Site updated: 2024-02-04 22:17:31

2023/03/10/uClibc-tips/index.html

@@ -38,10 +38,10 @@
 <meta property="article:published_time" content="2023-03-11T07:38:37.000Z">
 <meta property="article:modified_time" content="2023-09-16T00:19:30.846Z">
 <meta property="article:author" content="Zixi">
-<meta property="article:tag" content="Cryptography">
 <meta property="article:tag" content="C&#x2F;C++ Programming">
 <meta property="article:tag" content="System Programming">
 <meta property="article:tag" content="Computer Communications">
+<meta property="article:tag" content="Cryptography">
 <meta property="article:tag" content="TCP&#x2F;IP">
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 <meta name="twitter:image" content="https://www.packetmania.net/en/2023/03/10/uClibc-tips/crypt-glibc-features.png">
@@ -409,10 +409,10 @@ <h3 id="dns-security-patch">DNS Security Patch</h3>
 </div>
 
           <div class="post-tags">
-              <a href="/en/tags/Cryptography/" rel="tag"><i class="fa fa-tag"></i> Cryptography</a>
               <a href="/en/tags/C-C-Programming/" rel="tag"><i class="fa fa-tag"></i> C/C++ Programming</a>
               <a href="/en/tags/System-Programming/" rel="tag"><i class="fa fa-tag"></i> System Programming</a>
               <a href="/en/tags/Computer-Communications/" rel="tag"><i class="fa fa-tag"></i> Computer Communications</a>
+              <a href="/en/tags/Cryptography/" rel="tag"><i class="fa fa-tag"></i> Cryptography</a>
               <a href="/en/tags/TCP-IP/" rel="tag"><i class="fa fa-tag"></i> TCP/IP</a>
           </div>
 

2023/08/21/TLS1-3-intro/index.html

@@ -38,9 +38,9 @@
 <meta property="article:published_time" content="2023-08-22T02:50:26.000Z">
 <meta property="article:modified_time" content="2023-09-18T06:55:45.738Z">
 <meta property="article:author" content="Zixi">
+<meta property="article:tag" content="C&#x2F;C++ Programming">
 <meta property="article:tag" content="Cryptography">
 <meta property="article:tag" content="Network Security">
-<meta property="article:tag" content="C&#x2F;C++ Programming">
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 <meta name="twitter:image" content="https://www.packetmania.net/en/2023/08/21/TLS1-3-intro/TLS1_2vs1_3-handshake.jpg">
 
@@ -550,9 +550,9 @@ <h3 id="lighttpd-web-server">Lighttpd Web Server</h3>
 </div>
 
           <div class="post-tags">
+              <a href="/en/tags/C-C-Programming/" rel="tag"><i class="fa fa-tag"></i> C/C++ Programming</a>
               <a href="/en/tags/Cryptography/" rel="tag"><i class="fa fa-tag"></i> Cryptography</a>
               <a href="/en/tags/Network-Security/" rel="tag"><i class="fa fa-tag"></i> Network Security</a>
-              <a href="/en/tags/C-C-Programming/" rel="tag"><i class="fa fa-tag"></i> C/C++ Programming</a>
           </div>
 
 

2024/01/28/Purdue-MA265-2023-Fall-Midterm1/index.html

@@ -57,7 +57,7 @@
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 <meta property="article:published_time" content="2024-01-29T04:18:14.000Z">
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 <meta property="article:author" content="Zixi">
 <meta property="article:tag" content="Linear Algebra">
 <meta property="article:tag" content="Machine Learning">
@@ -300,7 +300,7 @@ <h1 class="post-title" itemprop="name headline">
           <i class="far fa-calendar-check"></i>
         </span>
         <span class="post-meta-item-text">Edited on</span>
-        <time title="Modified: 2024-02-04 20:05:06" itemprop="dateModified" datetime="2024-02-04T20:05:06-08:00">2024-02-04</time>
+        <time title="Modified: 2024-02-04 22:14:58" itemprop="dateModified" datetime="2024-02-04T22:14:58-08:00">2024-02-04</time>
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@@ -373,7 +373,7 @@ <h3 id="problem-1-10-points">Problem 1 (10 points)</h3>
 \]</span> Further, compute matrix multiplication at the left side <span class="math display">\[
 \begin{bmatrix}c &amp;d\\a+5c &amp;b+5d\\\end{bmatrix}=
 \begin{bmatrix}1 &amp; 1\\3 &amp; 2\\\end{bmatrix}
-\]</span> From here we can directly get <span class="math inline">\(c=d=1\)</span>, then <span class="math inline">\(a=-2\)</span> and <span class="math inline">\(b=-3\)</span>, so <span class="math inline">\(a+b+c+d=-3\)</span>.</p>
+\]</span> From here we can directly get <span class="math inline">\(c=d=1\)</span>, then <span class="math inline">\(a=-2\)</span> and <span class="math inline">\(b=-3\)</span>. This leads to <span class="math inline">\(a+b+c+d=-3\)</span>.</p>
 <p>The answer is <mark><strong>A</strong></mark>.</p>
 
 </details>
@@ -402,7 +402,7 @@ <h3 id="problem-3-10-points">Problem 3 (10 points)</h3>
  \begin{bmatrix}1 &amp;a &amp;a+1\\0 &amp;-a+2 &amp;-a-3\\0 &amp;0 &amp;-4a-2\\\end{bmatrix}
 \end{align}\]</span></p>
 <p>If <span class="math inline">\(a=2\)</span>, the 2nd column is a multiple of the 1st column, so the columns of <span class="math inline">\(A\)</span> are not linearly independent, then the transformation would not be one-to-one (Check Theorem 12 of Section 1.9 The Matrix of a Linear Transformation).</p>
-<p>Moreover, if <span class="math inline">\(a=-\frac{1}{2}\)</span>, the last row becomes all zeros. In such case, matrix <span class="math inline">\(A\)</span> has only two pivots and <span class="math inline">\(A\pmb x=\pmb 0\)</span> has non-trivial solutions, <span class="math inline">\(L\)</span> is not one-to-one (See Theorem 11 of Section 1.9 The Matrix of a Linear Transformation).</p>
+<p>Moreover, if <span class="math inline">\(a=-\frac{1}{2}\)</span>, the entries of the last row are all 0s. In such case, matrix <span class="math inline">\(A\)</span> has only two pivots and <span class="math inline">\(A\pmb x=\pmb 0\)</span> has non-trivial solutions, <span class="math inline">\(L\)</span> is not one-to-one (See Theorem 11 of Section 1.9 The Matrix of a Linear Transformation).</p>
 <p>So the answer is <mark><strong>C</strong></mark>.</p>
 
 </details>
@@ -585,6 +585,7 @@ <h2 id="exam-summary">Exam Summary</h2>
 </table>
 <p>As can be seen, it has a good coverage of the topics of the specified sections from the textbook. Students should carefully review those to prepare for this and similar exams.</p>
 <h2 id="common-errors-and-warnings">Common Errors and Warnings</h2>
+<p>Here are a few <em>warnings</em> collected from the textbook. It is highly recommended that students preparing for the MA 265 Midterm I exam review these carefully to identify common errors and know how to prevent them in the test.</p>
 <h3 id="the-matrix-equation">The Matrix Equation</h3>
 <p><img src="LAnIA-6th-Chap1_4-Theorem4.png" style="width:90.0%;height:90.0%" /></p>
 <p><img src="LAnIA-6th-Chap1_4-Theorem4-Warning.png" style="width:90.0%;height:90.0%" /></p>

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-    <updated>2024-02-05T04:05:06.028Z</updated>
+    <updated>2024-02-05T06:14:58.495Z</updated>
 
 
     <summary type="html">&lt;p&gt;This is the 3rd study notes post for the college linear algebra course. Here is the review of Purdue MA 26500 Fall 2023 midterm I. I provide solutions to all exam questions as well as concise explanations.</summary>
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index.html

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           <i class="far fa-calendar-check"></i>
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         <span class="post-meta-item-text">Edited on</span>
-        <time title="Modified: 2024-02-04 20:05:06" itemprop="dateModified" datetime="2024-02-04T20:05:06-08:00">2024-02-04</time>
+        <time title="Modified: 2024-02-04 22:14:58" itemprop="dateModified" datetime="2024-02-04T22:14:58-08:00">2024-02-04</time>
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