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And the answer,she says, is that bilingual people are often better at controlling their attention -- a function called the executive control system.
VOA: special.2011.03.09
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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, if you look at any engineering system, the performance of that engineering system is a function of its design and its construction.
如果你们观察过工程系统，工程系统的性能就是,它的设计和构造的功能。
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So, for example, if we were looking at the actual wave function, we would say that these parts here have a positive amplitude, and in here we have a negative amplitude.
我们看，一个波函数,我们说，它这部分幅值，为正,这部分幅值为负，当我们看。
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OK, now, we're going to look at the internal energy, and we're going to pretend that it is explicitly a function of temperature and volume.
好，我们接下来看看内能，我们假设,它是温度和体积的函数。
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For some reason, at the top of this file, I've also included what I've called a function prototype.
因为一些原因，在这个文件顶端，我包含了一个函数原型。
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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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And then, you can look at the nutrient broken down as a function of the percent daily values.
下面是各种营养成分的含量,及其所占每日建议摄取量的百分比
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We assume that unless we're dealing with Scheherazade, it has to have an end, but at the same time we might well ask ourselves, why does it have a middle? What is the function of the middle with respect to a beginning and an end?
而且我们认定一定会有结尾，除非讲故事的是那个，《天方夜谭》中的苏丹新娘，但是我们要问自己了，为什么故事一定要有经过呢？,故事的经过对于开头结尾来说起到什么作用呢？
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Of course, we will also be talking about behavioral finance in this course and we'll, at times, be saying that the utility function concept isn't always right-- the idea that people are actually maximizing expected utility might not be entirely accurate.
当然 我们还会,在这门课上讨论行为金融学,并且,我们会间或,讨论到效用函数不总是正确的,人们希望最大化期望效用的观点,也许并不是完全准确的
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Then, to find the meaning of b, we take one derivative of this, dx/dt, that's velocity as a function of time, and if you took the derivative of this guy, you will find as at+b. That's the velocity of the object.
接下来,为了弄清b的含义,我们取它的一阶导数,dx/dt,得到速度作为时间的函数,如果你对它求导的话,你会得到at+b,这就是物体的速度
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Let's plot droplet velocity as a function of looking at the number that have this velocity 0 with the zero being in the center here.
我们将液滴的速度设定为,观察那些数字作用，在中心的地方,速度为。
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So again, for both heat and work we don't get the same result. Now let's look at our special function, right. So here's path A.
所以，再一次说明，对于热量和功,我们得到的结果是不同的,现在让我们看看我们的特殊函数。
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So again if we look at this in terms of its physical interpretation or probability density, what we need to do is square the wave function.
如果我们从物理意义或者,概率密度的角度来看这个问题，我们需要把波函数平方。
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So, the wave function at all of these points in this plane is equal to zero, so therefore, also the wave function squared is going to be equal to zero.
因此这里的,波函数平方也等于零，如果我们说在这整个平面上,任何地方找到一个ｐ电子的概率都是零。
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So it turns out that, main, yes, is the default function you write, at least in C, when writing a program.
结果是，main函数，是的，这是你写的默认函数，至少是在C语言中，当写程序的时候。
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e The charge on the anion times minus e, so there is the minus e squared, 0R0 and divided by 4 pi epsilon zero r naught, because now I am evaluating this function at r naught, one minus one over n where n is the Born exponent.
阴离子的电荷乘以，因此会有-e的频繁，除以4πε,因为现在我用r圈评估这个函数，1-1/n，n是波恩指数。
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Again we can look at this in terms of thinking about a picture this way, in terms of drawing the wave function out on an axis.
同样我们可以,用这个图像来考虑，从画轴上的波函数来考虑。
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So, at this place where it hits zero, 0 that means that the square of the wave function is also going to be zero, right.
它达到0的地方，这意味着波函数的，平方也是,如果我们看概率密度图。
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We're defining the function at the bottom.
我们在底端定义那个函数。
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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。
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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。
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now we're not just talking about 1 photon, 1/2 let's say we shoot them all at the same time at our metal, each of them having some energy that's let's say 1/2 the work function. So, just to take a little bit of an informal survey, who thinks here that we will have an electron that is ejected in this case?
我们现在不仅仅讨论一个光子，它们所具有的能量是功函数的，我们在同一时刻把它们打到金属上,我们做一个不太正式的调查,谁认为这种情况下,一个电子会被打出？
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Well, simply with the * notation at least on the way in when you declare the function called swap, you simply say this is not going to take an int and another int because that's useless.
好的，简单说，当你声明一个函数调用swap函数时,使用*符号，你可以简单说，这不能使用一个int数和另外一个int数,因为那是无效的。
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But as soon as the most recently called function finishes executing, you have to take that tray off the stack in order to get at the previous function's memory, and once he's done executing, you have to take that one off and then what's left well then main.
但是，一旦新的调用函数结束了执行,你必须从堆中把托盘拿掉,用来获得先前函数的内存，一旦他完成执行，你必须把那一块拿下来,然后剩下的是main函数。
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Well, for a thing called main which itself is a function but a function I wrote, a tool I am writing at the moment not like printf which someone else wrote long ago, I have to say where does main start, where does main end, and I do that by using these curly braces.
至于这个名曰main的函数,由我们自己写的函数，也是一个工具,只不过由我们自己编写，而不是像printf那样已经由前人写好了,我们必须要说明main在哪开始，在哪结束，这样我们就要用到大括号了。
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So, you remember from last time radial nodes are values of r at which the wave function and wave function squared are zero, so the difference is now we're just talking about the angular part of the wave function.
你们记得上次说径向节点在,波函数和波函数的平方,等于零的ｒ的处，现在的区别是我们讨论的是,角向波函数。
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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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We'll then look at the quantity, internal energy, which we define through the first law, and we think of it as a function of two variables T and V.
接下来我们考虑内能，这是由热力学第一定律定义的物理量，我们把它看作T和V的函数。
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If you run these curves only on non-smokers you get rid of that J at the end of the curve and you get pretty much a function that's to the right of the curve here.
如果仅在不吸烟人群中做统计,那么左末端就不会出现J形曲线,而是会得到一条,从左到右逐渐上升的完美的函数曲线
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