And the person we have to thank for actually giving us this more concrete way to think about what a wave function squared is is Max Born here.

需要感谢，马克思，波恩,给了我们，这个波函数平方的,具体解释，事实上。

麻省理工公开课 - 化学原理课程节选

You might think that its function is to make you more - a better cyclist but that's not its only function.

你也许只知道它的作用是--,使你成为一个更好的自行车手,但这并不是它的唯一功能

耶鲁公开课 - 生物医学工程探索课程节选

We're seeing that the wave function's adding together and giving us more wave function in the center here.

我们看到波函数加在一起,使中间的波函数更多了。

麻省理工公开课 - 化学原理课程节选

Poetry, you remember--this is a scientist-- is no more true than religion, but it can perform the function of religion and is therefore capable of saving us.

科学家曾说过-,诗歌并不比宗教更真实，但是诗歌具有宗教的作用,并因此可以拯救人类。

耶鲁公开课 - 文学理论导论课程节选

I'm not wasting time typing out arguments and implementing more complicated function.

我不会在浪费时间在打印输出参数上,我执行了更复杂的程序。

哈佛公开课 - 计算机科学课程节选

The answer is I can't. OK, in the simple case of integers I can, but in the case of something more complex like faces or fingerprints or passwords for that matter, it's hard to design a hash function that has completely even distribution, meaning that it takes any input into exactly one output spot.

答案是我不能，好吧,在简单的整数的例子中,我可以做到，但是在一些更复杂的场景中,比如面部，指纹，密码相关的问题中，很难设计一个哈希函数具备完全平均的分配,也就是说，做到对任一输入，可以准确地得到相应的唯一输出,因此在一个哈希问题中。

麻省理工公开课 - 计算机科学及编程导论课程节选

As our understanding is improved and we've been able to build more complicated approaches to replacing function.

随着我们的认识不断加深,越来越多复杂精妙的,身体机能替代物随之产生

耶鲁公开课 - 生物医学工程探索课程节选

So this is another kind of engineering, an engineering not to look more closely at how humans work but an engineering to improve their function when it's failing.

这便是另一种工程技术,它并不研究人体运作原理,而是强化某部位的功能,如果这个部位失效了的话

耶鲁公开课 - 生物医学工程探索课程节选

What we're talking about is literariness--that is to say, certain devices that we can identify that perform a certain function -and maybe out of the identification of these devices, to evolve a theory that's more widespread.

我们谈的是文学性，是一种我们能够认知并运用来达到一定目的的策略,我们需要进一步发展这个策略，使这个理论进化并传播。

耶鲁公开课 - 文学理论导论课程节选

It's harder to find, they're more limited numbers, and in general, more difficult until eventually down this pathway you have fully differentiated cells, cells that are fully mature and performing the function of the mature organ.

不过找起来更困难,因为它们数量稀少而且通常很难定位,在分化的终末阶段,你可以看到完全分化的细胞,这些细胞完全成熟,在成熟的器官中发挥功能

耶鲁公开课 - 生物医学工程探索课程节选

So, it turns out that n is not the only quantum number needed to describe a wave function, however. There's two more you can see come out of it.

事实上，n不是描述一个波函数需要的,唯一的量子数，你们可以看到，还需要，两个量子数。

麻省理工公开课 - 化学原理课程节选

More interesting is to look at the 2 s wave function.

看2s轨道波函数,更加有趣。

麻省理工公开课 - 化学原理课程节选

sb So in this case we would have 1 s a and 1 s b, and instead we would subtract one from the other, and what we would see is that instead of having additional, more wave function in the middle here, we've actually cancelled out the wave function and we end up with a node.

在这种情况下我们有1sa和，两者相减，我们可以看到不是在，中间有了额外更多的波函数，而是我们消掉了,波函数得到一个节点。

麻省理工公开课 - 化学原理课程节选