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Remember, we don't do a one-to-one correlation, because p x and p y are some linear combination of the m plus 1 and m minus 1 orbital.
记住，我们不需要把它们一一对应，因为ｐｘ和ｐｙ轨道是,ｍ等于正负１轨道的线性组合。
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The highest probability now is going to be along the x-axis, so that means we're going to have a positive wave function every place where x is positive.
概率最高的地方是沿着ｘ轴，这意味着只要在ｘ,大于零的地方波函数都是正的。
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x It says, take the name x and create a binding for that name to the value of the sub-expression and in fact to do this, to stress a point, let's do that.
它的意思是，创建了一个名字,然后创建了对于这个名字,和子表达式的值的绑定,实际上这么做，我们是为了，要强调一个点，让我们来说说这个点。
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This is a chest x-ray that would be taken in your doctor's office, for example, or a radiologist's office.
这是一张胸部的X光片,人们会在医生的办公室,或放射科医生的办公室之类的地方见到它
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So you see what it is--it's a measure of how much x deviates from the mean, but it's squared.
你会看到,这个指标,衡量的是x与平均值的偏离,而且这里有个平方
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But for now let's simply say that we have a diffraction which we know occurs only by wave-like behavior and it involves the use of x-rays. Why x-rays?
但现在让我们来简单假设一下,我们知道,只波才发生衍射,而且衍射涉及了X光的使用，为什么是X光？
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He still incurred -C because he ran and he also has a cost of |x-y| because he doesn't like Mr. Y winning.
他同样有-C的收益因为他参加了竞选,且他还有|x-y|的成本,因为他不喜欢Y先生获胜
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- The fact that I've called it X, is really just a programming -- it's a feature of the programming language that I, the human, can now refer to it.
事实是我叫它为X，它实际上只是一个程序-,它是程序的一个特写，我们可以参考使用它。
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Then, I gave you one other very important example of a particle moving in the x-y plane.
下面我再拿一个重要的例子,质点在 x-y 平面内的运动
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That's a choice, and that choice turns out to be very interesting and really important, because if you connect these two points together, you get a straight line that has to intercept the x-axis at some point.
在这一选择下,我们会发现一件非常有趣，而且极其重要的事,当你把这两点用直线连接起来，你会发现这条直线,将与x轴在某点相交。
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If it's in polar form I passed in a radius and angle and I'll compute what the x- and y- value is.
以及半径和角度,但是现在是这样的,不管我是以哪种形式。
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Well you know what a point is, it's got an x- and a y- coordinate, it's natural to think about those two things as belonging as a single entity.
把这两个坐标认为，是属于一个独立的实体，是理所当然的事情,因此实现这个目的的。
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Right now it's a simple template, but it's a template for creating what a class looks like, and I now have an x- and y- value associated with each instance of this.
那么大家明白了为什么，我说类是一个模板了，对不对？,现在它只是一个简单的模板，但是它是一个用来-,创建形成一个类的模板。
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There is no way that you could irradiate a crystal of nickel with a single beam of x-rays and get that circular ring pattern if the electron beam were behaving as a particle beam only.
没有什么其他的途径,可以让镍晶体发射,单束X光来,继而得到环状图案,如果电子束,是以粒子束形式出现的。
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You go back to the same x-y plane; here is some vector A.
回到刚才的 x-y 平面上,这是某个矢量 A
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Some of these are still listed on The New York Stock Exchange page; on the day that a stock goes ex-dividend, they'll have a little "x" by its price.
有些还在纽约证交所的网页上,股票除息的那一天,股价前面会有个小小的"x"标记
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It says, if I want to print out something I built in Cartesian form up here, says, again, I'm going to pass it in a pointer to the instance, that self thing, and then I'm going to return a string that I combine together with an open self and close paren, a comma in the middle, and getting the x-value and the y-value and converting them into strings before I put the whole thing together.
这不仅仅是个列表,它是怎么来做的？,流程是：如果我想要返回,一些已经在笛卡尔模式下建好的值，好，再说一遍，我首先要传入一个,指向实例的指针,也就是，然后我会返回一个,由开括号，闭括号,中间的一个逗号,以及提前转换为字符串格式的。
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I'm taking advantage of the fact that start is going to be a point, and I'm just directly saying, John give me your x-value.
我利用了开始是一个点这个事实,然后我就直接说，返回给我你的x值，因此我不知道。
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So I don't know don't, John, I would argue if I'd written this better, I would have had a method that returned the x- and the y- value, and it would be cleaner to go after it that way.
我会去辩论这么写是不是更好，我也可以写一个，返回x坐标和y坐标的方法,这么做可能会更清楚一点，这是很棒的缩写，好。
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As long as we understand that, we can do this cancellation and this says on the left-hand side the change in the quantity v square over 2 is a times the change in the quantity x.
只要我们明白这一点,我们就可以这样做简化,在等号左边,v^/2的变化量,为a乘以x的变化量
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OK? And in fact, if you look at the code up here, and it's on your handout, the very first one, x 1, right here- if I could ask you to look at it-- is a piece of code to do it. And I'm less interested in the code than how we're going to analyze it, but let's look at it for a second.
实际上，如果你看看,你们课堂发的材料上面的代码，第一页上的，就是那-,大家请看看实现的这一部分代码,我不太关心,我们会怎么解释这个代码,首先让我们先看看。
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