This commit is contained in:
Maria Marchwicka 2019-06-08 13:33:05 +02:00
parent 11a97cecc9
commit d2146a556c
10 changed files with 482 additions and 599 deletions

Binary file not shown.

View File

@ -36,7 +36,7 @@
}% }%
\providecommand\rotatebox[2]{#2}% \providecommand\rotatebox[2]{#2}%
\ifx\svgwidth\undefined% \ifx\svgwidth\undefined%
\setlength{\unitlength}{2270.54270346bp}% \setlength{\unitlength}{2024.46625477bp}%
\ifx\svgscale\undefined% \ifx\svgscale\undefined%
\relax% \relax%
\else% \else%
@ -48,21 +48,22 @@
\global\let\svgwidth\undefined% \global\let\svgwidth\undefined%
\global\let\svgscale\undefined% \global\let\svgscale\undefined%
\makeatother% \makeatother%
\begin{picture}(1,0.35664263)% \begin{picture}(1,0.39238563)%
\put(0.34523208,0.32026902){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.13180612\unitlength}\raggedright \end{minipage}}}% \put(0.38719549,0.35919813){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.14782733\unitlength}\raggedright \end{minipage}}}%
\put(0.37403638,0.28673265){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.05553241\unitlength}\raggedright \end{minipage}}}% \put(0.41950099,0.32158538){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.06228245\unitlength}\raggedright \end{minipage}}}%
\put(-0.24570519,0.33337987){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.07663471\unitlength}\raggedright \end{minipage}}}% \put(-0.27557097,0.37390262){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.08594976\unitlength}\raggedright \end{minipage}}}%
\put(0,0){\includegraphics[width=\unitlength,page=1]{concordance_sum.pdf}}% \put(0,0){\includegraphics[width=\unitlength,page=1]{concordance_sum.pdf}}%
\put(0.00755836,0.35865552){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.03301039\unitlength}\raggedright $K_1$\end{minipage}}}% \put(0.01288113,0.34323651){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.03702285\unitlength}\raggedright $K_1$\end{minipage}}}%
\put(0.31573503,0.30921292){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.11352441\unitlength}\raggedright $K_1\prime$\end{minipage}}}% \put(0.349709,0.29483055){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.12732345\unitlength}\raggedright $K_1\prime$\end{minipage}}}%
\put(0.11757955,0.35187197){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.15898166\unitlength}\raggedright \shortstack{Annulus $A_1$}\end{minipage}}}% \put(0.11161295,0.2810184){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.17830609\unitlength}\raggedright \shortstack{Annulus $A_1$}\end{minipage}}}%
\put(0.1209483,0.44515339){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.11151923\unitlength}\raggedright \end{minipage}}}% \put(0.13564973,0.49926236){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.12507454\unitlength}\raggedright \end{minipage}}}%
\put(0,0){\includegraphics[width=\unitlength,page=2]{concordance_sum.pdf}}% \put(0,0){\includegraphics[width=\unitlength,page=2]{concordance_sum.pdf}}%
\put(0.00912905,0.16388952){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.03301039\unitlength}\raggedright $K_2$\end{minipage}}}% \put(0.01288113,0.08427937){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.03702285\unitlength}\raggedright $K_2$\end{minipage}}}%
\put(0.30238413,0.11444693){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.11352441\unitlength}\raggedright $K_2\prime$\end{minipage}}}% \put(0.33913931,0.1283581){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.12732345\unitlength}\raggedright $K_2\prime$\end{minipage}}}%
\put(0.11915025,0.15710597){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.16683513\unitlength}\raggedright \shortstack{Annulus $A_2$}\end{minipage}}}% \put(0.11425537,0.11454594){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.18711415\unitlength}\raggedright \shortstack{Annulus $A_2$}\end{minipage}}}%
\put(0,0){\includegraphics[width=\unitlength,page=3]{concordance_sum.pdf}}% \put(0,0){\includegraphics[width=\unitlength,page=3]{concordance_sum.pdf}}%
\put(0.79479654,0.15057288){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.21876087\unitlength}\raggedright $K_1\prime \# K_2\prime$\end{minipage}}}% \put(0.89218057,0.17097614){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.11494283\unitlength}\raggedright $K_1\prime \# K_2\prime$\end{minipage}}}%
\put(0.39316361,0.18038181){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.07306307\unitlength}\raggedright $K_1 \# K_2$\end{minipage}}}% \put(0.40836331,0.20054584){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.08194398\unitlength}\raggedright $K_1 \# K_2$\end{minipage}}}%
\put(0,0){\includegraphics[width=\unitlength,page=4]{concordance_sum.pdf}}%
\end{picture}% \end{picture}%
\endgroup% \endgroup%

View File

@ -11,15 +11,27 @@
xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="800.99701mm" width="714.18671mm"
height="285.66968mm" height="280.2366mm"
viewBox="0 0 800.99698 285.66968" viewBox="0 0 714.18668 280.23661"
version="1.1" version="1.1"
id="svg8" id="svg8"
inkscape:version="0.92.2 5c3e80d, 2017-08-06" inkscape:version="0.92.2 5c3e80d, 2017-08-06"
sodipodi:docname="concordance_sum.svg"> sodipodi:docname="concordance_sum.svg">
<defs <defs
id="defs2"> id="defs2">
<linearGradient
id="linearGradient2303"
inkscape:collect="always">
<stop
id="stop2299"
offset="0"
style="stop-color:#aaa8a6;stop-opacity:0.72156864" />
<stop
id="stop2301"
offset="1"
style="stop-color:#000300;stop-opacity:0.09745762" />
</linearGradient>
<linearGradient <linearGradient
inkscape:collect="always" inkscape:collect="always"
id="linearGradient1385"> id="linearGradient1385">
@ -28,7 +40,7 @@
offset="0" offset="0"
id="stop1381" /> id="stop1381" />
<stop <stop
style="stop-color:#000300;stop-opacity:0.38725489" style="stop-color:#000300;stop-opacity:0.05508475"
offset="1" offset="1"
id="stop1383" /> id="stop1383" />
</linearGradient> </linearGradient>
@ -180,22 +192,33 @@
inkscape:collect="always" inkscape:collect="always"
xlink:href="#linearGradient1385" xlink:href="#linearGradient1385"
id="radialGradient1373" id="radialGradient1373"
cx="-212.55186" cx="-212.71851"
cy="347.21616" cy="357.13055"
fx="-212.55186" fx="-212.71851"
fy="347.21616" fy="357.13055"
r="41.662697" r="41.662697"
gradientTransform="matrix(0.27469349,-1.7655014,-3.3945763,-0.52816046,1439.4435,46.130242)" gradientTransform="matrix(0.16914137,-1.7787195,-0.31440247,-0.02989704,347.52208,-129.68439)"
gradientUnits="userSpaceOnUse" /> gradientUnits="userSpaceOnUse" />
<linearGradient <linearGradient
inkscape:collect="always" inkscape:collect="always"
xlink:href="#stroke_black" xlink:href="#linearGradient2303"
id="linearGradient2166" id="linearGradient2166"
x1="2418.8113" x1="2418.8113"
y1="697.12329" y1="697.12329"
x2="1278.978" x2="1278.978"
y2="572.88092" y2="572.88092"
gradientUnits="userSpaceOnUse" /> gradientUnits="userSpaceOnUse" />
<radialGradient
inkscape:collect="always"
xlink:href="#linearGradient2303"
id="radialGradient2313"
cx="211.34277"
cy="233.69687"
fx="211.34277"
fy="233.69687"
r="26.105297"
gradientTransform="matrix(1,0,0,3.8690588,0,-670.49008)"
gradientUnits="userSpaceOnUse" />
</defs> </defs>
<sodipodi:namedview <sodipodi:namedview
id="base" id="base"
@ -205,8 +228,8 @@
inkscape:pageopacity="0.0" inkscape:pageopacity="0.0"
inkscape:pageshadow="2" inkscape:pageshadow="2"
inkscape:zoom="0.42060085" inkscape:zoom="0.42060085"
inkscape:cx="1975.1639" inkscape:cx="1998.2395"
inkscape:cy="694.78526" inkscape:cy="183.26185"
inkscape:document-units="mm" inkscape:document-units="mm"
inkscape:current-layer="layer1" inkscape:current-layer="layer1"
showgrid="false" showgrid="false"
@ -235,7 +258,7 @@
inkscape:label="Layer 1" inkscape:label="Layer 1"
inkscape:groupmode="layer" inkscape:groupmode="layer"
id="layer1" id="layer1"
transform="translate(175.00922,-84.030005)"> transform="translate(175.00922,-89.463084)">
<flowRoot <flowRoot
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99984741px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99984741px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot3076" id="flowRoot3076"
@ -297,7 +320,7 @@
xml:space="preserve" xml:space="preserve"
id="flowRoot3060" id="flowRoot3060"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.21253723,0,0,0.32241159,-121.78956,27.357363)"><flowRegion transform="matrix(0.21253723,0,0,0.32241159,-118.64426,69.504409)"><flowRegion
id="flowRegion3062" id="flowRegion3062"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect
id="rect3064" id="rect3064"
@ -307,7 +330,7 @@
y="170.7765" y="170.7765"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara461">$K_1$</flowPara></flowRoot> <flowRoot id="flowPara461">$K_1$</flowPara></flowRoot> <flowRoot
transform="matrix(0.31386356,0,0,0.32241159,148.2596,77.801394)" transform="matrix(0.31386356,0,0,0.32241159,145.1143,114.91596)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot3110" id="flowRoot3110"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
@ -323,7 +346,7 @@
xml:space="preserve" xml:space="preserve"
id="flowRoot3140" id="flowRoot3140"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.21253723,0,0,0.32241159,-93.334332,117.8901)"><flowRegion transform="matrix(0.21253723,0,0,0.32241159,-107.80272,199.03889)"><flowRegion
id="flowRegion3136" id="flowRegion3136"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect
id="rect3134" id="rect3134"
@ -370,7 +393,7 @@
</g> </g>
</g> </g>
<flowRoot <flowRoot
transform="matrix(0.21253723,0,0,0.32241159,-120.53144,183.36434)" transform="matrix(0.21253723,0,0,0.32241159,-118.64426,254.44816)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot485" id="flowRoot485"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
@ -396,7 +419,7 @@
y="137.15285" y="137.15285"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara513">$K_2\prime$</flowPara></flowRoot> <flowRoot id="flowPara513">$K_2\prime$</flowPara></flowRoot> <flowRoot
transform="matrix(0.21253723,0,0,0.32241159,-92.076211,273.89708)" transform="matrix(0.21253723,0,0,0.32241159,-105.91554,317.93131)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot501" id="flowRoot501"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
@ -412,7 +435,7 @@
sodipodi:nodetypes="cccsscccscc" sodipodi:nodetypes="cccsscccscc"
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
id="path530" id="path530"
d="m 211.87208,198.83179 c 86.64789,34.84728 114.28563,32.47071 196.48697,40.69725 16.1125,0.28845 33.00169,2.61634 48.39469,-6.01574 5.35497,-10.33206 0.62511,-33.88546 17.77211,-34.61474 10.57471,-0.44974 -5.86804,-26.3269 -11.91781,-32.00855 -1.70911,-1.60512 -3.71899,-2.57009 -6.06347,-2.64086 -1.68208,-0.11235 -3.36377,-0.2035 -5.04506,-0.27425 -109.82622,-11.4827 -198.74491,32.02305 -211.53367,3.2309 -2.19166,-5.03649 -7.60203,-14.80346 -13.58057,-22.63721 -5.54844,-7.27019 -11.58623,-12.8753 -15.99471,-11.48881 -8.35396,2.97628 4.18485,33.75809 -5.99707,50.29542" d="m 204.39349,183.3752 c 27.43971,50.82091 120.01591,48.0196 203.96556,56.15384 16.1125,0.28845 33.00169,2.61634 48.39469,-6.01574 5.35497,-10.33206 0.62511,-33.88546 17.77211,-34.61474 10.57471,-0.44974 -5.86804,-26.3269 -11.91781,-32.00855 -1.70911,-1.60512 -3.71899,-2.57009 -6.06347,-2.64086 -1.68208,-0.11235 -3.36377,-0.2035 -5.04506,-0.27425 -109.82622,-11.4827 -198.74491,32.02305 -211.53367,3.2309 -2.19166,-5.03649 -7.60203,-14.80346 -13.58057,-22.63721 -5.54844,-7.27019 -11.58623,-12.8753 -15.99471,-11.48881 -8.35396,2.97628 4.18485,33.75809 -5.99707,50.29542"
style="opacity:1;fill:url(#linearGradient538);fill-opacity:1;fill-rule:nonzero;stroke:url(#linearGradient540);stroke-width:0.98937368;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.54299999" /> style="opacity:1;fill:url(#linearGradient538);fill-opacity:1;fill-rule:nonzero;stroke:url(#linearGradient540);stroke-width:0.98937368;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.54299999" />
<path <path
style="opacity:1;fill:url(#linearGradient554);fill-opacity:1;fill-rule:nonzero;stroke:url(#linearGradient556);stroke-width:0.90010363;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.54299999" style="opacity:1;fill:url(#linearGradient554);fill-opacity:1;fill-rule:nonzero;stroke:url(#linearGradient556);stroke-width:0.90010363;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.54299999"
@ -421,29 +444,22 @@
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
sodipodi:nodetypes="ccssccccc" /> sodipodi:nodetypes="ccssccccc" />
<path <path
style="opacity:0.27000002;fill:#a8a8a5;fill-opacity:0.99509804;fill-rule:nonzero;stroke:url(#radialGradient1373);stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.99509804" style="opacity:0.27000002;fill:url(#radialGradient2313);fill-opacity:1.0;fill-rule:nonzero;stroke:url(#radialGradient1373);stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.99509804"
d="m 211.87207,198.83178 c 7.03676,-17.10631 24.51656,-43.9322 16.30333,-52.84929 -7.5286,-8.17378 -13.78975,-16.69024 -18.77855,-10.86972 -6.54275,7.63353 6.25009,23.4621 -5.00336,48.26243 m 3.70057,108.91626 c 0,0 13.01816,-27.03766 9.69269,-39.49173 -3.09131,-11.57719 -8.38451,-22.84698 -8.95008,-34.81642 -0.30507,-6.45633 3.03538,-19.15153 3.03538,-19.15153 2.48565,5.52494 -7.72125,-14.03685 -7.47859,-15.45659 -6.00768,13.23972 -8.97804,38.4552 -12.5781,52.8606 -4.57444,18.30431 25.54299,27.58377 7.39228,47.26151 -8.11603,8.79884 -16.38278,31.06286 -12.46135,38.12236 6.1835,11.13179 18.98218,16.86586 38.74078,8.80162 12.5088,-5.1053 23.66362,-32.12994 -17.39301,-38.12982" d="m 211.87208,198.83179 c 7.03676,-17.10631 24.51655,-43.93221 16.30332,-52.8493 -7.5286,-8.17378 -13.78975,-16.69024 -18.77855,-10.86972 -6.54275,7.63353 6.25009,23.4621 -5.00336,48.26243 m 3.70057,108.91626 c 8.62532,-7.09703 4.11625,-35.14132 9.69269,-39.49173 1.15434,-0.90055 1.57602,-2.31489 2.22241,-3.35079 15.25261,-24.44368 -20.65793,-5.29538 -8.13708,-50.61715 1.61328,-5.83959 -7.72128,-14.03686 -7.47862,-15.4566 -6.00768,13.23972 -8.97804,38.4552 -12.5781,52.8606 -4.57444,18.30431 25.54299,27.58377 7.39228,47.26151 -8.11603,8.79884 -16.38278,31.06286 -12.46135,38.12236 6.1835,11.13179 18.98218,16.86586 38.74078,8.80162 12.5088,-5.1053 23.66362,-32.12994 -17.39301,-38.12982"
id="path546" id="path546"
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
sodipodi:nodetypes="cssccssccssssc" /> sodipodi:nodetypes="cssccssscssssc" />
<path <path
style="opacity:0.63899997;fill:#aba8a6;fill-opacity:0.97254902;fill-rule:nonzero;stroke:#353935;stroke-width:0.90010363;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.22745098" style="opacity:0.63899997;fill:#aba8a6;fill-opacity:0.97254902;fill-rule:nonzero;stroke:#353935;stroke-width:0.90010363;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.22745098"
d="m 417.13602,359.15562 c -17.15463,-4.50997 -20.94117,-88.54118 13.52141,-68.24776 24.2438,-13.15266 22.48985,-36.30445 26.0963,-57.39456 -36.10976,-18.93976 -21.04609,-69.86969 0.38104,-70.17871 45.83338,23.23398 22.38482,145.83735 -3.27089,173.55078 -10.68735,-2.89917 -19.68938,-12.11317 -24.93139,-12.45687 -8.78889,-0.57624 -9.2022,8.37336 -11.37662,15.42643 -2.9071,9.42957 5.00296,20.55657 -0.41985,19.30069 z" d="m 417.13602,359.15562 c -17.15463,-4.50997 -20.94117,-88.54118 13.52141,-68.24776 24.2438,-13.15266 22.48985,-36.30445 26.0963,-57.39456 -36.10976,-18.93976 -21.04609,-69.86969 0.38104,-70.17871 45.83338,23.23398 22.38482,145.83735 -3.27089,173.55078 -10.68735,-2.89917 -19.68938,-12.11317 -24.93139,-12.45687 -8.78889,-0.57624 -9.2022,8.37336 -11.37662,15.42643 -2.9071,9.42957 5.00296,20.55657 -0.41985,19.30069 z"
id="path548" id="path548"
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
sodipodi:nodetypes="cccccssc" /> sodipodi:nodetypes="cccccssc" />
<path
style="opacity:1;fill:url(#linearGradient2166);fill-opacity:1;fill-rule:evenodd;stroke:#161816;stroke-width:6.35338593;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:6.35338591, 6.35338591000000008;stroke-dashoffset:0;stroke-opacity:0.22745098"
d="m 1453.0989,781.62154 c 23.9669,-54.57782 38.445,-108.40328 35.6635,-132.58713 -1.1441,-9.94765 -4.8323,-23.06494 -17.9461,-63.8267 -16.4474,-51.12333 -19.933,-73.99422 -15.6996,-103.01394 4.1083,-28.16176 8.1925,-44.25677 11.0681,-43.61663 1.3123,0.29212 18.6514,6.83943 38.5313,14.54959 110.9922,43.04668 202.8458,71.3823 288.3228,88.94382 71.3973,14.66878 123.1734,21.45359 258.0615,33.8167 45.7702,4.19504 99.1057,9.22247 118.5234,11.17206 27.2871,2.73971 47.9041,3.59349 90.7839,3.75951 52.243,0.20227 56.5061,-0.0121 73.0884,-3.67659 9.6852,-2.14026 24.4166,-6.44826 32.7365,-9.57332 8.3198,-3.12506 15.2948,-5.51405 15.5,-5.30887 36.6217,17.13624 -45.5962,224.32746 -92.7404,204.25959 -0.4269,0.42695 -4.007,-2.19741 -7.9557,-5.83193 -23.2172,-21.36999 -48.0548,-31.59229 -105.5203,-43.42833 -68.9089,-14.19302 -199.845,-22.63956 -276.5628,-17.84076 -75.0604,4.69512 -138.2415,15.45084 -307.6258,52.36902 -58.1555,12.67527 -71.2619,15.0182 -84.0592,15.02657 -13.7349,0.008 -43.9787,3.55187 -51.9812,6.08931 -2.2933,0.72718 -2.9116,0.36499 -2.1883,-1.28197 z"
id="path1409"
inkscape:connector-curvature="0"
transform="matrix(0.26458333,0,0,0.26458333,-175.00922,84.030005)"
sodipodi:nodetypes="ccccccsssscccccsssccc" />
<flowRoot <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot2022" id="flowRoot2022"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.31386356,0,0,0.32241159,531.98644,204.87159)"><flowRegion transform="matrix(0.14703949,0,0,0.62253449,495.1395,162.20842)"><flowRegion
id="flowRegion2018" id="flowRegion2018"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect
id="rect2016" id="rect2016"
@ -453,7 +469,7 @@
y="137.15285" y="137.15285"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99995804px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara2034">$K_1\prime \# K_2\prime$</flowPara></flowRoot> <flowRoot id="flowPara2034">$K_1\prime \# K_2\prime$</flowPara></flowRoot> <flowRoot
transform="matrix(0.21253723,0,0,0.32241159,187.07909,170.15407)" transform="matrix(0.21253723,0,0,0.32241159,163.80386,171.41219)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:39.99971771px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot2030" id="flowRoot2030"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
@ -465,5 +481,12 @@
height="60.854084" height="60.854084"
width="275.35553" width="275.35553"
id="rect2024" /></flowRegion><flowPara id="rect2024" /></flowRegion><flowPara
id="flowPara2032">$K_1 \# K_2$</flowPara></flowRoot> </g> id="flowPara2032">$K_1 \# K_2$</flowPara></flowRoot> <path
style="opacity:1;fill:url(#linearGradient2166);fill-opacity:1;fill-rule:evenodd;stroke:#161816;stroke-width:6.35338593;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:6.35338591, 6.35338591;stroke-dashoffset:0;stroke-opacity:0.22745098"
d="m 1407.5657,479.81622 c 4.1083,-28.16176 23.5217,-104.97845 26.3973,-104.33831 98.2846,134.34064 189.0852,142.79368 360.7571,166.59264 71.3973,14.66878 123.1734,21.45359 258.0615,33.8167 45.7702,4.19504 97.4245,9.22247 116.8422,11.17206 27.2871,2.73971 47.9041,3.59349 90.7839,3.75951 52.243,0.20227 56.5061,-0.0121 73.0884,-3.67659 9.6852,-2.14026 39.9166,-11.75713 48.2365,-14.88219 8.3198,-3.12506 -0.2052,-0.20518 0,0 36.6217,17.13624 -45.5962,224.32746 -92.7404,204.25959 -0.4269,0.42695 -4.007,-2.19741 -7.9557,-5.83193 -23.2172,-21.36999 -48.0548,-31.59229 -105.5203,-43.42833 -68.9089,-14.19302 -199.845,-22.63956 -276.5628,-17.84076 -75.0604,4.69512 -138.2415,15.45084 -307.6258,52.36902 -58.1555,12.67527 -130.5809,25.33392 -143.3782,25.34229 -39.5679,27.7037 -84.4085,46.11785 -73.1676,33.40926 14.7407,-16.6653 5.3604,-39.94356 25.1604,-57.38008 29.0342,-25.56853 49.1642,-46.71723 7.644,-117.61378 -60.3027,-64.36689 -4.5064,-106.60201 -0.02,-165.7291 z"
id="path1409"
inkscape:connector-curvature="0"
sodipodi:nodetypes="cccssscccccssscssccc"
transform="matrix(0.26458333,0,0,0.26458333,-175.00922,84.030005)" />
</g>
</svg> </svg>

Before

Width:  |  Height:  |  Size: 33 KiB

After

Width:  |  Height:  |  Size: 33 KiB

Binary file not shown.

View File

@ -1,4 +1,4 @@
%% Creator: Inkscape inkscape 0.91, www.inkscape.org %% Creator: Inkscape inkscape 0.92.2, www.inkscape.org
%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 %% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
%% Accompanies image file 'linking_hopf.pdf' (pdf, eps, ps) %% Accompanies image file 'linking_hopf.pdf' (pdf, eps, ps)
%% %%
@ -36,7 +36,7 @@
}% }%
\providecommand\rotatebox[2]{#2}% \providecommand\rotatebox[2]{#2}%
\ifx\svgwidth\undefined% \ifx\svgwidth\undefined%
\setlength{\unitlength}{366.27626434bp}% \setlength{\unitlength}{364.49980969bp}%
\ifx\svgscale\undefined% \ifx\svgscale\undefined%
\relax% \relax%
\else% \else%
@ -48,24 +48,12 @@
\global\let\svgwidth\undefined% \global\let\svgwidth\undefined%
\global\let\svgscale\undefined% \global\let\svgscale\undefined%
\makeatother% \makeatother%
\begin{picture}(1,0.4253775)% \begin{picture}(1,0.42290942)%
\put(1.08208561,3.31474966){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{1.29565154\unitlength}\raggedright \end{minipage}}}% \put(0.29250579,2.25393507){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26372184\unitlength}\raggedright \end{minipage}}}%
\put(0.31441988,2.24496068){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26244278\unitlength}\raggedright \end{minipage}}}% \put(0.29250579,2.25393507){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26372184\unitlength}\raggedright \end{minipage}}}%
\put(0.52914584,2.21633055){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(4.36796878,-3.23770874){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.3817351\unitlength}\raggedright \end{minipage}}}%
\put(4.65665595,-3.18760568){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.04533111\unitlength}\raggedright \end{minipage}}}%
\put(4.56837943,-3.19714904){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38650652\unitlength}\raggedright \end{minipage}}}%
\put(0.05913462,1.69860243){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(1.08208561,3.31474966){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{1.29565154\unitlength}\raggedright \end{minipage}}}%
\put(0.31441988,2.24496068){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26244278\unitlength}\raggedright \end{minipage}}}%
\put(0.52914584,2.21633055){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(4.36796878,-3.23770874){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.3817351\unitlength}\raggedright \end{minipage}}}%
\put(4.65665595,-3.18760568){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.04533111\unitlength}\raggedright \end{minipage}}}%
\put(4.56837943,-3.19714904){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38650652\unitlength}\raggedright \end{minipage}}}%
\put(0.05913462,1.69860243){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(0,0){\includegraphics[width=\unitlength,page=1]{linking_hopf.pdf}}% \put(0,0){\includegraphics[width=\unitlength,page=1]{linking_hopf.pdf}}%
\put(0.70175337,0.25533316){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.31194021\unitlength}\raggedright \shortstack{$lk(\alpha, \beta) = -1$}\end{minipage}}}% \put(0.86572181,0.24480623){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.48025377\unitlength}\raggedright $\Lk(\alpha, \beta) = -1$\\  \end{minipage}}}%
\put(0.02396785,0.29558502){\color[rgb]{1,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.20745851\unitlength}\raggedright $\alpha$\\ \end{minipage}}}% \put(-0.0000008,0.37342144){\color[rgb]{1,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.21983917\unitlength}\raggedright $\alpha$\\  \end{minipage}}}%
\put(0.50082317,0.11358255){\color[rgb]{0,0,1}\makebox(0,0)[lt]{\begin{minipage}{0.20745851\unitlength}\raggedright $\beta$\\ \end{minipage}}}% \put(0.73747224,0.40373095){\color[rgb]{0,0,1}\makebox(0,0)[lt]{\begin{minipage}{0.21983917\unitlength}\raggedright $\beta$\\  \end{minipage}}}%
\end{picture}% \end{picture}%
\endgroup% \endgroup%

View File

@ -10,13 +10,13 @@
xmlns="http://www.w3.org/2000/svg" xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="143.05998mm" width="128.58743mm"
height="118.62276mm" height="54.380836mm"
viewBox="0 0 506.90548 420.31686" viewBox="0 0 455.62479 192.68801"
id="svg2" id="svg2"
version="1.1" version="1.1"
inkscape:version="0.91 r13725" inkscape:version="0.92.2 5c3e80d, 2017-08-06"
sodipodi:docname="linking_number.svg" sodipodi:docname="linking_hopf.svg"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/seifert3d.png" inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/seifert3d.png"
inkscape:export-xdpi="90" inkscape:export-xdpi="90"
inkscape:export-ydpi="90"> inkscape:export-ydpi="90">
@ -33,8 +33,8 @@
<path <path
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
transform="matrix(-0.4,0,0,-0.4,-4,0)" transform="matrix(-0.4,0,0,-0.4,-4,0)"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path10879" /> id="path10879" />
</marker> </marker>
<inkscape:path-effect <inkscape:path-effect
@ -214,8 +214,8 @@
<inkscape:perspective <inkscape:perspective
sodipodi:type="inkscape:persp3d" sodipodi:type="inkscape:persp3d"
inkscape:vp_x="-511.16441 : -343.29587 : 1" inkscape:vp_x="-511.16441 : -343.29587 : 1"
inkscape:vp_y="-295.66613 : 82.94219 : 0" inkscape:vp_y="-295.66613 : 82.942191 : 0"
inkscape:vp_z="2308.1636 : 744.37607 : 1" inkscape:vp_z="2308.1636 : 744.37608 : 1"
inkscape:persp3d-origin="964.63207 : 181.98816 : 1" inkscape:persp3d-origin="964.63207 : 181.98816 : 1"
id="perspective5719" /> id="perspective5719" />
<linearGradient <linearGradient
@ -516,8 +516,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4479" id="path4479"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt" style="fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -854,8 +854,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55793" id="path55793"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -869,8 +869,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4423" id="path4423"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.8,0,0,-0.8,-10,0)" transform="matrix(-0.8,0,0,-0.8,-10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -884,8 +884,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55416" id="path55416"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -899,8 +899,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55229" id="path55229"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -929,8 +929,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path48777" id="path48777"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -944,8 +944,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path13923" id="path13923"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -959,8 +959,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path9163" id="path9163"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e86200;fill-opacity:1;fill-rule:evenodd;stroke:#e86200;stroke-width:1pt;stroke-opacity:1" style="fill:#e86200;fill-opacity:1;fill-rule:evenodd;stroke:#e86200;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -989,9 +989,9 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4556" id="path4556"
d="m 5.77,0 -8.65,5 0,-10 8.65,5 z" d="M 5.77,0 -2.88,5 V -5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="scale(-0.4,-0.4)" transform="scale(-0.4)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1004,8 +1004,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4432" id="path4432"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1pt;stroke-opacity:1" style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1020,8 +1020,8 @@
inkscape:collect="always"> inkscape:collect="always">
<path <path
id="path4429" id="path4429"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1pt;stroke-opacity:1" style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.4,0,0,-0.4,-4,0)" transform="matrix(-0.4,0,0,-0.4,-4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1035,8 +1035,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4420" id="path4420"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1pt;stroke-opacity:1" style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.8,0,0,0.8,10,0)" transform="matrix(0.8,0,0,0.8,10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1323,7 +1323,7 @@
id="path8433" id="path8433"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1353,7 +1353,7 @@
id="path4344" id="path4344"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1366,8 +1366,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7438" id="path7438"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1385,8 +1385,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4323" id="path4323"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1400,8 +1400,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4332" id="path4332"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1433,8 +1433,8 @@
inkscape:stockid="Arrow1Send"> inkscape:stockid="Arrow1Send">
<path <path
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path9487" id="path9487"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1448,8 +1448,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4342" id="path4342"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1463,8 +1463,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path8727" id="path8727"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1478,8 +1478,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path8513" id="path8513"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1493,8 +1493,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path8335" id="path8335"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1508,8 +1508,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7841" id="path7841"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1523,8 +1523,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7687" id="path7687"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1538,8 +1538,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7539" id="path7539"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1553,8 +1553,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7477" id="path7477"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1568,8 +1568,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path7193" id="path7193"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1585,7 +1585,7 @@
id="path6497" id="path6497"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1598,8 +1598,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6281" id="path6281"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1613,8 +1613,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6151" id="path6151"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1628,8 +1628,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6051" id="path6051"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1643,8 +1643,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path5869" id="path5869"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1658,8 +1658,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path5531" id="path5531"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1673,8 +1673,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path5443" id="path5443"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1688,8 +1688,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4913" id="path4913"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1705,7 +1705,7 @@
id="path4354" id="path4354"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1720,7 +1720,7 @@
id="path4701" id="path4701"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(0.6,0.6)" transform="scale(0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1735,7 +1735,7 @@
id="path4351" id="path4351"
style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(0.6,0.6)" transform="scale(0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1748,8 +1748,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4333" id="path4333"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1763,8 +1763,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4327" id="path4327"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.8,0,0,0.8,10,0)" transform="matrix(0.8,0,0,0.8,10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1778,8 +1778,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4330" id="path4330"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.8,0,0,-0.8,-10,0)" transform="matrix(-0.8,0,0,-0.8,-10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1806,16 +1806,16 @@
inkscape:pageopacity="0.0" inkscape:pageopacity="0.0"
inkscape:pageshadow="2" inkscape:pageshadow="2"
inkscape:zoom="0.62698066" inkscape:zoom="0.62698066"
inkscape:cx="354.30539" inkscape:cx="389.39003"
inkscape:cy="261.2876" inkscape:cy="-109.45396"
inkscape:document-units="px" inkscape:document-units="px"
inkscape:current-layer="layer1" inkscape:current-layer="layer1"
showgrid="false" showgrid="false"
inkscape:window-width="1388" inkscape:window-width="1397"
inkscape:window-height="855" inkscape:window-height="855"
inkscape:window-x="0" inkscape:window-x="10"
inkscape:window-y="1" inkscape:window-y="3"
inkscape:window-maximized="1" inkscape:window-maximized="0"
inkscape:snap-global="true" inkscape:snap-global="true"
inkscape:snap-nodes="false" inkscape:snap-nodes="false"
fit-margin-top="0" fit-margin-top="0"
@ -1826,8 +1826,8 @@
<inkscape:grid <inkscape:grid
type="xygrid" type="xygrid"
id="grid66701" id="grid66701"
originx="-373.56347" originx="-401.97735"
originy="311.10994" /> originy="83.160629" />
</sodipodi:namedview> </sodipodi:namedview>
<metadata <metadata
id="metadata7"> id="metadata7">
@ -1845,21 +1845,11 @@
inkscape:label="Layer 1" inkscape:label="Layer 1"
inkscape:groupmode="layer" inkscape:groupmode="layer"
id="layer1" id="layer1"
transform="translate(-373.56348,-943.15502)"> transform="translate(-401.97736,-942.83463)">
<flowRoot <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot6107"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion6109"><rect
id="rect6111"
width="593.20807"
height="435.63715"
x="886.72241"
y="-381.22391" /></flowRegion><flowPara
id="flowPara6113" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot5468" id="flowRoot5468"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion5470"><rect id="flowRegion5470"><rect
id="rect5472" id="rect5472"
width="120.15823" width="120.15823"
@ -1867,72 +1857,11 @@
x="535.25024" x="535.25024"
y="108.57398" y="108.57398"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara5476">$\Sigma$</flowPara></flowRoot> <text id="flowPara5476"
xml:space="preserve" style="font-size:40px;line-height:1.25">$\Sigma$</flowPara></flowRoot> <g
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="633.56152"
y="121.68215"
id="text5488"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5490"
x="633.56152"
y="121.68215" /></text>
<flowRoot
xml:space="preserve"
id="flowRoot4346"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4348"><rect
id="rect4350"
width="174.77559"
height="42.601551"
x="2391.1487"
y="2618.7886" /></flowRegion><flowPara
id="flowPara4352" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot4362"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4364"><rect
id="rect4366"
width="20.754602"
height="91.757187"
x="2523.3228"
y="2595.8491" /></flowRegion><flowPara
id="flowPara4368" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot4370"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4372"><rect
id="rect4374"
width="176.96028"
height="84.110756"
x="2482.9058"
y="2600.2185" /></flowRegion><flowPara
id="flowPara4376" /></flowRoot> <text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="418.36908"
y="358.72156"
id="text65877"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan65879"
x="418.36908"
y="358.72156" /></text>
<g
id="g10730" /> id="g10730" />
<flowRoot <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10743"
xml:space="preserve"><flowRegion
id="flowRegion10745"><rect
y="-381.22391"
x="886.72241"
height="435.63715"
width="593.20807"
id="rect10747" /></flowRegion><flowPara
id="flowPara10749" /></flowRoot> <flowRoot
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10751" id="flowRoot10751"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
id="flowRegion10753"><rect id="flowRegion10753"><rect
@ -1942,86 +1871,36 @@
height="41.509205" height="41.509205"
width="120.15823" width="120.15823"
id="rect10755" /></flowRegion><flowPara id="rect10755" /></flowRegion><flowPara
id="flowPara10757">$\Sigma$</flowPara></flowRoot> <text id="flowPara10757"
sodipodi:linespacing="125%" style="font-size:40px;line-height:1.25">$\Sigma$</flowPara></flowRoot> <g
id="text10759"
y="121.68215"
x="633.56152"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
xml:space="preserve"><tspan
y="121.68215"
x="633.56152"
id="tspan10761"
sodipodi:role="line" /></text>
<flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10763"
xml:space="preserve"><flowRegion
id="flowRegion10765"><rect
y="2618.7886"
x="2391.1487"
height="42.601551"
width="174.77559"
id="rect10767" /></flowRegion><flowPara
id="flowPara10769" /></flowRoot> <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10771"
xml:space="preserve"><flowRegion
id="flowRegion10773"><rect
y="2595.8491"
x="2523.3228"
height="91.757187"
width="20.754602"
id="rect10775" /></flowRegion><flowPara
id="flowPara10777" /></flowRoot> <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10779"
xml:space="preserve"><flowRegion
id="flowRegion10781"><rect
y="2600.2185"
x="2482.9058"
height="84.110756"
width="176.96028"
id="rect10783" /></flowRegion><flowPara
id="flowPara10785" /></flowRoot> <text
sodipodi:linespacing="125%"
id="text10787"
y="358.72156"
x="418.36908"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
xml:space="preserve"><tspan
y="358.72156"
x="418.36908"
id="tspan10789"
sodipodi:role="line" /></text>
<g
id="g10791" /> id="g10791" />
<path <path
style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:3.00000024;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#Arrow1Mend)" style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.96182537;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#Arrow1Mend)"
d="m 571.83991,960.39603 c -45.58295,-40.8561 -109.92286,4.8366 -122.8371,55.04087 -40.32235,92.129 -36.89581,203.373 7.90164,293.1847 19.25682,45.5865 82.73467,75.3104 120.69479,32.9689 51.69338,-56.3667 63.14087,-138.7687 59.51809,-212.5595 -3.31047,-42.4799 -11.83963,-85.2803 -30.83234,-123.7066" d="m 589.44085,951.01189 c -42.77536,-18.61846 -103.15238,2.20408 -115.2712,25.08258 -37.83878,41.98393 -34.62329,92.67873 7.41496,133.60673 18.07073,20.7741 77.63879,34.3195 113.26084,15.0242 48.50943,-25.6868 59.25183,-63.2381 55.85219,-96.8652 -3.10657,-19.3584 -11.11039,-38.8629 -28.93328,-56.37408"
id="path10803" id="path10803"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
<path <path
style="opacity:0.98999999;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:3.00000024;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#marker10877)" style="opacity:0.98999999;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.96182537;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#marker10877)"
d="m 621.45422,1348.3293 c 111.782,52.3419 158.27184,-109.1784 150.8069,-193.4116 7.68591,-83.4873 -48.75026,-259.42607 -156.9706,-185.28197 -80.45864,86.92277 -72.27336,231.12327 -28.28139,333.76507" d="m 635.99927,1127.7963 c 104.89701,23.8526 148.52341,-49.7535 141.51826,-88.1393 7.21251,-38.0458 -45.74759,-118.22258 -147.30232,-84.4345 -75.50295,39.61142 -67.82183,105.3248 -26.53946,152.0995"
id="path10805" id="path10805"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
<flowRoot <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot11265" id="flowRoot11265"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.99991798px;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.18905502,0,0,0.38885732,688.67911,1005.2677)"><flowRegion transform="matrix(0.41584592,0,0,1.4680523,568.26312,653.02114)"><flowRegion
id="flowRegion11267"><rect id="flowRegion11267"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.99991798px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect
id="rect11269" id="rect11269"
width="526.19366" width="526.19366"
height="60.59967" height="60.59967"
x="548.66125" x="548.66125"
y="252.68971" y="252.68971"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.99991798px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara11405">$lk(\alpha, \beta) = -1$</flowPara><flowPara id="flowPara4663">$\Lk(\alpha, \beta) = -1$</flowPara><flowPara
id="flowPara11407"></flowPara></flowRoot> <flowRoot id="flowPara4665"> </flowPara></flowRoot> <flowRoot
transform="matrix(0.44914761,0,0,0.63606431,125.64185,831.20396)" transform="matrix(0.42148328,0,0,0.28985975,170.72545,892.138)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#ff0000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#ff0000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot11275" id="flowRoot11275"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
id="flowRegion11277"><rect id="flowRegion11277"><rect
@ -2031,12 +1910,14 @@
height="78.152328" height="78.152328"
width="237.64688" width="237.64688"
id="rect11279" /></flowRegion><flowPara id="rect11279" /></flowRegion><flowPara
id="flowPara11285">$\alpha$</flowPara><flowPara id="flowPara11285"
id="flowPara11287"></flowPara></flowRoot> <flowRoot style="font-size:40.00024796px;line-height:1.25">$\alpha$</flowPara><flowPara
id="flowPara11287"
style="font-size:40.00024796px;line-height:1.25"> </flowPara></flowRoot> <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot11289" id="flowRoot11289"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.44914761,0,0,0.63606431,483.70714,800.9)"><flowRegion transform="matrix(0.42148328,0,0,0.28985975,506.73644,878.32824)"><flowRegion
id="flowRegion11291"><rect id="flowRegion11291"><rect
id="rect11293" id="rect11293"
width="237.64688" width="237.64688"
@ -2044,6 +1925,8 @@
x="548.66125" x="548.66125"
y="252.68971" y="252.68971"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#0000ff" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#0000ff" /></flowRegion><flowPara
id="flowPara11317">$\beta$</flowPara><flowPara id="flowPara11317"
id="flowPara11319"></flowPara></flowRoot> </g> style="font-size:40.00024796px;line-height:1.25">$\beta$</flowPara><flowPara
id="flowPara11319"
style="font-size:40.00024796px;line-height:1.25"> </flowPara></flowRoot> </g>
</svg> </svg>

Before

Width:  |  Height:  |  Size: 75 KiB

After

Width:  |  Height:  |  Size: 69 KiB

Binary file not shown.

View File

@ -1,4 +1,4 @@
%% Creator: Inkscape inkscape 0.91, www.inkscape.org %% Creator: Inkscape inkscape 0.92.2, www.inkscape.org
%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 %% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010
%% Accompanies image file 'linking_torus_6_2.pdf' (pdf, eps, ps) %% Accompanies image file 'linking_torus_6_2.pdf' (pdf, eps, ps)
%% %%
@ -36,7 +36,7 @@
}% }%
\providecommand\rotatebox[2]{#2}% \providecommand\rotatebox[2]{#2}%
\ifx\svgwidth\undefined% \ifx\svgwidth\undefined%
\setlength{\unitlength}{364.39046544bp}% \setlength{\unitlength}{318.45018282bp}%
\ifx\svgscale\undefined% \ifx\svgscale\undefined%
\relax% \relax%
\else% \else%
@ -48,24 +48,12 @@
\global\let\svgwidth\undefined% \global\let\svgwidth\undefined%
\global\let\svgscale\undefined% \global\let\svgscale\undefined%
\makeatother% \makeatother%
\begin{picture}(1,0.42240282)% \begin{picture}(1,0.48333952)%
\put(1.08838441,3.32395633){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{1.30235674\unitlength}\raggedright \end{minipage}}}% \put(0.36244031,2.57302301){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.30185744\unitlength}\raggedright \end{minipage}}}%
\put(0.31674589,2.24863096){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26380097\unitlength}\raggedright \end{minipage}}}% \put(0.36244031,2.57302301){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.30185744\unitlength}\raggedright \end{minipage}}}%
\put(0.53258309,2.21985267){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(4.39127254,-3.26241245){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38371064\unitlength}\raggedright \end{minipage}}}%
\put(4.68145371,-3.21205009){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.04556571\unitlength}\raggedright \end{minipage}}}%
\put(4.59272034,-3.22164284){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38850675\unitlength}\raggedright \end{minipage}}}%
\put(0.06013949,1.69944519){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(1.08838441,3.32395633){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{1.30235674\unitlength}\raggedright \end{minipage}}}%
\put(0.31674589,2.24863096){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.26380097\unitlength}\raggedright \end{minipage}}}%
\put(0.53258309,2.21985267){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(4.39127254,-3.26241245){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38371064\unitlength}\raggedright \end{minipage}}}%
\put(4.68145371,-3.21205009){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.04556571\unitlength}\raggedright \end{minipage}}}%
\put(4.59272034,-3.22164284){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.38850675\unitlength}\raggedright \end{minipage}}}%
\put(0.06013949,1.69944519){\color[rgb]{0,0,0}\makebox(0,0)[lb]{\smash{}}}%
\put(0,0){\includegraphics[width=\unitlength,page=1]{linking_torus_6_2.pdf}}% \put(0,0){\includegraphics[width=\unitlength,page=1]{linking_torus_6_2.pdf}}%
\put(0.70608389,0.2487067){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.31355455\unitlength}\raggedright \shortstack{$lk(\alpha, \beta) = 3$}\end{minipage}}}% \put(0.80794467,0.26923855){\color[rgb]{0,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.66035143\unitlength}\raggedright \shortstack{$\Lk(\alpha, \beta) = 3$}\end{minipage}}}%
\put(0.02479073,0.28916687){\color[rgb]{1,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.20853214\unitlength}\raggedright $\alpha$\\ \end{minipage}}}% \put(0.02836708,0.33088267){\color[rgb]{1,0,0}\makebox(0,0)[lt]{\begin{minipage}{0.23861542\unitlength}\raggedright $\alpha$\\  \end{minipage}}}%
\put(0.50411385,0.1062225){\color[rgb]{0,0,1}\makebox(0,0)[lt]{\begin{minipage}{0.20853214\unitlength}\raggedright $\beta$\\ \end{minipage}}}% \put(0.57683835,0.12154638){\color[rgb]{0,0,1}\makebox(0,0)[lt]{\begin{minipage}{0.23861542\unitlength}\raggedright $\beta$\\  \end{minipage}}}%
\end{picture}% \end{picture}%
\endgroup% \endgroup%

View File

@ -10,13 +10,13 @@
xmlns="http://www.w3.org/2000/svg" xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="128.54886mm" width="112.34215mm"
height="54.2994mm" height="54.2994mm"
viewBox="0 0 455.4881 192.39945" viewBox="0 0 398.06274 192.39946"
id="svg2" id="svg2"
version="1.1" version="1.1"
inkscape:version="0.91 r13725" inkscape:version="0.92.2 5c3e80d, 2017-08-06"
sodipodi:docname="linking_torus_4_2.svg" sodipodi:docname="linking_torus_6_2.svg"
inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/seifert3d.png" inkscape:export-filename="/Users/Kasia/lectures_on_knot_theory/images/seifert3d.png"
inkscape:export-xdpi="90" inkscape:export-xdpi="90"
inkscape:export-ydpi="90"> inkscape:export-ydpi="90">
@ -47,9 +47,9 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path13821" id="path13821"
d="m 5.77,0 -8.65,5 0,-10 8.65,5 z" d="M 5.77,0 -2.88,5 V -5 Z"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.00000003pt;stroke-opacity:1"
transform="scale(0.8,0.8)" transform="scale(0.8)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -62,9 +62,9 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path13824" id="path13824"
d="m 5.77,0 -8.65,5 0,-10 8.65,5 z" d="M 5.77,0 -2.88,5 V -5 Z"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.00000003pt;stroke-opacity:1"
transform="scale(0.4,0.4)" transform="scale(0.4)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -78,8 +78,8 @@
<path <path
inkscape:connector-curvature="0" inkscape:connector-curvature="0"
transform="matrix(-0.4,0,0,-0.4,-4,0)" transform="matrix(-0.4,0,0,-0.4,-4,0)"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path10879" /> id="path10879" />
</marker> </marker>
<inkscape:path-effect <inkscape:path-effect
@ -258,10 +258,10 @@
is_visible="true" /> is_visible="true" />
<inkscape:perspective <inkscape:perspective
sodipodi:type="inkscape:persp3d" sodipodi:type="inkscape:persp3d"
inkscape:vp_x="-511.16443 : -343.29585 : 1" inkscape:vp_x="-511.16441 : -343.29587 : 1"
inkscape:vp_y="-295.66614 : 82.942188 : 0" inkscape:vp_y="-295.66612 : 82.942192 : 0"
inkscape:vp_z="2308.1637 : 744.37604 : 1" inkscape:vp_z="2308.1636 : 744.37608 : 1"
inkscape:persp3d-origin="964.63209 : 181.98816 : 1" inkscape:persp3d-origin="964.63204 : 181.98817 : 1"
id="perspective5719" /> id="perspective5719" />
<linearGradient <linearGradient
id="linearGradient4984" id="linearGradient4984"
@ -561,8 +561,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4479" id="path4479"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt" style="fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -899,8 +899,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55793" id="path55793"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -914,8 +914,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4423" id="path4423"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1pt;stroke-opacity:1" style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.8,0,0,-0.8,-10,0)" transform="matrix(-0.8,0,0,-0.8,-10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -929,8 +929,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55416" id="path55416"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -944,8 +944,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path55229" id="path55229"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -974,8 +974,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path48777" id="path48777"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -989,8 +989,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path13923" id="path13923"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1004,8 +1004,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path9163" id="path9163"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1pt;stroke-opacity:1" style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1034,9 +1034,9 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4556" id="path4556"
d="m 5.77,0 -8.65,5 0,-10 8.65,5 z" d="M 5.77,0 -2.88,5 V -5 Z"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1pt;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:1.00000003pt;stroke-opacity:1"
transform="scale(-0.4,-0.4)" transform="scale(-0.4)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1049,8 +1049,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4432" id="path4432"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1pt;stroke-opacity:1" style="fill:#18e404;fill-opacity:1;fill-rule:evenodd;stroke:#18e404;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1064,8 +1064,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4420" id="path4420"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1pt;stroke-opacity:1" style="fill:#ff0000;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.8,0,0,0.8,10,0)" transform="matrix(0.8,0,0,0.8,10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1352,7 +1352,7 @@
id="path8433" id="path8433"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1383,7 +1383,7 @@
id="path4344" id="path4344"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1396,8 +1396,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7438" id="path7438"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1415,8 +1415,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4323" id="path4323"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1430,8 +1430,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4332" id="path4332"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1463,8 +1463,8 @@
inkscape:stockid="Arrow1Send"> inkscape:stockid="Arrow1Send">
<path <path
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path9487" id="path9487"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1478,8 +1478,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4342" id="path4342"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.2,0,0,-0.2,-1.2,0)" transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1493,8 +1493,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path8727" id="path8727"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1508,8 +1508,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path8513" id="path8513"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1523,8 +1523,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path8335" id="path8335"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1538,8 +1538,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7841" id="path7841"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1553,8 +1553,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7687" id="path7687"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1568,8 +1568,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7539" id="path7539"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1583,8 +1583,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path7477" id="path7477"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1" style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1598,8 +1598,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path7193" id="path7193"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1615,7 +1615,7 @@
id="path6497" id="path6497"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1628,8 +1628,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6281" id="path6281"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1643,8 +1643,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6151" id="path6151"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1658,8 +1658,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path6051" id="path6051"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1673,8 +1673,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path5869" id="path5869"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1688,8 +1688,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path5531" id="path5531"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1703,8 +1703,8 @@
inkscape:stockid="Arrow1Sstart"> inkscape:stockid="Arrow1Sstart">
<path <path
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
id="path5443" id="path5443"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1718,8 +1718,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4913" id="path4913"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1pt;stroke-opacity:1" style="fill:#e30000;fill-opacity:1;fill-rule:evenodd;stroke:#e30000;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.2,0,0,0.2,1.2,0)" transform="matrix(0.2,0,0,0.2,1.2,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1735,7 +1735,7 @@
id="path4354" id="path4354"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(-0.6,-0.6)" transform="scale(-0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1750,7 +1750,7 @@
id="path4701" id="path4701"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(0.6,0.6)" transform="scale(0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1765,7 +1765,7 @@
id="path4351" id="path4351"
style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1" style="fill:#0000ff;fill-opacity:1;fill-rule:evenodd;stroke:#0000ff;stroke-width:0.625;stroke-linejoin:round;stroke-opacity:1"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z" d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="scale(0.6,0.6)" transform="scale(0.6)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
<marker <marker
@ -1778,8 +1778,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4333" id="path4333"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1pt;stroke-opacity:1" style="fill:#1aa0ed;fill-opacity:1;fill-rule:evenodd;stroke:#1aa0ed;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.4,0,0,0.4,4,0)" transform="matrix(0.4,0,0,0.4,4,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1793,8 +1793,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4327" id="path4327"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(0.8,0,0,0.8,10,0)" transform="matrix(0.8,0,0,0.8,10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1808,8 +1808,8 @@
inkscape:isstock="true"> inkscape:isstock="true">
<path <path
id="path4330" id="path4330"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 Z" d="M 0,0 5,-5 -12.5,0 5,5 Z"
style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1pt;stroke-opacity:1" style="fill:#00d800;fill-opacity:1;fill-rule:evenodd;stroke:#00d800;stroke-width:1.00000003pt;stroke-opacity:1"
transform="matrix(-0.8,0,0,-0.8,-10,0)" transform="matrix(-0.8,0,0,-0.8,-10,0)"
inkscape:connector-curvature="0" /> inkscape:connector-curvature="0" />
</marker> </marker>
@ -1835,13 +1835,13 @@
borderopacity="1.0" borderopacity="1.0"
inkscape:pageopacity="0.0" inkscape:pageopacity="0.0"
inkscape:pageshadow="2" inkscape:pageshadow="2"
inkscape:zoom="1.6648843" inkscape:zoom="0.14715637"
inkscape:cx="216.64946" inkscape:cx="250.88609"
inkscape:cy="102.11306" inkscape:cy="270.29308"
inkscape:document-units="px" inkscape:document-units="px"
inkscape:current-layer="layer1" inkscape:current-layer="layer1"
showgrid="false" showgrid="false"
inkscape:window-width="1388" inkscape:window-width="1397"
inkscape:window-height="855" inkscape:window-height="855"
inkscape:window-x="0" inkscape:window-x="0"
inkscape:window-y="1" inkscape:window-y="1"
@ -1858,8 +1858,8 @@
<inkscape:grid <inkscape:grid
type="xygrid" type="xygrid"
id="grid66701" id="grid66701"
originx="-390.97624" originx="-390.9762"
originy="80.436627" /> originy="80.436871" />
</sodipodi:namedview> </sodipodi:namedview>
<metadata <metadata
id="metadata7"> id="metadata7">
@ -1877,21 +1877,11 @@
inkscape:label="Layer 1" inkscape:label="Layer 1"
inkscape:groupmode="layer" inkscape:groupmode="layer"
id="layer1" id="layer1"
transform="translate(-390.97626,-940.39914)"> transform="translate(-390.97626,-940.39913)">
<flowRoot <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot6107"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion6109"><rect
id="rect6111"
width="593.20807"
height="435.63715"
x="886.72241"
y="-381.22391" /></flowRegion><flowPara
id="flowPara6113" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot5468" id="flowRoot5468"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion5470"><rect id="flowRegion5470"><rect
id="rect5472" id="rect5472"
width="120.15823" width="120.15823"
@ -1899,72 +1889,11 @@
x="535.25024" x="535.25024"
y="108.57398" y="108.57398"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara5476">$\Sigma$</flowPara></flowRoot> <text id="flowPara5476"
xml:space="preserve" style="font-size:40px;line-height:1.25">$\Sigma$</flowPara></flowRoot> <g
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="633.56152"
y="121.68215"
id="text5488"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan5490"
x="633.56152"
y="121.68215" /></text>
<flowRoot
xml:space="preserve"
id="flowRoot4346"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4348"><rect
id="rect4350"
width="174.77559"
height="42.601551"
x="2391.1487"
y="2618.7886" /></flowRegion><flowPara
id="flowPara4352" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot4362"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4364"><rect
id="rect4366"
width="20.754602"
height="91.757187"
x="2523.3228"
y="2595.8491" /></flowRegion><flowPara
id="flowPara4368" /></flowRoot> <flowRoot
xml:space="preserve"
id="flowRoot4370"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"><flowRegion
id="flowRegion4372"><rect
id="rect4374"
width="176.96028"
height="84.110756"
x="2482.9058"
y="2600.2185" /></flowRegion><flowPara
id="flowPara4376" /></flowRoot> <text
xml:space="preserve"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
x="418.36908"
y="358.72156"
id="text65877"
sodipodi:linespacing="125%"><tspan
sodipodi:role="line"
id="tspan65879"
x="418.36908"
y="358.72156" /></text>
<g
id="g10730" /> id="g10730" />
<flowRoot <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10743"
xml:space="preserve"><flowRegion
id="flowRegion10745"><rect
y="-381.22391"
x="886.72241"
height="435.63715"
width="593.20807"
id="rect10747" /></flowRegion><flowPara
id="flowPara10749" /></flowRoot> <flowRoot
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10751" id="flowRoot10751"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
id="flowRegion10753"><rect id="flowRegion10753"><rect
@ -1974,59 +1903,8 @@
height="41.509205" height="41.509205"
width="120.15823" width="120.15823"
id="rect10755" /></flowRegion><flowPara id="rect10755" /></flowRegion><flowPara
id="flowPara10757">$\Sigma$</flowPara></flowRoot> <text id="flowPara10757"
sodipodi:linespacing="125%" style="font-size:40px;line-height:1.25">$\Sigma$</flowPara></flowRoot> <g
id="text10759"
y="121.68215"
x="633.56152"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
xml:space="preserve"><tspan
y="121.68215"
x="633.56152"
id="tspan10761"
sodipodi:role="line" /></text>
<flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10763"
xml:space="preserve"><flowRegion
id="flowRegion10765"><rect
y="2618.7886"
x="2391.1487"
height="42.601551"
width="174.77559"
id="rect10767" /></flowRegion><flowPara
id="flowPara10769" /></flowRoot> <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10771"
xml:space="preserve"><flowRegion
id="flowRegion10773"><rect
y="2595.8491"
x="2523.3228"
height="91.757187"
width="20.754602"
id="rect10775" /></flowRegion><flowPara
id="flowPara10777" /></flowRoot> <flowRoot
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot10779"
xml:space="preserve"><flowRegion
id="flowRegion10781"><rect
y="2600.2185"
x="2482.9058"
height="84.110756"
width="176.96028"
id="rect10783" /></flowRegion><flowPara
id="flowPara10785" /></flowRoot> <text
sodipodi:linespacing="125%"
id="text10787"
y="358.72156"
x="418.36908"
style="font-style:normal;font-weight:normal;font-size:40px;line-height:125%;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
xml:space="preserve"><tspan
y="358.72156"
x="418.36908"
id="tspan10789"
sodipodi:role="line" /></text>
<g
id="g10791" /> id="g10791" />
<path <path
style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:2.72199988;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#marker9976)" style="opacity:1;fill:none;fill-opacity:1;fill-rule:evenodd;stroke:#ff0000;stroke-width:2.72199988;stroke-linejoin:bevel;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;marker-mid:url(#marker9976)"
@ -2043,18 +1921,19 @@
<flowRoot <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot11265" id="flowRoot11265"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00006485px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.9998827px;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.18511882,0,0,0.17932661,611.02155,974.20166)"><flowRegion transform="matrix(0.34071173,0,0,1.1975799,525.65361,723.00863)"><flowRegion
id="flowRegion11267"><rect id="flowRegion11267"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.9998827px;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start"><rect
id="rect11269" id="rect11269"
width="771.50641" width="771.50641"
height="67.298538" height="67.298538"
x="548.66125" x="548.66125"
y="252.68971" y="252.68971"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00006485px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:11.9998827px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start" /></flowRegion><flowPara
id="flowPara18462">\shortstack{$lk(\alpha, \beta) = 3$}</flowPara></flowRoot> <flowRoot id="flowPara3435">\shortstack{$\Lk(\alpha, \beta) = 3$}</flowPara></flowRoot> <flowRoot
transform="matrix(0.39968512,0,0,0.29332933,182.9764,926.96522)" transform="matrix(0.39968512,0,0,0.29332933,182.9764,926.96522)"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#ff0000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#ff0000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
id="flowRoot11275" id="flowRoot11275"
xml:space="preserve"><flowRegion xml:space="preserve"><flowRegion
id="flowRegion11277"><rect id="flowRegion11277"><rect
@ -2064,11 +1943,13 @@
height="78.152328" height="78.152328"
width="237.64688" width="237.64688"
id="rect11279" /></flowRegion><flowPara id="rect11279" /></flowRegion><flowPara
id="flowPara11285">$\alpha$</flowPara><flowPara id="flowPara11285"
id="flowPara11287"></flowPara></flowRoot> <flowRoot style="font-size:40.00024796px;line-height:1.25">$\alpha$</flowPara><flowPara
id="flowPara11287"
style="font-size:40.00024796px;line-height:1.25"> </flowPara></flowRoot> <flowRoot
xml:space="preserve" xml:space="preserve"
id="flowRoot11289" id="flowRoot11289"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0.01%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;letter-spacing:0px;word-spacing:0px;writing-mode:lr-tb;text-anchor:start;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
transform="matrix(0.39968512,0,0,0.29332933,401.30238,1010.2942)"><flowRegion transform="matrix(0.39968512,0,0,0.29332933,401.30238,1010.2942)"><flowRegion
id="flowRegion11291"><rect id="flowRegion11291"><rect
id="rect11293" id="rect11293"
@ -2077,6 +1958,8 @@
x="548.66125" x="548.66125"
y="252.68971" y="252.68971"
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#0000ff" /></flowRegion><flowPara style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:40.00024796px;line-height:125%;font-family:sans-serif;-inkscape-font-specification:'sans-serif, Normal';text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#0000ff" /></flowRegion><flowPara
id="flowPara11317">$\beta$</flowPara><flowPara id="flowPara11317"
id="flowPara11319"></flowPara></flowRoot> </g> style="font-size:40.00024796px;line-height:1.25">$\beta$</flowPara><flowPara
id="flowPara11319"
style="font-size:40.00024796px;line-height:1.25"> </flowPara></flowRoot> </g>
</svg> </svg>

Before

Width:  |  Height:  |  Size: 76 KiB

After

Width:  |  Height:  |  Size: 71 KiB

View File

@ -48,13 +48,16 @@
{\bfseries}{}% {\bfseries}{}%
{\newline}{}% {\newline}{}%
\theoremstyle{break} \theoremstyle{break}
\newtheorem{lemma}{Lemma}[section] \newtheorem{lemma}{Lemma}[section]
\newtheorem{fact}{Fact}[section] \newtheorem{fact}{Fact}[section]
\newtheorem{corollary}{Corollary}[section] \newtheorem{corollary}{Corollary}[section]
\newtheorem{proposition}{Proposition}[section] \newtheorem{proposition}{Proposition}[section]
\newtheorem{example}{Example}[section] \newtheorem{example}{Example}[section]
\newtheorem{problem}{Problem}[section]
\newtheorem{definition}{Definition}[section] \newtheorem{definition}{Definition}[section]
\newtheorem{theorem}{Theorem}[section] \newtheorem{theorem}{Theorem}[section]
\newcommand{\contradiction}{% \newcommand{\contradiction}{%
\ensuremath{{\Rightarrow\mspace{-2mu}\Leftarrow}}} \ensuremath{{\Rightarrow\mspace{-2mu}\Leftarrow}}}
\newcommand*\quot[2]{{^{\textstyle #1}\big/_{\textstyle #2}}} \newcommand*\quot[2]{{^{\textstyle #1}\big/_{\textstyle #2}}}
@ -66,6 +69,10 @@
\newcommand{\sdots}{\smash{\vdots}} \newcommand{\sdots}{\smash{\vdots}}
\AtBeginDocument{\renewcommand{\setminus}{% \AtBeginDocument{\renewcommand{\setminus}{%
\mathbin{\backslash}}} \mathbin{\backslash}}}
@ -73,6 +80,8 @@
\DeclareMathOperator{\Hom}{Hom} \DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\rank}{rank}
\DeclareMathOperator{\Gl}{Gl} \DeclareMathOperator{\Gl}{Gl}
\DeclareMathOperator{\Lk}{lk}
\titleformat{\section}{\normalfont \fontsize{12}{15} \bfseries}{% \titleformat{\section}{\normalfont \fontsize{12}{15} \bfseries}{%
Lecture\ \thesection}% Lecture\ \thesection}%
@ -263,12 +272,12 @@ Remark: there are knots that admit non isotopic Seifert surfaces of minimal genu
\begin{definition} \begin{definition}
Suppose $\alpha$ and $\beta$ are two simple closed curves in $\mathbb{R}^3$. Suppose $\alpha$ and $\beta$ are two simple closed curves in $\mathbb{R}^3$.
On a diagram $L$ consider all crossings between $\alpha$ and $\beta$. Let $N_+$ be the number of positive crossings, $N_-$ - negative. Then the linking number: $lk(\alpha, \beta) = \frac{1}{2}(N_+ - N_-)$. On a diagram $L$ consider all crossings between $\alpha$ and $\beta$. Let $N_+$ be the number of positive crossings, $N_-$ - negative. Then the linking number: $\Lk(\alpha, \beta) = \frac{1}{2}(N_+ - N_-)$.
\end{definition} \end{definition}
\hfill \hfill
\\ \\
Let $\alpha$ and $\beta$ be two disjoint simple cross curves in $S^3$. Let $\alpha$ and $\beta$ be two disjoint simple cross curves in $S^3$.
Let $\nu(\beta)$ be a tubular neighbourhood of $\beta$. The linking number can be interpreted via first homology group, where $lk(\alpha, \beta)$ is equal to evaluation of $\alpha$ as element of first homology group of the complement of $\beta$: Let $\nu(\beta)$ be a tubular neighbourhood of $\beta$. The linking number can be interpreted via first homology group, where $\Lk(\alpha, \beta)$ is equal to evaluation of $\alpha$ as element of first homology group of the complement of $\beta$:
\[ \[
\alpha \in H_1(S^3 \setminus \nu(\beta), \mathbb{Z}) \cong \mathbb{Z}.\] \alpha \in H_1(S^3 \setminus \nu(\beta), \mathbb{Z}) \cong \mathbb{Z}.\]
@ -306,7 +315,7 @@ where $b_1$ is first Betti number of $\Sigma$.
\subsection{Seifert matrix} \subsection{Seifert matrix}
Let $L$ be a link and $\Sigma$ be an oriented Seifert surface for $L$. Choose a basis for $H_1(\Sigma, \mathbb{Z})$ consisting of simple closed $\alpha_1, \dots, \alpha_n$. Let $L$ be a link and $\Sigma$ be an oriented Seifert surface for $L$. Choose a basis for $H_1(\Sigma, \mathbb{Z})$ consisting of simple closed $\alpha_1, \dots, \alpha_n$.
Let $\alpha_1^+, \dots \alpha_n^+$ be copies of $\alpha_i$ lifted up off the surface (push up along a vector field normal to $\Sigma$). Note that elements $\alpha_i$ are contained in the Seifert surface while all $\alpha_i^+$ are don't intersect the surface. Let $\alpha_1^+, \dots \alpha_n^+$ be copies of $\alpha_i$ lifted up off the surface (push up along a vector field normal to $\Sigma$). Note that elements $\alpha_i$ are contained in the Seifert surface while all $\alpha_i^+$ are don't intersect the surface.
Let $lk(\alpha_i, \alpha_j^+) = \{a_{ij}\}$. Then the matrix $S = \{a_{ij}\}_{i, j =1}^n$ is called a Seifert matrix for $L$. Note that by choosing a different basis we get a different matrix. Let $\Lk(\alpha_i, \alpha_j^+) = \{a_{ij}\}$. Then the matrix $S = \{a_{ij}\}_{i, j =1}^n$ is called a Seifert matrix for $L$. Note that by choosing a different basis we get a different matrix.
\begin{figure}[h] \begin{figure}[h]
\fontsize{20}{10}\selectfont \fontsize{20}{10}\selectfont
@ -581,19 +590,37 @@ g_{\big| \partial D^2} = f_{\big| \partial D^2.}
&F: \mathbb{C}^2 \rightarrow \mathbb{C} \text{ a polynomial} \\ &F: \mathbb{C}^2 \rightarrow \mathbb{C} \text{ a polynomial} \\
&F(0) = 0 &F(0) = 0
\end{align*} \end{align*}
Fact (Milnor Singular Points of Complex Hypersurfaces):
\end{example}
%\end{comment}
An oriented knot is called negative amphichiral if the mirror image $m(K)$ if $K$ is equivalent the reverse knot of $K$. \\ \end{example}
\begin{example}[Problem] ????????????
Prove that if $K$ is negative amphichiral, then $K \# K$ in \\
$\mathbf{C}$ \noindent
as a corollary we see that $K_T^{n, }$ ???? \\
is not slice unless $m=0$.
\begin{theorem}
The map $j: \mathscr{C} \longrightarrow \mathbb{Z}^{\infty}$ is a surjection that maps ${K_n}$ to a linear independent set. Moreover $\mathscr{C} \cong \mathbb{Z}$
\end{theorem}
\begin{fact}[Milnor Singular Points of Complex Hypersurfaces]
\end{fact}
%\end{comment}
\noindent
An oriented knot is called negative amphichiral if the mirror image $m(K)$ of $K$ is equivalent the reverse knot of $K$: $K^r$. \\
\begin{problem}
Prove that if $K$ is negative amphichiral, then $K \# K = 0$ in
$\mathscr{C}$.
%
%\\
%Hint: $ -K = m(K)^r = (K^r)^r = K$
\end{problem}
\begin{example}
Figure 8 knot is negative amphichiral.
\end{example} \end{example}
% %
% %
% %
\section{\hfill\DTMdate{2019-03-18}} \section{Concordance group \hfill\DTMdate{2019-03-18}}
\begin{definition} \begin{definition}
A knot $K$ is called (smoothly) slice if $K$ is smoothly concordant to an unknot. \\ A knot $K$ is called (smoothly) slice if $K$ is smoothly concordant to an unknot. \\
A knot $K$ is smoothly slice if and only if $K$ bounds a smoothly embedded disk in $B^4$. A knot $K$ is smoothly slice if and only if $K$ bounds a smoothly embedded disk in $B^4$.
@ -628,7 +655,7 @@ $K_1 \# K_2 \sim {K_1}^{\prime} \# {K_2}^{\prime}$.
\fontsize{10}{10}\selectfont \fontsize{10}{10}\selectfont
\centering{ \centering{
\def\svgwidth{\linewidth} \def\svgwidth{\linewidth}
\resizebox{0.8\textwidth}{!}{\input{images/concordance_sum.pdf_tex}} \resizebox{1\textwidth}{!}{\input{images/concordance_sum.pdf_tex}}
} }
\caption{Sketch for Fakt \ref{fakt:concordance_connected}.} \caption{Sketch for Fakt \ref{fakt:concordance_connected}.}
\label{fig:concordance_sum} \label{fig:concordance_sum}
@ -639,23 +666,40 @@ $K_1 \# K_2 \sim {K_1}^{\prime} \# {K_2}^{\prime}$.
$K \# m(K) \sim $ the unknot. $K \# m(K) \sim $ the unknot.
\end{fact} \end{fact}
\noindent \noindent
Let $\mathscr{C}$ denote all equivalent classes for knots. $\mathscr{C}$ is a group under taking connected sums, with neutral element (the class defined by) an unknot and inverse element (a class defined by) a mirror image.\\ \begin{theorem}
The figure eight knot is a torsion element in $\mathscr{C}$ ($2K \sim $ the unknot).\\ Let $\mathscr{C}$ denote a set of all equivalent classes for knots and $\{0\}$ denote class of all knots concordant to a trivial knot.
\begin{example}[Problem] $\mathscr{C}$ is a group under taking connected sums. The neutral element in the group is $\{0\}$ and the inverse element of an element $\{K\} \in \mathscr{C}$ is $-\{K\} = \{mK\}$.
Are there in concordance group torsion elements that are not $2$ torsion elements? (open) \end{theorem}
\end{example} \begin{fact}
The figure eight knot is a torsion element in $\mathscr{C}$ ($2K \sim $ the unknot).
\end{fact}
\begin{problem}[open]
Are there in concordance group torsion elements that are not $2$ torsion elements?
\end{problem}
\noindent \noindent
Remark: $K \sim K^{\prime} \Leftrightarrow K \# -K^{\prime}$ is slice. Remark: $K \sim K^{\prime} \Leftrightarrow K \# -K^{\prime}$ is slice.
\\
\\
\noindent
Let $\Omega$ be an oriented \\
???????\\
Suppose $\Sigma$ is a Seifert matrix with an intersection form ${(\alpha, \beta) \mapsto \Lk(\alpha, \beta^+)}$. Suppose $\alpha, \beta \in H_1(\Sigma, \mathbb{Z}$ (i.e. there are cycles). \\
??????????????\\
$\alpha, \beta \in \ker (H_1(\Sigma, \mathbb{Z}) \longrightarrow H_1(\Omega, \mathbb{Z}))$. Then there are two cycles $A, B \in \Omega$ such that $\partial A = \alpha$ and $\partial B = \beta$.
Let $B^+$ be a push off of $B$ in the positive normal direction such that
$\partial B^+ = \beta^+$.
Then
$\Lk(\alpha, \beta^+) = A \cdot B^+$
% %
% %
\\
\section{\hfill\DTMdate{2019-04-08}} \section{\hfill\DTMdate{2019-04-08}}
% %
% %
$X$ is a closed orientable four-manifold. Assume $\pi_1(X) = 0$ (it is not needed to define the intersection form). In particular $H_1(X) = 0$. $X$ is a closed orientable four-manifold. Assume $\pi_1(X) = 0$ (it is not needed to define the intersection form). In particular $H_1(X) = 0$.
$H_2$ is free (exercise). $H_2$ is free (exercise).
\begin{align*} \begin{align*}
H_2(X, \mathbb{Z}) \xrightarrow{\text{Poincaré duality}} H^2(X, \mathbb{Z} ) \xrightarrow{\text{evaluation}}\Hom(H_2(X, \mathbb{Z}), \mathbb{Z}) H_2(X, \mathbb{Z}) \xrightarrow{\text{Poincar\'e duality}} H^2(X, \mathbb{Z} ) \xrightarrow{\text{evaluation}}\Hom(H_2(X, \mathbb{Z}), \mathbb{Z})
\end{align*} \end{align*}
Intersection form: Intersection form:
$H_2(X, \mathbb{Z}) \times $H_2(X, \mathbb{Z}) \times
@ -749,7 +793,7 @@ In general
\section{\hfill\DTMdate{2019-05-20}} \section{\hfill\DTMdate{2019-05-20}}
Let $M$ be compact, oriented, connected four-dimensional manifold. If $H_1(M, \mathbb{Z}) = 0$ then there exists a Let $M$ be compact, oriented, connected four-dimensional manifold. If ${H_1(M, \mathbb{Z}) = 0}$ then there exists a
bilinear form - the intersection form on $M$: bilinear form - the intersection form on $M$:
\begin{center} \begin{center}
@ -1006,22 +1050,95 @@ field of fractions
\section{balagan} \section{balagan}
\begin{comment} \noindent
\setlength{\arraycolsep}{2em} \begin{proof}
\newcommand{\lbrce}{\smash{\left.\rule{0pt}{25pt}\right\}}} By Poincar\'e duality we know that:
\newcommand{\rbrce}{\smash{\left\{\rule{0pt}{25pt}\right.}} \begin{align*}
H_3(\Omega, Y) &\cong H^0(\Omega),\\
H_2(Y) &\cong H^0(Y),\\
H_2(\Omega) &\cong H^1(\Omega, Y),\\
H_2(\Omega, Y) &\cong H^1(\Omega).
\end{align*}
Therefore $\dim_{\mathbb{Q}} \quot{H_1(Y)}{V}
= \dim_{\mathbb{Q}} V
$.
\end{proof}
\noindent
Suppose $g(K) = 0$ ($K$ is slice). Then $H_1(\Sigma, \mathbb{Z}) \cong H_1(Y, \mathbb{Z})$. Let $g_{\Sigma}$ be the genus of $\Sigma$, $\dim H_1(Y, \mathbb{Z}) = 2g_{\Sigma}$. Then the Seifert form $V$ on 4\\
?????\\
has a subspace of dimension $g_{\Sigma}$ on which it is zero:
\[ \[
\begin{pmatrix} V =
0 & 0 & 0 \\ \begin{pmatrix}
\sdots & \sdots\makebox[0pt][l]{$\lbrce\left\lceil\frac i2\right\rceil$} & \sdots \\ \begin{array}{c|c}
0 & 0 & \\ 0 & * \\
\hline \hline
* & *
& & 0 \\ \end{array}
& & \makebox[0pt][r]{$\left\lfloor\frac i2\right\rfloor\rbrce$}\sdots \\ \end{pmatrix}
0 & & 0
\end{pmatrix}
\] \]
\begin{align*}
\newcommand*{\AddLeft}[1]{%
\vadjust{%
\vbox to 0pt{%
\vss
\llap{$%
{#1}\left\{
\vphantom{
\begin{matrix}1\\\vdots\\0\end{matrix}
}
\right.\kern-\nulldelimiterspace
\kern0.5em
$}%
\kern0pt
}%
}%
}
V = \qquad
\begin{pmatrix}
0 & \cdots & 0 & * & \cdots & * \\
\vdots & & \vdots & \vdots & &\vdots \\
0 & \cdots & 0 & * & \cdots & *
\AddLeft{g_{\Sigma}}\\
* & \cdots & * & * & \cdots & * \\
\vdots & & \vdots & \vdots & &\vdots \\
* & \cdots & * & * & \cdots & *
\end{pmatrix}_{2g_{\Sigma} \times 2g_{\Sigma}}
\end{align*}
\begin{align*}
\newcommand\coolover[2]{\mathrlap{\smash{\overbrace{\phantom{%
\begin{matrix} #2 \end{matrix}}}^{\mbox{$#1$}}}}#2}
\newcommand\coolunder[2]{\mathrlap{\smash{\underbrace{\phantom{%
\begin{matrix} #2 \end{matrix}}}_{\mbox{$#1$}}}}#2}
\newcommand\coolleftbrace[2]{%
#1\left\{\vphantom{\begin{matrix} #2 \end{matrix}}\right.}
\newcommand\coolrightbrace[2]{%
\left.\vphantom{\begin{matrix} #1 \end{matrix}}\right\}#2}
\vphantom{% phantom stuff for correct box dimensions
\begin{matrix}
\overbrace{XYZ}^{\mbox{$R$}}\\ \\ \\ \\ \\ \\
\underbrace{pqr}_{\mbox{$S$}}
\end{matrix}}%
\begin{matrix}% matrix for left braces
\vphantom{a}\\
\coolleftbrace{A}{e \\ y\\ y}\\
\coolleftbrace{B}{y \\i \\ m}
\end{matrix}%
\begin{bmatrix}
a & \coolover{R}{b & c & d} & x & \coolover{Z}{x & x}\\
e & f & g & h & x & x & x \\
y & y & y & y & y & y & y \\
y & y & y & y & y & y & y \\
y & y & y & y & y & y & y \\
i & j & k & l & x & x & x \\
m & \coolunder{S}{n & o} & \coolunder{W}{p & x & x} & x
\end{bmatrix}%
\begin{matrix}% matrix for right braces
\coolrightbrace{x \\ x \\ y\\ y}{T}\\
\coolrightbrace{y \\ y \\ x }{U}
\end{matrix}
\end{align*}
\end{comment}
\end{document} \end{document}