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Update 2022-03-02 15:47

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Jean-Sébastien
2022-03-02 15:47:54 +01:00
parent ac1e628013
commit 21bf9fdba5
194 changed files with 1653 additions and 1216 deletions
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build/c_m_dc_d2.html
+19 -19
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-01 Tue 08:14 -->
<!-- 2022-03-02 Wed 15:45 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1623,9 +1623,9 @@ Table of contents
<div class="outline-text-5" id="text-c_m_dc_d2">
</div>
<div id="outline-container-org27b21d4" class="outline-6">
<h6 id="org27b21d4"><a href="#org27b21d4">Divergence of gradient</a></h6>
<div class="outline-text-6" id="text-org27b21d4">
<div id="outline-container-org3814a3d" class="outline-6">
<h6 id="org3814a3d"><a href="#org3814a3d">Divergence of gradient</a></h6>
<div class="outline-text-6" id="text-org3814a3d">
<p>
\({\boldsymbol \nabla} \cdot ({\boldsymbol \nabla} T) \equiv {\boldsymbol \nabla}^2 T\) is called the <b>Laplacian</b> of the scalar field \(T\).
The Laplacian of a vector field \({\boldsymbol \nabla}^2 {\bf v}\) is also defined as the vector with components
@@ -1634,44 +1634,44 @@ given by the Laplacian of the corresponding vector elements.
</div>
</div>
<div id="outline-container-org8ab79ed" class="outline-6">
<h6 id="org8ab79ed"><a href="#org8ab79ed">Curl of a gradient</a></h6>
<div class="outline-text-6" id="text-org8ab79ed">
<div id="outline-container-orgc8aa2ed" class="outline-6">
<h6 id="orgc8aa2ed"><a href="#orgc8aa2ed">Curl of a gradient</a></h6>
<div class="outline-text-6" id="text-orgc8aa2ed">
<p>
This always vanishes.
</p>
</div>
</div>
<div id="outline-container-org3af2976" class="outline-6">
<h6 id="org3af2976"><a href="#org3af2976">Gradient of the divergence</a></h6>
<div class="outline-text-6" id="text-org3af2976">
<div id="outline-container-orge3b0dcb" class="outline-6">
<h6 id="orge3b0dcb"><a href="#orge3b0dcb">Gradient of the divergence</a></h6>
<div class="outline-text-6" id="text-orge3b0dcb">
<p>
\({\boldsymbol \nabla} ({\boldsymbol \nabla} \cdot {\bf v})\) does not appear often in physics. No special name.
</p>
</div>
</div>
<div id="outline-container-orgb2afb29" class="outline-6">
<h6 id="orgb2afb29"><a href="#orgb2afb29">Divergence of a curl</a></h6>
<div class="outline-text-6" id="text-orgb2afb29">
<div id="outline-container-org1f5474a" class="outline-6">
<h6 id="org1f5474a"><a href="#org1f5474a">Divergence of a curl</a></h6>
<div class="outline-text-6" id="text-org1f5474a">
<p>
This always vanishes.
</p>
</div>
</div>
<div id="outline-container-orgd5bfcaa" class="outline-6">
<h6 id="orgd5bfcaa"><a href="#orgd5bfcaa">Curl of curl</a></h6>
<div class="outline-text-6" id="text-orgd5bfcaa">
<div class="eqlabel" id="org4a8e6af">
<div id="outline-container-org4b8cb79" class="outline-6">
<h6 id="org4b8cb79"><a href="#org4b8cb79">Curl of curl</a></h6>
<div class="outline-text-6" id="text-org4b8cb79">
<div class="eqlabel" id="orgad52ac5">
<p>
<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">
<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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org8cfc576">
<div class="alteqlabels" id="orgde36146">
</div>
@@ -1702,7 +1702,7 @@ 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: 2022-03-01 Tue 08:14</p>
<p class="date">Created: 2022-03-02 Wed 15:45</p>
<p class="validation"></p>
</div>