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So, you can see how this can directly give us different ionization energies for any atom that we're interested in studying.
那么，大家可以理解,这种技术如何直接给出我们所要研究的,任何一种原子的所有不同的电离能。
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We give them a list of areas in the business, and they get to select their first, second, third choice.
在我们给出的公司业务的很多领域中，做出第一，第二，第三选择。
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So let's picture what this looks like here, and we'll start with four and we'll add in our last two.
让我们想象一下它的样子，我们先给出四个，然后加上另外两个。
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But dualism doesn't so much offer the explanation typically as just say, "Well, maybe we'd be better off positing something immaterial."
但是二元论还没有给出,这样的解释,也许我们假设非物质的存在会好一些
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So here we have a second definition, a new definition for today, and again we can use our jargon.
这里我们给出第二个定义,也是今天的一个新定义,我们再一次用到术语
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And so instead of defining efficiency the way you've got it written there, I'm going to define what's called something different for a refrigerator which is called the coefficient of performance.
现在我们不用,效率的那个定义，我给出一个,有关制冷机的,新的定义,叫做制冷系数。
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So let me go ahead and pull up the staff solution 15 to the standard edition for a moment, the game is called 15, it takes one command line argument which is the dimensions of the board 3 by 3, 4 by 4, I'll do it 4 by 4.
下面我们继续,等一会儿，我会给出标准的解答，这个游戏叫做，有一个命令行参数，标识其大小是,3阶还是4阶，我选择4阶。
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Third, I'd like to answer these questions from sound points of view and tell you a little bit about what we are doing and how we are doing it.
第三，我想对这些问题,给出合理的答案,并讲点我们,要做的事及完成的方式。
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And then I'll give you some examples of some of the specific topics that would be covering.
接下来我会给出一些,我们会涉及话题的具体实例
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Let's review another point and I'll get to a second question that was asked.
现在让我们复习另一个知识点，我将给出第二个问题。
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But it gives us our answer.
但是它给出了我们答案。
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But again, that we will supply for you on the exam just in case you forget it at that moment.
但在考试中我们会给出这个值,以防你当时忘记了。
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Which is just to say, we need to offer a biological/physical explanation of what goes on in near-death experiences.
那也只不过是说,关于濒死体验我们需要给出,一个生物学或物理学的解释
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Also, when we're looking at the Schrodinger equation, it allows us to explain a stable hydrogen atom, which is something that classical mechanics did not allow us to do.
当我们看一个薛定谔方程的时候，它给出一个稳定的氢原子,这是在经典力学中做不到的。
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So, over the last few lectures we've worked and struggled so formulate the second and third laws of thermodynamics in addition to the first.
在前几次课中,我们通过努力明确的,给出了热力学,第一，第二和第三定律。
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that'll provide these relations And at this point we know enough to do this in a straightforward way.
并且给出相应的关系式,目前我们有足够的信息,能够很直接的做到这一点。
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The second assumption we're going to make which is new is that we're going to assume that candidates cannot choose their position.
我们给出的第二个假设,这个新的假设是,候选人不能选择他们的位置
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And what they could come up with, what they reasoned, is that there must be some intrinsic property within the electron, because we know that this describes the complete energy of the orbital should give us one single frequency.
他们想到着一定和，电子的本征性质有关，因为我们知道这个轨道的,完整描述会给出单一的频率。
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What we began with would be the professor's family tree.
首先，我们学习了,教授给出的家谱。
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We don't really have very much of a physical explanation until we begin to offer scientific accounts of each of those aspects of near-death experience.
我们并没有什么物理学的解释,除非我们能够对濒死体验的各方面,给出科学的阐释
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Let's think about Firm 2, is Firm 2 playing a best response to Firm 1?
我们从公司2的角度想一下,公司2针对公司1给出了最佳对策吗
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So there's not a counterexample, now that we interpret the relevant notion of invisibility as undetectibility.
所以就没有了反例，因为我们给出的无形这个词的解释,是无法检测。
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So, let's look at what this actually is for what we're showing here is the 1 s hydrogen atom.
让我们来看看,我们这里给出的这个氢原子1s轨道,到底是什么。
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But, actually, we didn't do that in a general way.
但是实际上我们没有给出普遍的方法。
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With each lecture we put together pre-lecture questions and post-lecture questions that the students were required to answer and they used their learning space that I told you before: Sunspace.
每次讲座我们都会给出,课前问题和课后问题,并要求学生回答,他们利用我之前谈到的,学习空间，即阳光地带。
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It's somewhat different when we're talking about the p or the d orbitals, and we won't go into the equation there, but this will give you an idea of what we're really talking about with this radial probability distribution.
当我们讨论ｐ轨道或者,ｄ轨道的时候会有些不同，我们那时不会给出方程，但它会给你们一个,关于径向概率,分布的概念。
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So, basically what we're saying is if we take any shell that's at some distance away from the nucleus, we can think about what the probability is of finding an electron at that radius, and that's the definition we gave to the radial probability distribution.
本质上我们说的就是,如果我们在距离原子核,某处取一个壳层，我们可以考虑在这个半径处,发现电子的概率，这就是我们给出的,径向概率密度的定义。
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That is, ideal gas. And see how it works with that.
然后看我们上面的步骤如何给出有用的结果。
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Later we are going to prove it exactly.
以后我们会给出准确的证明。
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We're also posting a practice exam for you to take, so after you're completely done your studying, it's good to have everything done before you take the practice exam, and then sit down just with this sheet here and your calculator, and ideally a timer, and make sure you can do the practice exam in the allotted amount of time.
我们还将给出一份模拟试题，因此在你完全复习好之后，最好先复习完,再做这份模拟试题，坐下来,只拿出这张表与计算器，最好还有个计时器，确保自己完成模拟题,在规定的时间内。
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