角函数

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

As to the remaining parameters, two methods are developed: first, accepting that the projection function complies with a circular function within at least a part of a given field of view, constrained by the obtained object-to-image radial mapping and a constant focal length, the best-fitting point of the optical origin is tested along the optical axis; secondly, referring to the postulation of the exclusively bilateral mapping between an imaged point and its scenic sight ray, a measuring technique is developed to survey the world coordinates which will fabricate a projecting path to the imaged points located on the imageable region of the image plane in order to directly model the projection geometries involved.

而针对其余参数本文提出两种解题方法：其一是根据『在「部分视野角范围」内，鱼眼相机的投射模型符合一典型的「圆形函数」』以标靶实体与其影像尺寸为限制条件，测试光学轴上的最佳视觉参考点、鉴定最适当的投射模型、焦距、及有效的视野角度范围。其二是根据『一视野线排他性地与对应「呈影点」一一映射』参考一呈影点来搜寻空间中对应视野线的绝对座标后，据以演绎相机内部影像形成的模型。

For example, if the screen resolution is 640*480, the right-lower corner of the screen is x==639 and y==479. If you want to convert the screen coordinate to window coordinate, use ScreenToClient function.

例如，如果屏幕分辨率是640*480，屏幕右下角的坐标是 x=639 y=479，如果你想屏幕坐标为窗口坐标，用 ScreenToClient 函数。

By defining a discriminability function and utilizing some images with synthetic defects, a parameter selection method is proposed to adapt to various fabric types when the Gabor filter bank is applied in defect segmentation. It is argued that only the real part of Gabor filter works during segmentation; the radial orientation can be limited to horizontal and vertical direction; the radial frequency and the length of the FIR filter should depend on the basic frequency of the fabric texture.

本文通过定义分辨力函数，以合成疵点图像为研究对象，提出了在实时应用中对各种不同的纹理图像能快速确定Gabor滤波器组参数的方法：疵点分割中只需用到实Gabor滤波器；方位角只需取水平和垂直方向，径向中心频率和FIR滤波器长度的选取依赖于布面纹理的固有频率。

The use of elementary geometry method can give conform al demonstration of lineal function in infinite eigenvector.

用初等几何方法给出线性函数在无穷远点的保角性证明。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次，基于Biot波动理论，在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程：通过引入位移函数，在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程，然后根据方位角的Fourier展开和径向Hankel变换，求解波动方程，得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解，并用一般解给出了饱和土总应力分量的表达式；再以基本解为基础，系统地研究了横观各向同性饱和半空间体的Lamb问题，考虑表面排水或不排水两种情况后，首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

Theoretical analysis proves that,when the pixel number,pixel size and reconstructed wavelength of the hologram are certain,computer simulated algorithms of Fresnel diffraction integral fall into convolution algorithm,angular spectrum algorithm and direct Fourier trans...

通过对相位函数局域空间频率的分析，给出了判定算法适用范围的特征再现距离，并分析得出，再现距离大于特征再现距离时，适合用卷积法；小于特征再现距离时，适合采用角谱法；等于特征再现距离时三种方法都适用。

First, a fundamental inequality about covering area character of the algebroid functions in angular domains was given, which is similar to the Nevanlinna secondary fundamental theorem.

首先给出了代数体函数在角域内覆盖面积特征的一个基本不等式，它类似于Nevanlinna第二基本定理。

Based on the second-order moment of the power density, the far-field divergence angle of nonparaxial rotationally symmetric Laguerre-Gaussian beams is derived and expressed in a sum of the series of the Gamma function.

基于功率密度的二阶矩方法，推导出了非傍轴旋转对称拉盖尔－高斯光束远场发散角的解析公式，并表示为伽玛函数的幂级数求和形式。

Some properties of inversions are proved, It indicates that the inversion is conformal, the image of line of curvature is still the line of curvature of the inversion S of the hypersurface S, the principal curvature, the total curvature, and mean curvature of S are the functions...

在n-1维超曲面的反图变换中，示明反图变换为保角表示法，曲率线系的反影仍为反超曲面的曲率线系，反超曲面的主曲率，全曲率与平均曲率为原超曲面的主曲率的函数等。 3。最后导出公式(1)在四维空间与通常空间之特殊形式

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷