Many people hear it and think it is Mary,M-A-R-Y, instead of M-E-R-R-Y.
VOA: special.2009.12.21
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。
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。
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。
When does it hit the ground" is "When is y=0"?
何时落地"也就是"何时位移为零"
And similarly, actually, if we're looking at our polar coordinates here, what we see is it's any place where theta is equal to is what's going to put up on the x-y plane.
类似的,如果我们,看这里的极坐标系,我们能看到只要在theta等于,多少的地方就是xy平面。
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。
This point here then is the present value of your income; it's Y today + / .
直线与x轴的交点表示收入的现值,它等于
It's more likely than Y the probability that they're going to choose right is more than Y, then the highest line of these three is this one, which corresponds to my choosing Middle.
即比Y大,也就说对手选右的概率大于Y,那么这三条线中最高的是这条线,这条线表示我选中的收益
Three ounces of meat might have x calories or it might have y calories depending on what the meat is, how much salad dressing gets thrown on a salad, how much of this gets or that gets put in a food will vary its calorie content a lot.
三盎司的肉也许有x卡路里,也许有y卡路里,取决于肉的种类,色拉中放了多少色拉酱,在食物中有多少这个或那个,也会导致卡路里含量的差异
XYZ I might as well do it as x, y, z because we are talking about something that is going in three space.
我最好设成,因为我们在讨论,三维的事物。
So this is giving me now that template, better way of saying it, all right, a template now, for a point is x, y, radius, angle.
其他的方法来进行计算,但是这就是典型的我,要放置它们的地方,因此这就给了我一个模板。
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。
It is the postal address of x and the postal address of y.
它是x的通讯地址,和y的通讯地址。
Once you do that, I think it's fairly clear that it has got a y component that's given by cosine the x component is negative.
用了这个结论,我想很明显,y 分量由 cos φ 给出,它的 x 分量是负的
Now, we are done because now we can ask how high does it go, and you go back to your y of 1 is 15+10-5, which is what?
现在问题解决了,因为我们可以算出,最高点的高度,你回到这个式子,求出y=15+10-5,是多少
I'm going to say, gee, p2 is the x value the same in both of them, and if it is, and the y value's the same, then this is the same point, I'm going to return true.
这样的数据对象,我会把它们命名为p1和,我会去查看,看看两个对象中,的x值是不是相同,如果相同的话,就去查看y值是否相同。
So again, if you're at X and the winner is at Y, it hurts you minus the distance between X and Y, in terms of your unhappiness, about having a winner who's far away from you, winning.
再说一遍,如果你在X且获胜者在Y,它对你的伤害等于X和Y之间的距离,即,当选人和你之间的距离,这就是你在选举之后郁闷的程度
It becomes a 13 and that is consistent with the code and it also doesn't crash because now y has been assigned to the correct value.
它变成了一个13,这个和代码是一致的,程序也不会崩溃,因为现在y被赋了正确的值。
The value 2 is still in what we called Y. It's now also in what we called X, but notice inside of main and here's the power.
数值2还是在y中,现在,它也在x中,但注意在main中,这是那个能力。
1 Similarly, if m is equal to either plus 1 or minus 1, py we would in turn call it the p y orbital, or the p x orbital.
类似的,如果m等于+1或,我们可以叫它,或者px轨道。
How would we go about, I mean I don't want to do it because I'll probably get it wrong, but if I wanted to solve out for this X and the Y, since this is a QR class, let's just talk about it a second.
我们怎么解呢,我的意思是我现在不会去计算,因为我可能会算错,但是如果你真的很想解出X和Y的值,介于这是一节需要快速反应的课,那我们花些时间来探讨一下吧
So we're talking about an experiment when you generate-- Each experiment generates both an x and a y observation and we know when x is high, y also tends to be high, or whether it's the other way around.
这里说的是由试验产生的,每一次试验可以获得一组x与y的观察值,当x值大的时候,y值可能也大,或者相反
All right, it's so if I looked at it, sorry, IF x is less than y, THEN check to see IF x is less than z, and if that's true, print out x is the smallest.
好,代码是这样的,对不起,是不是x比y小,然后去看看是不是x比z小,如果都为真的话,显示x为最小值。
X Okay. It worked.
的值是1,Y是2,X,is,1,,Y,is,2。,好的,它是起作用的。
So, that is a tricky problem to begin with because if you take this formula here, it tells you y if you know t, but no, we're not saying that.
以这个问题刚开始的时候有点难度,因为如果你要用这个公式,求y的时候就一定要知道t,但是,我们不知道
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