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Many images in the movie are based on complex mathematical calculations about space gathered by scientists.
VOA: special.2010.09.29
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And our job is to find out what is the mathematical description of this path, this line in p-V's case that connects these two point.
我们的任务,就是找出，描述这条曲线的方程。
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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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Mister Galbraith's books lack the mathematical and statistical research found in most works on economics.
VOA: special.2011.05.01
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This is an abstract and powerful mathematical statement of the first law of thermodynamics.
这是热力学第一定律的一个抽象,而且具有很强数学性的表述。
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The final step in the process was to take the mathematical information from the book, link it to the current information and solve the resulting problem.
VOA: special.2010.07.14
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We have theories--mathematical theories-- that lead us to devise financial structures, which are complicated devices just like engines or nuclear reactors.
金融学中的理论,数学理论,能帮助我们构造金融工具,金融工具就像发动机,或者核反应堆一样,都是复杂的工具
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The complex documents and mathematical work were no longer necessary.
VOA: special.2010.07.14
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So the mathematical notions of infinity or logical notions like logical entailment are beyond a child of this age.
因此,对于无限这个数学概念,或者是,像逻辑蕴涵这样的逻辑概念,超出了该年龄阶段儿童的理解范围
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"We've also learned a lot about the virus from mathematical and computer modeling.
VOA: standard.2010.02.16
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Not just in sort of mathematical things like chess or math, there are, as you know, programs that can write music.
不止是下棋或数学这类跟数理有关的事,你知道,有些程序甚至能创作音乐
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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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So I don't know your mathematical background, but the textbook has an appendix, which is a reasonable measure of how much math you should know.
我不太清楚你们的数学功底,但教材上有附录,它能清楚地告诉你,你应该掌握多少数学
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Second thing I would say that was valuable "Thank goodness, I did one year at Stanford Business School and learned how to read a balance sheet and understand the basics of cost accounting which is not mathematical rocket science.
我要说的第二件事是很重要的,感谢上苍，我在斯坦福商学院学了一年,学会了怎么看资产平衡表，知道恶劣,成本会计的基本知识。
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And, as I already said, he loved mathematical instruments and telescopes.
我之前还说过,他喜欢数学仪器和望远镜
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It's a mathematical thing too.
那也和数学有关
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So how would we go about solving this problem if I told you not only was there a maximum weight, but there was a maximum volume. Well, we want to go back and attack it exactly the way we attacked it the first time, which was write some mathematical formulas.
有些时候两个都重要,所以如果我告诉你这里不仅有,最大重量还有最大容量，我们应该怎么解决这个问题呢？,好了，我们想回过来然后,和第一次一样看看这个问题。
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He now has super-human mathematical talent, can read and remember the contents of an encyclopedia volume in a few minutes, and speak a language fluently after reading one textbook.
他现在有超过人类的数学能力，能阅读,能在几分钟内记住百科全书的内容,通过阅读一本教科书就可以,流利地讲一门语言了。
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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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The mathematical theory of probability was unknown until that time and you can see that insurance suddenly made an appearance at that time.
在那之前,概率的数学理论,是不存在的,而随着概率论的出现,保险业也突然出现了
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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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I cannot make the object simpler than being just a mathematical point.
找不到比质点更简单的模型了
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There are mathematical theorem-proving programs.
有些程序可以证明数学定理
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In that autistic people show no impairments dealing with the physical world, they show no impairments on-- they don't necessarily show any impairments on mathematical skills or spatial skills, but they have a lot of problems with people.
因为孤独症患者并未表现出生理上的缺陷,所以他们并不会在数学技能或空间技能上,表现出什么缺陷,但他们却在人际交往方面存在很多问题
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John is a mathematical economist and we both love mathematics, but maybe John is going to do more of it than I am.
约翰是个数理经济学家,我们都热爱数学,但是约翰会讲授更多关于数学的内容
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Not to harp on the mathematical features of this, but cubing, AX*X*X you know, if you're starting to do AX star, X star, X, every time you want to cube some value in a program, it just feels like this is going to get a little messy looking, if nothing else.
不要总是说这个的数学特性，但是体积，你们懂的，如果你开始做，在一个程序中，每次你想算几个数值的体积，感觉它就变得,有一点凌乱的，如果没有其他的。
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The way the physics works is you will find some laws of motion in mathematical form, you put in the initial conditions of whatever, you solve the equations, and the answer that comes, you have no choice.
在物理问题中,你可以用数学方法得到运动定律,你代入初始条件,然后解方程,获得答案,你别无选择
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And some people with autism have extraordinary artistic abilities or mathematical abilities or musical abilities and these are amazing.
一些孤独症患者拥有超凡的艺术能力,数学能力,或是音乐能力,这非常神奇
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The next lecture will be among the more mathematical, although it's very elementary.
下一讲中,会有比较多的数学内容,都是很基础的知识
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In the second lecture, I talked about the pooling of risks and the basic theme of that lecture was that we now have a mathematical theory, probability theory.
第二课，我讲了风险汇聚及分摊,那节课的主题是,一门数学理论，即概率论。
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