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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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That way you don't have to go to a gym afterwards , you don't have to go to Yoga,
这样你就不用下班以后再去健身房锻炼了，不用再去练瑜伽。
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Previously humans were to be vegetarian: Genesis 1, the portrait was one in which humans and animals did not compete for food, or consume one another.
在《创世纪》1中，早期的人类是素食主义者，描绘了一幅人类和动物,不用争夺食物，不用互相残杀的景象。
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So this is going to be review still again, and for those of you for whom it isn't review don't worry.
那么就当作是复习了,那些之前没有学过的同学也不用担心
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As you're settling into your seats, why don't we take 10 more seconds on the clicker question here.
你们现在都坐在座位上了，为什么不用10多秒的时间,来做这道选择题呢？好的。
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What you're doing there is actually subdividing the beat into two but don't worry about that. That's fine.
刚才你做的,实际上是把鼓点再更细致地一分为二了,不过不用在意,那也是可以的
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So in a sense it tells you this work of art is of a piece with what you already know; it's familiar in those ways, and you shouldn't be afraid of it.
在某种程度上,这告诉了你这件艺术作品,其实是你早已认识的东西;,你已经通过那些方式了解了它，不用怕它。
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You wouldn't think I would have, I don't have -- all right, be that way about it.
你不用担心我需要什么，我不需要什么--好了，先这么做。
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It solves a slight bug if we don't use it at all, but more on that in the future when you talk about files and creating files.
它解决了一点缺陷，如果我不用它，但是更多的是在以后当你们讨论,文件和创建文件时。
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You still have to hide the note from theft, but at least you don't have to hide a whole bunch of gold from theft.
你仍然需要小心藏好票据防止被偷走,但是至少你不用,再藏一堆金子了
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Readymade, factory-made cloth for a woman, a housewife, who isn't making her own cloth anymore.
他们向家庭主妇们推销工厂生产的服装,她们再不用手工自制衣服了
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Wouldn't it be nice to be able to go someplace and just for a period think to yourself, "Well, you know, right now I don't have to worry about that.
要是能去那岂不是很好,你能有一段时间对自己说，“你知道，现在我不用担心死亡了。
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I think you can figure out the rest.
剩下的不用我提示大家也该知道怎么写了吧。
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But after that it'll be writing about whatever you want and sometimes people feel a little out to sea not knowing exactly what we're expecting, so those instructions that we send out will be helpful.
之后就不用了,只需要写想法就可以,有时候人们会有点不知所措,不清楚我们要的是什么,所以我们给出的说明是有帮助的
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One reason for this is obvious; it's cheaper not to pay people, but the other reason is more interesting.
这样做的其中一个原因很明显;,不用付钱，当然就能省点了，但另一个原因更有意思。
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Needless to say, the satisfaction of John Milton, Sr. will have to be postponed to the great hereafter. He will not be able to reap the profit of his investment in his son's study until not only after his own death, but of course after his son's death as well. That's Milton's logic here.
这个名字已经历经了好几个世纪，不用怀疑,弥尔顿父亲的赔偿会继续延续下去,但他却不能在有生之年享受到他对儿子支持的回报，在弥尔顿死后也一样享受不到，这就是弥尔顿的逻辑。
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Usually the cellular means that they get rid of is that instead of an antibody being produced, you activate a population of cells that will specifically go and hunt down the foreign antigen, or more commonly, cells that contain the foreign antigen.
通常细胞免疫意味着,不用生成抗体就能清除抗原,你激活了一个细胞类群,这一类群能够,并杀伤外源抗原,或者更常见的是,杀伤含有外源抗原的细胞
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Maybe you should leave before it gets too dark, so that you don't have to walk too far.
也许你该在天黑之前就动身回去了，这样你就不用走那么远了。
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The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.
线性的威力是,一个方程，如果它是个线性方程，那么我就不用再去解他了。
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But if, at any point, I get to a place in the list where the thing I'm looking for is smaller than the element in the list, I know everything else in the rest of the list has to be bigger than that, I don't have to bother looking anymore.
比当前位置数组的元素要小,我也就知道后面的数肯定,也都比我的目标数要大了，我就不用再继续进行下去了,这意味着目标数不在这个数组中，我就可以退出了。
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As an undergrad, you don't have to worry about it, you're just worried about learning.
我们还要造一个新的探测器,这会不会太浪费时间？作为一个本科生,你就不用担心这个了，你可以在上面花时间。
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You don't need me to tell you that human civilization is very, very old.
人类的文明是非常非常古老的,这不用我来告诉大家了吧。
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Okay, you don't have to change things because it's now built into the healthier--quote, "Healthier"--version.
你不用去改变,因为现在肯德基,变得更健康了,注意"更健康"这说法
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The answer is generally not because if you buy the stock before it goes ex-dividend, you get--you have to pay a higher price, but you get the dividend.
答案一般来说是不用,如果你买了股票,是在除息之前买的,你的买入价高,但能分到红
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Let me qualify that lesson slightly, unless you're German.
我来简单证明一下,德国人就不用听了
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006 when it finally died.
006年之后就不用了。
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So just to emphasize that the strategies are quantities, rather than using S let me use Q today to be the strategies.
为了突出策略就是商品的产量,这次我们用Q来表示策略而不用S了
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One of the advantages of this is, that I don't have to worry about explicitly updating my variable. That happens for me automatically.
这样继续下去，这样做的一个优点是,我不用为更新变量来发愁了,程序会自动的为我进行这个操作，这一点很好。
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You don't have to read the notes cause you've got the sound in your ears, part of your aural memory.
你不用去看音符,因为你头脑里已经有了声音,这是你听觉记忆的一部分
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And I had mentioned several times thatyou do not need to memorize the majority of the equations and you don't need to memorize any physical constants.
另外我已经提过好几次了,绝大多数的公式大家都不需要去背,也不用去记任何物理常数。
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