查询词典 spherical bessel function

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

The double integration can be simplified to standard Bessel integration through the relation of Bessel functions.

利用贝塞尔函数的性质可将该二重积分化为标准的贝塞尔积分，然后采用直接数值积分的方法计算该积分。

In addition, the study on ionic liquid being used as the electrolyte of EDLC was carried out extraneously, a good result of 310F/g was obtained. That the possibility of spherical active carbon used as the electrode materials was also investigated for the convenient preparation of electrode, the specific capacitance of spherical active carbon was 188F/g, having directive function for the preparation from powder SAC to spherical active carbon.

另外，本项目也额外进行了离子液体作为电解液性能的研究，获得了比电容高达310F/g好结果；考虑到电极制作，又研究了活性炭微球作为电极的可能性，得到了比电容为188F/g的结果，为下一步将粉状的超级活性炭制作为球状的活性炭提供了指导与借鉴作用。

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

The problem of multi-objective usually meet many conflict each other and can not use the objective of the same standard unit, then to employ membership function of fuzzy theory,at first each objective function to change fuzzy set and express with membership function, membership function include the maximum constraint, minimum constraint, the decrease function of monotonic property, to become optimal of the multi-objective function, but still to scanty of weighting value with regard to adjustment of objective function, thus this thesis proposes the method of combine orthogonal arrays and particle swarm optimization to solve the problem of multi-objective optimal power flow, each objective function separately add weighting value, to setting each weighting value of objective function in order to the result of anticipating.

多目标最佳化的问题通常会面临到许多互相冲突且不能用同ㄧ标准单位的目标，於是利用模糊理论中的归属函数，首先将各目标函数转换成模糊集合并以归属函数表示，归属函数包含了最大限制值、最小限制值、单调的递减函数所组成，将各目标函数利用归属函数表示，形成单一目标函数的最佳化，但是仍缺乏权重值对於目标函数的调整，於是本篇论文提出ㄧ种权重值设定与粒子群优演算法的方法去解决多目标最佳电力潮流的问题，将各目标函上分别加上权重值设定各目标函数的权重值，得到预期的效果。

Along with the time development, the computer technology more and more thorough various trades and occupations, have provided thorougher and a convenient service for the general users In order to realize raises department's working efficiency, uses the resources fully, reduces the nonessential manpower, physical resource and financial resource goals and so on disbursement, presented various information management system The paper will design university student's dormitory information management system's Web and realizes using the solution The university student's dormitory information management system is one safe and the highly effective proprietory system, designs specially for the information engineering institute This system has used many technologies, for instance JSP, JDBC, Web service and so on The proprietory system use's database is SQL the Server 2000 databases The university student's dormitory information management system's major function includes: May realize to the student's dormitory information inquiry function, including fast inquiry function and classified inquiry function; To the student's dormitory information's input function, the revision function, deletes the function and the statistical function Realizes the dormitory Control section through the system above function regarding the student's dormitory information current management, namely facilitates the dormitory administrative personnels to keep abreast of the student lodging situation and the billeting situation comprehensively promptly; Has provided some simple data inquiry for the user and outputs each kind of information and so on

随着时代的发展，计算机技术越来越深入各行各业，为广大的用户提供了更为周到和便捷的服务。为了实现提高部门的工作效率，充分利用资源，减少不必要的人力，物力和财力的支出等目的，出现了各种各样的信息管理系统。论文将设计一个高校学生公寓信息管理系统的Web应用解决方案并予以实现。高校学生公寓信息管理系统是一个安全和高效的专用系统，专为信息工程学院设计。这个系统使用了很多技术，比如JSP，JDBC ，Web服务等。专用系统使用的数据库是SQL Server 2000 数据库。高校学生公寓信息管理系统的主要功能包括：可以实现对学生公寓信息的查询功能，包括快速查询功能和分类查询功能；对学生公寓信息的录入功能，修改功能，删除功能和统计功能。通过系统上述功能实现公寓管理部门对于学生公寓信息的日常管理，即方便公寓管理人员及时全面地掌握学生住宿情况及公寓分配情况；为用户提供了一些简单的数据查询并输出各种信息等。

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 main purpose is to construct cubature formulae on an arbitrary spherical triangle. Firstly a method for accurately computing the definite integral of spherical polynomial functions on a spherical triangle is proposed.

本文主要研究定义在球面三角形上函数的数值积分，通过积分的插值多项式函数构造具有多项式精度的插值型求积公式，以及给出精确计算球面三角形上多项式函数方法。

New contributions of this work are as follows:(1). Preparation of Spherical MgCl_2-Supported Late-Transition Metal Catalysts for Ethylene PolymerizationFacile and effective immobilization of late-transition metal catalysts. 2,3-bis-(2,6-diisopropylphenyl) butane diimine nickel dibromide (1) and 2,6-bis-[1-(2,4,6-trimethylphenylimino)ethyl]pyridine iron dichloride (2), for ethylene polymerization has been achieved, using spherical MgCl_2 supports obtained by thermal dealcoholization of MgCl_2·2.56C_2H_5OH, and the effects of dealcoholization temperature on supported late-transition metal catalysts and the properties of resultant polymers were studied, the results indicated that:1.Supports with appropriate mechanical strength, high surface area and high porosity could be prepared by thermal dealcoholization of spherical MgCl_2·2.56C_2H_5OH supports; 2.BET, XRD, IR, SEM, GPC and DSC analyses indicate that the activities of the supported late-transition metal catalysts and the properties of resultant polymers are strongly dependent on the dealcoholization temperature.

本工作的新贡献如下：(1)、球形氯化镁负载后过渡金属催化荆催化乙烯聚合本文将配合物2，3-双(2，6-二异丙基苯亚胺)丁烷二溴化镍(1)和配合物2，6-二[1-(2，4，6-三甲基苯亚胺)乙基]吡啶二氯化铁(2)分别直接负载于经不同热脱醇温度处理的球形氯化镁载体上，研究了氯化镁载体的脱醇温度对负载化后过渡金属催化剂及其聚合物的影响，研究表明：1、通过对球形MgCl_2·2.56C_2H_5OH载体进行热脱醇处理，可以获得合适机械强度、较高比表面积和较高孔隙度的球形氯化镁载体；2、BET，XRD，IR，SEM，GPC和DSC研究表明，脱醇温度极大地影响负载后过渡金属催化剂的活性和聚合物的性能。

New contributions of this work are as follows:(1). Preparation of Spherical MgCl_2-Supported Late-Transition Metal Catalysts for Ethylene Polymerization Facile and effective immobilization of late-transition metal catalysts. 2,3-bis-(2,6-diisopropylphenyl) butane diimine nickel dibromide (1) and 2,6-bis-[1-(2,4,6-trimethylphenylimino)ethyl]pyridine iron dichloride (2), for ethylene polymerization has been achieved, using spherical MgCl_2 supports obtained by thermal dealcoholization of MgCl_2·2.56C_2H_5OH, and the effects of dealcoholization temperature on supported late-transition metal catalysts and the properties of resultant polymers were studied, the results indicated that: 1.Supports with appropriate mechanical strength, high surface area and high porosity could be prepared by thermal dealcoholization of spherical MgCl_2·2.56C_2H_5OH supports; 2.BET, XRD, IR, SEM, GPC and DSC analyses indicate that the activities of the supported late-transition metal catalysts and the properties of resultant polymers are strongly dependent on the dealcoholization temperature.

本工作的新贡献如下：(1)、球形氯化镁负载后过渡金属催化荆催化乙烯聚合本文将配合物2，3-双(2，6-二异丙基苯亚胺)丁烷二溴化镍(1)和配合物2，6-二[1-(2，4，6-三甲基苯亚胺)乙基]吡啶二氯化铁(2)分别直接负载于经不同热脱醇温度处理的球形氯化镁载体上，研究了氯化镁载体的脱醇温度对负载化后过渡金属催化剂及其聚合物的影响，研究表明： 1、通过对球形MgCl_2·2.56C_2H_5OH载体进行热脱醇处理，可以获得合适机械强度、较高比表面积和较高孔隙度的球形氯化镁载体； 2、BET，XRD，IR，SEM，GPC和DSC研究表明，脱醇温度极大地影响负载后过渡金属催化剂的活性和聚合物的性能。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。