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There you can actually do sort of substance analysis which you can't really do by conventional x-ray."
VOA: standard.2010.05.05
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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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Now, suppose in fact these weren't x and y glued together, these were radius and angle glued together.
我实际也说过了,我在这里操作的是，和这两个点。
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It's still 1, because you plus plussed the wrong symbol called X. So for now, take-away from this, don't do this.
它还是1，因为你自增的是那个错误的叫做X的符号,现在，拿走这个，不这样做。
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I think it becomes 30 degrees for the freezing of water and 22.5 x 4, which I don't know what it is, 90 100 or something -- no, it's 90 I think.
我想水的冰点,应该变成了30度,22。5，4，我不知道是多少，大概100左右--不，我想是。
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I will draw the famous picture of some particle moving and it's here at t of some value of x.
我会画某个质点运动的,经典图像,这是某个x值对应的时间t
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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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How do I posit-- why do I believe in x-rays, even though I don't see them?
我如何证实,我为什么会相信X射线是存在的,尽管我压根看不见它
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Then the broker has to explain, no didn't you see the "x" there?
经纪人会解释说,你没看见x标记吗
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This is the equivalent to ray optics, isn't it?
这与X射线是等价的，是不是？
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We can also do a similar thing, and I'll keep my distance from the board, but we can instead be holding x constant, for example, putting x to be equal to zero, and then all we're doing is considering the electric field as a function of t.
我们也可以做类似的事情,把x固定为一个常数,例如令x等于零，然后,考虑电场作为时间的函数,这种情况下，我们划掉。
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Yes. Aren't you glad I didn't pick x equals 500?
当然是了，然后再次循环？
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So you're clobbering the value of X and then you can't get back X's value because it's too late.
所以你们清除了X的值,然后你们不能找回X的值了，因为太晚了。
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We don't know how long it takes to do x 2.
我们不知道要多长时间。
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So this first little piece of code right here says, ok you give me 2 points, I'll create another 1 of these lists and I'll simply take the x, sorry I shouldn't say x, I'm going to assume it's the x, the x-values are the two points, add them together, just right there, the y-values, add them together and return that list.
好，为了来认识到这一点,让我们来看一个简单的小例子，在你们的课堂手册上，你可以看到我写了一个小程序,它假设我得到了，这些点中的一些，我想对它们做一些操作，例如我想把它们加到一起，那么这里的第一小片，代码的意思是，好给我两个点，我会再创建一个数组。
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Well, I don't have to use that name for every copy of X, and as we'll see in a moment.
好的，我并不需要每次使用那个X的名字，我们一会儿将看到。
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So you are supposed to know, for example, if x is t^, you're supposed to know dx/dt is nt^.
接下来你就会知道,例如,如果x=t^,那么dx/dt=nt^
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I'm simply saying swap X with Y, but this 2 won't work, because where are X and Y defined?
我只简单地说交换X和Y，但是这两行不起作用，因为X和Y是在哪里定义的呢？
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So now, in this case, this code is going to, when we get here, check, and if you haven't seen that strange thing there, that exclamation point in bang computer-ese called a bang, it says x if ANS star ANS is not equal to x, all right?
那么现在，在这个例子中，当我们执行到这里，代码会去检查,如果你没有看到过这个奇怪的东西,这个感叹号在计算机学中被叫做,代码的意思是如果ANS的平方不等于？
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If you do that at home I think, but don't trust me, you'll find out that X is equal to a third.
如果你回去自己计算一下,你会发现X等于1/3
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For example, this is x=t, x=t^, you're going to have x=sin t and cos t and log t.
例如,这是x=t,x=t^,你还会遇到正弦,余弦,对数函数
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I am hoping that if you learned your calculus, you learned about derivatives and so on by looking at x versus t.
我希望你们学习微积分时,通过观察x-t图来,学习导数等内容
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We've seen in class that you get garbage values if you don't initialize something to a value so let me actually initialize x to a value.
我们在课程上了解到，如果你不给一个变量,进行赋值，它会获得一个无效值,让我把x初始化为一个值。
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Z So it would be incorrect to try to assign this to a variable X or Y or Z, because it doesn't actually give me anything back.
这个是错误的，来赋值这个给变量X或Y或,因为它的确没有返回什么给我。
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Now, I prefaced this a few minutes ago about saying Professor Guttag wasn't going to like me.
结束点返回x坐标,然后把它们加起来。
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You'll put time t=0, x doesn't have this term, doesn't have this term, and it is c.
你令时间t=0,这一项就消失了,这一项也是,只剩下常数c
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Y You don't want to rename them L and R or X and Y right because you want to call them left and right.
你不想把它们重命名为L和R，或者X和,因为你想叫它们为left和。
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At that time t, the x coordinate must have a certain value.
在该时刻,x 坐标一定是个确定的值
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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
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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
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