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Thank you. I mean, I know I sort of said it to you, but you're right. It's logarithmic, right?
但你们是正确的，是对数级的,它有这样的效率是因为他每次能把问题减半？
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When the store, um, when the clothes get to the store, I put it out,
每当商店，每次有新货到店，我就负责摆放，
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In every context in which I place a body, I'll have to know what are the forces acting on it.
每次我拿一个物体举例子时,我就得知道有哪些力作用在物体上
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Remember, every time we have two electrons that are being shared, that's a single bond.
还记得，每次我们有两个电子被共用，我们就有了一个单键。
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Whenever I think about how to build an interesting program, and I hope whenever you think about it, the first thing I think about is, what are the classes I might want to have, what are the types?
无论我何时,去想怎样建立一个有趣的程序，你们每次做这种思考的时候，你们想得第一件事，就是我应该要有什么类呢，它们是什么类型的呢？
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So I think that's enough, you can follow along with the syllabus and see sort of what the topics are each week, what the reading assignment is to do before the lecture in order to get the most out of the lecture.
我觉得说的差不多了,你们可以根据课程大纲,来看每周会将什么内容,在每次课之前看看阅读任务是什么,这样才能在课上有更多收获
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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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so every time there's a market, Monday, Wednesday, Friday, Saturday, I come here.
每次有市集的时候，周一，周三，周五，周六，我都会来。
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How many people know that three times a week physical exercise,30 minutes each time has the same effect ? as our most powerful psychiatric drugs?
多少人知道，每周三次,体育锻炼，每次三十分钟，与最强劲的精神药物,有同样的效果？
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If every time you got a new memory, you had a new personality, and the personality theory said having the very same personality was the key to survival that none of us survive more than a few seconds.
如果每次有了新记忆，有了新的人格特性，根据人格论,只有同样的人格才是活下去的关键,那么我们只能活几秒钟了。
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And I guarantee you if you do those three things throughout the course that you'll do well in the course and I've said this almost every time I've given the course and nobody has ever told me that I'm wrong.
如果你们做到了这三点,我保证你们会在这门课中取得好成绩,每次开课前我都会这么给学生说,从来没有人告诉我这个说法有问题
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But you don't want to have to run it a long time, every time you have a hypothesis.
但是你不必每次有一个假设，都要去运行很长时间。
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There we go. Now if I do this, an infinite number of times, we should get roughly 50/50, but now we have the ability to do things only once in awhile.
开始，如果我们，不停地按这个按钮，我们大致会有一半的机会听到猫叫，但是我们每次只有一次按按钮的机会。
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We don't always want to go and solve the Schrodinger equation, and in fact, once we start talking about molecules, I can imagine none of you, as much as you love math or physics, want to be trying to solve this Schrodinger equation in that case either. So, what Lewis structures allow us to do is over 90% of the time be correct in terms of figuring out what the electron configuration is.
我们并不想每次都去解薛定谔方程，而且实际上，一旦我们开始讨论分子，我可以想象,你们中没有一个人，不管你有多么热爱数学或物理，会想去解这种情况下的薛定谔方程,总之，路易斯结构能让我们,有超过，90%，的概率判断出正确的,电子排布。
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And obviously, that ought to involve the variable in some way, or it's not going to make a lot of sense, so this includes the variable, since that's the thing that's changing.
很明显，这跟计数器的变量有某种关系,否则的话就没多大意义了,因此这跟计数器有关，因为它正是每次循环改变的东西。
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Not to harp on the mathematical features of this, but cubing, AX*X*X you know, if you're starting to do AX star, X star, X, every time you want to cube some value in a program, it just feels like this is going to get a little messy looking, if nothing else.
不要总是说这个的数学特性，但是体积，你们懂的，如果你开始做，在一个程序中，每次你想算几个数值的体积，感觉它就变得,有一点凌乱的，如果没有其他的。
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If you start with only one, you have two pieces of DNA, then you'll get 2 to the Nth fragments after N cycles because each cycle you're doubling the number.
如果你从仅仅一个DNA开始,你有两条DNA链,经过N次循环后,就得到二的N次方个DNA片段,因为每次循环都使其数量翻倍
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