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What lambda that does, it creates on the fly a function, as the program runs. That I can then pass around.
这里的入是在函数运行的时候，由一个函数创建的，然后我会传递这个值。
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This combining of data and functions on that data is a very essence of object-oriented programming That's really what defines it.
数据与函数的结合,是面向对象编程的核心,这也就是它的定义。
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We can talk about the wave function squared, the probability density, or we can talk about the radial probability distribution.
我们可以讨论它,波函数的平方，概率密度，或者可以考虑它的径向概率分布。
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The only function it is -- it doesn't care where the gas is. It only cares where the temperature is.
是温度的函数,它只是温度的函数,不管是什么气体。
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Gas phase single atom. So we don't have to deal with work function or any kind of energies associated with some condensed form of matter.
气相的单原子，所以我们不需要再,处理功函数的问题,以及和凝聚态相关的能量问题。
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If you scroll back up on the printout or screen here, you'll see that you can actually not only declare function's prototypes, their general structure.
如果我回滚到打印输出或者这个屏幕，你们将看到你们不仅可以声明函数的原型,它们的一般结构。
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Identify the best responses of each player as a function of the others and find out where they intersect.
把每个人的最佳对策看成别人策略的函数,然后找出函数的交点
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What I plot on this graph here is as a function time, years, dates, life expectancy as a function of time.
在这儿的这张图是,一个关于时间,年,日期的函数,将寿命长短作为时间的函数
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So let's understand: what is the nature of exponential function so that we can understand the power of one?
让我们先理解指数函数的本质,以便理解“一“的力量？
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I tell you something about the second derivative of a function and ask you what is the function.
我告诉你一个函数的二阶导数,然后问你这个函数是什么
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.. How valuable-- how well off you are, how valuable your life is, is a function of the contents, the pleasure and the pain.
生命的价值-,你有多幸福，你的生活有多少价值，是生活内容的函数，即快乐与痛苦的函数。
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There's no classical analogy that explains oh, this is what you can kind of picture when you picture a wave function.
可以解释：,哦，这就是，你想象的,波函数的样子啊。
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are all functions of state and parameters that we can control like temperature and pressure.
公式里面的全部都是态函数,我们控制态函数的参数比如温度或者压强。
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And we can also write this in an even simpler form, which is what's called electron configuration, and this is just a shorthand notation for these electron wave functions.
而且我们也可以将它，写为一个更简单的形式，它叫做电子构型,这个仅仅是这些电子波函数的。
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So what I'm going to do is I'm going to go back to my picture and draw these functions.
下面我们一起来,作出这些函数的图像
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So, we're talking about wave functions and we know that means orbitals, but this is -- probably the better way to think about is the physical interpretation of the wave function.
我们讨论波函数而且,我们知道它代表着轨道，但-也许更好的思考方法是,考虑波函数的物理意义。
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- Well, just a moment ago, we did have -- -- and this time I'll use some chalk here -- a moment ago, we did have a picture depicting what was going on when you call the function.
好的，刚才，我们确实有-,这一次我将用一些粉笔-,刚才，我们有一张图描绘了当我们调用函数的时候,会发生什么事情。
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And when you declare a variable, whether as an argument or as literally a local variable, they only live inside of that function.
当你声明一个变量，不论是一个参数,还是一个局部变量，它们只存在函数的内部。
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It didn't really crash, it found an assert statement. So if you look at the bottom of the function, you'll see that, in fact, I checked for that.
其实程序并没崩溃,它只是碰到一个断言语句然后停了下来,如果你看看函数的顶部，你会看到，实际上我断定计数器。
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Or just have the good intentions without the effort that's necessary to bring about a positive exponential function.
还是只有好的意图但不付出,必要的努力发挥正面指数函数的作用。
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The idea of a function is, that I'm going to capture a common pattern of computation.
函数的目的,就是寻找计算的共同模式。
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Because we underestimate the growth of exponential function.
因为我们低估了指数函数的增长。
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I'm using the fact that when you take a cosine and change the angle inside the cosine, it doesn't care. whereas, if you go to the sine and change the angle inside the sine, it becomes minus sine.
我用了一个结论,当你使用余弦函数时,改变角度的正负,函数值不变,而对于正弦函数,改变角度的符号,则函数值也会变号
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So, first, if I point out when l equals 0, when we have an s orbital, what you see is that angular part of the wave function is equal to a constant.
首先，如果ｌ等于０,那就是ｓ轨道，你们可以看到,它波函数的角度部分是一个常数。
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And one of the ways you can make a program crash, intentionally or not, is to essentially use up too much memory or call too many functions and what happens is, bam, one hits the other and bad things happen.
其中一个方式能使你的程序崩溃掉，有意或无意的,它本质上使用了太多的内存,或者调用了太多的函数，所发生的，崩掉，一个冲突了另一个，然后发生了坏事情。
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All right. So, let's look at this in another way, sometimes it's hard to picture these waves combining.
好的，让我们从另外一个方面来看，有时候很难想象这些波函数的组合。
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psi1 0 0 We can call that psi 1, 0, 0, is how we write it as a wave function.
我们可以叫它，这是我们作为波函数的形式写出它。
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So, we can look at other radial probability distributions of other wave functions that we talked about.
我们可以来看一看我们讨论过的,其它一些波函数的径向概率分布。
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What we are going to say is that the wavefunction for molecular orbitals is going to be an additive sum of the wavefunctions of atomic orbitals.
我想说的是,分子轨道的波函数,就是多个原子轨道,波函数的线性叠加。
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- So what's for all this function -- what's the role of this function in life?
这个函数是干什么的-,这个函数的最终角色是什么呢？
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