有限函数

We first prove that a directly finite exchange ring satisfying the comparability axiom has a unique rank function.

5.3证明了满足比较公理的直有限exchange存在唯一的秩函数。

A novel finite-difference time-domainmethod,called shift operator FDTDmethod is developed for anisotropic magnetized dispersive media.The recursive relation between operators is used.In this paper,some expressions containing the dielectric constants of magnetized dispersive media are written as rational polynomial function.

给出了一种新的计算各向异性磁化色散介质的有限差分算法，称为移位算子FDTD算法，它利用算子之间的移位递推关系，将一类色散介质的包含介电常数的表达式写成有理分式函数形式，进而导出FDTD中一系列相关量之间的关系。

Do some tentative analysis of the tunnel lining by numerical manifold method. the idea is given that combining regular mesh with finite element mesh and using low-order and high-order cover displacement function in numerical manifold method, it make preprocess and program analysis, precision and efficiency for coordination.

4利用数值流形方法对隧道工程中衬砌结构进行了尝试性的分析，提出了结合规则网格和有限网格并行、高低阶覆盖位移函数混合计算的思想，以达到前处理和程序计算、计算效率和求解精度的协调。

The idea is given that combining regular mesh with finite element mesh and using low-order and high-order cover displacement function in numerical manifold method, it make preprocess and program analysis, precision and efficiency for coordination.

4利用数。。。更多值流形方法对隧道工程中衬砌结构进行了尝试性的分析，提出了结合规则网格和有限网格并行、高低阶覆盖位移函数混合计算的思想，以达到前处理和程序计算、计算效率和求解精度的协调。

Based on an appropriate monitoring function, a switching scheme is proposed so that after a finite number of switching, the tracking error can converge exponentially to zero if the plant relative degree is one, or a residual set whose radius is proportional to some design parameters if the plant relative degree is greater than one.

在监控函数的监测下，相关的控制信号经至多有限次切换后将停止切换，系统跟踪误差指数收敛于零(若被控系统相对阶为1)，或收敛于一个正比于设计参数的残集中(若被控系统相对阶大于1)。

In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory. By analysing the parameters of the equation and designing the methods of module partitions, the numerical experiments reach a good result and the parallel efficiency has been improved remarkably with finite difference method.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

Viability Theory is applied to the optimal control problem for switching time varying systems in this dissertation for the first time. The statement about a characterization of the extended value functions as the unique lower semicontinuous solution to a Bensoussan-Lions type QVI is proved.

本文首次将生存理论这一数学工具应用到有限时间切换时变系统的最优控制问题中，得到了最优控制问题的值函数是一类拟变分不等式唯一的下半连续解的重要结论。

In order to find simultaneous confidence intervals for finite or all the estimable functions in a normal linear model, the literature[1-3] gives us three methods: Scheffe, Bonfenoni and Tukey simultaneous confidence intervals.

在正态线性模型Y=Xβ+ε，ε～N_n(0，σ~2I)中，考虑有限个或者所有的可估函数的同时区间估计，文献[1-3]给出了三种区间，分别为Scheffe，Bonferroni和Tukey同时置信区间。

Three-dimensional source distribution theory is used to calculate the wave forces of immobile floating bodies,and the problem of singular points in different Green function is solved.

使用三维源汇分布法计算有限水深中零航速浮体所受到的波浪力，对两种不同形式的格林函数中所共同存在的奇点问题分别进行了处理。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。