查询词典 scattered set

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The results show that the scattered radiant intensity is always symmetric with respect to the polarization plane, and that the scattered intensity is sensitive to the scattering particle size regardless of the incident radiation polarization, and finally, that the vertical components in the scattered light are totally different distribution for two kinds of polarized radiation.

散射粒子直径分别为：1.24μm、0.494μm、0.36μm、0.123μm、0.065μm。以粒子与水技不同比例混合液，作为散射粒子场。所得结果表明，散射光强度总是相对入射光束的偏振面呈对称分布；散射光强度对散射粒子大小敏感而与入射光偏振态无关；散射光中垂直偏振分量在两种光入射下存在完全不同的状态分布。

Especially the deficiencies of the research work in scattered wave numerical simulation and its applications were summed up:①geometry is unseemliness;②lack of study systematically in the scattered wave field characteristic;③lack of study systematically in the scattered wave field recognize and its interpretation;④lack of the program for scattering image.

对散射理论及应用研究成果进行了系统评述，特别对前人关于散射波数值模拟和应用研究的不足进行了总结：(1)观测系统设计不合理；(2)对散射波的特征研究缺乏系统性；(3)对复杂散射波场的识别方法没有进行系统研究；(4)适合散射成像的处理软件还有待开发。

The results of experiment show the glass fiber dealed with by KH550 is notscattered in these solvents such as the water, the component solvent of phenol andtetrachloroethane, and ethyl alcohol solution of KH550, but it is evenly scattered inthe solution of PET, the concentration of which has great effect on the dispersion ofglass fiber. The glass fiber can' t be scattered when the value of consistency is below0.2664g/ml, and 0.75g glass fiber can be scattered in 100ml solution.

本实验通过对玻璃纤维分散的研究发现，玻璃纤维(长 3mm，经 KH550 处理)在水、苯酚/四氯乙烷、KH550 的乙醇溶液中都不能分散，而在 PET 的苯酚/四氯乙烷溶液中能均匀分散，且溶液的浓度对分散性影响很大，当浓度。2664g/ml 时，玻璃纤维不能分散，玻璃纤维在 100ml 浓度为 0.4444g/ml 的溶液(90℃下，PET 的饱和溶液)中的最大分散量为：0.75g。

With respect to the 3D modeling, the Delaunay Triangulation constructing method of 2D scattered data set is discussed firstly. The triangulation method of 3D surface data set of 3DLCS is analyzed by basing on the DT constructing problem of 2D scattered data set.

在三维构型方面，本文首先论述了二维散乱数据点集的Delaunay三角形化构造方法，然后以此为基础分析了3DLCS中的三维表面数据集的三角形化方法。

The shortest path approximation algorithm builds a weighted graph from the given set of scattered points using the distribution of these data points. By computing the shortest path in the weighted graph, the problem of curve reconstruction from scattered data points is transformed into that of curve reconstruction from a set of ordered data points.

最短路逼近算法首次将图论中最短路径理论引入到曲线重建中，根据散乱数据点的分布构造带权连通图，通过求解带权连通图的最短路径，将散乱数据点集的曲线重建问题转化为有序数据点集的曲线重建问题。

A set is "less than" another set if and only if the first set is a proper subset of the second set, and a set is "greater than" another set if and only if the first set is a proper superset of the second set.

只有当第一个集合是第二个集合的严格子集时，我们才称第一个集合"小于"第二个集合，同理，只有当第一个集合是第二个集合的严格超集时，我们才称第一个集合"大于"第二个集合。

To declare what we can do with a set, we start a header file Set.h:#ifndef SET_H #define SET_H extern const void * Set; void * add (void * set, const void * element); void * find (const void * set, const void * element); void * drop (void * set, const void * element); int contains (const void * set, const void * element);#endif The preprocessor statements protect the declarations: no matter how many times we include Set.h, the C compiler only sees the declarations once.

宣布我们能做些什么用一套，我们开始一个头文件Set.h ：＃ ifndef SET_H ＃定义SET_H 外部构造无效*设置；无效*地址（无效*一套，无效*常量元素）；无效*找到（常量无效*一套，无效*常量元素）；无效*下降（无效*一套，无效*常量元素）；国际载（常量无效*一套，无效*常量元素）；＃ endif 预报表保护声明：无论多少次我们包括Set.h ， C编译器将只看到申报一次。

Thesis and mainly discuss the following problems:What we mainly discussed in the second chapter as follows:(1) S1,S2 are sets of symmetric orth-symmetric matrices;(2) S1,S2 are sets of bisymmetric matrices;(3) S1,S2 are sets of anti-symmetric orth-anti-symmetric matrices;(4) S1,S2 are sets of bi-anti-symmetric matrices;(5) S1 is the set of symmetric orth-symmetric matrices, S2 is the set of anti-symmetric orth-anti-symmetric matrices;(6) S1 is the set of bisymmetric matrices, S2 is the set of bi-anti-symmetric matrices;(7) S1 is the set of anti-symmetric orth-anti-symmetric matrices, S2 is the set of symmetric orth-symmetric matrices;(8) S1 is the set of bi-anti-symmetric matrices, S2 is the set of bisymmetricmatrices;On the base of studying the basic properties of the matrices, the expression of solutions and some numerical examples are presented.

本文第二章将主要就上述问题讨论如下几种情况： 1.S_1，S_2为对称正交对称矩阵； 2.S_1，S_2为双对称矩阵； 3.S_1，S_2为反对称正交反对称矩阵； 4.S_1，S_2为双反对称矩阵； 5.S_1为对称正交对称矩阵，S_2为反对称正交反对称矩阵； 6.S_1为双对称矩阵，S_2为双反对称矩阵； 7.S_1为反对称正交反对称矩阵，S_2为对称正交对称矩阵； 8.S_1为双反对称矩阵，S_2为双对称矩阵。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。