Now, the coefficient that relates the amount of heat in to the temperature change is obviously going to be different for these two cases.
在这两个例子中,很显然联系热量和温度变化的系数,是不一样的。
Also, we need to know how much individual stocks are correlated with rm; we measure that by the regression coefficient.
我们必须清楚,有多少个股与市场总体收益率相关;,我们用回归系数,即β系数来表示。
If I pick an angle of 60 degrees, these are some numbers like half and root 3 over 2.
要是我选择一个 60°的角,上面的系数就会是二分之一和二分之根号三
And so instead of defining efficiency the way you've got it written there, I'm going to define what's called something different for a refrigerator which is called the coefficient of performance.
现在我们不用,效率的那个定义,我给出一个,有关制冷机的,新的定义,叫做制冷系数。
And we can simplify this expression as saying negative e squared over 4 pi, epsilon nought r squared. Epsilon nought is a constant, it's something you might see in physics as well.
也会遇到它,在这里,你可以就把它,理解为一个转换系数,我们需要做的。
I am going to sum up the atomic orbitals that go into the molecular orbital, and they are going to have some coefficients.
我准备将原子轨道组合起来,进行分子轨道计算,这个过程还需添加一些系数。
It turns out that this quantity here, which is called eta of J the Joule free expansion parameter, is not quite zero.
这个量后来被,称作焦耳膨胀系数,其实并不等于零。
And if that's equal to zero, that means that the Joule-Thomson coefficient for an ideal gas is also equal to zero. We're going to actually prove this later in the course.
说明理想气体的,焦耳-汤姆逊系数也等于0。,详细的证明过程,会在以后的课上给出。
And we saw that, you saw that the Joule coefficient for an ideal gas was zero.
我们会发现,你们也会发现,理想气体的焦耳系数是零。
And then the repulsive term, some positive coefficient r and r to a very high number.
然后排斥力,一些正系数,以及具有很大数值的。
Your numbers with the primes on them are related to mine by this relation.
你的带撇的系数,与我的系数的关系由这个式子确定
This is the proportionality that is multiplied by the quantum.
这就是与量子的,比例系数。
If there were perfect correlation, then it would be a correlation of one.
如果是完全正相关的,也就是相关系数等于一。
Right? In other words I've got the stoichiometric coefficients in there and the values, and I'm subtracting the reactants from products -1652kJ/mol wind up with minus 1652 kilojoules per mole.
对吧?换句话说这里我用了化学,计量系数和生成热的值,从生成物中减去反应物,最后得到。
I feel like I have to introduce concepts like variance and co-variance and correlation in order to talk about finance; so that's what we'll do in Lecture Two.
我会讲到像方差,协方差,相关系数,这样的概念,为金融学的内容作一些铺垫,我们会在第二课讲到
So this is just going to be T2 over T1 minus T2, that's our coefficient of performance.
这就是我们的,制冷系数。
And you can find these compressibility factors in tables. If you want to know the compressibility factors for water, for steam, at a certain pressure and temperature, you go to a table and you find it.
各种气体的压缩系数,想知道水或者水蒸气,在某个温度和压强下的,压缩系数,查表就行了,这是实际气体状态方程的。
That's what these numbers are going to tell us and we can verify that as follows.
这些系数能告诉我们这些信息,下面我们开始验证这一点
How do I get your numbers in terms of my numbers?
我怎样用我的系数来表示你的系数呢
Z Compressibility factor, z.
压缩系数。
If she's got a pair of numbers and you got a pair of numbers, the new numbers are called the primed numbers and you want to write them in terms of yours.
如果她有一组系数 你也有一组系数,新的系数被称作带撇的系数,你想用自己的形式来表示它们
But you could estimate the corr-- it's probably positive.
你可以估计一下,相关系数很可能是个正值
So this is a measure--it's a scaled covariance.
这个指标是相关系数
but right now you're going to have to take it for granted. So, if the Joule-Thomson coefficient is equal to zero, just like we wrote, du = Cv dT du = Cv dT for an ideal gas, we're going to dH = Cp dT have dH = Cp dT for an ideal gas as well.
但是现在请你们应该把它看成理所当然的,所以,如果焦耳-汤姆逊系数等于零,就像我们写的,对于理想气体,我们也可以得到对于理想气体。
.. The problem is again the ideal-- they're trying to work toward what I think of an ideal that we see in finance-- 1 mainly, the perfect correlation of consumption and the elimination of risk--we all help each other.
问题又回到了理想-,他们为之奋斗的这种理想状态,如果用金融学的理念来解读-,就是消费与风险消除的相关系数为,即完全正相关,所有人都互助互利。
The reason it's low is that we do have,what I think is, superior diversification and that really lowers the University's risk.
我认为耶鲁beta系数低的原因是,我们有卓越的多元化投资,这确实降低了耶鲁资产的风险
Therefore, it'll compress by an unknown x, which is equal to mg divided by the force constant of the spring.
因此它的压缩量为 x,也就等于 mg 除以弹簧的弹性系数
And so they defined them, p after many experiments, the limit of this 0 delta T delta p and the limit of delta p goes to zero as the Joule-Thomson coefficient.
他们定义了这些量,以及它们的范围,ΔT比Δ,Δp的极限趋近于,叫做焦耳-汤姆逊系数。
Over here, we have dq=Cp dT, the heat, the proportionality between heat - and temperature rise is given by this, the constant pressure heat capacity.
这里我有dq=CpdT,这是热量,这是联系热量,和温度变化的系数,恒压热容。
If you want to know what the number c is, you say, let's put time t=0.
比如,如果你想知道系数c代表的是什么,我们令时间t=0
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