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Don't be intimidated. Even though it is apparently exponential, a lot of times you can actually solve it much, much faster.
别怕，即使它,很明显是指数型的，很多时候,你都能更快的解决它。
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Kant calls it "purposiveness"--that is to say, the way in which the thing is organized according to some sort of guiding pattern.
康德称之为，“合目的性“，也就是说，依据某种引导型结构,组织事物的方式。
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And in fact, if you look at the top figure it looks as exponential or, quadratic isn't even growing at all.
它看上去是指数型的,而幂次型的看上去,根本没有增长。
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We have 80% attendance and the assessment show students are actually doing better in terms of conceptual understanding than the normal lecture-station format.
我们获得了80%的出勤率,评估结果还表明,学生们在概念理解方面,做得更好了,跟普通的讲座-背诵型课比起来。
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Often, when I am teaching "creative writing", teaching "humility", a text which I appeal is actually a Zen text.
很多时候，在我教创作型写作，灌输谦逊的理念时，我经常谈到一步有关禅的作品。
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Expect the address of an int but here in the context of the function itself inside the curly braces, it means go to that address.
一个整型数的地址，但是在函数,大括号中的环境中，意思是定位到那个地址。
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All this stuff, hungering after pleasure, all this stuff gets in the way of thinking about the Platonic forms.
所有这些,还有对享乐的追求,所有这些都妨碍人们思考柏拉图式的型相
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And, in fact, if you take the jaws of a powerful magnet and pour liquid oxygen in between the jaws, the oxygen will stop and will sit in the jaws.
实际上，如果你用一块,具有较强磁力的颚型磁铁,然后把液氧倒在颚型磁铁的中间，氧气会停在颚型磁铁中。
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That's different when you have continuous values-- you don't have P because it's always zero.
和离散型随机变量的分布不同的是,连续型随机变量的分布中,某一点的概率值始终是零
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And it also brings us back to the lecture on behaviorism where we talked about classical conditioning and different theories of what people are afraid of.
这把我们带回到行为主义讲座中,我们谈论经典条件型反射,及人们害怕的不同理论。
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That's--that accounts for relatively small number of the overall cases of Type I Diabetes.
型糖尿病患者,占患者总人数的比率相对较小
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It's also a business that happens in real-time.
也是实干型的企业。
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Right? That would be an entirely different matter, wouldn't it, because you would have absolutely no idea whether the question was rhetorical or grammatical, right?
对吧，那将会是一个完全不同的情况，难道不是吗，因为你就会完全不知道,这个问句是修辞型的还是语法型的，对吧？
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And then, when those things cease to have the form they had, the parts get used for other purposes.
当物体不再以它们之前的型相存在之后,每个组成它的部件会有其他的用途
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He makes a perfectly plausible argument to the effect that the question is grammatical rather than rhetorical.
他提出了一个貌似非常可信的论据,大意是说这个问句是语法型的，而不是修辞型的。
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Well, if intuitively the problem is the result of dividing an int by an int, surely a solution is: "Don't do that," right?
好的，直观地看,如果那个问题的原因是因为整型数除以整型数的话,无疑有个解决方案是：“不要那样做“，是吗？
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I think that interspersed with many lectures, I personally think it's a much better way to teach than the much passive lectures that we can have now.
我觉得其中间隔,一些讲座，个人认为比我们现在的,这种被动的讲座型更好,它能更好地,教授学生。
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There's a tendency for people to say, oh this problem's exponential, I can't solve it.
人们往往会说，哦这是个指数型的问题我没法解决它。
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We have instead what's called a probability density when we have continuous random variables.
所以我们用概率密度的概念来描述,连续型随机变量的情况
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Since that which grasps the ideas or forms must be eternal or non-physical-- it's eternal, it's immortal.
同时能认知理念,或者型相的事物必须是永恒的或非现实的,所以灵魂是永恒的,不朽的
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Plato's idea is that if we start doing enough metaphysics, we can see there must be this realm of Platonic ideas, Platonic forms.
柏拉图的观点是,如果我们对形而上学有充分的研究,就必能看到柏拉图式的,理念或是型相组成的世界
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Well, I solve 2 or 3 exponential problems before breakfast every day. You know things like, how to find my way to the bathroom is inherently exponential, but I manage to solve it anyway.
你要知道如何找到,我的浴室就是一个，固有的指数型问题,但是我还是能解决它。
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So, a 32 bit of float gives you a bunch of precision.
2比特的浮点型数据精度更大。
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Actually we could prove inductively that it holds, but how do we know it stops?
这是一种归纳型的定义,事实上我们能够归纳性地证明它？
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On Thursday we'll do a more careful analysis and try and understand how I could have accomplished this seemingly magical task of solving an exponential problem so really quickly.
在周四的时候,我们会做进一步的分析,并且尝试理解我为什么,能如此快速的解决这种,看上去超复杂的指数型问题。
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Just take a look: if this is 9, 5 divided by 9 is always going to be 0 point something, and if you thus have two integers and you're rounding down, which is what happens when you do integral math we're using this operator, I'm going to get zero times whatever.
稍微看一看：如果这是9，5除以9会得到,0点几，如果你用两个整型数,你舍去小数，这就是当你们,用整型数使用这个操作的所发生的事情，我将得到数值0乘以任何一个数字。
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So, should I be drawing these boxes four times bigger since ints are four times bigger than chars usually?
所以，我应该把这个盒子画成4倍大,因为一般int型是char型的4倍大小？
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So with an integer, an int data type, you can store any number between 0 and 4 billion roughly.
只要有一个整数，一个int型的数据，就能储存任意一个,位于0到40亿之间的一个数。
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We don't like exponential algorithms, or at least you shouldn't like them, because they blow up quickly. And we saw some examples of that. And unfortunately, some problems are inherently exponential, you're sort of stuck with that, and then you just have to try be as clever as you can.
我们并不喜欢指数算法，至少你不应该喜欢，因为他们会,爆炸式的增长，我们将看到,这样的例子，不幸的是，一些问题先天是指数型的，你会被它们稍稍的卡住,然后你就得尽可能的发挥你聪明才智了。
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If seeing things that participate in the forms remind me of the forms, it's got to be because I've met or been acquainted directly with the forms before.
如果我看到了,一种型相的物体能让我想到这型相本身,那么我之前一定直接见过,或者对那型相本身很熟悉
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