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Characters are simple. Suppose you want to represent sets of strings, well you basically just generalize the hash function.
字母是是很简单的,如果你想表示一组字符串,基本上你要做的就是归纳出哈希函数。
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You can use it to show that you have or do not have, posses or do not possess, something tangible or intangible.
你可以用它来表示你有或者没有的东西，不管是这些东西是有形还是无形，都可以通用。
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This means you can vary the neutron number without changing chemical identity, because chemical identity is fixed by the proton.
这表示你可以改变中子数,而不会改变它的化学特性，因为化学特性是由质子决定的。
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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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When you're driving in your car, there's a needle and the needle says 60; that's your velocity at this instant.
当你在开车时,有一根指针指着60,表示你这个时刻的速度
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You could also pick a point down here, which is more than 100% bonds-- how would you do that?
你也可能选择一个下面的点，表示超过100%，的债券-,这是如何做到的呢？
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And the idea is that when you do these Lewis dot structures, we're representing electrons with dots, which we'll see in a minute, and each dot is going to represent a valence electron.
而当你遇到这些路易斯点结构时，我们会将电子用点来表示，我们马上就会看到，每个点都代表了一个价电子。
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There's a line that I'm going to be developing, pushing, if you will, or defending in this class.
我用一条线来表示，如果你愿意推动或者保护这个课题。
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So the idea here is shooting to the left if you're right footed is the natural direction, so left here means the natural direction.
就是说如果你习惯用右脚射门,那么你从左路攻门就是自然方向,在这里左路表示自然方向
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So, we take our two equilibrium states, and you just put an equal sign between them, and the equal sign means go from one to the other.
我们写出两个平衡态，然后你只需要在它们之间放一个等号，等号表示,从一个过渡到另一个。
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Or if you want to tolerate negative numbers, you've got to sacrifice something.
如果你想也用来表示负数呢？,你不得不拿出一部分来表示。
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The grains in the orange side you're supposed to be eating more of those than what might be a smaller slice of the pie here, or the triangle.
相比在这个图中用小块表示的食物种类,用橘黄色表示的谷物类食物是你该多吃的
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You might choose to use a word for "Dog" as "Woof woof" because it sounds like a dog but you can't use a word for "Country" that sounds like a country.
你可以用"汪汪"这个词来表示"狗",因为它听起来像只狗,但你却无法使用一个听起来像国家的词,来表示"国家"
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You can use this to express possession or a lack of possession of anything. Tangible or intangible.
你可以用它来表示你有或没有什么东西。有形与无形的事物都可以通用。
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And I mean, at a certain point, you have to make a decision and I'm sorry for the minority but sometimes, it's for the general, for the greater good.
有时，你必须做出选择,我对少数表示遗憾,但有时，这是牺牲小我，成全大我。
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And your friend says, later that day strangely, "I really want to go to this restaurant."
后来，你的朋友却奇怪地表示，“我想去那个餐厅。”
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you could leave your response to the invitation slightly open-ended by saying you're not sure.
你可以表示你不确定，开放性地回复这个邀请。
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So usually, it conveys a negative meaning, meaning that you don't want to do something
所以，通常它传达着一种负面的意思，表示你已经不想再做某事。
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that something you that you either did or did not do but should have done.
为一些你之前做过的或是本该做却没有做的事情表示遗憾。
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This is a great pattern that you can use to express a level of certainty,
这是一个很棒的句型，你可以用它来表示某种程度的肯定，
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Right, and just to get a sense of this, let's look at a simple little example, so on your hand-out, you'll see I've got a little piece of code that says assuming I've got one of these points, I want to do things with it, for example I might want to add them together.
这些数组中的一个，你怎么能够知道，它是哪种类型的呢？,你怎么知道它是以笛卡尔坐标,表示的还是以极坐标,形式表示的呢？,你没有可以用来区分的东西，你没有说明这种信息,聚集实际上的意义。
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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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Well, that suggests that you were not using memory correctly and so we'll tease apart today exactly what it means to navigate inside of a computer by way of memory and we'll also touch on over time what are some of the evils that might happen.
嗯，那表示你没有正确地使用内存,我们将详细讨论,怎样操纵计算机的内存,以后，我们还将提及,可能发生的有害的操作。
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Croesus asked Solon to tell him who is the happiest, the most fortunate--both of those things contained in the words he uses--that he had ever seen.
克罗伊斯问梭伦,谁是你见过的,最幸福,最幸运的人,他用了一个词来表示这两重意思
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That means you'd have a leveraged portfolio, you would be borrowing.
那表示你有一个杠杆化的投资组合，你可能透支了。
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If she's got a pair of numbers and you got a pair of numbers, the new numbers are called the primed numbers and you want to write them in terms of yours.
如果她有一组系数 你也有一组系数,新的系数被称作带撇的系数,你想用自己的形式来表示它们
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So the strategy choices, we're not going to do it in hours, let's just normalize and regard these choices as living in 0 to 4, and you can choose any number of hours between 0 and 4.
我们用小时数来表示策略吧,用0到4的数字来标记这些策略,你可以从0到4中任选工作的小时数
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If you look up really close, there is the elementary charge e.There is the mass of the electron.
如果你仔细找的话，会找到e表示的元电荷,也能找到电子的质量。
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In fact it gives me back, now I hate this, it's actually a list it's not a tuple. But for now think of it as giving you back an explicit version of that representation of all those elements.
它实际上是一个数组而不是一个元组，但是现在你们可以把它认为,是明确的这些,元素的一个表示,你会在接下来的一些课程中看到。
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