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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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All right, so this is the heat flowing in or out of the system, and these are all functions of state.
好的，这就是系统的热量变化,这些都是态函数。
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So we saw that our lowest, 1 0 0 our ground state wave function is 1, 0, 0.
我们看到最低的，或者基态波函数是。
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When you call a function, what actually happens is that function gets its own chunk of memory that's identical in size to the data type that it expects.
当你调用一个函数，实际上发生的是,函数得到了自己的内存块，相同的类型,是占有一样大小的内存的。
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The last thing I want to say about hashes are that they're actually really hard to create.
最后我想说的是哈希函数非常难以创立,在过去的时间里。
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What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals.
什么是函数,什么是导数,什么是二阶导数,如何对初等函数求导,如何进行初等积分
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Because in "Pay it Forward", they capture this very idea of human networks as exponential functions.
电影“让爱传出去，深刻地描述了,人类网络是指数函数的观点。
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And this is a function of space.
这是空间函数。
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The highest probability now is going to be along the x-axis, so that means we're going to have a positive wave function every place where x is positive.
概率最高的地方是沿着ｘ轴，这意味着只要在ｘ,大于零的地方波函数都是正的。
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If we overlay what the actual molecular orbital is on top of it, what you see is that in the center you end up cancelling out the wave function entirely.
如果我们把真实的分子轨道覆盖在上面，你可以看到中间的,波函数是完全抵消掉了。
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Since we're talking about wave functions, since we're talking about the properties of waves, we don't only have constructive interference, we can also imagine a case where we would have destructive interference.
因为我们讨论的是波函数，因为我们讨论的是波的性质，我们不仅有相长干涉，我们也可以想象在,某种情况下会有相消干涉。
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printf That's not actually where someone implemented print F and related functions, rather, in dot H files, by convention, are prototypes.
那实际不是有某人在哪里执行,相关函数，而是在，h文件中，按照惯例，它们是函数原型。
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It's totally legit to cull a function, get back a value, do nothing with it other than compare it to another value.
挑选一个函数是完全合法的，返回一个值，用它来做些事情而不是用它与其它的值比较。
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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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But now we're talking not about an atomic wave function, we're talking about a molecular wave function.
但现在我们不是讨论原子的波函数，我们讨论的是分子的波函数。
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There's been a lot of work done on these over the years, but in fact, it's pretty hard to invent a good hash function. So my advice to you is, if you want to use something was a hash, go to a library. Look up a good hash function.
已经做过了很多的尝试和努力,但是事实是，很难发明出一个好的哈希函数,所以我给你们的建议是,如果你们想使用哈希功能,到函数库中查找一个好的哈希函数。
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8 Here, it gets a maximum value of 48 and 85 calls.
这里它的最大值是8,函数调用了85次。
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But since these are all simply state functions and quantities, this is generally true.
但是因为这些量都是态函数或者量,所以这个结果是普遍成立的。
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But the fact is it's a state function, in a general way.
事实上这也是个态函数，是普遍成立的。
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And here are the samples of the wavefunctions.
这是波函数的例子。
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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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OK, so, the thing about a state function is that the function has a value for initial conditions and at final conditions.
态函数的特点是,在初始状态有一个值,在末状态也有一个值。
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So, that's probability density, but in terms of thinking about it in terms of actual solutions to the wave function, let's take a little bit of a step back here.
这就是概率密度，但作为,把它当成是，波函数的解，让我们先倒回来一点。
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So we do, in fact, have a dependence on what the angle is of the electron as we define it in the orbital.
实际上当我们定义电子在这个轨道,它的波函数的确是和角度有关的。
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And what is plotted below is the actual wave function, so you can see it starts very high and then the decays down.
下面这画的是，波函数，你们可以看见它开始非常高,然后衰减下来。
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So, we can think about what is it that we would call the ground state wave function.
我们来考虑一下,基态的波函数，是怎么样的。
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The reason that we can talk about this is remember that we're talking about wave functions, we're talking about waves, so we can have constructive interference in which two different orbitals can constructively interfere, we can also have destructive interference.
我们可以这么说的原因是,记住我们说的是波函数，我们说的是波函数，所以我们可以得到相长干涉,这是两个不同轨道会相长干涉，我们也有相消干涉。
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There's no classical way to think about what a wave function is.
我们没有办法从经典力学的角度,想象波函数是什么样的，没有经典的类比。
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So, if we look at the bottom here and the actual plot of the wave function, we see it starts high, very positive, 0 and it goes down 0 and it eventually hits zero, and goes through zero 0 and then becomes negative 0 and then never quite hits zero again, although it approaches zero.
我们看,这下面这是波函数，我们看到它开始很高，是正的，然后降低直到,然后它穿过，变成负的,最后接近,但没达到，在这个。
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So this issue of scope is to say that functions have scope.
所以这个范围问题是说明函数有范围。
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