.21875 0.0625,0.265625 0.0625,1 l 0,4.09375 c 0,0.875 0,1.53125 0.984375,2.3125 0.8125,0.625 2.171875,0.859375 2.96875,0.859375 0.234375,0 0.390625,0 0.390625,-0.234375 C 8.8125,4.734375 8.703125,4.734375 8.484375,4.703125 7.1875,4.625 6.171875,3.96875 5.90625,2.90625 5.84375,2.734375 5.84375,2.6875 5.84375,1.9375 l 0,-4.328125 c 0,-0.953125 -0.15625,-1.3125 -0.828125,-1.96875 C 4.578125,-4.796875 3.984375,-5 3.40625,-5.171875 5.109375,-5.640625 5.84375,-6.59375 5.84375,-7.78125 l 0,-4.96875 z m 0,0"
id="path4279"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-5"
style="overflow:visible">
<path
style="stroke:none"
d="M 4.46875,2.421875 C 4.46875,3.25 3.921875,4.5625 1.671875,4.703125 1.5625,4.734375 1.484375,4.8125 1.484375,4.9375 c 0,0.234375 0.234375,0.234375 0.421875,0.234375 2,0 3.921875,-1.015625 3.9375,-2.59375 l 0,-4.703125 c 0,-0.8125 0,-1.46875 0.828125,-2.15625 C 7.390625,-4.875 8.1875,-4.921875 8.640625,-4.9375 8.734375,-4.953125 8.8125,-5.046875 8.8125,-5.171875 8.8125,-5.375 8.703125,-5.375 8.484375,-5.390625 7.125,-5.46875 6.140625,-6.21875 5.90625,-7.234375 c -0.0625,-0.21875 -0.0625,-0.265625 -0.0625,-1 l 0,-4.09375 c 0,-0.875 0,-1.53125 -0.984375,-2.3125 C 4.03125,-15.28125 2.609375,-15.5 1.90625,-15.5 c -0.1875,0 -0.421875,0 -0.421875,0.234375 0,0.203125 0.125,0.203125 0.328125,0.234375 1.3125,0.07813 2.3125,0.734375 2.59375,1.796875 0.0625,0.171875 0.0625,0.21875 0.0625,0.96875 l 0,4.328125 c 0,0.953125 0.15625,1.3125 0.8125,1.96875 0.4375,0.4375 1.046875,0.640625 1.625,0.796875 -1.703125,0.484375 -2.4375,1.4375 -2.4375,2.625 l 0,4.96875 z m 0,0"
id="path4282"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-6"
style="overflow:visible">
<path
style="stroke:none"
d="m 1.96875,-4.75 c 0.125,0 0.578125,0 0.578125,-0.421875 0,-0.40625 -0.453125,-0.40625 -0.578125,-0.40625 l 0,-2.703125 c 0,-0.328125 0,-0.71875 -0.421875,-0.71875 -0.40625,0 -0.40625,0.390625 -0.40625,0.71875 l 0,6.234375 c 0,0.328125 0,0.71875 0.40625,0.71875 0.421875,0 0.421875,-0.390625 0.421875,-0.71875 l 0,-2.703125 z m 0,0"
id="path4285"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph4-7"
style="overflow:visible">
<path
style="stroke:none"
d="m 13.609375,-12.3125 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.421875 -0.359375,-0.421875 -0.71875,-0.421875 l -5.546875,0 c -3.5625,0 -6.34375,2.703125 -6.34375,5.96875 0,3.328125 2.84375,6 6.34375,6 l 5.546875,0 c 0.359375,0 0.71875,0 0.71875,-0.421875 C 14.328125,-2 13.96875,-2 13.609375,-2 L 8.09375,-2 c -3.265625,0 -5.546875,-2.421875 -5.546875,-5.140625 0,-2.8125 2.34375,-5.171875 5.546875,-5.171875 l 5.515625,0 z M 2.84375,2 C 2.5,2 2.125,2 2.125,2.421875 c 0,0.40625 0.375,0.40625 0.71875,0.40625 l 10.765625,0 c 0.359375,0 0.71875,0 0.71875,-0.40625 C 14.328125,2 13.96875,2 13.609375,2 L 2.84375,2 z m 0,0"
id="path4288"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph5-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4291"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph5-1"
style="overflow:visible">
<path
style="stroke:none"
d="M 6.515625,-4.796875 C 6.421875,-5.59375 5.921875,-6.5625 4.640625,-6.5625 c -2.03125,0 -4.09375,2.0625 -4.09375,4.34375 0,0.875 0.59375,2.515625 2.546875,2.515625 3.390625,0 4.84375,-4.9375 4.84375,-6.890625 0,-2.0625 -1.171875,-3.65625 -3,-3.65625 -2.078125,0 -2.703125,1.8125 -2.703125,2.203125 0,0.125 0.09375,0.4375 0.484375,0.4375 0.515625,0 0.71875,-0.453125 0.71875,-0.703125 C 3.4375,-8.75 3,-8.75 2.8125,-8.75 3.40625,-9.8125 4.484375,-9.90625 4.875,-9.90625 c 1.265625,0 2.0625,1 2.0625,2.609375 0,0.90625 -0.265625,1.96875 -0.40625,2.5 l -0.015625,0 z m -3.375,4.703125 c -1.34375,0 -1.578125,-1.046875 -1.578125,-1.65625 0,-0.625 0.40625,-2.109375 0.625,-2.640625 0.171875,-0.421875 1,-1.875 2.484375,-1.875 1.3125,0 1.609375,1.125 1.609375,1.90625 0,1.0625 -0.9375,4.265625 -3.140625,4.265625 z m 0,0"
id="path4294"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph6-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4297"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph6-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 0.578125,-0.75 0,0.75 4.6875,0 0,-0.8125 -2.140625,0 c -0.140625,0 -0.28125,0.015625 -0.421875,0.015625 l -1.28125,0 C 1.734375,-1.125 2.84375,-2.21875 3.625,-2.921875 4.5,-3.6875 5.265625,-4.4375 5.265625,-5.53125 c 0,-1.328125 -0.921875,-2.546875 -2.5,-2.546875 -1.296875,0 -1.953125,0.84375 -2.28125,1.953125 0.390625,0.484375 0.390625,0.5 0.5,0.65625 0.296875,-1.28125 0.734375,-1.875 1.625,-1.875 1.03125,0 1.6875,0.8125 1.6875,1.828125 0,0.625 -0.25,1.3125 -1.046875,2.109375 L 0.578125,-0.75 z m 0,0"
id="path4300"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph6-2"
style="overflow:visible">
<path
style="stroke:none"
d="m 3.515625,-8.078125 -0.234375,0 c -0.1875,0.1875 -0.765625,0.75 -2.046875,0.78125 -0.171875,0 -0.1875,0 -0.1875,0.21875 l 0,0.484375 c 0.734375,0 1.28125,-0.1875 1.53125,-0.296875 l 0,6.203125 -1.453125,0 0,0.6875 3.84375,0 0,-0.6875 -1.453125,0 0,-7.390625 z m 0,0"
id="path4303"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph6-3"
style="overflow:visible">
<path
style="stroke:none"
d="M 5.359375,-3.890625 C 5.359375,-4.703125 5.3125,-5.625 5.015625,-6.46875 4.5,-7.8125 3.5625,-8.078125 2.921875,-8.078125 c -0.765625,0 -1.515625,0.390625 -1.96875,1.34375 -0.390625,0.84375 -0.46875,1.8125 -0.46875,2.84375 0,1.296875 0.109375,2.03125 0.5,2.875 0.359375,0.78125 1.125,1.265625 1.9375,1.265625 0.78125,0 1.53125,-0.421875 1.9375,-1.25 0.40625,-0.859375 0.5,-1.71875 0.5,-2.890625 z m -2.4375,3.421875 c -1.515625,0 -1.515625,-2.453125 -1.515625,-3.578125 0,-0.765625 0,-1.5 0.203125,-2.1875 0.296875,-0.84375 0.8125,-1.125 1.3125,-1.125 1.53125,0 1.53125,2.21875 1.53125,3.3125 0,0.765625 0,1.5625 -0.21875,2.296875 -0.328125,1.15625 -1,1.28125 -1.3125,1.28125 z m 0,0"
id="path4306"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph7-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4309"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph7-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 10.5,-7.78125 c 0.265625,0 0.9375,0 0.9375,-0.671875 0,-0.453125 -0.390625,-0.453125 -0.765625,-0.453125 l -4.5625,0 c -3.09375,0 -5.328125,3.453125 -5.328125,5.890625 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71875 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.265625 l 2.296875,0 z m -6.703125,7.578125 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.234375 0,-1.234375 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.421875 1.875,2.015625 0,0.71875 -0.328125,2.453125 -1.046875,3.65625 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
id="path4312"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph7-2"
style="overflow:visible">
<path
style="stroke:none"
d="M 9.375,-6.90625 C 9.25,-8.0625 8.53125,-9.4375 6.671875,-9.4375 c -2.90625,0 -5.890625,2.953125 -5.890625,6.234375 0,1.265625 0.875,3.640625 3.6875,3.640625 4.875,0 6.953125,-7.109375 6.953125,-9.9375 0,-2.96875 -1.671875,-5.265625 -4.3125,-5.265625 -3,0 -3.890625,2.625 -3.890625,3.171875 0,0.1875 0.125,0.640625 0.703125,0.640625 0.71875,0 1.03125,-0.65625 1.03125,-1 0,-0.640625 -0.640625,-0.640625 -0.90625,-0.640625 0.84375,-1.53125 2.421875,-1.6875 2.96875,-1.6875 C 8.84375,-14.28125 10,-12.828125 10,-10.515625 10,-9.1875 9.609375,-7.65625 9.40625,-6.90625 l -0.03125,0 z M 4.53125,-0.125 C 2.578125,-0.125 2.25,-1.65625 2.25,-2.515625 c 0,-0.90625 0.578125,-3.046875 0.890625,-3.8125 0.265625,-0.609375 1.4375,-2.703125 3.59375,-2.703125 1.875,0 2.3125,1.640625 2.3125,2.75 0,1.53125 -1.34375,6.15625 -4.515625,6.15625 z m 0,0"
id="path4315"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph7-3"
style="overflow:visible">
<path
style="stroke:none"
d="m 5.921875,-7.78125 3.4375,0 c 0.265625,0 0.953125,0 0.953125,-0.671875 0,-0.453125 -0.390625,-0.453125 -0.765625,-0.453125 l -5.6875,0 c -0.46875,0 -1.171875,0 -2.125,1.015625 -0.53125,0.59375 -1.203125,1.6875 -1.203125,1.8125 0,0.125 0.109375,0.171875 0.234375,0.171875 0.140625,0 0.15625,-0.0625 0.265625,-0.1875 1.078125,-1.6875 2.15625,-1.6875 2.671875,-1.6875 l 1.703125,0 -2.140625,7.078125 c -0.109375,0.3125 -0.109375,0.359375 -0.109375,0.40625 0,0.234375 0.15625,0.53125 0.5625,0.53125 0.640625,0 0.75,-0.5625 0.8125,-0.875 L 5.921875,-7.78125 z m 0,0"
id="path4318"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph8-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4321"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph8-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 7.90625,-4.796875 5.453125,0 c 0.296875,0 0.640625,0 0.640625,-0.34375 0,-0.375 -0.328125,-0.375 -0.640625,-0.375 l -5.453125,0 0,-5.46875 c 0,-0.296875 0,-0.640625 -0.34375,-0.640625 -0.375,0 -0.375,0.328125 -0.375,0.640625 l 0,5.46875 -5.46875,0 c -0.296875,0 -0.640625,0 -0.640625,0.34375 0,0.375 0.328125,0.375 0.640625,0.375 l 5.46875,0 0,5.484375 c 0,0.28125 0,0.640625 0.359375,0.640625 0.359375,0 0.359375,-0.34375 0.359375,-0.640625 l 0,-5.484375 z m 0,0"
id="path4324"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph8-2"
style="overflow:visible">
<path
style="stroke:none"
d="M 13.390625,-6.625 C 13.6875,-6.625 14,-6.625 14,-6.984375 c 0,-0.375 -0.34375,-0.375 -0.703125,-0.375 l -11.515625,0 c -0.359375,0 -0.703125,0 -0.703125,0.375 0,0.359375 0.3125,0.359375 0.609375,0.359375 l 11.703125,0 z m -0.09375,3.671875 c 0.359375,0 0.703125,0 0.703125,-0.375 0,-0.34375 -0.3125,-0.34375 -0.609375,-0.34375 l -11.703125,0 c -0.296875,0 -0.609375,0 -0.609375,0.34375 0,0.375 0.34375,0.375 0.703125,0.375 l 11.515625,0 z m 0,0"
id="path4327"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph8-3"
style="overflow:visible">
<path
style="stroke:none"
d="M 5.203125,-15.46875 C 4.09375,-14.328125 1.53125,-11.6875 1.53125,-5.171875 c 0,6.5625 2.5625,9.171875 3.671875,10.34375 l 1.265625,0 c -2.546875,-2.65625 -3.375,-6.34375 -3.375,-10.3125 0,-3.953125 0.796875,-7.671875 3.375,-10.328125 l -1.265625,0 z m 0,0"
id="path4330"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph8-4"
style="overflow:visible">
<path
style="stroke:none"
d="m 2.328125,5.171875 c 1.125,-1.140625 3.6875,-3.78125 3.6875,-10.3125 0,-6.546875 -2.5625,-9.171875 -3.6875,-10.328125 l -1.25,0 C 3.609375,-12.828125 4.4375,-9.125 4.4375,-5.171875 4.4375,-1.21875 3.65625,2.5 1.078125,5.171875 l 1.25,0 z m 0,0"
id="path4333"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph9-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4336"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph9-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 8.765625,-7.5625 6.09375,-6.765625 -1.890625,0 -4.765625,5.359375 -2.578125,-5.359375 -2.03125,0 L 7.0625,-7.5625 0.265625,0 2.171875,0 7.640625,-6.296875 10.578125,0 12.625,0 8.765625,-7.5625 z m 0,0"
id="path4339"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph10-0"
style="overflow:visible">
<path
style="stroke:none"
d=""
id="path4342"
inkscape:connector-curvature="0" />
</symbol>
<symbol
overflow="visible"
id="glyph10-1"
style="overflow:visible">
<path
style="stroke:none"
d="m 5.53125,-6.484375 0.75,0 L 9.375,-1.6875 c 0.203125,0.328125 0.703125,1.125 0.9375,1.4375 C 10.453125,0 10.515625,0 10.984375,0 l 2.859375,0 c 0.375,0 0.671875,0 0.671875,-0.375 0,-0.15625 -0.125,-0.3125 -0.296875,-0.34375 C 13.453125,-0.890625 12.4375,-2.25 11.9375,-2.90625 11.796875,-3.125 10.765625,-4.484375 9.375,-6.71875 11.21875,-7.046875 13,-7.828125 13,-10.28125 c 0,-2.875 -3.046875,-3.875 -5.484375,-3.875 l -6.484375,0 c -0.375,0 -0.703125,0 -0.703125,0.375 0,0.359375 0.390625,0.359375 0.5625,0.359375 1.171875,0 1.28125,0.140625 1.28125,1.171875 l 0,10.34375 c 0,1.03125 -0.109375,1.1875 -1.28125,1.1875 -0.171875,0 -0.5625,0 -0.5625,0.34375 C 0.328125,0 0.65625,0 1.03125,0 L 6.6875,0 c 0.375,0 0.6875,0 0.6875,-0.375 0,-0.34375 -0.359375,-0.34375 -0.578125,-0.34375 -1.171875,0 -1.265625,-0.171875 -1.265625,-1.1875 l 0,-4.578125 z M 9.515625,-7.5 c 0.578125,-0.765625 0.640625,-1.859375 0.640625,-2.765625 0,-0.984375 -0.125,-2.09375 -0.78125,-2.9375 0.84375,0.1875 2.890625,0.828125 2.890625,2.921875 0,1.34375 -0.609375,2.390625 -2.75,2.78125 z M 5.53125,-12.3125 c 0,-0.4375 0,-1.109375 1.28125,-1.109375 1.765625,0 2.625,0.71875 2.625,3.15625 0,2.671875 -0.640625,3.0625 -3.90625,3.0625 l 0,-5.109375 z M 2.734375,-0.71875 c 0.15625,-0.375 0.15625,-0.953125 0.15625,-1.140625 l 0,-10.4375 c 0,-0.203125 0,-0.765625 -0.15625,-1.125 l 2.34375,0 C 4.8125,-13.09375 4.8125,-12.6875 4.8125,-12.375 l 0,10.515625 c 0,0.203125 0,0.765625 0.171875,1.140625 l -2.25,0 z M 7.125,-6.484375 C 7.265625,-6.5 7.359375,-6.53125 7.515625,-6.53125 c 0.3125,0 0.765625,-0.03125 1.078125,-0.078125 0.3125,0.5 2.546875,4.171875 4.25,5.890625 l -2,0 L 7.125,-6.484375 z m 0,0"
id="path4345"
inkscape:connector-curvature="0" />
</symbol>
</g>
</defs>
<g
inkscape:groupmode="layer"
id="layer1"
inkscape:label="SlideA"
style="display:inline"
transform="translate(-23.545343,-68.674595)">
<path
style="fill:#000000;fill-opacity:0.11764706;stroke:#000000;stroke-width:0.80000001;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="m 24.849903,86.74184 c -0.791433,4.177822 3.11043,7.92362 4.95702,11.75385 1.092806,2.26672 3.110718,4.16199 3.61505,6.62733 1.28178,6.26575 -5.496538,13.85485 -1.83513,19.09858 1.947056,2.78851 6.470634,2.50358 9.87071,2.58263 7.676864,0.17851 16.764382,0.27881 22.53353,-4.78904 8.203039,-7.20586 14.836179,-20.71762 10.88223,-30.89508 -2.004477,-5.15952 -9.613989,-5.519044 -14.64367,-7.83008 -3.06848,-1.409904 -6.163396,-2.86511 -9.44367,-3.66711 -5.585815,-1.365686 -11.734924,-3.819323 -17.1483,-1.87979 -3.946925,1.414125 -8.007415,4.879364 -8.78777,8.99871 z"
id="path7167"
inkscape:connector-curvature="0"
sodipodi:nodetypes="aaaaaaaaaaa" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="SlideA+1"
style="display:inline"
transform="translate(-23.545343,-68.674595)">
<g
id="g6032">
<path
id="path4769"
d="m 50.738969,105.31128 1.71875,0 c 0.13282,0 0.47657,0 0.47657,-0.33594 0,-0.22656 -0.19532,-0.22656 -0.38282,-0.22656 l -2.84375,0 c -0.23437,0 -0.58593,0 -1.0625,0.50781 -0.26562,0.29688 -0.60156,0.84375 -0.60156,0.90625 0,0.0625 0.0547,0.0859 0.11719,0.0859 0.0703,0 0.0781,-0.0312 0.13281,-0.0937 0.53906,-0.84375 1.07813,-0.84375 1.33594,-0.84375 l 0.85156,0 -1.07031,3.53906 c -0.0547,0.15625 -0.0547,0.17969 -0.0547,0.20312 0,0.11719 0.0781,0.26563 0.28125,0.26563 0.32031,0 0.375,-0.28125 0.40625,-0.4375 l 0.69531,-3.57031 z m 0,0"
style="fill:#00c800;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
<path
inkscape:connector-curvature="0"
id="path5972"
d="m 51.630342,97.520809 c -0.685351,-0.04856 -0.871761,0.539664 -1.345879,0.833168"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5974"
d="m 52.703061,99.075766 c -1.837897,0.38252 -2.187165,1.166334 -3.418238,1.803104"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5976"
d="m 53.412344,100.56702 c -1.48091,1.13531 -3.068109,1.833 -4.657432,2.62767"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5978"
d="m 55.629685,103.82698 c -0.786217,0.27734 -0.495352,0.71253 -1.602239,0.89725"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5982"
d="m 56.719205,105.49331 c -1.208912,0.47608 -3.570556,1.90397 -4.614444,2.4354"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
inkscape:connector-curvature="0"
id="path5986"
d="m 57.808727,107.54417 c -4.069163,2.28804 -8.04481,3.67418 -12.497452,5.06308"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5988"
d="m 47.362139,110.30002 c -0.898153,-0.0119 -3.185939,1.24415 -3.396744,1.28179"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5990"
d="m 51.912493,112.09453 c 2.518645,-0.007 5.091654,-1.72424 6.601219,-2.11496"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
sodipodi:nodetypes="cc"
inkscape:connector-curvature="0"
id="path5978-9"
d="m 53.514731,102.51315 c -0.786217,0.27734 -1.456693,1.16115 -2.56358,1.34588"
style="fill:none;stroke:#00c800;stroke-width:0.40000001;stroke-linecap:round;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
</g>
</g>
<g
inkscape:groupmode="layer"
id="layer3"
inkscape:label="SlideB"
style="display:inline">
<path
style="fill:#000000;fill-opacity:0.11764706;fill-rule:evenodd;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;display:inline"
d="m 17.84375,10.4375 c -1.781267,0.02672 -3.52707,0.300146 -5.21875,0.90625 -4.933656,1.767656 -10.0245563,6.100818 -11,11.25 -0.98929121,5.222277 3.8792626,9.899713 6.1875,14.6875 1.3660074,2.8334 3.900835,5.199575 4.53125,8.28125 1.602225,7.832187 -6.8580098,17.320338 -2.28125,23.875 2.43382,3.485637 8.062405,3.119938 12.3125,3.21875 9.59608,0.223137 20.976065,0.366062 28.1875,-5.96875 C 60.816298,57.680175 69.098686,40.784324 64.15625,28.0625 61.650654,21.6131 52.130851,21.170045 45.84375,18.28125 42.00815,16.51887 38.162842,14.69 34.0625,13.6875 28.825799,12.407169 23.18755,10.357327 17.84375,10.4375 z m 18.21875,33.625 c 5.088634,-0.280222 6.081994,11.012686 -2.09375,8.96875 -1.339693,-0.334923 -2.1875,-0.637373 -2.1875,-2.15625 0,-2.781531 -0.02176,-5.793612 2.5625,-6.3125 0.60859,-0.304295 1.19234,-0.471011 1.71875,-0.5 z"
transform="matrix(0.80000004,0,0,0.80000004,0,-1.2679445e-6)"
id="path6064"
inkscape:connector-curvature="0"
sodipodi:nodetypes="ssssssssssssssscs" />
</g>
<g
inkscape:groupmode="layer"
id="layer4"
inkscape:label="SlideCommon">
<g
style="display:inline"
id="g4832"
transform="matrix(0.5,0,0,0.5,18.624559,-35.866117)">
<path
id="path4813"
d="m 38.846001,123.86874 c 0.265625,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.390625,-0.45313 -0.765625,-0.45313 l -4.5625,0 c -3.09375,0 -5.328125,3.45313 -5.328125,5.89062 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.26563 l 2.296875,0 z m -6.703125,7.57812 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.328125,2.45312 -1.046875,3.65624 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
<path
id="path4809"
d="m 44.064751,125.04586 -0.28125,0 c -0.21875,0.23438 -0.90625,0.90625 -2.453125,0.9375 -0.203125,0 -0.21875,0.0156 -0.21875,0.28125 l 0,0.5625 c 0.875,0 1.53125,-0.21875 1.828125,-0.34375 l 0,7.4375 -1.75,0 0,0.82813 4.625,0 0,-0.82813 -1.75,0 0,-8.875 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
</g>
<g
style="display:inline"
id="g4836"
transform="matrix(0.5,0,0,0.5,-7.934316,-14.179487)">
<path
id="path4801"
d="m 82.164001,123.86874 c 0.265625,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.390625,-0.45313 -0.765625,-0.45313 l -4.5625,0 c -3.09375,0 -5.328125,3.45313 -5.328125,5.89062 0,1.75 1.140625,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.171875,-1.59375 -0.671875,-2.26563 l 2.296875,0 z m -6.703125,7.57812 c -1.046875,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.890625,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.328125,2.45312 -1.046875,3.65624 -0.75,1.21875 -1.859375,1.90625 -2.796875,1.90625 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
<path
id="path4797"
d="m 83.866127,133.84274 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.70313 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.82813 1.96875,-3.14063 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.35938 0.453125,0.57812 0.453125,0.60937 0.578125,0.78125 0.359375,-1.54688 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.20312 0,0.75 -0.296875,1.57813 -1.25,2.51563 l -3.203125,3.1875 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
</g>
<g
style="display:inline"
id="g4840"
transform="matrix(0.5,0,0,0.5,-45.551856,-33.878899)">
<path
id="path4789"
d="m 125.481,123.86874 c 0.26562,0 0.9375,0 0.9375,-0.67187 0,-0.45313 -0.39063,-0.45313 -0.76563,-0.45313 l -4.5625,0 c -3.09375,0 -5.32812,3.45313 -5.32812,5.89062 0,1.75 1.14062,3.21875 3,3.21875 2.4375,0 5.09375,-2.625 5.09375,-5.71874 0,-0.8125 -0.17188,-1.59375 -0.67188,-2.26563 l 2.29688,0 z m -6.70313,7.57812 c -1.04687,0 -1.8125,-0.8125 -1.8125,-2.23437 0,-1.23437 0.75,-5.34375 3.78125,-5.34375 0.89063,0 1.875,0.42188 1.875,2.01563 0,0.71875 -0.32812,2.45312 -1.04687,3.65624 -0.75,1.21875 -1.85938,1.90625 -2.79688,1.90625 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
<path
id="path4785"
d="m 127.76125,127.40524 c 0.35938,-0.92188 1.23438,-1.53125 2.1875,-1.53125 0.73438,0 1.42188,0.40625 1.42188,1.34375 0,0.96875 -0.65625,1.75 -1.4375,1.92187 -0.0625,0.0156 -0.96875,0.0937 -1.10938,0.0937 l 0,0.875 1.01563,0 c 1.46875,0 1.82812,1.25 1.82812,2.04688 0,1.15625 -0.70312,2.03125 -1.73437,2.03125 -0.92188,0 -2.04688,-0.45313 -2.70313,-1.48438 l -0.15625,0.84375 c 0.92188,1.28125 2.1875,1.5 2.89063,1.5 1.67187,0 2.9375,-1.35937 2.9375,-2.875 0,-1.10937 -0.73438,-2.07812 -1.95313,-2.5 1.01563,-0.54687 1.5625,-1.5 1.5625,-2.45312 0,-1.23438 -1.15625,-2.17188 -2.54687,-2.17188 -1.14063,0 -2.17188,0.64063 -2.70313,1.57813 l 0.5,0.78125 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
</g>
<g
style="display:inline"
id="g5137"
transform="matrix(0.5,0,0,0.5,19.724272,-77.345941)">
<path
id="path4761"
d="m 37.111626,165.9305 6.09375,-6.76563 -1.890625,0 -4.765625,5.35938 -2.578125,-5.35938 -2.03125,0 3.46875,6.76563 -6.796875,7.5625 1.90625,0 5.46875,-6.29688 2.9375,6.29688 2.046875,0 -3.859375,-7.5625 z m 0,0"
style="fill:#000000;fill-opacity:1;stroke:none"
inkscape:connector-curvature="0" />
<g
id="g4844">
<path
inkscape:connector-curvature="0"
style="fill:#000000;fill-opacity:1;stroke:none"
d="m 63.379375,161.1805 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.42188 -0.359375,-0.42188 -0.71875,-0.42188 l -5.546875,0 c -3.5625,0 -6.34375,2.70313 -6.34375,5.96875 0,3.32813 2.84375,6 6.34375,6 l 5.546875,0 c 0.359375,0 0.71875,0 0.71875,-0.42187 0,-0.40625 -0.359375,-0.40625 -0.71875,-0.40625 l -5.515625,0 c -3.265625,0 -5.546875,-2.42188 -5.546875,-5.14063 0,-2.8125 2.34375,-5.17187 5.546875,-5.17187 l 5.515625,0 z M 52.61375,175.493 c -0.34375,0 -0.71875,0 -0.71875,0.42187 0,0.40625 0.375,0.40625 0.71875,0.40625 l 10.765625,0 c 0.359375,0 0.71875,0 0.71875,-0.40625 0,-0.42187 -0.359375,-0.42187 -0.71875,-0.42187 l -10.765625,0 z m 0,0"
id="path4757" />
</g>
<g
id="g4847">
<path
inkscape:connector-curvature="0"
style="fill:#000000;fill-opacity:1;stroke:none"
d="m 77.111252,167.00862 0.75,0 3.09375,4.79688 c 0.203125,0.32812 0.703125,1.125 0.9375,1.4375 0.140625,0.25 0.203125,0.25 0.671875,0.25 l 2.859375,0 c 0.375,0 0.671875,0 0.671875,-0.375 0,-0.15625 -0.125,-0.3125 -0.296875,-0.34375 -0.765625,-0.17188 -1.78125,-1.53125 -2.28125,-2.1875 -0.140625,-0.21875 -1.171875,-1.57813 -2.5625,-3.8125 1.84375,-0.32813 3.625,-1.10938 3.625,-3.5625 0,-2.875 -3.046875,-3.875 -5.484375,-3.875 l -6.484375,0 c -0.375,0 -0.703125,0 -0.703125,0.375 0,0.35937 0.390625,0.35937 0.5625,0.35937 1.171875,0 1.28125,0.14063 1.28125,1.17188 l 0,10.34375 c 0,1.03125 -0.109375,1.1875 -1.28125,1.1875 -0.171875,0 -0.5625,0 -0.5625,0.34375 0,0.375 0.328125,0.375 0.703125,0.375 l 5.65625,0 c 0.375,0 0.6875,0 0.6875,-0.375 0,-0.34375 -0.359375,-0.34375 -0.578125,-0.34375 -1.171875,0 -1.265625,-0.17188 -1.265625,-1.1875 l 0,-4.57813 z m 3.984375,-1.01562 c 0.578125,-0.76563 0.640625,-1.85938 0.640625,-2.76563 0,-0.98437 -0.125,-2.09375 -0.78125,-2.9375 0.84375,0.1875 2.890625,0.82813 2.890625,2.92188 0,1.34375 -0.609375,2.39062 -2.75,2.78125 z m -3.984375,-4.8125 c 0,-0.4375 0,-1.10938 1.28125,-1.10938 1.765625,0 2.625,0.71875 2.625,3.15625 0,2.67188 -0.640625,3.0625 -3.90625,3.0625 l 0,-5.10937 z m -2.796875,11.59375 c 0.15625,-0.375 0.15625,-0.95313 0.15625,-1.14063 l 0,-10.4375 c 0,-0.20312 0,-0.76562 -0.15625,-1.125 l 2.34375,0 c -0.265625,0.32813 -0.265625,0.73438 -0.265625,1.04688 l 0,10.51562 c 0,0.20313 0,0.76563 0.171875,1.14063 l -2.25,0 z m 4.390625,-5.76563 c 0.140625,-0.0156 0.234375,-0.0469 0.390625,-0.0469 0.3125,0 0.765625,-0.0312 1.078125,-0.0781 0.3125,0.5 2.546875,4.17188 4.25,5.89063 l -2,0 -3.71875,-5.76563 z m 0,0"
id="path4753" />
<path
inkscape:connector-curvature="0"
style="fill:#000000;fill-opacity:1;stroke:none"
d="m 87.206123,165.08875 0,0.90625 5.609375,0 0,-0.96875 -2.546875,0 c -0.1875,0 -0.359375,0 -0.53125,0 l -1.53125,0 c 0.375,-0.375 1.703125,-1.70313 2.640625,-2.53125 1.0625,-0.9375 1.96875,-1.82813 1.96875,-3.14063 0,-1.59375 -1.109375,-3.0625 -3,-3.0625 -1.546875,0 -2.34375,1.03125 -2.71875,2.35938 0.453125,0.57812 0.453125,0.60937 0.578125,0.78125 0.359375,-1.54688 0.890625,-2.25 1.953125,-2.25 1.234375,0 2.03125,0.96875 2.03125,2.20312 0,0.75 -0.296875,1.57813 -1.25,2.51563 l -3.203125,3.1875 z m 0,0"
id="path4749" />
</g>
</g>
<g
transform="translate(-23.545343,-68.674595)"
style="display:inline"
id="g6156">
<path
sodipodi:nodetypes="cccc"
inkscape:connector-curvature="0"
id="path5913"
d="m 49.555765,92.418285 c 0.456685,8.462115 -5.472835,14.948225 -8.168533,21.238185 7.127633,2.57713 14.432367,-1.04962 19.967525,-1.45218 -1.886606,-7.51653 -8.092933,-13.607476 -11.617469,-19.422957"
style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
<path
inkscape:connector-curvature="0"
id="path5921"
d="m 43.695051,105.30375 c -0.02631,1.27266 0.0947,2.22546 0.14737,3.46318 0.994813,0.18485 2.582589,-0.18017 3.168444,-0.22105"
style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
<path
inkscape:connector-curvature="0"
id="path5927"
d="m 48.631929,112.8196 c -0.432306,0.515 -0.663807,1.4483 -0.810533,1.76843 0.510044,0.61672 1.144847,1.09281 1.621065,1.54738"
style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
<path
sodipodi:nodetypes="ccc"
inkscape:connector-curvature="0"
id="path5929"
d="m 54.453023,102.72479 0.515793,-2.28423 c 0.911818,-0.14735 1.789343,0.31577 2.505281,0.44211"
style="fill:none;stroke:#000000;stroke-width:0.80000001px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 48 KiB

BIN
images/singular_homology1.pdf
View File

Binary file not shown.

BIN
images/singular_homology2.pdf
View File

Binary file not shown.

BIN
images/singular_homology3.pdf
View File

Binary file not shown.

40
presentation/presentation.tex
View File

@ -8,6 +8,8 @@
\languagepath{dutch}
\deftranslation[to=dutch]{Definition}{Definitie}
\usepackage{array}
\input{../thesis/preamble}
\title{Dold-Kan correspondentie
@ -49,7 +51,7 @@
\begin{frame}
\frametitle{Is $\Ch{\cat{Ab}}$ interessant?}
\frametitle{Interessant?}
Gegeven een ketencomplex $C$:
$$ \cdots \to C_4 \tot{\del_3} C_3 \tot{\del_2} C_2 \tot{\del_1} C_1 \tot{\del_0} C_0 $$
met $\del_n \circ \del_{n+1} = 0$
@ -57,7 +59,7 @@
Dan geldt $im(\del_{n+1}) \trianglelefteq ker(\del_n)$
Definieer: $H_n(C) = ker(\del_n) / im(\del_{n+1})$
Definieer: $H_n(C) = ker(\del_{n-1}) / im(\del_n)$
(met $ker(\del_0) = C_0$ per conventie)
\end{frame}
@ -66,18 +68,30 @@
\begin{frame}
\frametitle{Voorbeeld}
$ \cdots \to C_1 \tot{\del_0} C_0 $, wat is $ H_1 = \frac{ker(\del_0)}{im(\del_1)} $?
\bigskip
\begin{tabular}{m{0.3\textwidth} m{0.7\textwidth}}
\includegraphics<1>{singular_homology1}
\includegraphics<2->{singular_homology2}
&
$ \sigma_1 - \sigma_2 + \sigma_3 \in ker (\del_0) $ \newline
\visible<2->{
$ \del_1(\tau) = \sigma_1 - \sigma_2 + \sigma_3 $ \newline
Dus $ \sigma_1 + \sigma_2 - \sigma_3 \in im (\del_1) $ \newline
Dus $ 0 = [\sigma_1 - \sigma_2 + \sigma_3] \in H_1 $}
\end{tabular}
\bigskip
\visible<3->{
\begin{tabular}{m{0.3\textwidth} m{0.7\textwidth}}
\includegraphics{singular_homology3}
&
$ \sigma_1 - \sigma_2 + \sigma_3 \in ker (\del_0) $ \newline
Maar $ \sigma_1 - \sigma_2 + \sigma_3 \not \in im (\del_1) $ \newline
Dus $ 0 \neq [\sigma_1 - \sigma_2 + \sigma_3] \in H_1 $
\end{tabular}
}
\begin{itemize}
\item $ \sigma_1 + \sigma_2 + \sigma_3 \in ker (\del_0) $ \\
\visible<2->{
$ \del_1(\tau) = \sigma_1 + \sigma_2 + \sigma_3 $ \\
Dus $ \sigma_1 + \sigma_2 + \sigma_3 \in im (\del_1) $ \\
Dus $ 0 = [\sigma_1 + \sigma_2 + \sigma_3] \in H_1 $}
\item \visible<3->{
$ \sigma_1 + \sigma_2 + \sigma_3 \in ker (\del_0) $ \\
Maar $ \sigma_1 + \sigma_2 + \sigma_3 \not \in im (\del_1) $ \\
Dus $ 0 \neq [\sigma_1 + \sigma_2 + \sigma_3] \in H_1 $}
\end{itemize}
\end{frame}

16
presentation/symbols.tex
View File

@ -15,18 +15,18 @@
\begin{document}
% \begin{frame}
% % Symbols used in drawings
% Bekijk $\Delta^n \tot{f} X$, dwz...
\begin{frame}
% Symbols used in drawings
Bekijk $\Delta^n \tot{f} X$, dwz...
% \Large $\cdots \tot{\del_2} \{\} \tot{\del_1} \{\} \tot{\del_0} \{\}$
\Large $\cdots \tot{\del_2} \{\} \tot{\del_1} \{\} \tot{\del_0} \{\}$
% $ \sigma_1 + \sigma_2 + \sigma_3 = \del(\tau) $
$ \sigma_1 + \sigma_2 + \sigma_3 = \del(\tau) $
% $ \mapsto $
$ \mapsto $
% $ X \subseteq \mathbb{R}^2 $
% \end{frame}
$ X \subseteq \mathbb{R}^2 $
\end{frame}
\begin{frame}
% Symbols used in drawings