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  <title>minicroi</title>
  
  <subtitle>hi look at me!</subtitle>
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  <link href="https://minicroi.github.io/"/>
  <updated>2025-06-23T14:56:06.122Z</updated>
  <id>https://minicroi.github.io/</id>
  
  <author>
    <name>minicroi</name>
    
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  <generator uri="https://hexo.io/">Hexo</generator>
  
  <entry>
    <title>文章中的单词积累</title>
    <link href="https://minicroi.github.io/2025/06/08/%E6%96%87%E7%AB%A0%E4%B8%AD%E7%9A%84%E5%8D%95%E8%AF%8D%E7%A7%AF%E7%B4%AF/"/>
    <id>https://minicroi.github.io/2025/06/08/%E6%96%87%E7%AB%A0%E4%B8%AD%E7%9A%84%E5%8D%95%E8%AF%8D%E7%A7%AF%E7%B4%AF/</id>
    <published>2025-06-07T16:00:00.000Z</published>
    <updated>2025-06-23T14:56:06.122Z</updated>
    
    <content type="html"><![CDATA[<ol><li>variant 变体，变种<ul><li>The virus has developed a new variant.</li></ul></li><li>follow 采用，遵循<ul><li>We follow the scientific method in our experiments.我们在实验中采用科学方法</li><li>A structured approach should be followed when writing code.编写代码时应遵循结构化的方法</li></ul></li><li>vertex(单数)&#x2F;vertices(复数) 顶点</li><li>digraph （short for directed graph）有向图</li><li>thereof 其中的（用来避免前面重复的名词）（书面词汇）<ul><li>The contract and the terms thereof are binding.合同及其条款具有约束力</li><li>He failed to provide proof thereof.他未能提供相关证据</li></ul></li><li>stepwise 逐步的</li><li><ul><li>complement&#x2F;complementary set 补集</li><li>implementation 实施&#x2F;执行</li></ul></li></ol>]]></content>
    
    
      
      
    <summary type="html">&lt;ol&gt;
&lt;li&gt;variant 变体，变种&lt;ul&gt;
&lt;li&gt;The virus has developed a new variant.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;follow 采用，遵循&lt;ul&gt;
&lt;li&gt;We follow the scientific met</summary>
      
    
    
    
    <category term="学习积累" scheme="https://minicroi.github.io/categories/%E5%AD%A6%E4%B9%A0%E7%A7%AF%E7%B4%AF/"/>
    
    
    <category term="英语" scheme="https://minicroi.github.io/tags/%E8%8B%B1%E8%AF%AD/"/>
    
  </entry>
  
  <entry>
    <title>数学标记及其英文读法</title>
    <link href="https://minicroi.github.io/2025/06/08/%E6%95%B0%E5%AD%A6%E6%A0%87%E8%AE%B0%E5%8F%8A%E5%85%B6%E8%8B%B1%E6%96%87%E8%AF%BB%E6%B3%95/"/>
    <id>https://minicroi.github.io/2025/06/08/%E6%95%B0%E5%AD%A6%E6%A0%87%E8%AE%B0%E5%8F%8A%E5%85%B6%E8%8B%B1%E6%96%87%E8%AF%BB%E6%B3%95/</id>
    <published>2025-06-07T16:00:00.000Z</published>
    <updated>2025-06-07T17:32:52.694Z</updated>
    
    <content type="html"><![CDATA[<table><thead><tr><th align="left">Symbol&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</th><th align="left">Pronunciation&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</th><th align="left">Example</th><th align="left">Example Reading&nbsp;&nbsp;&nbsp;&nbsp;</th></tr></thead><tbody><tr><td align="left">$\pi$</td><td align="left">pi</td><td align="left">$\pi \approx 3.14$</td><td align="left">pi approximately 3 point 14</td></tr><tr><td align="left">$\hat{x}$</td><td align="left">x hat</td><td align="left">$\hat{x} &#x3D; 5$</td><td align="left">x hat equals 5</td></tr><tr><td align="left">$x^2$</td><td align="left">x squared</td><td align="left">$x^2 + y^2 &#x3D; z^2$</td><td align="left">x squared plus y squared equals z squared</td></tr><tr><td align="left">$x_n$</td><td align="left">x sub n</td><td align="left">$x_n &#x3D; \frac{1}{n}$</td><td align="left">x sub n equals one over n</td></tr><tr><td align="left">$\sum$</td><td align="left">summation</td><td align="left">$\sum_{i&#x3D;1}^n i$</td><td align="left">summation from i equals 1 to n of i</td></tr><tr><td align="left">$\int$</td><td align="left">integral</td><td align="left">$\int_0^1 x,dx$</td><td align="left">integral from 0 to 1 of x dx</td></tr><tr><td align="left">$\infty$</td><td align="left">infinity</td><td align="left">$\lim_{x \to \infty} f(x)$</td><td align="left">limit as x approaches infinity of f of x</td></tr><tr><td align="left">$\lim$</td><td align="left">limit</td><td align="left">$\lim_{x \to 0} \frac{\sin x}{x}$</td><td align="left">limit as x approaches 0 of sin x over x</td></tr><tr><td align="left">$\forall$</td><td align="left">for all</td><td align="left">$\forall x \in \mathbb{R}$</td><td align="left">for all x in real numbers</td></tr><tr><td align="left">$\exists$</td><td align="left">there exists</td><td align="left">$\exists x &gt; 0$</td><td align="left">there exists x greater than zero</td></tr><tr><td align="left">$\equiv$</td><td align="left">is congruent to</td><td align="left">$a \equiv b \pmod{n}$</td><td align="left">a is congruent to b modulo n</td></tr><tr><td align="left">$\to$</td><td align="left">approaches &#x2F; tends to</td><td align="left">$x \to 0$</td><td align="left">x approaches zero</td></tr><tr><td align="left">$\approx$</td><td align="left">approximately equals</td><td align="left">$\pi \approx 3.14$</td><td align="left">pi approximately equals 3 point 14</td></tr><tr><td align="left">$\nabla$</td><td align="left">del &#x2F; gradient</td><td align="left">$\nabla f(x,y)$</td><td align="left">gradient of f at x y</td></tr><tr><td align="left">$\cdot$</td><td align="left">dot</td><td align="left">$a \cdot b$</td><td align="left">a dot b</td></tr><tr><td align="left">$\times$</td><td align="left">times &#x2F; cross</td><td align="left">$\vec{a} \times \vec{b}$</td><td align="left">vector a cross vector b</td></tr><tr><td align="left">$\Rightarrow$</td><td align="left">implies</td><td align="left">$P \Rightarrow Q$</td><td align="left">P implies Q</td></tr><tr><td align="left">$\leftarrow$</td><td align="left">left arrow</td><td align="left">$x \leftarrow y$</td><td align="left">x left arrow y</td></tr><tr><td align="left">$\neq$</td><td align="left">not equal</td><td align="left">$x \neq y$</td><td align="left">x not equal y</td></tr><tr><td align="left">$\leq$</td><td align="left">less than or equal to</td><td align="left">$x \leq y$</td><td align="left">x less than or equal to y</td></tr><tr><td align="left">$\geq$</td><td align="left">greater than or equal to</td><td align="left">$x \geq y$</td><td align="left">x greater than or equal to y</td></tr><tr><td align="left">$\subset$</td><td align="left">is subset of</td><td align="left">$A \subset B$</td><td align="left">A is subset of B</td></tr><tr><td align="left">$\supset$</td><td align="left">is superset of</td><td align="left">$B \supset A$</td><td align="left">B is superset of A</td></tr><tr><td align="left">$\cup$</td><td align="left">union</td><td align="left">$A \cup B$</td><td align="left">A union B</td></tr><tr><td align="left">$\cap$</td><td align="left">intersection</td><td align="left">$A \cap B$</td><td align="left">A intersection B</td></tr><tr><td align="left">$\mathbb{R}$</td><td align="left">real numbers</td><td align="left">$\mathbb{R}$</td><td align="left">real numbers</td></tr><tr><td align="left">$\mathbb{N}$</td><td align="left">natural numbers</td><td align="left">$\mathbb{N}$</td><td align="left">natural numbers</td></tr><tr><td align="left">$\partial$</td><td align="left">partial (derivative)</td><td align="left">$\frac{\partial f}{\partial x}$</td><td align="left">partial derivative of f with respect to x</td></tr></tbody></table>]]></content>
    
    
      
      
    <summary type="html">&lt;table&gt;
&lt;thead&gt;
&lt;tr&gt;
&lt;th align=&quot;left&quot;&gt;Symbol&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&lt;/th&gt;
&lt;th align=&quot;left&quot;&gt;Pronunciation&amp;nbsp;&amp;nbsp;</summary>
      
    
    
    
    <category term="学习积累" scheme="https://minicroi.github.io/categories/%E5%AD%A6%E4%B9%A0%E7%A7%AF%E7%B4%AF/"/>
    
    
    <category term="英语" scheme="https://minicroi.github.io/tags/%E8%8B%B1%E8%AF%AD/"/>
    
    <category term="数学" scheme="https://minicroi.github.io/tags/%E6%95%B0%E5%AD%A6/"/>
    
  </entry>
  
  <entry>
    <title>文章中的常见英文（短语，缩写..）</title>
    <link href="https://minicroi.github.io/2025/06/03/%E6%96%87%E7%AB%A0%E4%B8%AD%E7%9A%84%E5%B8%B8%E8%A7%81%E8%8B%B1%E6%96%87/"/>
    <id>https://minicroi.github.io/2025/06/03/%E6%96%87%E7%AB%A0%E4%B8%AD%E7%9A%84%E5%B8%B8%E8%A7%81%E8%8B%B1%E6%96%87/</id>
    <published>2025-06-02T16:00:00.000Z</published>
    <updated>2025-06-23T14:53:57.515Z</updated>
    
    <content type="html"><![CDATA[<h1 id="阅读英语文章时常见以下缩写："><a href="#阅读英语文章时常见以下缩写：" class="headerlink" title="阅读英语文章时常见以下缩写："></a>阅读英语文章时常见以下缩写：</h1><ol><li>e.g. 例如（for example）<ul><li>Many animals, e.g., lions and tigers, are carnivores.</li></ul></li><li>i.e. 也就是说&#x2F;即（that is to say）<ul><li>He is a polyglot, i.e., someone who speaks several languages.</li></ul></li><li>viz. 即&#x2F;具体来说（namely）<ul><li>Three cities, viz. London, Paris, and Rome, are on the list.</li></ul></li><li>cf. 参见&#x2F;比较（compare）<ul><li>Cf. Smith (2002) for a different approach.</li></ul></li><li>et al. 等等&#x2F;以及其他人（and others）<ul><li>The paper was written by Johnson et al.</li></ul></li><li>etc. 等等（and so on）<ul><li>We need paper, pens, etc.</li></ul></li><li>s.t. 通常是subject to的缩写,指：满足..的条件，在..情况下<ul><li>minimize f(x)  s.t. g(x)≤0</li></ul></li></ol><h1 id="阅读英语文章时常见以下短语："><a href="#阅读英语文章时常见以下短语：" class="headerlink" title="阅读英语文章时常见以下短语："></a>阅读英语文章时常见以下短语：</h1><ol><li>in line with 与…一致&#x2F;符合<ul><li>This decision is in line with company policy.</li><li>Her results were in line with our expectations.</li><li>His actions are not in line with his values.</li></ul></li><li>in the sequel 在后续中&#x2F;在续集中<ul><li>In the sequel,the hero comes back stronger.</li><li>I hope they explain her past in the sequel.</li><li>In the sequel, we often use graph-theoretical notations for MCs which refer to the underlying digraph of M. <ol><li><strong>symbol</strong>:单个的标记，用来代表某个特定的概念、对象或操作。它通常是一个字符或图形。</li><li><strong>notation</strong>:一整套用于表达思想、概念或公式的规则和方式，往往由多个symbols组成。是表达的体系。</li></ol><ul><li><strong>简单地来讲</strong>：symbol是单个字符，notation是使用字符的一套语言系统</li></ul></li></ul></li><li>in this sense 从这个角度看&#x2F;在这个意义下&#x2F;就此而言<ul><li>The system is stable. In this sense, it returns to equilibrium after small disturbances.这个系统是稳定的。就这个角度来说，它在受到小扰动后会恢复到平衡状态</li></ul></li><li>it follows that 由此可得&#x2F;因此&#x2F;可以得出<ul><li>All humans are mortal. Socrates is a human. It follows that Socrates is mortal.所有人都会死亡。苏格拉底是人。因此可推出苏格拉底会死亡</li></ul></li><li>consequence of 结果&#x2F;推论（学术场景）<ul><li>As a direct consequence of Theorem 10.25 作为定理10.25的直接结果</li></ul></li><li>amount to 等同于&#x2F;归结为<ul><li>In practice, solving this equation amounts to finding the roots of a polynomial.实际上，解这个方程就是在找一个多项式的根</li></ul></li><li>to that end 为此&#x2F;为了那个目的<ul><li>We want to improve customer satisfaction. To that end, we’ve hired more support staff.我们希望提升客户满意度。为此，我们增聘了更多客服人员</li></ul></li><li>Abstract from 从…抽象出&#x2F;撇开…（更好的理解是不考虑…而考虑其他更本质的东西）<ul><li>In formal methods, we abstract from hardware details to focus on software behavior.在形式化方法中，我们撇开硬件细节，专注于软件行为</li><li>To understand the core idea, we need to abstract from the technical implementation. 为了理解核心思想，我们需要抽离技术实现的细节</li></ul></li><li>have to do with 与…有关&#x2F;涉及…<ul><li>Does your question have to do with the meeting? 你的问题和会议有关吗</li><li>Her decision has little to do with money. 她的决定和钱关系不大</li></ul></li></ol><p>To be continue…</p>]]></content>
    
    
      
      
    <summary type="html">&lt;h1 id=&quot;阅读英语文章时常见以下缩写：&quot;&gt;&lt;a href=&quot;#阅读英语文章时常见以下缩写：&quot; class=&quot;headerlink&quot; title=&quot;阅读英语文章时常见以下缩写：&quot;&gt;&lt;/a&gt;阅读英语文章时常见以下缩写：&lt;/h1&gt;&lt;ol&gt;
&lt;li&gt;e.g. 例如（for exam</summary>
      
    
    
    
    <category term="学习积累" scheme="https://minicroi.github.io/categories/%E5%AD%A6%E4%B9%A0%E7%A7%AF%E7%B4%AF/"/>
    
    
    <category term="英语" scheme="https://minicroi.github.io/tags/%E8%8B%B1%E8%AF%AD/"/>
    
    <category term="零散" scheme="https://minicroi.github.io/tags/%E9%9B%B6%E6%95%A3/"/>
    
  </entry>
  
  <entry>
    <title>零散的英语学习笔记</title>
    <link href="https://minicroi.github.io/2025/06/01/%E8%AE%B0%E5%BD%95%E5%B9%B3%E6%97%B6%E9%81%87%E5%88%B0%E7%9A%84%E7%89%B9%E6%AE%8A%E7%9A%84%E7%9F%AD%E8%AF%AD%E6%90%AD%E9%85%8D%E5%92%8C%E5%8F%A5%E5%AD%90/"/>
    <id>https://minicroi.github.io/2025/06/01/%E8%AE%B0%E5%BD%95%E5%B9%B3%E6%97%B6%E9%81%87%E5%88%B0%E7%9A%84%E7%89%B9%E6%AE%8A%E7%9A%84%E7%9F%AD%E8%AF%AD%E6%90%AD%E9%85%8D%E5%92%8C%E5%8F%A5%E5%AD%90/</id>
    <published>2025-05-31T16:00:00.000Z</published>
    <updated>2025-06-08T08:34:22.934Z</updated>
    
    <content type="html"><![CDATA[<h1 id="记录平时遇到的特殊的短语搭配和句子…"><a href="#记录平时遇到的特殊的短语搭配和句子…" class="headerlink" title="记录平时遇到的特殊的短语搭配和句子…"></a>记录平时遇到的特殊的短语搭配和句子…</h1><ol><li>I think it was a mutual conversation.<em>我觉得那是一场彼此尊重&#x2F;双方参与的谈话</em></li><li>描述某种意义上努力的成果：<ul><li>It’s kind of the fruit of our labor.</li><li>It’s sort of a result of the hard work we put in.</li><li>It’s a kind of reward for all the work.</li></ul></li><li>I think I’m gonna try being more straight edge for a while.<em>我要尝试一段时间更自律一点</em><ul><li><strong>straight edge</strong>:引申为更克制，更健康的生活方式，不吸烟，不喝酒..</li></ul></li><li>I find it tricky to say no without hurting people’s feelings.<em>我觉得拒绝别人又不伤人感情挺难的</em><ul><li><strong>tricky</strong>:有点难，有点挑战，棘手的..</li></ul></li><li>a natural place for spontaneity <em>一个适合自然流露&#x2F;即兴发挥的地方</em><ul><li>The studio became a natural place for spontaneity and creative flow<em>工作室成了一个自然流露灵感与创意的地方</em></li><li>Our friendship has always been a natural place for spontaneity.<em>我们的友谊一直都很自在，比较随心所欲</em></li><li>That living room was a natural place for spontaneity-laughter,music and dancing just happend.<em>那个客厅就是个适合即兴发挥的地方-笑声，音乐，舞蹈都自然发生</em></li></ul></li><li>To put in a nutshell(or just “In a nutshell”)简单来说&#x2F;简而言之&#x2F;一句话总结<ul><li>To put in a nutshell,she didn’t show up,and we had to cancel everything.<em>一句话总结，她没来，我们只好取消一切</em></li><li>He explain quantum mechanics in a nutshell.<em>他用简单易懂的方式解释了量子力学</em></li></ul></li><li>Be present in the moment<ol><li>可以分开用<ul><li>Be present<em>专注&#x2F;到场&#x2F;用心参与</em>：Please be present during the meeting.</li><li>In the moment<em>在那一刻&#x2F;顺其自然&#x2F;不顾将来</em>：I wasn’t thinking,I just act in the moment.</li></ul></li><li>合起来用<ul><li>Be present in the moment<em>活在当下&#x2F;专注此刻</em>：Try to be present in the moment instead of thinking about past.</li></ul></li></ol></li><li>a bit of imposter syndrome <em>有点觉得自己不够格</em><ul><li>I got the job,but I still feel a bit of imposter syndrome sometimes.<em>我拿到了这份工作，但有时候还是会觉得自己好像不配</em></li><li>She’s incredibly talented,yet she struggles with imposter syndrome.<em>她非常有才华，但却一直受到“冒名顶替感”的困扰</em></li></ul></li><li><strong>ish</strong>后缀，意思是大约（口语化表达，文章中用得少）<ul><li>Let’s meet at 3-ish so we can grab a coffee before the movie.<em>我们大概三点见吧，这样可以在看电影前喝杯咖啡</em></li></ul></li><li><strong>down for that</strong>表赞同，愿意参加某个提议或活动（口语化表达）<ul><li>Well, if my friends invite me to go hiking or catch a movie, I’m usually down for that. I enjoy spending time outdoors or just relaxing with good company.</li></ul></li><li><strong>go all out for something&#x2F;someone</strong>拼尽全力去做…&#x2F;不遗余力支持…<ul><li>They went all out for the championship. 他们为了冠军拼尽了全力</li><li>She went all out for her best friend’s wedding. 她为了好朋友的婚礼倾尽了所有的心力</li><li>The company is going all out for the product launch. 公司正全力以赴准备产品发布</li></ul></li><li><strong>in a minute</strong><ol><li>立刻，马上，很快的意思<ul><li>Can you wait? I’ll finish this in a minute.</li></ul></li><li>用在否定句中表幽默夸张的反话<ul><li>I haven’t seen you in a minute! 好久不见了（意思是很久没见）</li></ul></li></ol></li><li><strong>push one’s limit</strong> 挑战某人的极限<ul><li>This job really pushes my limits, but I’m learning a lot.这份工作确实挑战了我的极限，但我学到了很多</li><li>She always pushes her limits to achieve more. 她总是突破极限，力求更进一步</li></ul></li></ol><p>..to be continue..</p>]]></content>
    
    
      
      
    <summary type="html">&lt;h1 id=&quot;记录平时遇到的特殊的短语搭配和句子…&quot;&gt;&lt;a href=&quot;#记录平时遇到的特殊的短语搭配和句子…&quot; class=&quot;headerlink&quot; title=&quot;记录平时遇到的特殊的短语搭配和句子…&quot;&gt;&lt;/a&gt;记录平时遇到的特殊的短语搭配和句子…&lt;/h1&gt;&lt;ol&gt;
&lt;li&gt;</summary>
      
    
    
    
    <category term="学习积累" scheme="https://minicroi.github.io/categories/%E5%AD%A6%E4%B9%A0%E7%A7%AF%E7%B4%AF/"/>
    
    
    <category term="英语" scheme="https://minicroi.github.io/tags/%E8%8B%B1%E8%AF%AD/"/>
    
    <category term="零散" scheme="https://minicroi.github.io/tags/%E9%9B%B6%E6%95%A3/"/>
    
  </entry>
  
</feed>
