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The results show that, when the computational error and its accumulation are eliminated effectively, the laminar flow in OFR with perfect-symmetric boundaries behaves in a pattern of central symmetry and circumferential uniformity while the turbulent flow field presents a centrally symmetric and circumferentially non-uniform structure with 8 transverse vortices arrayed circumferentially in a way of central symmetry, similar to Taylor vortices in Couette flow.

模拟结果表明在有效消除计算随机误差以及误差积累的情况下，几何边界理想对称OFR内的三维层流流场呈现出良好的中心对称性和周向均匀性，而湍流流场中心对称的同时呈现出周向非均匀结构－在圆周上生成8个中心对称排列的横向漩涡，其形态与Couette流中的泰勒涡类似。

Through the definition of symmetric circulant matrix, the nature of the study, we discuss a class of n-order symmetric circulant matrix of eigenvalues and eigenvectors, and parity check on n different values are given for the matrix eigenvalue and the characteristics of vector formula.

通过对称循环矩阵的定义、性质的学习，我们讨论了一类n阶对称循环矩阵的特征值和特征向量，并分别就n取奇偶等不同数值时，给出了求该矩阵的特征值和特征向量的公式。

Advances an efficient method of 2D FIR filtering based on impulse response rounding. Discusses the impulse response characteristics of 2D FIR filter. Then describes designing process of efficient 2D FIR filter based on impulse response rounding. Discusses application of efficient 2D filter with circular symmetric with eightfold symmetric frequency response. At last discusses the selection of rounding parameters.

提出了一种高效、实用的二维FIR滤波器的设计方法，在讨论了二维FIR滤波器的冲激响应特性的基础上，开发了一种基于冲激响应舍入法的高效二维FIR滤波器的设计方法，并以具有八重对称的圆对称滤波器为例讨论了高效滤波器的实现过程，最后对滤波器设计中的舍入参数的确定进行了讨论。

Besides, in the new spectral dynamical framework the calculation amount firstly is decreased to half by properly using the complex conjugate relation of spectral coefficients and the symmetric and anti-symmetric character of spherical function.

另外，新方案中的纬向谱系数计算式，合理利用谱系数的复共轭性质及球函数关于赤道对称或反对称特性，使计算量减半。

Using the output data of a MM4 mesoscale numerical model which fairly well simulated the developing structure and the evolution of the "96.1" snowstorm event over Qinghai Xizang Plateau, a nonlinear and non zonally non parallel basic flow symmetric instability models and simulation system were developed to validate the possible effect of conditional symmetric instability on the formation of the snowstorm process, the results showed that in a developing model of two dimensional nonlinear SI i...

利用"96 。1"青藏高原东北部暴雪过程的较成功的中尺度模拟的输出资料，用非纬向非平行基流中的对称不稳定模式，对"96 。1"暴雪发生发展过程的动力学机制进行了三维基流中二维非线性对称不稳定数值模拟试验。结果表明，ψ场和w场的三维配置与切变线的演变过程相当一致，说明用三维基流中二维非线性对称不稳定可能能较好地描述SI在切变线东伸南移过程中所起的作用。

Therefore, the moist potential vorticity analysis associated with the mesoscale convective system was researched in the paper, so as to reveal the moist potential characteristics of mesoscale convective system in typhoon circulation. The results showed that, during the generation stage, convective instability characterized by MPV1 was a favorable condition for forming MCS, while the vorticity which was caused by the slantwise isentropic surface and the vertical shear of the horizontal wind characterized by MPV2 was an inspiring mechanism. The specific process was that, the atmosphere exhibited the feature of strong convective instability at the low level of convection areas and the southeast areas, which included plenty of erratic energy. The slantwise ascended the stream transfer the erratic energy to northwest, where the stratification stability was small. As decreased, the cyclonic vorticity increased. On the other hand, the vorticity caused by the slantwise isentropic surface and the vertical shear of the horizontal wind inspired the release of convective instability and as a result that the MCS formed. During the development stage, the cyclonic vorticity increased quickly with the persistent decreasing of . Meanwhile, the inclination of isentropic linewas bigger than the absolute momentum line at middle level, which exhibited the feature of conditional symmetric instability , then the conditional symmetric instability was forced to release by the vorticity resulted from the slantwise isentropic surface and the vertical shear of horizontal wind, and the MCS developed.

结果表明，在对流形成阶段，MPV1即对流不稳定为MCS的形成提供背景不稳定条件，由MPV2即湿等熵面的倾斜和水平风的垂直切变而引起的涡旋发展作为强迫机制：MCS形成的区域及东南区域中低层是强对流不稳定层，蕴含丰富的不稳定能量，倾斜上升运动把对流不稳定区具有强不稳定能量的暖湿空气向西北中层的中性层结区输送，由于的减小，气旋性涡度增强，有利于形成对流，另一方面，由于湿等熵面倾斜和低空急流加强而引起的涡旋发展作为一种强迫机制激发对流不稳定能量得到释放，从而形成对流；在对流系统地发展阶段，由于低层的对流不稳定性进一步减弱，进一步减小，气旋性涡度进一步增强，有利于MCS的增强，中层等θe 线的倾斜度比绝对动量M 等值线的倾斜度大，对应有条件对称不稳定区域，满足条件对称不稳定条件，在湿等熵面倾斜和台风低空急流作用下引起的涡旋发展强迫对称不稳定能量释放，从而使得对流得以维持和加强。

It also provided the conditions for the existence of large cores of symmetric games. It proved the equivalence relation of convex games and monotonic symmetric games.

本章还给出了对称对策的广义核心存在的条件，证明了凸对策与单调对称对策的等价关系。

Based on these characteristics it raised how to choose the symmetric cryptograph algorithm and non-symmetric cryptograph algorithm.

接着研究了适合数字加密电话通信系统的密钥产生和管理办法，对传统的密钥管理方法做了改进。

Further, we introduce the concept of partially symmetric positive solution and discuss the existence of three partially symmetric positive solutions for the boundary value problem of second-order functional differential equation.

进一步，我们引入了部分对称正解的概念，并讨论了二阶泛函微分方程边值问题的三个部分对称正解的存在性。

The resulting linear system, the coefficient matrix of which is, typically, a 2 x 2 block symmetric or non-symmetric and singular or non-singular indefinite matrix, is of high order and ill conditioned. In order to solve such system we have to use iterative methods with fast convergence speed.

所得的离散方程组（其系数矩阵典型地是 2 x 2 块对称或非对称，奇异或非奇异的不定矩阵）是高阶和病态的，为了求解这样的方程组我们必需使用快速收敛的迭代方法。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。