Sometime later, I will deal with functions of more than one variable, which I will briefly introduce to you, because that may not be a prerequisite but certainly something you will learn and you may use on and off.

再过段时间,我要开始处理多变量函数,到时候我会向你们进行简单介绍,因为那不是必须的,但是你们以后会学到,有时候还能派上用场

耶鲁公开课 - 基础物理课程节选

We started talking about these on Wednesday, and what we're going to start with is considering specifically the wave functions for multi-electron atoms.

我们从周三开始讨论这些，而且我们将要以特别地考虑,多电子原子的波函数,为开始。

麻省理工公开课 - 化学原理课程节选

This is boring. In fact, you can do some nice things to prove what is the class of functions you can compute with straight-line programs, and what you'd see if you did that is, it's not particularly interesting.

这很无聊，实际上，你可以通过做一些很有趣的事情,来证明你可以通过直线程序,来做很多功能，但是你也看到我们之前讲过的了，这不太有趣。

麻省理工公开课 - 计算机科学及编程导论课程节选

As long as you're dealing with state functions it doesn't matter to get at the same results here.

不影响结果,我们的推导就基于这一点。

麻省理工公开课 - 热力学与动力学课程节选

It has to do with the god Hermes who conveyed language to man, who was in a certain sense, among many other functions, the god of communication, and hermeneutics is, after all, obviously about communication.

它与赫耳墨斯，即教给人类语言的神祇有关，从某种意义上来说，赫耳墨斯是沟通之神，所以诠释学显然和沟通交流有关。

耶鲁公开课 - 文学理论导论课程节选

Absolutely, by functions, but you can also create local scope with curly braces.

绝对的，是由函数定义的，但是你也可以用花括号来创建局部范围。

哈佛公开课 - 计算机科学课程节选

I can have functions with no parameters, that's fine, I will still need the open and close paren there to identify that I have no parameters.

我每次都需要进行输入码？,函数可以没有参数,我依然需要前后括号,来定义我没与参数。

麻省理工公开课 - 计算机科学及编程导论课程节选

So instead, these would be canceling out wave functions between the two, so we would end up with a nodal plane down the center.

相反，两者之间的,波函数会相互抵消，所以我们在中间会得到一个节面。

麻省理工公开课 - 化学原理课程节选

And if you think about it, associated with each - one of those data types is a set of functions it's intended to apply to.

你会发现每个类型都有，与之对应的一个集合的操作,有的时候这些操作,有的时候某个操作可以,应用于多种数据类型。

麻省理工公开课 - 计算机科学及编程导论课程节选

So on Friday, we'll start with talking about the wave functions for the multi-electron atoms.

在周五，我们要开始讨论,多电子原子的波函数。

麻省理工公开课 - 化学原理课程节选

And we've only just begun using it, but it has just a bunch GetInt GetString GetDouble of very useful functions like GetInt, GetString, GetDouble, And so as those names imply, you can just cull these functions with no arguments and you'll get back that data type based on its name.

我们刚开始使用了它，里面有很多的,有用的函数，像，所以，那些名字暗示，你可以挑选这些,没有参数的函数，然后你可以通过它的名字,获取他们的数据类型。

哈佛公开课 - 计算机科学课程节选

And that's somewhat inconvenient because we're working with wave functions, but it's a reality that comes out of quantum mechanics often, which is that we're describing a world that is so much different from the world that we observe on a day-to-day basis, that we're not always going to be able to make those one-to-one analogies.

这对于研究氢原子，很不方便,但这就是事实,而且在量子力学中经常会出现这种事实,那就是我们要描述的世界，和我们日常所看到的世界,之间的差别是如此之大,以至于我们不能，做出一一对应的类比,但幸运的是我们不用管。

麻省理工公开课 - 化学原理课程节选

But very soon will you find that if you're writing programs with lots and lots of functions, and some might call these, and these might call these, you can come up very soon with scenarios where you can not order them top to bottom, because everything is comingled, and there's a lot of cross talk among all of your functions.

但是不久后你们会发现你们写的程序中,有很多很多的函数，有的函数调用这些函数，这些函数又调用另外的函数，你不能用脚本,把它们从上到下排序，因为所有函数相互混合,在你的函数中也有很多交叉。

哈佛公开课 - 计算机科学课程节选

minutes with a different variation on how to use functions to think about problems.

我想在最后的十分钟里讲一讲,怎样用不同的变量让函数。

麻省理工公开课 - 计算机科学及编程导论课程节选

And we'll see if you try to mess with our functions by providing a string when we want an int, or providing an int when we want a string, you may very well get yelled at and the user will have to retry.

我们可以看到，如果你尝试打乱我们的函数,当想要一个int数时我们提供sting型，或者,当想要一个sting数时我们提供int型，你可能会被吼叫,然后用户不得不重新尝试。

哈佛公开课 - 计算机科学课程节选

No. So we deliberately, in CS50's library, named these functions consistent with their behavior.

不行，所以我们故意在CS50的函数库中，根据函数的作用来给他们命名。

哈佛公开课 - 计算机科学课程节选

Sometimes the functions -- sometimes a function can be used on multiple data types, plus, for example, we saw could add strings, or could add ints, but each one of those data types has associated with it a set of functions that are geared to handling them.

比如说，我们可以对string类型,进行add操作,也可以对int类型进行这个操作，但是这些数据类型中的每一种，都与适合于操作它们的,方法集相关联,我们想对我们创建的数据,类型做同样的事情。

麻省理工公开课 - 计算机科学及编程导论课程节选

Cv The only difference is it'll be Cp instead of Cv, B but there it is for pathway B. There it is for C a pathway C. So the state functions that we're familiar with are doing what we expect they ought to be doing, right? If you go around in a cycle, starting and ending at the same place the state functions have to stay the same.

是Cp而不是，这是路径,这是路径,所以我们熟悉的态函数的行为,正与我们预期的相同，对吧？,如果你沿着循环走一圈,开始和结束于同一个位置。

麻省理工公开课 - 热力学与动力学课程节选