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<Text-field style="Heading 3" italic="false" layout="Heading 3"><Font italic="false">Example 3.2.11  Axial Conduction and Diffusion in a Tabular Reactor</Font></Text-field>
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<Text-field style="Text" layout="Normal">Axial diffusion and conduction in an adiabatic tabular reactor can be described by:<Font superscript="true">[6]</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZYLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrRitGK0YrLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbWlHRiQ2JVEjZHlGJy8lJ2l0YWxpY0dGNEYvRi8tRiM2JS1GLDYtUTAmRGlmZmVyZW50aWFsRDtGJ0YvL0YzUSZ1bnNldEYnL0Y2RlcvRjhGVy9GOkZXL0Y8RlcvRj5GVy9GQEZXRkFGRC1JJW1zdXBHRiQ2JS1GTDYlUSJ4RidGT0YvLUYjNiQtRkw2I1EhRidGLy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGLy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGW3AvJSliZXZlbGxlZEdGNC1JKG1mZW5jZWRHRiQ2JC1GIzYkLUkjbW5HRiQ2JFEiMUYnRi9GL0YvLUYsNi1RIj1GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGXXEtRmZwNiRRIjBGJ0YvRi8=">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</Equation>                                                          (3.2.31)</Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">(0) = \316\270(0)</Font><Equation executable="false" style="2D Math" input-equation="" display="LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LVEoJm1pbnVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZA">LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LVEoJm1pbnVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGMS8lKXN0cmV0Y2h5R0YxLyUqc3ltbWV0cmljR0YxLyUobGFyZ2VvcEdGMS8lLm1vdmFibGVsaW1pdHNHRjEvJSdhY2NlbnRHRjEvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZA</Equation>1                                               (3.2.32)</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">and</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>(1)=0                                                            (3.2.33)</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">This coupled boundary value problem is solved in Maple below for the following value of parameters Pe = 10, B0 = 10, E = 18</Text-field>
</Input>
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<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
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<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(plots):</Text-field>
</Input>
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<Group labelreference="L4" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq[1]:=1/Pe*diff(y(x),x$2)-diff(y(x),x)=4*y(x)*exp(E*(1-1/theta(x)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiIvLCYqJkkjUGVHRiUhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkieUdGJTYjSSJ4R0YlLUkiJEdGLzYkRjQiIiNGJ0YnLUYuNiRGMUY0RiwsJCooIiIlRidGMUYnLUkkZXhwRzYkRi9JKF9zeXNsaWJHRiU2IyomSSJFR0YlRicsJkYnRicqJC1JJnRoZXRhR0YlRjNGLEYsRidGJ0Yn">LywmKiZJI1BlRzYiISIiLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKTYkLUkieUdGJjYjSSJ4R0YmRjFGMSIiIkYyRixGJywkKigiIiVGMkYuRjItSSRleHBHNiRGKkkoX3N5c2xpYkdGJjYjKiZJIkVHRiZGMiwmRjJGMiokLUkmdGhldGFHRiZGMEYnRidGMkYyRjI=</Equation></Text-field>
</Output>
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<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">Eq[2]:=1/Bo*diff(theta(x),x$2)-diff(theta(x),x)=-4*beta*y(x)*exp(E*(1-1/theta(x)));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI0VxRzYiNiMiIiMvLCYqJkkjQm9HRiUhIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkmdGhldGFHRiU2I0kieEdGJS1JIiRHRi82JEY0RiciIiJGOC1GLjYkRjFGNEYsLCQqKiIiJUY4SSViZXRhR0YlRjgtSSJ5R0YlRjNGOC1JJGV4cEc2JEYvSShfc3lzbGliR0YlNiMqJkkiRUdGJUY4LCZGOEY4KiRGMUYsRixGOEY4Riw=">LywmKiZJI0JvRzYiISIiLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKTYkLUkmdGhldGFHRiY2I0kieEdGJkYxRjEiIiJGMkYsRicsJCoqIiIlRjJJJWJldGFHRiZGMi1JInlHRiZGMEYyLUkkZXhwRzYkRipJKF9zeXNsaWJHRiY2IyomSSJFR0YmRjIsJkYyRjIqJEYuRidGJ0YyRjJGJw==</Equation></Text-field>
</Output>
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<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">BCs:=[1/Pe*D(y)(0)-y(0)+1,D(y)(1),1/Bo*D(theta)(0)-theta(0)+1,D(theta)(1)];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkQkNzRzYiNyYsKComSSNQZUdGJCEiIi0tSSJERzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiNJInlHRiQ2IyIiISIiIkY0LUYxRjJGKUY0RjQtRis2I0Y0LCgqJkkjQm9HRiRGKS0tRiw2I0kmdGhldGFHRiRGMkY0RjQtRj5GMkYpRjRGNC1GPEY3">NyYsKComSSNQZUc2IiEiIi0tSSJERzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiNJInlHRiY2IyIiISIiIkYyLUYvRjBGJ0YyRjItRik2I0YyLCgqJkkjQm9HRiZGJy0tRio2I0kmdGhldGFHRiZGMEYyRjItRjxGMEYnRjJGMi1GOkY1</Equation></Text-field>
</Output>
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<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">pars:={Pe=10,Bo=10,E=18,beta=0.05};</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkklcGFyc0c2IjwmL0kjQm9HRiQiIzUvSSJFR0YkIiM9L0klYmV0YUdGJCQiIiYhIiMvSSNQZUdGJEYo">PCYvSSNCb0c2IiIjNS9JIkVHRiUiIz0vSSViZXRhR0YlJCIiJiEiIy9JI1BlR0YlRiY=</Equation></Text-field>
</Output>
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<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">for i to 2 do eq[i]:=subs(pars,Eq[i]);od;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiIvLCYqJiNGJyIjNUYnLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInlHRiU2I0kieEdGJS1JIiRHRi82JEY0IiIjRidGJy1GLjYkRjFGNCEiIiwkKigiIiVGJ0YxRictSSRleHBHNiRGL0koX3N5c2xpYkdGJTYjLCYiIz1GJyomRkVGJy1JJnRoZXRhR0YlRjNGO0Y7RidGJw==">LywmKiYjIiIiIiM1RiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUYpNiQtSSJ5RzYiNiNJInhHRjBGMkYyRiZGJkYsISIiLCQqKCIiJUYmRi5GJi1JJGV4cEc2JEYqSShfc3lzbGliR0YwNiMsJiIjPUYmKiZGPUYmLUkmdGhldGFHRjBGMUYzRjNGJkYm</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PiZJI2VxRzYiNiMiIiMvLCYqJiMiIiIiIzVGLC1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSZ0aGV0YUdGJTYjSSJ4R0YlLUkiJEdGMDYkRjVGJ0YsRiwtRi82JEYyRjUhIiIsJCooJCIjPyEiI0YsLUkieUdGJUY0RiwtSSRleHBHNiRGMEkoX3N5c2xpYkdGJTYjLCYiIz1GLComRklGLEYyRjtGO0YsRjs=">LywmKiYjIiIiIiM1RiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUYpNiQtSSZ0aGV0YUc2IjYjSSJ4R0YwRjJGMkYmRiZGLCEiIiwkKigkIiM/ISIjRiYtSSJ5R0YwRjFGJi1JJGV4cEc2JEYqSShfc3lzbGliR0YwNiMsJiIjPUYmKiZGQUYmRi5GM0YzRiZGMw==</Equation></Text-field>
</Output>
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<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">eqs:=(eq[1],eq[2]);</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkZXFzRzYiNiQvLCYqJiMiIiIiIzVGKi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ5R0YkNiNJInhHRiQtSSIkR0YuNiRGMyIiI0YqRiotRi02JEYwRjMhIiIsJCooIiIlRipGMEYqLUkkZXhwRzYkRi5JKF9zeXNsaWJHRiQ2IywmIiM9RioqJkZERiotSSZ0aGV0YUdGJEYyRjpGOkYqRiovLCYqJkYpRiotRi02JEZGRjRGKkYqLUYtNiRGRkYzRjosJCooJCIjPyEiI0YqRjBGKkY+RipGOg==">NiQvLCYqJiMiIiIiIzVGJy1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtRio2JC1JInlHNiI2I0kieEdGMUYzRjNGJ0YnRi0hIiIsJCooIiIlRidGL0YnLUkkZXhwRzYkRitJKF9zeXNsaWJHRjE2IywmIiM9RicqJkY+RictSSZ0aGV0YUdGMUYyRjRGNEYnRicvLCYqJkYmRictRio2JC1GKjYkRkBGM0YzRidGJ0ZHRjQsJCooJCIjPyEiI0YnRi9GJ0Y4RidGNA==</Equation></Text-field>
</Output>
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<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">vars:=(y(x),theta(x));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkldmFyc0c2IjYkLUkieUdGJDYjSSJ4R0YkLUkmdGhldGFHRiRGKA==">NiQtSSJ5RzYiNiNJInhHRiUtSSZ0aGV0YUdGJUYm</Equation></Text-field>
</Output>
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<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">bcs:=op(subs(pars,BCs));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="PkkkYmNzRzYiNiYsKComIyIiIiIjNUYpLS1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0kieUdGJDYjIiIhRilGKS1GMkYzISIiRilGKS1GLDYjRiksKComRihGKS0tRi02I0kmdGhldGFHRiRGM0YpRiktRj5GM0Y2RilGKS1GPEY4">NiYsKComIyIiIiIjNUYmLS1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kieUdGLjYjIiIhRiZGJi1GMEYxISIiRiZGJi1GKTYjRiYsKComRiVGJi0tRio2I0kmdGhldGFHRi5GMUYmRiYtRjxGMUY0RiZGJi1GOkY2</Equation></Text-field>
</Output>
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<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol:=dsolve({eqs,bcs},{vars},type=numeric);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
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<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(0);</Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NycvSSJ4RzYiJCIiIUYnLy1JJnRoZXRhR0YlNiNGJCQiM1dAZFtgZmo5NSEjPC8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkRilGJCQiM3NoQGRbYGZqOSEjPS8tSSJ5R0YlRiskIjMrd2MmR0k0RzIoRjYvLUYxNiRGOEYkJCEzK0NWOShwIT5GSEYu</Equation></Text-field>
</Output>
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<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">sol(1);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NycvSSJ4RzYiJCIiIiIiIS8tSSZ0aGV0YUdGJTYjRiQkIjMnZTxFPVI1KVw1ISM8Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiRGKkYkJEYoRigvLUkieUdGJUYsJCIzJ3lCJlt3TTsjeiQhIz8vLUYyNiRGN0YkRjU=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">odeplot(sol,[x,y(x)],0..1,thickness=4,title=&quot;Figure Exp. 3.2.21.&quot;,axes=boxed);</Text-field>
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<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">NiktJSdDVVJWRVNHNiQ3VDckJCIiISEiIiQiMXdjJkdJNEcyKCEjOzckJCIpaiIzLyMhIiokIjE+M3FRIWU1XCchIzs3JCQiKmpLOzMlISM1JCIxRSQpPmR4RVRmISM7NyQkIionKltDNychIzUkIjFCM3FjcDlDYSEjOzckJCIqR2xLOykhIzUkIjBPaG9deipSXCEjOjckJCIraCIzLy0iISM1JCIxRko7JnlfJylbJSEjOzckJCIrJXoqW0M3ISM1JCIxQUhnaWRwcFMhIzs3JCQiK0Y5ZEc5ISM1JCIydy0qMzZUSyNvJCEjPDckJCIrZklsSzshIzUkIjJQVl5IWSpbREwhIzw3JCQiKyNwTW4kPSEjNSQiMVtYdCg0SXoqSCEjOzckJCIrRGoiMy8jISM1JCIyJTQzT2AyQSlwIyEjPDckJCIrZHoqW0MjISM1JCIyKFEjKVxoJz5bVSMhIzw3JCQiKmZ6KltDISIqJCIya11iJGY5NndAISM8NyQkIitCNzFgRSEjNSQiMnRROV81WC8mPiEjPDckJCIrY0c5ZEchIzUkIjJfOz1ZS21odSIhIzw3JCQiKylbQzcxJCEjNSQiMSdlPyY9WGtoOiEjOzckJCIrQGhJbEshIzUkIjI6KVJhM1ZIJlIiISM8NyQkIitheFFwTSEjNSQiMkdIQTU3I2ZYNyEjPDckJCIrJ1FwTW4kISM1JCIyKnldWy8kKTM2NiEjPDckJCIrPjVieFEhIzUkIjE0TDx2TzovKiohIzw3JCQiK19FaiIzJSEjNSQiMUApKjNcJEhIIykpISM8NyQkIislRzlkRyUhIzUkIjFLKSpSaCkqSGJ5ISM8NyQkIis8ZnoqWyUhIzUkIjA9QUE/XC0qcCEjOzckJCIqYnhRcCUhIiokIjFESSRlTFJ3QCchIzw3JCQiKyM9ZnoqWyEjNSQiMCVwWjg3PUdiISM7NyQkIis6My8tXiEjNSQiMWIjKVJhbVI4XCEjPDckJCIrW0M3MWAhIzUkIjFHOSI+M3ViTyUhIzw3JCQiKyIzLy1eJiEjNSQiMTQnKVJLL3N4USEjPDckJCIrOGRHOWQhIzUkIjJsWUdMUDZOVyQhIz03JCQiK1l0Tz1mISM1JCIxQzkubTZDZEkhIzw3JCQiK3oqW0M3JyEjNSQiMjdfS11QdFByIyEjPTckJCIrNjFgRWohIzUkIjFjNzM1TFwzQyEjPDckJCIrV0FoSWwhIzUkIjJiKClRRSVHRVBAISM9NyQkIit4UXBNbiEjNSQiMWlNLmIheWoqPSEjPDckJCIqXnYoUXAhIiokIjFOZls2K2AjbyIhIzw3JCQiMSwrK1VyJkc5KCEjOyQiMU4nZikzKm9GXCIhIzw3JCQiK3YoUXBNKCEjNSQiMSxaJD16cldLIiEjPDckJCIrMy8tXnYhIzUkIjJhWU8oZVNKdjYhIz03JCQiKi8tXnYoISIqJCIxKCllejRdQ1Y1ISM8NyQkIjEsKyt0Tz1meiEjOyQiMU5hPiFHeVlFKiEjPTckJCIrMWBFaiIpISM1JCIxeiE0NFpYVUIpISM9NyQkIitRcE1uJCkhIzUkIjFrWGBdeid5SyghIz03JCQiMSoqKioqNGRHOWQpISM7JCIxJ0chUXNaYE1sISM9NyQkIisvLV52KCkhIzUkIjEoSHRYZ3FiJWUhIz03JCQiK089ZnoqKSEjNSQiMiZ6QW0qPTNbRCYhIz43JCQiK3BNbiQ9KiEjNSQiMUdfXiMzLyplWiEjPTckJCIrLV52KFEqISM1JCIxXFVTeV0leU4lISM9NyQkIitObiQ9ZiohIzUkIjFwRig9azZkMCUhIz03JCQiK24kPWZ6KiEjNSQiMjgsMithIXpoUSEjPjckJCIjNSEiIiQiMVFfW3dNOyN6JCEjPS0lJkNPTE9SRzYmJSRSR0JHJCIjNSEiIiQiIiEhIiIkIiIhISIiLSUrQVhFU0xBQkVMU0c2J1EieDYiUSJ5NiItJSVGT05URzYlJSFHJSFHIiM1JStIT1JJWk9OVEFMRyUrSE9SSVpPTlRBTEctJSZUSVRMRUc2JC0lKV9UWVBFU0VURzYjLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkc2IjY1LUkjbXNHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHNiI2I1E0RmlndXJlfkV4cC5+My4yLjIxLjYiLyUnZmFtaWx5R1EhNiIvJSVzaXplR1EjMTA2Ii8lJWJvbGRHUSZmYWxzZTYiLyUnaXRhbGljR1EmZmFsc2U2Ii8lKnVuZGVybGluZUdRJmZhbHNlNiIvJSpzdWJzY3JpcHRHUSZmYWxzZTYiLyUsc3VwZXJzY3JpcHRHUSZmYWxzZTYiLyUrZm9yZWdyb3VuZEdRKFswLDAsMF02Ii8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdNiIvJSdvcGFxdWVHUSZmYWxzZTYiLyUrZXhlY3V0YWJsZUdRJmZhbHNlNiIvJSlyZWFkb25seUdRJmZhbHNlNiIvJSljb21wb3NlZEdRJmZhbHNlNiIvJSpjb252ZXJ0ZWRHUSZmYWxzZTYiLyUraW1zZWxlY3RlZEdRJmZhbHNlNiIvJSxwbGFjZWhvbGRlckdRJmZhbHNlNiIvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHUSZmYWxzZTYiLyUsbWF0aHZhcmlhbnRHUSdub3JtYWw2Ii0lLVRSQU5TUEFSRU5DWUc2IyQiIiEhIiItJSpUSElDS05FU1NHNiMiIiUtJSpBWEVTU1RZTEVHNiMlJEJPWEctJShTQ0FMSU5HRzYjJS5VTkNPTlNUUkFJTkVERy0lJVJPT1RHNictJSlCT1VORFNfWEc2IyQiJEkmISIiLSUpQk9VTkRTX1lHNiMkIiRTIyEiIi0lLUJPVU5EU19XSURUSEc2IyQiJVNMISIiLSUuQk9VTkRTX0hFSUdIVEc2IyQiJStMISIiLSUpQ0hJTERSRU5HNiI=</Plot></Text-field>
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<Text-field style="Normal" layout="Normal"></Text-field>
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