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So we've now whittled this problem down into half and so we can literally and dramatically throw half of the problem away.
如此一来,我们就把这个问题简化了一半,我们可以大胆的扔掉另一半。
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I mean, this is, I could talk for hours on this, but I guess I'll keep it short.
我觉得我们可以就这个话题谈上几个小时，但我会简短一些。
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You see, the quantum condition, by putting quantization into the moangular mentum it is propagated through the entire system. Orbit dimensions are quantized.
你们看，量子条件，通过把,角动量量子化，它就能在这个系统中进行传播,同时轨道大小也被量子化。
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So if I take away the quotation marks, all I have is the word with no indication that it's a concept.
所以如果我拿掉引号，剩下的就只是这个词而不指示一个概念了。
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So, if something cycles through five wavelengths in a single second, we would just say that the frequency of that wave is five per second.
如果一个东西在一秒,内经历了五个波长，我们就说这个波的,频率是每秒5次。
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If you put your fingers between the plastic opening at the bottom, and here's where you gotta watch out for the spring, pull the thing apart and that's it.
如果你把手指放到,底部的缝隙中间，这里你需要小心，你剥开就会发现这个了。
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Suppose you could find 10,000 independent assets, then you could drive the uncertainty about the portfolio practically to 0.
假设你能找到一万项相互独立的资产，那么你就可以将这个投资组合的风险,降到几乎为零。
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You'll know what sort of thing this is and you'll be able to examine it in that light.
你知道这是什么,你就能从这个角度去审视它了。
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OK. Can we sort it in linear time? Hmmm.
恩，这个就不那么显然了。
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And I know that often for our students when I raised this notion with them.
我是在和同学们就这个问题交流时,意识到这一点的。
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So we'll start it at pitch there and I'll give you two and then we'll sing "La" And we will exemplify monophonic texture.
那我们就从这个音高开始,我喊到二然后我们一起唱,啦,我们来演示一下单音织体
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We have to add it all up so it's not just numbers, three against one; it's also all of those people at home.
得把这些加起来考虑,所以就不只是这个数字，三比一;,还要加上这三人的家人。
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On the top sector they were gonna be starting when they came on the campus.
一到学校,他们就开始了这个过程。
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And when we put together the class, this is precisely what we thought about: how you affect change and those people whom you change will hopefully influence others and so on and so on.
我们在组织课堂时，心中就有这个想法：,你如何影响改变，那些被你改变的人,希望能进一步影响其他人等等。
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In the classroom, you use this symbol.
而在课堂上 就用这个符号
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because we have another handicap like language is like burden that people from here don't really have, so
因为我们也有语言上的障碍，这里的人就没有这个负担。
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The Elder Brother is issuing this theory without any consideration, - obviously, whatsoever of earthly reality and we're shocked by -- I don't know how else to put it.
大哥没有经过任何思考就提出了这个理论，显然，尘世间的任何事实都让我们震惊了-,我不知道怎么去说。
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However, if there are repeated, unexcused absences, there will be an adjustment in the grade calculation, and it will be worth twenty to twenty-five percent of your grade, and it will be a negative grade also.
然而，如果有反复的没有理由的缺勤，就会对这个百分比做些调整，出勤率就会占到你分数的百分之二十到二十五，当然也会是负面的评分。
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But what's interesting about that is why this particular village became the symbol for martyrdom in France. Why?
但关键是为什么就这个村子,成了法国殉难的象征,为什么
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Now remember, we went through before how it's a state function but to calculate it, you'd need to find a reversible path, along which you can figure this out.
请记住，我们不需要知道它是怎样的一个态函数,只计算就可以了，你需要找到一条可逆路径，沿着这条路径就能算得这个结果。
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And then, you start thinking, "Well, I could really start doing this if only X and if I had this person or if this technology existed or if this happened or this happened."
之后，你会开始思考，恩，只要某项条件成熟了，只要我认识这个人,或是如果这个技术存在,或是如果这个或那个发生了，我就能开始落实这个点子了“
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Now we've set it up as a matrix, let's try again that question I asked before.
现在我们就把这个矩阵写好了,我们现在来回答之前的问题
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We'll talk more about promoters as they go on, for now let's just assume that we have a promoter that works in this particular cell.
我们以后还会谈到更多有关启动子的知识,而现在就假设这个,特定的宿主细胞里有个启动子
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I don't know a word of Russian, and so I actually try to avoid using the rather well-known Russian equivalents for these terms because I feel like an idiot.
我不懂俄语，所以我不用俄语读,而就用这个英语中通行的俄语替代词,这样感觉是不是挺傻的。
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What's particularly interesting is you get this effect easily with undergraduates but you also get it with four-year-olds and with monkeys.
但这个实验有一个很有趣的地方,在本科生中做这个实验，很容易就得出这个结果,而在四岁小孩和猴子中，同样能得到这个结果。
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Somebody else might say, well I want to just hold this point, I want to hold the tangency portfolio.
而另外的某些人可能会说，我就想按这个点的比例来持有投资，我想持有切线投资组合。
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Notice in this program I have not checked whether or not the user actually provided input.
就拿这个程序说事吧，我们根本没有检查,用户到底有没有输入。
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But, of course, we want to go all the way to distance, so we take the second derivative and we have this equation for force here.
当然我们最后想要的是距离,所以我们取二阶微,分就有这个式子。
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I got interested in that particular question because one of our former PHD students who is now at Texas A&M, asked me to give a lecture on that subject in honor of some anniversary of the universities.
我对这个问题也感兴趣,因为我们学校的一名博士毕业生,现在在德克萨斯农工大学，请我就这个话题演讲,当时是大学的周年纪念日。
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You can take one full circle divide by the time and you will get this.
你可以先转一整圈,再除以时间就得到这个
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