If I told you 3x + 2y = 9 and 4x + 6y = 6, you certainly know how to solve for x and y, right?
如果我给出 3x + 2y = 9,和 4x + 6y = 6 这两个方程,你们肯定知道怎么解出 x 和 y,对吧
with the economic downturn in recent times, it certainly does, you know, look not so encouraging,
近期的经济衰退让境况看起来没那么振奋人心,
I don't know if that's true of you, but it certainly is true of people of my generation.
我不知道你们是不是也这样,但对于我们这代人来说确实如此
And so it wasn't all that many years ago frankly that you know, certainly, people in this class were still using these things.
这跟多年前完全不一样,当时我们用的就是现在我手头的这种。
You know, I certainly wouldn't mind if Bill Gates give me a million dollars.
我当然不会介意,盖茨给我一百万。
I will be also making them available at Allegra for people who would like to just purchase them already printed out so you don't do it yourself, but I know some people really prefer to work online--and certainly for the first week of reading, you can get started because it is online.I don't think things will be available at Allegra's until probably tomorrow afternoon.
我也同样会让这些书的纸质版,能够出现在学校书店这样喜欢读纸质版的同学,就不用到处去买了,但我知道有一些学生更喜欢,在网上阅读,当然第一周的阅读材料都已经放在,放在网上了你们可以开始阅读,所有的阅读材料,在明天下午后都能在学校书店里买到。
So, if you feel there's not enough math used, I guarantee you that I certainly know enough eventually to snow the whole class, but that's not the point.
如果你觉得我用的数学太少,我可以保证,我知道的数学知识,足以难倒在座的所有人,但这不是重点
But as many of you know, and certainly you will find out here, they had pretty clear ideas of who ought to have those individual liberties and who would not, who indeed were born equal and who were not.
但是正如你们许多人知道的,当然你们在这里也会发现,他们非常清楚,谁该拥有这种个人自由,而谁不该,哪些人天生就是平等的,而哪些人不是
you know, there're...it's not quite as celebrity, not quite as hip, but it's certainly, certainly still, you know, a lot of rich, rich people.
那儿有的……不一定是名人、时尚人士,但肯定是许许多多的有钱人。
It was certainly different, you know, different scents than here in Morningside Heights
那儿非常不一样,和晨边高地相比,它散发出一股不一样的气息,
Well, we certainly didn't know on day one how many times each of you was going to want to call get string, how many words a user might type when you call get string.
好的,当然我们不知道第一天你们,想要调用GetSting多少次,当你调用GetSting时,用户会输入多少单词。
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