But because you only have a finite number of bits, the takeaway for today is that there's only so much precision.
因为只有有限个比特,今天的重点就是,它就这么点精度。
I've decided not to pass it out today because, after all, I want to get it into the right hands!
我今天不会把它发下来,因为我想给发正确的人!
Socrates is not harmless because of his own professed ability to attract followers, a few today, a few more tomorrow.
苏格拉底并非无害,因为他擅长吸引信徒的能耐,今天几个,明天再几个。
That's true. People, when he died, not as much now, spoke of him has been terribly overweighed, because it was.
是的,他死后可不像今天这么受欢迎,人们都说他太肥了,因为这是事实。
This is actually something very near and dear to my heart because I literally would not be doing what I do in life today had I not taken a couple of courses here, this one in particular, pass fail.
事实上,我是很关心的,因为今天我就不会站在这里,如果当初我没有这里上课的话,这门课,要么过要么挂科。
So I'm not gonna give it a lot of time today because I'm gonna go to class now and study and then have lunch.
因此,我今天不会过多地谈论这一点,因为我还要上课,学习,然后吃午饭。
And we'll really get to see a picture of that, and I'll be repeating that again and again today, because this is something I really want everyone to get firmly into their heads.
而且我们将会,真正地看到一个图片,我今天也会反复的强调这一点,因为这是我想让你们每个人,严格的记在脑子里的东西。
I don't happen to have one today because we're not going to do a lot of code.
今天我恰巧没带来,因为我们不会做很多代码。
Because the condition of the amplifier this morning, you can't hear what that is.
因为今天早上功放有点问题,你没法听清到底是什么
I want to derive the last result in another way, then I will stop, and that's pretty interesting because it tells you the use and abuse of calculus.
让我用其他方法解答最后一个问题,然后今天就到这 这是一个挺有意思的题,因为它展示了微积分的正确用法和错误用法
And that makes it for me a very exciting time to study this because the problems aren't solved in the way that bridge building is largely a solved problem now.
对于我而言,这是一个非常激动人心的时代,因为一百年前桥梁建设中难以解决的问题,在今天都得到了解决
It's getting better year by year and the course of finance over your lifetime will be dramatic, so the financial institutions that we have ten years from now will look very different from the ones we have now.
年复一年,金融技术越来越出色,而在你们的有生之年,金融学的课题,都将引人注目,正因为此,和今天的金融机构相比,十年后的金融机构,会有着巨大的差距
But fortunately,again,this is why positive psychology as a network of scholars applying themselves to these ideas and ideals. It's so important because today you'll see throughout the semester that there are so many more tools that we can apply to our lives, to go beyond the zero.
但幸运的是,这就是为什么要学习积极心理学,大量的学者致力于,研究这些观点,它意义非凡,因为今天你们会看到整个学期的概览,有很多方法可以让我们的生活质量,达到正值。
Come on down. Your role has just been changed because you're not wearing any socks today.
过来吧,你的角色刚刚已经改变了,因为你今天没有穿袜子。
I'm gonna do it a couple of times today because I think it's such an important book.
今天我可能会提到好几次这本书,因为这本书实在是很重要。
Would you like to say since most of you haven't yet look today, see the Magnificant Ambersons?
你们还想说什么吗,因为大部分人还没有看,今天的《巴纳逊一家》
It ought to mean "to go forward" with everything behind it, but needless to say her thoughts on the subject were never implemented because if one day red light means "stop" and the next day red light means "go," there might be a few problems.
它因该表示勇往直前,当然她的想法没有实现,因为如果红灯今天表示停,明天表示走,会天下大乱的。
Incidentally, we have a problem set, which I want you to start today and it will be due not in a week this time, because we have Martin Luther King Day coming up, but it will be due the Monday following that.
顺便说一句,我们有一套习题,我希望你你们从今天就开始做,不要求下个礼拜交,因为马丁·路德·金日要放假,等放完假后的礼拜一交
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