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So the probability of having an electron at the nucleus in terms of probability per volume is very, very high.
在单位体积内发现,一个电子的概率非常非常大。
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I think the best thing to go and see is a man who was found in a bog.
我想最值得去看的东西是一个在沼泽里被发现的男人。
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By putting it in a function bug if I find a bug and I change my program I can just run the function again.
把我输入的值放到一个函数里,如果以后我在程序中发现了一个,并对程序进行更改的话，我可以直接。
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When you want a point particle, if you wake up and find a point particle on your bed, what's your reaction?
当你想要一个质点,想当你醒来时发现一个质点在你的床上,你是什么反应
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Well, however we settle that issue, notice there's still one other assumption that all these positions still have in common.
不管我们如何解决这个问题，我们都会发现有一个假定,是这些观点都共有的。
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You find it in datable places and that's why we can give this some kind of date, such as in Egypt.
你会发现它属于一个可确定年代的地区,这正是可甄别此文明所属年代的原因,例如在埃及
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You got an extra hint here in terms of the order, so even if you had just forgotten what I said, sometimes it's not a terrible idea just to put it in the order it's written, that can give you a lot of clues as well.
其实大家还可以发现一个额外的提示，因此即使你忘了我刚才说的，有时候直接按照这个顺序,排列也不失为一个办法，这也可以给你很多提示。
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Another discovery which we'll talk about next week is-- Has anybody heard the phrase "six degrees of separation?"
我们下周还会讲他的另一个发现-,有谁听过“六度分隔理论”？
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What he did was coined this. But he found that by taking the reciprocal of the wavelengths, you have four numbers, he took the reciprocals of those wavelengths and found that they fit a numerical sequence.
这些都是由他所做的一切得来的,但是他发现通过取波长的倒数，你有四个数字，他取了这些波长的倒数,发现它们构成了一个数列。
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And what they found remarkably was significant similarities among these twins, sometimes to the points of unbelievable.
发现了一个明显的现象,这些双胞胎极其相似，有时相似之处非常惊人。
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There are many pro-slavery writers who developed, like James Henry Hammond, what I would call the cynical or amoral form of pro-slavery argument; and this is a potent form of argument when you think about it.
另外还有很多亲奴制的作家有一些,比如詹姆斯.亨利.哈蒙德,我称之为愤世嫉俗的,或不道德的亲奴制的论断,细想之下你们会发现这是一个很有力的论断
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You'll find it in, what's happening a lot in Brooklyn, a lot in the urban areas now,
你会发现现在布鲁克林的城区正有一个变化，
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What you find when you actually open up Pynchon's novels is an incredibly rich world of human detritus, of history.
当你真正看Pynchon的书,你能够发现一个难以置信的。
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So, my danger when I came to what I called the "crossroads" of inheritance and this discovery was not a danger of Muslim extremism.
因而，当我遇到危险，即我所谓的,继承传统的十字路口和发现另一个美国时,这个危险并非穆斯林极端主义的危险。
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So I claim if you look carefully there's a little box in here that's still alive.
如果你们仔细观察,会发现还剩一个小方格
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One useful thing about separating receptors into types or families is that we found that many different receptors work by the same basic underlying mechanism.
我们将受体进行分类的一个依据,就是我们发现,很多受体有相同的作用机制
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And that's what he did. And for the point of view of France, they emerged from the war with the reality that they are in victory a weaker nation than Germany is in defeat.
他就是这么干的,从法国这边来看,他们在战后的现实中发现,他们作为一个战胜国,比德国一个战败国还要弱小
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And I'll also remind you, and we're going to see this in the next example, we talked about looking at the worst case behavior. In these cases there's no best case worst case, it's just doing one computation.
我还要提醒大家的就是，我们也会在下一个例子里发现者一点，我们谈到了要去考虑最坏的情况,在下面这些例子里,没有好情况坏情况之分，就只是一次运算。
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Do you realize that this is a pair of simultaneous equations in which you can solve for these two unknowns, if you like, in terms of these two knowns and these coefficients, which are like these numbers, 3, 2, 4, and 6?
你们是否发现这其实就是一个方程组,你可以用它来解出这两个未知量,你愿意的话,可以用这两个已知量,和这些系数,比如这些数字,3,2,4和6
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I don't know if you heard this morning, but there was news of the discovery of yet one more element.
我不知道你们今早听说了没，有一个新发现,一个新的元素的发现。
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So, it's a cool finding of that stage, suggesting a limitation in how you deal and make sense of the world.
这是该阶段的一个重要发现,表明儿童在考虑和理解世界的方式上,存在着局限性
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Similarly, if we were to look at the radial probability distributions, what we would find is that there's an identical nodal structure.
相似地如果我们看看,径向概率分布,我们会发现有一个完全相同的波节结构。
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bug This is an easy bug to come up with. But imagine, if you don't do the test, you're going to get answers that don't make any sense.
这是一个容易发现的，但是想象下，如果你没做测试的话,你会得到没有意义的答案，实际上。
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The idea being if I find a pattern across multiple people's computers maybe all of those people are infected with the same kind of malware or virus or worm.
如果我从不同人的计算机中发现了一个模型,这就说明,所有那些人的计算机都感染了相同的,恶意软件，病毒或蠕虫。
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Again, when you learn the relativity, you will find out there's one vector that's staring at you.
再说一遍,当你学习相对论的时候,你会发现,有一个矢量会始终指向你
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One of the astronauts, discovering the plot, attempts to stop Hal.
其中的一个宇航员,发现了它的阴谋,试图阻止哈尔
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And what we find, the first example of a Bronze Age-- and I use the word civilization now for the first time, because before the Bronze Age-- there is nothing that we would define as civilization.
我们发现的第一个文明出现在青铜时代,也是我第一次用文明这个词,因为在青铜时代之前,没有任何东西能称之为文明
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