Our friend Schr?dinger told us that if you solve for the wave function, this is what the probability densities look like.
我们的朋友薛定谔告诉我们,如果你用波函数来解决,你就会知道这些概率密度看上去的样子。
they come to law firms and we get to help them solve the problem.
他们会到事务所来寻求帮助,我们则帮他们解决问题。
We just go through the list top to bottom, left to right, and cross names off as we go.
我们会从上到下,从左到右看那个问题清单,如果解决了就把名字擦掉。
So, we would solve— We study people much as we'd study a computer from an alien planet or something.
所以我们会解决,我们就像是在研究,一部来于自外星球的电脑,或是别的东西一样,在研究人类
On Tuesday we'll talk about a different way to implement Fibonacci, where the growth will be much less dramatic. Thank you.
周二我们将会讲一种,不同的Fibonacci数列解决方案,这个方案的增长会小得多,谢谢。
That's one challenge and we'll talk about ways to think about engineering approaches to solve that problem.
该问题一直很具挑战性,我们会讲到,如何用生物医学工程的方法来解决它
The wording is slightly different in all the indentures, but in general, we've settled eight or nine cases; companies sort of agreed and we negotiated a settlement.
在所有的行业里,用语只会有细微的差别,但是总的来说,我们已经解决了八个或九个案子;,公司们似乎也同意我们的观点然后跟我们达成了协议。
Well, we know one solution to this is the following.
我们知道一种解决办法,下面会提到。
And so these are situations where we would very much like to produce a vaccine, but we can't yet, and the question is 'Why? '.
我们十分想生产疫苗来解决这些问题,但我们还不行,你们会问,为什么会这样
I'm given an integer that's a perfect square, and I want to write a little piece of code that's going to find the square root of it. All right so I'm cheating a little, I know it's a perfect square, somebody's given it to me, we'll come back in a second to generalizing it, so what would the steps be that I'd use to walk through it?
完美平方数的整数,我想写一段代码来求这个数的平方根,好,我这儿有点儿作弊了,我知道这是一个完美的平方数了,他们给我的,我们后面会讲怎么产生这个数的,那么我想解决这个问题,需要什么步骤呢?
The strategy then often is to figure out how, what sort of program can solve these problems and then we go on to ask, "How could this program be instantiated in the physical brain?"
心理学家们通常要先弄清,什么样的程序可以解决这些问题,然后我们会接着问到,"这个程序在我们的生理大脑中,是如何进行编译的"
We do expect the majority of the students to tackle, as you'll see tonight when the PDFs go online at 7 PM, the so called standard edition of each problem set.
我们希望你们大部分能解决这些问题,你将会看到我们下午7点钟,会把PDF放到网上去,也就是每套问题的标准版本。
That's the question we're going to try and address. If we can do this, this is good, because first of all, it removes any questions about what machine I'm running on, it's talking about fundamentally, how hard is this problem, and the second thing is, it is going to do it specifically in terms of the input. Which is one of the things that I was worried about.
这是一个我们接下来要去,尝试和解决的问题,如果我们能做到的话会很不错,因为首先,它解决了结果可能和我,运行的计算机有关系的问题,因为这从根本了告诉了,我们这个问题的复杂度,第二件事情,就是这种方法可以依据输入的大小来计算,而这正是我最担心的地方。
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