So there was a good question in Wednesday's class about the de Broglie wavelength and if it can actually go to infinity.
在周三的课上有个关于德布罗意波波长的问题,非常好,就是它能不能到无穷大。
And I produce different events, and I actually just had a big opening this past weekend. I had forty seven artists,
我创作不同的作品,而实际上,上个周末我刚办了一个开幕式。我请来了四十七个艺术家,
OK, then it says draw a single bond from each surrounding atom to the central atom, and subtract two valence electrons.
后将中心原子与其相邻原子之间,连上单键,然后减掉2个价电子。
In fact, it's a specific person's brain, and what's interesting about the brain is that little white mark there.
实际上这是个特殊人物的大脑,有意思的是,大脑上有个白色的小标记
At one level, you might say there is an important difference in style that you will see almost immediately.
在一个层面上,你可能会说有个重要的差别是风格,我们马上就会看到。
Where on the picture, let me do a bit more cold calling here, where on the picture maximizes total industry profits?
我随便找个同学来回答一下,在图上哪一点实现了行业最大利润
On last week too we saw-- and in your projects you might have seen a so-called repeat loop.
在上个星期-,在你们的工程里面,可能会看到所谓的,“重复循环“
Any frequency can't have an energy, you have to -- you don't have a continuum of frequencies that are of a certain energy, it's actually punctuated into these packets that are called photons.
任何频率不能有个能量,你必须要-对某一个能量上,你不会有连续的频率,光子实际上分立的存在。
And of course, that's what the overwhelming portion of the investment community did in the 1930s, and in the 1940s, and in the 1950s.
当然,绝大部分投资机构,在上个世纪30年代,以及40和50年代就是这么做的
The third source of ritual impurity would be genital discharges, both normal and diseased.
第三个仪式上不洁的来源是生殖器排放,包括正常的和有疾病的。
Now you do have an opportunity-- this class does- that my class has never had before, and that is to nominate your own novel for the last one that we read, one of your choice.
现在你真的有了个机会-,在我的课上有了个机会-,去推荐一本小说作为我们的最后一本读物,你们自己的选择。
It's a longish poem, not in your anthology, but you can find it in The Complete Yeats, and I've given you on this handout page just a couple stanzas from it, so you have a sense of it.
这是一首很长的诗,你们的选集里没有,但在叶芝全集里可以找到,我给你们发的材料上就有,只是其中的几节,你们可以大概有个了解。
Suppose the soul theorist answers that last objection by saying,Ain't ever going to happen.
假设灵魂理论者对上个异议的答案是,这事情根本不可能发生。
Remember last time, I said that there's different kinds of complexity in our code, and I suggested for simple branching programs, the amount of time it takes to run that program is, in essence, bounded by the number of instructions, because you only execute each instruction at most once.
但是这里有个很重要的点,记得上节课,我提过在我们的代码中,有不同种类的复杂度,而且我还说了对于简单的分支程序,运行这种程序需要的总体时间,大体上,是和指令的数目相关的,因为每个指令只会被执行最多一次。
In the first example, you could be at a social gathering and you really feel the need for some nicotine.
在第一个例子中,你可能在一个社交聚会上,你特别想找个地方抽根烟。
And she told me it was this huge toy store and she like, found a picture in a magazine.
然后妈妈告诉我那就是个很大的玩具店,还在报纸上找了一张照片。
And then linked to the glycerol instead of a third fatty acid chain is a water soluble molecule, like a salt.
但连到甘油上的第三个基团不是脂肪酸链,而是一种水溶性的分子,像盐一样
As I told the teaching fellows, I had a colleague in those days who looked at me enviously and said he wished he had the black leather concession at the door.
我跟学生讲,有个同事特别羡慕我,希望自己的门上也有那样的黑色皮革。
For that reason, if you wanted to win a court case, it helped-- - or have somebody represent you in politics or all kinds of things-- it helped to have strong patrons.
所以如果你想赢诉讼-,最好找人在政治及其他事务上代表你-,有个强大的庇护人很重要。
Okay, but it may be-- how many national anthems around the world do we have in minor keys?
好了,但是也许,世界上有多少个国家的国歌,采用的是小调呢
There are 35,000,36,000 communes in France, that is administrative units.
法国有35000,36000个居民点,这是个行政上的单位
What I'd like to do--and this will be the first time I've the clicker thing in the class so let's try out this little quiz and see how it works.
我想要--这是我第一次,在课上使用表决器,所以我们先做个小测试看看效果如何
A seed,a strength,a virtue,a competence that other teachers did not see, because they did not ask this question; because they asked,metaphorically speaking, ?" "how many geometric shapes do you see on the screen?"
潜能,优点,品德,能力,这些是其他老师没看到的,因为他们没提出这个问题;,打个比方,他们只会问,“你在屏幕上看到多少个几何图案“
And what if I took a unit charge and I multiplied it times unit voltage, one volt?
如果我取个元负荷,让它乘上个电压单位,一伏特?
So, doing those probability density dot graphs, we can get an idea of the shape of those orbitals, we know that they're spherically symmetrical.
概率密度点图上,我们可以对这些轨道的形状,有个大概了解,我们知道它们是球,对称的,我们今天不讲。
And it's the windows in the firmament that are opened--those waters are allowed to rush in and dissolve that air bubble.
而在天空上有个口,水可以从中涌入,溶解这些气泡。
These are not actually from last spring, but they're typical enough that I was too lazy to make some new quotes.
这些成绩不是来自上个学期,但是他们足够典型了,以至于我都懒得举新的例证。
You can kind of see where the syntax is going, looks like a loop, but you can kind of put blocks inside of you, and the little arrow suggests that once you get to the bottom just like our socks example, you're gonna do the following again.
从某种程度上你可以看到它的语法构成,像个循环,你也可以把,一些程序块放到循环中,如同短袜的例子,这个小箭头暗示你一旦到达底部,你将会重复接下来的事情。
As one of the great readers of Plato : of the last century once said, "Only the surface of things " reveals the essence of things."
如同上个世纪一位重要的柏拉图读者,曾说到,“仅有事物的表面,尽展其精华“
What I looked at--and I have this on the website, I have a chart showing corporate profits taxes paid, as a fraction of corporate profits for the United States since 1929.
就我所观察...关于这点在网站上有说明,我有个图表展示了自从1929年以来,实缴企业所得税占公司利润的百分率
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