-
In addition to many lectures, we have the working groups pleased to do both experiments and to do problem-solving exercises.
我们不仅有讲座，还有不同的小组,他们将做实验,和解决问题的练习。
-
And secondly, I think that, even if they don't know how to do a problem,
二是，我觉得，即使他们不知道怎么做一道题，
-
So let's actually let you try another example of solving a problem that has to do with one of the spectrums.
下面请大家来看一下另一个例子,这次是一个需要大家解决的关于光谱的问题。
-
The problem with long-term risks, also, is that anything that we do to mitigate these risks creates moral hazard.
关乎长期风险的问题，我们要采取一切手段,减轻这些风险,带来的道德风险。
-
It's a simple problem, but I just want to do it so you get used to working with vectors.
这是个简单的问题,但我还是想做一下好让你们习惯矢量运算
-
And we hope that at the end of the class, every time you're confronted with some technical problem, one of your first instincts is going to be, "How do I write the piece of code that's going to help me solve that?"
并且我们希望到了期末，每当你要面对一些,技术问题的时候，你们的本能之一将会是：,“我怎么才能编写一个代码,来帮我解决这问题？“
-
If you have been working and are still working on problem Set One, do realize that a good deal of support and assistance is available to you.
如果你们一直在做并且还在做,习题集1，请认识到，可以寻求,其他人的支持和帮助。
-
We'll see why they have to separate that in a minute, but they do that these lipid bi-layers solve that problem for them and they're self-assembled structures from these molecules called phospholipids.
我们马上会讲到为什么要把它们隔离开,脂质双层膜解决了这个问题,而这些自主装结构,就是由磷脂分子组成的
-
Now this will become a problem obviously when we talk about Judaism, because Jews--the Greek rulers, were trying to do the same thing with Jewish gods and Jewish figures, as they had elsewhere.
显然，这种方法用在犹太教会产生问题，因为犹太人。。。希腊统治者试图用，同样的方法，处理犹太神。
-
It's going to lead to a lot of interesting things. It's also going to create a really huge problem for monotheistic thought they're going to struggle with for centuries and actually still do struggle with today.
并会引发一系列的有趣事件，它也将给一神论思想,带来一个相当大的问题，这个问题,他们纠结了好几个世纪，直到现在依然存在。
-
All right, so when you do a problem, the path is going to turn out be extremely important.
好，当你解题时，路径会变得,极其重要。
-
But remember that you do have recitation on Tuesday, so that could be very helpful with the problem-set, so be sure to go to recitation on Tuesday, and have a great long weekend.
记住，周二有习题课，这对做课后题很有帮助，所以周二一定要来上习题课，周末愉快！
-
So the problem I want to do-- there are many things you could do but I just picked one, and this is the one with round numbers, so I can do it without a calculator.
我想讲的这道题,类似的题目很多,但我就选了其中一个,这道题涉及的数字都是整数,所以我不需要计算器
-
Because you'll have an appropriate level of confidence and competence in your ability to do computational problem solving.
因为你们在自己的能力范围内,拥有应对解决计算问题的,正当水平的自信心和竞争力。
-
But I want to stress again, as long as I do the base case right and my inductive or recursive step reduces it to a smaller version of the same problem, the code will in fact converge and give me out an answer.
就开心的去做吧,但是我想再次强调,只要基础事件处理正确而我的递归,或递推步骤能把它简化为更简单的同类问题,那么这段代码就可以收敛。
-
Not so easy to see. All right, but this is actually a great one of those educational moments. This is a great example to think recursively. If I wanted to think about this problem recursively- what do I mean by thinking recursively?
看不太出来，好，但实际上是一个有教育意义的时刻,这是一个很好的关于递归的例子,如果我用递归的思想,去考虑这个问题-,我该怎么用递归去解决这个问题呢？
-
I make the problem ten times bigger, it takes one more step to do it.
而在线性复杂度的算法里，我把规模扩大十倍。
-
d1 2 3 And we can do that just going along, 3 d 1, 2 3, and the problem comes when we get to chromium here, which is instead of what we would expect, 4s23d4 we might expect to see 4 s 2, 3 d 4.
我们能做的就是继续，问题出现了,当我们来到铬元素时，它不是我们预期的那样，我们可能预期。
-
The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件？,我要将问题分解到何时才使得问题,小到可以解决的基本问题？,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
应用推荐