Well a number of you have spent this past week playing with this particular tool which is a project the course has been working on for some time in an effort to make it easier and more social to actually shop for courses.
在过去的一周里,已经有一部分人开始使用这种特殊的工具了,这门课程一直在致力于这一工具的开发,目的是为了让课程变的更简单,选课更人性化。
That's good for my case, so a number of you think those are different products.
那对我的例子有帮助,你们中的很多人认为它们是不同的产品
Okay, a number of you. Young lady out there, did you use musical notation?
好的,相当一部分都有过,这位年轻的女士,你用乐谱吗
A number of you have probably read some of Douglas Adams' books.
你们可能有人读过道格拉斯?亚当斯的书
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。
This is when you learn the laws in terms of which you can understand and explain a large number of phenomena.
从此刻开始,你们学习的理论,能帮助你理解和解释生活中的很多现象
When you look at a food label like this, first it shows you the number of servings on containers.
这是一个食品标签的样例,首先可以了解到整个包装内所含食物份数
That way you could deliver a small number of vectors and they could amplify into a large number of vectors.
这样你只需向细胞中转入少量载体,就能得到大量的拷贝
If I have Avogadro number of these things in a long line, you can bet it is going to be a solid.
如果在一条直线上,这些东西有阿伏伽德罗常数那么多,你肯定会说它是固体。
That is, if you are one of these commune communities, then you're just a small number of people.
即使是公社,集结成的也只是个小众团体。
The number one feature of a physical book is that it disappears while you are reading it.
一本实体书的最重要的特点是,当你阅读时,它会消失在你眼前。
Or if you want to think of it as a real number.
如果你想去考虑实数的问题。
There is a wall around Paris and there are exterior forts, but you've got an enormous number of people besieged by Prussian and other German forces, holding on.
在巴黎外围高墙林立,堡垒遍地,但仍有大批民众,在普鲁士和其他德国军队的围攻中坚守阵地
If you look at the syllabus, you'll notice that we read a number of great and famous books, books by Aristotle, John Locke, Immanuel Kant, John Stewart Mill, and others.
如果你有留意教学大纲,就能发现,教学大纲里列出了不少人的著作,包括亚里士多德,约翰·洛克,伊曼努尔·康德,约翰·斯图尔特·穆勒及其他哲学家的著作。
So a number of you, even if the price was just a tiny bit different might have a preference for one rather than the other, so without getting in trouble by putting the camera on you, how many of you would have a preference, if the prices were essentially the same how many of you would have a strict preference for Pepsi?
那么你们中的很多人,尽管价格只有一点点不同,也许还是倾向于其中一个产品,不让你们上镜头而招来麻烦,你们谁会有倾向,如果价格差不多,谁会倾向选择百事可乐
So part of it is, you yourselves have figured out, some of you, that you shouldn't choose a high number.
这对了一半,你们都明白了,不应该选择一个较大的数
If you give a sign, on top of the number, that takes care of all ambiguity in one dimension.
如果你在数字前加一个符号,就把一维运动的所有的歧义解决了
How many we'll get the camera on you how many of you chose a number higher than 67?
有多少人,摄像机会转过来对准你们,多少人选了大于67的数
You rotate the letters by a deterministic amount, by a fixed number of steps so that the end result is actually something that can be reversed.
你用确定的数量旋转那些字母,通过一个固定数量的步骤,这样,最终结果是可以把它,反加密出来。
So finite number of times can you specify with a condition, as we'll see in a moment.
所以你们可以指定一个条件来表示有穷的次数,我们等下将看到。
You know you're a nerd if--so 16 of those ones will give you that particular number.
你们反应真慢,就是十六个1嘛,得出来就是这个数了。
All you guys, there's a huge number of hands who said they had seen it before.
所有人,之前有很多人都说见过这个
This is about the stock market, but I asked a number of this I've been doing since 1996 do you agree with the following statement?
这往往是指投资股票市场,但是1996年之后,我问过一些人,你认同以下这种说法吗
Okay, a good number of you. Now we're seeing some hands up.
很好,这次举手的人多了
Now, the critical thing to understand about a corporation is that in order to value a share in a corporation you absolutely have to know the number of shares outstanding.
理解这类公司的关键在于,要衡量一家公司股票的价值,你必须清楚总共发行的股票数量
If you had one negative number in it, then the product would be a negative number and, if you took a root of that, then you might get an imaginary number.
如果这当中有一个负数,乘积就会变成负的,如果你对一个负数开根号,你就会得到一个虚数
How many of you chose a number higher than 10?
多少人选了大于10的
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