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Update 2022-03-22 10:53

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Jean-Sébastien
2022-03-22 10:53:22 +01:00
parent f8fdc5f8b4
commit 2d1d8d39a4
209 changed files with 1240 additions and 1226 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>
<!-- 2022-03-15 Tue 08:10 -->
<!-- 2022-03-22 Tue 10:52 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1615,9 +1615,9 @@ Table of contents
<div class="outline-text-5" id="text-c_m_dc_d2">
</div>
<div id="outline-container-orgc162c65" class="outline-6">
<h6 id="orgc162c65"><a href="#orgc162c65">Divergence of gradient</a></h6>
<div class="outline-text-6" id="text-orgc162c65">
<div id="outline-container-org78664e4" class="outline-6">
<h6 id="org78664e4"><a href="#org78664e4">Divergence of gradient</a></h6>
<div class="outline-text-6" id="text-org78664e4">
<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
@@ -1626,44 +1626,44 @@ given by the Laplacian of the corresponding vector elements.
</div>
</div>
<div id="outline-container-org2f7ef92" class="outline-6">
<h6 id="org2f7ef92"><a href="#org2f7ef92">Curl of a gradient</a></h6>
<div class="outline-text-6" id="text-org2f7ef92">
<div id="outline-container-orgecb53d1" class="outline-6">
<h6 id="orgecb53d1"><a href="#orgecb53d1">Curl of a gradient</a></h6>
<div class="outline-text-6" id="text-orgecb53d1">
<p>
This always vanishes.
</p>
</div>
</div>
<div id="outline-container-orgceccef1" class="outline-6">
<h6 id="orgceccef1"><a href="#orgceccef1">Gradient of the divergence</a></h6>
<div class="outline-text-6" id="text-orgceccef1">
<div id="outline-container-orgdeab960" class="outline-6">
<h6 id="orgdeab960"><a href="#orgdeab960">Gradient of the divergence</a></h6>
<div class="outline-text-6" id="text-orgdeab960">
<p>
\({\boldsymbol \nabla} ({\boldsymbol \nabla} \cdot {\bf v})\) does not appear often in physics. No special name.
</p>
</div>
</div>
<div id="outline-container-orgc07e1dc" class="outline-6">
<h6 id="orgc07e1dc"><a href="#orgc07e1dc">Divergence of a curl</a></h6>
<div class="outline-text-6" id="text-orgc07e1dc">
<div id="outline-container-org11519c8" class="outline-6">
<h6 id="org11519c8"><a href="#org11519c8">Divergence of a curl</a></h6>
<div class="outline-text-6" id="text-org11519c8">
<p>
This always vanishes.
</p>
</div>
</div>
<div id="outline-container-org1a67d52" class="outline-6">
<h6 id="org1a67d52"><a href="#org1a67d52">Curl of curl</a></h6>
<div class="outline-text-6" id="text-org1a67d52">
<div class="eqlabel" id="org5d4ff40">
<div id="outline-container-org8bb99ae" class="outline-6">
<h6 id="org8bb99ae"><a href="#org8bb99ae">Curl of curl</a></h6>
<div class="outline-text-6" id="text-org8bb99ae">
<div class="eqlabel" id="org38dd889">
<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="orgd2518b8">
<div class="alteqlabels" id="orgb8e88ad">
</div>
@@ -1694,7 +1694,7 @@ 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: 2022-03-15 Tue 08:10</p>
<p class="date">Created: 2022-03-22 Tue 10:52</p>
<p class="validation"></p>
</div>