w_wind

5K posts

w_wind

w_wind

@w_means_wind

Katılım Ağustos 2022
18 Takip Edilen68 Takipçiler
English grammar
English grammar@knowiiiedge·
Only grammar experts get this right
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English grammar
English grammar@knowiiiedge·
He apologized ____ being late. A) about B) on C) with D) for
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LEARN THINGS
LEARN THINGS@DPOSTS2·
She asked me ___ the window. A) open B) opening C) to open D) opened
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w_wind
w_wind@w_means_wind·
@MoQiuyao201314 首先你这视屏里的影像都是后来的故事片雷锋里的。二是雷锋生前就是各类标兵模范,所以许多摆拍不奇怪,所以你暗示什么?
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Qiuyao Mo
Qiuyao Mo@MoQiuyao201314·
雷锋可以说是“摆拍界”的祖师爷了。在那个物资匮乏的年代,普通人一年都照不了几张相,可雷锋却在短短几年里留下了几百张“做好事”的照片,这不禁让人怀疑,难道这是一个正常人身上发生的事?现在想想,除了摆拍,没人会随时随地带着摄影师。“雷锋事迹”就是一个谎言,骗了几代中国人。直到今天还在继续。
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w_wind
w_wind@w_means_wind·
@DPOSTS2 Both b, watched and d, watches work
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LEARN THINGS
LEARN THINGS@DPOSTS2·
We _ TV every night. A) watch B) watched C) watching D) watches
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LEARN THINGS
LEARN THINGS@DPOSTS2·
This is the book ___ I bought yesterday. A) who B) which C) where D) what
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English grammar
English grammar@knowiiiedge·
99% people will get this wrong 😳 She was born ____ the night. A) at B) on C) in D) for
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Learn english
Learn english@englishtiips·
Choose the correct options.
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LEARN THINGS
LEARN THINGS@DPOSTS2·
I accidentally___ the milk. a. spilt b. split
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English grammar
English grammar@Englishtiip·
Choose the correct ans?
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LEARN THINGS
LEARN THINGS@DPOSTS2·
She is disappointed ___ the result. A) with B) at C) in D) about
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w_wind
w_wind@w_means_wind·
@druncle 哪里都有好的和不好的教师,说一个地方的普遍比另一地方好要大数据支持,你说教材米帝好些,也不竟然。米帝的教材印刷极其精美是中国教材不能比的,但是要几百美元一本,上千人民币。你说呢?好坏不好说了,米教材有时候太啰嗦,不如大陆教材简洁,各有千秋吧,不可一概而论
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纽约博叔
纽约博叔@druncle·
是的,在美国学线性代数的都用过老爷子的教材。 美国的数学教材确实写得非常好,不像中国的数学教材都是定理、推论等罗列,然后死教条论证以及举几个例子,让人觉得数学就是很枯燥的东西。 我到了美国以后,拿美国数学教材,半自学地把这些数学课重新学习了一遍,才真正认识到数学的美,数学应用在实际中的不可思议。
Ihtesham Ali@ihtesham2005

An MIT professor taught the same math course for 62 years, and the day he retired, students from every country on earth showed up online to watch him give his final lecture. I opened the playlist at 2am and ended up watching three of them back to back. His name is Gilbert Strang. The course is MIT 18.06 Linear Algebra. Every machine learning engineer, every data scientist, every quant, every self-taught programmer who actually understands how AI works learned the math from this one man. Most of them never set foot on MIT's campus. They just opened a free playlist on YouTube and let him teach. Here's the story almost nobody tells you. Strang joined the MIT math faculty in 1962. He retired in 2023. That is 61 years of standing at the same chalkboard teaching the same subject to 18-year-olds. The interesting part is what he did when MIT launched OpenCourseWare in 2002. Most professors were skeptical. They worried that putting their lectures online would make their classrooms irrelevant. Strang did not hesitate. He said his life's mission was to open mathematics to students everywhere. He filmed every lecture and gave it away. The decision quietly changed how the world learns math. For decades linear algebra was taught the wrong way. Professors started with abstract vector spaces and proofs about field axioms. Students drowned in the abstraction. Most never recovered. They walked out believing they were bad at math when they had simply been taught in an order that nobody's brain is built to absorb. Strang inverted the entire curriculum. He started with matrix multiplication. Something you can write down on paper. Something you can compute by hand. Something you can see. Then he showed his students that everything else in linear algebra eigenvectors, singular value decomposition, orthogonality, the four fundamental subspaces was just a different lens for understanding what the matrix was actually doing under the hood. His rule was strict. If a student could not explain a concept using a concrete 3 by 3 example, that student did not actually understand the concept yet. The abstraction was supposed to come last, not first. The intuition was the foundation. The proofs were just confirmation that the intuition was correct. The second thing Strang changed was the classroom itself. He said please and thank you to his students. Every single lecture. He paused mid-derivation to ask "am I OK?" to check if anyone was lost. He never used the word "obviously" or "trivially" because he knew exactly what those words do to a student who is one step behind. He treated 19-year-olds learning math for the first time the way he treated his own colleagues. With patience. With respect. With the assumption that they belonged in the room. For 62 years. The result is something that has never happened in the history of education. A single math professor became the default teacher of his subject for the entire planet. Universities in India, China, Brazil, Nigeria, every country with a computer science department, started telling their own students to just watch Strang's lectures. The University of Illinois revised its linear algebra course to do almost no in-person lecturing. The reason was honest. The professor said they could not compete with the videos. His final lecture was in May 2023. The auditorium was packed with students who had never met him before. He walked to the chalkboard, taught for an hour, and at the end the entire room stood and applauded. He looked confused for a moment, like he genuinely did not understand why they were cheering. Then he smiled and waved them off and walked out. His written comment under the YouTube video of that final lecture was four sentences long. He said teaching had been a wonderful life. He said he was grateful to everyone who saw the importance of linear algebra. He said the movement of teaching it well would continue because it was right. That was it. No book promotion. No farewell speech. No legacy management. The man whose teaching is the foundation of modern AI just thanked the audience and went home. 20 million views. Zero ego. The entire engine of the AI revolution sits on top of math that millions of people learned for free from one quiet professor in Cambridge. The course is still on MIT OpenCourseWare. Every lecture, every problem set, every exam, every solution. Free. The most important math course of the 21st century is sitting one click away from you. Most people will never open it.

Queens, NY 🇺🇸 中文
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w_wind
w_wind@w_means_wind·
@ZhongJinhua 你说的孩子都是没有上中学的,等他们上9年纪再说吧
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Zhong Jinhua🇺🇸
Zhong Jinhua🇺🇸@ZhongJinhua·
美国中小学学生到底有多自由多幸福 很多带孩子来美国 读过中小学的中国人父母 完全不敢相信 美国中小学学生 早上8点半上课 下午2点半就放学 从来没有早自习晚自习 根本不需要每天做巨量作业 更不必周末寒暑假到老师家交钱补课 课余时间完全自由安排 娱乐爱好旅游想玩什么学什么都可以 这些在中国几乎根本不可能
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English grammar
English grammar@knowiiiedge·
She is good ___ mathematics. A) in B) at C) on D) with
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w_wind
w_wind@w_means_wind·
@johndutton0412 你可以说旧的不去,新的不来,但是这种所谓求标准翻译都是毫无意义的,浪费时间,答案是没有最好的,因为要根据语境适当变动翻译,翻译不是一成不变的,是一个对原作的再创作过程,
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老槍
老槍@johndutton0412·
检查一下兄弟们的英语水平。
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