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The classical theorems of analytic function of one complex variable such as Morera theorem and Liouville theorem were generalized to the regular function, similarly to biregular function.

Clifford分析中，正则函数是单复分析中全纯函数在高维空间的推广，全纯函数的经典函数理论如Morera定理，刘维尔定理等都可推广到正则函数，同样也可推广到双正则函数。

We take them as examples for listing the microcanonical distribution,the canonical distribution and the grand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

We take them as examples for listing the micro canonical distribution ,the canonical distribution and thegrand canonical distribution for illustrating the idea.

本文根据刘维方程讨论了经典系统和量子系统处于平衡态时分布函数和统计算符应当具有的普遍函数形式，并以常用的微正则分布、正则分布和巨正则分布予以印证。

Postulates of classical statistical mechanics, micro canonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas.

经典统计力学的假定、微正则、正则和巨正则分布；统计力学在晶格振动中的应用、理想气体、光子气体。

This paper gives several non-linear difference equations based on the orthogonality,regularity and standardity of the orthogonal wavelet with compact support.

从紧支撑正交小波滤波器的正交性、规范性及正则性条件出发，获得了求解滤波器系数的非线性差分方程组，并采用最优化方法求解。

The second lens group includes a 2nd-group 1st positive lens, a 2nd-group 1st compound lens formed by joining a 2nd-group 2nd positive lens having a convex surface on the image plane side and a 2nd-group 1st negative lens having a concave surface on the screen side, and a 2nd-group 3rd positive lens arranged in that order from the screen side toward the image plane side.

第二透镜组包括一个第2组第一正透镜，一个由在像平面侧具有凸面的第2组第二正透镜和一个在屏幕侧具有凹面的第2组第一负透镜结合的第2组第一组合透镜，和一个第2组第三正透镜，它们以从屏幕侧到像平面侧的顺序布置。

The several shapes of diamond grains have been observed in SEM: truncated cube, octahedron, truncated cubo-octahedron, twinned cubo-octahedron, twinned regular decahedron and twinned regular icosahedron. Most of diamond grains are octahedron.

用扫描电子显微镜观察到多种外形的金刚石颗粒：截顶立方体、未截顶正八面体、截顶立方八面体、孪晶立方八面体、正十面体和正二十面体的金刚石颗粒。

Based on hexahedra vector finite element in ANSYS,a new orthogonal-reinforced hexahedra vector element is created by modifying vector basis functions.Due to orthogonality of sampling nodes and orthogonality of integral simultaneously,the new vector element can strengthen diagonal elements' predominance and quicken speed of solving system question group.

在ANSYS采用的六面体矢量单元的基础上，对矢量基函数作了一些增强正交性的修改，使其同时具备采样点正交性和积分正交性，得到了一种新的正交增强六面体矢量单元；这种新单元能增强系统矩阵的对角占优特性，加快系统方程组的求解速度。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

To solve the ill-posed problem of the super-resolution image regularization reconstruction, an energy function based on p harmonic mapping regularization and super-resolution image observed model was drawn.

针对超分辨率图像重建过程中的正则化约束问题，本文提出采用p调和映射进行正则化重建，根据超分辨率图像观察模型及正则约束，给出相应的能量泛函，并采用动态偏微分方程演化来求解能量泛函。

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。