dy x dt That tells us dx is x prime of t dt.
是y’dt，dy，becomes，y，prime，of，t，dt。,是x，So，，we，know，x，is，x，of，t。,它告诉我们dx是x
所以Tds就是。
So, that means du dv is worth five times dx dy.
所以，这也意味着dudv比dxdy大五倍。
OK, so I'm computing the integral of y dx x dy.
我来计算ydx+xdy的积分。
So we found an expression for dz in terms of dx and dy.
我们得到了dz关于dx和dy的表达式。
Let the winds and waters be mingled with our melo - dy.
让风和水与我们的快乐混合在一起。
With mixed feelings he said good - bye to Dy . Archibald.
他怀着矛盾的心情告别了阿奇博尔德大夫。
OK, and so the coefficients of dx and dy are the partials.
那么dx和dy前面的系数就是偏导数。
I eat breakfast every dy . Do you eat breakfast every day?
我每天都吃早餐，你每天吃早餐吗？
dxdy So that's just x. So, that means that du dv is x dx dy.
这个就是x，这就意味着dudv是x倍的。
An analysis method of DY Raster distortion is described in detail.
文中叙述了偏转线圈光栅失真的分析方法。
On the math it is a line integral of something dx plus something dy.
从数学意义上来说，这是dx部分加上dy部分的线积分。
So, we should get to something that will be the same integral dx dy.
也就是在某个边界里算dxdy的积分。
dxdy Last time I told you if we have dx dy we could switch it to r dr d theta.
上一次课提到，如果给出,我们可以把它转换为rdrdθ
Or, you can move dy to that side and express dy in terms of dx and dz, and so on.
或者把dy移到另一边，用dx和dz来表示dy，诸如此类。
I am really impressed with dy Jironal and the true tension he brings to the story.
我真的很慨叹于迪·吉罗纳以及他给故事带来的真正张力。
If you end up with a dx, dy, dz in the surface integral, something is seriously wrong.
如果在这个曲面积分中是以dx,dy,dz结尾的，则表明出现了很大的问题。
And, once you have a formula for ndS, that will relate ndS to maybe dx dy, or something else.
一旦有一个ndS的公式，那将会把ndS和dx,dy联系起来，或者其他的一些东西。
the general notation for vector dr-- y equals dx, x roof, plus dy, y roof, z plus dz, z roof.
总的向量dr的符号-,=dr向量x+dy向量，+dz向量。
And, for that, we'll have to figure out a way to slice this region nicely. We could do it dx dy.
为了计算二重积分，我们必须想出一个办法，来适当地划分这个区域，我们可以按dx,dy来划分。
Remember the general method is that we first look at the inner integral, here integral of f dy.
一般是,先考虑内积分，这里即f对dy的积分。
Dysprosium (Dy) was discovered in 1886 but it wasn't until 1950 that scientists were able to isolate it.
镝（Dy）发现于1886年可是直到1950年科学家才将它分离出来。
Once you have found the ratio between du dv and dx dy, then it works one way or it works the other way.
你一旦找到了dudv和dxdy之间的比率，它在这个情况下行得通，在相反的情况下行得通。
People flocked to see for themselves the marvel of green pad dy flourishing on the once barren desert land.
在从前贫瘠荒芜的土地上，翠绿的稻秧茁壮成长。人们成群结队前来亲眼观看这个奇迹。
While the function that you are integrating goes before the dx dy and not into the bounds or anything like that.
而积分函数就是dxdy前的这个函数，它与积分边界无关。
So, we know that we want to integrate just the area element, let's say, dx dy over the origin inside the ellipse.
我们知道现在要积分面积元素，那就对dxdy积分。
So, we know that we want to integrate just the area element, let's say, dx dy over the origin inside the ellipse.
我们知道现在要积分面积元素，那就对dxdy积分。
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