In the e-mail, he used the words "trick" and "hide the decline" when writing about a graph showing rising temperatures.
VOA: special.2010.01.19
So I mentioned you should be able to identify both how many nodes you have and what a graph might look like of different radial probability distributions.
我说过你们要能够辨认,不同的径向概率分布有多少个节点,以及它的图画出来,大概是什么样的。
This first slide shows a graph of the impact of having metabolic syndrome on heart disease and its consequences.
这张图表明了代谢综合征,对心脏病的影响以及造成的结果
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
We can know this information even if we just knew that the bond was stronger, we wouldn't need to look at a graph here, because it turns out that if you have a stronger bond, -- that also means that you have a shorter bond -- those two are correlated.
我们依然可以得到上面的信息,即使我们所知道仅仅是这个键更强,我们不需要去看这个图,因为事实上如果你有一个更强的键,这也就意味着你有一个更短的键-,这两点是互相关联的。
But here's a graph.
这里有张图标。
And then, so you can get, you can actually find a graph of this B.
我们可以得到B的,温度曲线图。
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
And it takes the set of stocks to simulate, a fig, figure number, this is going to print a bunch of graphs, and I want to say what graph it is, fig mo and whether or not I believe in big mo.
我们需要一些股票才能进行模拟,很多很多的股票,我们会打印一些图,然后我会告诉你们这些图是什么意思,或者我们看到这个。
The way we read this green graph is you give me a choice of Firm 1, q1.
这条绿色的线表示,任意给出公司1的产量q1
for the most part, if stocks have done much better if you've bought them at a point that looks cheap on that graph than one that looks expensive.
如果你做得很糟糕的话-多半情况下,you've,done,poorly,if—,如果你通过市场曲线图,在看上去比另外一个时间点便宜的时候买进它们,而股票又表现得非常好。
You'll see a graph with yellow lines, yellow bars that are people without the metabolic syndrome and red bars are people with.
图上黄色柱子表示没有患代谢综合征的人,红色柱子表示患有代谢综合征的人
And for a 2 s orbital, you get a graph that's going to look something like this.
对于2s轨道,你们可以得到一个大致是这样的图。
So you should know when you look at a graph like this what it's doing.
因此当你看到这样一个图表时,要知道它是怎样运动的
So what I've said so far is, a particle moving in time from point to point can be represented by a graph, x versus t.
到目前为止,我说过,一个质点随时间的连续运动,可以用一幅x-t图来表示
And in this case, we have a graph that looks something like this.
这时我们有一个这样的图。
So, most people could recognize that light wave a has the shorter wavelength. We can see that just by looking at the graph itself -- we can see certainly, this is shorter from maxima to maxima.
0秒钟,好的,不错大部分,同学都可以判断出来这个光波的,波长更短,我们仅通过,看图就能看出来-可以。
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。
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。
So what we would like to do is to describe what the object does by drawing a graph of time versus space and the graph would be something like this.
然后我们要做的就是描述这个物体的运动,通过画一个"x-t"图,画出来的图就像这样
Let's create a graph here that on the x axis it's going to be time, so time zero will be when you first take in a food and then one hour later, two hours later will be shown as you go from left to right, and then we'll have blood glucose level up on the y axis.
我们在这建立一个曲线图,X轴代表的是时间,所以零时间点是你第一次进食的时间,然后一小时以后,两小时以后,是从左到右呈现在图表上的,在Y轴上是你的血糖值
We can graph out what this is where we're graphing the radial probability density as a function of the radius.
我们可以,画出它来,这是径向概率密度,作为半径的一个函数图。
So, the example that we took on Monday and that we ended with when we ended class, was looking at the 1 s orbital for hydrogen atom, and what we could do is we could graph the radial probability as a function of radius here.
周一我们,最后讲到了,粒子是氢原子1s轨道,我们可以画出,这幅径向概率分布曲线。
So, that's sort of the mathematically how we get to a, but we can also just look at the graph here, because every time we go one wavelength we can see that we're back in a maximum.
这是就我们得到a的数学,办法,但我们可以直接,从图上看,因为每次我们,经过一个波长,都回到一个最大值。
So here we have energy increasing on the y-axis, and you see this straight line at the bottom here is lower down on the graph, and that's the energy of a bound electron, so that's going to be a low stable energy.
这里我们看到能量沿着y轴增加,而且在这张图片上,这条直线在底部是降低的,那是一个束缚电子的能量,所以那是一个低稳态能量。
So that's why we have this zero point here, and just to point out again and again and again, it's not a radial node, it's just a point where we're starting our graph, because we're multiplying it by r equals zero.
这就是为什么在这里有个零点,我需要再三强调,这不是径向零点,他只是我们画图的起始处,因为我们用r等于0乘以它。
So, what this lets us do now is directly compare, for example, the strength of a bond in terms of a hydrogen atom and hydrogen molecule, compared to any kind of molecule that we want to graph on top of it.
因此,这让我们现在可以做到直接进行比较,比如,将一个氢原子,和一个氢分子的键的强度,与任何其它类型的分子进行比较,我们只需要把它的曲线也画在这幅图上。
So here what we did before was we drew these graphs with probabilities, with beliefs of Player I and the problem here is, previously we had a nice simple graph to draw because there were just two strategies for Player II.
我们之前画了有关概率的图像,图像是在参与人的某个信念下的,但问题是之前参与人II只有两个策略,所以我们能画出那个简单的图像
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