But I could write that same policy and write a simulator around it and write populations around it and I could see that effect instantly with a computer.
但我可以写出同样的政策,并且为之编写出一个模拟环境,和一些模拟人群,我就可以立即在电脑上看到结果。
The crisis that we're in now--and this is very important, you're living through it and we'll see how it pans out.
我们身处这个危机之中,而且重要的是,你会经历整个过程并且看到它的结果如何
So that's promising. We did, in fact, see red in our spectrum, and it turns out that that's exactly the wavelength that we see is that we're at 657 nanometers.
这是可能的,事实上,我们在光谱里看到过红色,结果它就是我们看到的在657纳米处的波长。
And again there, too, you saw an experimental result you were presented with that says, well at least to the extent that it could be measured, it was obviously getting very small.
再一次,你看到了一个,你经知道的实结果,至少在实验测量的范围内,对理想气体条件下的气体这一项很小。
And it's just gathering together the multiplications while counting down the exponent. And you can see it when we get down to the end test here, we're going to pop out of there and we're going to return the answer.
这个方法就是通过乘法,来一个一个的减小指数,可以看到,最后面的结果测试,我们会在这里退出,然后返回答案。
And there's probably more digits after the decimal place, but because of my formatting string, I only see a couple of them.
这里可能有更多的小数位,但因为我对结果设定了格式,我们只看到两位。
Because very often,if we only study the average, we only see the average,we only see the geometric shapes and completely missed the children on the bus.
因为很多时候,如果我们只研究平均水平,那就只会看到平均的结果,只看到几何形状,完全忽略了汽车上的孩子。
As a consequence, he and other researchers then started looking into the lifestyles of people in these various countries to see what might help explain these differences in heart disease.
看到这样的结果,凯斯和其他研究员,开始研究七个国家人们的生活方式,看看是什么原因造成了,心脏病发病率之间的差异
It turned out there was no white van at all but in the first incident somebody saw a white van, this was reported in all the newspapers, then every other incident people started seeing the white van.
其实后来发现并没有白色小货车,但在第一起案件里有人看到白色小货车,所有报纸上都登了这条线索,结果在后来的案件中人们都看到白色小货车。
epsilon I gave it here a different epsilon, and you'll note, we get different answers.
我换个不同的,你可以看到我们得到的结果还是不同的。
This is not the kind of percentages we're looking for, so let's go over this.
这不是我们想看到的结果,让我们来看一看。
I'm going to tort-- I'm going to make the font smaller so we can see more.
我们还没看到比较结果,好,你知道我要做什么了么?
So you can see that we're starting to have a very complicated equation, and it turns out that it's mathematically impossible to even solve the exact Schrodinger equation as we move up to higher numbers of electrons.
所有你们可以看到我们得到了,一个非常复杂的方程,结果是它在数学上是,不可能解出确定的,薛定谔方程,当我们考虑更高的电子数目的时候。
So then, just like we saw, analogous to what saw just before, dS/dp it's T dS/dp at constant T.
就像我们看到的,就像我们刚才看到的一样,结果是T乘以恒定温度下的。
But it turns out that as we'll see that functions absolutely take arguments, right?
但结果是我们将看到,函数绝对是有参数的,对不对?
And we also, when we solved or we looked at the solution to that Schrodinger equation, what we saw was that we actually needed three different quantum numbers to fully describe the wave function of a hydrogen atom or to fully describe an orbital.
此外,当我们解波函数,或者考虑薛定谔方程的结果时,我们看到的确3个不同的量子数,完全刻画了氢原子,的波函数或者说轨道。
For gases that approach ideal gas conditions.
现在你能看到这样的结果。
But now, you see there are a lot of possibilities and the outcome of your portfolio choice can be anything along this line.
但是现在你可以看到很多可能的投资组合,你决定的投资组合的结果,可以是这条线上任意一点。
But actually, when you saw that before, you weren't given any proof of that.
但是实际上,在你之前看到这个结果的时候,没有人给你任何证明。
And we've seen that on a number of occasions.
我们以前已经看到过很多次这样的结果了。
whether it was the mental health workers, whether it was the philosophers,psychologists, praise the program as the best,as highly effective, when they looked at the raw objective data, the results were shocking.
无论是心理健康学者,哲学家,心理学家,都说这是最佳,最高效的研究方案,但当他们看到原始的样本数据,调研结果让他们震惊。
In other words, the order of taking the derivatives with respect to pressure and temperature doesn't matter And what this will show is that dS/dp dS/dp at constant temperature, here we saw how entropy varies with volume, this is going to show us how it varies with pressure.
换句话说,对温度和压强的求导顺序无关紧要,结果会表明,恒定温度下的,对应我们上面看到的,熵如何随着体积变化,这个式子告诉我们,熵如何随着压强变化。
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