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Now Isaac Newton and/or Joseph Raphson figured out how to do this kind of thing for all differentiable functions.
既然牛顿和拉复生已经,指数了如何解这种可导函数,因此我们就不用太担心了。
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As you can see, I work here in the Macombs Dam Park where the track is at.
正如你所看到的，我在这里的梅可姆公园工作，那条小路就在那儿。
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And so, it would be a shame for me not to use them to cover some of these issues.
如果不能请到他们来帮助我教授这些主题,那可就太可惜了
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Sometimes when correspondence is saved you run into these kinds of problems, so we have to guess a little bit at what she was looking at.
有时即使资料的确存在,可找不到麻烦就来了，因而，我只能去猜测她的大意了。
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I can be a little more careful about keeping track of what goes on inside of that loop. If I don't have any more work to do, let me just stop.
我能更小心点来跟,踪循环里发生了什么,如果没什么可干的了，就停下来吧。
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He speaks in a language of math and it is very important for students to be able to have hot copies so that they can take notes on the paper rather than be working very hard to copy down the equations that he used in these lectures.
他以数学语言授课,所以发给学生教学材料,是非常重要的,这样就可在纸上做笔记,而不用拼命,抄下他在课上,用到的等式。
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Human beings can be reduced to their movable parts much like a machine.
人类被浓缩到那些可运动的部分,就像一个机器。
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Okay, we'll allow some abstention in the first day but not beyond today.
第一节课就这样了,但以后可不行
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You can't say quite as much if you've only been in France for a couple of days before coming back, but still you can say something relevant.
如果你只是去法国待了几天就回来的话,的确没有多少可说的,但是你仍然可以说出一些相关的东西
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And so it's an understandable ploy on Milton's part that he needs to vilify Shakespeare by identifying that great poet, his older contemporary, with Comus.
所以就弥尔顿而言，是一个可理解的事,他需要通过认同那伟大的诗句来贬低莎士比亚，用Comus来压倒比他年纪较大的同时代人。
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which means that... I didn't like some of my classes in high school, like science,
这样的话，我就不必像高中一样，明明不喜欢科学，可还是要上科学课，
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If so, I've got some letters to capitalize.
如果是的，这里就有可使用的字母。
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It's measured by subsequent performance in the amount by which the winner wins equals the amount by which the loser loses, but it costs a lot to play the game.
之后的业绩表现可判输赢,而且赢方赚的钱,就等于输方赔的钱,但是交易本身会产生巨大的成本
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You shed the pounds just by walking. I like it. It's so much better.
就走几步路就能减肥，我喜欢这个方法。这可要棒多了。
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My teacher won't accept late work and I can't get a bad grade.
我的老师逾期就不再收作业了，而且我可不能得一个太差的成绩。
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If you want to lose electron, you have to find someplace for that electron to go.
如果你想要失去一个电子，你就必须为它找到一个可去的地方。
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I don't want to be told that I could sit here for the rest of my life just sort of parsing one sentence. Don't tell me about that.
我可不想坐在这里学一辈子,就为了解读一个句子的意思，千万别这么告诉我。
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They control and dominate the Baltic trade, and herring is an important part of that, because herring will keep once it's salted and all that.
他们几乎控制和掌握了整个波罗的海贸易,而鲱鱼则是其中的重要组成部分,因为鲱鱼一旦用盐浸泡过就可长期保存
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If you think about the American idea as an example of the modern way of thinking about these things, the notion is we can't do anything.
如果你以美国式理念作为,一种现代思维方式去,思考这些内容的话,就会觉得无法可施
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Now with stem cell technology there are two pathways that are imaginable.
如今有了干细胞技术,也就有了两条途径可选。
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Well, that matters to us, but the trouble is, without predictability you don't know where to put the peak.
那对我们很重要，但问题是，没可预见性你就不知道巅峰放在哪点。
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As soon as the available size goes to 0, I know I can't enter any more items into the memo, right?
一旦可装大小为0时我就知道,我不能再在memo中添加物品了？
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And this is no surprise if what we are is the workings of our physical brains, but it is extremely difficult to explain if one is a dualist.
如果我们的本质就是生理大脑的活动,那这也就没什么可惊奇的,但对于二元论者来说,解释这些却是非常困难的
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So these are Coke and Pepsi, that will confuse me less.
那就可口可乐和百事可乐吧,这会更容易理解
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If you're a fan of the neutral container theory, you won't have anything extra to add, because life per se is just a zero.
如果你是中性容器理论的粉丝，你就没有任何额外的东西可添加，因为生活本身等于零。
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And if the other countries aren't going to cut down on their fishing, then you want to catch the fish now, because there aren't going to be any there tomorrow.
如果其他国家不打算减少捕捞量,那么你现在就想先把鱼都捞起来,因为没准明天就会无鱼可捞了
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Let's just... We'll get there, just to remind you, the way we read this is you give me a quantity of Firm 2, I find Firm 1's best response by going across to the pink line and dropping down.
我们当然也能算出来,提醒一下各位,这个图像的个意思是任意给出公司2产量,然后通过这条粉色的线,就可找出与之对应的公司1的最佳对策
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It's really as if the game is being played where the only choices available on the table are 1 through 67.
就如同这游戏的可选项只有,1到67之间的数字了
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To be a king, one need merely put forth one's regal state, one simply needs to act kingly.
欲称王，只需要有帝国的疆域，言行举止好似一个王就可。
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