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It is proved that the upper approximation of such fuzzy rough set in a fuzzy approximation space is just its image derived according to generalized extension principle and binary fuzzy similar relation.

通过对偶方式定义了模糊集的上、下近似算子，给出了模糊粗糙集在相应的模糊关系及模糊集的截集下的表示定理，证明了这种模糊粗糙集关于模糊近似空间的上近似恰为其在二元模糊相似关系下导出的广义扩张原理之下的像。

This paper introduces different signal block modes and the method which was used to calculate tracking intervals between trains, and establishes simulation system for multi-train tracking. A case was designed for analysis.

介绍了城市轨道交通不同信号闭塞方式及其追踪列车间隔时间的计算方法，建立了多列车追踪运行的仿真系统，并进行了算例的设计。

In the layer where molecular chaos held, researchers measured Maxwell Boltzmann statistics, like those that predict the mean square speed of particles in the air in the room.

巴克斯特合作构建了两种"气体"，也可以说是构建了两"层"气体，在一层中分子混沌被保留，研究人员测量了麦克斯韦－玻耳兹曼统计，这些数据可以算出空气中分子运动的速度；在另一层中，没有建立分子混沌状态，测量的数据也没有遵循麦克斯韦－玻耳兹曼统计。

In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.

利用不动点指数理论研究了一类含 p-Laplace算子的四阶奇异边值问题的多重正解的存在性，给出了至少存在两个正解的条件，改进了不久前其他作者的相关研究。

And the magnetic field with the magnetic gear was calculated using the software based on the boundary point method, which is developed by author.

在此基础上，开发了基于边界点方法的计算软件，并通过具有解析解的算例对其有效性和可靠性进行了考核，计算了稀土永磁齿轮传动实例。

Let Xand Y be different Banach spaces and 〓Lbe a bounded linear operator,thegeneralized condition number 〓and〓ABA=A,B〓L}are studied.

文章讨论了两类广义条件数的几种表达式，研究了这两类广义条件数之间的关系，并将它们用到算子方程的扰动估计中，推广了Demko[IV.1]中的结果。

Limited by the population and generations, the local search ability is not good. A new niche—Braham model is brought forward. In the Braham niche, the random mating mode between chromosomes is replaced by the mating mode based on the fitness of the chromosomes.

本文提出了一种新的小生境算子—婆罗门，将简单遗传算法中的随机交配改为根据染色体的适应度进行交配，提高了遗传算法局部搜索能力，有效地防止了基因漂移。

We obtain D3 brahe dual of 1/2 BPS Wilson-t Hooft loop, its vacuum expectation value and SL(2,Z)duality.

我们求解了一类1/2 BPS的Wilson-'t Hooft loop算符，得到了它的真空期望值，并验证了它具有严格的SL(2，Z)对称性。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation. Finally, by inversion results and model trial, we verify the feasibility and stability of this method.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。