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。
So when you operate on the wave function, what you end up with is getting the binding energy of the electron, and the wave function back out.
所以当你将它作用于波函数时,你得到的是电子的结合能,和后面的波函数。
The body of that function looks exactly like the computation up above, except I'm simply using those in place of the specific message I had before.
方法体内部看起来,很像上面的计算过程,除了我用这些来替代了,原来的那些特殊信息。
So up top, the function prototype.
在顶端,那个函数原型。
So organs are made up of combinations of tissues where all the tissues are collections of cells that are doing some function, nervous tissue, muscular tissue, epithelial tissue, those are examples of tissues that form organs.
所以器官是由各种组织组合而成,所有的组织都是,具有某些功能的细胞集合,神经组织,肌肉组织,上皮组织,这些都是由组织构成器官的例子
so, remember we can break up the total wave function into the radial part and the angular part.
记住我们可以把整体波函数,分解成径向部分和角向部分。
So, I don't know what she grew up hearing about when she went to her grandparents' house, but it might have been wave function squared.
我不知道她小时候,在,她外祖父家里,听到了什么,也许她听到过,波函数。
sigma1s And what we end up for our molecular wave function is sigma 1 s.
最后我们得到了分子波函数。
while we do, in fact, have the wave function plots up here.
这里已经画了波函数,但看这些图时一个关键的地方。
So, conceptually if you've ever wondered why you get access in all of your functions to global variables that's because they're not down here, they're at the very top of RAM and any function can access that RAM way up there, but for now the interesting player in the story is this thing called the heap.
所以,如果你想知道为什么全局变量能在,所有的函数中使用,那是因为它们不在这下面,而是在内存的顶端,那样任意函数都可以在内存中使用它们,现在,这里面一个有用的角色是,叫做堆的东西。
So again, if we think of a graph of the wave function, we had the wave function is at its highest amplitude when it's lined up with the nucleus, and then as we got further away from the nucleus, the amplitude of the wave function ends up tapering off until it never hits zero exactly, but it goes down very low.
同样,如果我们想象一幅波函数的图,波函数在原子核的位置上,有着最高的振幅,随着与原子核距离变远,波函数振幅逐渐变小直到,它永远不会到零,但它会变得很小。
Now if you call a function, swap like increment or cube or swap, or in this case, foo, those variables are the parameters to that function, end up getting stored next in memory.
现在如果你调用一个函数,像increment或者cube或者,或者在这个例子里,foo,这些变量都是,函数的参数,在内存中存储。
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。
I have yet to show you the solution to a wave function for the hydrogen atom, so let me do that here, and then we'll build back up to probability densities, and it turns out that if we're talking about any wave function, we can actually break it up into two components, which are called the radial wave function and angular wave function.
我还没有给你们看过,氢原子波函数的解,让我现在给你们看一下,然后再来说,概率密度,实际上,对于任何一个波函数来说,我们可以把它,分解为两部分,分别叫做径向波函数,和角向波函数。
And, again, the rectangle represents your computer's RAM, the bottom represents the part of RAM that we generally call the stack, main conceptually ends up on the bottom of the stack followed foo by its local variables then the function say foo that it calls and on and on and on and up, but there is, in fact, something above all of this and we've seen this picture briefly and that's this thing called the heap.
再次,矩形表示的是计算机内存,底端表示内存的一部分,通常我们把它叫做堆栈,main函数在,堆栈的底端,之后是,它的局部变量,然后是它调用的函数,等等等等,但是那里有,实际上,在这个上面,我们粗略看看这个图画,这个东西叫做堆。
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