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	<title>Fusion Math Archives - Anuj Varma, Hands-On Technology Architect, Clean Air Activist</title>
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	<title>Fusion Math Archives - Anuj Varma, Hands-On Technology Architect, Clean Air Activist</title>
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		<title>Modeling Traffic Flow</title>
		<link>https://www.anujvarma.com/modeling-traffic-flow/</link>
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		<dc:creator><![CDATA[Anuj Varma]]></dc:creator>
		<pubDate>Sat, 01 Oct 2011 01:17:05 +0000</pubDate>
				<category><![CDATA[Fusion Math]]></category>
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					<description><![CDATA[<p>Traffic flow is not that different from the flow of anything else. Imagine heat flow along an iron rod or water flowing down a pipe. If you observe the traffic [&#8230;]</p>
<p>The post <a href="https://www.anujvarma.com/modeling-traffic-flow/">Modeling Traffic Flow</a> appeared first on <a href="https://www.anujvarma.com">Anuj Varma, Hands-On Technology Architect, Clean Air Activist</a>.</p>
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										<content:encoded><![CDATA[</p>
<p>Traffic flow is not that different from the flow of anything else. Imagine heat flow along an iron rod or water flowing down a pipe. If you observe the traffic (on a highway) from a far enough distance, the mass of cars would appear analogous to a (slowly) flowing fluid. </p>
<p>Let <img decoding="async" src="https://www.anujvarma.com/wp-content/ql-cache/quicklatex.com-9dbc195cc685cc64d94de3257885e357_l3.png" class="ql-img-inline-formula " alt="&#92;&#114;&#104;&#111;&#40;&#120;&#44;&#116;&#41;" title="Rendered by QuickLaTeX.com" height="18" width="46" style="vertical-align: -4px;"/> be the density (substance per unit length) and let <img decoding="async" src="https://www.anujvarma.com/wp-content/ql-cache/quicklatex.com-4848edb35755ae1c361a8a1825a8bebc_l3.png" class="ql-img-inline-formula " alt="&#114;&#40;&#120;&#44;&#116;&#41;" title="Rendered by QuickLaTeX.com" height="18" width="45" style="vertical-align: -4px;"/> be its rate of flow past x at time t.</p>
<p>The mass present in a segment of length <img decoding="async" src="https://www.anujvarma.com/wp-content/ql-cache/quicklatex.com-b7398eb19d4a7b42e0948c84ca560c29_l3.png" class="ql-img-inline-formula " alt="&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#120;" title="Rendered by QuickLaTeX.com" height="12" width="25" style="vertical-align: 0px;"/> is:</p>
<p><p class="ql-center-displayed-equation" style="line-height: 46px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://www.anujvarma.com/wp-content/ql-cache/quicklatex.com-c30a0c9277ebeb85899222ace7d17dc5_l3.png" height="46" width="160" class="ql-img-displayed-equation " alt="&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#125;&#32;&#92;&#91;&#32;&#92;&#105;&#110;&#116;&#95;&#120;&#94;&#40;&#120;&#43;&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#120;&#41;&#32;&#92;&#114;&#104;&#111;&#40;&#120;&#44;&#116;&#41;&#32;&#92;&#44;&#100;&#120;&#32;&#92;&#93;&#32;&#32;&#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#125;" title="Rendered by QuickLaTeX.com"/></p>
</p>
<p>The rate of flow of this mass </p>
<p><p class="ql-center-displayed-equation" style="line-height: 46px;"><span class="ql-right-eqno"> &nbsp; </span><span class="ql-left-eqno"> &nbsp; </span><img loading="lazy" decoding="async" src="https://www.anujvarma.com/wp-content/ql-cache/quicklatex.com-33a94be016bda63c8572c8c6a17f332b_l3.png" height="46" width="181" class="ql-img-displayed-equation " alt="&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#125;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#100;&#125;&#123;&#100;&#116;&#125;&#32;&#92;&#91;&#32;&#92;&#105;&#110;&#116;&#95;&#120;&#94;&#40;&#120;&#43;&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#120;&#41;&#32;&#92;&#114;&#104;&#111;&#40;&#120;&#44;&#116;&#41;&#32;&#92;&#44;&#100;&#120;&#32;&#92;&#93;&#32;&#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#125;" title="Rendered by QuickLaTeX.com"/></p></p>
<p>The post <a href="https://www.anujvarma.com/modeling-traffic-flow/">Modeling Traffic Flow</a> appeared first on <a href="https://www.anujvarma.com">Anuj Varma, Hands-On Technology Architect, Clean Air Activist</a>.</p>
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