One of the inputs to the problems we're gonna be working on this semester and if you continue on in this world how much thought it takes to implement something, how much time it takes to run something, how much space it takes to run something?
我们将在本学期集中探讨这些问题,或者在课程之后你们也可以继续研究,为实现一些功能要有多少想法,在运行过程中又将花费多长时间,需要多大的空间?
One class that I thought was very interesting that doesn't relate with my career so much was a family law class.
其中有一门课叫家庭法,这门课和我的职业关系不太大,但我还是特别感兴趣。
Now, let's say, I'm not really much concerned with whether this was an argument that Plato thought worked or not.
我其实并不太关心,柏拉图本人认为,这个论证是否说得通
There are other problems that are much more naturally thought of in a recursive fashion.
有一些问题不递归,也可以很简单的解决。
The Greeks of the classical period always thought there was an earlier age that was much better than the age in which they lived, an age in which men were heroes.
古典时期的希腊人认为过去,有一个比他们所处年代,更好的时代,一个英雄辈出的时代
So, what we're dealing here with is a situation where the ancient Greeks were very much into mathematics as a way of explaining the world and explaining music in particular And they thought these ratios were primary.
那么,我们现在要潜心琢磨,古希腊人热衷于,用数学来解释世界,尤其是音乐的这种情形,他们认为这些比例才是基础
I do want to talk about one important subject which you might not have thought too much about and that's lipids, because lipids are so important to the structure of the body because they make up the membranes that form the cells that are the fundamental units.
我的确想要讨论一个重要的主题,这个主题也许你们都没有深入思考过,那就是关于脂类的问题,脂类对身体结构形成十分重要,它是组成细胞膜的基本单位,而细胞膜能够维持细胞形态
Now in fairness, that particular problem kind of happened because so many companies ended up running so much code for many more years than the programmers actually thought they would be running it, but the idea is still the same.
公平起见,那个问题有时会发生,因为实际上,很多企业在这么多年里运行了,比程序员多得多的代码,虽然他们将运行它,但那个构想还是一样的。
And so beyond that, I didn't get into too much detail while I was over there, but I thought
此外,我在那里就没有了解太多细节了,但是我觉得
Yet at the same time, you probably thought "Oh, yeah, well, I did come out pretty much in the place I expected to come out in despite the roundabout way of having gotten there."
但同时,你可能会想“哦,也是,尽管比较曲折,但是我也比预想的收获了更多“
One year we actually had something like forty-two people signed up, and the course was much bigger, and we thought they all thought they were getting a free prize or something for signing up, there were so many of them.
有一年还真有,大概四十二个学生选了这课,那课堂大多了,当时我们觉得那些学生,是不是觉得选课能有奖励还是什么的,总之人特别多
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