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Let's begin with a kind of warm-up sheet which we can anchor in these little drawings I've made.
让我们先来热一下身,看一下我在黑板上画的图。
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So any time in a molecular orbital diagram you draw in orbitals, you need to draw the corresponding molecular orbitals.
任何时候你在分子轨道图里画轨道，你都要画出相对应的分子轨道。
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You see that in the top picture. And within those precincts, within that enclosure, there's a large, open courtyard.
你们可以在顶上的图中看到，在界域里面，它的内部，有一片巨大空旷的庭院。
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Where on the picture, let me do a bit more cold calling here, where on the picture maximizes total industry profits?
我随便找个同学来回答一下,在图上哪一点实现了行业最大利润
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I showed you this in this picture here and those levels of control can be at the level of transcription.
我把这些都给你们显示在这张图上,调控可以在转录的水平下进行
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And through his research and other research, it was found that there are maps in the brain of the body.
通过他的研究和其它的研究,人们发现在大脑中存在对身体的定位图
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I draw a graph here of the amount by which I pull the spring versus the force it exerts.
我在这里画个图,纵轴是弹簧的拉伸量,横轴是力的大小
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Square root of 16, and my plot basically shows it crosses at 4 and-- well, I think that's minus 4.
我的图清楚的显示这个函数,在4和-4两个点和x轴交合。
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One, two, three, four, so on each level of the picture I'm drawing, I've seem only to be looking at each number once.
，2，3，4，可见，在我画的,这幅图的每一层上，对每个数字,都只会用到一次。
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There it is. He used the prism spectrograph to analyze his results. So what do we have here?
在这里，他用了棱镜分光图来分析他的结果,得到些什么呢？
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Usually, these get charted out into the so-called overtones, thirty-two partials or overtones, and you can see them playing out here .
通常,这些音就是图表上所谓的泛音,三十二个分音,或者叫泛音,在这张图中能清楚地看到
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He was assassinated by conservative Senate forces-- - you know, Brutus and Cassius and others-- on the Ides of March, as you all know, March 15th, 44 BCE.
恺撒最终被元老院保守派暗杀-,布鲁图斯，卡西乌斯为首的等人-,在3月15日这天，也就是众所周知的，公元前44年3月15日。
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Here's another graph of data on the metabolic syndrome showing how it differs by race and ethnicity.
这是另一幅关于代谢综合征的数据图,它表明代谢综合征在种族与民族间的差异
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So for each person, there is a point representing my income today and my income next period.
所以每个人,在这图上都有一个点表示目前收入和,下一个时间段的收入
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This is 1913, Pound in London, styling himself, isn't he, after those Renaissance artists and poets whom he would write about, translate in this period.
这是1913年庞德在伦敦，图如其人，不是吗？,这是在他所要写到的那些文艺复兴时期的艺术家，和诗人的思想被很好的表达出之后拍摄的。
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All right, so let's go again what our paths are.
现在来在图上看看这两条路径。
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And,so,that centralization is--also there are mountains there, it's easier to build in Brive.
所以说中央集权是…当然,图勒有山,在布瑞福修铁路会更加容易
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We've been discussing energy diagrams a lot in this class, it's a very good way to visualize exactly what's going on.
在这个课里面，我们已经讨论过很多次能量图了，它通常是一个很好的把所发生的事情形象化的方法。
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It turns out we won't really using it, needing to identify it on the graph so much in chemistry.
结果是我们不会实际运用它，那样我们在化学中,将要在图中识别它很久。
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What I plot on this graph here is as a function time, years, dates, life expectancy as a function of time.
在这儿的这张图是,一个关于时间,年,日期的函数,将寿命长短作为时间的函数
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It might not have any electrons in it, but it still exists, so you need to draw these into your molecular orbital diagram.
也许它里面没有电子，但它是存在的，所以你需要在分子轨道图里画出来。
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So what we should expect to see is one radial node, and that is what we see here 3s in the probability density plot.
个节点,这就是我们，在这概率密度图上所看到的,如果我们考虑。
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- Is it a character of eight bytes -- sorry -- eight bits, eight bits, eight bits, and I've done the same picture on the board.
它是一个8字节的字符--对不起-,8位，8位，8位，我在黑板上画了个一样的图。
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I would say with the aid of an energy level diagram explain the fact that helium is found as atomic gas and not molecular. How about this one?
我要说的是，在能级图的帮助下,可以解释氦气是单原子气体,而不是分子气体这一事实,那么这个呢？
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And let's start by considering my payoffs on this picture, just to help myself a bit, let me put some points in here.
我们从在图上表示预期收益开始,稍微等我一下,我先标注出来几个点
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Well, it's a little hard to see, but things tend to take off.
有点难看出来，但是在这里图线是上扬的。
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The budget constraint is a straight line through this point with a slope of .
这个预算限制在这幅图上是一条,是一条经过该点并以为斜率的直线
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There's a pretty interesting and potentially important gender factor going on here where the women in the orange line, after about this point, start to diverge.
性别在该研究中是一个非常有趣的因素,并且是个潜在的重要因素,图中橙色曲线代表女性,在这个点之后,两条曲线开始分离
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The picture is more compelling with an arrow at this point.
在这里这张图中的箭头是扣人心弦的。
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Energy only cares about where I am on the diagram.
只依赖于,两个态在图中的位置。
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