Now, there's also spherical coordinates.
现在，考虑球坐标。
So now we're going to triple integrals in spherical coordinates.
现在，在球坐标中进行三重积分。
There we want to think a tiny bit about spherical coordinates again.
我们需要再次考虑球坐标。
OK, let's see, who had seen spherical coordinates before just to see?
我看看，谁曾经学过球坐标么？
This method is applied to a manipulator with spherical coordinates.
并将此方法应用到三自由度球坐标机械手上。
But let's do it in spherical coordinates because that's the topic of today.
但我们用球坐标来做，因为这才是今天的主题。
So, in fact, it simplifies quite a bit if you do it in spherical coordinates.
事实上用球坐标，简化了式子。
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。
That will give you a good idea of what kinds of things we've seen in spherical coordinates.
这将会给你一些，关于我们已经在球坐标中学过的东西的好的想法。
And, now we have to learn about spherical coordinates, which you will see are a lot of fun.
今天我们来学习下球坐标，这是个很有意思的东西。
We have rectangular coordinates, we have cylindrical coordinates and we have spherical coordinates.
我们有直角坐标系，有柱坐标系和球坐标系。
So, if you are asked to find the average distance from the origin, spherical coordinates can be interesting.
如果你想求到中心的平均距离，球坐标还是不错的。
And now, we're going to try to find the volume of that spherical cap again but using spherical coordinates instead.
现在来求下被切出的球冠的体积，我们用球坐标来求。
By using the primitive equations of motion in spherical coordinates, free oscillations of the atmosphere are discussed.
利用球坐标中的原始运动方程组，讨论了大气的自由振动问题。
The interaction of two charged conductor spheres is caculated by using two spherical coordinates, and the result is discussed.
本文利用双球面坐标系计算两个带电导体球的相互作用力问题 ，并对结果进行了讨论 。
Now, it is OK to think of them as spherical coordinates, but I would like to encourage you not to think of them as spherical coordinates.
那么现在可以在球坐标上考虑了，但是我希望大家，不要把它们看做球坐标。
The Laplacian in the columnar and spherical coordinates is deduced by using the derivative principle of the multivariable functions.
使用多元复合函数微商法则，导出拉普拉斯算符在柱面坐标系和球面坐标系中表达式。
The helical surface equations of the spherical hob are set up in spherical coordinates. The formulas of the side clearance angle and numerical examples are given.
在球坐标系中，建立了球形滚刀的各个螺旋面方程，推导了侧后角公式，并给出了计算实例。
By the method of linear transformation, the solution forms of vector wave equation in spherical coordinates, l, m and n, are transformed to the many other kinds of forms.
利用线性变换的方法，将球坐标下矢量波动方程解的形式l、M和N变换为其他多种形式。
The solution of the Earth elastic dynamical equations can be also referred to some relations of complex vector spherical harmonic functions to the elastic strain tensor in spherical coordinates.
同时还研究了在球坐标系下弹性应变张量与复数矢量球函数的一些关系，为地球弹性动力学方程的解算提供参考。
The splot command is Cartesian by default but can also support spherical and cylindrical coordinates.
splot命令默认使用的是笛卡儿坐标系，不过也可以支持球面或柱面坐标系。
So the idea of spherical coordinate is you're going to polar coordinates again in the rz plane.
所以说球坐标系,其实就是在rz平面再建立一个极坐标。
The theoretical and numerical formulas for gravity and height variations in spherical polar coordinates are derived.
导出了重力、高程变化及相互关系在球坐标系中的理论和数值计算公式。
The dynamic model for a novel permanent magnet spherical stepper motor based on Cardan Angle rotation in rotor-fixed coordinates frame was set up.
针对一种新型永磁球形步进电机，运用卡尔丹角旋转建立了转子固连坐标系下转子动力学模型。
The paper presents electric field of dielectric sphere and ellipsoid in homogeneous electric field, with spherical and ellipsoidal coordinates.
本文用球坐标和椭球坐标计算了处于均匀外场中的介质球和介质椭球的场，其内部的场都是与外场方向相同的均匀场。
We carry out a transformation to spherical polar coordinates.
然后采用极坐标转换对虹膜图像进行归一化。
We carry out a transformation to spherical polar coordinates.
我们变换成球极坐标。
We carry out a transformation to spherical polar coordinates.
我们变换成球极坐标。
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