Now the word "first" begins to take on a much bigger range of significances than we might at first think.
现在看来,“初/先“一词,比我们起先所想的有更加重大的意义。
So, so for me, it's much more interesting to kind of take a business student,
我后来成为商业学科的学生,觉得很有意思。
And so, in the real world frankly, these kinds of questions, how much time is this gonna take is certainly germane.
但在现实世界中,不同种类的问题,所花费的时间是不同的。
So, for example, in a hydrogen atom, if you take the binding energy, the negative of that is going to be how much energy you have to put in to ionize the hydrogen atom.
例如在氢原子里面,如果你取一个结合能,它的负数就是。
And it's for that whole unit that you've got some heat capacity. How much heat does it take the warm the entire thing up or the insides of the thing up by a degree? It's that number right.
由这个单位你能知道,一些热容的信息,要让这整个装置,或里面放置的东西,升温一度需要多少热量?
When we talk about space, what we usually refer to is, how much computer memory does it take to complete a computation of a particular size?
我们经常指的是,当我们计算,一个特定大小的问题的时候,要占用计算机的多少内存?
Externality When I'm figuring out how much effort to contribute to this firm I don't take into account that other half of profits that goes to you.
外部性,当我计算要为公司付出多少时,我没考虑到利润的一半会归你所有
The second half of the book turns in somewhat different, certainly equally important directions, but would take us much more time than the time we have allotted to deal with.
巨著的后半篇幅,转向不同,但绝对同等重要的方向,可所需花费的时间,将远超过我们课堂所订的时间。
An animal who has evolved a brain that says, "Take care of your offspring" will do much better from a natural selection point of view from an animal who has evolved a brain that says, "Eat your offspring."
逐步形成大脑的动物说,照顾你的后代“,好过从自然选择观点,看问题的动物说,吃掉你的后代“
The kind of battle I've been describing to you, a nice flat field, two armies coming at each other, there's not much you can do in the way of trickery, and so you can take a high tone and say, anybody who fights any other way is a no good coward.
我向你们描述的这种战争,土地平坦开阔,两军对垒,没有多大机会使用奸计,所以你能大声地说,谁在战争中使奸就是胆小的懦夫
So the readings, very much connected and take you to the next level of understanding and assimilation.
那么阅读,非常有关系,会把你们带到理解和吸收的另一个水平高度。
because as much as we take advantage of it, it's an energy that's here,
这里有这样的一种能量,因为只要我们好好利用,
Now, I hope you guys know that much calculus, that when you take a derivative of a function of a function, namely v square over 2 is a function of v, and v itself is a function of t, then the rule for taking the derivative is first take the v derivative of this object, then take the d by dt of t, which is this one.
我希望你们了解更多的微积分知识,当你对复合函数求导时,也就是说v^/2是关于v的函数,而v本身是关于t的函数,求导的法则应该是,第一步是这一部分对v求导,然后v再对t求导,得到这一部分
You've got to pretty much take that chalk, and make a slurry out of it, put water, and dry it back up, put in a mold, and then you can have the chalk again, but you can't just glue it back together.
你得尽可能地收集它的碎片,把它做成粉浆,加水然后风干,放进模具,然后你就能重新得到这支粉笔,但是你不能简单地把它粘起来。
I mean unlike a lot of the courses here and at universities, we really do take a much more individualistic approach and that is to say at the end of the day do we consider both upward trending, both your initial experience and also how you approach the course's projects throughout the course of the semester.
我不希望像其他很多课程或在大学中,我们将会采取更个性的方法,也就是说在当天结束前,我们会同时考虑课程进度,考虑你开始的情况,以及如何进行整个学期的学习,也包括如何通过这门课,来帮助你们完成本学期的课程。
All right? If you run it, you have a sense of the upper bound, about how much time it's going to take to do this computation, so you're not going to get surprised by something showing up.
第一,这样做意味着没有意外了对不对?,你去运行程序,你已经大致知道运行时间的上限了,因此发生任何事情,你都不会吃惊了。
Because so much of what we do in chemistry does take place with constant temperature and pressure.
因为化学中我们所做的很多东西,都是在恒定的温度和压强下进行的。
G We can take the derivative of G with respect to how much material there is.
我们可以取,对物质总量的偏导数。
This time, however, instead of setting quantities, instead of just deciding how much Coke and Pepsi to produce and spewing it out in the market and letting prices take care of themselves, this time the firms are going to set prices and let quantities take care of themselves.
这次不是规定产量,上次是确定,可口可乐和百事可乐的产量,运到市场上销售,并让价格自主的浮动,而这次,公司将要预先设定价格,并让产量自动调节
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