It is not like in a triple integral.
这与三重积分不同。
That's equal to the triple integral over the region inside.
这等价于在这个区域内部的三重积分。
This is just your standard triple integral over a region in space.
这就是空间区域中的标准三重积分。
It's just the same way that you would compute any other triple integral.
这和计算其他三重积分的方法是相同的。
Well, we have to figure out how to set up our triple integral in spherical coordinates.
先看看怎么，在球坐标中建立三重积分。
Once you have computed what this guy is, it's really just a triple integral of the function.
一旦需要计算这个积分，只需要计算这个函数的三重积分。
For example, the moment of inertia about the z-axis is dV the triple integral of x squared plus y squared density dV.
例如，关于z轴的转动惯量,是∫∫∫δ
This paper points out the variable substitution method of triple integral of elliptical volume and examples its applications.
指出了椭球形区域上三重积分的一科变量替换方法，并说明了其应用。
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。
And mass will be double or triple integral, depending on how many dimensions you have, dV of whatever density function you have, dA or dV.
计算质量可看成二重或三重积分，这取决于空间维数，取决于密度函数，dA还是。
Don't get things mixed up, just the z component of the force becomes Gm triple integral of delta cos phi sine phi d rho d phi d theta.
不要搞混，只是力的z分量罢了,它是Gm∫∫∫δcosφsinφdρdφdθ
This paper indicates and proves the method of making use of symmetry to predigest calculation of cylindrical coordinates triple integral.
运用对称性简化计算柱面坐标三重积分，并给予证明。
S if we have a closed surface with a normal vector pointing outwards, and we want to find a flux integral for it, well, we can replace that with a triple integral.
的法向量似乎是指向外部。，And, the,normal, vector, to,s, seems, to, be, pointing, out wards, everywhere。，如果我们有一个法向量指向外部的封闭曲面，并且我们要求出它的一个通量积分，那么我们可以用一个三重积分来代替这个通量积分。
So, that should be, sorry, that's the same thing as the derivative with respect to t of the total amount of smoke in the region, which is given by the triple integral of u.
那么，那将是。。。，抱歉，这和区域中,烟雾总量关于t的导数一样，由u的三重积分给出。
I'm going to prove that the flux of a vector field that has only a z component is actually equal to the triple integral of, RzdV well, the divergence of this is just R sub z dV.
我将要证明，一个只有z分量的向量场的通量,等于一个三重积分，其中被积表达式为。
This essay deduces a way of calculating triple integral by the use of symmetry, by defining the symmetry of 3-degree area, and applying it to the triple integral computation.
将空间区域的对称性应用于三重积分的计算之中，归纳出了利用对称性计算三重积分的方法。
In this paper, some relationships between improper double integral and improper iterated are discussed, and the corresponding results are generalized into the improper triple integrals.
本文通过讨论广义重积分与广义逐次积分之间的关系，得出一些结论，并将相应结果推广到广义三重积分与广义三次积分中。
Triple integral expression of the radiation impedance of square piston is deduced and the numerical results of the radiation impedance are calculated with the method of Gaussian numerical integral.
利用高斯数值积分方法，推导了方形活塞辐射阻抗的三重积分表达式，计算了方形活塞声源的辐射阻抗。
Taking the Hangzhou Bay Sea-Crossing Bridge offshore platform as an example, the integral analysis of a kind of multi-storey steel building with triple-layer space trusses is introduced.
杭州湾跨海大桥海中平台结构由浅海高桩平台、上部多层框架以及屋顶异形三层网架组成，结构形式复杂，整体分析难度大。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
The control stage of improved 300MW steam turbine used bowed static blade cascades with convergent tip endwall and integral shroud triple pin rotating blades.
优化了300MW汽轮机的调节级，采用了子午面端壁收缩的弯曲叶栅，动叶为自带围带三销钉三联叶片，再用铆接围带形成整圈联结叶片。
The control stage of improved 300MW steam turbine used bowed static blade cascades with convergent tip endwall and integral shroud triple pin rotating blades.
优化了300MW汽轮机的调节级，采用了子午面端壁收缩的弯曲叶栅，动叶为自带围带三销钉三联叶片，再用铆接围带形成整圈联结叶片。
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