A logarithm tells you what power a base number must be raised to in order to produce a given value.

对数说明一个底数的几次幂等于一个给定的值。

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OK, and for a given value of x, what we will do is we'll slice our graph by this plane parallel to the yz plane.

对于给定的x，我们要做的就是，用平行于yz平面的平面去切图像。

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For a given value of x, so that's a given slice, I have a range of values for y, that is, from this picture at the left most point on that slice to the rightmost point on that slice.

对于给定的x，对应一个切面，就可以得到一个y的取值范围，从图片上看，是从切面的最左边到最右边。

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Fisher says his experiences in Africa years ago showed him many people value the things they pay for more than the things they're given.

VOA: standard.2010.08.09

Now, what did I want to do? I wanted to check membership. I want to do search. Well that's simple. Given that representation and some value, I just say gee is it there?

现在，我需要做什么？,我要做成员检查，我要做查找,这就很简单了，给了即定的表示和一些值,我只需要说喂在那儿吗？

麻省理工公开课 - 计算机科学及编程导论课程节选

Again, same kind of reasoning says, given some value x, I happened to pick a small one here, what's an easy way to do this? Well, let's just start at one. That's my variable I'm going to change and check.

好，尤其是，让我们到这里来,让我给大家看看第二个例子,让我把这个注释掉，这是我要解决的，第二个问题，假设我想找到一些整数的,所有除数，我想要找出来这个数的所有的除数。

麻省理工公开课 - 计算机科学及编程导论课程节选

It is a value transfer system which is given value only by its users.

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The SFA says it negotiated hard with its counterparts to make sure Scottish fans were given value for money.

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Since 2008, Whole Foods has given value investors few openings.

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