Well, this view, this evolutionary view, or evolutionary model, was challenged by man a named Yehezkel Kaufmann in the 1930's.
这个改进了的观点,或者说改进了的模型,在20世纪30年代受到了来自考夫曼的质疑。
When we did the spring, we had this theory of Hooke's Law that told us something, and we built a simulation, or built some tools around that theory.
当我们写弹簧程序的时候,我们有胡克定律来告诉我们原理,然后我们建立了一个仿真模型,或者说是在这个理论基础上建立了一些工具。
However, as you know, we didn't stop at the plum pudding model, which is good, because it's a little goofy, so it's nice to move on from that and move on we did.
我们并没有,停留在李子布丁模型上,虽然它很好,但这个模型有点傻。
But actually, we could consider this model more generally, and let's just do so briefly here.
而实际上,我们可以把这个模型想得更普遍些,我简单在这讲一下
How would I model this system?
在这个系统中如何构造模型呢?
That may make sense for some organizations, Certainly the open university in UK was founded on That as their basic model. But given MIT's course Strength and core abilities, we decided that what'll Make sense is to focus on two major things.
那对于一些机构是有意义的,比如英国的开放大学就,建立在这个基础模型上,而鉴于麻理优势和核心能力,我们决定要注重两件事。
Now remember that there were only four different colors in the cartoon of the DNA double helix that we talked about and I told you that those colors are really - represent the bases but there's five of them here.
现在要记住只有四种不同的颜色,在双螺旋DNA的卡通模型上出现,我们刚说过这个,我告诉你们的这些颜色,它们代表不同的碱基,不过有五种碱基
Conversely, if you get an answer and it doesn't seem to make sense, then you've got to go back and ask, am I violating some of the assumptions, and here you will find the assumption that the particle had that acceleration a is true as long it's freely falling under gravity but not when you hit the ground.
反过来说,如果你得到一个结果,发现似乎是错的,那么你就应该回过头来问问自己,我是不是违反某些前提了,这个模型中,你就发现,只要质点在重力作用下自由下落,质点具有加速度a的前提是正确的,但是落地后就不成立了
What's missing in this model of this piece of soccer, this game within a game?
在这个足球的模型中我们忽略了什么,这是一个博弈的模型对吧
Now, what I want to do now, what I want to is, periodically in the class and we have a model up there and we've got to analyze it.
接下来,我想要做的事,定期地在课堂上,建立模型然后分析这个模型
We'll come back and discuss it more in a second, but before I do, let me mention that the same model, exactly the same idea, has an application in Economics.
我们一会再深入导论这个问题,在此之前,我再来列举一个模型,是经济学里面一个完全类似的模型
So, I said I'd tell you a little bit more about where this Bohr radius came from, and it came from a model of the atom that pre-dated quantum mechanics, and Neils Bohr is who came up with the idea of the Bohr radius, and here is hanging out with Einstein, he had pretty good company that he kept.
我要告诉你们,波尔半径是从哪里来的,它起源于前量子力学时代的,原子模型,尼尔斯,玻尔提出了,波尔半径的概念,这是他和爱因斯坦在一起,他们是好朋友,当我们讨论这个原子模型时你们要记住的是,在1911年。
So we're to assume we can get to any piece of data, any instruction in constant time, and the second assumption we're going to make is that the basic primitive steps take constant time, same amount of time to compute. Again, not completely true, but it's a good model, so arithmetic operations, comparisons, things of that sort, we're all going to assume are basically in that in that particular model.
因此如果我们假设在恒定的时间内,我们可以取得任何一块数据,任何一种数据结构的话,我们要做的第二个假设就是,基本的原始操作计算花费的时间是恒定的,这个假设也不是完全正确的,但这个模型其实挺不错的,因此算法操作,比较,这一类的事情,我们在这个特定的模型中都假设是基本的,操作,花费的时间是恒定相同的。
So leaving aside the specific example of beer, you think about some product that has some dimension on which it varies, and we can use this model to see how competition is going to work in that market.
把啤酒的例子放在一边,你们自己想一些在某种程度上,有所不同的产品,我们使用这个模型来研究,这个市场的竞争是怎样的
You could put everything on this line, I think there may be, I'm not really allowed to do this on this model, the one thing I can't do is, part of the truth is that Bud Light might be down here somewhere but I'm not allowed to do that.
你可以把任何东西放在这条线上,我想那也许是,我实际上并没有权利在这个模型中这么做,我不能做的是,起码百威淡啤酒应该在这上的某个位置,但我没权利这么做
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