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A less invasive procedure known as a virtual colonscopy is done with a CT scan that passes x-rays through a patient's abdomen.
VOA: standard.2010.04.07
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Suppose f of x, y, z equals k1, that is my equation, s1 and it gives me a solution s1.
假设我的方程是这样，然后给出了一个解。
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If its in Cartesian form I'll pass in an x and y and compute what a radius and angle is.
来得到的这个点,我都可以得到这个点的,全部的这种信息。
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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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The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.
线性的威力是,一个方程，如果它是个线性方程，那么我就不用再去解他了。
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The allusion to Aristophanes and the comic poet is a part of what Plato calls in Book X of the Republic the old quarrel between philosophy and poetry.
提及亚里斯多芬尼斯,是柏拉图《理想国》第10卷中所述,哲学与诗学长时争论的一部份,这项争论亦是柏拉图辩证的主体。
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So I start this program by declaring as I did before a global variable X. It is global simply because it is not inside any of my functions.
在程序的开始，我声明,一个全局变量X，它是一个全局的,因为它不在任何一个函数里面。
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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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Well, we want to know, after 2041, let's say 2045, is there somebody who's a person, call him Mr. X.
我们想知道，2041年后，假设是2045年吧，会不会存在一个人，我们称他为X先生。
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So, in the language of calculus, x is a function of time and this is a particular function.
所以,从微积分的角度来看,x是一个关于时间的函数,而且是个很特殊的函数
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Somebody who is a math major, tell me how to solve out for the X and the Y.
哪个数学专业的同学,来告诉大家如何解出X和Y的值
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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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And you can think about that if you think about a standing wave, for example, where you can have amplitude at many different values of x, so an amplitude at many different distances, but you also have areas where there is a amplitude.
你们可以想象一下驻波，在不同ｘ处,可以有不同的振幅，在不同的距离有不同的振幅，但在某些地方振幅等于０．
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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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Initially, its location as a function of time is equal to i times x plus j times y.
初始时刻,它的位移作为时间的函数等于,i ? x + j ? y
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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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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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X So here I'm declaring another variable called X, and this is totally legitimate because I already know that if I'm implementing a function like swap or increment, I can absolutely take input.
这里我声明另一个变量，这个完全是合法的因为我已经知道,如果我执行一个像swap，或，increment的函数，我完全可以携带输入。
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And there is a technique known as x-ray diffraction.
而且有种X光衍射的技术。
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It is pulled by a certain amount x, and is released.
将弹簧拉长一段距离 x,并释放
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At every instant, it's got a location given by the vector R; R itself is contained in a pair of numbers, x and y, and they vary with time.
在每一个瞬时,它的位置由位矢 R 给出,R 本身包含了一对坐标值 x 和 y,并且它们都随着时间的变化而变化
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X That's just the special symbol in C that says don't pass X, that is don't pass a copy of X. Rather figure out where x is in memory, where he is in that frame and provide swap the numeric address in RAM of that value so that swap can go do anything it wants at that address.
这在C中是一个特殊的符号，指明不传送，也不是传递X的拷贝，而是指出x在内存中哪个地方,它在那个框架中的哪个地方,提供给swap它的地址值,这样swap就可以使用那个地址中的数据。
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pxa So what happens when we add a 2 p a and we subtract from it a 2 p x b, or the same with a 2 p y a subtracting a 2 p y b, is that we're actually going to cancel out the wave function in the center, so we now have 2 nodal planes.
当我们用,减去2pxb时，或者是2pya减去2pyb时，我们会消去,中间的波函数，所以现在我们有两个节面。
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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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And I've got to worry about, is somebody else using ANS, answer, as a variable, in which case I've got to be really careful. Is somebody else using x as a variable? I've got to deal with a lot of those details.
而且我还要担心有没有别人,使用了ANS，answer作为变量,这样我就必须要非常小心,有没有别人用x当做变量呢？,我需要处理很多类似的细节。
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You're only given the particle has acceleration a, and you are asked to find out what is x?
你只知道质点的加速度为a,你需要求出x是多少
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You could argue, well, x is in some sense inherently a method, but it's not nearly as clean as what I would like.
你可以争论这一点，好，x在某种意义上，页是一个方法,但是它可能并没有。
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This now has, gee, a funny thing, x it says IF x is less than y AND x is less than z, then do something.
代码现在有，啊，一个有趣的东西，代码先是判断x是不是小于y并且,是不是小于z，然后做一些事情。
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What a particle tries to do generally is some crazy thing which doesn't have a name, but it's a function x of t.
一个质点的运动一般非常混乱,因此对应的函数没有名字,但它还是函数x
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Then, in the last book of the Republic, Book X, there is, once again, a descent to the underworld, to the world of Hades.
接着，在《理想国》的最后一部，第，X，部，再度下降到阴间，地狱的世界。
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