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I realize I've given you some difficult mathematics, but--it's not that difficult actually-- but I kind of went through it quickly.
我发现我给了你们一些比较难的数学公式，不过，并不是想象的那么难-,我很快就把它们讲完了。
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We don't have requirements. We don't have to take math, that's the reason I applied to Brown,
我们没有什么硬性要求。我们不用上数学课，这是我选择布朗大学的原因，
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One solution for that is to get a copy of a textbook I wrote called Basic Training in Mathematics.
解决办法之一,就是买一本我编写的教材,书名叫《数学基础训练》
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I talked about life is not like a mathematic problem ? with you or in my other class ?
我说过生活不是个数学难题,是跟你们说过？，还是在我另外的课上？
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- But there's one potential gotcha here -- and this is where you have to be kind -- of piecing together the little clues along the way -- what have I done that's interesting here that had I not, I would have had a mathematical error?
但是这里有一个可能性-,这就是你需要把,一些线索拼凑在一起-,我这里所做的是很有趣的，如果我不这样做，我可能已经犯了个数学错误？
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I think math is the most obvious one that would be suitable for adapting to this format.
我觉得数学是最明显的,数学能很好地,适应这种方式。
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Again, don't worry too much about the equation, we're not really going to do any math here, I'm just putting it in for completeness.
对这个方程也不需要太深究,在这里我们不强调数学运算的,我把它写出来是为了表述完整
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so I'll need to do math and science classes for the rest of my college career.
所以我必须在我余下的学生阶段完成数学和自然科学的课程。
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And the prospect of having a lot of time to pursue math problems of a richer and deeper sort seems fairly attractive.
要是能有时间,解决更困难更深奥的数学问题,对我相当有引吸力。
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That's the answer I heard. Is that all right? Okay, enough of this mathematical falderal.
这是我听到的答案,没错吧,好的,不管这个数学谬论了
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Others though, I want to tell you that it doesn't-- if you're shopping-- I had a student come by yesterday and ask he's a little rusty in his math skills if he should take this course.
其他的,我想告诉你们不必...,如果你还在挑选课程...,昨天有个学生来问我,他的数学有点荒废了,他该不该选这门课
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So it was very interesting, like, mathematical which is what I am interested in, so
很有趣，跟数学有关，是我所感兴趣的，所以
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I don't have to take math ever again, so the people here are like, they are in the class they want to be in the class,
我再也不用学习数学了，所以这里的学生可以想学什么学什么，
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You will have to have a little more math, a little more physics to do that, but I am going to talk about something that you are familiar with.
你还需要学习再多一点的数学，再多一点的物理，但我将说一些,你所熟知的事。
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If the stereotype is "your group doesn't do good in this," if I remind you that you're a member of that group immediately before doing it, your performance will drop.
如果刻板印象是“你的群体数学不好”,如果我在考前说，你是这个群体的,你的表现就会下降。
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So in my first year, I took math, I took English, I took architecture.
所以在第一年里，我上了数学、英语、建筑方面的课。
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Alright, when I was an undergraduate, I was Computer Engineering and Math.
我本科的时候学的是计算机工程与数学。
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It's something I study, and I like it a lot, it's very interesting,
这是我学习的内容，我很喜欢数学，很有趣。
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Because, for example, I was okay in the reading but for the math.
因为，比如说，我的阅读还行，但是数学，
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The math quiz is on calculus, and I am really bad at it.
这次数学考试是关于微积分的，是我特别不擅长的部分。
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and I left my math notes in someone's car
而我却把自己的数学笔记落在谁的车里了。
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But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."
但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉
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This is a calculus-based class and I expect everyone to know at least the rudiments of differential calculus.
这门课需要微积分的数学基础,我觉得每个人至少应该知道,一些微积分的基础知识
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I don't want anybody to quit this class because they're worried about math or math notation.
我不希望你们因为对数学,或是数学符号的恐惧而放弃这门课
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There has to be the mathematical model, which I just presented, but it may be more complicated.
还必须有我之前讲的数学模型,但实际模型可能更复杂
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Mine is to demonstrate over and over how little mathematics you need to get the job done.
我的方法就是,反复演算,用最少的数学来解决问题
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And if you haven't, if you've never seen it before, if you haven't taken, for example, the equivalent of Math 112, come and see us.
如果你以前没有接触过,或者说你们没学过类似数学112的课程,来找我求助吧
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I was like... I'm slower at math than I'm in reading.
我呢……我的数学比不上阅读。
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So, I enjoy it, but it's not everything for me.
因此，我很享受数学，但它不是我的全部。
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I'm worried about the math quiz on Monday.
我很担心周一的数学考试。
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