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🪶微语&随笔(共113篇)

找到 113 篇与 🪶微语&随笔相关的结果 - 第 5 页

2021-06-09
奇函数积分是偶函数吗?偶函数积分是奇函数吗? 摘要奇函数积分得偶函数，偶函数积分不一定是奇函数，需满足特定条件。奇函数性质包括相加、相减、相乘、相除等运算规则。关键词：奇函数积分, 偶函数积分, 奇函数, 偶函数, 积分性质图片奇函数积分是偶函数，但偶函数积分不一定是奇函数。因为偶函数积分F(x)+C，只有满足F(0)+C=0时，才是奇函数。奇函数是指对于一个定义域关于原点对称的函数f（x）的定义域内任意一个x，都有f（-x）= - f（x），那么函数f（x）就叫做奇函数。奇函数的性质两个奇函数相加所得的和或相减所得的差为奇函数。一个偶函数与一个奇函数相加所得的和或相减所得的差为非奇非偶函数。两个奇函数相乘所得的积或相除所得的商为偶函数。一个偶函数与一个奇函数相乘所得的积或相除所得的商为奇函数。当且仅当 f（x）=0（定义域关于原点对称）时， f（x）既是奇函数又是偶函数。奇函数在对称区间上的积分为零。

我的随笔

刘航宇 5年前
0 3,404 1
2021-06-06
【美句】" 请你摘星" 摘要摘星美句强调人生真谛，如诚实面对自己、努力克服困难、珍惜日常、坚持梦想，并鼓励在逆境中不断前进，低调努力，期待美好未来。关键词：请你摘星, 人生决定, 才华野心, 学习成长, 熬过困难图片 " 决定人生的那一刻，绝不能欺骗自己。" " 每一个闪闪发光的人都在背后熬过了一个又一个不为人知的黑夜。" " 当你的才华还撑不起你的野心时，那你就应该静下心来学习。" " 糟糕的日子熬过去了，剩下的就是好运气。" " 我不想平庸一生，不想成为那种大街上一抓一大把的人。" " 心怀浪漫宇宙，也珍惜人间日常。" " 有时，正确的道路往往不是轻松好走的。" " 我走的很慢，但我从不后退。" " 即使徒劳，也要让这徒劳发生。" 图片 " 隐藏野心，悄悄发光。" " 偷偷厉害，万事尽可期待。"

励志美文

刘航宇 5年前
2 364 5
2021-06-02
【超然/励志】李永乐老师：希望大家可以实现自己的价值【不想学习的时候记得看一下】摘要李永乐老师九十高龄仍坚持授课，激励年轻人珍惜学习机会，以学习之苦换取生活之苦，鼓励大家努力实现自身价值。关键词：励志, 李永乐老师, 学习动力, 年轻人奋斗, 生活与学习一想到一位九十多的老人上一次课都是两个多小时，就感觉到李爷爷真不容易，老师都这么大年纪了，还在奋斗。年轻人苦点又算得了什么？吃不了学习的苦就要吃生活的苦。加油＾０＾~继续干

励志美文

刘航宇 5年前
0 349 2
2021-06-02
【高数】形心计算公式讲解大全摘要本文详细讲解了考研二重积分中形心计算公式，包括重心横纵坐标的计算方法，公式为∫∫D xdxdy=重心横坐标×D的面积，∫∫D ydxdy=重心纵坐标×D的面积。关键词：高数, 形心计算, 考研二重积分, 重心横坐标, 重心纵坐标图片考研二重积分中的形心计算公式是∫∫D xdxdy=重心横坐标×D的面积，∫∫D ydxdy=重心纵坐标×D的面积。图片图片

我的随笔

刘航宇 5年前
0 9,139 19
2021-06-02
【高数】三角函数与e指数函数的积分超6解法摘要本文介绍了三角函数与e指数函数的积分超6解法，通过欧拉公式将指数函数和三角函数相乘的被积函数统一成指数函数形式，简化了积分过程。关键词：高数, 三角函数, 指数函数, 积分, 欧拉公式例题 ∫e∧（－2x）sinxdx 1.常规分布积分法：图片 2.(新办法)当被积函数为指数函数和三角函数相乘时，通过欧拉公式可将被积函数统一成指数函数形式图片

我的随笔

刘航宇 5年前
0 5,699 12
2021-05-29
级数中含积分狄利克雷判别法摘要狄利克雷判别法是微积分中判定数项级数收敛的重要法则，与阿贝尔判别法合称A-D判别法，用于判定级数、函数项级数、反常积分及反常含参积分的收敛性。关键词：级数, 狄利克雷判别法, 微积分, 收敛判定, A-D判别法狄利克雷判别法（Dirichlet test / Dirichlet discriminance）是微积分中一条十分重要的判定法则，与阿贝尔判别法（Abel test）合称为A-D判别法。主要用于判定数项级数的收敛、函数项级数的一致收敛、反常积分的收敛以及反常含参积分的一致收敛等。图片图片图片

我的随笔

刘航宇 5年前
0 2,209 1
2021-05-26
图像处理—矩阵卷积运算的具体过程摘要本文介绍了图像处理中矩阵卷积运算的具体过程，以3x3卷积核为例，展示了卷积核与图像像素的逐点相乘和求和操作。关键词：图像处理, 矩阵卷积, 卷积核, 3x3矩阵, 卷积运算假设有一个卷积核h，就一般为3*3的矩阵：图片图片图片

通信&信息处理我的随笔

刘航宇 5年前
1 633 3
2021-05-08
概率论证明样本方差ES^2=DX=σ^2 摘要本文通过概率论证明了样本方差ES^2等于总体方差DX，即σ^2。关键词：概率论, 样本方差, ES^2, DX, σ^2概率论,如何证明样本方差ES^2=DX=σ^2 图片

我的随笔

刘航宇 5年前
0 2,338 13
2021-05-05
【概率论】自由度为n的卡方分布，t分布，F(m,n)分布的期望和方差摘要本文介绍了自由度为n的卡方分布、t分布和F(m,n)分布的期望和方差。卡方分布期望为n，方差为2n；t分布期望为0（n>1），方差为n/(n-2)（n>2）；F(m,n)分布期望为n/(n-2)（n>2），方差为[2n^2*(m+n-2)]/[m(n-2)^2*(n-4)]（n>4）。关键词：概率论, 卡方分布, t分布, F分布, 期望和方差卡方分布： E(X)=n，D(X)=2n t分布： E(X)=0(n>1)，D(X)=n/(n-2)(n>2) F(m,n)分布： E(X)=n/(n-2)(n>2) D(X)=[2n^2*(m+n-2)]/m(n-2)^2*(n-4)

我的随笔

刘航宇 5年前
0 1,534 4
2021-04-21
【双语美文】心灵鸡汤学学自信的人都是怎么做的摘要本文介绍了自信的人如何通过高效、积极追求成功、接受不完美、坚持信念、不畏惧失败等方式在生活中展现自信。关键词：自信, 自我提升, 成功追求, 自我接受, 肢体语言图片 Anyone can adopt the habits confident people practice on a regular basis. Below are just some of the ways those with extra self-possession approach life differently than everyone else. 每个人都能培养自信的人每天做事的习惯，以下就是那些特别镇定自若的人生活中一些与他人不同的做事方法。 {mp3 name="朗读" url="https://f1.w.hjfile.cn/doc/201601/zixinderen060131965.mp3" cover="" theme="#4defed" autoplay="autoplay"/} They're more productive. 他们效率更高。 Confidence = hustle. Research suggests that confident people may be more productive because their can-do thoughts inspire real action. It's no wonder confident people seem to own the office. 信心=抓紧时间。研究显示自信的人可能做事效率更高，因为“我能搞定”的想法鼓励着他们真正行动起来。难怪自信的人看起来好像掌管着整个办公室一样。 Their body language helps boost their confidence. 他们的肢体语言有助于提高自信。 Studies show that how a person carries him or herself influences how he or she feels on the inside. A tall posture and even stretching can help people feel a surge of power -- and confident people take advantage of those little adjustments. 研究显示，一个人表达想法的方式影响着其内心的感受。挺拔的姿态、甚至舒展身体都有助于激发力量，自信的人会利用好这一切。 They aren't self-assured all the time. 他们并不总是自信。 All people have their flaws. The difference lies in recognizing those insecurities and carrying on with life despite them. Research shows self-acceptance is paramount to a happier life, but it's a habit many people rarely practice. Confident people aren't superhuman -- they just accept their imperfections wholeheartedly and live a happy life regardless. 所有人都有缺点，区别就在于要认清不安全的因素，并且继续生活。研究显示，自我接受是生活更幸福的关键，但这也是很多人所缺少的习惯。自信的人不是超人——他们只是真正接受自己的不完美并过着幸福生活，而不去考虑那些。 They actively pursue success. 他们真的在追求成功。 "No" is simply not in a confident person's vocabulary, at least when it comes to success. Confidence is crucial when pursing a career, according to a study published in the journal Basic and Applied Social Psychology. The research found that the more likely someone is able to picture themselves achieving their goal, the more likely they're going to be able to do it. 对于自信的人来说，他们的字典里真的没有“不”这个字，至少在谈及成功时如此。发表在《基础与应用社会心理学》杂志上的研究表明，信心在追求事业时起到决定性作用。这项研究发现，一个人越能幻想自己达成目标，就越有可能获得成功。 They channel their inner celebrity. 他们引导自己向内心的名人看齐。 A confident person's mantra is "I am Beyonce." OK, maybe that's just this author's, but regardless, there's power in celebrity. Research published in the journal Personal Relationships found that when people wrote down qualities they shared with their favorite celebrities of the same gender, they felt much more compelled to become their best selves. 自信之人的咒语是“我是碧昂斯（美国女歌手）”。好吧，可能那只是本作者的想法，但不管怎样，名人效应总是有的。发表在《人际关系》杂志上的研究发现，当人们写下与自己最喜欢的同性别名人所共有的品格时，他们会迫使自己做到最好。 They stick to their convictions. 他们坚持自己的信念。 Confident people place trust in their own opinions -- but not without listening to others, of course. As confidence coach Susie Moore explained in a HuffPost blog, confident people hear all sides of an argument, but ultimately, they stick to what they feel is best. 自信的人信赖自己的想法——当然也不是不听人劝。正如自信导师苏西•摩尔在赫芬顿邮报博客中写道：自信的人会倾听辩论双方的观点，但最终他们会坚持自己看来最好的想法。 "Confident people listen to other people but do not let their difference of perspective take them off track," she wrote. 她写道：“自信的人听别人的说法，但不会让他们观点之间的不同带自己偏离轨道。” They don't fear failure. 他们不害怕失败。 All people have their setbacks. Confidence isn't doing everything right, it's pushing on even after being wrong. Research suggests that people who appear more self-assured are also seem more intelligent. 所有人都会遇到挫折，自信不是做对每件事，而是在做错后仍能勇往直前，研究表明看起来自信的人也似乎更聪明。 They're not afraid of being confident. 他们不害怕自信。 Confident individuals don't shy away from asserting themselves, whether they're actually feeling comfortable or just faking it until they make it. As singer Demi Lovato's recent single so poignantly asks, "What's wrong with being confident?" The answer: Nothing at all. 自信的人不会羞于坚持自己的主张，无论他们是真自信还是假装自信，他们都会坚持如此直到成功。正如歌手黛米•洛瓦特最近的单曲中寓意深刻地问道的那样：“自信有错吗？”答案就是：“何错之有”。

励志美文

刘航宇 5年前
2 836 3
2021-04-19
合同矩阵、二次型满足C^TAC=B求可逆矩阵C一种简单求法摘要本文介绍了一种简单求法，通过观察矩阵A和B的关系，对单位矩阵进行行和列的交换，得到可逆矩阵C，使得C^TAC=B。关键词：合同矩阵, 二次型, C^TAC=B, 可逆矩阵C, 简单求法合同矩阵、二次型满足C^TAC=B求可逆矩阵C一种简单求法例题：设A=[0 1 1;1 2 1;1 1 0],B=[2 1 1;1 0 1;1 1 0]求可逆矩阵C使得C^TAC=B? 解答：观察 A = 0 1 1 1 2 1 1 1 0 B = 2 1 1 1 0 1 1 1 0 A交换1,2行, 交换1,2列即得B 左乘变行右乘变列所以将单位阵进行对应变化 C = 0 1 0 1 0 0 0 0 1 满足C^TAC=B

我的随笔

刘航宇 5年前
1 2,128 2
2021-04-18
爱要及时说出口【双语美文】摘要一个患癌症的男孩在生命的最后时刻鼓起勇气向喜欢的女孩表白，留下纸条表达爱意。母亲发现后，男孩已经离世，留下满满一柜子的未拆CD，每张CD里都有一张纸条，男孩用这种方式表达爱意。关键词：及时表达爱意,癌症,青春爱情故事,双语美文,情感故事图片 There was once a guy who suffered from cancer, a cancer that can't be cured. He was 18 years old and he could die anytime. All his life, he was stuck in his house being taken cared by his mother. He never went outside but he was sick of staying home and wanted to go out for once. So he asked his mother and she gave him permission. 曾有一男孩，患了不治之癌。他才18岁，但生命随时会结束。一直以来，男孩都被困在屋子里，由他的母亲照料。男孩从未出去过，但他厌倦了一直窝在家里，想出去走一走。男孩因此询问他的母亲，并得到了母亲的同意。 {mp3 name="朗读" url="https://d3.s.hjfile.cn/2015/201506_4/3a8286f7-5138-4db3-b7ca-c2a008a977d6.mp3" cover="" theme="#f0ad4e" autoplay="autoplay"/} He walked down his block and found a lot of stores. He passed a CD store and looked through the front door for a second as he walked. He stopped and went back to look into the store. He saw a beautiful girl about his age and he knew it was love at first sight. He opened the door and walked in, not looking at anything else but her. He walked closer and closer until he was finally at the front desk where she sat. 男孩出了门，路过了许多家店。经过一家卖CD的音像店时他看了眼前门。男孩停了下来，并走回去又往店里看了看。他看见一个漂亮的女孩，年龄大约和他一般大。男孩意识到他一眼就爱上了这女孩。他打开了这家店的门，走了进去，什么也不看，就只看着她。男孩越走越近，直到来到这女孩坐着的前台。 She looked up and asked, "Can I help you?" 女孩抬起头来问道：“有什么需要帮忙的吗？” She smiled and he thought it was the most beautiful smile he has ever seen before and wanted to kiss her right there. 女孩笑了笑，男孩认为这是他见过的最美丽的笑容，他甚至想当场就亲吻这女孩。 He said, "Uh... Yeah... Umm... I would like to buy a CD." 他说道：“呃…是的…嗯…我想买张CD。” He picked one out and gave her money for it. 男孩随便挑了一张出来并把钱递给女孩。 "Would you like me to wrap it for you?" she asked, smiling her cute smile again.“ 需要我帮你把它包起来吗？”女孩问，脸上又露出可爱的微笑。 He nodded and she went to the back. She came back with the wrapped CD and gave it to him. He took it and walked out of the store. 男孩点了点头，女孩走到前台的后面。回来的时候女孩拿着包装好了的CD，交给了男孩。他拿了过来，然后走出了这家店。 He went home and from then on, he went to that store every day and bought a CD, and she wrapped it for him. He took the CD home and put it in his closet. He was still too shy to ask her out and he really wanted to but he couldn't. His mother found out about this and told him to just ask her. So the next day, he took all his courage and went to the store as usual. He bought a CD like he did every day and once again she went to the back of the store and came back with it wrapped. He took it and when she wasn't looking, he left his phone number on the desk and ran out... 男孩回到了家。从那以后，他每天都会来这家店，买一张CD，然后女孩就给他包装起来。男孩把CD带回家，放进他的衣橱里。他还是很害羞，不敢把她约出来。他真的很想，但是他做不到。男孩的母亲知道了此事后，就告诉他，只管把她约出来就好了。于是第二天，男孩鼓起了全部的勇气，像往常一样来到了店里。像过去那样，他还是买了一张CD，而女孩也还是走到后面，回来的时候再把包装好的CD交给他。男孩接了过来，趁女孩不注意，他把他的电话号码留在了桌子上，然后跑了出去… RRRRRING!!! “铃铃铃铃铃铃…” One day the phone rang, and the mother picked it up and said, "Hello?" 一天，电话响了起来。男孩的母亲接起电话说道，“你好？” It was the girl!!! The mother started to cry and said, "You don’t know? He passed away yesterday..." 是那个女孩！！！男孩的母亲开始哭了起来，说道：“你不知道吗？他昨天就去世了…” The line was quiet except for the cries of the boy's mother. Later in the day, the mother went into the boy's room because she wanted to remember him. She thought she would start by looking at his clothes. So she opened the closet. 电话里安静了下来，只听到男孩母亲啜泣的声音。之后，男孩的母亲来到了他的房间，缅怀她的儿子。男孩的母亲想先看一看男孩的衣物。于是她打开了男孩的衣柜。 She was face to face with piles and piles and piles of unopened CDs. She was surprised to find all these CDs and she picked one up and sat down on the bed and she started to open one. Inside, there was a CD and as she took it out of the wrapper, out fell a piece of paper. The mother picked it up and started to read it. It said: Hi... I think U R really cute. Do u wanna go out with me? Love, Jocelyn. 在她的面前，是一摞又一摞的CD。看到这么多的CD，男孩的母亲感到很惊讶。她随手拿出一张，坐在了男孩床上。她拆开了包装，把CD拿了出来。一张纸条掉了出来。男孩的母亲捡起了纸条，开始读起来。上面写着：你好…我觉得你真的很可爱。你想和我出去约会吗？爱你的，乔瑟琳。 The mother was deeply moved and opened another CD... 男孩的母亲被深深打动了，拆开了另一张CD… Again there was a piece of paper. It said: Hi... I think U R really cute. Do u wanna go out with me? Love, Jocelyn. 又发现了另一张纸条。上面写着：你好…我觉得你真的很可爱。你想和我出去约会吗？爱你的，乔瑟琳。 Love is... when you've had a huge fight but then decide to put aside your egos, hold hands and say, "I Love You." 爱就是…当你万般挣扎过后，把自我放到一边，握住对方的手，说：“我爱你。”

励志美文

刘航宇 5年前
4 539 2

319 文章数

576 评论量

关于作者：刘航宇，FPGA工程师，西北大学电子系硕士，有多年西北大学电子通信考研辅导和FPGA与嵌入式项目指导经验

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支持者
2026-09-16

# 图片回复
guy
2026-09-11

看看内搭
Guest
2026-09-07

很好的插件。感谢！