From 8f5d88adb6949ada3fedce31c2732ad0c3261819 Mon Sep 17 00:00:00 2001
From: rezaarezvan <reza@rezvan.xyz>
Date: Sat, 2 Nov 2024 02:25:34 +0800
Subject: [PATCH] Deploy

---
 cityu/bme3105/bme3105_5/index.html            |   2 +-
 cityu/bme3105/bme3105_6/index.html            | 400 ++++++++++++++
 cityu/cs4487/cs4487_7/index.html              |   2 +-
 cityu/cs4487/cs4487_8/index.html              |   3 +
 cityu/index.html                              |   2 +-
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 cityu/mne3115/mne3115_6/index.html            |   2 +-
 cityu/mne3115/mne3115_7/index.html            | 513 ++++++++++++++++++
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 rss.xml                                       |   2 +-
 sitemap-0.xml                                 |   2 +-
 116 files changed, 924 insertions(+), 8 deletions(-)
 create mode 100644 cityu/bme3105/bme3105_6/index.html
 create mode 100644 cityu/mne3115/mne3115_7/index.html
 rename pagefind/fragment/{en_33a5328.pf_fragment => en_12c1195.pf_fragment} (94%)
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diff --git a/cityu/bme3105/bme3105_5/index.html b/cityu/bme3105/bme3105_5/index.html
index e1bbf04f..3e1adcf7 100644
--- a/cityu/bme3105/bme3105_5/index.html
+++ b/cityu/bme3105/bme3105_5/index.html
@@ -635,7 +635,7 @@ <h5 id="example">Example</h5>
 <table><thead><tr><th align="center">Label</th><th align="center">First Column</th><th align="center">$\epsilon = +$</th><th align="center">$\epsilon = -$</th></tr></thead><tbody><tr><td align="center">$s^5$</td><td align="center">1</td><td align="center">+</td><td align="center">+</td></tr><tr><td align="center">$s^4$</td><td align="center">2</td><td align="center">+</td><td align="center">+</td></tr><tr><td align="center">$s^3$</td><td align="center">$\epsilon$</td><td align="center">+</td><td align="center">-</td></tr><tr><td align="center">$s^2$</td><td align="center">$\frac{6 \epsilon - 7}{\epsilon}$</td><td align="center">-</td><td align="center">+</td></tr><tr><td align="center">$s^1$</td><td align="center">$\frac{42 \epsilon - 49 - 6 \epsilon^2}{12 \epsilon - 14}$</td><td align="center">+</td><td align="center">+</td></tr><tr><td align="center">$s^0$</td><td align="center">3</td><td align="center">+</td><td align="center">+</td></tr></tbody></table>
 <p>We have two sign changes in the first column, therefore the system is <strong>unstable</strong>.</p>
 <h3 id="conclusion">Conclusion</h3>
-<p>The Routh-Hurwitz criterion is a powerful tool for determining the stability of a system without having to find the poles of the closed-loop system.</p> <div class="mt-24"> <div class="grid grid-cols-2 gap-1.5 sm:gap-3"> <a href="/cityu/bme3105/bme3105_4" class="group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pl-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 4 - Time Respone </div> </a> <div class="invisible"></div> </div> </div> <div class="mt-24"> <div class="giscus"></div> <script data-astro-rerun src="https://giscus.app/client.js" data-repo="rezaarezvan/rezvan.xyz" data-repo-id="R_kgDOHvQr3w" data-category="General" data-category-id="DIC_kwDOHvQr384CiWVC" data-mapping="pathname" data-strict="0" data-reactions-enabled="1" data-emit-metadata="0" data-input-position="bottom" data-theme="preferred_color_scheme" data-lang="en" data-loading="lazy" crossorigin="anonymous" async></script> </div> </article> </div>  </main> <footer class="animate"> <div class="mx-auto max-w-screen-sm px-3"> <div class="relative"> <div class="absolute -top-12 right-0"> <button id="back-to-top" class="group relative flex w-fit flex-nowrap rounded border border-black/15 py-1.5 pl-8 pr-3 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-4 -translate-y-1/2 rotate-90 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-2 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="text-sm">Back to top</div> </button> </div> </div> <div class="flex items-center justify-between"> <div>&copy; 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+<p>The Routh-Hurwitz criterion is a powerful tool for determining the stability of a system without having to find the poles of the closed-loop system.</p> <div class="mt-24"> <div class="grid grid-cols-2 gap-1.5 sm:gap-3"> <a href="/cityu/bme3105/bme3105_4" class="group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pl-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 4 - Time Respone </div> </a> <a href="/cityu/bme3105/bme3105_6" class="group relative flex flex-grow flex-row-reverse flex-nowrap rounded-lg border border-black/15 px-4 py-4 pr-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 6 - State Space Approach </div> </a> </div> </div> <div class="mt-24"> <div class="giscus"></div> <script data-astro-rerun src="https://giscus.app/client.js" data-repo="rezaarezvan/rezvan.xyz" data-repo-id="R_kgDOHvQr3w" data-category="General" data-category-id="DIC_kwDOHvQr384CiWVC" data-mapping="pathname" data-strict="0" data-reactions-enabled="1" data-emit-metadata="0" data-input-position="bottom" data-theme="preferred_color_scheme" data-lang="en" data-loading="lazy" crossorigin="anonymous" async></script> </div> </article> </div>  </main> <footer class="animate"> <div class="mx-auto max-w-screen-sm px-3"> <div class="relative"> <div class="absolute -top-12 right-0"> <button id="back-to-top" class="group relative flex w-fit flex-nowrap rounded border border-black/15 py-1.5 pl-8 pr-3 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-4 -translate-y-1/2 rotate-90 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-2 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="text-sm">Back to top</div> </button> </div> </div> <div class="flex items-center justify-between"> <div>&copy; 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+<div class="font-base text-sm"> <time datetime="2024-11-01T00:00:00.000Z"> November 01, 2024 </time> </div> 
+&bull;
+<div class="font-base text-sm"> 5 min read </div> </div> <h1 class="animate text-3xl font-semibold text-black dark:text-white"> Part 6 - State Space Approach </h1> </div> <details open class="animate rounded-lg border border-black/15 dark:border-white/20" data-astro-cid-xvrfupwn> <summary data-astro-cid-xvrfupwn>Table of Contents</summary> <nav class="" data-astro-cid-xvrfupwn> <ul class="py-3" data-astro-cid-xvrfupwn> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#introduction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Introduction </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#state-space-approach" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> State Space Approach </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#deriving-a-linear-state-space-equation" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Deriving a Linear State Space Equation </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#physical-laws" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Physical Laws </a>  </li> </ul> </li> </ul> </nav> </details> <article class="animate"> <h3 id="introduction">Introduction</h3>
+<p>In this part, we will be discussing the state space approach to modeling systems. This approach is a powerful tool that allows us to model systems in a way that is independent of the input and output signals. This makes it easier to analyze and design control systems for complex systems.</p>
+<p>This is a “modern” approach to modeling systems, as opposed to the “classical” approach that we have been using so far. The state space approach is more general and can be used to model a wide range of systems, including systems with multiple inputs and outputs.</p>
+<p>We’ll derive a linear state space equation,</p>
+<ul>
+<li>From a higher order ODE or transfer function.</li>
+<li>From physical laws.</li>
+<li>From the Jacobian linearization of nonlinear systems.</li>
+</ul>
+<h3 id="state-space-approach">State Space Approach</h3>
+<p>When we are modeling a set of first order $n$-dimensional ODEs,</p>
+<p>$$
+\begin{aligned}
+\dot{x} &#x26; = f(x, u, t) \newline
+y &#x26; = h(x, u, t) \newline
+x(0) &#x26; = x_0, t \geq 0.
+\end{aligned}
+$$</p>
+<p>where,</p>
+<p>$$
+\begin{aligned}
+f(x, u, t) &#x26; =
+\begin{bmatrix}
+f_1(x, u, t) \newline
+f_2(x, u, t) \newline
+\vdots \newline
+f_n(x, u, t)
+\end{bmatrix} \in \mathbb{R}^n \newline
+h(x, u, t) &#x26; =
+\begin{bmatrix}
+h_1(x, u, t) \newline
+h_2(x, u, t) \newline
+\vdots \newline
+h_m(x, u, t)
+\end{bmatrix} \in \mathbb{R}^p.
+\end{aligned}
+$$</p>
+<p>$x = [x_1, x_2, \ldots, x_n]^T \in \mathbb{R}^n$ is called the state of the system (the component of x can stand for position, velocity, voltage and current).</p>
+<p>$u = [u_1, u_2, \ldots, u_m]^T \in \mathbb{R}^m$ is called the input of the system.</p>
+<p>$y = [y_1, y_2, \ldots, y_p]^T \in \mathbb{R}^p$ is called the output of the system, and $n$ is called the dimension or the order of the system.</p>
+<p><strong>Remark</strong>:
+When $m = p = 1$, single input, single output, we have a SISO system.</p>
+<p>When $m > 1 or p > 1$, multi input, multi output, we have a MIMO system.</p>
+<p>When $f$ and $h$ do not explicitly depend on $t$, that is,</p>
+<p>$$
+\begin{aligned}
+\dot{x} &#x26; = f(x, u) \newline
+y &#x26; = h(x, u),
+\end{aligned}
+$$</p>
+<p>we have a time-invariant control system.</p>
+<p>When $f$ and $h$ are linear functions of $x$ and $u$, that is,</p>
+<p>$$
+\begin{aligned}
+\dot{x} &#x26; = F(t) x + G(t) u \newline
+y &#x26; = H(t) x + J(t) u,
+\end{aligned}
+$$</p>
+<p>for some matrices $F(t) \in \mathbb{R}^{n \times n}$, $G(t) \in \mathbb{R}^{n \times m}$, $H(t) \in \mathbb{R}^{p \times n}$, and $J(t) \in \mathbb{R}^{p \times m}$, we have a linear time-varying control system.</p>
+<p>When $F(t), G(t), H(t)$ and $J(t)$ are constant matrices, that is,</p>
+<p>$$
+\begin{aligned}
+\dot{x} &#x26; = F x + G u \newline
+y &#x26; = H x + J u,
+\end{aligned}
+$$</p>
+<p>we have a linear time-invariant (LTI) control system.</p>
+<p>Morever, $F \in \mathbb{R}^{n \times n}$ is called the system matrix, $G \in \mathbb{R}^{n \times m}$ is called the input matrix, $H \in \mathbb{R}^{p \times n}$ is called the output matrix, and $J \in \mathbb{R}^{p \times m}$ is called the direct transmission matrix.</p>
+<p>In our case, we will be focusing on LTI systems and in most cases we will assume $m = p = 1$ and $J = 0$.</p>
+<h3 id="deriving-a-linear-state-space-equation">Deriving a Linear State Space Equation</h3>
+<p>Let’s firstly look at how we derive this from a higher order ODE or transfer function.</p>
+<p>Recall the spring-mass-damper system with the ODE,</p>
+<p>$$
+M \frac{d^2 y}{dt^2} + f \frac{dy}{dt} + ky = u(t)
+$$</p>
+<p>In the Laplace domain, we have,
+$$
+G(s) = \frac{Y(s)}{U(s)} = \frac{1}{Ms^2 + fs + k},
+$$</p>
+<p>where $y$ is the position and $u$ is the force.</p>
+<p>Now, to derive the state space equation, we define the state variables as $x_1 = y$ and $x_2 = \dot{y}$.</p>
+<p>Then, we have the state equations,</p>
+<p>$$
+\begin{aligned}
+\dot{x}_1 &#x26; = x_2 \newline
+\dot{x}_2 &#x26; = -\frac{f}{M} x_2 - \frac{k}{M} x_1 + \frac{1}{M} u.
+\end{aligned}
+$$</p>
+<p>This can be written in matrix form as,</p>
+<p>$$
+\begin{aligned}
+\begin{bmatrix}
+\dot{x}_1 \newline
+\dot{x}_2
+\end{bmatrix} &#x26; =
+\begin{bmatrix}
+0 &#x26; 1 \newline
+-\frac{k}{M} &#x26; -\frac{f}{M}
+\end{bmatrix}
+\begin{bmatrix}
+x_1 \newline
+x_2
+\end{bmatrix} +
+\begin{bmatrix}
+0 \newline
+\frac{1}{M}
+\end{bmatrix} u \newline
+y &#x26; = \begin{bmatrix} 1 &#x26; 0 \end{bmatrix} \begin{bmatrix} x_1 \newline x_2 \end{bmatrix}.
+\end{aligned}
+$$</p>
+<p>This is the state space representation of the spring-mass-damper system.</p>
+<p>The problem of deriving a linear state space equation from a higher order ODE or transfer function is called <strong>realization</strong>.</p>
+<h4 id="physical-laws">Physical Laws</h4> <div class="mt-24"> <div class="grid grid-cols-2 gap-1.5 sm:gap-3"> <a href="/cityu/bme3105/bme3105_5" class="group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pl-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 5 - Stability </div> </a> <div class="invisible"></div> </div> </div> <div class="mt-24"> <div class="giscus"></div> <script data-astro-rerun src="https://giscus.app/client.js" data-repo="rezaarezvan/rezvan.xyz" data-repo-id="R_kgDOHvQr3w" data-category="General" data-category-id="DIC_kwDOHvQr384CiWVC" data-mapping="pathname" data-strict="0" data-reactions-enabled="1" data-emit-metadata="0" data-input-position="bottom" data-theme="preferred_color_scheme" data-lang="en" data-loading="lazy" crossorigin="anonymous" async></script> </div> </article> </div>  </main> <footer class="animate"> <div class="mx-auto max-w-screen-sm px-3"> <div class="relative"> <div class="absolute -top-12 right-0"> <button id="back-to-top" class="group relative flex w-fit flex-nowrap rounded border border-black/15 py-1.5 pl-8 pr-3 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-4 -translate-y-1/2 rotate-90 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-2 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="text-sm">Back to top</div> </button> </div> </div> <div class="flex items-center justify-between"> <div>&copy; 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diff --git a/cityu/cs4487/cs4487_7/index.html b/cityu/cs4487/cs4487_7/index.html
index 1cc19192..2a8e8d86 100644
--- a/cityu/cs4487/cs4487_7/index.html
+++ b/cityu/cs4487/cs4487_7/index.html
@@ -223,7 +223,7 @@
 <div class="font-base text-sm"> <time datetime="2024-10-23T00:00:00.000Z"> October 23, 2024 </time> </div> 
 &bull;
 <div class="font-base text-sm">
-Last modified:  <time datetime="2024-10-26T15:34:18.000Z"> October 26, 2024 </time> </div> 
+Last modified:  <time datetime="2024-10-30T15:35:59.000Z"> October 30, 2024 </time> </div> 
 &bull;
 <div class="font-base text-sm"> 7 min read </div> </div> <h1 class="animate text-3xl font-semibold text-black dark:text-white"> Part 7 - The Expectation Maximization Algorithm &amp; Linear Dimensionality Reduction </h1> </div> <details open class="animate rounded-lg border border-black/15 dark:border-white/20" data-astro-cid-xvrfupwn> <summary data-astro-cid-xvrfupwn>Table of Contents</summary> <nav class="" data-astro-cid-xvrfupwn> <ul class="py-3" data-astro-cid-xvrfupwn> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#expectation-maximization-em" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Expectation Maximization (EM) </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#jensens-inequality" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Jensen’s Inequality </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#em-derivation" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> EM Derivation </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#em-convergence" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> EM Convergence </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#remark" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Remark </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#clustering-summary" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Clustering Summary </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#dimensionality-reduction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Dimensionality Reduction </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#reasons-for-dimensionality-reduction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Reasons for Dimensionality Reduction </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#dimensionality-reduction-vs-feature-selection" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Dimensionality Reduction VS. Feature Selection </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#linear-dimensionality-reduction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Linear Dimensionality Reduction </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#connection-to-linear-regression" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Connection to Linear Regression </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#matrix-formulation" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Matrix Formulation </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#learning-criterion" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Learning Criterion </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#alternating-least-squares" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Alternating Least Squares </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#lack-of-uniqueness-for-optimal-parameters" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Lack of Uniqueness for Optimal Parameters </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#singular-value-decomposition-svd" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Singular Value Decomposition (SVD) </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#reduced-form-svd" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Reduced-Form SVD </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#eckart-young-mirsky-theorem" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Eckart-Young-Mirsky Theorem </a>  </li> </ul> </li> </ul> </nav> </details> <article class="animate"> <h3 id="expectation-maximization-em">Expectation Maximization (EM)</h3>
 <p>EM solves a maximum likelihood problem of the form,</p>
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 &bull;
 <div class="font-base text-sm"> <time datetime="2024-10-30T00:00:00.000Z"> October 30, 2024 </time> </div> 
 &bull;
+<div class="font-base text-sm">
+Last modified:  <time datetime="2024-10-30T15:35:59.000Z"> October 30, 2024 </time> </div> 
+&bull;
 <div class="font-base text-sm"> 14 min read </div> </div> <h1 class="animate text-3xl font-semibold text-black dark:text-white"> Part 8 - Principal Component Analysis </h1> </div> <details open class="animate rounded-lg border border-black/15 dark:border-white/20" data-astro-cid-xvrfupwn> <summary data-astro-cid-xvrfupwn>Table of Contents</summary> <nav class="" data-astro-cid-xvrfupwn> <ul class="py-3" data-astro-cid-xvrfupwn> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#eigenvectors" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Eigenvectors </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#example" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Example </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#linear-independence" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Linear Independence </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#some-matrices" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Some Matrices </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#eigendecomposition" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Eigendecomposition </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#eigendecomposition-of-symmetric-matrix" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Eigendecomposition of Symmetric Matrix </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#principal-component-analysis" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Principal Component Analysis </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#sample-variance-in-a-given-direction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Sample Variance in a Given Direction </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#pre-centering" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Pre-Centering </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#the-direction-of-maximum-variance" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> The Direction of Maximum Variance </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#k-largest-directions-of-variance" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> $K$ Largest Directions of Variance </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#dimensionality-reduction-with-pca" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Dimensionality Reduction with PCA </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#how-to-choose-the-number-of-pcs" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> How to Choose the Number of PCs? </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#connection-to-svd" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Connection to SVD </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#when-does-pca-fail" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> When Does PCA Fail? </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#kernel-principal-component-analysis" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Kernel Principal Component Analysis </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#limitations-of-linear-dimensionality-reduction" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Limitations of Linear Dimensionality Reduction </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#feature-mapping" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Feature Mapping </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#feature-mapping--svd" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Feature Mapping + SVD </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#feature-mapping--pca" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Feature Mapping + PCA </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#kernel-pca" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Kernel PCA </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#kernel-pca-algorithm" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Kernel PCA Algorithm </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#summary" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Summary </a>  </li> </ul> </nav> </details> <article class="animate"> <h3 id="eigenvectors">Eigenvectors</h3>
 <p>Let’s do a quick linear algebra recap.</p>
 <p>Assume $\mathbf{A} \in \mathbb{R}^{N \times N}, \mathbf{v} \in \mathbb{C}^{N \times 1}$, and $\lambda \in \mathbb{C}$.</p>
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 </button> </nav> </div> </div> </header> <main>  <div class="mx-auto max-w-screen-sm px-3"> <h1 class="mb-6 text-3xl font-bold"> Microelectromechanical Systems (MNE3115)
-</h1> <aside data-pagefind-ignore> <div class="space-y-10"> <div class="space-y-4"> <section class="animate space-y-4"> <div> <ul class="not-prose flex flex-col gap-4"> <li> <a href="/cityu/mne3115/mne3115_6" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 6 - Elasticity </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_5" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 5 - Fabrication Techniques </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_4" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 4 - Etching </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_3" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 3 - Thin Film Growth and Deposition </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_2" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 2 - Photolithography </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 1 - Introduction </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li> </ul> </div> </section> </div> </div> </aside> </div>  </main> 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+</h1> <aside data-pagefind-ignore> <div class="space-y-10"> <div class="space-y-4"> <section class="animate space-y-4"> <div> <ul class="not-prose flex flex-col gap-4"> <li> <a href="/cityu/mne3115/mne3115_7" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 7 - Thermal Actuators and Piezoresistivity </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out 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<line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_5" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 5 - Fabrication Techniques </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_4" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 4 - Etching </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_3" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 3 - Thin Film Growth and Deposition </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a href="/cityu/mne3115/mne3115_2" class="not-prose group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pr-10 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <div class="flex flex-1 flex-col truncate"> <div class="font-semibold"> Part 2 - Photolithography </div>  <div class="text-sm">  </div> </div> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> </a> </li><li> <a 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diff --git a/cityu/mne3115/mne3115_6/index.html b/cityu/mne3115/mne3115_6/index.html
index e1c6b968..63f9beec 100644
--- a/cityu/mne3115/mne3115_6/index.html
+++ b/cityu/mne3115/mne3115_6/index.html
@@ -390,7 +390,7 @@ <h4 id="applications-of-membrane-structures">Applications of membrane structures
 </li>
 </ul>
 </li>
-</ul> <div class="mt-24"> <div class="grid grid-cols-2 gap-1.5 sm:gap-3"> <a href="/cityu/mne3115/mne3115_5" class="group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pl-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 5 - Fabrication Techniques </div> </a> <div class="invisible"></div> </div> </div> <div class="mt-24"> <div class="giscus"></div> <script data-astro-rerun src="https://giscus.app/client.js" data-repo="rezaarezvan/rezvan.xyz" data-repo-id="R_kgDOHvQr3w" data-category="General" data-category-id="DIC_kwDOHvQr384CiWVC" data-mapping="pathname" data-strict="0" data-reactions-enabled="1" data-emit-metadata="0" data-input-position="bottom" data-theme="preferred_color_scheme" data-lang="en" data-loading="lazy" crossorigin="anonymous" async></script> </div> </article> </div>  </main> <footer class="animate"> <div class="mx-auto max-w-screen-sm px-3"> <div class="relative"> <div class="absolute -top-12 right-0"> <button id="back-to-top" class="group relative flex w-fit flex-nowrap rounded border border-black/15 py-1.5 pl-8 pr-3 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-4 -translate-y-1/2 rotate-90 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-2 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="text-sm">Back to top</div> </button> </div> </div> <div class="flex items-center justify-between"> <div>&copy; 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+</ul> <div class="mt-24"> <div class="grid grid-cols-2 gap-1.5 sm:gap-3"> <a href="/cityu/mne3115/mne3115_5" class="group relative flex flex-nowrap rounded-lg border border-black/15 px-4 py-3 pl-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 5 - Fabrication Techniques </div> </a> <a href="/cityu/mne3115/mne3115_7" class="group relative flex flex-grow flex-row-reverse flex-nowrap rounded-lg border border-black/15 px-4 py-4 pr-10 no-underline transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute right-2 top-1/2 size-5 -translate-y-1/2 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-3 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 19 12 12 19" class="-translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="flex items-center text-sm"> Part 7 - Thermal Actuators and Piezoresistivity </div> </a> </div> </div> <div class="mt-24"> <div class="giscus"></div> <script data-astro-rerun src="https://giscus.app/client.js" data-repo="rezaarezvan/rezvan.xyz" data-repo-id="R_kgDOHvQr3w" data-category="General" data-category-id="DIC_kwDOHvQr384CiWVC" data-mapping="pathname" data-strict="0" data-reactions-enabled="1" data-emit-metadata="0" data-input-position="bottom" data-theme="preferred_color_scheme" data-lang="en" data-loading="lazy" crossorigin="anonymous" async></script> </div> </article> </div>  </main> <footer class="animate"> <div class="mx-auto max-w-screen-sm px-3"> <div class="relative"> <div class="absolute -top-12 right-0"> <button id="back-to-top" class="group relative flex w-fit flex-nowrap rounded border border-black/15 py-1.5 pl-8 pr-3 transition-colors duration-300 ease-in-out hover:bg-black/5 hover:text-black focus-visible:bg-black/5 focus-visible:text-black dark:border-white/20 dark:hover:bg-white/5 dark:hover:text-white dark:focus-visible:bg-white/5 dark:focus-visible:text-white"> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="absolute left-2 top-1/2 size-4 -translate-y-1/2 rotate-90 fill-none stroke-current stroke-2"> <line x1="5" y1="12" x2="19" y2="12" class="translate-x-2 scale-x-0 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-hover:scale-x-100 group-focus-visible:translate-x-0 group-focus-visible:scale-x-100"></line> <polyline points="12 5 5 12 12 19" class="translate-x-1 transition-transform duration-300 ease-in-out group-hover:translate-x-0 group-focus-visible:translate-x-0"></polyline> </svg> <div class="text-sm">Back to top</div> </button> </div> </div> <div class="flex items-center justify-between"> <div>&copy; 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+&bull;
+<div class="font-base text-sm"> 9 min read </div> </div> <h1 class="animate text-3xl font-semibold text-black dark:text-white"> Part 7 - Thermal Actuators and Piezoresistivity </h1> </div> <details open class="animate rounded-lg border border-black/15 dark:border-white/20" data-astro-cid-xvrfupwn> <summary data-astro-cid-xvrfupwn>Table of Contents</summary> <nav class="" data-astro-cid-xvrfupwn> <ul class="py-3" data-astro-cid-xvrfupwn> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#discovery-of-joule-heating" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Discovery of Joule Heating </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#thermal-energy-generation" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Thermal Energy Generation </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#specific-heat-of-capacity" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Specific Heat of Capacity </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#joule-heating-cont" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Joule Heating (cont.) </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#thermal-strain" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Thermal Strain </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#how-do-thermal-actuators-work" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> How do Thermal Actuators Work? </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#piezoresistivity" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Piezoresistivity </a> <ul class="translate-x-3"> <li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#applications-at-macroscale" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Applications at Macroscale </a>  </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#metal-strain-gauge" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Metal Strain Gauge </a>  </li> </ul> </li><li class="list-inside list-disc px-6 py-1.5 text-sm"> <a href="#analysis-of-accelerometer" target="_self" class="inline-block decoration-black/30 dark:decoration-white/30 hover:decoration-black/50 focus-visible:decoration-black/50 dark:hover:decoration-white/50 dark:focus-visible:decoration-white/50 text-current hover:text-black focus-visible:text-black dark:hover:text-white dark:focus-visible:text-white transition-colors duration-300 ease-in-out underline underline-offset-[3px]"> Analysis of Accelerometer </a>  </li> </ul> </nav> </details> <article class="animate"> <h3 id="discovery-of-joule-heating">Discovery of Joule Heating</h3>
+<p>First experimentally provoen by James Prescott Joule in 1841, hence the name ‘Joule Heating’.</p>
+<p>Joule passed a current through a wire of fixed length, then immersed it in a bath of water of fixed volume/mass.
+He then observed the temperature in the water varied with current, length of the wire, and time.</p>
+<h3 id="thermal-energy-generation">Thermal Energy Generation</h3>
+<p>$$
+Q = I^2 R t,
+$$</p>
+<p>where $Q [\text{joule}] = [\text{kg m / s^2}]$ amount of <strong>Energy</strong> produced (in the form of heat).</p>
+<p>$I [\text{A}]$ is the <strong>Current</strong> passing through the wire.</p>
+<p>$R [\Omega]$ is the <strong>Resistance</strong> of the wire.</p>
+<p>$t [\text{s}]$ is the <strong>Time</strong> the current is passed through the wire.</p>
+<h4 id="specific-heat-of-capacity">Specific Heat of Capacity</h4>
+<p>$$
+C = \frac{Q}{M \Delta T},
+$$</p>
+<p>where $C [\text{joule / kg / K}]$ is the <strong>Specific Heat of Capacity</strong> of the material.</p>
+<p>$M [\text{kg}]$ is the <strong>Mass</strong> of the material.</p>
+<p>$\Delta T [\text{K}]$ is the <strong>Temperature Change</strong> of the material.</p>
+<p>Ideally, the temperature of the material rises continuously while we apply electrical current.</p>
+<p>However, there are always heat losses!</p>
+<ul>
+<li><strong>Radiation</strong>
+<ul>
+<li>$\frac{dQ}{dt} = - \phi_{\text{rad}} \Delta T^4$.</li>
+</ul>
+</li>
+<li><strong>Convection</strong>
+<ul>
+<li>$\frac{dQ}{dt} = - \phi_{\text{conv}} \Delta T$.</li>
+</ul>
+</li>
+<li><strong>Conduction</strong>
+<ul>
+<li>$\frac{dQ}{dt} = - \phi_{\text{cond}} \Delta T = - A_{\text{total}} \kappa \Delta T$.</li>
+</ul>
+</li>
+</ul>
+<p>where $A_{\text{total}} [\text{m^2}]$ is the <strong>Total Area</strong> attaching with nearby bodies.</p>
+<p>$\kappa [\text{W / m / K}]$ is the <strong>Thermal Conductivity</strong> of the material.</p>
+<p>$\Delta T [\text{K}]$ is the <strong>Temperature Difference</strong> relative to the nearby material.</p>
+<h3 id="joule-heating-cont">Joule Heating (cont.)</h3>
+<p>Heat losses increase with the level of the material temperature higher than its environment.</p>
+<p>In the steady state, we can always find,</p>
+<p>$$
+\frac{dQ}{dt} = CM \frac{dT}{dt} = \text{Heat Generation} + \text{Heat Losses} = 0.
+$$</p>
+<p>Which means,</p>
+<p>$$
+CM \frac{dT}{dt} = I^2 R - \phi_{\text{cond.}} \Delta T - \phi_{\text{conv.}} \Delta T - \phi_{\text{rad.}} \Delta T^4 = 0.
+$$</p>
+<p>When $\Delta T$ is small enough such that radiation effect is negligible, we have,</p>
+<p>$$
+I^2 R = (\phi_{\text{cond.}} + \phi_{\text{conv.}}) \Delta T.
+$$</p>
+<p>Therefore, the <strong>Joule Heating</strong> will generate an <strong>increment</strong> of the bulk material <strong>temperature</strong>. We only consider the conduction effect here, hence,
+$$
+I^2 R = A_{\text{total}} \kappa \Delta T.
+$$</p>
+<p>The resistance $R$ of a material can be calculated from its ‘resistivity’ $\zeta$ and dimensions,</p>
+<p>$$
+R = \zeta \frac{L}{A},
+$$</p>
+<p>where $\zeta$ is the <strong>electrical resistivity</strong> of the material.</p>
+<p>$L$ is the <strong>length of material</strong>.</p>
+<p>$A$ is the <strong>cross-sectional area</strong>.</p>
+<p>Therefore, we have the relation,</p>
+<p>$$
+\begin{align*}
+I^2 R &#x26; = A_{\text{total}} \kappa \Delta T \newline
+\frac{V^2}{R} &#x26; = A_{\text{total}} \kappa \Delta T \newline
+V^2 = \zeta L (\frac{A_{\text{total}}}{A}) \kappa \Delta T.
+$$</p>
+<h3 id="thermal-strain">Thermal Strain</h3>
+<p>If the temperature <strong>increases</strong>, generally a body <strong>expands</strong>, whereas if the temperature <strong>deacreses</strong>, a solid body will <strong>contract</strong>.</p>
+<p>If the body material is homogeneous and isotropic, it has been found that the thermal strain $\varepsilon_T$ caused by a change in temperature $\Delta T$ can be expressed as,</p>
+<p>$$
+\varepsilon_T = \alpha \Delta T,
+$$</p>
+<p>where $\alpha$ is a property of the material, referred to as the coefficient of linear thermal expansion.
+The units of $\alpha$ measure strain per degree of temperature.</p>
+<p>Therefore, we can convert <strong>electrical</strong> voltage to <strong>temperature</strong>, and to <strong>mechanical deformation/defection</strong>.</p>
+<h3 id="how-do-thermal-actuators-work">How do Thermal Actuators Work?</h3>
+<p>One component of MEMS is thermal actuators.</p>
+<p>When a voltage is applied to the terminals, current flows through the device.</p>
+<p>However, because of the different widths, the current density is unequal in the two arms.
+This leads to a different rate of Joule heating in the two arms, and thus to different amounts of thermal expansion.</p>
+<p>The <strong>thin arm</strong> is often referred to as the <strong>hot arm</strong>, and the <strong>wide arm</strong> is often referred to as the <strong>cold arm</strong>.</p>
+<p>So, we make use of differing arm thickness to provide movement.</p>
+<p>But we have a problem, using the principles described, it is difficult to obtain a movement linear to the supply voltage.</p>
+<ul>
+<li>The wide arm
+<ul>
+<li>Small resistance → Small heat generation.</li>
+<li>Large are → Heat loss due to convection.</li>
+<li>Temperature ~ environmental temperature.</li>
+</ul>
+</li>
+<li>The anchors
+<ul>
+<li>Physically connecting to the substrate (heat sink).</li>
+<li>Temperature ~ environmental temperature.</li>
+</ul>
+</li>
+</ul>
+<p>We approximate the length difference between the (extended) narrow arm and the wide arm during Joule heating as,</p>
+<p>$$
+V^2 \approx \zeta L_1 \frac{A_{\text{total}}}{A} \kappa \Delta T.
+$$</p>
+<p>Since the beam is contacting with other parts of the device on its both ends, we estimate $\frac{A_{\text{total}}}{A} \approx 2$, and the temperature rise becomes,</p>
+<p>$$
+\Delta T \approx \frac{V^2}{2 \zeta L_1 \kappa}.
+$$</p>
+<p>Thus, the length increment of the narrow arm is,</p>
+<p>$$
+\begin{align*}
+\Delta L &#x26; = L_1 \epsilon_T \newline
+&#x26; = \alpha L_1 \Delta T \newline
+&#x26; = \alpha \frac{V^2}{2 \zeta \kappa}.
+\end{align*}
+$$</p>
+<p>We further approximate the narrow arm is bended with a the shape of an arc (this is a very rough approximation).</p>
+<p>We neglect the geometric effects caused by the bending of the narrow beam at the end of the wide arm (again, this is a very rough approximation).</p>
+<p>Thus, we can approximate the tip displacement $x$ as,
+$$
+x \approx \Delta L \frac{L_1}{d}
+$$</p>
+<p>Since we have applied a couple rough approximations, we should consider to add a correction factor for the expression of $x$,
+$$
+\begin{align*}
+x &#x26; = \phi \Delta L \frac{L_1}{d} \newline
+&#x26; = \phi \alpha \frac{V^2 L_1}{2 \zeta \kappa d},
+\end{align*}
+$$</p>
+<p>The correction factor has been determined by experiments, such that,</p>
+<p>$$
+x = \frac{\alpha v^2 L_1}{2 \zeta \kappa d \sqrt{0.7707 + 0.3812(w_{\text{wide}}^2 / d^2)}},
+$$</p>
+<p>where $w_{\text{wide}}$ is the width of the wide arm.</p>
+<h3 id="piezoresistivity">Piezoresistivity</h3>
+<p>Consider a conductive block of length $L$, width $a$, and thickness $b$.</p>
+<p>The resitance $R_0$ along the length is given by,</p>
+<p>$$
+R_0 = \frac{\zeta L}{a b} = \frac{\zeta L}{A}.
+$$</p>
+<p>where $\zeta$ is the resistivity of the material.</p>
+<p>$A$ is the cross-sectional area.</p>
+<p>Change of relative dimensions, as the resistance is related to length and cross-sectional area (local),</p>
+<p>$$
+R = R_0 + \frac{\partial R}{\partial L} \Delta L + \frac{\partial R}{\partial \zeta} \Delta \zeta + \frac{\partial R}{\partial a} \Delta a + \frac{\partial R}{\partial b} \Delta b.
+$$</p>
+<p>A force appliex lengthwise results in deformation in all three axes.</p>
+<p>with $\sigma_x \neq 0$ and $\sigma_y = \sigma_z = 0$.</p>
+<p>$$
+\begin{align*}
+\Delta L &#x26; = \varepsilon L = \frac{\sigma_x L}{E} \newline
+-\Delta a &#x26; = \varepsilon v a = \frac{\sigma_x v a}{E} \newline
+-\Delta b &#x26; = \varepsilon v b = \frac{\sigma_x v b}{E}.
+\end{align*}
+$$</p>
+<p>We also consider that $\Delta \zeta \approx 0$.</p>
+<p>This causes a change in resistance,</p>
+<p>$$
+R = [1 + (1 + 2v) \varepsilon] R_0.
+$$</p>
+<p>Thus,</p>
+<p>$$
+\frac{\Delta R}{R_0} = (1 + 2v) \varepsilon = G \varepsilon.
+$$</p>
+<p>Where $G = (1 + 2v)$ is the gauge factor.</p>
+<p>$v$ is the Poisson’s ratio.</p>
+<h4 id="applications-at-macroscale">Applications at Macroscale</h4>
+<p>Spot-weldable strain gauges are used with strain gauge sensors and a vibrating wire indicator or data logger to monitor strain in steel members.</p>
+<p>Typical applications include:</p>
+<ul>
+<li>Monitoring structural members of buildings and bridges during and after construction.</li>
+<li>Determining load changes on ground anchors and other post-tensioned support systems.</li>
+<li>Monitoring load in strutting systems for deep excavations.</li>
+<li>Measuring strain in tunnel linings and supports.</li>
+<li>Monitoring areas of concentrated stress in pipelines.</li>
+<li>Monitoring distribution of load in pile tests.</li>
+</ul>
+<h4 id="metal-strain-gauge">Metal Strain Gauge</h4>
+<p>For metals, the resistivity is not changed significantly by the stres.
+The gauge factor is believed to be contributed by the change of dimensions.
+These may be made from thin wires or metal films that may be directly fabricated on top of micro structures.</p>
+<p>Thin film strain gauges are typically fabricated on top of flexible plastic substrates and glued to surfaces.</p>
+<p>Etched foil gauges consist of a conduction path etched onto metal clad plastic film.
+The strain gauges are designed to be glued, using very special procedures onto the component to be tested.</p>
+<p>When the component stretches, the strain gauge will also stretch as will the etched conduction path.</p>
+<h3 id="analysis-of-accelerometer">Analysis of Accelerometer</h3>
+<p>Acceleration induced force $F = ma$.</p>
+<p>The force induces stress at the fixed end of the cantilever beam.</p>
+<p>The stress is detected by change in resistance.</p>
+<p>Assumptions:</p>
+<ul>
+<li>
+<p>Assume entire resistance is concentrated at the anchor.</p>
+</li>
+<li>
+<p>For moment of inertia at the end, ignore the thickness of the resistor.</p>
+</li>
+<li>
+<p>Assume the stress on the resistor is the maximum value.</p>
+</li>
+<li>
+<p>The proof mass is rigid. It does not bend because of the significant thickness and width.</p>
+</li>
+</ul>
+<p>Under a given $a$, the force has a magnitude $F = ma$.</p>
+<p>The moment applied at the fixed end of beam is,</p>
+<p>$$
+M = F\left(l + \frac{L}{2}\right).
+$$</p>
+<p>Therefore, the maximum strain, which is the strain experienced by the resistor, is,
+$$
+\begin{align*}
+\varepsilon_{\text{max}} &#x26; = \frac{Mt}{2EI} \newline
+&#x26; = \frac{F\left(l + \frac{L}{2}\right)t}{\frac{Ewt^3}{6}} \newline
+&#x26; = \frac{6F\left(l + \frac{L}{2}\right)}{Ewt^3}.
+$$</p>
+<p>The strain is applied in the longitudinal direction of the resistor.</p>
+<p>Assuming the gauge factor is $G$, the change in resistance is,</p>
+<p>$$
+\frac{\Delta R}{R} = G \varepsilon_{\text{max}} = \frac{6GF\left(l + \frac{L}{2}\right)}{Ewt^3}. = \left(\frac{6GF\left(l + \frac{L}{2}\right)}{Ew^2t^2}\right) a.
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diff --git a/pagefind/fragment/en_33a5328.pf_fragment b/pagefind/fragment/en_12c1195.pf_fragment
similarity index 94%
rename from pagefind/fragment/en_33a5328.pf_fragment
rename to pagefind/fragment/en_12c1195.pf_fragment
index 5db551b72e26957e7656c89c89594ec5ec1321b9..72984186336c1d796088e61da6e7fb87e8ed8267 100644
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diff --git a/pagefind/fragment/en_17502f1.pf_fragment b/pagefind/fragment/en_17502f1.pf_fragment
deleted file mode 100644
index bd53aef7e62068b5b03bbeef3f93adc1474d1fbc..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 3325
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diff --git a/pagefind/fragment/en_e04cfd8.pf_fragment b/pagefind/fragment/en_17d9528.pf_fragment
similarity index 86%
rename from pagefind/fragment/en_e04cfd8.pf_fragment
rename to pagefind/fragment/en_17d9528.pf_fragment
index c5990672282eae55eda3bc58f7725b7ad4249740..e1475b6dbf5c95d2370dd66c23f729ddda44884f 100644
GIT binary patch
delta 317
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delta 318
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diff --git a/pagefind/fragment/en_1b1387d.pf_fragment b/pagefind/fragment/en_1b1387d.pf_fragment
deleted file mode 100644
index 6d606fedcf856e1a6825f5dc05b36648ee18f2ad..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 2221
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diff --git a/pagefind/fragment/en_ad2da85.pf_fragment b/pagefind/fragment/en_1e69fd6.pf_fragment
similarity index 95%
rename from pagefind/fragment/en_ad2da85.pf_fragment
rename to pagefind/fragment/en_1e69fd6.pf_fragment
index 8504c040f59ebe8dc4aa302ebe825bc931d95778..bbe774bbedd61bef20c806608509382a4eab33f1 100644
GIT binary patch
delta 104
zcmV-u0GI!x7Ni!iZwf7Q+C{YN;d@RjWHKWe(XDI)=b+@B89MY|>jvbG{eA812`vrr
zRKKxl=K!Gdlbi}#F7_ffY)<uHfwo2a`LoVZ+VRAK*LLASHL^QFdfPaiUT5>~&Hn(2
Kni`29AOHZrt~9p*

delta 103
zcmV-t0GR)z7NZuhZwf8ruOk`JWh;I<?IPOs@U>?H=b+@B89MY|>jvbG{eA813DFGk
zRKKxl=K!Dslbi}#Ej9<eit51vZHxBvXPu+8<B0{Y?ZSg<WOst}wsAVW&gS2n{{e5n
JB`_c$0071eG}-_F

diff --git a/pagefind/fragment/en_80c8632.pf_fragment b/pagefind/fragment/en_243ee0d.pf_fragment
similarity index 92%
rename from pagefind/fragment/en_80c8632.pf_fragment
rename to pagefind/fragment/en_243ee0d.pf_fragment
index 686cb968210adaadd49442d88b53b39fd393cc3b..f0b8db8972c8093ba311a8286e16a22a3729b3b4 100644
GIT binary patch
delta 64
zcmV-G0Kfmt5zG;=0thP%^QNI?Kl-r(%h<?gY3Ns#8N5JFN_untxBD5mTczJy$`e|e
W<I{AKB|nob2$u+F<#}wF6aWD2(;d(N

delta 64
zcmV-G0Kfmt5zG;=0thRN-+q>celEdRjGu;f{ph!g8N5JFO8R*IxBD5mTczJy$`i7f
W<I{AKCBu^~2$u-`a8Lc16aWAuVjw60

diff --git a/pagefind/fragment/en_c96fd9d.pf_fragment b/pagefind/fragment/en_25c1f66.pf_fragment
similarity index 80%
rename from pagefind/fragment/en_c96fd9d.pf_fragment
rename to pagefind/fragment/en_25c1f66.pf_fragment
index d96af76bebedc306bcedce3f6ab28f09dc0f1073..7363c53b4ae6b339d47e3576b63b71fb292cace1 100644
GIT binary patch
delta 278
zcmV+x0qOqi4D1ZBU<H4NW2z*|=caTd^;maI(w9XCAHy!0X?pqds>3DE!#77ZB+?XD
zqA|tOOXv$cy=<RKo%oTab2c2TyN?6KI#y#`Zw_kq(P$UDXpgTgQMN8>xYO6W;FO;~
zdwSXn^I8u>pcf~x8vCg!we?VcaJ1_sS<RF+>{a8afpOg5h2ekNQ%#L@^WdV!8}v`N
z@Qy1y9+I!ddA~Vm@Q+S*$ukiXT~7fuOnW+Lqn-Tnj5NLe)A9_DcG@_pdU%a+(Ku>`
z=jb^p2G2+_+8I-^XxIGjHU|y<)4_8R44;<ZcyO{iNvi7D%#X%d1Lc?Db8;L%Bge_{
c&X{+i5$(S2H24lqN9)`5e=D(r?hz3H0J7<hasU7T

delta 278
zcmV+x0qOqi4D1ZBU<H5Y3GSGr&jsA#)GCSbxuLy-k71Y0G`;+J)!~xo;hQ5H5^9Po
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c8S_pwq8$rOi|-C}w7y;c2YkRJY!MLv06(#cF8}}l

diff --git a/pagefind/fragment/en_27f2244.pf_fragment b/pagefind/fragment/en_27f2244.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..14cde95baa652330fb699b30a8a339e2e904cc34
GIT binary patch
literal 2906
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_2b1b645.pf_fragment b/pagefind/fragment/en_2b1b645.pf_fragment
deleted file mode 100644
index 4d4dcda971b5ca18ed8bfb354b19773c3b9110e3..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 1648
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diff --git a/pagefind/fragment/en_8b5c249.pf_fragment b/pagefind/fragment/en_36ea4c4.pf_fragment
similarity index 92%
rename from pagefind/fragment/en_8b5c249.pf_fragment
rename to pagefind/fragment/en_36ea4c4.pf_fragment
index c86bb6b80907a443481aa4202b65baca8eb0c99a..36c3fc55b2bff087715f3afb6d48b2e23cfbce15 100644
GIT binary patch
delta 73
zcmV-P0Ji_m6V4N`6$vzxPSLXaei*<KFJKCfuxtPgp#BR@>i)eQpkveU)5hYAmd5y0
f8a(n6Ms)E!;-m7$j&$OaNeO)j{HI}MRvQ2SBcUU(

delta 73
zcmV-P0Ji_m6V4N`6$vzdJB7Jeimy&OMZ50%onQbBp#BR@>i)eQpkveU)5hYAq{aAD
f8a(n_Ms)E!;-m7$j+Ee&NeO)j*FroYRvQ2SQ=cRq

diff --git a/pagefind/fragment/en_5d5c9a1.pf_fragment b/pagefind/fragment/en_38c31d7.pf_fragment
similarity index 90%
rename from pagefind/fragment/en_5d5c9a1.pf_fragment
rename to pagefind/fragment/en_38c31d7.pf_fragment
index 894146b3504425005e3b7ec881de890124f8ccc8..e01234d5c1b3135f5c932bbf4c307ae1f52c99a6 100644
GIT binary patch
delta 266
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Q_u=mUlJq;KA0Gk$0Q--VnE(I)

delta 266
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Q`*8Pv(@FZ^A0Gk$0IuMTxBvhE

diff --git a/pagefind/fragment/en_3abcabf.pf_fragment b/pagefind/fragment/en_3abcabf.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..38ecbf90b382a86f68bfeb0f617ac28e0a744464
GIT binary patch
literal 3350
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_bfab96b.pf_fragment b/pagefind/fragment/en_43ddbf2.pf_fragment
similarity index 89%
rename from pagefind/fragment/en_bfab96b.pf_fragment
rename to pagefind/fragment/en_43ddbf2.pf_fragment
index 6534f751257816dd7c9ef5aaca263d2ade1532a1..3435de6ac6f81e665a8a90ca2bf38e955d19657a 100644
GIT binary patch
delta 182
zcmV;n07?Jk4dD&2GzNb`2P1O7^_2m!sO7aX@(r|r8HEw%#O8nBFY=m-H}#o_mUx<5
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kFzzJa^h@SBPt)1J)A?l9aCY{G5C8k{E6H(<P-zbU0ORstod5s;

delta 185
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diff --git a/pagefind/fragment/en_46534ee.pf_fragment b/pagefind/fragment/en_46534ee.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..45e9382f9b10aa412360f5f0d562d79901e0c0ce
GIT binary patch
literal 679
zcmV;Y0$BYYiwFP!00002|6NqgZqq;zewC3=pgIYSijZ=HqCyY{L=hYisy6o6o@Tvk
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_482979a.pf_fragment b/pagefind/fragment/en_482979a.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..9ed4ceee6c2b340f946ca31895cf5c6d61993371
GIT binary patch
literal 1438
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_d15dbda.pf_fragment b/pagefind/fragment/en_488bb77.pf_fragment
similarity index 96%
rename from pagefind/fragment/en_d15dbda.pf_fragment
rename to pagefind/fragment/en_488bb77.pf_fragment
index 1b4330c7f54b664531a495f7a4719527f076b9a2..e7cf1fe20d89e6cecc828d9fbed21f3acc380091 100644
GIT binary patch
delta 92
zcmV-i0Hgo@CjKU{=@B-qHg5|Ky6b-yV3?4&v<3ecL?Cd4rO@qI)Li%9e>w^+WDHn5
y=8OzaHfzT>e$39pc<4NES+gG!M*$dp$RLB7`xj{tLx}#5pZ^!!Mpc!sHvj<D_bKH7

delta 92
zcmV-i0Hgo@CjKU{=@B+9`F3dw{`ZFP1#jEDEjabA|8H=FrO@qI)Li%9e>w^+WXxJT
yCgBWEHfzT>e$39pc<4NE0ka<xM*$f9kZ6LM`xj{tLx}#5pZ^z=BmqjVHvj;(sw_<a

diff --git a/pagefind/fragment/en_977054f.pf_fragment b/pagefind/fragment/en_4fa97c3.pf_fragment
similarity index 83%
rename from pagefind/fragment/en_977054f.pf_fragment
rename to pagefind/fragment/en_4fa97c3.pf_fragment
index fc48fbe10245e2847d2516d00dd28709222a0d81..3f2c9a3dec582bd8b99afc29ddb0dc8ef986d68f 100644
GIT binary patch
delta 189
zcmV;u07C!E3Cjtv7X*I@BQ5fk4-aTK%3CJw<EaOmECIQ7;IB=OOCDFxs%T=N0al{(
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rctl-y4#YJ6^=M4vBQc#Hj>%26PBhJTr_-iq<=^EGX2&FZISc>*<{4r}

delta 189
zcmV;u07C!E3Cjtv7X*I+Zke=CA$%HPq*Z+7JERAjECIQ7;IB=OOCDFxs%T=#1FS^n
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diff --git a/pagefind/fragment/en_51221ff.pf_fragment b/pagefind/fragment/en_51221ff.pf_fragment
deleted file mode 100644
index fe2c563dd7044aea1e4a82af12ecf5fa5d1bc83e..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/pagefind/fragment/en_595b461.pf_fragment b/pagefind/fragment/en_60dd164.pf_fragment
similarity index 92%
rename from pagefind/fragment/en_595b461.pf_fragment
rename to pagefind/fragment/en_60dd164.pf_fragment
index f995102488b229cb44fad5ade6b315aa9f59a7a5..8433ad4c438c4017b08009c2632718ced6ac0adc 100644
GIT binary patch
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diff --git a/pagefind/fragment/en_60ea2aa.pf_fragment b/pagefind/fragment/en_60ea2aa.pf_fragment
deleted file mode 100644
index 5cd8fc55abc171881b44ad3bb8cee477bcea52cf..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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diff --git a/pagefind/fragment/en_61f45d2.pf_fragment b/pagefind/fragment/en_61f45d2.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..f40445cc12195d8ee61b5add492811fca2546999
GIT binary patch
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diff --git a/pagefind/fragment/en_69eea1a.pf_fragment b/pagefind/fragment/en_69eea1a.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..b8df4086aa2e1477a0eda2cd128ef25af691ebdf
GIT binary patch
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literal 0
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diff --git a/pagefind/fragment/en_6a60884.pf_fragment b/pagefind/fragment/en_6a60884.pf_fragment
deleted file mode 100644
index 83b682582d496a4a72c32b44adcf1f2218223b35..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/pagefind/fragment/en_73882e4.pf_fragment b/pagefind/fragment/en_73882e4.pf_fragment
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diff --git a/pagefind/fragment/en_c7fa844.pf_fragment b/pagefind/fragment/en_75d36cc.pf_fragment
similarity index 88%
rename from pagefind/fragment/en_c7fa844.pf_fragment
rename to pagefind/fragment/en_75d36cc.pf_fragment
index 856b8557807c3de385ee30dd8f3a61add765c662..50898e186ac8ecb2700e6b1848df2bc0fb08f667 100644
GIT binary patch
delta 325
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delta 325
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diff --git a/pagefind/fragment/en_7bb1fb2.pf_fragment b/pagefind/fragment/en_7bb1fb2.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..b9383175884d2380f00b02797814e3e29a10b9d9
GIT binary patch
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diff --git a/pagefind/fragment/en_8121b05.pf_fragment b/pagefind/fragment/en_8121b05.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..f42a0c4a5491621902646ba3d17b70b56d78554c
GIT binary patch
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diff --git a/pagefind/fragment/en_8363a51.pf_fragment b/pagefind/fragment/en_8363a51.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..4c3ad879ff2008a0a533234a10854df9fd63a40f
GIT binary patch
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diff --git a/pagefind/fragment/en_83fafcc.pf_fragment b/pagefind/fragment/en_83fafcc.pf_fragment
deleted file mode 100644
index 51bdb573f6cc202632af6cebf619a27e90c3de26..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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diff --git a/pagefind/fragment/en_dd9f2de.pf_fragment b/pagefind/fragment/en_859987b.pf_fragment
similarity index 93%
rename from pagefind/fragment/en_dd9f2de.pf_fragment
rename to pagefind/fragment/en_859987b.pf_fragment
index b6f3ecb0f6230e88543fa37658b46c4dfd921305..58bd03d64d9d1ffe5b6411dbef17df982f14052c 100644
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diff --git a/pagefind/fragment/en_866d94a.pf_fragment b/pagefind/fragment/en_866d94a.pf_fragment
deleted file mode 100644
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GIT binary patch
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diff --git a/pagefind/fragment/en_88731e8.pf_fragment b/pagefind/fragment/en_88731e8.pf_fragment
deleted file mode 100644
index 4ae41d6ce8a138383c72cc02c8ef3edf251909b8..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/pagefind/fragment/en_10e6ae5.pf_fragment b/pagefind/fragment/en_89c9726.pf_fragment
similarity index 92%
rename from pagefind/fragment/en_10e6ae5.pf_fragment
rename to pagefind/fragment/en_89c9726.pf_fragment
index 1adedc05348817878e374694cbca319add9baa42..7d77e9c6df55a4dcce5c0a88c7bb8f7adbbaf7c2 100644
GIT binary patch
delta 62
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diff --git a/pagefind/fragment/en_8ad85eb.pf_fragment b/pagefind/fragment/en_8ad85eb.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..bc8fa551603671252750cc5a48ffc4adc113a0d9
GIT binary patch
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diff --git a/pagefind/fragment/en_8aebf34.pf_fragment b/pagefind/fragment/en_8aebf34.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..0d27eb64ce83ac23daf7a0389e528c89cf961d0d
GIT binary patch
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_6c98d3e.pf_fragment b/pagefind/fragment/en_91d8d0c.pf_fragment
similarity index 87%
rename from pagefind/fragment/en_6c98d3e.pf_fragment
rename to pagefind/fragment/en_91d8d0c.pf_fragment
index 4fc888f6dc5f3338e5551223892ca6243ec02259..51c0ce6740fff5cfb9f2ddf023a34d08d6f40d27 100644
GIT binary patch
delta 352
zcmV-m0iXW6EW9j`#st>f+jg<Z!V^MTuJVYMefGbF0@!@=sUOjwci8}HejFfv0iM6l
zHzW$<`VYU1@6pl_pPXU6t~;#Pl@r1gw~9q8|DXz%(a;^Azmv@rXMd?9ItKO%;VMsf
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z4@^a`Th?zKl5X2js3P%j=bJXkvvEh4<Bo16GVEp-VR`oY>R`=sKHP3sdz}}PG*l0%
yXUtWQkMFhWv(y3gH3!ra4ye1i4yYZ|+#YpT4%*#*xVw12_z4GBz-R|6O#lGkWx2xu

delta 351
zcmV-l0igc8EW0d_#sk+pbg|096G9rlJ@q5{6D;_et30AzpZ!mxYydSs4iLWp&)?@8
z5`}U7hhN6`2#pY*oMFALJFM506G9EQibX5`pbD1J&>bJRlg<=pe}x8>uv?|cJ>l`r
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xu7Z4guT`I=4ydm=pq_9*-OY7C?U?5FsJn8|?)Jmo#rwrS2>|RlKD;YU0087OwjTfh

diff --git a/pagefind/fragment/en_91ea4c5.pf_fragment b/pagefind/fragment/en_91ea4c5.pf_fragment
deleted file mode 100644
index d9c004d09e684deef57b83961543d02cd54d561f..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 2131
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J)h13D001-TAwK{B

diff --git a/pagefind/fragment/en_924925f.pf_fragment b/pagefind/fragment/en_924925f.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..abce435f810eba6c2e89b2dac18fb651568d247d
GIT binary patch
literal 567
zcmV-70?7RziwFP!00002|6Nl-Zrd;r{K`USTdAF#a%)dbn_iltJrsqpCRftdBv&9Q
zD@qU`&uFiGnqShToH|Ai0z`6lW;na-v89HC-B@EEt0B7Ty1M8k<#a)ov&4&PQ5gxD
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_137580a.pf_fragment b/pagefind/fragment/en_938b3d9.pf_fragment
similarity index 86%
rename from pagefind/fragment/en_137580a.pf_fragment
rename to pagefind/fragment/en_938b3d9.pf_fragment
index 543711e62f9b51fc88ba5a62c14e9f5150b3f293..8dbf2f78490dad0789d759d45bb801ac131e460d 100644
GIT binary patch
delta 200
zcmV;(05|`O4T}x1%msgFr7ehc*^3a{4q(CydbtiDfh$0fxDU4jQHavNY4ZbOO|g>E
zi;>X94eg)xsfA9QS%Z`PXLrNpKzIO-D3Usm_A%H4INDtWklsI^MhN6l=kX44<qNAP
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ztU~M6hxl&$<Ou6%4OUbFVyr$n!g{*5>K1C3!X3!F_PaZMynA$adG`-_NxvYq5dZ+v
Cz+ox?

delta 200
zcmV;(05|`O4T}x1%mshwI3~QHrzt+Iv<019_COp!0#|?{aUX66q7bEj)8+?+lwu{L
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CQD0#I

diff --git a/pagefind/fragment/en_ff7f441.pf_fragment b/pagefind/fragment/en_97e059f.pf_fragment
similarity index 83%
rename from pagefind/fragment/en_ff7f441.pf_fragment
rename to pagefind/fragment/en_97e059f.pf_fragment
index 6afb00827a5fa0cda4f9424e352746785cda0acd..415e2f7d588a9a89184588d2cfba25b59915927e 100644
GIT binary patch
delta 450
zcmV;z0X_b^7P=O&g9(3_>?Z`c`Dq4Q8ufxF^zCQ|w0R05bkK*p9g&Eo`Kq*dN}v&*
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sv^VT|b!EqiU3Gsu#~mH^>7Xa^v?{)Ka31gNt$$hn2N$)_eS;zZ0AptHjsO4v

delta 451
zcmV;!0X+V?7P}U(g9(3n|AHs<fe5b{^e2S3`K4wDw0R05bkK*p9g&Eo`Kq*dN>m~|
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tPkY0jS66nN*j4wpbKKEkpALEwPpjf<2j}tL-ujpIe*o!f{cVFH000yv_TB&h

diff --git a/pagefind/fragment/en_9950cda.pf_fragment b/pagefind/fragment/en_9950cda.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..a08238277406c825bcea9355022f3184b20ba85b
GIT binary patch
literal 2021
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diff --git a/pagefind/fragment/en_9df911a.pf_fragment b/pagefind/fragment/en_9df911a.pf_fragment
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diff --git a/pagefind/fragment/en_9ec389e.pf_fragment b/pagefind/fragment/en_9ec389e.pf_fragment
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diff --git a/pagefind/fragment/en_a4bafd9.pf_fragment b/pagefind/fragment/en_a4bafd9.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..8380ac4c9f7b17d8e8e79e0bf137499166149eae
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diff --git a/pagefind/fragment/en_9c73615.pf_fragment b/pagefind/fragment/en_ab1e11b.pf_fragment
similarity index 87%
rename from pagefind/fragment/en_9c73615.pf_fragment
rename to pagefind/fragment/en_ab1e11b.pf_fragment
index a474ed73f03a012968ebccf901c2d0c199bba5d3..d5f9a3f1680ced08da8624a8b42e57fdbe36f7ca 100644
GIT binary patch
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diff --git a/pagefind/fragment/en_ae82633.pf_fragment b/pagefind/fragment/en_ae82633.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..ef1b0403c1d78ceda7dcd32a2caba8410fce2292
GIT binary patch
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_17ba972.pf_fragment b/pagefind/fragment/en_af2f85d.pf_fragment
similarity index 91%
rename from pagefind/fragment/en_17ba972.pf_fragment
rename to pagefind/fragment/en_af2f85d.pf_fragment
index 418cfd9ae39168ee93037fcb217b558a9c3a468e..de57bed0617a0dadad2e827dd0ff99fe4efde72f 100644
GIT binary patch
delta 187
zcmV;s07U=x67v$U!3ci~CKP<~t1r-SMwDFZf?w_pU`1P~W0U{7A5a`0c(R`J(Hx(;
zw`k)!so*YzCl4quT->n-XQxm1qXUJfjl#oieB4f{PVv`Xa2yzzK6`#-VSZ$RFF9lG
zbYr<(e4+p75_F(_{`~Z7+T&_HPOI>^xjpo7dH8y92+#D{*Yq>T${9DyPN(;1^*qq`
pbT<8(zTVs#j}J?5oJz2>@q5;R1H;ee&-ee{{|W>2Pzhlc000DhV(9<?

delta 190
zcmV;v073ur67~|X!3cko1J}CX7kBs?Oek3JtMAhWu%a#0vB`hk4=9cgh^*(VF2|?t
zE!tS#qOo3dAw2m)+h|a@xML5_PM_{a2MSLcg@@btxSdj+;;+5nI504M_Wa1g{Kx`d
za>m^0#&Ws%LjTbv=s^4Y`RUiR$JKhAR^f4Td+6cv@b%&lp6NETuj!AKGj5ihPVdp`
sd7$s<Z2C2Qy}30WAC}-am0)M%_pAd4hM&!!@Bh9373j^w+hG;}01Q!XD*ylh

diff --git a/pagefind/fragment/en_ecf5fff.pf_fragment b/pagefind/fragment/en_b5456d4.pf_fragment
similarity index 89%
rename from pagefind/fragment/en_ecf5fff.pf_fragment
rename to pagefind/fragment/en_b5456d4.pf_fragment
index b5deb21227be0fc163716c80e002125f5cd13824..4458c5922d366242fd67a9b7134be874a6cb1357 100644
GIT binary patch
delta 131
zcmV-}0DS+-3(5<yPX&8<<u!}lyQGs`Kp6|ozb9IxhPW!Rtn>F}i+)U`)h~_YkVPeZ
zY8KvZv+%Mm{KP`Hc5}MYHV&jt9u3OQZpdcrt&yIsPu2i~Umo3suqxa&#L33d8e`ah
ld>4jY&!6rJuWK{@vWC5XO5N0TbXfjT{sW5lGRfc#003T(L;?T+

delta 131
zcmV-}0DS+-3(5<yPX&90+p*C6JAuA><u$*$cV};r8se(Nvd-U^E&4H$R=+foLxz;}
zsabft&BDvz_=$yX?dEi)Z5&9QJQ|dp-H^@LTO&PNpR54}zdX7NVO6+mh?9+@HO8?2
l_$~~)o<H3cUe{*)Wet1(l)9<w=&<~w{0A^>j(^|{004*}MxFow

diff --git a/pagefind/fragment/en_ce70945.pf_fragment b/pagefind/fragment/en_b8133ca.pf_fragment
similarity index 91%
rename from pagefind/fragment/en_ce70945.pf_fragment
rename to pagefind/fragment/en_b8133ca.pf_fragment
index a639a929b1c2592e5ed49429b9f97df1ae14aa91..5c2c7d52153ba2cf008e8e04427fc85e71b0fa9e 100644
GIT binary patch
delta 188
zcmV;t07L)$6a5pgN(p~C?Gl={??M;T7-S?9x_oY77l?uc!Ipnrw{Y{E`fKUgfTqTH
z%Nkc32j$fUZ3lwI@1575_??)D<F_?Dd$#H9hPLHhP7Qb67^)%qgWf|J&8vbP;_bY`
z*~UJ8zE?il;GTS8sKyxd2758e&ix)vW4M9Ue-Nuq(}RXX1L8DpZ`Zgd$Hx!hX3PQy
qd*L50C-<EFur-<94z}s7VUb<zw}t)e<ZSb|&Hn&ky_tt>82|uKNMq~(

delta 187
zcmV;s07U=&6Z{jfN(q1Q-;qq{RvDj8yM$KlyWeeL7l?uc!Ipnrw{Y{E`fKUgfDmK6
zWsR$igYs&F@IkQnz4Q7LzY`O2{I-T?&o-Ui(6+qGso}00Lp4Ny(0d4@c~!7Oyq#A#
z+t|m?_sT~b+><X1)fj``U@u15x!=QS3^%a)4`S76dQf?=LfkXu-X`wJ@$o~r8MDB_
pUigR0$vtO3Y)z)OgKc_iSY#LbZDBt<Ioteg^FQ}RF_df>007b8WIF%=

diff --git a/pagefind/fragment/en_b932973.pf_fragment b/pagefind/fragment/en_b932973.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..f1c41c46f624198b0490c9fa210874b2aa3a3c13
GIT binary patch
literal 151
zcmV;I0BHXoiwFP!00002{~e7@4uc>Ng|E`g+Gx6U*DG|}G-e8@B)||DYK!si4({Gx
zz87&ZvkiLEO7BpTgAoSkKv7^5SX?soi=qGhtHc{6Jt-=!xpy#I$0lVM_oD-E7)62g
z!fcpJ<RMb#JZvkWw|xwYVA!&2lgEb&-=3zTgx7pR*G}UcL68{KN{#<|A1C?zC8nwX
F001*9L<j%?

literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_7af6e4a.pf_fragment b/pagefind/fragment/en_b93b79b.pf_fragment
similarity index 87%
rename from pagefind/fragment/en_7af6e4a.pf_fragment
rename to pagefind/fragment/en_b93b79b.pf_fragment
index fa536ed608235a05f512df8379c8eb881ead2a96..c2fcba04de3441b9cc957301d3cb49ee38d2fe40 100644
GIT binary patch
delta 248
zcmV<U00;l`5%UqS1PFgEbU;!sxF?0Qfm*l$UF~+D3(GiMQ2g`0lhPWzS)G%pkEdcP
zkt!quYm@R?AU#7=I^(PBL%#xYk%5@YpTWSE_drC0Ce*Lp{Z#Y}uP<wg3Tw^R_yAsK
zM5;~Ox4!Hv8b>#mZLSsAq$wLMO|dGEo(lT;#rez7?aXh(&fjnr$QQ#mFF;P4ZX<5-
zu7rAZ(-!}n(G*}#X{o@t9KO6*8bH57@v0>`x@uFCqc%mhfofH8uSPGzJ+6mFCQ`wE
yGrajW_EFA`W@r`jdeoLO8UTZh9V>&Zdlk5iQ>TJ`J-Rvka`*$U1*-;P8UO$cN_UR{

delta 248
zcmV<U00;l`5%UqS1PFiga^VJaS&N@q=zuo8;M%kUUHFf~1;sz_J1MQf=G8d?`*<p*
z5@915SeumB0_ho|(ivY}ANm!LiwwkE{tO1Tyays0G@*X&?x&(>czsz@R9I`i#s_dS
zBT{YJzV&5a(Kx!fY;&!^CQaFBX^K^O^i<H#FV0_vZfAZQcK&d-K)x8hc>!|TbQ^Jt
zcO}%To3{ApjHUo{N=pUC<?!Xj(g6AuidQYk(N&w89JML34OFX&do_9y?r}XdGLZ`Q
yo8is3v5#_gG()SH*Q2(S(Eu21>{uCO-K)TDoH`Zk>(R~Om%|@C>Qdxl8UO$)Dtie4

diff --git a/pagefind/fragment/en_b98ddb5.pf_fragment b/pagefind/fragment/en_b98ddb5.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..07a75f8f2c1ad31ccc14e495dbdc9e8e2ea58b19
GIT binary patch
literal 5785
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diff --git a/pagefind/fragment/en_d672aca.pf_fragment b/pagefind/fragment/en_ba1cf97.pf_fragment
similarity index 90%
rename from pagefind/fragment/en_d672aca.pf_fragment
rename to pagefind/fragment/en_ba1cf97.pf_fragment
index 788ffa28585a83fc9cb18aa3bf73fad5b8bec481..8b817c2bdc9f3c469151e0cc306340250cf4a8a7 100644
GIT binary patch
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diff --git a/pagefind/fragment/en_baa4b0a.pf_fragment b/pagefind/fragment/en_baa4b0a.pf_fragment
deleted file mode 100644
index 2d4284198f41681d746007999abfde5c237f6ee2..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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diff --git a/pagefind/fragment/en_be44423.pf_fragment b/pagefind/fragment/en_be44423.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..1c5f063de9025ce56912ebf6ce5d93e1bc1859b9
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diff --git a/pagefind/fragment/en_c06ad6b.pf_fragment b/pagefind/fragment/en_c06ad6b.pf_fragment
deleted file mode 100644
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GIT binary patch
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diff --git a/pagefind/fragment/en_c16b536.pf_fragment b/pagefind/fragment/en_c16b536.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..a9140e14ed920de0cb915a69bdac4902295af8c2
GIT binary patch
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diff --git a/pagefind/fragment/en_c59479e.pf_fragment b/pagefind/fragment/en_c59479e.pf_fragment
deleted file mode 100644
index 8d50a727c12c06742d4444b1ed9847062fd1267b..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 152
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diff --git a/pagefind/fragment/en_50be2f6.pf_fragment b/pagefind/fragment/en_c6c7c79.pf_fragment
similarity index 91%
rename from pagefind/fragment/en_50be2f6.pf_fragment
rename to pagefind/fragment/en_c6c7c79.pf_fragment
index 743b9dad31abec34f47eb3694bdd94d698e843ae..18f1f026a22ffc240d927be99e6d09125b3b7188 100644
GIT binary patch
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diff --git a/pagefind/fragment/en_c76d7eb.pf_fragment b/pagefind/fragment/en_c76d7eb.pf_fragment
deleted file mode 100644
index 9bfb614cd9957c66746194c47fca33851bd238ec..0000000000000000000000000000000000000000
GIT binary patch
literal 0
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_d925f52.pf_fragment b/pagefind/fragment/en_d925f52.pf_fragment
new file mode 100644
index 0000000000000000000000000000000000000000..37ea74a62ba417a5e5a2616fdeb2f10bd070f4cb
GIT binary patch
literal 2588
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literal 0
HcmV?d00001

diff --git a/pagefind/fragment/en_d67320e.pf_fragment b/pagefind/fragment/en_e2e7ef6.pf_fragment
similarity index 85%
rename from pagefind/fragment/en_d67320e.pf_fragment
rename to pagefind/fragment/en_e2e7ef6.pf_fragment
index da49423dce2ad348f5aa8e9ce0f89d2902a3f926..fe136396723b65def9a7a0a30561f0dbd9620a7f 100644
GIT binary patch
delta 218
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zY7OIq)-YyE82#9=;{uNj+9W|3I~S*Ci|!iyX$`+@_y+E3wa^?t>+d?gWK?tfZne-H
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U&^mwKU;MN99~P&$HP;US0E@hEsQ>@~

delta 218
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diff --git a/pagefind/fragment/en_e961c1d.pf_fragment b/pagefind/fragment/en_e961c1d.pf_fragment
deleted file mode 100644
index a65cadad4cb41d284e42c6bd1228bc389ecf3dd4..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 2587
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diff --git a/pagefind/fragment/en_f48e4c2.pf_fragment b/pagefind/fragment/en_f48e4c2.pf_fragment
deleted file mode 100644
index 9760741e438ac65c31aa417c215f8095b25f77fb..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 566
zcmV-60?GX!iwFP!00002|6Nl-Zrd;r{K`USTdAF#a%)dbn_iltJrsqpCRftdBv&9Q
zD@qU`&uFiGnqShToH|Ai0z~d`W;na-v89HC-B@EEt0B7Ty1M8k<#a)ov&4&PQ5gxD
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E05ik}OaK4?

diff --git a/pagefind/fragment/en_3a84fb3.pf_fragment b/pagefind/fragment/en_fdbb53b.pf_fragment
similarity index 96%
rename from pagefind/fragment/en_3a84fb3.pf_fragment
rename to pagefind/fragment/en_fdbb53b.pf_fragment
index 67df495965d9c57f80f42f562bdbd0e84f268cf1..7dfc3cce8342d7f3de51df3ad04e3b9134bab51d 100644
GIT binary patch
delta 70
zcmV-M0J;CAAf+I%&kix*LM9{eU;Sq__=Z*bfNF^EMo<-CX6Z=pe|;Jm2?SF3fR?8C
csb5<sy-=KVfkK*?vJV{r2!rV*bebsu0FAyL;Q#;t

delta 70
zcmV-M0J;CAAf+I%&kixL_z$RT*aE-eekP;czWT3hMo<-CX6Z=pe|;Jm2?SF3fW)Wx
csb5<sy-=KVfkIoGvJV{r2;gW$^_nRF0K4NL3jhEB

diff --git a/pagefind/index/en_164cf15.pf_index b/pagefind/index/en_164cf15.pf_index
deleted file mode 100644
index 0648570bbc40ac5308f2c3e92f3bfaec28c9bde9..0000000000000000000000000000000000000000
GIT binary patch
literal 0
HcmV?d00001

literal 36899
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diff --git a/pagefind/index/en_b51644f.pf_index b/pagefind/index/en_b51644f.pf_index
deleted file mode 100644
index a7c89d09144b5b0d344ee695364d7b67998abae6..0000000000000000000000000000000000000000
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diff --git a/pagefind/pagefind-entry.json b/pagefind/pagefind-entry.json
index 6db7f0c9..bebe21ca 100644
--- a/pagefind/pagefind-entry.json
+++ b/pagefind/pagefind-entry.json
@@ -1 +1 @@
-{"version":"1.1.1","languages":{"en":{"hash":"en_651afc4495","wasm":"en","page_count":169}}}
\ No newline at end of file
+{"version":"1.1.1","languages":{"en":{"hash":"en_2b633429b6","wasm":"en","page_count":171}}}
\ No newline at end of file
diff --git a/pagefind/pagefind.en_2b633429b6.pf_meta b/pagefind/pagefind.en_2b633429b6.pf_meta
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Controllers in the Laplace domain</title><link>https://rezvan.xyz/chalmers/ere103/ere103_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_3/</guid><pubDate>Sun, 05 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Transfer functions</title><link>https://rezvan.xyz/chalmers/ere103/ere103_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_2/</guid><pubDate>Tue, 31 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/ere103/ere103/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103/</guid><pubDate>Mon, 30 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 21 - Summary</title><link>https://rezvan.xyz/chalmers/lma017/lma017_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_summary/</guid><pubDate>Thu, 19 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 20 - Divergence and Stokes&apos; Theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_20/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_20/</guid><pubDate>Wed, 18 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - Summary</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_summary/</guid><pubDate>Sun, 15 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 19 - Surface integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_19/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_19/</guid><pubDate>Wed, 11 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 18 - Green&apos;s Theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_18/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_18/</guid><pubDate>Tue, 10 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 17 - Gradient theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_17/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_17/</guid><pubDate>Wed, 04 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 16 - Vector fields</title><link>https://rezvan.xyz/chalmers/lma017/lma017_16/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_16/</guid><pubDate>Tue, 03 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 15 - Line integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_15/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_15/</guid><pubDate>Sun, 01 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Laplace transform</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_9/</guid><pubDate>Thu, 28 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 14 - Curves</title><link>https://rezvan.xyz/chalmers/lma017/lma017_14/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_14/</guid><pubDate>Wed, 27 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 13 - The Jacobian</title><link>https://rezvan.xyz/chalmers/lma017/lma017_13/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_13/</guid><pubDate>Tue, 26 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Signal reconstruction</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_8/</guid><pubDate>Mon, 25 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 12 - Change of variables</title><link>https://rezvan.xyz/chalmers/lma017/lma017_12/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_12/</guid><pubDate>Fri, 22 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Nyquist-Shannon sampling theorem</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_7/</guid><pubDate>Thu, 21 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 11 - General regions (2)</title><link>https://rezvan.xyz/chalmers/lma017/lma017_11/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_11/</guid><pubDate>Wed, 20 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 6 - Fourier Transform</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_6/</guid><pubDate>Wed, 20 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - General regions (1)</title><link>https://rezvan.xyz/chalmers/lma017/lma017_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_10/</guid><pubDate>Tue, 19 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Double and triple integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_9/</guid><pubDate>Fri, 15 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Fourier series</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_5/</guid><pubDate>Fri, 15 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Differential equation models</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_4/</guid><pubDate>Thu, 14 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Lagrange multipliers</title><link>https://rezvan.xyz/chalmers/lma017/lma017_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_8/</guid><pubDate>Wed, 13 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Absolute max and min values</title><link>https://rezvan.xyz/chalmers/lma017/lma017_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_7/</guid><pubDate>Tue, 12 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 6 - Maximum and minimum values</title><link>https://rezvan.xyz/chalmers/lma017/lma017_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_6/</guid><pubDate>Fri, 08 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Directional derivatives</title><link>https://rezvan.xyz/chalmers/lma017/lma017_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_5/</guid><pubDate>Wed, 06 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Convolution</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_3/</guid><pubDate>Tue, 05 Sep 2023 19:03:17 GMT</pubDate></item><item><title>Part 4 - Chain rule</title><link>https://rezvan.xyz/chalmers/lma017/lma017_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_4/</guid><pubDate>Tue, 05 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - System properties &amp; LTI</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_2/</guid><pubDate>Mon, 04 Sep 2023 20:03:17 GMT</pubDate></item><item><title>Part 3 - Higher partial derivatives</title><link>https://rezvan.xyz/chalmers/lma017/lma017_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_3/</guid><pubDate>Fri, 01 Sep 2023 08:53:01 GMT</pubDate></item><item><title>Part 2 - Continuity &amp; partial derivatives.</title><link>https://rezvan.xyz/chalmers/lma017/lma017_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_2/</guid><pubDate>Wed, 30 Aug 2023 08:53:01 GMT</pubDate></item><item><title>Part 1 - Signals</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081/</guid><pubDate>Tue, 29 Aug 2023 14:12:51 GMT</pubDate></item><item><title>Part 1 - Functions of several variables</title><link>https://rezvan.xyz/chalmers/lma017/lma017/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017/</guid><pubDate>Tue, 29 Aug 2023 08:53:01 GMT</pubDate></item><item><title>Part 9 - Summary</title><link>https://rezvan.xyz/chalmers/eda333/eda333_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_summary/</guid><pubDate>Thu, 25 May 2023 09:22:18 GMT</pubDate></item><item><title>Part 14 - Summary</title><link>https://rezvan.xyz/chalmers/eem076/eem076_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_summary/</guid><pubDate>Fri, 19 May 2023 14:57:46 GMT</pubDate></item><item><title>Part 13 - Op-Amps and Filters</title><link>https://rezvan.xyz/chalmers/eem076/eem076_13/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_13/</guid><pubDate>Fri, 19 May 2023 09:34:16 GMT</pubDate></item><item><title>Part 12 - Power in AC Circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_12/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_12/</guid><pubDate>Fri, 12 May 2023 08:06:12 GMT</pubDate></item><item><title>Part 11 - Calculation methods for AC-circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_11/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_11/</guid><pubDate>Mon, 08 May 2023 14:36:54 GMT</pubDate></item><item><title>Part 10 - Steady-state sinusoidal analysis</title><link>https://rezvan.xyz/chalmers/eem076/eem076_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_10/</guid><pubDate>Tue, 02 May 2023 13:33:02 GMT</pubDate></item><item><title>Part 8 - Parallel Processors</title><link>https://rezvan.xyz/chalmers/eda333/eda333_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_8/</guid><pubDate>Fri, 28 Apr 2023 16:12:01 GMT</pubDate></item><item><title>Part 9 - Electromagnetic Waves</title><link>https://rezvan.xyz/chalmers/eem076/eem076_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_9/</guid><pubDate>Tue, 25 Apr 2023 17:40:29 GMT</pubDate></item><item><title>Part 7 - Floating-point arithmetic</title><link>https://rezvan.xyz/chalmers/eda333/eda333_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_7/</guid><pubDate>Tue, 25 Apr 2023 13:18:21 GMT</pubDate></item><item><title>Part 8 - Magnetic fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_8/</guid><pubDate>Mon, 24 Apr 2023 15:33:32 GMT</pubDate></item><item><title>Part 6 - Virtual Memory</title><link>https://rezvan.xyz/chalmers/eda333/eda333_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_6/</guid><pubDate>Fri, 21 Apr 2023 17:28:25 GMT</pubDate></item><item><title>Part 7 - Electrical &amp; Magnetic fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_7/</guid><pubDate>Tue, 18 Apr 2023 14:54:06 GMT</pubDate></item><item><title>Part 6 - Work, Voltage and Capacitance</title><link>https://rezvan.xyz/chalmers/eem076/eem076_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_6/</guid><pubDate>Tue, 18 Apr 2023 10:05:29 GMT</pubDate></item><item><title>Part 5 - Cache memory</title><link>https://rezvan.xyz/chalmers/eda333/eda333_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_5/</guid><pubDate>Thu, 13 Apr 2023 18:04:58 GMT</pubDate></item><item><title>Part 4 - Pipeline hardware</title><link>https://rezvan.xyz/chalmers/eda333/eda333_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_4/</guid><pubDate>Tue, 28 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Electrical fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_5/</guid><pubDate>Mon, 27 Mar 2023 16:20:46 GMT</pubDate></item><item><title>Part 3 - Pipelining</title><link>https://rezvan.xyz/chalmers/eda333/eda333_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_3/</guid><pubDate>Mon, 27 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Capacitance and Inductance</title><link>https://rezvan.xyz/chalmers/eem076/eem076_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_4/</guid><pubDate>Sun, 26 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Equivalent circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_3/</guid><pubDate>Fri, 24 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - MIPS</title><link>https://rezvan.xyz/chalmers/eda333/eda333_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_2/</guid><pubDate>Wed, 22 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/eda333/eda333/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333/</guid><pubDate>Tue, 21 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Power &amp; Energy</title><link>https://rezvan.xyz/chalmers/eem076/eem076_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_2/</guid><pubDate>Tue, 21 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/eem076/eem076/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076/</guid><pubDate>Mon, 20 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Testing</title><link>https://rezvan.xyz/chalmers/eda322/eda322_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_9/</guid><pubDate>Sun, 05 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Interfaces and Memory</title><link>https://rezvan.xyz/chalmers/eda322/eda322_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_8/</guid><pubDate>Sun, 19 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - Parallel linked lists</title><link>https://rezvan.xyz/chalmers/tda384/tda384_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_10/</guid><pubDate>Sun, 19 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Parallelizing computations</title><link>https://rezvan.xyz/chalmers/tda384/tda384_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_9/</guid><pubDate>Mon, 13 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Timing, delay &amp; power</title><link>https://rezvan.xyz/chalmers/eda322/eda322_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_7/</guid><pubDate>Wed, 08 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Synchronization problems (2)</title><link>https://rezvan.xyz/chalmers/tda384/tda384_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_8/</guid><pubDate>Tue, 07 Feb 2023 13:05:43 GMT</pubDate></item><item><title>Part 6 - Reconfigurable Hardware</title><link>https://rezvan.xyz/chalmers/eda322/eda322_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_6/</guid><pubDate>Sun, 05 Feb 2023 14:28:10 GMT</pubDate></item><item><title>Part 6 &amp; 7 - Message-Passing Concurrency</title><link>https://rezvan.xyz/chalmers/tda384/tda384_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_6/</guid><pubDate>Sat, 04 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Monitors</title><link>https://rezvan.xyz/chalmers/tda384/tda384_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_5/</guid><pubDate>Fri, 03 Feb 2023 17:16:30 GMT</pubDate></item><item><title>Part 5 - Arithmetic Units</title><link>https://rezvan.xyz/chalmers/eda322/eda322_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_5/</guid><pubDate>Fri, 03 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Synchronization problems (1)</title><link>https://rezvan.xyz/chalmers/tda384/tda384_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_4/</guid><pubDate>Wed, 01 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Finite State Machines</title><link>https://rezvan.xyz/chalmers/eda322/eda322_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_4/</guid><pubDate>Tue, 31 Jan 2023 20:12:55 GMT</pubDate></item><item><title>Part 3 - Models of concurrency</title><link>https://rezvan.xyz/chalmers/tda384/tda384_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_3/</guid><pubDate>Tue, 31 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Sequential Circuits</title><link>https://rezvan.xyz/chalmers/eda322/eda322_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_3/</guid><pubDate>Tue, 24 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Races, Locks, and Semaphores</title><link>https://rezvan.xyz/chalmers/tda384/tda384_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_2/</guid><pubDate>Thu, 19 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Binary Adders</title><link>https://rezvan.xyz/chalmers/eda322/eda322_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_2/</guid><pubDate>Wed, 18 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction &amp; Boolean Algebra</title><link>https://rezvan.xyz/chalmers/eda322/eda322/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322/</guid><pubDate>Mon, 16 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/tda384/tda384/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384/</guid><pubDate>Mon, 16 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Programming Principles</title><link>https://rezvan.xyz/posts/programming_principles/</link><guid isPermaLink="true">https://rezvan.xyz/posts/programming_principles/</guid><pubDate>Mon, 09 Jan 2023 16:03:59 GMT</pubDate></item><item><title>Part 10 - Complexity (2)</title><link>https://rezvan.xyz/chalmers/dat038/dat038_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_10/</guid><pubDate>Fri, 09 Dec 2022 17:49:03 GMT</pubDate></item><item><title>Part 9 - Shortest Path &amp; Spanning Trees</title><link>https://rezvan.xyz/chalmers/dat038/dat038_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_9/</guid><pubDate>Wed, 07 Dec 2022 17:34:09 GMT</pubDate></item><item><title>Part 2 - Light waves</title><link>https://rezvan.xyz/chalmers/tif085/tif085_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_5/</guid><pubDate>Wed, 07 Dec 2022 16:55:57 GMT</pubDate></item><item><title>Part 8 - Graphs</title><link>https://rezvan.xyz/chalmers/dat038/dat038_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_8/</guid><pubDate>Tue, 06 Dec 2022 12:08:43 GMT</pubDate></item><item><title>Part 7 - Binary Heaps</title><link>https://rezvan.xyz/chalmers/dat038/dat038_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_7/</guid><pubDate>Sun, 04 Dec 2022 17:18:49 GMT</pubDate></item><item><title>Part 1 - Mechanical Waves</title><link>https://rezvan.xyz/chalmers/tif085/tif085_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_4/</guid><pubDate>Sun, 04 Dec 2022 16:23:27 GMT</pubDate></item><item><title>Part 6 - Trees</title><link>https://rezvan.xyz/chalmers/dat038/dat038_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_6/</guid><pubDate>Wed, 30 Nov 2022 17:08:48 GMT</pubDate></item><item><title>Part 5 - Hash Tables</title><link>https://rezvan.xyz/chalmers/dat038/dat038_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_5/</guid><pubDate>Tue, 29 Nov 2022 17:50:23 GMT</pubDate></item><item><title>Part 4 - Abstract Data Types</title><link>https://rezvan.xyz/chalmers/dat038/dat038_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_4/</guid><pubDate>Mon, 28 Nov 2022 19:30:47 GMT</pubDate></item><item><title>Lecture 3</title><link>https://rezvan.xyz/chalmers/tif085/tif085_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_3/</guid><pubDate>Mon, 28 Nov 2022 17:14:58 GMT</pubDate></item><item><title>Part 3 - Dynamic Arrays</title><link>https://rezvan.xyz/chalmers/dat038/dat038_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_3/</guid><pubDate>Sun, 27 Nov 2022 16:26:09 GMT</pubDate></item><item><title>Lecture 2</title><link>https://rezvan.xyz/chalmers/tif085/tif085_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_2/</guid><pubDate>Fri, 25 Nov 2022 23:04:21 GMT</pubDate></item><item><title>Part 2 - Complexity (1)</title><link>https://rezvan.xyz/chalmers/dat038/dat038_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_2/</guid><pubDate>Fri, 25 Nov 2022 16:20:46 GMT</pubDate></item><item><title>Part 1 - Sorting</title><link>https://rezvan.xyz/chalmers/dat038/dat038/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038/</guid><pubDate>Thu, 24 Nov 2022 18:57:27 GMT</pubDate></item><item><title>Lecture 1</title><link>https://rezvan.xyz/chalmers/tif085/tif085/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085/</guid><pubDate>Thu, 24 Nov 2022 16:57:38 GMT</pubDate></item><item><title>Julia projects</title><link>https://rezvan.xyz/posts/julia/</link><guid isPermaLink="true">https://rezvan.xyz/posts/julia/</guid><pubDate>Tue, 23 Aug 2022 19:00:47 GMT</pubDate></item><item><title>Vim-like editor</title><link>https://rezvan.xyz/posts/editor/</link><guid isPermaLink="true">https://rezvan.xyz/posts/editor/</guid><pubDate>Wed, 10 Aug 2022 19:04:50 GMT</pubDate></item><item><title>My personal bucket list</title><link>https://rezvan.xyz/posts/bucketlist/</link><guid isPermaLink="true">https://rezvan.xyz/posts/bucketlist/</guid><pubDate>Sun, 31 Jul 2022 15:21:34 GMT</pubDate></item><item><title>Initial post</title><link>https://rezvan.xyz/posts/initialpost/</link><guid isPermaLink="true">https://rezvan.xyz/posts/initialpost/</guid><pubDate>Fri, 29 Jul 2022 15:18:30 GMT</pubDate></item></channel></rss>
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+<?xml version="1.0" encoding="UTF-8"?><rss version="2.0"><channel><title>rezvan.xyz</title><description/><link>https://rezvan.xyz/</link><item><title>Part 7 - Thermal Actuators and Piezoresistivity</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_7/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_7/</guid><pubDate>Fri, 01 Nov 2024 00:00:00 GMT</pubDate></item><item><title>Part 8 - Principal Component Analysis</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_8/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_8/</guid><pubDate>Wed, 30 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 8 - Data Governance for BDA – Data Policies &amp; Processes</title><link>https://rezvan.xyz/cityu/is2021/is2021_8/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_8/</guid><pubDate>Tue, 29 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 5 - Stability</title><link>https://rezvan.xyz/cityu/bme3105/bme3105_5/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/bme3105/bme3105_5/</guid><pubDate>Fri, 25 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 7 - The Expectation Maximization Algorithm &amp; Linear Dimensionality Reduction</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_7/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_7/</guid><pubDate>Wed, 23 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 6 - Elasticity</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_6/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_6/</guid><pubDate>Fri, 18 Oct 2024 23:15:00 GMT</pubDate></item><item><title>Part 5 - Fabrication Techniques</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_5/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_5/</guid><pubDate>Fri, 18 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 6 - Robust, Non-Linear Regression and Clustering</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_6/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_6/</guid><pubDate>Wed, 16 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 7 - Developing a Strategy for Integrating Big Data Analytics into the Enterprise</title><link>https://rezvan.xyz/cityu/is2021/is2021_7/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_7/</guid><pubDate>Tue, 15 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 5 - Regression</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_5/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_5/</guid><pubDate>Wed, 09 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Never put your life on hold</title><link>https://rezvan.xyz/posts/pause/</link><guid isPermaLink="true">https://rezvan.xyz/posts/pause/</guid><pubDate>Fri, 04 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 4 - Time Respone</title><link>https://rezvan.xyz/cityu/bme3105/bme3105_4/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/bme3105/bme3105_4/</guid><pubDate>Fri, 04 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 4 - Etching</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_4/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_4/</guid><pubDate>Fri, 04 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 4 - Duality and SVM</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_4/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_4/</guid><pubDate>Wed, 02 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 6 - Achieving Organizational Alignment for Big Data Analytics</title><link>https://rezvan.xyz/cityu/is2021/is2021_6/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_6/</guid><pubDate>Tue, 01 Oct 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - Modelling in Frequency Domain</title><link>https://rezvan.xyz/cityu/bme3105/bme3105_3/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/bme3105/bme3105_3/</guid><pubDate>Fri, 27 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - Thin Film Growth and Deposition</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_3/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_3/</guid><pubDate>Fri, 27 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - Optimization and Convexity</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_3/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_3/</guid><pubDate>Wed, 25 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 5 - Developing Big Data Applications</title><link>https://rezvan.xyz/cityu/is2021/is2021_5/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_5/</guid><pubDate>Tue, 24 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 4 - Big Data Tools and Techniques</title><link>https://rezvan.xyz/cityu/is2021/is2021_4/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_4/</guid><pubDate>Sat, 21 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - Photolithography</title><link>https://rezvan.xyz/cityu/mne3115/mne3115_2/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115_2/</guid><pubDate>Fri, 20 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - Confidence Interval and Hypothesis Testing</title><link>https://rezvan.xyz/cityu/ma3518/ma3518_3/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/ma3518/ma3518_3/</guid><pubDate>Thu, 19 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - High-Performance Applications</title><link>https://rezvan.xyz/cityu/is2021/is2021_3/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_3/</guid><pubDate>Tue, 17 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - System Modelling</title><link>https://rezvan.xyz/cityu/bme3105/bme3105_2/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/bme3105/bme3105_2/</guid><pubDate>Fri, 13 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - Basic Statistical Concepts and Tools</title><link>https://rezvan.xyz/cityu/ma3518/ma3518_2/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/ma3518/ma3518_2/</guid><pubDate>Thu, 12 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - Generative VS. Discriminative Models</title><link>https://rezvan.xyz/cityu/cs4487/cs4487_2/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487_2/</guid><pubDate>Wed, 11 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - Business Drivers for Big Data Analytics &amp; its related Business Problems</title><link>https://rezvan.xyz/cityu/is2021/is2021_2/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021_2/</guid><pubDate>Tue, 10 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/cityu/bme3105/bme3105/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/bme3105/bme3105/</guid><pubDate>Fri, 06 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/cityu/mne3115/mne3115/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/mne3115/mne3115/</guid><pubDate>Fri, 06 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction to R</title><link>https://rezvan.xyz/cityu/ma3518/ma3518/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/ma3518/ma3518/</guid><pubDate>Thu, 05 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/cityu/cs4487/cs4487/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/cs4487/cs4487/</guid><pubDate>Wed, 04 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Evolution of Data Management</title><link>https://rezvan.xyz/cityu/is2021/is2021/</link><guid isPermaLink="true">https://rezvan.xyz/cityu/is2021/is2021/</guid><pubDate>Tue, 03 Sep 2024 00:00:00 GMT</pubDate></item><item><title>Links</title><link>https://rezvan.xyz/posts/links/</link><guid isPermaLink="true">https://rezvan.xyz/posts/links/</guid><pubDate>Wed, 17 Jul 2024 00:00:00 GMT</pubDate></item><item><title>My BSc Thesis, ClaudesLens</title><link>https://rezvan.xyz/posts/claudeslens/</link><guid isPermaLink="true">https://rezvan.xyz/posts/claudeslens/</guid><pubDate>Tue, 18 Jun 2024 19:03:25 GMT</pubDate></item><item><title>Part 9 - Machine Learning</title><link>https://rezvan.xyz/chalmers/dat565/dat565_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_9/</guid><pubDate>Tue, 20 Feb 2024 00:00:00 GMT</pubDate></item><item><title>Part 8 - Distance and network methods</title><link>https://rezvan.xyz/chalmers/dat565/dat565_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_8/</guid><pubDate>Tue, 13 Feb 2024 00:00:00 GMT</pubDate></item><item><title>Part 7 - Linear and logistic regression</title><link>https://rezvan.xyz/chalmers/dat565/dat565_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_7/</guid><pubDate>Tue, 06 Feb 2024 00:00:00 GMT</pubDate></item><item><title>Part 6 - Mathematical models</title><link>https://rezvan.xyz/chalmers/dat565/dat565_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_6/</guid><pubDate>Fri, 02 Feb 2024 00:00:00 GMT</pubDate></item><item><title>Part 5 - Statistical analysis</title><link>https://rezvan.xyz/chalmers/dat565/dat565_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_5/</guid><pubDate>Sat, 27 Jan 2024 00:00:00 GMT</pubDate></item><item><title>Part 4 - Data visualization</title><link>https://rezvan.xyz/chalmers/dat565/dat565_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_4/</guid><pubDate>Fri, 26 Jan 2024 00:00:00 GMT</pubDate></item><item><title>Part 3 - Data munging</title><link>https://rezvan.xyz/chalmers/dat565/dat565_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_3/</guid><pubDate>Tue, 23 Jan 2024 00:00:00 GMT</pubDate></item><item><title>Part 2 - Python tools for data science</title><link>https://rezvan.xyz/chalmers/dat565/dat565_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565_2/</guid><pubDate>Fri, 19 Jan 2024 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/dat565/dat565/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat565/dat565/</guid><pubDate>Tue, 16 Jan 2024 00:00:00 GMT</pubDate></item><item><title>Part 15 - Summary</title><link>https://rezvan.xyz/chalmers/ere103/ere103_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_summary/</guid><pubDate>Sat, 30 Dec 2023 00:00:00 GMT</pubDate></item><item><title>Part 14 - Filters</title><link>https://rezvan.xyz/chalmers/ere103/ere103_14/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_14/</guid><pubDate>Thu, 07 Dec 2023 00:00:00 GMT</pubDate></item><item><title>Part 13 - Discretization</title><link>https://rezvan.xyz/chalmers/ere103/ere103_13/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_13/</guid><pubDate>Wed, 06 Dec 2023 00:00:00 GMT</pubDate></item><item><title>Part 12 - State feedback</title><link>https://rezvan.xyz/chalmers/ere103/ere103_12/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_12/</guid><pubDate>Tue, 05 Dec 2023 00:00:00 GMT</pubDate></item><item><title>Part 11 - Design of controllers (2)</title><link>https://rezvan.xyz/chalmers/ere103/ere103_11/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_11/</guid><pubDate>Tue, 28 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - Design of controllers</title><link>https://rezvan.xyz/chalmers/ere103/ere103_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_10/</guid><pubDate>Mon, 27 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - General controller structure</title><link>https://rezvan.xyz/chalmers/ere103/ere103_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_9/</guid><pubDate>Thu, 23 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Stability</title><link>https://rezvan.xyz/chalmers/ere103/ere103_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_8/</guid><pubDate>Thu, 16 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Bode plot</title><link>https://rezvan.xyz/chalmers/ere103/ere103_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_7/</guid><pubDate>Mon, 13 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 6 - Space-state representation (2)</title><link>https://rezvan.xyz/chalmers/ere103/ere103_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_6/</guid><pubDate>Thu, 09 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Space-state representation (1)</title><link>https://rezvan.xyz/chalmers/ere103/ere103_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_5/</guid><pubDate>Tue, 07 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Models for mechanical systems</title><link>https://rezvan.xyz/chalmers/ere103/ere103_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_4/</guid><pubDate>Mon, 06 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Controllers in the Laplace domain</title><link>https://rezvan.xyz/chalmers/ere103/ere103_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_3/</guid><pubDate>Sun, 05 Nov 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Transfer functions</title><link>https://rezvan.xyz/chalmers/ere103/ere103_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103_2/</guid><pubDate>Tue, 31 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/ere103/ere103/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ere103/ere103/</guid><pubDate>Mon, 30 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 21 - Summary</title><link>https://rezvan.xyz/chalmers/lma017/lma017_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_summary/</guid><pubDate>Thu, 19 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 20 - Divergence and Stokes&apos; Theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_20/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_20/</guid><pubDate>Wed, 18 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - Summary</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_summary/</guid><pubDate>Sun, 15 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 19 - Surface integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_19/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_19/</guid><pubDate>Wed, 11 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 18 - Green&apos;s Theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_18/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_18/</guid><pubDate>Tue, 10 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 17 - Gradient theorem</title><link>https://rezvan.xyz/chalmers/lma017/lma017_17/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_17/</guid><pubDate>Wed, 04 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 16 - Vector fields</title><link>https://rezvan.xyz/chalmers/lma017/lma017_16/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_16/</guid><pubDate>Tue, 03 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 15 - Line integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_15/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_15/</guid><pubDate>Sun, 01 Oct 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Laplace transform</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_9/</guid><pubDate>Thu, 28 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 14 - Curves</title><link>https://rezvan.xyz/chalmers/lma017/lma017_14/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_14/</guid><pubDate>Wed, 27 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 13 - The Jacobian</title><link>https://rezvan.xyz/chalmers/lma017/lma017_13/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_13/</guid><pubDate>Tue, 26 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Signal reconstruction</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_8/</guid><pubDate>Mon, 25 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 12 - Change of variables</title><link>https://rezvan.xyz/chalmers/lma017/lma017_12/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_12/</guid><pubDate>Fri, 22 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Nyquist-Shannon sampling theorem</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_7/</guid><pubDate>Thu, 21 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 11 - General regions (2)</title><link>https://rezvan.xyz/chalmers/lma017/lma017_11/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_11/</guid><pubDate>Wed, 20 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 6 - Fourier Transform</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_6/</guid><pubDate>Wed, 20 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - General regions (1)</title><link>https://rezvan.xyz/chalmers/lma017/lma017_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_10/</guid><pubDate>Tue, 19 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Double and triple integrals</title><link>https://rezvan.xyz/chalmers/lma017/lma017_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_9/</guid><pubDate>Fri, 15 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Fourier series</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_5/</guid><pubDate>Fri, 15 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Differential equation models</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_4/</guid><pubDate>Thu, 14 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Lagrange multipliers</title><link>https://rezvan.xyz/chalmers/lma017/lma017_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_8/</guid><pubDate>Wed, 13 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Absolute max and min values</title><link>https://rezvan.xyz/chalmers/lma017/lma017_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_7/</guid><pubDate>Tue, 12 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 6 - Maximum and minimum values</title><link>https://rezvan.xyz/chalmers/lma017/lma017_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_6/</guid><pubDate>Fri, 08 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Directional derivatives</title><link>https://rezvan.xyz/chalmers/lma017/lma017_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_5/</guid><pubDate>Wed, 06 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Convolution</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_3/</guid><pubDate>Tue, 05 Sep 2023 19:03:17 GMT</pubDate></item><item><title>Part 4 - Chain rule</title><link>https://rezvan.xyz/chalmers/lma017/lma017_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_4/</guid><pubDate>Tue, 05 Sep 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - System properties &amp; LTI</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081_2/</guid><pubDate>Mon, 04 Sep 2023 20:03:17 GMT</pubDate></item><item><title>Part 3 - Higher partial derivatives</title><link>https://rezvan.xyz/chalmers/lma017/lma017_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_3/</guid><pubDate>Fri, 01 Sep 2023 08:53:01 GMT</pubDate></item><item><title>Part 2 - Continuity &amp; partial derivatives.</title><link>https://rezvan.xyz/chalmers/lma017/lma017_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017_2/</guid><pubDate>Wed, 30 Aug 2023 08:53:01 GMT</pubDate></item><item><title>Part 1 - Signals</title><link>https://rezvan.xyz/chalmers/ssy081/ssy081/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/ssy081/ssy081/</guid><pubDate>Tue, 29 Aug 2023 14:12:51 GMT</pubDate></item><item><title>Part 1 - Functions of several variables</title><link>https://rezvan.xyz/chalmers/lma017/lma017/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/lma017/lma017/</guid><pubDate>Tue, 29 Aug 2023 08:53:01 GMT</pubDate></item><item><title>Part 9 - Summary</title><link>https://rezvan.xyz/chalmers/eda333/eda333_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_summary/</guid><pubDate>Thu, 25 May 2023 09:22:18 GMT</pubDate></item><item><title>Part 14 - Summary</title><link>https://rezvan.xyz/chalmers/eem076/eem076_summary/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_summary/</guid><pubDate>Fri, 19 May 2023 14:57:46 GMT</pubDate></item><item><title>Part 13 - Op-Amps and Filters</title><link>https://rezvan.xyz/chalmers/eem076/eem076_13/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_13/</guid><pubDate>Fri, 19 May 2023 09:34:16 GMT</pubDate></item><item><title>Part 12 - Power in AC Circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_12/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_12/</guid><pubDate>Fri, 12 May 2023 08:06:12 GMT</pubDate></item><item><title>Part 11 - Calculation methods for AC-circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_11/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_11/</guid><pubDate>Mon, 08 May 2023 14:36:54 GMT</pubDate></item><item><title>Part 10 - Steady-state sinusoidal analysis</title><link>https://rezvan.xyz/chalmers/eem076/eem076_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_10/</guid><pubDate>Tue, 02 May 2023 13:33:02 GMT</pubDate></item><item><title>Part 8 - Parallel Processors</title><link>https://rezvan.xyz/chalmers/eda333/eda333_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_8/</guid><pubDate>Fri, 28 Apr 2023 16:12:01 GMT</pubDate></item><item><title>Part 9 - Electromagnetic Waves</title><link>https://rezvan.xyz/chalmers/eem076/eem076_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_9/</guid><pubDate>Tue, 25 Apr 2023 17:40:29 GMT</pubDate></item><item><title>Part 7 - Floating-point arithmetic</title><link>https://rezvan.xyz/chalmers/eda333/eda333_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_7/</guid><pubDate>Tue, 25 Apr 2023 13:18:21 GMT</pubDate></item><item><title>Part 8 - Magnetic fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_8/</guid><pubDate>Mon, 24 Apr 2023 15:33:32 GMT</pubDate></item><item><title>Part 6 - Virtual Memory</title><link>https://rezvan.xyz/chalmers/eda333/eda333_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_6/</guid><pubDate>Fri, 21 Apr 2023 17:28:25 GMT</pubDate></item><item><title>Part 7 - Electrical &amp; Magnetic fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_7/</guid><pubDate>Tue, 18 Apr 2023 14:54:06 GMT</pubDate></item><item><title>Part 6 - Work, Voltage and Capacitance</title><link>https://rezvan.xyz/chalmers/eem076/eem076_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_6/</guid><pubDate>Tue, 18 Apr 2023 10:05:29 GMT</pubDate></item><item><title>Part 5 - Cache memory</title><link>https://rezvan.xyz/chalmers/eda333/eda333_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_5/</guid><pubDate>Thu, 13 Apr 2023 18:04:58 GMT</pubDate></item><item><title>Part 4 - Pipeline hardware</title><link>https://rezvan.xyz/chalmers/eda333/eda333_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_4/</guid><pubDate>Tue, 28 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Electrical fields</title><link>https://rezvan.xyz/chalmers/eem076/eem076_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_5/</guid><pubDate>Mon, 27 Mar 2023 16:20:46 GMT</pubDate></item><item><title>Part 3 - Pipelining</title><link>https://rezvan.xyz/chalmers/eda333/eda333_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_3/</guid><pubDate>Mon, 27 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Capacitance and Inductance</title><link>https://rezvan.xyz/chalmers/eem076/eem076_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_4/</guid><pubDate>Sun, 26 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Equivalent circuits</title><link>https://rezvan.xyz/chalmers/eem076/eem076_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_3/</guid><pubDate>Fri, 24 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - MIPS</title><link>https://rezvan.xyz/chalmers/eda333/eda333_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333_2/</guid><pubDate>Wed, 22 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/eda333/eda333/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda333/eda333/</guid><pubDate>Tue, 21 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Power &amp; Energy</title><link>https://rezvan.xyz/chalmers/eem076/eem076_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076_2/</guid><pubDate>Tue, 21 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/eem076/eem076/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eem076/eem076/</guid><pubDate>Mon, 20 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Testing</title><link>https://rezvan.xyz/chalmers/eda322/eda322_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_9/</guid><pubDate>Sun, 05 Mar 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Interfaces and Memory</title><link>https://rezvan.xyz/chalmers/eda322/eda322_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_8/</guid><pubDate>Sun, 19 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 10 - Parallel linked lists</title><link>https://rezvan.xyz/chalmers/tda384/tda384_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_10/</guid><pubDate>Sun, 19 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 9 - Parallelizing computations</title><link>https://rezvan.xyz/chalmers/tda384/tda384_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_9/</guid><pubDate>Mon, 13 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 7 - Timing, delay &amp; power</title><link>https://rezvan.xyz/chalmers/eda322/eda322_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_7/</guid><pubDate>Wed, 08 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 8 - Synchronization problems (2)</title><link>https://rezvan.xyz/chalmers/tda384/tda384_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_8/</guid><pubDate>Tue, 07 Feb 2023 13:05:43 GMT</pubDate></item><item><title>Part 6 - Reconfigurable Hardware</title><link>https://rezvan.xyz/chalmers/eda322/eda322_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_6/</guid><pubDate>Sun, 05 Feb 2023 14:28:10 GMT</pubDate></item><item><title>Part 6 &amp; 7 - Message-Passing Concurrency</title><link>https://rezvan.xyz/chalmers/tda384/tda384_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_6/</guid><pubDate>Sat, 04 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 5 - Monitors</title><link>https://rezvan.xyz/chalmers/tda384/tda384_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_5/</guid><pubDate>Fri, 03 Feb 2023 17:16:30 GMT</pubDate></item><item><title>Part 5 - Arithmetic Units</title><link>https://rezvan.xyz/chalmers/eda322/eda322_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_5/</guid><pubDate>Fri, 03 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Synchronization problems (1)</title><link>https://rezvan.xyz/chalmers/tda384/tda384_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_4/</guid><pubDate>Wed, 01 Feb 2023 00:00:00 GMT</pubDate></item><item><title>Part 4 - Finite State Machines</title><link>https://rezvan.xyz/chalmers/eda322/eda322_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_4/</guid><pubDate>Tue, 31 Jan 2023 20:12:55 GMT</pubDate></item><item><title>Part 3 - Models of concurrency</title><link>https://rezvan.xyz/chalmers/tda384/tda384_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_3/</guid><pubDate>Tue, 31 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 3 - Sequential Circuits</title><link>https://rezvan.xyz/chalmers/eda322/eda322_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_3/</guid><pubDate>Tue, 24 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Races, Locks, and Semaphores</title><link>https://rezvan.xyz/chalmers/tda384/tda384_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384_2/</guid><pubDate>Thu, 19 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 2 - Binary Adders</title><link>https://rezvan.xyz/chalmers/eda322/eda322_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322_2/</guid><pubDate>Wed, 18 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction &amp; Boolean Algebra</title><link>https://rezvan.xyz/chalmers/eda322/eda322/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/eda322/eda322/</guid><pubDate>Mon, 16 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Part 1 - Introduction</title><link>https://rezvan.xyz/chalmers/tda384/tda384/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tda384/tda384/</guid><pubDate>Mon, 16 Jan 2023 00:00:00 GMT</pubDate></item><item><title>Programming Principles</title><link>https://rezvan.xyz/posts/programming_principles/</link><guid isPermaLink="true">https://rezvan.xyz/posts/programming_principles/</guid><pubDate>Mon, 09 Jan 2023 16:03:59 GMT</pubDate></item><item><title>Part 10 - Complexity (2)</title><link>https://rezvan.xyz/chalmers/dat038/dat038_10/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_10/</guid><pubDate>Fri, 09 Dec 2022 17:49:03 GMT</pubDate></item><item><title>Part 9 - Shortest Path &amp; Spanning Trees</title><link>https://rezvan.xyz/chalmers/dat038/dat038_9/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_9/</guid><pubDate>Wed, 07 Dec 2022 17:34:09 GMT</pubDate></item><item><title>Part 2 - Light waves</title><link>https://rezvan.xyz/chalmers/tif085/tif085_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_5/</guid><pubDate>Wed, 07 Dec 2022 16:55:57 GMT</pubDate></item><item><title>Part 8 - Graphs</title><link>https://rezvan.xyz/chalmers/dat038/dat038_8/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_8/</guid><pubDate>Tue, 06 Dec 2022 12:08:43 GMT</pubDate></item><item><title>Part 7 - Binary Heaps</title><link>https://rezvan.xyz/chalmers/dat038/dat038_7/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_7/</guid><pubDate>Sun, 04 Dec 2022 17:18:49 GMT</pubDate></item><item><title>Part 1 - Mechanical Waves</title><link>https://rezvan.xyz/chalmers/tif085/tif085_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_4/</guid><pubDate>Sun, 04 Dec 2022 16:23:27 GMT</pubDate></item><item><title>Part 6 - Trees</title><link>https://rezvan.xyz/chalmers/dat038/dat038_6/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_6/</guid><pubDate>Wed, 30 Nov 2022 17:08:48 GMT</pubDate></item><item><title>Part 5 - Hash Tables</title><link>https://rezvan.xyz/chalmers/dat038/dat038_5/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_5/</guid><pubDate>Tue, 29 Nov 2022 17:50:23 GMT</pubDate></item><item><title>Part 4 - Abstract Data Types</title><link>https://rezvan.xyz/chalmers/dat038/dat038_4/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_4/</guid><pubDate>Mon, 28 Nov 2022 19:30:47 GMT</pubDate></item><item><title>Lecture 3</title><link>https://rezvan.xyz/chalmers/tif085/tif085_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_3/</guid><pubDate>Mon, 28 Nov 2022 17:14:58 GMT</pubDate></item><item><title>Part 3 - Dynamic Arrays</title><link>https://rezvan.xyz/chalmers/dat038/dat038_3/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_3/</guid><pubDate>Sun, 27 Nov 2022 16:26:09 GMT</pubDate></item><item><title>Lecture 2</title><link>https://rezvan.xyz/chalmers/tif085/tif085_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085_2/</guid><pubDate>Fri, 25 Nov 2022 23:04:21 GMT</pubDate></item><item><title>Part 2 - Complexity (1)</title><link>https://rezvan.xyz/chalmers/dat038/dat038_2/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038_2/</guid><pubDate>Fri, 25 Nov 2022 16:20:46 GMT</pubDate></item><item><title>Part 1 - Sorting</title><link>https://rezvan.xyz/chalmers/dat038/dat038/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/dat038/dat038/</guid><pubDate>Thu, 24 Nov 2022 18:57:27 GMT</pubDate></item><item><title>Lecture 1</title><link>https://rezvan.xyz/chalmers/tif085/tif085/</link><guid isPermaLink="true">https://rezvan.xyz/chalmers/tif085/tif085/</guid><pubDate>Thu, 24 Nov 2022 16:57:38 GMT</pubDate></item><item><title>Julia projects</title><link>https://rezvan.xyz/posts/julia/</link><guid isPermaLink="true">https://rezvan.xyz/posts/julia/</guid><pubDate>Tue, 23 Aug 2022 19:00:47 GMT</pubDate></item><item><title>Vim-like editor</title><link>https://rezvan.xyz/posts/editor/</link><guid isPermaLink="true">https://rezvan.xyz/posts/editor/</guid><pubDate>Wed, 10 Aug 2022 19:04:50 GMT</pubDate></item><item><title>My personal bucket list</title><link>https://rezvan.xyz/posts/bucketlist/</link><guid isPermaLink="true">https://rezvan.xyz/posts/bucketlist/</guid><pubDate>Sun, 31 Jul 2022 15:21:34 GMT</pubDate></item><item><title>Initial post</title><link>https://rezvan.xyz/posts/initialpost/</link><guid isPermaLink="true">https://rezvan.xyz/posts/initialpost/</guid><pubDate>Fri, 29 Jul 2022 15:18:30 GMT</pubDate></item></channel></rss>
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