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So problems arise but they're interesting problems, and they are a function, one of the six functions, of the expression "It is raining."
问题就出现在这里，但这是有趣的问题,是六功能中的一个“
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They prevent the ligand from reaching its natural receptor, and so that antagonizes or inhibits the function of the natural ligand.
它们能够阻止配体与受体的结合,这样就拮抗或者说是抑制了配体的功能
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So, I think the marketing function, the best aspect and the best it can do is surface the product as much as possible.
所以我觉得营销功能，最有力，最强大的一面,就是让这个产品尽可能多地显露出来。
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So as a function and not as a subjective consciousness to which we appeal to grasp a meaning, the author still does exist.
所以作为一种功能，而非一种我们需要领会的主观意识,作者仍是存在的。
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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。
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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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The basic idea in solving these equations and integrating is you find one answer, so then when you take enough derivatives, the function does what it's supposed to do.
解决这类方程以及积分的基本思想就是,你求出一个解,然后进行多次求导,求导的结果就满足条件
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Only the operating system has controlling of byte zero NULL in the computer's RAM and so if a function ever returns null, aka zero, well, something must have gone wrong because that can't possibly belong to me that memory because by human convention zero is owned by the operating system; not by a program I wrote.
只用操作系统在内存中能够控制,字节0，并且如果一个函数返回，或者说0，好的，可能出错了,因为那可能是不属于我的内存,因为惯例上，0是由操作系统拥有的,而不是由我的程序拥有的。
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Find the best response function by differentiating this and maximizing the function for every q2, so we could just... Good, so what we're going to do is, all right good, we're going to... We're trying to maximize.
求导得出q2取最大值的情况下,参与人1最佳对策是q2的一个函数,说得很好,接下来,我们要求出最大值
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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, essentially we're just breaking it up into two parts that can be separated, and the part that is only dealing with the radius, so it's only a function of the radius of the electron from the nucleus.
所以本质上我们把它写成,两个可分离的部分，这部分，只与半径有关，它仅仅是，电子,到核子距离的函数。
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Your gut's unable to function in the normal way, and so you get severe diarrhea.
使肠道不能正常工作,这时人就得了严重的腹泻
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This is one aspect of Biomedical Engineering, developing tools that allow you to understand how human's function and what's wrong when they have disease and so some of the things we've talked about have that category.
这是生物医学工程研究的一个方向,即设计那些能够让人们了解,人体的运转方式的工具,以及能够诊断疾病的工具,我们刚才讲过的一些东西就属于这类
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So we hit the curly brace so the very bottom of the function and as soon as you hit that, the next line in the story is well, then we return to main and where are we executing in main?
我们抵达花括号了，这是函数的末尾了,一旦到了那个地方，在下一行，然后返回到main函数中，在main中哪里开始执行？
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So, in the language of calculus, x is a function of time and this is a particular function.
所以,从微积分的角度来看,x是一个关于时间的函数,而且是个很特殊的函数
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Well, what's nice about this program is that there's just one function, main, so we don't need to draw the stack and get things all complicated.
这个程序的优点是,这里只有一个函数main，这样我们就不需要,画出堆，也不用那么复杂。
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In contrast when we're looking at a p orbital, so any time l is equal to 1, and you look at angular part of the wave function here, what you see is the wave function either depends on theta or is dependent on both theta and phi.
相反当我们看ｐ轨道时，任何时候ｌ等于１,你们看它的角向波函数，你们可以看到它要么是和theta有关,要么是和theta和phi都有关。
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So this is version two of the swap function and, in fact, it is almost identical, this is before, this is after, before, after and it looks like the solution to this problem that we've been revisiting a couple of times now is just to do what?
这个swap函数的第二个版本，实际上，这几乎是一样的，这是之前的，这个之后的，之前的，之后的，这看起来像是这个问题的解决方案,我们一直多次访问它,目的是什么呢？
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So if we think about the work function for zinc, and the work function for zinc is 6.9 times 10 to the -19 joules, do we expect that when we shine our UV light on the zinc, we'll be able to eject electrons?
如果我们考虑锌的功函数,它是6，9乘以10的-19次方焦耳，我们是否可以预测当,用紫外灯照射锌时，我们可以射出电子呢？
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And what here is just a graph of the 1 s wave function going across some radius defined this way, and you can see that the probability - well, this is the wave function, so we would have to square it and think about the probability.
这里是,1s波函数,沿这个方向的图，你们可以看到概率,这是波函数，所以我们可以把它平方,并想成是概率。
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So we can draw that for 1 s a, we can also draw it for 1 s b, and what I'm saying for the molecular wave function is that we have the interference between the two, and we have a constructive interference, so we end up adding these two wave functions together.
所以我们可以对1sa画出它来，我们也可以对1sb画出它来，对于分子波函数我要说的是,它们两者之间会干涉，这里我们有相长干涉，所以我们得到的是波两个波函数加起来。
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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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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。
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So we have the operationon the wave function in terms of r, theta, and phi and remember this e is just our binding energy for the electron, and we get back out this wave function.
我们用r，θ，φ来表示,将算符作用于波函数,而且记住e仅仅是电子结合能，然后后面加上波函数。
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