Update 2022-03-07 20:40
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-03-02 Wed 15:45 -->
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<!-- 2022-03-07 Mon 20:38 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1098,14 +1098,6 @@ Table of contents
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<li>
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<a href="./emdm_emwm_refl_oi.html#emdm_emwm_refl_oi">Oblique Incidence</a><span class="headline-id">emdm.emwm.refl.oi</span>
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</li>
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<li>
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<a href="./emdm_emwm_refl_Fe.html#emdm_emwm_refl_Fe">Fresnel's Equations</a><span class="headline-id">emdm.emwm.refl.Fe</span>
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</li>
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<li>
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<a href="./emdm_emwm_refl_Ba.html#emdm_emwm_refl_Ba">Brewster's Angle</a><span class="headline-id">emdm.emwm.refl.Ba</span>
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</li>
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</ul>
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@@ -1623,9 +1615,9 @@ Table of contents
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<div class="outline-text-5" id="text-c_m_dc_d2">
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</div>
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<div id="outline-container-org3814a3d" class="outline-6">
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<h6 id="org3814a3d"><a href="#org3814a3d">Divergence of gradient</a></h6>
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<div class="outline-text-6" id="text-org3814a3d">
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<div id="outline-container-orgc12bd11" class="outline-6">
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<h6 id="orgc12bd11"><a href="#orgc12bd11">Divergence of gradient</a></h6>
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<div class="outline-text-6" id="text-orgc12bd11">
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<p>
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\({\boldsymbol \nabla} \cdot ({\boldsymbol \nabla} T) \equiv {\boldsymbol \nabla}^2 T\) is called the <b>Laplacian</b> of the scalar field \(T\).
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The Laplacian of a vector field \({\boldsymbol \nabla}^2 {\bf v}\) is also defined as the vector with components
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@@ -1634,44 +1626,44 @@ given by the Laplacian of the corresponding vector elements.
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</div>
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</div>
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<div id="outline-container-orgc8aa2ed" class="outline-6">
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<h6 id="orgc8aa2ed"><a href="#orgc8aa2ed">Curl of a gradient</a></h6>
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<div class="outline-text-6" id="text-orgc8aa2ed">
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<div id="outline-container-org0ea7ae4" class="outline-6">
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<h6 id="org0ea7ae4"><a href="#org0ea7ae4">Curl of a gradient</a></h6>
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<div class="outline-text-6" id="text-org0ea7ae4">
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<p>
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This always vanishes.
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</p>
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</div>
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</div>
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<div id="outline-container-orge3b0dcb" class="outline-6">
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<h6 id="orge3b0dcb"><a href="#orge3b0dcb">Gradient of the divergence</a></h6>
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<div class="outline-text-6" id="text-orge3b0dcb">
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<div id="outline-container-org78d85e1" class="outline-6">
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<h6 id="org78d85e1"><a href="#org78d85e1">Gradient of the divergence</a></h6>
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<div class="outline-text-6" id="text-org78d85e1">
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<p>
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\({\boldsymbol \nabla} ({\boldsymbol \nabla} \cdot {\bf v})\) does not appear often in physics. No special name.
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</p>
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</div>
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</div>
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<div id="outline-container-org1f5474a" class="outline-6">
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<h6 id="org1f5474a"><a href="#org1f5474a">Divergence of a curl</a></h6>
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<div class="outline-text-6" id="text-org1f5474a">
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<div id="outline-container-orge7f86bf" class="outline-6">
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<h6 id="orge7f86bf"><a href="#orge7f86bf">Divergence of a curl</a></h6>
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<div class="outline-text-6" id="text-orge7f86bf">
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<p>
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This always vanishes.
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</p>
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</div>
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</div>
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<div id="outline-container-org4b8cb79" class="outline-6">
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<h6 id="org4b8cb79"><a href="#org4b8cb79">Curl of curl</a></h6>
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<div class="outline-text-6" id="text-org4b8cb79">
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<div class="eqlabel" id="orgad52ac5">
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<div id="outline-container-orgbb8199b" class="outline-6">
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<h6 id="orgbb8199b"><a href="#orgbb8199b">Curl of curl</a></h6>
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<div class="outline-text-6" id="text-orgbb8199b">
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<div class="eqlabel" id="orga59fc73">
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<p>
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<a id="curlcurl"></a><a href="./c_m_dc_d2.html#curlcurl"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<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"/>
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<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"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgde36146">
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<div class="alteqlabels" id="org384a104">
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</div>
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@@ -1702,7 +1694,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-03-02 Wed 15:45</p>
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<p class="date">Created: 2022-03-07 Mon 20:38</p>
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<p class="validation"></p>
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</div>
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