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This is Young-Hae Chang Heavy Industries, which is a collaboration of an American man and a Korean woman who create online digital artworks.
这个是由，张海英重工业，制作的，这是一个美国人和,一个韩国女人一起合作的在线数字艺术的组合。
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Alright, next thing I want to do is to define the vector that plays the role of the number 0.
接下来我想做的是定义一个矢量,它相当于数字0
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I just want to remind you, if I wanted to, for example, type in an expression like that, notice the syntactical form, it's an expression, a number, followed by an operand, followed by another expression.
我想要提醒下大家，如果你想要，例如，输入一个这样的表达式，注意语法形式，这是个表达式，一个数字，后面是一个运算对象，后面是另外一个表达式。
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In a moment I'm going to ask you to humor us and stand up but not just yet; and then you're going to each take on the number 1-- think to yourself I am number 1.
待会儿我让大家站起来,一起娱乐一下,不过不是现在,一会儿你们每人都代表一个数字1，心里默想，“我是1号“
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The number three is not a physical object, perfect roundness is not a physical object, perfect goodness is not a physical object.
数字三不是一个物理实体,正圆不是一个物理实体,真正的善良不是一个物理实体
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Another way to say that it's going to be less, so you don't get confused with that the fact this is in the numerator here, there is that negative sign so it's less energy but it's a bigger negative number that gives us that less energy there.
另一个方式去说它将会变得很低实用，你们不用在这里的计算器的事实感到迷惑,这里有一个负号实用，它是更少的能量,但它是一个更大的数字,这里了它给了我们更少的能量。
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This is in a pretty small it's bigger than Belgium, but this is a pretty small territory.
这是仍然是一个相当小的数字,只比比利时稍大一点,不过比利时的领土也是很小的
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Well, I don't want to arbitrarily calculate a figure, ... I mean, right now. I think that... You want to take it under advisement?
我不想武断地算出一个数字，我是指马上就算出，我觉得。,你想要深思熟虑之后再决定？
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It is always a number that lies between zero and one, or between 0% and 100%.
概率一定是一个在0和1之间的数字,或者说0%和100%之间
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It's a number. Measure it. It's a number.
它是一个数字。
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And, it's a very high number.
它是一个很大的数字。
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So in that numbers game, the game when all of you wrote down a number and handed it in at the end of last time, the players were who? The players were you. You'all were the players.
在那个数字游戏中,你们每个人都写下了一个数字,然后在下课前交了上来,谁是参与人呢,你们就是参与人
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For instance in the past, we had that silly little program for computing the average of some quizzes and it was actually a pretty bad implementation because I had essentially hard coded in the number of quizzes.
比如在以前，我们做了一个,计算平均数的程序,这是一个相当挫的实现,因为我硬编码了测试的数字。
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So if in fact I wanted to make sure this was a number, I should have done something like either try and convert it to a number, which of course failed here, or put in a check to say where it is.
因此实际上如果我想确保,这是一个数字的话，我们的课程上的代码,在这里失败了，你或许应该在这里，放一个检查的东西。
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But we're going to see, very shortly, that in fact those collections could be arbitrary.
是一个整数的序列，我们可以认为它是按照数字依次来的。
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Somewhere else in memory but it's a different number hence it's a different arrow.
内存中的其他地方,但是它是一个不同的数字，因此它是一个不同的箭头。
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That's a phenomenal amount, and they keep going over and over again.
这是一个相当惊人的数字,并且它还在不断增加
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Why is it a high number?
为什么是一个很大的数字？
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So, let's take a look here at an example of an energy diagram for the hydrogen atom, and we can also look at a energy diagram for a multi-electron atom, and this is just a generic one here, so I haven't actually listed energy numbers, but I want you to see the trend.
所以让我们来看看,一个例子氢原子的能量图，我们也可看看一个,多电子原子的能量图，这是一个普通的图谱，我没有列出能量的数字，但是我想让你们看这个趋势。
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You spin this big wheel and it rotates for a while and then it stops at one number, but obviously a random number, because this wheel of fortune had all the numbers from zero to one hundred.
你转动那个大轮盘,它会旋转一会儿,最后停在一个数字上,显然是一个随机数,因为幸运轮盘可以指向,0到100的的任何数
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So it doesn't make sense to just use a number 'cause you wantthis character to collect something from here or here,or there.
仅仅使用一个数字到处去收集,是没有意义的，因为你想要这个东西,来收集这里的还有那儿的信息。
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The answer was, find a mathematical expression depending on the number of inputs.
很不错，答案是，找到一个通过输入数字,计算出来的数字表达式。
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So the problem I want to do-- there are many things you could do but I just picked one, and this is the one with round numbers, so I can do it without a calculator.
我想讲的这道题,类似的题目很多,但我就选了其中一个,这道题涉及的数字都是整数,所以我不需要计算器
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It's a secret number so that if Julius Caesar scrambled his message with the key 13, well, then the recipient had better know what that number is or realistically, -- and this is why it's kind of hard to buy -- into some of these age old algorithms, -- what would an alternative approach be to figuring out Julius Caesar's messages to his generals if he didn't know that secret number was 13?
它是一个机密的数字，以至于,如果凯撒大帝使用密钥13加密了它的消息，然后接收者最好知道那个数字是什么,实际上--这就是为什么很难,破解这些古老的算法-,有什么变换方法使凯撒大帝的将军,可以解密凯撒大帝的消息，如果他不知道,那个机密数字是13呢？
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Even though my statement said enter a number, in particular, raw input here simply takes in a set of characters and treats it as a string.
即使我的陈述说的是应该输入一个数字，实际上，这里的原始输入会被当做一个字符,的集合来提取并被当做一个字符串来对待。
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If you give me a number and a string, I'm going to concatenate them together, it's really different operations, but nonetheless, it's what it's going to do.
如果给的输入是一个数字和一个字符串，我将会把它们连接在一起，这实在是不正确的操作，但是无论如何，它就是会去这么做。
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Somehow I've missed getting the health, but that would be another big insurance.
遗憾的是,我忘了查健康保险公司的数据了,不过那必将是另外一个巨额数字
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It's not just a number, it's any expression.
这可以不是一个数字，可以是任意表达式。
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So, for the most part any time we talk about or draw pointers an arrow suffices, which really 71 in there is a number like 71, which is the literal byte that the F is actually in in RAM, but frankly who cares?
所以，每次我们讨论,或者用箭头表示指针,在指针里面有一个数字，如,那是F在RAM中的字节，但是谁在乎它呢？
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