But it is interesting. Let's just, for an order of magnitude say what happens for ground state electron in atomic hydrogen?
但行星模型其实挺有趣的,按照重要的先后顺序,我们来猜想一下,氢原子中的基态电子会发生些什么?
These materials were transmitted and developed by different circles within Israelite society over centuries, and they crystallized at different times.
这些资料被传播发展,几世纪来,由以色列社会中的不同圈子,它们曾在不同的时期都非常明确。
So, here we have this soda with lithium citrate, some of you might be familiar with this, soda is called 7-Up.
最后他们决定用锂来做,所以我们就有了一种含有柠檬酸锂的汽水,你们中的有些人可能对它很熟悉,它就是七喜。
Hence, some of the characters in books through whom you had glimpsed life's possibilities were fellow Americans of yours.
所以你要借助,书中的东西和角色,来表达生活的可能性。
Now this allusion here in this verse epistle to his father is to a passage from the book of Revelation.
在这封给他父亲信里的诗中所含的暗示,是从《启示录》中的一段话来的。
Now, let's come back to the question we started with, which has to do with profits and so on in society.
现在我们来回答刚讲课时提到的问题,是与社会现实中的利润有关的问题
But we know already from week zero that computers ultimately represent all information with numbers, and if they want to represent letters inside memory, well what do they do or what do they use?
但是自从上周我们已经知道,计算机最终是用数字来表示所有的,信息,如果它们要描绘,在内存中的字母,它们该怎么做,用什么方式呢?
So even within this framework of, given a description of a computation as a set of steps, in the idea that I could build a circuit to do it, let me suggest for you what would be a wonderful circuit to build.
所以即使需要在将计算描述,当成一系列步骤中的一步,这个框架之内,我也完全可以建立一个线路,来完成那个想法,让我为你们假设能建造起,一个多么棒的线路吧。
And, by the way, if you ever feel that you are in a compromising position, someone is pressuring you for information, just raise your hand and ask to be reseated.
另外,如果你觉得你在一个折中的位置,有人强迫看你的信息,只需要举起手来要求调换座位。
now let's go back to each of our individual steps and look, based on what we know about how to evaluate the thermodynamic changes that take place here, let's look at each one of the steps and see what happens.
让我们回到循环中的每一步,然后看看,基于我们已有的知识,来估计一下,发生的热力学变化,让我们看,循环中的每一步发生了什么。
A Hobbesian state, paradoxically, still requires from its citizens, men and women prepared to fight to risk everything in the defense of their way of life.
如此一来,矛盾便凸显出来了,即霍布斯理想中的国家,也照样要求他的人民时刻准备牺牲一切,来维护他们的生活方式。
But then I ask them to think, and in the book I ask the readers to think: Well, have you given a cost of an expensive pair of shoes to save the life of one of the around 9 million children who are dying from poverty related causes each year around the world?
但是,接着我让他们思考,在书中,我让读者思考这样一个问题:,你有没有捐出过买一双鞋的钱,来拯救900万儿童中的一个生命?,他可能正因为贫困导致的种种问题,而生命垂危,每年世界上都会有这样的儿童?
If you look at John Geanakoplos's course on Financial Theory, his mathematical concepts are central to his outline of the course; but this being a Financial Markets course, I'm dividing it up more in terms of markets and institutions.
如果你们听约翰·吉纳科普洛斯的,金融理论课,他的大纲中心部分,是金融学中的数学概念,而我们这是金融市场课,于是我从金融市场和,金融机构的角度来划分这一课
We tend to underestimate the importance of Freudian thought in everyday life because he's transformed our world view to such an extent that it's difficult for us to remember if there's any other way to think about it.
我们常常低估了精神分析理论,在日常生活中的重要性,因为他改变了我们的世界观,让我们以一种自己难以想到的方式,来看待世界。
But if you're going to have a big old fort, and you're going to have lots of cannon that you hope to use against your craven, reptile enemies that would want to get in your way, you've got to have people to try out the cannon.
如果你想攻占一个大型的旧式堡垒,你必须要有很多大炮,来对付那些缩在城堡中的敌人,还需要很多士兵来操纵这些大炮
You can run into issues of things like overflow, underflow, with floating point numbers and when you see a whole bunches of ones, it's particularly a good time to be suspicious.
来看看哪儿会出问题,你可能会碰到浮点数中的溢出和下溢问题,当你碰到一系列这种问题后,可能就会适时的开始怀疑结果的正确性。
So, our detection devices are a little bit limited here today, we're actually only going to be using our eyes, so that means that we need to stick with the visible range of the electromagnetic spectrum.
我们今天所有的探测仪器十分有限,实际上我们要用我们的眼睛来观测,这意味着我们只能看到,电磁谱中的可见光区间。
I want to plot energy in the system as a function of interatomic spacing.
我想把这个系统中的能量,按照原子间距来划分。
Since then, since we know about atoms and molecules now, we can rationalize the concepts of thermodynamics using microscopic properties, 62 and if you are going to take 5.62, that's what you'd learn about.
既然我们现在已经知道了原子和分子,的概念),我们可以用,微观属性,来阐释热力学中的概念,如果你会选修5。,-那是你将要学到的。
So, this means we have the general trends down, so we should be able to look at actual atoms in our periodic table and graph them and see that they match up with our trends.
那么,这表示我们已经知道了大体的规律,现在我们可以来看看周期表中的,原子的实际情况,并把它们画出来,看看是否与我们的规律相符。
Do one comparison and return one of two possible orders on it, but I need to decide that.
虽然可以做一次比较,然后返回两个可能的顺序中的一个为结果,但是这需要我来做决定。
So, let's go ahead and make sure we can draw that, if we have interest either in the area of organic chemistry or biochemistry or biology here.
那么,让我们来确认一下我们已经学会怎么画了,如果我们对有机化学,生物化学或者生物学中的任何一个领域感兴趣的话。
While at the same time as I say congratulations, I want to remind you that I think it comes as no surprise given the lateness of Labor Day this year that this first test came rather early and for many of you much of this material you had seen in high school.
当我对你们表示祝贺的同时,我也想提醒你,今年晚来的劳动节,并非是什么惊喜,第一个测试来的比较早,你们中的绝大多数在高中已经见过了。
So, for example, Wellbutrin, it is very unlikely that it would have thionyl chloride in order to make it, and if thionyl chloride was used at some point in the synthesis, it was not to put that chlorine atom on, it was to put something else on.
比如,安非他酮,用亚硫酰氯来制造它,是不太可能的,而就算在合成过程中的某一阶段用到了亚硫酰氯,它也不会把氯原子加进去,而是把其它东西加进去。
So this first little piece of code right here says, ok you give me 2 points, I'll create another 1 of these lists and I'll simply take the x, sorry I shouldn't say x, I'm going to assume it's the x, the x-values are the two points, add them together, just right there, the y-values, add them together and return that list.
好,为了来认识到这一点,让我们来看一个简单的小例子,在你们的课堂手册上,你可以看到我写了一个小程序,它假设我得到了,这些点中的一些,我想对它们做一些操作,例如我想把它们加到一起,那么这里的第一小片,代码的意思是,好给我两个点,我会再创建一个数组。
Let's look at the energetics of Coulomb's Law.
我们来看看库伦定律中的热力学知识。
The Republic is a book about the regime and all later political philosophy is a series of footnotes to Plato and that means that it must provide a series of variations so to speak on Plato's conception of the best regime.
理想国》是一本关于政体的书,之后所有的政治哲学都不过是一系列,对柏拉图的批注,也就是说,它必需提供,一系列的差异来解释,柏拉图概念中的最佳政体。
So if we consider lithium, potassium, and sodium, they're all together in the same group on the periodic table, knowing what we do about biology we can immediately think of sodium and potassium, or even just knowing what you know about table salt, for example, that these are two elements that we find, and particularly in the ion form in very high concentrations in our body.
我们来考虑一下锂,钾和钠,它们都在周期表中的同一族里,想要知道我们将元素周期律,用到生物学会怎么样,我们首先想到的就是钠和钾,甚至只需要知道食盐,我们发现它们是以很高浓度的离子形式,存在于我们体内的两种元素。
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