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So the basic idea was fine, but I failed to satisfy the initial condition that the answer had to be between the lower bound and the upper bound. Right?
因此基础的思想是对的，但是程序没能满足,正确答案在给定的区间内这个条件,对不对？
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End up where you started. It's not quite the same as the shortest path, and figure out the way to do that that involves spending the least money. Or the least time, or something else.
最后回到最初的地方,这和最短路径问题有些不同,需要找出一条花费最少,或者费时最少或者满足其它条件的路径。
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Right. So this is a great way of like fulfilling the requirements of the problem step but not quite the spirit of using a condition.
好的，这是很好地满足了,解决问题的需求,但是没有使用条件。
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The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.
解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件
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That's no random assignment; it's not an experiment.
没有随机安排;,不满足实验的条件。
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Well, how about all the points in between?
两点之间还存在满足条件的点吗
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It doesn't work so easily to share with those people along the lines that these communities--I think these communes tend to emphasize a social compact, a feeling for each other, a caring for each other, which is a lovely thought but it doesn't achieve risk management on a big scale.
但要实现跟满足这些条件的人分摊风险,绝非易事,这些共同体。。。我指这些公社,倾向于强调一种社会凝聚力，一种人与人的深情和关怀，这个想法听上去很美,但无法实现大规模有成效的风险管理。
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And now we want to find the subset of a that has the maximum value, subject to the weight constraint.
会有一个值与其对应,现在我们想要找出满足，重量约束条件的a的最大值子集。
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So he's packing and unpacking, packing and unpacking, trying all possible combinations of objects that will obey the constraint. And then choosing the winner. Well, this is like an algorithm we've seen before. It's not greedy.
因此它不断装包和清包,尝试了所有满足约束条件的物品组合,最后选择最优者,这很像我们以前看过的一个算法,这不是贪婪算法。
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And that may generalize again and it keeps going until you either get back to Adam and Eve, I guess. I don't think they were born in the US as far as I know, or you find somebody who satisfies that definition or you find that none of your parents actually are in that category.
降低到我的父亲或者母亲,是不是天生的美国公民呢,这个问题可以继续向下分解,你甚至可以追溯到亚当和夏娃的时候,据我所知它们并不是出生在美国的,或者你要么找到一个符合定义的人,要么发现你的父母都不满足条件。
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In some sense, strictly speaking they shouldn't be necessary because the fact that my specification starts with an assumption, says, hey you, who might call square root make sure that the things you call me with obey the assumption.
在某种意义上严格的来讲,它们不是必要的,因为我已经对假设做了声明,也就是说，如果你要调用我的，求平方根的函数,请确保你传递给我的,参数满足假设条件。
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It tells me that the best response to S2 is the ?1 that solves this equation, that solves this first order condition.
我们得出S2的最佳对策是?1,?1是这个方程的解,它满足一阶条件
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And it tries to find the shortest way, subject to those constraints, to get from Point A to Point B. And there are many, many other instances of this kind of thing.
然后谷歌地图开始寻找，满足这些条件的从A地到B地最短路径,还有很多这样的例子，明天我们会再复习一遍这些内容。
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