It's one thing to plug in all the numbers and say, "I know Newton's laws and I know how they work."
我们平时只是把数字代进公式,然后说,"我懂牛顿定律,也知道怎么使用"
I don't know if that's true of you, but it certainly is true of people of my generation.
我不知道你们是不是也这样,但对于我们这代人来说确实如此
This sperm has gained quite a vocabulary, and it includes this line: "I have seen the best swimmers of my generation go under.
这个精子词汇量很大啊,它总结如下:,我曾见过这代人中最好的泳者沉底。
Now,when I think about this,and again, I'm inviting you to think about this in the first person, so this is happening to you.
当我想到这个问题,我再次请各位把自己代入进去,把这当作发生在你身上的事情。
That's what I'm going to emphasize, more than just plugging in the numbers.
所以我一直强调,它不仅仅是代数字这么简单
And I'm going to rewrite it now with that P expanded out.
我把它代入到这个表达式然后展开
You can see the different points-- I've calculated this using data from 1983 until 2006-- and I computed all of the inputs to those equations that we just saw.
你可以观察不同的点-,我用从1983年到2006年的数据-,代入我们刚教授的等式,进行了计算。
And there is a relationship here, and that is that the number of photons absorbed by the metal are related to the number of electrons ejected from the metal. So, in this figure here what I'm actually showing is these little sunshines, which let's say are each one individual photon.
这里有一个关系是,被金属吸收的光子,和被金属逐出的电子是相关的,所以,我展示的这个图,是这些小太阳,我们这里代指每一个独立的光子。
So I'm going to be asking you to put yourself in the first person.
所以我现在请大家把自己代入进去。
If you solve for that, you find y-y0=v0^/, and if you put in the v_0 I gave you, which was what, 10?
如果你解这个式子,你会得到y-y0=v0^/,如果再把我给你的v0代入,那个数是多少 10
I take the time and put it in the y equation and demand that the y I get, agrees with this y.
然后我把时间代入 y 的方程,令得到的 y 的表达式等于这一段的 y
I'm just saying, "Take this and put it there and combine i and j."
我只会说,"把这个代入那里,合并 i 和 j"
What we do is we take the interest rate, which I'll call r, and plug it into a formula, which I didn't actually do the arithmetic to their number.
我们只需将利率r,代入等式中,虽然我没有代入数字验证过...
All I'm doing here, nothing particularly exciting, I'm simply plugging this expression in for P and then I multiplied the whole thing out because it was all multiplied by q.
这些计算过程确实很枯燥,我只是把这个算式代入到P中,然后打开整理,因为每一项都乘以了q
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