OK, clearly we'd be much better off if we had some systematic quantitative way to tell whether something would happen spontaneously.
好,如果我们有一些系统定量的方法来判断,一个过程是否会自发进行,那就会更好了。
The first way is just to turn the crank on the math, and the second way is to do a little bit more imaginative about the process.
第一个方法就是纯数学推导,第二个方法我们将对,这个过程做一些物理图像的想象。
The body of that function looks exactly like the computation up above, except I'm simply using those in place of the specific message I had before.
方法体内部看起来,很像上面的计算过程,除了我用这些来替代了,原来的那些特殊信息。
Now, one of the great hopes of modern biology is that we can figure out how to reverse that process in cells.
如今,现代生物学的一个最大希望,就是希望能够,发现逆转分化过程的方法
But we also use active visualizations we have a couple of ways to do active 3D visualizations.
但我们也使用主动性直观化,我们有很多方法,来实现3D直观化过程。
Of course there are lots of ways we can execute the cycle, but this is a simple one, and these are steps that we're all familiar with at this point.
当然循环过程,可以有很多种方法,这是一个简单的例子,这是循环过程,循环中的每一步我们都很熟悉。
And inside of the machine, and things we'll talk about, there is a process that will allow that sequence to be executed as described in that recipe, so it can behave like any thing that I can describe in one of those recipes.
在机器里面,还有我们要说的,里面有一个我们允许的,在方法中描述的,将要被执行的序列的过程,因此它可以像我在方法之中,描述的任意一种那样来表现。
We want to have ways of capturing this process.
我们希望能有方法可以捕捉到其中的过程。
As I said, what we want to do is, we want to count the number of basic steps it takes to compute a computation as a function of input size.
我刚才提到了,我们要建立,一个根据输入大小的方法来计算,一个计算过程需要的时间,建立这个方法需要几步呢?
Let me write a function, in fact the literal thing I would do is to say, identify the things that change, give each of them a variable name because I want to refer to them, and then write a function that captures the rest of that computation just with those variable names inside.
让我来写个方法,实际上我的意思是,辨别出变化的东西,然后给它们逐个命名以区分,然后写一个用来计算,这些变量的,包括计算过程的方法。
One, developing ways to understand how humans work better, how human physiology operates, and second, developing new approaches for replacing function in people when they're sick.
一,开发新方法更好的了解身体的运作,以及生理过程是怎样发生的,二,当人机体发生病变时,找到方法替代病变器官的功能
I wanted to show you that, so, first thing I'm going to do is say, all right, I know I'm going to need square root in here, so I'm going to, in fact, import math.
我们可以开始完成这个方法了,我想让你们看到完成这个方法的过程,第一件事情就是,我们在这儿需要一个求平方根的方法,实际上我将引入math包。
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