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DIP/DL/DL/index.html

@@ -2864,18 +2864,22 @@ <h2 id="cnn-in-detail">CNN in Detail<a class="headerlink" href="#cnn-in-detail"
 </li>
 <li>传统图像分类：分段；深度学习图像分类：端到端</li>
 <li>交叉商</li>
+</ul>
+<p><img alt="6" src="../6.png" /></p>
+<ul>
+<li>Minimize Loss - Gradient Descent.</li>
 </ul>
 
   <hr>
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       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:18:44</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:32:29</span>
 
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         创建日期:
-        <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:18:44</span>
+        <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:32:29</span>
 
 
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DIP/Fourier/Fourier/index.html

@@ -2966,7 +2966,7 @@ <h4 id="magnitude-and-phase-of-dft">Magnitude and Phase of DFT<a class="headerli
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       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 16:04:01</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:32:29</span>
 
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DIP/feature/feature/index.html

@@ -3396,7 +3396,7 @@ <h4 id="procedure">Procedure<a class="headerlink" href="#procedure" title="Perma
   <small>
 
       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2023年12月26日 15:12:27</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月5日 23:32:29</span>
 
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GP/com/com/index.html

@@ -3165,8 +3165,8 @@ <h3 id="mutual-inductance-of-two-parallel-coils">Mutual Inductance of Two Parall
 <p><img alt="5" src="../5.png" /></p>
 <p><span class="arithmatex">\(M_{21}=\frac{N_2\Phi_{21}}{i_1}\\M_{12}=\frac{N_1\Phi_{12}}{i_2}\)</span></p>
 <p><span class="arithmatex">\(\epsilon_{21}=-M_{21}\frac{di_1}{dt}\\\epsilon_{12}=-M_{12}\frac{di_2}{dt}\)</span></p>
-<p><span class="arithmatex">\(\epsilon_1=\epsilon_{1}+\epsilon_{12}=-L_{11}\frac{di_{1}}{dt}-M_{21}\frac{di_2}{dt}\)</span></p>
-<p><span class="arithmatex">\(\epsilon_2=\epsilon_{22}+\epsilon_{21}=-L_{2}\frac{di_{2}}{dt}-M_{12}\frac{di_1}{dt}\)</span></p>
+<p><span class="arithmatex">\(\epsilon_1=\epsilon_{1}+\epsilon_{12}=-L_{1}\frac{di_{1}}{dt}-M_{12}\frac{di_2}{dt}\)</span></p>
+<p><span class="arithmatex">\(\epsilon_2=\epsilon_{22}+\epsilon_{21}=-L_{2}\frac{di_{2}}{dt}-M_{21}\frac{di_1}{dt}\)</span></p>
 <p><span class="arithmatex">\(\Rightarrow-\begin{pmatrix}L_1&amp;M_{12}\\M_{21}&amp;L_2\end{pmatrix}\frac{d}{dt}\begin{pmatrix}i_1\\i_2\end{pmatrix}=\begin{pmatrix}\epsilon_1\\\epsilon_2\end{pmatrix}\)</span></p>
 <p><img alt="7" src="../7.png" /></p>
 <p><img alt="6" src="../6.png" /></p>
@@ -3256,7 +3256,7 @@ <h3 id="apply">Apply<a class="headerlink" href="#apply" title="Permanent link">&
 <p>Choose surface 2 to integral:</p>
 </li>
 </ul>
-<p>$ I_{enc}=0\\mu_0\epsilon_0\frac{\partial{E}}{\partial t}=\mu_0I/A  \iint \mu_0\epsilon_0\frac{\partial{E}}{\partial t}\cdot d\vec{A}=\mu_0I$</p>
+<p><span class="arithmatex">\(I_{enc}=0\\\mu_0\epsilon_0\frac{\partial{E}}{\partial t}=\mu_0I/A \ \iint \mu_0\epsilon_0\frac{\partial{E}}{\partial t}\cdot d\vec{A}=\mu_0I\)</span></p>
 <h3 id="maxwells-equations">Maxwell’s Equations<a class="headerlink" href="#maxwells-equations" title="Permanent link">&para;</a></h3>
 <p><img alt="20" src="../20.png" /></p>
 <h3 id="electromagnetic-waves">Electromagnetic Waves<a class="headerlink" href="#electromagnetic-waves" title="Permanent link">&para;</a></h3>
@@ -3301,7 +3301,7 @@ <h4 id="variation-of-intensity-with-distance">Variation of Intensity with Distan
   <small>
 
       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2023年11月15日 16:07:42</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月15日 12:39:38</span>
 
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GP/lec1-3/lec1/index.html

@@ -3343,7 +3343,7 @@ <h3 id="diphole">Diphole<a class="headerlink" href="#diphole" title="Permanent l
 <ul>
 <li>Derivation</li>
 </ul>
-<p>​   <span class="arithmatex">\(\begin{align*}E&amp;=\frac{q}{4\pi\epsilon_0(z-\frac{d}{2})^2}- \frac{q}{4\pi\epsilon_0(z+\frac{d}{2})^2}\\ &amp;=\frac{q\vec{d}}{2\pi\epsilon_0}*\frac{z}{(z-\frac{d}{2})^2(z+\frac{d}{2})^2}\\ &amp;=\frac{\vec{p}}{2\pi\epsilon_0z^3}*\frac{1}{(1-\frac{d}{2z}^2)(1+\frac{d}{2z}^2)}\\ &amp;=\frac{1}{2\pi\epsilon_0}\frac{p}{z^3} \ \ when (z&gt;&gt;d)\end{align*}\)</span></p>
+<p>​   <span class="arithmatex">\(\begin{align*}E&amp;=\frac{q}{4\pi\epsilon_0(z-\frac{d}{2})^2}- \frac{q}{4\pi\epsilon_0(z+\frac{d}{2})^2}\\ &amp;=\frac{q\vec{d}}{2\pi\epsilon_0}*\frac{z}{(z-\frac{d}{2})^2(z+\frac{d}{2})^2}\\ &amp;=\frac{\vec{p}}{2\pi\epsilon_0z^3}*\frac{1}{(1-\frac{d}{2z})^2(1+\frac{d}{2z})^2}\\ &amp;=\frac{1}{2\pi\epsilon_0}\frac{p}{z^3} \ \ when (z&gt;&gt;d)\end{align*}\)</span></p>
 <h4 id="a-diphole-in-a-uniform-electric-filed">A diphole in a uniform electric filed<a class="headerlink" href="#a-diphole-in-a-uniform-electric-filed" title="Permanent link">&para;</a></h4>
 <p><img alt="2" src="../2.png" /></p>
 <p><strong>Note</strong>:<span class="arithmatex">\(\tau=p\times E\)</span></p>
@@ -3510,7 +3510,7 @@ <h4 id="b-a-single-grounded-pallete-with-a-charge-q-at-a-distance-d">B. A single
 </ul>
 <blockquote>
 <p><span class="arithmatex">\(E=-\epsilon_0\frac{\partial V}{\partial z}|_{z=0}=\frac{-qd}{2\pi\epsilon_0(x^2+y^2+d^2)^\frac{3}{2}}\hat{z}\)</span></p>
-<p><span class="arithmatex">\(\sigma=\epsilon_0\triangledown \cdot E =\frac{-qd}{2\pi(x^2+y^2+d^2)^\frac{3}{2}}\)</span></p>
+<p><span class="arithmatex">\(\sigma=\epsilon_0\cdot E =\frac{-qd}{2\pi(x^2+y^2+d^2)^\frac{3}{2}}\)</span></p>
 </blockquote>
 <ul>
 <li>Bringing q from infinity needs ? W</li>
@@ -3556,7 +3556,7 @@ <h4 id="_1">立体角<a class="headerlink" href="#_1" title="Permanent link">&pa
   <small>
 
       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2023年11月15日 16:07:42</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月15日 12:39:38</span>
 
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GP/light/light/index.html

@@ -2976,16 +2976,6 @@ <h4 id="fermats-principle">Fermat’s Principle<a class="headerlink" href="#ferm
 </ul>
 <p><span class="arithmatex">\(\frac{dt}{dx}=\frac{n_i}{c}\frac{x}{\bar{SO}}-\frac{n_t}{c}\frac{a-x}{\bar{OP}}=0\)</span></p>
 <p>Thus <span class="arithmatex">\(n_isin\theta_i=n_tsin\theta_t\)</span></p>
-<h5 id="understanding-mirage-with-fermats-principle">Understanding Mirage with Fermat’s Principle<a class="headerlink" href="#understanding-mirage-with-fermats-principle" title="Permanent link">&para;</a></h5>
-<ul>
-<li>
-<p>At very low angles the rays appear to be coming from beneath the road as if reflected in a puddle</p>
-</li>
-<li>
-<p>The effect is easy to view on long modern highways. The only requirement is that you look at the road at near</p>
-</li>
-</ul>
-<p>glancing incidence, because the rays bend very gradually.</p>
 <h3 id="huygens-principle">Huygens’ Principle<a class="headerlink" href="#huygens-principle" title="Permanent link">&para;</a></h3>
 <p><strong>Huygens’ principle</strong> is: All points on a wavefront serve as point sources of spherical secondary wavelets. After a time <span class="arithmatex">\(t\)</span>, the new position of the wavefront will be that of a surface tangent to these secondary wavelets.</p>
 <ul>
@@ -3022,7 +3012,7 @@ <h3 id="the-electromagnetic-approach">The Electromagnetic Approach<a class="head
 <ul>
 <li>The loop can be made so narrow such that there is no flux through C.</li>
 <li>Define <span class="arithmatex">\(\hat{u}_n\)</span>to be the unit vector normal to the interface</li>
-<li>The boundary condition leads to :<strong>$ (\vec{E}_i+\vec{E}_r-\vec{E}_t)$perpendicular to <span class="arithmatex">\(\vec{l}\)</span>  thus parallel to  <span class="arithmatex">\(\vec{u_n}\)</span> </strong></li>
+<li>The boundary condition leads to :<strong><span class="arithmatex">\((\vec{E}_i+\vec{E}_r-\vec{E}_t)\)</span>perpendicular to <span class="arithmatex">\(\vec{l}\)</span>  thus parallel to  <span class="arithmatex">\(\vec{u_n}\)</span> </strong></li>
 </ul>
 <p><span class="arithmatex">\(\hat{u}_n \times (\vec{E}_i+\vec{E}_r)-\hat{u}_n \times \vec{E}_t=0\)</span>  which is satisfied for all values of time and at any point on the interface.</p>
 <p>Thus, we have :</p>
@@ -3119,7 +3109,7 @@ <h4 id="application">Application<a class="headerlink" href="#application" title=
   <small>
 
       最后更新:
-      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2023年11月24日 20:04:52</span>
+      <span class="git-revision-date-localized-plugin git-revision-date-localized-plugin-datetime">2024年1月15日 12:39:38</span>
 
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