It's 33, 32, it's only 32 times and you can check that math at home but here lies the power of algorithmic thinking, of computational thinking as they say.

你需要33，32，对，32次,你也可以在家里自己计算，但数学算法的力量是无穷的，这就是科学家们所谓的计算机思维。

哈佛公开课 - 计算机科学课程节选

You might remember vaguely logarithms from high school math and such but what this suggests for us , the computer scientists, is that this is certainly a smarter, a faster algorithm.

你可能还会依稀记得,高中数学里的对数,这就给了我们这些计算机科学家们，一些启示,即，这种算法更智能，更迅速。

哈佛公开课 - 计算机科学课程节选

One of the things we want to help you do is identify the different classes of algorithms, what their costs are, and how you can map problems into the most efficient class to do the computation.

我们想要教会你们的事情之一就是,学会辨别不同种类的算法，它们的代价是怎么样的，以及怎么样把问题映射到,最有效的算法种类中去做计算。

麻省理工公开课 - 计算机科学及编程导论课程节选

At the University of Minnesota, a computer algorithm paired people up.

在密尼苏达州立大学，通过计算机算法将同学分组。

耶鲁公开课 - 心理学导论课程节选

And then we're going to turn to the question of efficiency. How do we measure efficiency of algorithms? Which is going to be a really important thing that we want to deal with, and we'll start it today, it's undoubtedly going to take us a couple more lectures to finish it off.

然后我们会回头继续讨论效率问题,我们如何计算算法的效率？,我们处理这些问题的时候,最重要的事情是什么？,我们今天要去讨论这个问题，毫无疑问我们要用,挺多节课来学习这个。

麻省理工公开课 - 计算机科学及编程导论课程节选

The algorithm doesn't know that it's going to take this long to compute, it's just busy crunching away, trying to see if it can make it happen.

这很可能会发生，但是你知道的,算法本身并不知道，计算这个问题需要多长的时间，它就一直忙碌的算啊算。

麻省理工公开课 - 计算机科学及编程导论课程节选

Well, we saw the teaser in terms of that animation that suggests this merge sort algorithm when implemented by a computer is absolutely faster.

我们从前面的动画中可以看到,这个归并排序算法在计算机上实现之后,绝对比其他算法更快。

哈佛公开课 - 计算机科学课程节选

People use bin packing algorithms to figure out, for example, how to load up container ships.

人么通常用装箱算法来计算这个问题，比如说怎样装载货船。

麻省理工公开课 - 计算机科学及编程导论课程节选

> Computer our input, memory control, arithmetic, and logic and output.

>，【记录的演示】计算我们的输入，内存控制，算法，逻辑和输出。

哈佛公开课 - 计算机科学课程节选

So I propose this algorithm, this program, this process for counting people in this room.

因此我提出了这种算法，这种程序和处理方法,来计算教室里的人数。

哈佛公开课 - 计算机科学课程节选

OK. Today, for the rest of the lecture, we're going to take a break from the topic of algorithms, and computation, and things of the sort. And do something pretty pragmatic.

好，今天剩下的时间里，我们不再讲算法，计算和排序这些话题了,我们会做一些非常实用的事,我们主要的讲讲测试。

麻省理工公开课 - 计算机科学及编程导论课程节选

How does this thing grow as I make the problem size big?

也就是说当问题规模变大的时候,算法计算的时间会怎样增长？

麻省理工公开课 - 计算机科学及编程导论课程节选

So there's good news and bad news.

你可以计算任何可以用算法描述的东西。

麻省理工公开课 - 计算机科学及编程导论课程节选