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If I keep on constructing these boxes within boxes, so the next box would be a little box in here.
如果我不断缩小这个方格,下一个方格会是这样的
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Linear algorithms tend to be things where, at one pass-through, you reduce the problem by a constant amount by one. If you reduce it by two, 1 it's going to be the same thing.
有问题么？,线性复杂度的算法，当进行了一个,常量级步数的操作的时候，将问题的规模缩小了一个。
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So if you think of a shell, you can actually just think of an egg shell, that's probably the easiest way to think of it, where the yolk, if you really maybe make it a lot smaller might be the nucleus.
可以把它想成，个蛋壳，这也许是，最简单的思考办法,蛋黄如果，缩小非常多倍的话,就可以想象成核子。
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The twenty-five years I have lived since then tapered to a palpitating point and vanished. This is a remarkable passage to me.
那以后生活的二十五年，就惭渐缩小成一个颤栗的点,以致终于消失了，这个段落非常值得注意。
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For me, the choice boils down to the choice between the body theory of personal identity and personality theory of personal identity.
在我看来，选择范围就缩小到了,人格同一性的肉体论,和人格同一性的人格论上。
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It used to be a big, broad sheet and they made it smaller in 2005 and they started--they keep cutting out data.
曾经是很宽大的报纸,在2005年被缩小了,并且开始不断减少数据
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Satan and the fallen angels are entering the magnificent structureof Pandemonium, and at one instant all of the angels shrink in order to fit in to the building, however big it is.
撒旦和堕落天使们正在进入,混战地狱绝妙的建筑中去，突然，所有的天使们都缩小了身形,以来进入那栋建筑中。
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But if you keep on doing boxes within boxes, I'm going to converge in on that intersection.
如果你不断缩小方格,最后就会只剩交点了
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He says the pagan idea, and I quote, "does not approach Israelite monotheism as it diminishes the number of its gods. The Israelite conception of God's unity entails His sovereign transcendence over all." That's the real issue.
考夫曼认为，异教思想，“即使缩小了神的数量，也和以色列的一神论不同,以色列中上帝的概念还包含了他对世间万物,至高无上的统治，“这是一个实际问题。
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And this narrowing down is largely in place by about twelve months of age.
这种敏感范围的缩小,大约发生在婴儿十二个月大的时候
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And this is about... I think in some ways what I describe Princeton as is a privileged but a microcosmo of the world where people are coming together and bumping up against people with whom they very much disagree.
这是关于。,我认为，我觉得普里斯顿大学,是一个特殊的,整个世界的缩小版,人们从四面八方聚集,遇到一些与自己想法,出入很大的人。
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The world has been narrowed and so has consciousness.
世界逐渐缩小，意识也是。
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You can photo-reduce.
你也能照相缩小。
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And I'm going to show you an example in a 1 second, just to drive this home, but notice the characteristics. In the first two cases, the problem reduced by 1 at each step.
在前面两个例子里,每一部问题的规模缩小了,不管是迭代的还是递归的，这表明这个问题的复杂性可能是线性的。
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If it's at that point, I'm done, if not, if it's greater than the value I'm looking for, I either take one half or the other.
那么我就取左边，否则的话就取右边，好，你们可以明白，我们一次就可以缩小问题规模的一半了吧。
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The gods are going to be limited. They are not the source of all.
神的能力就会被缩小，他们就不再是万物的本源。
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Second, the historical prologue bridges the gap between generations.
第二点，这段历史旁白缩小了不同是代际之间的差距。
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How do I reduce this to a smaller-size problem in the same instant?
我怎么能把这个问题,缩小成更小规模的问题呢？
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.. If you can find assets that all have-- that are all independent of each other, you can reduce the variance of the portfolio very far.
如果你能找到这样的一些资产-,一些相互独立的资产，就能很大程度上缩小这个投资组合的方差。
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You narrow down until you're sensitive just to the language you hear.
你逐渐缩小敏感的范围,直到只对你所使用的语言敏感
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Well, I think he would say inequality-- hardship would be reduced.
我想他也许会说-,这能消除不公，缩小贫富差距。
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If I went on and told you what the different incident light was, and what the electrons were ejected with, and then you could look up the ionization energy for the particular different elements, you should be able to actually determine exactly which element it is, but just with the information given, we can only narrow it down to these choices here.
如果我继续告诉大家入射光源是什么，出射电子的动能是多少，那么你可以去查一查,以上各个元素的电离能，这样你就应该能确定,这个元素到底是哪个，但是只凭题目中的信息，我们只能把范围缩小至以上几种元素。
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In fact, it took the same number of steps as it did in the other case, because each time I'm cutting it down by a half.
因为每次我都把问题的规模,缩小一半，这很棒，好，接下来让我们这么做。
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I've calmly and slowly narrowed the search.
缩小了搜索的范围。
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That's a sign that it's probably linear.
我可以两步把问题的规模缩小一半。
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bug What I typically do is I start with the input that provoked the problem, and I keep making it smaller and smaller.
我这里做的就是从引起,出现的输入开始，然后将输入，一步步的缩小规模。
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But part of the process of being systematic is not assuming that I'm going to get a lucky guess. But not even thinking really hard at this point. But just pruning the search space.
但是系统化的过程是不允许,假设我做出了,一个幸运的猜测的,而是逐步缩小搜索空间。
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Now. You might look at that and say, well that's just a lot like what we had over here Right? We had some additive constant plus a simpler version of the same problem reduced in size by 1.
现在你可能会看着这个说，这很像我们以前做过的,对不对？我们用一些附加的常量,加上问题的另外一个规模缩小了1的,简化版本来代替这个问题本身。
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The printout is simply telling me, what are the ranges of the search.
你可以看到这个方法每次都将，原问题的规模缩小了一半。
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But in one step, I've reduced this problem in half.
我就将这个问题的规模减半了，我不仅仅是缩小了问题的规模。
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