奇异函数

The edge internal branch crack problems for half-plane in antiplane elasticity arc solved with complex potentials and singular integral equation approach.

利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。

Convert relationship of prototype robot joint angle and equivalent model joint angle is presented based on the method of kinematics inverse solution. The Jacobian algorithm of redundant robot for achieving effective joint excursion is studied, which is fit for digital calculating. The grads projection algorithm of redundant robot multi optimizing capability function's proportion factor is deduced. The issues of apery arm robot singularity and joint self-movement are researched. The simulation experiment result of apery arm joint self-movement and line movement is presented.

因为七自由度拟人手臂机器人的建模比较困难，采用了在等效模型下求解其运动学逆解的方法，给出了原机器人机构关节角与等效模型关节角之间的转换关系；提出了一种适于数值计算的有效的求解有关节偏置的冗余度机器人Jacobian的算法，并在此基础上推导了冗余度机器人多优化性能指标函数的均衡比例因子梯度投影算法；研究了拟人手臂机器人的奇异问题和关节自运动问题；给出了拟人手臂进行关节自运动和进行直线轨迹跟踪的仿真实验结果。

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

Applied Green's function, the differential equations will be transformed into the equivalent of integral equations, sufficient conditions for existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous boundary value problems with p-Lapacian operator are obtained.

文中，利用格林函数，将微分方程转化成等价解的积分方程，给出了该奇异非线性四阶p-Lapacian微分方程边值问题的正解的存在及惟一性的一个充要条件。

The property of bounded space Green's function in the neighbor domain of the singular point is studied.

研究了有界空间格林函数在奇异点邻域内的性质。

Furthermore, it avoids solving nonlinear partial differential equation numerically comparing with the energy minimization denoising model of bounded variation, and so it never leads to local minimum in general.

与基于压缩比和奇异值分解的降噪方法相比，由于该算法避免了图像压缩比函数及其拐点的计算，因此具有快速去噪和简单可行的优点。

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

By matching the traction along the cracks, Cauchy singular integral equations for the branch cracks in the circular region were derived.

通过裂纹面上的应力边界条件，建立一组以位错密度为未知函数的Cauchy型奇异积分方程。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

By using the Muskhelishvili complex methods, the issue of interaction between bimaterial incline crack s was reduced to solve the Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数方法，研究两相材料中两根倾斜裂纹应力强度因子的相互影响，将问题归结为求解一组 Cauchy型奇异积分方程，对倾斜裂纹端点的应力强度因子作了数值求解。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。