And, I will go through the actual line by line derivation not because I want to do derivations in class.
我们要仔细讨论实际的线,和推导出来的线,并不是我想在这节课做推导。
These anachronisms and confused chronologies in the patriarchal stories are the rule rather than the exception in their view, and they are evidence of a very late date of composition.
在他们看来,这些年代错误和混乱的时间线,在族长故事中是普遍现象而不是例外,明显是十分近代的作品。
And, furthermore, that the intensity of the splitting was proportional to the intensity of the applied magnetic field.
并且谱线的分裂程度,和实验中所使用的磁场强度,是成比例的。
What they also did around the year one thousand was to identify-- to label--these particular spots--spaces and lines.
在公元一千年左右,他们还制定了规范,来标记这每一个点,间和线
And let's just draw how those, that pink and blue line look in that box.
我们在方格内填充粉色和蓝色的线
The budget constraint is going to have a different slope to it and preferences will be different over this horizon between consumption then and consumption now.
预算约束线的斜率会有所不同,人们对即时消费和延期消费的偏好,也会有所不同
Pulling wires and pulling out components and stacking them together.
把线和零件,堆放在一起。
So these names, they don't really make any sense why they're called past s p and f, and it turns out that it comes from spectroscopy terms that are pre-quantum mechanics where, for example, this is called the sharp line, I think the principle, the diffuse, and the fundamental.
看到这些名字,你会发现,它们为什么叫s,p,f是没什么道理的,事实上,它们来源于,量子力学之前的光谱学中的术语,例如,它们分别叫做锐线,我认为是主线,漫射和基本。
Why,when dealing with harmony and bass lines, do I want to start by focusing on popular music and then apply those principles to classical music?
为什么在处理和音和低音线时,我是否需要注重流行音乐然后将这些原则应用到古典乐上?
What does it tell us that the pink and the blue line cross?
粉色的线和蓝色的线相交说明什么
Why is it--what's going on at that line?
这和那条线有什么关联呢
It has to do with tapestries and carpets and things like that where you weave different strands in in different ways, and somewhere in my deep recesses I have these words "Wep" And "Warp" Or something like that.
它和挂毯和地毯之类的东西一样,你可以用不同的方式编织不同的线,在我内心深处,有这么一些词,交错,和,蜿蜒
So I want to go back again, now we're considering the line on the board as being flavor in beer, or location in a town, and I want to go back to politics now and go back to the interpretation we started with, so that left and right will end up being left-wing politics versus right-wing politics.
所以我想返回去,现在我们将黑板上的线看成,啤酒的口味或城市的位置,我现在再回去讨论政治,回去解释我们最初,把线的左边和右边,看成左派和右派的原因
Well one reason I want to go back is you'll notice I've been putting up these lines on the board and when we visited elections on the second day, we said that you could think of that line on the board, as being not just left wing, right wing politics but also some dimension of products.
原因之一是我想你们将注意到,我在黑板上画了一条线,当我学习第二天学习的选举时,我们讲过你们可以想象黑板上有条线,不仅是左派和右派的政治家,还可以是某种产品特性
All right, where the green and the pink line intersect.
没错,就是绿线和粉线的交点
So more succinctly, Player I and Player II, at this point where the lines cross, Player I and Player II are playing a best response to each other.
简单来说,参与人I和参与人II,在这两条线的交点处,互相都采用的是最佳对策
So what we're going to do is take the equations for those two lines, so here's one of those equations and here's the other one, set the P in those equations equal to X, I've got two equations in one unknown, I'm sorry, I've got one equation and one unknown.
接下来我们只需要,列出这两条线各自的方程,也就是这个方程和这个方程,把方程中的P换成X,我就得到了两个等式和一个未知数,错了,是一个等式和一个未知数
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