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Sorry, said that wrong, p1 radius 1 and angle 2, 2 radians is a little bit more than pi half.
而是半径和角度的表示，在这个例子中点，并不对应这个点,它实际上对应的是。
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Wow" is Dean's word. "Wow" is the kind of word that means nothing, but it suggests the immediacy of Dean's engagement.
哇是迪恩的话，哇这个词可以是没有意义的，但它表示了迪恩的直接参与。
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Come on, you know, representing sets of integers, this is pretty dumb. Suppose I want to have a set of characters. How could I do that?
你知道的，表示整数的集合,这好傻啊,假设我有一组字母的集合？
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So in the partnership game we put efforts on these axis and now I'm going to put quantities on these axis.
合伙人博弈中横轴表示付出的努力,现在横轴表示的是产量
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That's just the simple sequential sense of "first," the first that comes before second, third and fourth; but there's something more radical here than the ordinal or sequential sense of "first."
这只是“先“表示顺序的简单含义,先于第二，第三，第四的那个“先“，但这里,“先“除了表示顺序的意思外还有更激进的含义“
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But right now, what I want you to be thinking of a wave function as is just some representation of an electron.
但是现在，我想让你们,将波函数仅仅理解为,一个电子的表示方法。
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This just means hexadecimal notation, which we'll come back to before long so really it just means it's returning the 0 address zero.
这表示的是16进制,我们等下还会讨论，表示的是返回,地址。
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It has the function, in other words, of negating its own meaning in another semiotic system, in this case the semiotic system of the stoplight.
也就是说，他有这样那样的功能，在不同语义系统中表示的甚至完全相反，就像红灯表示的这些不同含义一样。
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The red line is the Halifax Home Price Index for greater London we're talking UK now.
红色线表示的是哈里法克斯伦敦住宅价格指数,现在说到了英国
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And this structure that I've depicted here using the X's and O's is called the Lewis structure.
我在这儿描述的结构,用X和O表示电子的方式叫做Lewis电子式。
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But still, it must be with his own consent, I.E. The consent of the majority, " giving it either by themselves, or through their representatives."
但是这仍须得到他自己的同意，即得到大多数的同意，由他们自己或选出的代表所表示的大多数同意“
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The most important vector is the position vector that tells you where the object is.
最重要的矢量是位置矢量,用来表示物体的位置
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Well, in music the most basic symbol for the beat is the quarter note.
音乐中表示拍的最基本符号是四分音符
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But,the history of Royalism is not--it goes beyond that, and there was a strong Royalist movement, as I've already suggested, and it wasn't just people looking backwards.
但是君主主义者们克服了这点,发起了一场强有力的保皇主义运动,就如我之前表示的,这不仅仅是人们在追溯过去
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They're colored different here to indicate one new difference that you know about now, and that's that there is an orientation, there's an up and down on the chain.
这里被涂成不同的颜色,来表示另一个不同之处,它是有方向的,表示双链一条向上,一条向下
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So using stroke as the outcome here, what you see is that people with the metabolic syndrome, the red bar, compared to the people without it, the yellow bar, have about twice the amount of risk.
首先是中风,我们可以看到,红柱子表示的患有代谢综合征的人,比黄柱子表示的没患有代谢综合征的人,中风的风险高两倍
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You could use a sign language thing for "Drink" that looks sort of like the act of drinking but you can't use a sign language word for "Country" that looks like a country, or for "Idea" that looks like an idea.
你可以用看起来像喝这个动作的手语,来表示"喝",但你无法用看起来像国家的手语,来表示"国家",或用看起来像想法的手语来表示"想法"
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Now, what did I want to do? I wanted to check membership. I want to do search. Well that's simple. Given that representation and some value, I just say gee is it there?
现在，我需要做什么？,我要做成员检查，我要做查找,这就很简单了，给了即定的表示和一些值,我只需要说喂在那儿吗？
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And the problem is, that we want to build this abstract data type, but we'd like to basically know what kind of object is it, and what functions actually belong to it, how do we use them?
然后我对它们运行了这个方法，就是这一小段代码这个方法,这有意义么？,当然没有了，对不对？,因为你知道，当你把两个极坐标，表示的点进行相加运算的时候？
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It's just reminiscent of a previous program 9 9 9 or a previous function the number 9, 9, 9 so what does that really mean?
它提醒之前的程序,或者之前的函数，那个数字，那其实表示的是什么呢？
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So if we want to put that in chemical terms, we want to make sure we put these in brackets here, and remember, this is the resonance arrow, it's not a reaction arrow, it's a resonance arrow, so make sure you mark it up correctly like that.
那么如果我们把它类比到化学中来，我们要确保它们都放在括号里，而且要记住，这是一个表示共振态的箭头，而不是表示化学反应的，它是一个表示共振态的箭头，因此请务必像这样正确地标记它。
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On the vertical axis I'll put two vertical axes in, just for the sake of things on the vertical axis I'll put my expected payoffs.
坐标系的纵轴,由于种种原因,我花了两个纵轴,纵轴表示我的预期收益
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It does represent the sum, in the sense that if i gave you four bucks and I gave you five bucks, I gave you effectively nine.
它表示的就是这两个矢量的和,好比是如果我给了你四美元,然后再给你五美元,我其实给了你九美元
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So I indicated the molecule.
所以我强调这种分子的表示法。
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So it's the affinity it has for electrons, it's how much it likes to get an electron.
因此，它表示的是对电子的亲和力，即有多么希望得到一个电子。
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same point Cartesian to have 1 representation for a point that supports different ways of getting information out, but has gathered within it, a method or a function for dealing with things like how do I know if it's the same point or not.
还有,这是一个比较极坐标的点,是否相同的不同的方法，但是这开始成了一个麻烦事儿了，我真正想要做的事情是,创建一个能支持不同的方式,输出已经收集的信息的点的表示。
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I can try other portfolios; this one right here--I'm pointing to a point on the pink line-- that point right there, 50% stocks, 50% bonds.
还可以尝试其它组合;,这一点，粉色曲线上我指的这一点-,表示50%的股票，50%的债券。
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It's three different second derivatives in terms of the three different parameters.
它是用三个不同常数表示的,三个不同的二阶导数。
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Well, it means something a little different conceptually.
好的，它表示的一个不一样的东西。
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This is Y today and this is Y next period.
这点表示今天的收入,这点表示下一时间段的收入
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