update 2024年04月27日 13:17:54

ccrysisa · Apr 27, 2024 · 5e87eb2 · 5e87eb2
1 parent eb33663
commit 5e87eb2
Show file tree

Hide file tree

Showing 283 changed files with 5,484 additions and 6,001 deletions.
diff --git a/content/posts/English.md b/content/posts/English.md
@@ -75,6 +75,8 @@ This post is used to record the process of my English learning.
 - https://github.com/IammyselfBOOKS/New_concept_English
 - https://github.com/protogenesis/NewConceptEnglish
 
+> 仓库中关于新概念英语的网址，录音是正确的，但是有一些正文不太准确，可以下载书籍进行对比
+
 ## New Concept English
 
 ### NCE 1
@@ -115,6 +117,11 @@ This post is used to record the process of my English learning.
 - [x] 069: The car race
 - [x] 071: He's awful
 - [x] 073: The way to King Street
+- [x] 075: Uncomfortable shoes
+- [x] 077: Terrible toothache
+- [x] 079: Peggy's shopping list
+- [x] 081: Roast beef and potato
+- [x] 083: Going on a holiday
 
 ---
 
@@ -193,3 +200,18 @@ greengrocer
 
 phrase
 - *n.*
+
+jam
+- *n.*
+
+grocer
+- *n.*
+
+bear
+- *n.*
+
+wine
+- *n.*
+
+cinema
+- *n.*
diff --git a/content/posts/math/math.md b/content/posts/math/math.md
@@ -120,4 +120,12 @@ $$
 
 第 13 页 (反转了的) 辗转相除法的阅读顺序是：先阅读左边，在阅读右边，右边的推导是将上面的式子代入到下面的式子得来。
 
+## 群、群作用與 Burnside 引理
+
+第 16 页的 $Perm(X)$ 表示 $X$ 的元素进行置换对应的所有映射构成的集合，这个集合的基数为 $8!$。表示这个集合的某个元素 (也就是置换对应的映射)，可以用投影片上的形如 $(1\ 4\ 2)(3\ 7)(5)(6)$ 来表示，比较直观的体现这个映射的效果。
+
+第 18 页子群定义的结合律一般不需要特别考虑，因为子群的任意元素属于群，而群的元素都满足结合律，所以子群的任意元素都满足结合律。
+
+第 18 页的证明提示「消去律」，是指在证明子群性质时利用群的 **可逆** 和 **单位元** 性质进行证明。因为依据定义，群的单位元可作用的范围比子群的单位元作用范围广。
+
 ## 綫性代數
diff --git a/docs/404.html b/docs/404.html
@@ -25,7 +25,7 @@
   <body data-header-desktop="sticky" data-header-mobile="auto"><script>(window.localStorage?.getItem('theme') ? localStorage.getItem('theme') === 'dark' : ('auto' === 'auto' ? window.matchMedia('(prefers-color-scheme: dark)').matches : 'auto' === 'dark')) && document.body.setAttribute('data-theme', 'dark');</script><div class="wrapper" data-page-style="normal"><header class="desktop animate__faster" id="header-desktop">
   <div class="header-wrapper">
     <div class="header-title">
-      <a href="/" title="KZnight&#39;s Blog"><img loading="lazy" src="/fixit.min.svg" data-title="KZnight&#39;s Blog" data-alt="KZnight&#39;s Blog" class="logo" style="background: url(/svg/loading.min.svg) no-repeat center;" onload="this.title=this.dataset.title;this.alt=this.dataset.alt;for(const i of ['style', 'data-title','data-alt','onerror','onload']){this.removeAttribute(i);}this.dataset.lazyloaded='';" onerror="this.title=this.dataset.title;this.alt=this.dataset.alt;for(const i of ['style', 'data-title','data-alt','onerror','onload']){this.removeAttribute(i);}"/><span class="header-title-text">KZnight&#39;s Blog</span></a><span class="header-subtitle"></span></div>
+      <a href="/" title="KZnight&#39;s Blog"><img loading="lazy" src="/fixit.min.svg" alt="KZnight&#39;s Blog" data-title="KZnight&#39;s Blog" class="logo" style="background: url(/images/loading.min.svg) no-repeat center;" onload="this.title=this.dataset.title;for(const i of ['style', 'data-title','onerror','onload']){this.removeAttribute(i);}this.dataset.lazyloaded='';" onerror="this.title=this.dataset.title;for(const i of ['style', 'data-title','onerror','onload']){this.removeAttribute(i);}"/><span class="header-title-text">KZnight&#39;s Blog</span></a><span class="header-subtitle"></span></div>
     <nav>
       <ul class="menu"><li class="menu-item">
               <a
@@ -65,7 +65,7 @@
   <div class="header-container">
     <div class="header-wrapper">
       <div class="header-title">
-        <a href="/" title="KZnight&#39;s Blog"><img loading="lazy" src="/fixit.min.svg" data-title="/fixit.min.svg" data-alt="/fixit.min.svg" class="logo" style="background: url(/svg/loading.min.svg) no-repeat center;" onload="this.title=this.dataset.title;this.alt=this.dataset.alt;for(const i of ['style', 'data-title','data-alt','onerror','onload']){this.removeAttribute(i);}this.dataset.lazyloaded='';" onerror="this.title=this.dataset.title;this.alt=this.dataset.alt;for(const i of ['style', 'data-title','data-alt','onerror','onload']){this.removeAttribute(i);}"/><span class="header-title-text">KZnight&#39;s Blog</span></a><span class="header-subtitle"></span></div>
+        <a href="/" title="KZnight&#39;s Blog"><img loading="lazy" src="/fixit.min.svg" alt="/fixit.min.svg" data-title="/fixit.min.svg" class="logo" style="background: url(/images/loading.min.svg) no-repeat center;" onload="this.title=this.dataset.title;for(const i of ['style', 'data-title','onerror','onload']){this.removeAttribute(i);}this.dataset.lazyloaded='';" onerror="this.title=this.dataset.title;for(const i of ['style', 'data-title','onerror','onload']){this.removeAttribute(i);}"/><span class="header-title-text">KZnight&#39;s Blog</span></a><span class="header-subtitle"></span></div>
       <div class="menu-toggle" id="menu-toggle-mobile">
         <span></span><span></span><span></span>
       </div>
@@ -130,16 +130,16 @@ <h1 id="error-emoji"></h1>
       document.getElementById('error-emoji').appendChild(document.createTextNode(emojiArray[Math.floor(Math.random() * emojiArray.length)]));
     })();
   </script></main><footer class="footer">
-    <div class="footer-container"><div class="footer-line powered">由 <a href="https://gohugo.io/" target="_blank" rel="external nofollow noopener noreferrer" title="Hugo 0.121.1">Hugo</a> 强力驱动 | 主题 - <a href="https://github.com/hugo-fixit/FixIt" target="_blank" rel="external" title="FixIt v0.2.18-lts.5"><img class="fixit-icon" src="/fixit.min.svg" alt="FixIt logo" />&nbsp;FixIt</a>
+    <div class="footer-container"><div class="footer-line powered">由 <a href="https://gohugo.io/" target="_blank" rel="external nofollow noopener noreferrer" title="Hugo 0.121.1"><img class="hugo-icon" src="/images/hugo.min.svg" alt="Hugo logo" /> Hugo</a> 强力驱动 | 主题 - <a href="https://github.com/hugo-fixit/FixIt" target="_blank" rel="external" title="FixIt v0.3.2-RC"><img class="fixit-icon" src="/images/fixit.min.svg" alt="FixIt logo" /> FixIt</a>
         </div><div class="footer-line copyright" itemscope itemtype="http://schema.org/CreativeWork"><i class="fa-regular fa-copyright fa-fw" aria-hidden="true"></i>
             <span itemprop="copyrightYear">2021 - 2024</span><span class="author" itemprop="copyrightHolder">
-              <a href="https://github.com/ccrysisa"target="_blank" rel="external nofollow noopener noreferrer">ccrysisa</a></span><span class="license footer-divider"><a rel="license external nofollow noopener noreferrer" href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a></span></div><div class="footer-line statistics"></div><div class="footer-line visitor">
+              <a href="https://github.com/ccrysisa"target="_blank" rel="external nofollow noopener noreferrer">ccrysisa</a></span><span class="license footer-divider"><a rel="license external nofollow noopener noreferrer" href="https://creativecommons.org/licenses/by-nc-sa/4.0/" target="_blank">CC BY-NC-SA 4.0</a></span></div><div class="footer-line visitor">
           <span id="busuanzi_container_site_uv" title='总访客数'><i class="fa-regular fa-user fa-fw" aria-hidden="true"></i>&nbsp;<span id="busuanzi_value_site_uv"><i class="fa-solid fa-spinner fa-spin fa-fw" aria-hidden="true"></i></span></span><span id="busuanzi_container_site_pv" class="footer-divider" title='总访问量'><i class="fa-regular fa-eye fa-fw" aria-hidden="true"></i>&nbsp;<span id="busuanzi_value_site_pv"><i class="fa-solid fa-spinner fa-spin fa-fw" aria-hidden="true"></i></span></span>
         </div></div>
   </footer></div><div class="widgets"><div class="fixed-buttons animate__faster d-none"><div class="fixed-button back-to-top" role="button" aria-label="回到顶部"><i class="fa-solid fa-arrow-up fa-fw" aria-hidden="true"></i><span class="variant-numeric d-none">0%</span>
         </div></div><div id="mask"></div><noscript>
     <div class="noscript-warning">FixIt 主题在启用 JavaScript 的情况下效果最佳。</div>
   </noscript>
 </div><link rel="preload" href="/lib/katex/katex.min.css" as="style" onload="this.removeAttribute('onload');this.rel='stylesheet'">
-    <noscript><link rel="stylesheet" href="/lib/katex/katex.min.css"></noscript><link rel="stylesheet" href="/lib/cookieconsent/cookieconsent.min.css"><script src="/lib/autocomplete/autocomplete.min.js" defer></script><script src="/lib/lunr/lunr.min.js" defer></script><script src="/lib/lunr/lunr.stemmer.support.min.js" defer></script><script src="/lib/lunr/lunr.zh.min.js" defer></script><script src="/lib/sharer/sharer.min.js" async defer></script><script src="/lib/katex/katex.min.js" defer></script><script src="/lib/katex/auto-render.min.js" defer></script><script src="/lib/katex/copy-tex.min.js" defer></script><script src="/lib/katex/mhchem.min.js" defer></script><script src="/lib/cookieconsent/cookieconsent.min.js" defer></script><script src="//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js" async defer></script><script>window.config={"code":{"copyTitle":"复制到剪贴板","editLockTitle":"锁定可编辑代码块","editUnLockTitle":"解锁可编辑代码块","editable":true,"maxShownLines":30},"cookieconsent":{"content":{"dismiss":"同意","link":"了解更多","message":"本网站使用 Cookies 来改善您的浏览体验。"},"enable":true,"palette":{"button":{"background":"#f0f0f0"},"popup":{"background":"#1aa3ff"}},"theme":"edgeless"},"enablePWA":true,"math":{"delimiters":[{"display":true,"left":"$$","right":"$$"},{"display":true,"left":"\\[","right":"\\]"},{"display":true,"left":"\\begin{equation}","right":"\\end{equation}"},{"display":true,"left":"\\begin{equation*}","right":"\\end{equation*}"},{"display":true,"left":"\\begin{align}","right":"\\end{align}"},{"display":true,"left":"\\begin{align*}","right":"\\end{align*}"},{"display":true,"left":"\\begin{alignat}","right":"\\end{alignat}"},{"display":true,"left":"\\begin{alignat*}","right":"\\end{alignat*}"},{"display":true,"left":"\\begin{gather}","right":"\\end{gather}"},{"display":true,"left":"\\begin{CD}","right":"\\end{CD}"},{"display":false,"left":"$","right":"$"},{"display":false,"left":"\\(","right":"\\)"}],"strict":false},"search":{"highlightTag":"em","lunrIndexURL":"/index.json","lunrLanguageCode":"zh","lunrSegmentitURL":"/lib/lunr/lunr.segmentit.js","maxResultLength":10,"noResultsFound":"没有找到结果","snippetLength":50,"type":"lunr"}};</script><script src="/js/theme.min.js" defer></script></body>
+    <noscript><link rel="stylesheet" href="/lib/katex/katex.min.css"></noscript><link rel="stylesheet" href="/lib/cookieconsent/cookieconsent.min.css"><script src="/lib/autocomplete/autocomplete.min.js" defer></script><script src="/lib/sharer/sharer.min.js" async defer></script><script src="/lib/katex/katex.min.js" defer></script><script src="/lib/katex/auto-render.min.js" defer></script><script src="/lib/katex/copy-tex.min.js" defer></script><script src="/lib/katex/mhchem.min.js" defer></script><script src="/lib/cookieconsent/cookieconsent.min.js" defer></script><script src="//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js" async defer></script><script>window.config={"code":{"copyTitle":"复制到剪贴板","editLockTitle":"锁定可编辑代码块","editUnLockTitle":"解锁可编辑代码块","editable":true,"maxShownLines":30},"cookieconsent":{"content":{"dismiss":"同意","link":"了解更多","message":"本网站使用 Cookies 来改善您的浏览体验。"},"enable":true,"palette":{"button":{"background":"#f0f0f0"},"popup":{"background":"#1aa3ff"}},"theme":"edgeless"},"enablePWA":true,"math":{"delimiters":[{"display":true,"left":"$$","right":"$$"},{"display":true,"left":"\\[","right":"\\]"},{"display":true,"left":"\\begin{equation}","right":"\\end{equation}"},{"display":true,"left":"\\begin{equation*}","right":"\\end{equation*}"},{"display":true,"left":"\\begin{align}","right":"\\end{align}"},{"display":true,"left":"\\begin{align*}","right":"\\end{align*}"},{"display":true,"left":"\\begin{alignat}","right":"\\end{alignat}"},{"display":true,"left":"\\begin{alignat*}","right":"\\end{alignat*}"},{"display":true,"left":"\\begin{gather}","right":"\\end{gather}"},{"display":true,"left":"\\begin{CD}","right":"\\end{CD}"},{"display":false,"left":"$","right":"$"},{"display":false,"left":"\\(","right":"\\)"}],"strict":false},"search":{"highlightTag":"em","maxResultLength":10,"noResultsFound":"没有找到结果","snippetLength":50}};</script><script src="/js/theme.min.js" defer></script></body>
 </html>
diff --git a/docs/baidu_urls.txt b/docs/baidu_urls.txt