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OK. One of the other things you're going to see is that some of the operators have odd meanings.
好，你们会学会的另外一件事情,是一些操作符,有很奇怪的含义。
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But I think you have another 40% or 50% that gets its information through television, which is very bad.
但是我想还有另外的40%或50%的人通过电视获取信息，这很糟糕。
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And also in terms of people saying, Well, you know what, that's all well and good because this is really fundamentally a Christian nation.
另外一些人说，现在这样很好,因为美国从根本讲，是一个信仰基督教的国家。
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And, by the way, this business on working on every problem is important because I have seen some people who start working on number one, but that is not their strong suit.
另外，解决每个问题的事情,是很重要的,因为我看到一些人,从第一个开始工作，但这不是他们的强项。
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PROFESSOR 2: -- other, it could have said - who or zort or -- PROFESSOR: Yeah, sorry, that was part of the question, I could have a picked foobar could put anything in here.
教授2：另外一个对象？,这可以说是其他对象或者-,教授：对，很抱歉，这是问题的一部分，我可以写一个,可以放进任何东西的代用符。
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But it's also important to understand what's in foods and that's why food labels are so important.
另外,了解食物里面有些什么也很重要,因此食品标签很有用
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If so, then it would show that that extra overlap in genes doesn't really matter And so, it would suggest a low role of heredity Are adopted children highly similar to ? their brothers and sisters?
如果是这样，那就表明另外的的基因重叠,是没什么影响的,也就是说遗传的影响也很小,收养的儿童,和他们的兄弟姐妹会很相似吗？
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And besides that, lest that not be enough to make sure everyone can succeed in a course like this, we have a very diligent teaching fellow who not only likes to scribe the courses lectures.
另外，为了让大家都能,学好这门课，我们有一个很勤奋的助教,他很乐意记录下课程教案。
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But the regional dimension is one of them.
另外，但地域特点也很重要。
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One other very important thing to understand about this defensive problem and this is one of the debatable issues between the old guard and the traditional interpretation; I'm still giving you the traditional view.
对于防御的问题还有另外一个很重要的因素,这也是老顽固们对传统观点,争论的一个话题,我还是采用传统观点的说法
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It's always irrational as well, in addition.
另外这也是很荒谬的。
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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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All right. So those of you that are raising your hand, and some aren't raising their hands but that's okay, those of you almost unanimously say that the Beethoven Fifth Symphony sounds somewhat ominous to us, somewhat fateful to us, and the Beethoven Ninth Symphony conversely has a different sort of feel to it.
你们其中的有些人举起了手,其他的没有举,其实都很好,你们当中的几乎一致认定,贝多芬第五交响乐,听起来是对宿命的激烈的抗争,然而贝多芬第九交响曲相反的,采用了另外的一种不同的方式
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it's very hard for the professors to schedule a lot of individual time for the people who can't make it.
教授很难为那些没法按时考试的考生另外安排时间。
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The other thing that we looked at, which I want to stress again and I'll stress it as many times as I can fit it into lecture, because this is something that confuses students when they're trying to identify, for example, different nodes or areas of no probability.
另外一个我们要考虑的事情，我想再强调一次,而且我以后会在课上强调很多次，因为它很容易让人混淆,这就是当你们在确认，节点或者零概率点时候。
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And it turned out that another, not quite as deadly, but still very serious disease called syphilis was also common in this part of the world at that time.
现在已知另外一种疾病,它并不完全致命但也很严重,它叫梅毒,在那时的一些地方也很常见
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For example, there was Nader in the election in well I guess he was there in the other one as well but he was particularly there in 2000.
例如,纳德也参与到了那次大选,我猜他也在另外一场选举中,但很显然他也参加了2000年的大选
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The other thing I have down is population, although the population of the U.S. has been pretty steady -that pink line looks awfully steady -and I have interest rates.
我还做了另外一个数据,就是人口数,而美国的人口数量一直都很平稳,粉色的那条线看起来非常平稳,我还做了利率的数据
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But they also serve another very important function, and that was the formation and maintenance of a differentiated ethnic identity or in Priestly parlance, the formation and maintenance of a holy peoples separated out from other nations by rules that mark her as God's people.
但是它们也有另外一个很重要的功能，这个功能形成并维护了,一个分化的种族身份，或者用神职人员的说法，这些规则促使了神圣民族的形成和保持,这个民族和其他的城邦区别开来，被标记为上帝的子民。
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Plus, there's a lot more bike lanes than there used to be, so that helps.
另外，现在的自行车道也比以前多了很多，这个也很有用。
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And then other people are really excited because it's a once-in-a-lifetime opportunity
而另外一些人真的很兴奋，因为这是一个一生只有一次的机会，
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I don't have as heavy teaching loads, which makes it possible for me to write, as some colleagues at other schools where the teaching load is so heavy that it's very hard to get writing done.
教学任务不太重，这就使得我有时间进行写作，而另外一些大学,教学任务可能很重,那样的话，就没有时间去写作。
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Then in addition, one of the other teaching fellows here, Ashley Gearhardt--Ashley would you mind standing up-- is very active in this research.
另外,这还有一个助教,艾希莉· 吉尔哈特,能起来下吗,她在这个领域很活跃
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The grades for the course will be assigned roughly, and I use the word roughly because we reserve the right to move these numbers around a little bit, but basically in the following percentages: 55% of your grade comes from the problem sets, the other 45% come from the quizzes.
课程的评分将会很严格，我用严格这个词儿,是因为我们保留,微调分数的权利，但是基本在以下范围内：,55%的分数来自于问题的提出，另外45%来自于测验。
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Now. You might look at that and say, well that's just a lot like what we had over here Right? We had some additive constant plus a simpler version of the same problem reduced in size by 1.
现在你可能会看着这个说，这很像我们以前做过的,对不对？我们用一些附加的常量,加上问题的另外一个规模缩小了1的,简化版本来代替这个问题本身。
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A very good example of that is what I've been telling you; that's really what happens. And here's another thing, if you go to the end of the Greek story, when you think about political theory, there's Plato.
我刚刚讲的就是一个很好的例子,确有其事,还有另外一个例子,当我们走到希腊神话描述的那个时代的尽头,当你思考政治学说时,柏拉图会给予你启示
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And I'm going to do this because, as Professor Guttag noticed to me, students seem reluctant to do this.
另外一件十分有用的事情就是去模拟代码，我之所以要这么做，是因为Guttag教授，提醒过我，说学生们不是很情愿来做这个。
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These other two, primaries and higher dimensions, they're both great points.
另外两个约束条件,初选和多维度,这二者都是很有现实意义的
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It's like you have a social security number or other ID number, which positively--there might be another person with the same name as you, God forbid, but you at least have your own number, which is guaranteed to be unique to you.
就好比社保号,或者其他身份号码,很有可能,有另外一个人,和你重名,希望这不要发生,但你至少有唯一的识别号,用于区分自己和他人
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for the most part, if stocks have done much better if you've bought them at a point that looks cheap on that graph than one that looks expensive.
如果你做得很糟糕的话-多半情况下，you've，done，poorly，if—,如果你通过市场曲线图,在看上去比另外一个时间点便宜的时候买进它们,而股票又表现得非常好。
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