-
So it's a really powerful and simple formalism, once we set up what is needed the go through it, right?
因此这是一种很强大而简单的形式,一旦我们定下需要什么,就可以推导出它，对吧？
-
We saw that the Bohr model was able to correlate the observations of Angstrom, which had been formulated by Balmer.
知道了波尔模型,可以和阿姆斯特朗的观察相吻合，这观察后来被巴尔末推导出来相证实。
-
Cycles that are suggested that you go through and aren't gone through in class also sometimes turn up on exams too, by the way.
顺带一提，那些我建议,你们去推导，而没有在课上,推导的循环有时也会。
-
If you watch me do the thing on the blackboard, it looks very reasonable.
如果你只看我在黑板上的推导,觉得很有道理
-
It seems like a logical extension of that formula to three assets and you can easily see how to extend it to four or more assets, it's just the logical extension of that.
这样就将前个公式推导为三个资产的情况,显而易见,你们可以将其运用到四个乃至更多资产的情况下，这只是对原始公式一个推导罢了。
-
On the one hand, even if it were true that the soul must be non-physical in order to grasp the non-physical forms, wouldn't follow that the soul will survive the death of the body.
一方面,即使,灵魂必须是非现实的,以便来认知非现实的型相,也没法推导出,灵魂可以在肉体死亡之后存活
-
And, I will go through the actual line by line derivation not because I want to do derivations in class.
我们要仔细讨论实际的线,和推导出来的线,并不是我想在这节课做推导。
-
And I wanted to do it a different way which is a little bit convoluted, but it introduces the idea of a thermodynamic cycle, and it's something that we're going to use a lot in the class.
现在我将用另一种,有些复杂的办法来推导这一关系，在这一过程中引入,我们今后会常接触到的,热力学循环的概念。
-
Now what I am going to do, this is off of just that one central cation.
接下来，这只是对一个中心阳离子的推导。
-
As long as you're dealing with state functions it doesn't matter to get at the same results here.
不影响结果,我们的推导就基于这一点。
-
I've been teaching long enough to know that doing derivations in class is equivalent to pouring ice water on the proceedings, so I do this sparingly.
我已经教了这么长时间书,所以我知道在课堂上讲推导,就好像泼冰水一样，所以我在讲这个的时候很小心。
-
This is the kind of thing you should be able to deduce.
你们必须掌握推导这类问题的方法
-
Now let's get the energy for the line.
现在我们来推导线的能量。
-
If it's something else, you will have to deduce another law.
在其它情况下,你会推导出其它的定律
-
I will only do them on one condition, and that is I want to be able to teach you what the assumptions are that underlie the points in the derivation.
只在一个情况下我才会做，那就是要能够教会你们,假设是,构成了推导的基础。
-
And we can do that by going through and deriving What we'll call the fundamental equations of thermodynamics.
通过推导,所谓的,基本热力学方程可以做到这一点。
-
So I just want to use that again and again, starting from that, for various different sorts of conditions andderive the criterion for equilibrium in each set of conditions.
所以我将会一遍又一遍地使用这个公式，从这个公式出发，在各种条件了,推导出,任意条件下的平衡条件。
-
So let's just go through and do that.
我们现在开始详细的做这样一个推导。
-
But the other reason to go through the thermodynamic cycles and really to develop great facility with them is because there are just an awful lot of things in nature and things that we build that run in cycles, where we want to calculate the thermodynamics, right.
但是要推导热力学,循环并为之发展一套,完善方法的另外一个原因是,自然界中或人造的那些,我们想计算它们的热力学的东西,有很多是以循环的方式运作的。
-
In this case, V = /P. Have two quantities and the number of moles gives you another property. You don't need to know the volume. All you need to know is the pressure and temperature and the number of moles to get the volume.
以及气体的摩尔数,就可以得到第三个量,知道压强，温度和气体的,摩尔数就可以推导出气体的体积,这称为状态方程,它建立了状态函数之间的联系。
-
I could have done that.
这就比刚才的推导。
-
So now, this equation here relates three state functions together: the pressure the volume, and the temperature. Now, if you remember, we said that if you had a substance, if you knew the number of moles and two properties, you knew everything about the gas.
压强，体积和温度,大家应该还记得,我们提过，只要知道气体的摩尔数,和任意两个状态函数,就可以推导出其他的状态函数，这样，我们可以把它改写成。
-
This is so obvious in this problem, but when you see more complicated formula, you may not know all the assumptions that went into the derivation and quite often you will be using it when you shouldn't.
在这道题中这些都很明显,但是当我们用更复杂的公式时,你可能搞不清楚所有,在推导时的前提,因此很多时候,你都会用错公式
-
What Hicks said is that in these term structures, actually, I've just showed the one-period, he had one-period forward rate-- but you could do it over any combination and you can get forward rates of any maturity at any future date.
希克斯指出利率期限结构中,我刚才给你们演示了,希克斯是如何推导一年期远期利率的,但是你们通过其他组合重新推导,还算出未来任意时刻,期限的远期利率
-
So, just to go through a basic example, let's just look at the burning of methane.
那么我们来推导一些，基本的例子，让我们。
-
Any questions about going through these cycles and using expressions like this and so forth? Expressions like this you know turn up in various places, like in the equations sheet that appears at the end of exams, right?
关于推导这些循环和使用,这样的表达式之类的,有没有什么问题？,这样的表达式在各种地方都会出现,比如试卷后面的公式页？
-
A meter, for example, is not deduced from anything.
一米,打个比方,并不是推导得来的
-
That's the ideal gas law.
是怎么推导出来的。
-
And my purpose will be not to say something as a postulate, but to show you where everything comes from, and it's best for you if you try to follow the logic.
我的目的不是,简单地告诉你们一个假说,而是给你们讲清楚这个理论的来龙去脉,如果你们能理解推导过程那就再好不过
-
And the purpose of this course is to show you over and over and over again that starting with those one or two laws, you can deduce everything, and I would encourage you to think the same way.
这门课的目的,就是要反复告诉你们,从其中的一两条定律出发,你可以推导出一切,我鼓励你们用同样的方法来思考
应用推荐