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 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-5-2-1-perpendicular-bisector-of-a-line-segment-%e4%be%8b%e9%a2%98-5-2-1%ef%bc%9a%e7%ba%bf%e6%ae%b5%e7%9a%84%e5%9e%82%e7%9b%b4%e5%b9%b3%e5%88%86%e7%ba%bf/</loc>
  <lastmod>2026-08-21T14:19:33Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 5.2.1: Perpendicular Bisector of a Line Segment &amp;#124; 例题 5.2.1：线段的垂直平分线</news:title>
   <news:publication_date>2026-08-21T14:19:33Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/eulers-identity-the-most-beautiful-equation-in-mathematics-%e6%ac%a7%e6%8b%89%e6%81%92%e7%ad%89%e5%bc%8f%ef%bc%9a%e6%95%b0%e5%ad%a6%e4%b8%ad%e6%9c%80%e4%bc%98%e7%be%8e%e7%9a%84%e6%96%b9%e7%a8%8b/</loc>
  <lastmod>2026-08-21T14:19:08Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Euler&amp;#039;s Identity: The Most Beautiful Equation in Mathematics &amp;#124; 欧拉恒等式：数学中最优美的方程</news:title>
   <news:publication_date>2026-08-21T14:19:08Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/introduction-to-complex-numbers-%e5%a4%8d%e6%95%b0%e5%85%a5%e9%97%a8-2/</loc>
  <lastmod>2026-08-21T14:18:56Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Introduction to Complex Numbers &amp;#124; 复数入门</news:title>
   <news:publication_date>2026-08-21T14:18:56Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-5-2-3-product-rule-for-y-x%c2%b2-sin-x-%e7%a4%ba%e4%be%8b-5-2-3%ef%bc%9a%e5%af%b9-y-x%c2%b2-sin-x-%e4%bd%bf%e7%94%a8%e4%b9%98%e7%a7%af%e6%b3%95%e5%88%99/</loc>
  <lastmod>2026-08-21T14:32:28Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 5.2.3: Product Rule for y = x² sin x &amp;#124; 示例 5.2.3：对 y = x² sin x 使用乘积法则</news:title>
   <news:publication_date>2026-08-21T14:18:44Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-5-2-2-connected-rates-of-change-%e7%a4%ba%e4%be%8b5-2-2%ef%bc%9a%e7%9b%b8%e5%85%b3%e5%8f%98%e5%8c%96%e7%8e%87/</loc>
  <lastmod>2026-08-21T14:18:26Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 5.2.2: Connected Rates of Change &amp;#124; 示例5.2.2：相关变化率</news:title>
   <news:publication_date>2026-08-21T14:18:26Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/numerical-methods-for-first-order-differential-equations-%e4%b8%80%e9%98%b6%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e6%95%b0%e5%80%bc%e8%a7%a3%e6%b3%95/</loc>
  <lastmod>2026-08-21T14:17:08Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Numerical Methods for First Order Differential Equations &amp;#124; 一阶微分方程数值解法</news:title>
   <news:publication_date>2026-08-21T14:17:08Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/working-with-complex-numbers-in-aqa-a-level-mathematics-aqa-a-level-%e6%95%b0%e5%ad%a6%e4%b8%ad%e7%9a%84%e5%a4%8d%e6%95%b0%e8%bf%90%e7%ae%97/</loc>
  <lastmod>2026-08-21T14:16:57Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Working with Complex Numbers in AQA A-Level Mathematics &amp;#124; AQA A-Level 数学中的复数运算</news:title>
   <news:publication_date>2026-08-21T14:16:57Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/second-order-differential-equations-%e4%ba%8c%e9%98%b6%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b-4/</loc>
  <lastmod>2026-08-21T14:16:22Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Second Order Differential Equations &amp;#124; 二阶微分方程</news:title>
   <news:publication_date>2026-08-21T14:16:22Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/representation-of-curves-in-polar-form-%e6%9e%81%e5%9d%90%e6%a0%87%e5%bd%a2%e5%bc%8f%e4%b8%8b%e6%9b%b2%e7%ba%bf%e7%9a%84%e8%a1%a8%e7%a4%ba-2/</loc>
  <lastmod>2026-08-21T14:14:58Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Representation of Curves in Polar Form &amp;#124; 极坐标形式下曲线的表示</news:title>
   <news:publication_date>2026-08-21T14:14:58Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/integrating-factors-for-first-order-differential-equations-%e4%b8%80%e9%98%b6%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e7%9a%84%e7%a7%af%e5%88%86%e5%9b%a0%e5%ad%90%e6%b3%95/</loc>
  <lastmod>2026-08-21T14:14:47Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Integrating Factors for First Order Differential Equations &amp;#124; 一阶微分方程的积分因子法</news:title>
   <news:publication_date>2026-08-21T14:14:47Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/complementary-functions-and-particular-integrals-%e8%a1%a5%e5%87%bd%e6%95%b0%e4%b8%8e%e7%89%b9%e7%a7%af%e5%88%86/</loc>
  <lastmod>2026-08-21T14:14:36Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Complementary Functions and Particular Integrals &amp;#124; 补函数与特积分</news:title>
   <news:publication_date>2026-08-21T14:14:36Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/introduction-to-differential-equations-%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e5%af%bc%e8%ae%ba/</loc>
  <lastmod>2026-08-21T14:14:20Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Introduction to Differential Equations &amp;#124; 微分方程导论</news:title>
   <news:publication_date>2026-08-21T14:14:20Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-3-4-2-differentiation-from-first-principles-and-tangent-equation-%e4%be%8b%e9%a2%98-3-4-2%ef%bc%9a%e7%ac%ac%e4%b8%80%e6%80%a7%e5%8e%9f%e7%90%86%e6%b1%82%e5%af%bc%e4%b8%8e%e5%88%87%e7%ba%bf/</loc>
  <lastmod>2026-08-21T14:14:08Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 3.4.2: Differentiation from First Principles and Tangent Equation &amp;#124; 例题 3.4.2：第一性原理求导与切线方程</news:title>
   <news:publication_date>2026-08-21T14:14:08Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-2-6-2-solving-a-quadratic-equation-using-the-quadratic-formula-%e4%be%8b-2-6-2%ef%bc%9a%e4%bd%bf%e7%94%a8%e6%b1%82%e6%a0%b9%e5%85%ac%e5%bc%8f%e8%a7%a3%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b/</loc>
  <lastmod>2026-08-21T14:13:56Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 2.6.2 Solving a Quadratic Equation Using the Quadratic Formula &amp;#124; 例 2.6.2：使用求根公式解二次方程</news:title>
   <news:publication_date>2026-08-21T14:13:56Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/the-area-bounded-by-a-polar-curve-%e6%9e%81%e5%9d%90%e6%a0%87%e6%9b%b2%e7%ba%bf%e5%9b%b4%e6%88%90%e7%9a%84%e9%9d%a2%e7%a7%af-2/</loc>
  <lastmod>2026-08-21T14:13:43Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>The Area Bounded by a Polar Curve &amp;#124; 极坐标曲线围成的面积</news:title>
   <news:publication_date>2026-08-21T14:13:43Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/worked-example-2-5-2-tangents-and-normals-to-a-curve-%e4%be%8b%e9%a2%98-2-5-2%ef%bc%9a%e6%9b%b2%e7%ba%bf%e7%9a%84%e5%88%87%e7%ba%bf%e4%b8%8e%e6%b3%95%e7%ba%bf/</loc>
  <lastmod>2026-08-21T14:12:51Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Worked Example 2.5.2: Tangents and Normals to a Curve &amp;#124; 例题 2.5.2：曲线的切线与法线</news:title>
   <news:publication_date>2026-08-21T14:12:51Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/speed-vs-velocity-cie-physics/</loc>
  <lastmod>2026-08-21T14:31:49Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Speed vs Velocity Explained — A-Level 物理：速率与速度的区别</news:title>
   <news:publication_date>2026-08-21T14:12:34Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/families-of-solutions-general-solutions-and-particular-solutions-%e8%a7%a3%e6%97%8f%e3%80%81%e9%80%9a%e8%a7%a3%e4%b8%8e%e7%89%b9%e8%a7%a3/</loc>
  <lastmod>2026-08-21T14:12:10Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Families of Solutions, General Solutions and Particular Solutions &amp;#124; 解族、通解与特解</news:title>
   <news:publication_date>2026-08-21T14:12:10Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/the-concept-of-a-differential-equation-order-and-linearity-%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b%e7%9a%84%e6%a6%82%e5%bf%b5%ef%bc%9a%e9%98%b6%e4%b8%8e%e7%ba%bf%e6%80%a7-2/</loc>
  <lastmod>2026-08-21T14:11:57Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>The Concept of a Differential Equation: Order and Linearity &amp;#124; 微分方程的概念：阶与线性</news:title>
   <news:publication_date>2026-08-21T14:11:57Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/the-relationship-between-cartesian-and-polar-coordinates-%e7%ac%9b%e5%8d%a1%e5%b0%94%e5%9d%90%e6%a0%87%e4%b8%8e%e6%9e%81%e5%9d%90%e6%a0%87%e7%9a%84%e5%85%b3%e7%b3%bb/</loc>
  <lastmod>2026-08-21T14:10:20Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>The Relationship Between Cartesian and Polar Coordinates &amp;#124; 笛卡尔坐标与极坐标的关系</news:title>
   <news:publication_date>2026-08-21T14:10:20Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/restrictions-on-the-values-of-a-function-%e5%87%bd%e6%95%b0%e5%80%bc%e7%9a%84%e9%99%90%e5%88%b6/</loc>
  <lastmod>2026-08-21T14:10:09Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Restrictions on the Values of a Function &amp;#124; 函数值的限制</news:title>
   <news:publication_date>2026-08-21T14:10:09Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/second-order-linear-differential-equations-with-variable-coefficients-%e4%ba%8c%e9%98%b6%e7%ba%bf%e6%80%a7%e5%8f%98%e7%b3%bb%e6%95%b0%e5%be%ae%e5%88%86%e6%96%b9%e7%a8%8b/</loc>
  <lastmod>2026-08-21T14:09:58Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Second Order Linear Differential Equations with Variable Coefficients &amp;#124; 二阶线性变系数微分方程</news:title>
   <news:publication_date>2026-08-21T14:09:58Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-2-1-1-solving-quadratic-equations-by-completing-the-square-%e4%be%8b-2-1-1%ef%bc%9a%e7%94%a8%e9%85%8d%e6%96%b9%e6%b3%95%e8%a7%a3%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b/</loc>
  <lastmod>2026-08-21T14:09:47Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Example 2.1.1: Solving Quadratic Equations by Completing the Square &amp;#124; 例 2.1.1：用配方法解二次方程</news:title>
   <news:publication_date>2026-08-21T14:09:47Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/two-important-limits-%e4%b8%a4%e4%b8%aa%e9%87%8d%e8%a6%81%e6%9e%81%e9%99%90/</loc>
  <lastmod>2026-08-21T14:09:36Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Two Important Limits &amp;#124; 两个重要极限</news:title>
   <news:publication_date>2026-08-21T14:09:36Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/polar-coordinates-%e6%9e%81%e5%9d%90%e6%a0%87-3/</loc>
  <lastmod>2026-08-21T14:09:25Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Polar Coordinates &amp;#124; 极坐标</news:title>
   <news:publication_date>2026-08-21T14:09:25Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/cartesian-and-polar-frames-of-reference-%e7%ac%9b%e5%8d%a1%e5%b0%94%e4%b8%8e%e6%9e%81%e5%9d%90%e6%a0%87%e5%8f%82%e8%80%83%e6%a1%86%e6%9e%b6/</loc>
  <lastmod>2026-08-21T14:32:17Z</lastmod>
  <news:news>
   <news:publication>
    <news:name>aleveler.com</news:name>
    <news:language>en</news:language>
   </news:publication>
   <news:title>Cartesian and Polar Frames of Reference &amp;#124; 笛卡尔与极坐标参考框架</news:title>
   <news:publication_date>2026-08-21T14:09:14Z</news:publication_date>
   <news:genres>Blog</news:genres>
  </news:news>
 </url>
 <url>
  <loc>https://aleveler.com/2026/08/21/example-1-8-2-proof-by-contradiction-irrationality-of-%e2%88%9a2-%e4%be%8b%e9%a2%98-1-8-2%ef%bc%9a%e5%8f%8d%e8%af%81%e6%b3%95%e8%af%81%e6%98%8e%e6%a0%b9%e5%8f%b72%e6%98%af%e6%97%a0/</loc>
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