The general structure that we're looking at can be summarized as this, if this helps paint a nice mental picture.
我们一般看到的这个结构可以这样概括,如果这个帮助我们描绘出一个漂亮的记忆画面。
because then you can solve new problems on midterms and what not if you understand the conceptual part.
因为这样你可以解决中期的新的问题,如果你不理解的话,就不好说了。
If you really want to be obnoxious, you can do this because really these operators just undo themselves, right?
如果你的确有点反感,你可以这样做,因为这些操作符可以撤销它们自己,对不?
Well, that problem was partly solved by saying, 'Well,if I'm giving the inoculation to one person, and that's what would happen.
这个问题一定程度上可以这样解决,如果我给一个人接种,然后就可以解决了
If you could email me if you're interested in coming, so we can have a good size group and a discussion.
如果你们有兴趣参与请发邮件给我,这样我们可以组成一个小组进行讨论
And finally, we want to position all students so that you can easily, if you like, compete for things like your office and summer jobs.
最后,我们想对所有学生来一个定位,这样一来如果你们喜欢,你们就可以轻松的角逐工作和暑期打工了。
Nature also is not divine. It's demythologized, de-divinized, If that's a word; the created world is not divine, It is not the physical manifestation of various deities, an earth god, a water god and so on.
自然是没有神性的,它是没有神话色彩也没有神性的,如果可以这样说的话,被创造出来的世界并不神圣,它并不是众神实体的显形,是一个土地神或者水神或者诸如此类。
One way is to just use your common sense and realize that if you push it this way, these two guys are going to move together.
第一种方法就是你可以通过常识感觉到,如果你这样推它,这两个物体会一起运动
Is this all okay? If we're all going to die then does it really mean that we should just do the best we can at anybody's expense while we're alive?
这样真的可以吗,如果我们终难免一死,这就意味着我们可以在活着的时候,可以不惜代价,去更好的满足自己吗
Right? I could—This So if I could be up here making a fool of myself on a daily basis you guys are much younger than I and known for outrageous behaviors.
对吧,我可以,像这样,所以如果我可以在这里,自嘲自己每天的日常生活,那你们这些年轻人,以作风彪悍著称的年轻人
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。
And so, in addition to philosophical arguments for and against the existence and immortality of the soul, we end the dialogue with a quite moving death scene, one of the great death scenes, if we could call it that, of western civilization.
所以,支持和反对,灵魂的存在与不朽的论证,以一个感人至深的死亡场景告终,这简直就是西方文明史上,最伟大的死亡场景之一,如果我们可以这样说的话
where if I have any questions on any subject, I can just walk in and ask him and he'll,
这样的话,如果我对任何事情有什么问题,我就可以直接走进来问他,
So if we have a third, we can just introduce it like this and so things start to line up a lot more nicely.
所以如果我们有第三个,我们可以像这样引进它,这样代码就排得漂亮多了。
A better way to do this would be the following.
应该是像下面这样做,如果我可以输入。
So if you could make a hepatitis B vaccine that didn't require a shot or that didn't require refrigeration, that would be a tremendous advance in spreading that vaccine through the world.
所以如果你可以开发出这样的乙肝疫苗,它不需注射就能接种,或者不需要冷藏,这样的巨大进步,能够将疫苗的使用普及至全世界
Important lesson, so that there would be some predictability in the results and I would have some, if you will, smoke test for knowing whether or not I was getting, my code seemed to be working.
这很重要,因为这样我就可以预测,结果会是多少了,如果你愿意,我们可以做烟气试验,来看我的代码是否工作正常。
But, I think there will be great opportunities ahead for you and the ability for Wall Street to again securitize and buy a lot of these companies If you have capital, you'll be able to buy these bonds.
但是,我认为在你们未来的道路上将会有很多的机会,华尔街也将会有能力再次保障,或购买很多这样的公司的,如果你有资金的话,你就可以买这些债券。
If some invisible things can be destroyed, and harmony is an example of that, then, by golly, it's going to follow that we can't conclude from the invisibility of the soul that the soul can't be destroyed.
如果有形的东西可以毁灭,和声是这样的一个例子,那么接下来我们就无法得出,灵魂是无形的,无法毁灭的。
The simplest way to see Modigliani-Miller debt irrelevance is the following: a company--if you wanted to buy a company, you could buy only the shares, or equity.
理解MM负债不相关性的,最简单的方法是这样的,一家公司,如果你想买下一家公司,你可以通过股票,普通股来买
Here is the pitch in--of--a string an octave higher so you can see it this way. As you probably know, if you take a long string and pluck it, it's going to take that long string a long time to pass that sort of cycle, if you will, just one pass through that cycle.
这也是个音高,一个高八度的音弦,你可以这样这样看 你们可能知道,如果你拨动长弦,长弦要经过很长时间,才能完成一个震动周期,如果你想,可以尝试下
So it's OK to not specify. I want to point out, pz whether you're in the p x, the p y, or the p z, unless a question specifically m asks you to specify the m sub l, which occasionally will happen, but if it doesn't happen you just write it like this.
我想指出的是,无论你在px,py或,除非一个问题特别地,让你指出l下面的,这种情况有时会发生,这样就可以了,但是如果它不做要求你们写成。
Now, this is a pretty familiar widget of little gadget that you might see on most websites today, but my God, what an uninteresting problem to solve ourselves.
这是一个大家都很熟悉的小工具,现在在大多数的网站上都可以看到,天哪,如果我们自己解决这样的问题那将是多么无趣!
So if we do this and we form the molecule ammonia, let's switch to a clicker question, and have you tell me what the bond angle - is going to be in ammonia -- HNH Actually, let me draw it on the board as you look -- actually, can you put the class notes on, since you don't actually have your notes to refer to.
如果这样做的话,我们就可以形成氨分子,让我们来做一个课堂练习,你们告诉我氨分子中的键角是多少-,键角,the,h,n,h,bond,angle。,实际上让我在黑板上画出它来,这样你们可以看到实际上-,你能把课堂讲义放出来吗,因为你们没有讲义可以参考。
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