Anyway, that is double integrals in polar coordinates.
这是极坐标系下的二重积分。
This equation will be solved in polar coordinates.
这个方程将在极坐标来解决。
OK, the right way to do this will be to integrate it in polar coordinates.
这道题最合适的方法，应该在极坐标系里面计算。
The claim is we are able, to do double integrals in polar coordinates.
这也就说明了，可以用极坐标做二重积分。
And, of course, we know also how to set up these integrals in polar coordinates.
当然，我们也知道，怎样用极坐标来计算这些积分。
Yes? In case you want the bounds for this region in polar coordinates, indeed it would be double integral.
请说，你想知道极坐标系下的积分边界，这是一个二重积分。
So, the bad news is we have to be able to do it not only in xy coordinates, but also in polar coordinates.
接下来有个坏消息就是，不仅要会在xy坐标系里做，还要会在极坐标系里做。
Now, of course, is the region is really looking like this, then you're not going to do it in polar coordinates.
当然，如果区域是这样的，就没有必要用极坐标来做了。
The equations provides the base of research for nonlinear thermoelastic coupled vibration in polar coordinates.
所得结果提供了在极坐标下分析非线性热弹耦合振动问题的重要基础。
Based on adaptive Kalman filter in polar coordinates, the algorithm was implemented with NN method and PDAF to fuse sensors in clutter.
该方法以球坐标系中三通道解耦自适应卡尔曼滤波为基础，结合最近邻（NN）方法或概率数据关联滤波（PDAF）方法实现杂波中的机动目标跟踪。
In cartesian coordinates, segments of straight line are used to fit a given curve and in polar coordinates segments of Archimedes helix are used.
提出了在直角坐标系中用多段直线拟合曲线的方法，在极坐标系中用多段阿基米德螺线拟合曲线的方法。
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.
在弹性力学问题的极坐标解答中，经常会遇到一类可转化为欧拉方程的常微分方程。
In many practical applications, the position of a target is usually found in polar coordinates or sphere coordinates, not in Cartesian coordinates.
在许多实际情况中，目标测量值通常在极坐标或球坐标中得到，而不是在笛卡尔坐标中得到。
Using the Snell's law in polar coordinates, the ionospheric refraction effects on the declination and right ascension determination is discussed in this paper.
本文利用极坐标下斯涅尔定律，系统地讨论了电离层折射对赤经赤纬的修正问题，并据此给出了射线描迹法。
The computation of natural convection in the annulus between horizontal concentric cylinders using spectral element method in polar coordinates is presented in this paper.
提出了将谱元方法应用到极坐标系下，利用极坐标系下的谱元方法求解环形空间内自然对流问题。
But, if it's like a circle or a half circle, or things like that, then even if a problem doesn't tell you to do it in polar coordinates you might want to seriously consider it.
但是如果它是一个圆或者半圆，或者是类似的，即使题目没有提示你在极坐标里做，你也应该认真考虑一下。
So, instead of setting up the integral with bounds and integrating dx dy or dy dx or in polar coordinates, I'm just going to say, well, let's remember the definition of a center of mass.
那么我们将不会建立带上下限的积分，和积分dx,dy, dy, dx或者在极坐标做线积分，需要说，让我们回忆一下质心的定义。
Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.
首先，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。
In the B-mode sector scan ultrasonic imaging system, the raw image is in polar coordinates, therefore, it is main tasks of image pre-processing to achieve image coordinate transform and interpolation.
在B型超声机械扇形扫描成像当中，原始图像信号是以极坐标的形式输出的，对图像进行实时坐标变换和漏点插补是图像预处理所要解决的主要问题。
So, in a way, you can think of these as a space analog of polar coordinates because you just use distance to the origin, and then you have to use angles to determine in which direction you're going.
也可以把这种坐标，看成是空间中的极坐标，它其实使用了，距离原点的距离，然后用角度这种标尺，来确定了方向。
That's in line with the idea that we are just doing again, polar coordinates in the rz directions.
球坐标中的平面也差不多是这样了，只要把rz看做极坐标就行了。
But somehow maybe if you suspect that polar coordinates will be involved somehow in the answer then maybe it makes sense to choose different paths.
但是你可能推测，如果结果中包含极坐标，那么选择不同的路径都行得通。
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。
With the plot command, gnuplot can operate in rectangular or polar coordinates.
使用plot命令，gnuplot可以在直角二维坐标系中进行操作。
Or, the other way around, I have a function of x and y and I want to express it in terms of the polar coordinates r and theta.
反过来，有一个关于x和y的函数,也可以表示成极坐标r和θ
Say, polar coordinates. Let's say that I have a function but is defined in terms of the polar coordinate variables on theta.
比如说极坐标，有一个函数,是根据极坐标θ定义的。
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。
According to this process polar coordinates can be extrapolated by means of data in changeable length.
根据这方法能够用可变长度的资料对地极坐标进行外推。
There are many advantages to adopt polar coordinates system interpolation in swing structural machines.
在旋臂式结构的机械加工装置中采用极坐标图形插补具有很多优点。
Adaptive Kalman filter algorithm study (1) Based on the study of the passive target tracking in modified polar coordinates, the nonlinear dynamic model is devised.
自适应滤波算法(1)研究了极坐标系下的水下目标被动跟踪问题，建立了被动跟踪的动力学模型。
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