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It's 33, 32, it's only 32 times and you can check that math at home but here lies the power of algorithmic thinking, of computational thinking as they say.
你需要33，32，对，32次,你也可以在家里自己计算，但数学算法的力量是无穷的，这就是科学家们所谓的计算机思维。
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One of them, his name is Gil, he is very... he knows his math, well, that's not the right way to put it.
其中一位教授名叫吉尔，他十分……他对数学有两把刷子，嗯，这个描述不是很恰当。
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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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I'll show those again, but what I want to do mostly today is try to put a mathematical statement of the second law in place that corresponds to the verbal statements that we saw last time.
今天我还将跟你们讲这些，但今天的重点是,对上次口头表述内容中的热力学,第二定律,的数学推导,我们上次看到的。
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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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So we've looked at how to solve square root we've, looked at two problems, I've tried to instill in you this sense of paranoia which is so valuable, and now we're going to pull back Python and return to something much simpler than numbers, and that's Python. All right?
我们已经研究了如何去求平方根,研究了两种方法,我一直在尝试着给你们逐渐灌输,要偏执的理念，这样的理念非常有价值，现在我们回过头来去学习一些,比数字更简单的东西，也就是,对不对？数学问题很难？
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Mathematically, it's done by taking the expression for R and differentiating everything in sight that can be differentiated as vector t.
从数学上看是这样的,写出 R 的表达式,并对所有可以进行矢量微分的部分,对时间 t 求微商
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I was very much into not only literature but also math and science,
我不仅喜欢文学，还对数学和科学感兴趣，
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He was interested in math and in geography, and thus in maps and map making.
彼得对数学和地理也很感兴趣,进而喜欢地图和制图
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We have an error somewhere.
如果进行数学计算对的话。
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And so people that are interested in Math and Science
所以对数学和科学感兴趣的人，
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And the mathematics of that equation involved a double derivative in time of x 0 plus some constant times x equals zero with some constraints on it.
那个数学方程式,包括了x对时间的二阶导数,加上常数乘以x等于,还有一些限制条件。
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What does mathematics mean to you?
数学对你来说意味着什么呢？
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Finally this may be news to you, but this is not English 10A or Math 55, meaning you'll not have to read as much as you will read for 10A or for a history class, and this class is not as difficult as Math 55 so you rest.
最后这个可能对你们来说有些新，但这不是10A号英语课和55号数学课，也就是说你不用像10A号课或者历史课那样做大量的阅读，也不像55号数学课一样难，所以你们可以轻松些。
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You say, "Yeah, here's a math problem I haven't solved before, but so what? I've just done so much math, " it holds no appeal to me before."
你会说“是的，我没解决过这个数学问题，那又怎样？我研究了太久的数学，我对它失去了兴感“
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Or, you like math now but then you lose your taste in math, and you become the kind of person perhaps who's interested in Chinese poetry, whatever it is.
或者你失去对数学的原有兴趣，变成那种,对中国诗词感兴趣的人。
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That's the Platonic take on mathematics.
这是柏拉图式对数学的理解
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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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