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So the first step to doing that is I want to just generalize our results so far for a Carnot cycle.
第一步,首先来推广一下,卡诺循环的结果。
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We can think in terms of repetition, obviously, as the delay that sets in between an origin and an end.
我们可以想想看这里面的重复，很明显，重复性的情节将起因和结果隔开来。
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And that's what led us to a number of results to determine what quantities we even need to be looking at.
这就要求我们考察一系列结果,然后决定到底需要计算什么物理量,来找出。
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Let's test it in all possible combinations of x and y and see if we get the right answer.
来测试并看看,返回的结果正确不正确。
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You can't know just by looking at a pattern or a distribution or result whether it's just or unjust.
你不能仅凭分配格局,或分配结果,来判断其是否公平。
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So I mean, we tried to be as academic about it as possible in trying to think rigorously through the different results that will guide if we go to different directions.
因此，我们一直尝试,以更为学术的姿态,更为严谨的态度来思考,不同的方式,可能产生的不同结果。
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So it turns out that he could have picked anything to explain this, and hopefully done out the calculation, and we'll do this ourselves.
结果是他可能用任何事情,来解释这个说法，有希望完成这个计算，而且我们将自己做这件事。
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There it is. He used the prism spectrograph to analyze his results. So what do we have here?
在这里，他用了棱镜分光图来分析他的结果,得到些什么呢？
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You had to choose grades, so you had to choose Alpha and Beta, and this table told us what outcome would arise.
大家通过选择α和β来确定各自的成绩,这个表格列出了可能的结果
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He is not simply a teacher of political pragmatism, of how to adjust means to fit the ends.
他不只是一位,政治实用主义教师，仅懂得如何调整方式来获致结果。
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So, when you divide by the mass to get the acceleration, you get the same answer.
因此,当等号两边除以质量来求加速度时,结果是相同的
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Lots of agonizing went into what sort of a graphic to create to do this.
采取何种图表来表达这一结果令人头痛
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Is there any sort of an explanation for why God says you can't eat of this tree when he's given all of the fruit bearing trees... on what's going on and you're going to be reading a wonderful and interesting gnostic interpretation.
有没有一些解释来说明,为什么上帝要说你不能吃这棵树的果实,他给人类所有结果实的树。,对于你现在正在阅读和即将阅读的东西,有许多睿智有趣的解读。
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They just got back from World War II, they didn't want another war, they wanted to live a normal life, they wanted to have kids, and then this terrible war was coming, they thought.
人们刚从二战战场返回祖国,无心恋战,只想享受平凡生活,养儿育女,结果又来了一场恶战
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Now as an aside, turns out you can do more interesting formatting with printf, and this is useful even for ASCII art purposes.
说点题外话，结果你可以用printf来打印其他的格式,这是非常有用的,甚至是为了ASCII艺术的目的。
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Well, we play with it, the way I've been playing with it and compare the results to some set of real data.
好啦，我们来试一下我们之前也做过,就是用我们得到的结果和实际结果相对比。
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And it turns out that the Schrodinger equation is an equation of motion in which you're describing a particle by describing it as a wave.
结果是薛定谔方程,用描述粒子波动性的方式,来描述这个粒子。
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This has outcomes in it, it's an outcome matrix, but it isn't a game, because for a game we need to know payoffs.
这个游戏有不同的结果,我们用结果矩阵来表示,但是它不是一个博弈,因为我们必须知道收益才能进行博弈
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You can do that, but we like to get the answer the way this gentleman described it, because we like to get an answer more readily than by doing the mundane work.
你可以那样做,但是我们喜欢,用这位同学所说的方法来得到结果,因为我们喜欢更简洁地获得结果,而不是通过繁琐的计算
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And the electrical energy is the product of the charge on the electron times the voltage which is the potential difference through which the electron was accelerated. And so this allows me to, by increasing the voltage, increase the energy on the electron.
电子能量是电子上的电荷数,乘以电压的结果,这是种内在的差距,通过它电子运动得以加速，这也让我，通过增强电压，来增加电子能量。
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These are very interesting results, but sort of the bias that everything should be done with white males that existed for many years hid some of these really interesting and important interactions that otherwise people didn't know much about.
这都是些值得关注的结果,但多年来对白人男性的研究带来的偏见,掩盖了这些有趣而重要的相互关系,人们对此知道得不多
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And it's just gathering together the multiplications while counting down the exponent. And you can see it when we get down to the end test here, we're going to pop out of there and we're going to return the answer.
这个方法就是通过乘法,来一个一个的减小指数,可以看到,最后面的结果测试，我们会在这里退出,然后返回答案。
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And the third thing I need to decide is how do I combine? You know, point out to you in the binary search case, combination was trivial. The answer to the final search was just the answer all the way up.
第三个问题是我需要决定如何进行合并？,就你们所知的，在二分查找中所打印出来的,合并的过程是非常简单的,最后查询的结果,就是一路上来所以的结果。
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Do one comparison and return one of two possible orders on it, but I need to decide that.
虽然可以做一次比较,然后返回两个可能的顺序中的一个为结果，但是这需要我来做决定。
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How likely are all the inputs, are they all equally likely, or are they going to depend on other things? And that may depend on the user, so you can't kind of get at that.
他们大致相同么？,他们依赖于其他事情么？,输入也跟用户有关,因此你没法完全得出结果来。
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What I mean by that is, pick a simple set of values, and let's walk through it to see what happens. And this is useful because it's going to allow me to A make sure that I've got something that's going to terminate, it's going to let me make sure that in fact I'm doing the right kinds of updates.
原因你们知道的，好，模拟代码,我的意思就是,选出一系列的值来,然后模拟下代码的执行来看看结果,这很有用因为这让我确保我的程序在某个地方,可以终止，还会让我确保实际上我。
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Well, let's just run it and see what it does.
让我们来看看结果吧。
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Is to say, okay now let's try to enrich the model, to add more into the model, and see if you get a different result, and if so why?
好吧,那我们就来完善这个模型吧,给这个模型加入新的约束条件,看看会不会得到不同的结果,如果是再分析原因
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And then I'm going to do a similar thing to print things out. But would the solver do?
然后我还是一样要把结果输出来,那solver做的是什么呢？
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We knew this was trying to do squaring, so intellectually we know we can square -4, it ought to be 16, but what happens here?
我们知道程序是用来求平方数的，那么按理说我们可以来求-4的平方，也就是16，但是程序结果是怎么样的呢？
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