片语

double-integral AD双积分AD

double Fourier integral双重傅里叶积分

double-integral iteration method二次积分迭代法

double photoelectric integral method双次光电积分法

double trapezoid integral二重积分

double slope integral amplifier双斜率积分时间扩展电路

double circuit integral二重圈线积分

double e integral二重积分

英汉例句

• no matter which form it is,it relates a line integral to a double integral let「s just try to see if we can reduce it to the one we had yesterday.

  不管哪种形式，都把线积分和二重积分联系在一起,来看看,能不能通过化简得到昨天的公式。

• d well, we」ll have a double integral over u of, so, the inner integral becomes r at the point on the top.

  dv的三重积分变为。。。，ok，，so，triple，integral，over，d，of，rz，dv，becomes，我们将得到一个u上的二重积分，内积分变成r。。。

• let「s us replace a line integral along a closed curve by a double integral well, here it is the same.

  用一个二重积分，来代替沿闭曲线的线积分,原理是一样的。

• so, that means that the double integral for flux through the top of r vector field dot nds becomes double integral of the top of r dxdy.

  这就是说通量的二重积分,顶部r?nds的二重积分,变成了rdxdy的二重积分。

• you know how to compute a double integral of a function.

  要懂得如何计算一个函数的二重积分。

• xda so, i said we had to compute the double integral of x da over this region here, which is a disk of radius one, centered at, this point is .

  我们需要计算二重积分,在这个区域上，区域是一个半径为1的圆盘，中心在点。

• i will just get double integral over r of x da, which looks certainly a lot more pleasant.

  我只需要计算xda在r上的二重积分，看上去确实简单许多。

• the double integral side does not even have any kind of renaming to do.

  没有必要对二重积分重新命名了。

• so, for example, the area of region is the double integral of just da, 1da or if it helps you, one da if you want.

  举个例子，区域r的面积是da的二重积分，便于理解，在这里写成。

• one way to think about it, if you」re really still attached to the idea of double integral as a volume what this measures is the volume below the graph of a function one.

  一种考虑这个问题的办法是，如果你还觉得，二重积分是求体积的话,那这个度量的，就是函数1的图形下的体积。

• so, i will -- -- compute the double integral over the region inside of curl f da.

  我会计算,在这个区域内旋度fda的二重积分。

• it will just be the double integral over a surface of f dot n ds.

  它就是曲面上对fds的二重积分。

• one example that we did,in particular, was to compute the double integral of a quarter of a unit disk.

  我们已经做过的一个例子是，计算四分之一单位圆上的二重积分。

• so, the divergence of this field is two. now, green「s theorem tells us that the flux out of this region is going to be the double integral of 2 da. what is r now?

  也就是这个场的散度是2，格林公式告诉我们,区域的通量就是,2da的二重积分了，现在的区域r是什么呢？

• i mean, of course, if you didn」t see that, then you can also compute that double integral directly.

  如果你没看出来，也可以直接计算二重积分。

• and, when you「ve done that, it becomes just a double integral in the usual sense.

  这么做的话，它就变成了通常的二重积分。

• so, switching the area, moving the area to the other side, i」ll get double integral of xda is the area of origin times the x coordinate of the center of mass.

  那么，改变一下区域，把这块移到另一侧，我们得到对xda的双重积分,是原点那的圆面积乘质心的x的坐标。

• it is still,for the the double integral of r squared da.

  转动惯量仍然是r^2da的二重积分。

• so, one of them says the line integral for the work done by a vector field along a closed curve counterclockwise is equal to the double integral of a curl of a field over the enclosed region.

  其中一种说明了，在向量场上,沿逆时针方向，向量做的功等于,平面区域上旋度f的二重积分。

• so, now, if i compare my double integral and, sorry, my triple integral and my flux integral, i get that they are, indeed, the same.

  比较这个二重积分的话，抱歉。。。，比较这个三重积分和通量积分，就可以看到，它们是一样的。

• then, yes, we can apply green「s theorem and it will tell us that it」s equal to the double integral in here of curl f da, 0 which will be zero because this is zero.

  那就可以使用格林公式了，并且我们知道,它就等于的二重积分，结果为0，因为旋度f等于。

• xy so, in fact, what we'll be computing is a double integral over some mysterious region of v du dv.

  ,从而我们要算的就是,在一个未知的区域内关于vdudv的二重积分。

• use geometry or you need to set up for double integral of a surface.

  总之，就是用几何方法或是在曲面上建立二重积分。