点变换

Next part of code performs affine transformation per each point.

下一部分的代码执行每人每个点仿射变换。

But, in the natural and artificial signal, a lot of signal phases don\'tvary linearly with time, for example, we usually use chirp signal in the radar technology,frequency step signal, linear modulation component of the ground echo in the SARtechnology, linear modulation component of the moving target echo, linear modulationcomponent while the airborn radar detecting the moving target, etc.

在自然界和人工信号中，许多信号的相位变化并不是随时间一次方变化，如雷达技术中常用的线性调频信号，频率步进信号，另外，SAR 技术中，地面回波所含有的线性调频分量，ISAR技术中，运动目标的回波所含有的线性调频分量，机载雷达探测运动目标时的线性调频分量，等等；傅里叶变换对此类信号分析所得的结果是信号在不同频率点上的能量分布，即信号在基函数上的投影。

First,the basic formulas solving the artificial earthquake wave compatible with object response spectra are established;the integration equations are translated into the algebraic equations by interpolation function.

首先，从单质点系在地震作用下的反应出发，直接推导了求解与目标反应谱拟合的人造地震动基本公式；随后，利用插值函数将积分方程变换为代数方程组，进而从反应谱的变分求得人造地震动的时域变分。

We obtain that if any 〓 is discrete or elementaryand 〓 satisfies Condition A,then the algebraic limit G of group sequence 〓is discrete or elementary.

首先，我们不再仅仅考虑离散非初等群集〓的代数极限G，而是离散群或初等群群集〓的代数极限G，我们对〓上〓变换群中斜驶元及其不动点进行了细致研究，注意到任意一个斜驶元存在一个仅仅含有斜驶元的领域，从而证明了初等群群集〓的代数极限G仍然是初等群，进而我们得到了一个代数收敛定理：如果任一〓是离散群或者初等群并且〓满足条件A，那么，群列〓的代数极限G一定是离散群或者初等群。

If we had faster process chip, we could modified our algorithm to add more filters, perform Fourier transform, or floating point arithmetic in order to improve our results.

如果我们有更快的处理芯片，我们可以改进我们的算法，以增加更多的过滤器，进行傅立叶变换，或浮点运算，以改善我们的结果。

Then the relation between the parameters of PI controller and the bifurcation point are obtained by using numerical calculation.

应用谐波平衡法推导出带PI补偿电压模式buck变换器的输入电压分岔点关系式。

In the numerical simulation, the Blasius equation of boundary layer based on the Chebyshev interpolation points was solved by using of the Runge-Kutta method with variable step.

在数值模拟中，采用变步长的Runge-Kutta方法，求解基于Chebyshev插值点的边界层Blasius方程，然后对边界条件进行坐标变换，使Chebyshev谱方法适用于边界层稳定性方程的求解。

In the numerical simulation, the Blasius equation of boundary layer based on the Chebyshev interpolation points was solved by using of the Runge utta method with variable step. On the basis of the coordinate transformation of the boundary condition, the Chebyshev spectral method was applied to solve the hydrodynamic stability equation of boundary layer.

在数值模拟中，采用变步长的Runge Kutta方法，求解基于Chebyshev插值点的边界层Blasius方程，然后对边界条件进行坐标变换，使Chebyshev谱方法适用于边界层稳定性方程的求解。

The embeddable points are selected according to their curvatures firstly, and then the binary watermark image is divided into two parts, respectively, for spatial and frequency insertion.

根据曲率选择合适的嵌入点，将二值水印图像化分成两部分，分别嵌入到待嵌入点的空间域和变换域。

The method could be used for all sorts of random variable using equiprobable transform formula. Studied the influence of the integrate points to the response random.

通过随机变量的等概率变换，这一方法可以应用到任意分布形式的随机变量上；进一步，考察不同积分点数目对响应随机量的影响，结果显示，在很少的积分点下，响应均值就能达到较高的精度，随着积分数目的增加，响应方差的精度逐步提高。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。