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lmoresi committed Sep 5, 2024
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Expand Up @@ -603,21 +603,21 @@ <h3>Case <span class="math notranslate nohighlight">\(m \neq -1\)</span><a class
<h2>Analytical solution in sympy<a class="headerlink" href="#analytical-solution-in-sympy" title="Link to this heading">#</a></h2>
<p>The Cartesian unit vectors are related to the spherical unit vectors by
$$</p>
<div class="amsmath math notranslate nohighlight" id="equation-f4bbd71e-f0cc-423b-aad5-afe0f1ab2fa6">
<span class="eqno">()<a class="headerlink" href="#equation-f4bbd71e-f0cc-423b-aad5-afe0f1ab2fa6" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
<div class="amsmath math notranslate nohighlight" id="equation-df509593-1707-4e0f-ad30-afbabfc1a946">
<span class="eqno">()<a class="headerlink" href="#equation-df509593-1707-4e0f-ad30-afbabfc1a946" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
\hat{\mathbf{e}}_x \\
\hat{\mathbf{e}}_y \\
\hat{\mathbf{e}}_z \\
\end{pmatrix}\]</div>
<p>=</p>
<div class="amsmath math notranslate nohighlight" id="equation-4e39cc83-be83-4738-85bf-b100854ddd03">
<span class="eqno">()<a class="headerlink" href="#equation-4e39cc83-be83-4738-85bf-b100854ddd03" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
<div class="amsmath math notranslate nohighlight" id="equation-06c680cb-59b3-40ef-9962-efc613155564">
<span class="eqno">()<a class="headerlink" href="#equation-06c680cb-59b3-40ef-9962-efc613155564" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
\sin(\theta) \cos(\phi) &amp; \cos(\theta) \cos(\phi) &amp; -\sin(\phi) \\
\sin(\theta) \sin(\phi) &amp; \cos(\theta) \sin(\phi) &amp; \cos(\phi) \\
\cos(\theta) &amp; -\sin(\theta) &amp; 0 \\
\end{pmatrix}\]</div>
<div class="amsmath math notranslate nohighlight" id="equation-b8f56bd9-3438-4ab4-ab62-07978aa91f24">
<span class="eqno">()<a class="headerlink" href="#equation-b8f56bd9-3438-4ab4-ab62-07978aa91f24" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
<div class="amsmath math notranslate nohighlight" id="equation-18927d68-dcbb-4676-9ede-4ae105850d3d">
<span class="eqno">()<a class="headerlink" href="#equation-18927d68-dcbb-4676-9ede-4ae105850d3d" title="Permalink to this equation">#</a></span>\[\begin{pmatrix}
\hat{\mathbf{e}}_r \\
\hat{\mathbf{e}}_{\theta} \\
\hat{\mathbf{e}}_{\phi} \\
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2 changes: 1 addition & 1 deletion main/slideshows/index.html
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Expand Up @@ -21,7 +21,7 @@
</ul>

<p>
Last update: 2024-09-05T00:02:02.821Z
Last update: 2024-09-05T00:19:50.870Z
</p>
</body>
</html>

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