两种办法都能得到相同的极坐标方程。
这也就说明了，可以用极坐标做二重积分。
The claim is we are able, to do double integrals in polar coordinates.
我们来回顾一下极坐标。
把一个函数，在直角坐标和极坐标中转换。
You have a function that you want to switch between rectangular and polar coordinates.
我将用极坐标。
我们已经把协调方程写成了极坐标的形式。
We have written the compatibility equation in a form that corresponds with the polar geometry.
使用极坐标法放样可以避免偏角法的局限性。
And lofting with polar coordinates method can break through localization of deflection Angle method.
本文给出了切线极坐标下的齿轮啮合方程式。
The mesh equations of gears are given by tangent polar coordinate system.
所以说球坐标系,其实就是在rz平面再建立一个极坐标。
So the idea of spherical coordinate is you're going to polar coordinates again in the rz plane.
当然，我们也知道，怎样用极坐标来计算这些积分。
And, of course, we know also how to set up these integrals in polar coordinates.
我已经有了一些笛卡尔坐标点了，我可以创建一个极坐标点。
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
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.
比如说极坐标，有一个函数,是根据极坐标θ定义的。
Say, polar coordinates. Let's say that I have a function but is defined in terms of the polar coordinate variables on theta.
当然，如果区域是这样的，就没有必要用极坐标来做了。
Now, of course, is the region is really looking like this, then you're not going to do it in polar coordinates.
通常我们不这么做，一般情况下我们都是，从xy转换到极坐标的。
Usually, we don't do that. Usually, we actually start with xy and switch to polar.
根据这方法能够用可变长度的资料对地极坐标进行外推。
According to this process polar coordinates can be extrapolated by means of data in changeable length.
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。
That's in line with the idea that we are just doing again, polar coordinates in the rz directions.
利用SH散射的对称性和多极坐标方法构造了问题的位移解。
The displacement solution is constructed by applying the symmetry of scattering of SH-wave and the method of multi-polar coordinate system.
这方法既不能正确地求出地方项，也不能提高极坐标的精度。
This method could neither determine the local terms nor improve the accuracy of the pole coordinate.
也就是，这里是它的极坐标表示法，一些有意义的随机数字集。
Here's the polar representation of it, some random set of Numbers which makes sense.
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。
There are many advantages to adopt polar coordinates system interpolation in swing structural machines.
本文介绍了在公路工程建设中如何应用极坐标进行桥梁测量的方法。
This paper introduces the method that how to use polar coordinates to measure bridge in road engineering construction.
通过对极坐标法误差的计算论证了放样点误差主要是由测角误差引起。
Through polar coordinate method error calculus demonstrated that the setting-out point error is mainly caused by Angle measurement error.
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。
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.
介绍经纬仪极坐标放样法在公路施工应用中的操作方法，计算原理及步骤等。
It deals with the operation, calculation principle and steps in the application of transit polar setting-out in highway constructions.
通过将对数极坐标和傅立叶变换结合，完成旋转不变的傅立叶纹理特征提取。
In this paper, we incorporate Fourier transform with Log-Polar transform to achieve rotation invariant texture analysis.
缓和曲线是一种常见的曲线形式。使用极坐标法放样可以避免偏角法的局限性。
The transition curve is a familiar curve form. And lofting with polar coordinates method can break through localization of deflection Angle method.
采用复变函数法和多极坐标方法，研究了弯曲波对含有多圆孔薄板的散射问题。
Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates.
然后分析了时域极坐标算法存在残余视频相位误差的原因及其对成像结果的影响。
Then, the origin and the effect on imaging of time domain polar format algorithm residual video phase error are analyzed.
然后分析了时域极坐标算法存在残余视频相位误差的原因及其对成像结果的影响。
Then, the origin and the effect on imaging of time domain polar format algorithm residual video phase error are analyzed.
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