And this spin magnetic quantum number we abbreviate as m sub s, so that's to differentiate from m sub l.
这个自旋磁量子数我们把它简写成m下标s,以和m小标l有所区分。
They have these things called tiger tails which you like, tie onto your pants and it's like "I'm a little tiger."
他们有这些被称作“老虎尾巴”的东西,当你把它系到你的裤子上,你自己就仿佛是只“小老虎”。
So finger-pointing at the start of each list, 6 is indeed less than 8 so I'm gonna write it down first.
手指指向列表的开始,6肯定比,8小,我先把它写下来。
Poor little Laura, my baby, to whom I had told everything about Dean, began almost to cry."Oh, we shouldn't let him go like this.What'll we do?"
可怜的小劳拉,我的宝贝,我曾经把狄恩的一切都告诉过她,这时她几乎要哭了:“噢,我们不能让他就这么走“
Being unimaginative boys, they called themselves "The Eagles" and "The Rattlers" but as--what happened was, being separated they developed distinctive cultures.
这些没什么想象力的小男孩就把队伍取名为,“老鹰”和“响尾蛇”,接着,分组以后,他们就形成了各自的文化。
Where those pieces, I would do the same thing with, I would divide them up into smaller chunks, and sort those. Is that going to give me a more efficient algorithm?
合并起来,而那些小列表,我又会把他们拆成更小的列表,再排序,这会给我,一个更高效的算法么?
So, you've got polonium or thorium sitting inside this leaded box with one opening.
把钋或者钍放在,开一个小口的含铅的盒子里面。
But with the revolution of democracy in Athens, which also spread then to other Greek cities, partly because Athens did what George Bush tried to do in Iraq, they tried to force democracy on other Greek cities around the Eastern Mediterranean also.
但随着雅典民主革命的进行,这场革命随后传到了其他希腊城市,原因之一,类似小布什在伊拉克的计划,雅典企图把民主制度,推行到地中海东部的其他希腊城市。
You get glob if you mix it you get globlets of oil, or globlets of triglycerides, they're floating around in the fluid if you mix it.
你得到了一团东西,如果你把它们混合就会得到一堆小油脂团,或者说一堆甘油三酯团,如果你搅动它的话,油脂会浮在水上
R And we abbreviate that by calling it r, l by two quantum numbers, and an l as a function of little r, radius.
我们把它简称为,两个指定的量子数n和,它是半径小r的函数。
I'm just going to blow up that box.
我把这个小方格画大一点
He's got her on a string, right?
小汉斯想把妈妈拴在绳子上,不是吗?
Now the part of the essay just prior to this explains that he gave this little quiz that you see to some college students when he was giving a lecture.
在先前已经解释了这篇文章的一部分,他把你们所看到这个小测试在他的讲座上,给一些大学生做了。
OK. Binary search is perhaps the simplest of the divide and conquer algorithms, and what does that mean? It says, in order to solve a problem, cut it down to a smaller problem and try and solve that one.
好了,二分搜索也许是,最简单的分治算法,这意味着什么?,也就是说,为了解决一个问题,把它切割成小的问题,然后再来一个个解决。
Again, for those-- for whom this is blocked, I'm just dividing the rectangle into smaller squares which is to say that memory is addressable.
这是一整块的,我只是把它划分成一个个小区域,每个小区域都可以设定一个地址。
The problem is in the second part they're throwing the rabbit at him but now he's okay.
问题是,在第二段影片中,他们是把小白兔扔过去的,不过,现在他已经不害怕了。
So, what we can do to actually get a probability instead of a probability density that we're talking about is to take the wave function squared, which we know is probability density, and multiply it by the volume of that very, very thin spherical shell that we're talking about at distance r.
我们能得到一个概率,而不是概率密度的方法,就是取波函数的平方,也就是概率密度,然后把它乘以一个在r处的,非常非常小的,壳层体积。
Moving a stack of size 3, again, if I want to go over there, I need to make sure I can put the spare one over here before I move the bottom one, I can't cover up any of the smaller ones with the larger one, but I can get it there.
移动上面的三个圆盘的话,我在移动最底下的圆盘之前,同样要确保剩下的,是在另外一个柱子上,因为我不能把大的圆盘,放在小的上面。
So this is very similar, this is a kind of recursive thinking we talked about earlier, where we take our problem and we make it smaller we solve a smaller problem, et cetera.
我们则跳过比猜想数小的那个区间,然后我们重复这一过程,跟之前我们讲过的,递归思想非常类似,我们解决问题的时候,先把问题一步步变小,然后解决小问题。
So to just preface what we're going to do next time, what would happen if I wanted to do sort, and rather than in sorting the entire list at once, I broke it into pieces, and sorted the pieces, and then just figured out a very efficient way to bring those two pieces and merge them back together again?
所以为了引导下一次,我们要讲的内容,如果我想做排序,而且不是一次吧整个列表排完,会发生什么,我把它拆成小的列表,然后把各个小列表排序,接着用高效的方法再把小的列表?
They carry a potential, that is, if you could - if you had a tiny, tiny electrical meter, you could one put one electrode on one side of the cell membrane, on the extracellular side and one on the intracellular side and measure, you would measure a potential difference; just like a battery you would measure a potential difference.
它们带有电势,就是说,如果你能有一个足够小的电位计,可以把一个电极放在细胞膜一侧,假设放在细胞外的一侧,另一个电极放在细胞内侧并测量,你能测到一个电势差,就像电池那样能测到电势差
Sorry about this. Those of you in the back, feel free to move forward.
我想把字体调的小点儿,这样我们就能看到更多的内容了。
And when I do this test, what I want to do, is say I'm going to pick the middle spot, and depending on the test, if I know it's in the upper half, I'm going to set my start at the mid point and the end stays the same, if it's in the front half I'm going to keep the front the same and I'm going to change the endpoint.
如果我知道目标数可能,再比中值点大的区间里,我可能就会把开始点设为中值点,而尾点不变,如果在小的那个区间里,就保持开始点不变而把尾点设为中值点,你们可以看到这儿的代码,就是这么做的,对不对?它是怎么做的?
He often described them as little scientists.
他常把儿童称为小科学家
Imagine I have a little lamp, a little goose- one of those little gooseneck lamps, I'd put it on the table here, I'd put the height about a f-- about a foot off the table. And if I was really good, - I could hit, or time it so that when I hurt- yeah, try again. When I turn this on switch on in the lamp, at exactly the same time, I'm going to hit a key on my computer and start it running.
想象下我有一个那种小雁颈台灯-,我把它放在桌子上,大概离桌子,有一英尺那么高吧,这样挺好的,我可以打开-,或者关闭这灯,并在这同时,我可以让我电脑,开始运行。
You can even implement your own versions of some of the most popular console games today for which I need another volunteer.
现在你就可以编写程序,把当下最流行的控制台小游戏,改造成自己的版本,现在我需要再上来一名志愿者。
And then, three: if not, reduce to a smaller problem, and repeat.
把问题缩减成一个更小的问题,然后重复,恩,这看起来很清晰了,是的。
If we think of the size of a typical atom, we would say that would be about 10 to the negative 10 meters. So, we can see the diameter of a nucleus is absolutely smaller really concentrating that mass into a very small space.
一个普通细胞的大小,抱歉,我和细胞核搞混了0,如果我们考虑,一个普通原子的大小,这大概是10的负十次方米,所以原子核的直径确实非常小,真的是把质量。
She shoved a tiny spade into my hands.
她把一个小铲子塞到我手里。
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