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我把这个式子圈起来So let me draw a box.

这个式子告诉了我们什么?So what does that tell me?

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这样一来,我就得到了这个式子By doing it, I got this formula.

我们该怎样计算这个式子呢?So, how do we compute this thing?

假如我给你一个关于f的式子。Say that I give you a formula for f.

现在我们应该把这个式子展开。And, well, now we should expand this.

圈起来意味着这个式子很重要Drawing a box to you guys means important.

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然后把上面三个式子加到一起。And then, we the three such terms together.

现在这个式子的结构就很简单了。See, the structure of this formula is simple.

如果A和B不独立,这个式子就不成立That wouldn't hold if they're not independent.

所有弹簧都满足这个式子Then, all springs will do something like this.

如果你定义x等于1这就得到了我们的式子。If you plug in x equals one that is our series.

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让我们重新回到我之前写的那个式子Let's go back to the same thing I wrote earlier.

利用这个式子,我们就可以消去。R So let's get rid of R in this expression here.

什么时候用这个式子?,它描述的是什么?When would you use this and what does it describe?

现在可以从这个式子推导出第二个式子Now there's a second formula one derives from this.

所以,我们试着从这些式子推导。So, let's try to figure it out from these formulas.

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可以通过这个式子求导得到v is obtained by taking derivative of this expression.

所以,你们得到的两个式子,也许是一致的。So, the two formulas that you might get are consistent.

函数的式子为。y^2-x^2 OK, the equation for, the function was y^2-x^2.