So when you're trying to think about is this a problem that I can solve with dynamic programming, these are the two questions you ask.
所以当你想知道能否,用动态编程来解决这个问题时,你可以问自己两个问题。
So someone who doesn't have a lot of money, they can, you know, give a little bit
所以那些不是很富有的人,可以用很少的钱
So, the issues are complicated as to what sort of generalizations we're--are reasonable to make and what aren't.
所以什么情况可以用刻板印象,什么不可以,问题就变得复杂了。
And so what's the biggest possible number you can represent, give or take, with 32 bits?
所以它可以表示的最大的数值是多少呢,大概是多少?用32位表示?
So you have these at your disposal.
所以说你在处理数据的时候可以用这些常数。
So perhaps we should put the point in the form of a dilemma.
所以也许可以用二难推理叙述这个问题。
And so, my lectures on Flannery O'Connor will highlight the methodologies that we can bring to any reading of a novel, and it will highlight the differences between different methodologies and what they allow us to see in a different text.
所以,我关于她的讲座会重点,强调我们可以用在阅读小说中的方法,不同方法间的差异,以及这些方法对于一篇不同的文本,会让我们明白什么。
They invented the paper machine so they could mass-produce paper-- it didn't have to be handmade anymore-- and they invented wood pulp paper so it didn't have to be made out of cloth anymore.
于是人们发明了造纸机从而可以大量生产纸-,而不再需要手工制作-,后来人们还发明了木浆纸,所以后来不再用布料来制纸。
So, whichever works best for you can do in terms of figuring out electron configurations.
所以不管哪一个你们用的最好,都可以写出电子构型。
So this application is not as important as soccer, but it's a bit more Economicsy, so I can justify it under the Economics title of the class.
虽然接下来的案例不如足球那么重要,不过它们都是经济学案例,所以我们可以用经济学的知识来解读
But we do a lot of things on the computer, so that makes up for it.
但是我们经常用电脑,所以可以弥补。
STUDENT: So, how do you come to a conclusion as to which you should use then, if you can determine the size based on solution, or based on input, so how do you decide?
学生:所以,你怎样决定你该用,哪个来算呢?现在如果你可以选择是,基于解决方案的大小,还是基于输入的大小,你应该怎样决定呢?
So Empson says, Well, atmosphere, ; certainly that exists and we can talk about it in all sorts of ways; but after all, what is the use of atmosphere?
所以,Empson就说,气氛这种东西嘛,当然是存在的,我们可以用千千万万种方法来探讨它;,但是,所谓“气氛“有何作用呢?
RT So it's delta u plus RT, we can say T1 is the n temperature we've used here, delta n of the gas.
所以它应该是ΔU加,我们可以在这里用T1,气体的Δ
so you can, yeah, you can use it to go around the park, or you can use it to get from place to place, I think.
所以,你能用它去公园转,或者你可以用它从一个地方去另一个地方。
First of all, negative time should not bother anybody; t=0 is when I set the clock, I measured time forward, but yesterday would be t = -1 day, right?
首先,负的时间对我们不存在任何干扰,t=0使我们设定的初始时间,我是用顺序计时,所以昨天就可以记为-1天,对吗
So what I wanted to do is loop back, at least with a couple of things that we see recurring and very understandably so, but let's try to clear up a couple of frequently occurring issues.
所以我想要做的是回环,至少用两三个,我们看到的东西返回,并且可以理解地,让我们试着处理几个,频繁发生的事情。
So just to reinforce this, I could run gcc math2.c but I'm getting a little tired of this a.out convention and recall that there's this utility called "make" that right now doesn't really improve much, other than give it a better name.
所以我强调这点,我可以运行“gcc,math2,c“,但是我不是很喜欢a,out这个默认的名字,想取消它,那么这里有个叫做“make“的命令“,这个命令现在没有很大的改进,只是把用来更改名字用的。
You could look at what it does but babies are not very coordinated or skilled so you need to use clever methods.
你可以观察婴儿,但婴儿不怎么配合,或者说他们的言语技能并不熟练,所以你必须要用精巧的方法才能做到
- And so you can begin to express -- -- even though the language is a bit arcane -- your ideas in the same way that you might actually speak them.
所以你可以开始表达-,即使那个语言有点晦涩-,你的想法可以用同样的方式说出来。
So you could use this in order to identify the contents of stars.
所以你可以用此,这来辨别星星的数量。
And if you have your calculator all set up as you love and you don't want to change it, then maybe you should just go and get an $8.00 scientific calculator that doesn't have any of the graphing functions, because you don't actually need them, so that's a better option for you, you can do that as well.
如果你的计算器里已经按照你的喜好编好了,而你又不想改动,那么或许你可以,去再买一个八美元的科学计算器,它没有任何绘图功能,因为实际上你也用不到这些,所以这对你来说是一个更好的选择,你也可以这样做。
This is only true for an ideal gas. Since it's true for an ideal gas, then we can go ahead and replace this with Cv, and then we have Cp=Cv+R Cp with Cv plus R, which is what we were after.
常犯的一个错误,这只对理想气体成立,因为对理想气体成立,所以我们可以继续,用Cv代替,这项,最后得到。
So now that we can do this, we can compare and think about, we know how to consider wave functions for individual electrons in multi-electron atoms using those Hartree orbitals or the one electron wave approximations.
现在我们可以做这些了,我们可以对比和考虑,我们知道如何用哈特里轨道,或者单电子波近似去考虑,多电子原子中的单个电子波函数,所以对于我们研究了。
So, it's very well designed such that they've minimized any of these destructive interference dead sounds. So, it's nice, on a student budget you can go and get the worst seat in the house and you can hear just as well as they can hear up front, even if you can't actually see what's going on.
世界上最好的两三个音乐厅之一,它的设计十分精巧,把任何相干相消,都见到了最低,所以这点对于你们,用学生预算买到一个最差的位置的人,来说是很好的,你们可以听得,像前排一样清楚,虽然你们,可能看不见台上发生了什么。
if you don't want to use that, you can also derive it as we did every time, it should intuitively make sense how we got there. But the exams are pretty short, so we don't want you doing that every time, so we'll save the 2 minutes and give you the equations directly, but it's still important to know how to use them.
吸收的和发射的,如果你不想用公式,你也可以每次都向我们这样推导它,很直观的就能得到结果,但考试时间很短,我们不希望你们每次都推导,所以我们会直告诉你,让你节省2分钟,但知道如何应用它十分重要。
You open what we call the "text editor," the specific one we used on Wednesday was called Nano, -- which is similar to Notepad or TextEdit -- totally simple, kind of dumbed down but in a useful way so that you can just focus on writing code and not learning some new interface.
你先打开那个“文本编辑器“,就是我们周三用过的叫做Nano的编辑器,这个跟写字板和记事本差不多-,非常简单的,只是通过一种有用的方法而进行精简了的,所以你们可以把注意力集中在编写代码上,而不需要学习一些新的界面操作。
So it turns out with printf you can actually control those kinds of aesthetics as well.
所以我们用printf也可以控制这种,打印结果的美观性。
So conceptually the key difference here, besides the syntax looking slightly different, it just means that if you want a chunk of code to execute no matter what initially, ; you can use the do while loop; if you want to check a condition first, you can use the while loop.
所以概念上,则关键的区别是,除了语法看起来有点不同,它的意思是如果你想要一段代码,最初无论如何都要执行,你就可以用do,while循环;,如果你想要先检查条件,你可以用while循环。
So, we approached this machine here, the photograph is a little blurry, but it was very clear to us but if you zoom in on the screen and apologies for the reflections, again, this was just taken with my cell phone, you see what appear to be three huge buttons and at the top it said something like have a Charlie Card, which may very well apply to a lot of locals.
所以,我们走近这个机器,这个照片有点模糊,但对于我们来说是清楚地,如果我把它在屏幕上放大,我对这个影像感到抱歉,但是,这是用我的手机拍的,你们可以看到这里上面有三个很大的按钮,写了一些关于Charlie卡片的东西,对本地人来说是相当熟悉的。
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