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And, I will go through the actual line by line derivation not because I want to do derivations in class.
我们要仔细讨论实际的线,和推导出来的线,并不是我想在这节课做推导。
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I took that concept and eventually in 2000 realized that I had this beautiful picture of the city but it was all verticals.
我接受了这个概念,最终在2000年我意识到,我虽然勾画出了这个城市的美丽图景,但它都是垂直的线。
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The blind Fury here is the mythological figure Atropos; this is the Fate that cuts the slender thread by which our lives dangle.
这里的暴怒是指神话人物阿特洛波斯;,命运剪断了维系生命的细线。
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We have above the line a concept and we have below the line a sound image.
这条线的上面是一个概念,下面是声音所代表的图像。
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We might be asked, for example, to determine what all of the different elements could be that would produce a spectrum that gave us 5 different lines.
那么我们会问，比如，有哪些不同的元素可以产生,一个有五条分立谱线的光谱？
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If I had taken as my interpolation scheme, my white curve here, I could go to infinity and have the equivalent of absolute zero being at infinity, minus infinity.
要注意，如果我们采用，像图中白线这样的插值方案的话,我就可以一直降温下去,相应的绝对零度点。
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That naturally hits monoline insurance companies more than multiline insurance companies because they are more specialized and more vulnerable.
它对单线保险公司的冲击,自然要大于多线保险公司,因为它们的业务更单一也更容易受到影响
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And then in the next page he's going to take that same rising line and assign it to the basses.
然后在下一页里,他将把同样的上行曲调线,安排在低音部
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I go up to the green line and go across and this tells me the best response for Firm 2.
根据这条绿线的对应法则,就可以对应出公司2的最佳对策
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These anachronisms and confused chronologies in the patriarchal stories are the rule rather than the exception in their view, and they are evidence of a very late date of composition.
在他们看来，这些年代错误和混乱的时间线,在族长故事中是普遍现象而不是例外，明显是十分近代的作品。
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And, furthermore, that the intensity of the splitting was proportional to the intensity of the applied magnetic field.
并且谱线的分裂程度,和实验中所使用的磁场强度,是成比例的。
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The theory of the forms, the image of the divided line and so on and so on.
形式的理论，分隔线的形象等等。
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You are not thinking about the ink, the glue, the stitches and the paper, you are entering the author' s world, and the physical object just goes away.
你所想的并不是,书上的墨迹，胶水，装订线或是纸张，而是进入了作者的精神世界，一切物质的东西已经离你远去。
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I could take and draw a line continually down the molecule where my finger was touching; my finger would be touching a phosphate here, the 5' carbon, the 4' carbon, the 3' carbon, and the next phosphate.
我可以画一条这样的线,沿着这个分子不断向下延伸到我指的地方,我指的这一点代表着磷酸基,5' 碳部位,4'碳部位,3' 碳以及下一个磷酸基
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All right, good. So the pink line is actually going to get steeper, but I know what you mean.
说得很好,但粉色的线会变陡峭,我理解你说的意思了
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Any one of these different elements could actually produce a photoelectron spectroscopy spectrum that has five distinct lines.
其中任何一种元素,都可能产生,有五条分立谱线的光电子能谱。
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I could take an unknown gas and put it in and measure it and then say, wow, those are the lines that are characteristic of sodium.
我取一种未知气体，把它放到管里,然后检测它，哇，这些线是钠的特征。
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I missed by a mile, which is a problem in drawing my lines, but never mind.
我画得偏差太大了,应该是线的问题,但这无所谓了
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All right, so we can, in fact, observe individual lines.
好的，事实上我们可以看单个的谱线。
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The budget constraint is going to have a different slope to it and preferences will be different over this horizon between consumption then and consumption now.
预算约束线的斜率会有所不同,人们对即时消费和延期消费的偏好,也会有所不同
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So, initially they came up with four lines and then eventually five and even six, and then they went back to five by the fifteenth century.
那么,他们最初提出的是四条线,但是最终却是五条线,甚至六条线,然后在十五世纪又回到了五条线
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Now there many ways I can connect these two points together. The simplest way is to draw a straight line. It's called the linear interpolation. My line is not so straight, right here. You could do a different kind of line.
最简单的办法是,像这样画一条直线,这叫线性插值,不过我的这条线画得不太直，你也可以用别的办法,比如一条抛物线。
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So that's why we're not seeing separate lines in this spectrum.
因此，我们在光谱中看不到,分立的谱线。
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The only other time we've seen a boom like this was right after World War II and that's shown by this line here; that wasn't as big.
我们可以看到,类似的繁荣,只在第二次世界大战之后出现过,就像这条线所显示的,这个增量不大
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That's the highest line and that line corresponds to me choosing Up.
也就是最高的那条线,即表示我选上的收益那条线
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You should see that the blue line is better than the pink line because, for any expected return, the blue line is to the left of the pink line, right?
可以看到蓝线比粉线好,原因是对于任意的预期收益率，蓝线都在粉线的左边，对吧？
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In that game, if you remember what the best responses looked like, they looked like this where this was the effort of Player 1; this was the effort of Player 2.
不知道你们还记不记得最佳对策是什么了,这条线代表参与人1的付出,这条代表参与人2的付出
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Where the green and the pink line intersect.
在绿色与粉色线的交点处
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In contrast, a multiline kind of insures itself.
相对的,多线公司的业务相当于能相互保险
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It turns out that we are far from the first people, although it felt exciting, we did not discover this for the first time here today. In fact, J.J. Balmer, JJ Balmer who was a school teacher in the 1800s, was the first to describe these lines that could be seen from hydrogen.
实际上，它第一次被发现已经是在很早之前了，虽然我们觉得很激动，但我们,并不是第一次发现这个的，事实上，一个19世纪的老师,是第一个在氢原子中发现这些谱线的人。
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