Now, recruiting is tremendously important because you need to have a certain number of settlers to make the settlement viable.
招募是极其重要的,因为你需要有一定数量的移民,来维持居住地的运转
in the case of English, you're lucky because there is a lot of recorded English out there to listen to.
比方说英语,你很幸运,因为有很多录制好的英语磁带可以听。
And the problem is, that we want to build this abstract data type, but we'd like to basically know what kind of object is it, and what functions actually belong to it, how do we use them?
然后我对它们运行了这个方法,就是这一小段代码这个方法,这有意义么?,当然没有了,对不对?,因为你知道,当你把两个极坐标,表示的点进行相加运算的时候?
It's just fascinating as a reader and an interviewer to be taken into other communities.
做个读者或者采访者确实很有吸引力,因为你能进入别的群体当中。
Because we do try to give as much partial credit as possible in these exams, since there are a lot of places where small mistakes can result in the wrong answer.
因为我们会尽量把能给你的步骤分都给你,在对于这种考试时,因为有很多地方,只要出一点小问题就会导致最后结果出错。
But the mathematicians told Dirac, "You cannot ignore the negative energy solution because it tells you there's a second solution and you cannot throw them out."
但数学家们告诉狄拉克,你不能忽略负的能量,因为数学告诉我有两个根,你不能随便丢掉
It's on the gene for hemoglobin and the hemoglobin that you produce if you have sickle cell anemia is not quite right because there's one base difference.
这个缺陷基因和血红蛋白有关,如果你有镰状红细胞贫血症,那你所产生的血红蛋白就不太正常,因为这里有一个碱基不同
Because you have to be a knower in order to have knowledge.
因为你要获得知识必须要有认识能力。
You have an incentive to say, because you're the equity holder, you have an incentive to say, hey why don't I just take some big gamble here and not tell anybody.
因为你是这家公司的股东,可能就有动力促使你这样想,我干嘛不来赌上一把呢,我不会告诉别人的
Because Roman legal structures-- and they even said this in Roman laws-- if you're a judge and you have a rich man and a poor man in your court, of course you're going to decide for the rich man, because the poor man has incentive to cheat; he's poor. But the rich man already has money, he doesn't have any incentive to cheat.
因为罗马法律结构。。。,甚至罗马法律中就这么写着。。。,如果你是法官,一个穷人和一个富人,同时出现在法庭上,你当然会偏袒富人,因为穷人有欺骗的动机,贫穷;,而富人已经很有钱了,没有动机再去行骗。
And, you know, when you go up there, as you go up to Montmartre, it's incredible--because I was there once very, very late in the afternoon, and oddly enough I met this woman who went there every day, and I said, "why do you go there every day?"
你知道,当你去到那边,当你去到蒙马特高地,那简直不可思议,因为有次下午很晚了,我在那边,很神奇的,我遇到了一位妇人,她每天都到那里去,我就问她,"你为什么每天都来"
There're also changes of what you can teach, extends what you can teach, because you can get to concept which are really quite sophisticated that you will never teach it at the introductory level, because the math is the least that you can make it quantitatively, because you have a visualization that shows physically what's going on.
同时这也能改变,教学内容,你能教授的程度,因为你可以定义,那些通常很难的,你在入门阶段都不会遇到的,抽象阶段,因为数学是你最不能,用定量手段来解决的,因为你有一个直观过程,知道什么正在进行。
because I do have elements that I really agree with such as you have to do community service.
因为这当中有我十分赞同的部分,比如你必须参加社区服务。
But just realize as a teaser coming for problem set 1 will be instructions on how to activate your so called cloud account and it's on the CS50 cloud that you'll be writing your programs, compiling your programs, testing your programs, running your websites ultimately.
如果大家觉得难的话,习题集1上有一些说明,教你如何,激活你的云账户,因为你们只有在CS50云上才能编写程序,编译,检测,并最终运行。
this time, because of the rain and the traffic, you're going to not be able to be on time to see your brother.
但这次你有一种感觉,因为雨天湿滑与堵车严重,你没法准时去见你的兄弟了。
Because you have super models walking on the street next to you all the time
因为在大街上,你会发现你的旁边总有超模经过,
Because, you know, there are patterns in the prices that things sell for.
因为,你知道,东西的价格是有意义的。
And you went along with that feeling the next day, because in school they started to talk about how you got in.
第二天,你还会有这种感觉,因为学校的人开始谈论你如何考上。
I know table salt is white, but that is because you have power and you have multiple surfaces scattering, but a large crystal of sodium chloride is clear and colorless.
我知道食用盐是白色的,但这是因为你让它成了粉末,因为有了多个散射面,但是一个大的氯化钠晶体,是无色透明的。
It's deep and you better take a flashlight because it's as black as it can possibly be.
它深不见底,你最好带上手电筒,因为它要多黑有多黑
And so in Exodus 23, you're going to have a law that tells you not to oppress a stranger because you were a stranger. It tells you to not plow your land in the Sabbath year immediately following that to let the poor and needy eat from it. It tells you to observe the Sabbath day rest.
在《出埃及记》第23章,你会看到有法令告诫你不要,欺压外人,因为你自己也是外人,也有法令告诫你,在安息日不要劳作,随后将收获的庄稼赠给穷苦之人,和有需要的人吃,告诫你守安息日。
because it's, you know, got a lot of violence in it, I guess.
因为,你知道,里面有很多暴力,我猜。
You also have experience of that because you came from New York University, in fact you still serve at New York University.
你也一定有类似的经历吧,因为你之前是在纽约大学读书,先在也在纽约大学留任了。
You know, your mother always told you to eat brussels sprouts because it was good for you.
你知道的,你的母亲经常会,让你们吃球芽甘蓝,因为这对你身体有好处。
We also have active visualizations because there's a lot of research showing that if you're actively engaged in something that solidifies the learning objectives we're taking home.
我们同时也有主动性直观化,因为很多研究结果表明,如果你积极地参与,到一些使学习目标具体化,的活动中去的话,便能真正理解它。
There's only one occasion where it helps to go to three dimensions because there are certain things you can do in 3D you cannot do in less than 3D.
只有一种情况下进入三维是有意义的,因为有些事情你能在三维空间内完成,但低于三维就做不到了
Right? Because of unpredictability, you can't really know.
对吧?因为有不可预见性,你无法知道这些事。
This is incredibly important because if you picture having a double bond in a very large molecule, you could have all sorts of other atoms off this way and all sorts of other atoms off this way, and you can picture the shape would be very different if you have one confirmation versus another confirmation.
这是十分重要的,因为如果你想象在一个大分子里有一个双键,你可以在这里有各种各样的其它原子,在这里也有各种各样的其它原子,你可以想象一个构型,和另外一个构型之间的形状差别是非常大的。
But very soon will you find that if you're writing programs with lots and lots of functions, and some might call these, and these might call these, you can come up very soon with scenarios where you can not order them top to bottom, because everything is comingled, and there's a lot of cross talk among all of your functions.
但是不久后你们会发现你们写的程序中,有很多很多的函数,有的函数调用这些函数,这些函数又调用另外的函数,你不能用脚本,把它们从上到下排序,因为所有函数相互混合,在你的函数中也有很多交叉。
So you build it with a material like silver and gold, and then you encounter the problems of society that your bridge might get stolen because somebody thinks they have a better use for silver and gold than your bridge.
但如果你用金或银这样的材料,你又会面对新的问题,你的桥会被偷走,因为有人认为金和银有比造桥更好的用途
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