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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
parent 84531d125a
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build/c_m_ic_lsv.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,7 +1616,7 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="c_m_ic.html">Integral Calculus&emsp;<small>[c.m.ic]</small></a></li><li>Next:&nbsp;<a href="c_m_ic_ftc.html">The Fundamental Theorem of Calculus&emsp;<small>[c.m.ic.ftc]</small></a></li><li>Up:&nbsp;<a href="c_m_ic.html">Integral Calculus&emsp;<small>[c.m.ic]</small></a></li></ul><div id="outline-container-c_m_ic_lsv" class="outline-5">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="c.html">Compendium</a></li><li><a class="breadcrumb-link"href="c_m.html">Mathematics</a></li><li><a class="breadcrumb-link"href="c_m_ic.html">Integral Calculus</a></li><li>Line, Surface and Volume Integrals</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="c_m_ic.html">Integral Calculus&emsp;<small>[c.m.ic]</small></a></li><li>Next:&nbsp;<a href="c_m_ic_ftc.html">The Fundamental Theorem of Calculus&emsp;<small>[c.m.ic.ftc]</small></a></li><li>Up:&nbsp;<a href="c_m_ic.html">Integral Calculus&emsp;<small>[c.m.ic]</small></a></li></ul><div id="outline-container-c_m_ic_lsv" class="outline-5">
<h5 id="c_m_ic_lsv">Line, Surface and Volume Integrals<a class="headline-permalink" href="./c_m_ic_lsv.html#c_m_ic_lsv"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
@@ -1624,9 +1624,9 @@ Table of contents
<div class="outline-text-5" id="text-c_m_ic_lsv">
</div>
<div id="outline-container-org609a3df" class="outline-6">
<h6 id="org609a3df"><a href="#org609a3df">Line Integrals</a></h6>
<div class="outline-text-6" id="text-org609a3df">
<div id="outline-container-org552d286" class="outline-6">
<h6 id="org552d286"><a href="#org552d286">Line Integrals</a></h6>
<div class="outline-text-6" id="text-org552d286">
<p>
\[
{\int_{\bf a}^{\bf b}}_{\cal P} {\bf v} \cdot d{\bf l}
@@ -1655,9 +1655,9 @@ Integral over a closed loop:
</div>
</div>
<div id="outline-container-org8f657b7" class="outline-6">
<h6 id="org8f657b7"><a href="#org8f657b7">Surface Integrals</a></h6>
<div class="outline-text-6" id="text-org8f657b7">
<div id="outline-container-org8d260ce" class="outline-6">
<h6 id="org8d260ce"><a href="#org8d260ce">Surface Integrals</a></h6>
<div class="outline-text-6" id="text-org8d260ce">
<p>
\[
\int_{\cal S} {\bf v} \cdot d{\bf a}
@@ -1677,9 +1677,9 @@ Over a closed surface:
</div>
</div>
<div id="outline-container-org2ec267e" class="outline-6">
<h6 id="org2ec267e"><a href="#org2ec267e">Volume Integrals</a></h6>
<div class="outline-text-6" id="text-org2ec267e">
<div id="outline-container-org57765dc" class="outline-6">
<h6 id="org57765dc"><a href="#org57765dc">Volume Integrals</a></h6>
<div class="outline-text-6" id="text-org57765dc">
<p>
\[
\int_{\cal V} T d\tau
@@ -1705,10 +1705,21 @@ d\tau = dx dy dz
<hr><div id="postamble" class="status">
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank" class="m-2">
<img alt="Creative Commons License" style="border-width:0"
src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
</a>
Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>