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Some others If I might have a right to X, do you have a duty to fulfill that for me?
其他的像如果我有某项权利，你有没有义务帮我实现？
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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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Again, same kind of reasoning says, given some value x, I happened to pick a small one here, what's an easy way to do this? Well, let's just start at one. That's my variable I'm going to change and check.
好，尤其是，让我们到这里来,让我给大家看看第二个例子,让我把这个注释掉，这是我要解决的，第二个问题，假设我想找到一些整数的,所有除数，我想要找出来这个数的所有的除数。
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Not to harp on the mathematical features of this, but cubing, AX*X*X you know, if you're starting to do AX star, X star, X, every time you want to cube some value in a program, it just feels like this is going to get a little messy looking, if nothing else.
不要总是说这个的数学特性，但是体积，你们懂的，如果你开始做，在一个程序中，每次你想算几个数值的体积，感觉它就变得,有一点凌乱的，如果没有其他的。
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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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It's like I've got ESP or I'm some character out of the X-Men, Is that what it's called? The X-Men right?
好像我有超能力或者我是X-Men,是叫X-Men吧
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And the mathematics of that equation involved a double derivative in time of x 0 plus some constant times x equals zero with some constraints on it.
那个数学方程式,包括了x对时间的二阶导数,加上常数乘以x等于,还有一些限制条件。
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The basic definition-- the expected value of some random variable x--E--I guess I should have said that a random variable is a quantity that takes on value.
最基本的定义,某一个随机变量X的期望值E,我应该提到过,随机变量是一个可以取值的数
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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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Why should we think there's some--Even though, normally, the barrier can be crossed and Xs can study the non-X, why should that barrier suddenly become un-crossable in the particular instance when we're dealing with Platonic forms?
为什么我们应该认为即使通常来说,那个界限是可以跨越的,即X可以研究非X,那为什么这个界限突然,在讨论柏拉图型相的时候,就变得不可逾越了呢
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So in some sets, as long as x has the value I want, it ought to do the right thing.
所以在某些结构中只要x的,只是我想要的我就能得到正确的结果。
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Just to remind you what it does, we bound x to some value, we set up an initial variable called ANS or answer, answer and then we run through a little loop.
记住你要做些什么，我们给x赋一个值,我们建立一个初始变量，命名为ANS或者。
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And just as with variables, you should use some common sense, some style here, and the function's name should X Y communicate what it does, calling it X or Y or Z is generally not all that helpful.
就像变量，你使用一些常识，一些类型，和函数名需要,传达它所做的事情，把它叫做,或者Z通常是没有什么用处的。
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It can be x plus some change in x plus j times y plus a change in y.
可以写成 x 加上 x 方向的变化量,再加上 y 加上 y 方向的变化量
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But here, if I decide I'm going to store things not in x and y, but with some other set of names, for example, I've gotta go back into these pieces of code that use the points, and change them. So I've lost modularity.
除了要改下借口,但是这里，如果我决定，我不把值放在x和y中，而是和其他一些变量名进行绑定,例如这样的话,我就得回到使用这个点的代码，那儿去做更改了。
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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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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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The first statement right here, that's just an assignment statement, I'm giving some value to x.
第一个声明在这里，这仅仅是一个赋值声明，我赋值给x一个值。
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Our picture now is going to be some particle that's traveling in the x-y plane.
我们现在的情景是在 x-y 平面内,运动的质点
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I'm binding x, y, and iters left to some values.
我将x，y和iters，left绑定到一些值上。
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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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