So I haven't done magic, I've given you a really fast way to solve a knapsack problem, but it's still exponential deep down in its heart, in something.
所以我并没有施魔法,我已经告诉了你,一种快速解决背包问题的方法了,但是某些方面它的核心仍然是指数增长的。
So maybe you can tell me where you got yours.
所以也许你能告诉我在哪里买的。
I shouldn't have skipped that and I want to hit-- Let me tell you why I skipped it.
我不该跳过它们,所以现在我要讲一下-,先告诉大家我当时为什么跳过没讲。
So, I need to tell you how you're doing the expansion, because that's going to tell you how much energy you're wasting during that expansion.
所以我需要告诉你,膨胀是如何进行的,因为这会告诉你,在这次膨胀中,浪费了多少能量。
So the Hund's Rule tells me how to put them in.
所以洪特定律告诉我如何应用它。
So how would we go about solving this problem if I told you not only was there a maximum weight, but there was a maximum volume. Well, we want to go back and attack it exactly the way we attacked it the first time, which was write some mathematical formulas.
有些时候两个都重要,所以如果我告诉你这里不仅有,最大重量还有最大容量,我们应该怎么解决这个问题呢?,好了,我们想回过来然后,和第一次一样看看这个问题。
So,I'm telling you from the beginning, but don't dream and think that somehow the Final's going to be so much different from your regular day-to-day performance, but to give you some reason to live after the Midterm.
所以我在开始告诉你们,但是,不要以为你们的最终成绩,和你们的平时表现,没什么关系,但这能让你们不至于期中的时候就绝望了
So this is a game that occurs in soccer and just to give an idea of how important it is for those people who are unfortunate enough not to be soccer fans here, the last World Cup was decided on penalty kicks.
所以这是一个有关足球的博弈,我先告诉在座的不是球迷的同学,为什么说这个很重要,因为上届世界杯冠军就是点球决定的
So then there's the whole idea--we've already given you some sense that the Greeks were ancestor worshippers.
所以这就是当时的情况,我告诉过你们,古希腊人对祖先甚是尊敬
So that is a flag that tells the compiler that I want to use or link into my own program code that someone else wrote that lives somewhere else on the system whose moniker is CS50.
所以那是一个标记,用来告诉编译器我想使用,或连接我自己的程序代码到一个叫做CS50的系统中的程序,可能其他人在那个系统写了这些程序。
And so, one of my friends told me
所以,我有一个朋友告诉我,
So the first thing I need to tell you is I really mean it.
所以第一件事我要告诉你们是我是认真的。
So my goal today is to talk about sort of the basics of the molecules, their chemistry, the function of DNA in cells, sort of basic - the basic side of that.
所以我今天的任务是告诉你们,DNA分子的各种基团,它们的化学结构,细胞内DNA分子的功能
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