So, I joined the faculty in 1978, 091 and my first teaching assignment was 3.091 recitation. I had two sections.
我在1978年的时候加入了教职的一员,我第一个教授的课程就是3。,当时我的课程分为2个部分。
I thought London gives me enough to do for the next four years while I am studying to have a life.
我觉得在我学会在这里生活的时候,伦敦给予了我足够在未来四年里可以做的事情。
So what should I do? Actually I lied, by the way, when I said the answer was over there.
我应该怎么做呢,实际上当我说答案,在那儿的时候我撒谎了。
I remember when I was a student of one of the biggest classes at the University of Michigan--go blue!
我记得在密歇根大学读书的时候,我们在橄榄球赛的时候会喊"冲啊 蓝色军团"
What I've learned which I appreciate so much is just to be reminded that I'm not alone, even I felt alone a lot of the times.
我所学到的让我珍视的,是提醒自己并不孤单,即便很多时候我感到孤独。
Every time they're changing You know everytime I say change, and eventually you will be hearing there's the same change, too.
他们变化的时候,你知道当我说,变,的时候,你听到的音乐也随之改变了
So when I refer to the Morning Star, I'm talking about Venus, whether or not I realize it's Venus.
所以说,当我谈到晨星的时候,我就是在指金星,不管怎么样,我认为那是金星
now I'm really fantastic at drawing this mechanical device, but you can imagine that dropping a weight can cause a paddle wheel to turn.
机械装置的时候,我真的很着迷,你可以想象,当重物掉落的时候会带动桨轮旋转。
I've enjoyed reading him so much that when I was asked to write a book about him, I agreed to do so.
因为我非常喜欢他的书,所以有人邀请我写本关于他的书的时候,我就答应了。
But when I actually start to spend the money, I told my people, "We need to spend this over the next 12 months.
当我开始使用这笔资金的时候,我告诉我的员工,这笔钱要维持公司运营12个月。
I've been teaching long enough to know that doing derivations in class is equivalent to pouring ice water on the proceedings, so I do this sparingly.
我已经教了这么长时间书,所以我知道在课堂上讲推导,就好像泼冰水一样,所以我在讲这个的时候很小心。
It helped me in my mind sort of take that step that I was otherwise just a little too hesitant to take in my freshman year.
当初这让我下定决心,虽然当时我还有点犹豫不决,那是在我上大一的时候。
This fellow wrote: I should be very ashamed were I to fall and people have to help me and realize that I could see only very little.
他这样写道:,当我跌倒了人们要帮助我的时候,或者我意识到自己只能看到很少东西的时候,我会感到很羞愧。
If I consume Bud Light, then I have to pay for the Bud Light, I think it typically costs less, the price, the raw price is less than Guinness but I also pay an additional cost from the fact that Bud Light, when I drink it, causes me "disutility": we'll put it politely like that.
如过我买百威淡啤酒,我必须要支付百威淡啤酒的价格,我想它会便宜点,原材料的价格比吉尼斯低,但我同样要支付附加成本因为百威淡啤酒,当我喝它的时候,味道一般,我表达得委婉一点
I chose English Literature because when I started off a university, I didn't know what it was I wanted to do.
我选英语文学是因为当我刚上大学的时候,我不知道自己到底想做什么。
So, I don't even have to worry because you're not writing this down, so I can just fix it when I post the notes and no one will ever know, except that this is not OpenCourseWare.
所以我甚至不用担心,因为你们不会把这个写下来,所以我可以在我给出讲义的时候再修改,而且不会有人知道,但除非这不是公开课。
I've got to tell you that I realized fairly late in life they are more subtle than I imagined the first time.
我得告诉你们,我是很晚的时候才意识到,它其实比我之前想象的要精妙得多
So, I'll also put this up on Wednesday, and by Wednesday you might have a bit of a better -be in a better position to answer this question.
我周三的时候还会给大家呈现这个,也许到周三的时候,你们就能更好地回答这个问题了
Well mommy used to take us to Chamonix for the--pour les vacances d'hiver." Or, "Our apartment next to the Tour d'Eiffel gave me contact with zee French people."
放寒假的时候,我妈总带我去霞慕尼",还有的说,我家就在艾菲尔铁塔旁边,我跟国人接触的多"
There's a sense that in this memory the poet somehow saw the name-- presumably, I suppose, saw it on a signboard in the station, as you roll into the station and you see where you are.
在这种记忆中诗人不知怎么地-,我猜想他在看这个题目的时候,是在火车站的布告板上看到的,当你们涌进火车站看自己在哪的时候。
When I was a student here at Princeton, graduating, if you told me I was going to have any one of those three jobs at some point of my career, I would consider that an extraodianry stroke of good luck.
在我还在普林斯顿上学的时候,毕业的时候如果你跟我说,我将在职业生涯的某一点,拥有这三个职位中的一个,我就会觉得简直是,太幸运了。
And yet the concepts go into my interests and people, they are literary and it's a mixture of the two that when I'm looking and if I'm successful - which is, not very much amount of time, I put into my writing, so this is something worth exploring.
这些概念成为我兴趣的一部分,人是文学的,是二者的混合,当我的观察卓有成效时,-这种时候不常见,我就将观察记述下来,这是值得探究的。
I guess, I, I think the reason I did is because about the time to do it is college, I think.
我想,我认为我这么做,是因为大学该是时候这么做了。
If I look at the Cartesian, oh, I did have the Cartesian form, don't mind me while I mutter to myself here quietly.
如果我来看看这个笛卡尔,哦,我还没有笛卡尔形式,当我自言自语的时候,请大家别介意。
But as I look at it, whether in reality or in my mind's eye, I'm looking at it from a perspective.
但我看着这个的时候,当我的脑中浮现画面,我就是从某个视角在看的。
It's a common mistake to make if you forget that I've actually declared that variable up top, but wait a minute, I know any time that I use a variable, I have to declare it.
这是一个通常犯的错误,如果你忘了,之前在前面已经声明了这个变量,等等,我知道在任何时候,我使用一个变量,我必须声明它。
First one, when I write a piece of code, especially code that has branches in it, when I design test cases for that piece of code, I should try and have a specific test case for each possible path through the code.
第一点,当我们写代码的时候,尤其是一些含有分支语句的代码的时候,当我为这些代码,设计测试用例的时候,我应该为每一个可能的程序路径,都设计一个特别的用例。
Anybody have an idea? What's the one function of state? I'm the system, the rest are the surrounding. What's the one function of state that's constant when I'm doing all my chemical reactions to move my arms around?
态函数又是什么呢?,我是一个系统,其余的是周围的环境,那么当我在做所有的化学反应,去四处移动我的手臂的时候,什么量是常数?
I knew you in this dark: for so you frowned Yesterday through me as you jabbed and killed.
在黑暗中我认出了你,刺戮屠杀我的时候,你和昨天一样皱着眉。
I've got some internal variables I have to store, what kinds of things do I have to keep track of?
计算的时候需要占用多少内存,我需要存储一些内部变量,我需要记录哪些东西呢?
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