Congratulations again to those that did well and let's do what we can to get everybody over to the right of that blue line.
再次鼓励那些取得好成绩的同学,让我们做我们能做的来让每个人,过及格线。
like he was the hardest... that I was the hardest worker he had seen in sports in like 10 years.
他是训练最刻苦的……我是他这十年来见过的训练最刻苦的球员。
And we can calculate that with the formula that we used, which was just n minus l minus 1 equals the number of nodes.
这个我们可以用我们以前用过的那个公式来计算,也就是节点数等于n减去l减去1
I'll give you--in one of Kahneman and Tversky's examples, people were asked to judge the occupation of a young woman.
卡尼曼和特维斯基给过一个例子,让人们来判断一个年轻女性的职业
So, please don't bring in your attorney if I didn't ask a question that's identical to one that you've worked.
因此请不要带你的律师来,如果我没有考的题目,和你做过的题目相同的话。
What in the world does that have to do with my divisor example? Well, actually, before I do that let me in fact fill in a piece here.
那么这到底跟我的除数的例子有什么关系呢?,好,实际上,在我讲之前请我先来补充一点,大家还记得我说过,我们可以概念上认为。
Now, for those of you who took Economics 115 or equivalent, what is the name of this line I've just drawn?
我来问一下学过经济学115的同学,这条曲线叫什么名字
Fast forward mid-semester when we talk about cryptography and scrambling information, we need the ability to express ourselves in words, not just numbers, and we have that already.
回想一下期中的时候,我们讨论过密码学,和一些不规则信息,我们需要话语来表达自己,而不是数字,其实我们已经有了。
Start with a familiar fact, which I've already drawn your attention to a couple of times, that you can have a body that's dead.
我们以一个熟知的事实开头,我已经多次提到过,以死尸来说明
So I wrote a chapter on him called Jean Cocteau and the poetry of film.
我曾写过一章来写他,章名叫,让·科克托和电影诗歌。
We talked about the Celsius scale then the Fahrenheit scale.
下面我们继续来讨论温标,我们讨论过。
But I showed you in the end how we can use calculus to derive that.
我上节课最后教过你们,如何用微积分来得到那个结果
Let me begin by just reminding us where we are in this course, reminding us of what we've done and what we have yet to do.
我们先来回顾这门课程,学到哪里了,回忆一下我们学过的,以及将要学的。
I guess Apollo must have then said, he's reached wisdom and so he sent a rain storm to put the fire out and he lived through that.
我猜阿波罗一定曾经说过,他很有智慧,所以就派遣暴风雨来浇灭火焰,而他也确实经受住了这一切
I'm going to present you one of the most dramatic examples we've seen of differences in brain activations in these areas, and how these differences can be remedy.
下面我就来给大家展示一下,我们所见过的最令人吃惊的,有关这两处区域活动不同的例子,同时也会介绍如何治疗这些不同。
Very high correlation between the two which in many ways gives credence to the many years of research that has been conducted, before we have the technology to do it in a more sophisticated way.
两者有很大关联,这在很多方面,给多年来进行过的研究提供了可信度,在拥有技术进行更全面的研究之前。
but you also have a lot of people coming in from different parts of the United States that hadn't been there before.
你也能看到许多来自美国各个地区的人们,他们之前从没来过纽约。
You regulate your breathing rate in order to accomplish that and we'll talk about this in a couple of weeks.
人们调节呼吸的频率来获得足量的氧气,我们过几周会讲到这方面内容
I know they have said that, you know, after we declared our surge policy that they will send more troops.
我知道他们说过,我们宣布增兵计划后,他们会派来更多的士兵。
Back to our hypothetical, you know, our initial discussion of Flaming Hot Cheetos: by his definition that would not qualify as food.
再回过头来谈谈我们之前的假定,我们曾讨论过关于火焰辣奇多的问题,按照他的定义,奇多不能算作食物
Homer and Virgil and, well after them, Dante and innumerable others have all applied the simile of the leaves or some version of it to describe the numberless-ness of the dead.
荷马,维吉尔,在他们之后还有但丁,以及无法计数的曾经用过这个落叶比喻,或者变种版本来形容死者的数量极多的其他诗人们。
He's an older fellow. He's sort of my age and the reason I mention Chuck Mangione is that years ago I went to school with him.
他稍年长些,差不多和我一样大,我之所以拿查克·曼卓林来举例,是因为很多年前我和他一起上过学
So, I've never heard the click-click-click-click-click, and we might bring a Geiger counter in here some time later in the semester so we can check all of you out, and hopefully we won't hear any when we do that either.
但我知道如果,你听到哒哒哒的声音,就表明你有麻烦了,我从来没听到过哒哒哒的声音,也许以后我可以带一个,来课堂上检测你们每一个人,希望我们不会听到哒哒哒的声音。
You kept your Social Security card and you pasted stamps on it that proved that you paid it.
你取得社会保障卡,并将邮票贴在上面,以此来证明你已支付过钱。
This is boring. In fact, you can do some nice things to prove what is the class of functions you can compute with straight-line programs, and what you'd see if you did that is, it's not particularly interesting.
这很无聊,实际上,你可以通过做一些很有趣的事情,来证明你可以通过直线程序,来做很多功能,但是你也看到我们之前讲过的了,这不太有趣。
All right, so that was a quick aside on thinking about how these properties can, in fact, relate to something in our body.
好的,我们刚才小小地离题了一下,来想了想我们讲过的性质,在实际上,是如何跟我们身体的某些机能联系起来的。
We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.
在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。
For most people, that's a difficult concept and-- I think I may have mentioned some of this before, but let me give this history.
这个概念对大多数人来说有些难,我记得我之前提及过其中一些,但还是让我来讲述一下它的历史
She said in front of him, " She said "I was here a month ago."
她在他面前说,她说“一个月前我来过“
Croesus asked Solon to tell him who is the happiest, the most fortunate--both of those things contained in the words he uses--that he had ever seen.
克罗伊斯问梭伦,谁是你见过的,最幸福,最幸运的人,他用了一个词来表示这两重意思
应用推荐