-
And the first thing you do is ask is it an instance of some problem that other people have already solved?
而且你以前从没碰过这个问题,你首先要做的一件事就是问问自己,这是不是一个别人已经解决了的问题？
-
And you decide that the way this is going to be resolved is to talk to your bosses.
于是你决定跟老板们谈谈，这是解决这个问题的方法。
-
So I'm going to solve this by enumerate and check, which is an example of what's called a brute-force algorithm.
你懂的,所以我得靠列举和检验来解决这个问题,这就是我们说的穷举算法。
-
All right. So you solve the problem and then, lo and behold, it turns out that: It is my friend Bumpy. Bumpy gives me a push.
好了，你们解决这个问题，然后，你瞧，结果竟是：,这是我的朋友，颠簸，颠簸推了我一把。
-
All right,so that's the best way for the personality theory to get revised to deal with this problem.
好了，这就是人格理论调整后,解决这个问题最好的答案。
-
I went to see a rich girl I knew. In the morning she pulled a hundred-dollar bill out of her silk stocking and said, "You've been talking of a trip to Frisco. That being the case, take this and go have your fun." So all of my problems were solved.
我去看望我以前认识的一位有钱的姑娘,到了早上，她从丝绸钱袋里取出一张100元的支票说：,“既然你那么向往到圣弗兰西斯科的旅行，拿着这个去寻找你的快乐吧“，这下我的问题全部解决了。
-
This is what I'm supposed to tell you guys and we're all here to help you out.
我应该告诉你的就是这一点,我们在这的目的就是为了帮你们解决问题。
-
That's why there's a lot of emphasis on sharpening your teeth by doing this class of problems.
这就是为什么强调要通过解决这些问题,来提高你的能力
-
Those are not necessarily bad reasons to take this course, and with the exception of the sex part, this course might actually help you out with some of these things.
作为选择这门课程的理由,这些倒也并不算太差,当然除了性这个方面,这门课实际上还是能够帮助你们,解决一些问题的
-
But the fact that this type of report the goverment published itself suggest that they are thinking about it and once it becomes part of the public discourse this typle of issue... some action is likely to follow.
政府自身愿意写出这种报告,从另一角度说明,他们在思考这个问题,一旦这个问题受到公共瞩目,这类问题。,就可能有人开始动手解决。
-
Here, the problem is solved by injecting it directly into the cell, shown here, and then that's one issue with gene delivery.
现在,这个问题已经通过,将其直接注入细胞的方法解决了,图上这里,这只解决了基因输送的一个问题
-
What does this mean? Linearity of solutions, the elegant way of saying it is superposition holds.
这是什么意思，方程的线性关系，是解决问题的十分漂亮的方法。
-
But if you can accept the purity of the statement I just made, it is at the root of the thing you have a solution.
但如果你能够遵从原教旨主义的方式,那么这就是你解决此问题的根本
-
So that's the topic that I'd like to address today.
这就是我今天要解决的问题。
-
There was a conditional agreement: yes, Norway should manage this oil risk but it's politically difficult and that's the problem-- is that we're not able to do our optimal management.
他们在一定程度上同意我的观点：,是的，挪威应该设法解决石油的风险,但这在政治上很困难,其问题在于-,挪威无法做到最优的管理。
-
and I enjoy, like, solving proofs or, like, solving problems, but it's only one part of like, what I do, like as a person.
做证明题或者解决问题对我来说是一种享受，但这只是我生活的一部分而已。
-
The real issue is to figure out how to build constructs out of this that tackle particular problems, but the fundamental basics of computation are just captured in that set of mechanisms.
坏消息是当然这不是真的,真正的问题是怎么来,构建解决特定的问题的这些结构，但是运算的最基本的东西,仅仅体现在机制集里。
-
OK. Binary search is perhaps the simplest of the divide and conquer algorithms, and what does that mean? It says, in order to solve a problem, cut it down to a smaller problem and try and solve that one.
好了，二分搜索也许是,最简单的分治算法，这意味着什么？,也就是说，为了解决一个问题,把它切割成小的问题,然后再来一个个解决。
-
Well, this is a problem that we have solved and will solve in the weeks to come. See you Monday.
嗯，这是我们解决了的一个问题,并且将在接下来几周来解决这个问题，下周一再见。
-
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？“
-
Now, of course, that's a bit of a cheat because the claim isn't to spend eternity doing math problems and nothing but math problems.
当然这有欺人之嫌,因为并非要求永远解决数学问题,其他什么都不做。
-
Everybody knows the water would continue in a straight line, suggesting that when you have experience that helps you out, but in absence of experience you're kind of lost.
所有人都知道水会继续沿直线喷出,这说明经验能够帮助你正确解决问题,但缺乏经验会使你感到困惑
-
Then, here is what we actually do.
然后,这就是我们真正要解决的问题
-
People tend not to realize that the first question you should always ask yourself, is this really just something that's well-known in disguise?
已解决问题呢？,这是一个最短路径问题吗？,这是一个最近邻居问题吗？
-
All right, this is what's called a recurrence relation, there are actually cool ways to solve them. We can kind of eyeball it.
好，这就是所谓的递归关系,也就是解决问题的相当好的办法,我们可以来看看。
-
It's probably among the most useful ideas there is for solving complicated problems.
这大概是解决复杂问题,最有用的思想之一。
-
And again, I'm going to do it with a little bit of abusive notation, and it's a little more complicated, but we can kind of look at. All right?
为了解决这个问题,我还是需要滥用一点符号，这有点复杂，让我们来看看吧，好不好？
-
I think that book will give you all the basic principles you need in calculus of one variable, more variables, elementary complex numbers, maybe solving some problems with vectors and so on, which you're going to get into.
我想那本书会给你所需的所有基本知识,包括一元和多元微积分,简单的复数运算,可以解决一些与矢量有关的问题,而这正是你们将要学的
-
And you can very quickly take this feature to an extreme 10 and start putting X and Y and A and B and 10 and all your variables up top because it would seem to solve all of your problems and stop all of your thinking, but it's generally not a good thing.
你可能迅速地使这个特征成为一个极端,开始把X和Y和A和B和0,和所有的变量都放在最前，因为好像它可以,解决你的所有问题，并中止你的想法，但通常这不是一件好事情。
-
So, find an important problem. Work on it, and to say nothing of the wireless device there.
所以，找到了关键问题，并努力去解决它，先说明，这并没有无线设备。
应用推荐