查询词典 bessel function

Finally the connections between the Lebesgue measure for its image and Bessel-Ricsz capacity are discussed and an explicit Bessel-Riesz capacity estimate is obtained.

利用鞅的方法讨论了广义布朗单的碰撞概率与容度之间的关系，给出了其碰撞概率的容度估计。

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。

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 program is divided into five blocks: the main function, contracting keys function, numbers and decimal memory function, processing function, the value function, display function,rest function and positive and negative function.

将程序分为五个模块：主函数、判键函数、数字和小数点存储函数、运算处理函数、求值函数、显示函数、正负和清零处理函数。

Special attributes: func doc or doc is the function's documentation string, or None if unavailable; func name or name is the function's name; module is the name of the module the function was dened in, or None if unavailable; func defaults is a tuple containing default argument values for those arguments that have defaults, or None if no arguments have a default value; func code is the code object representing the compiled function body; func globals is the dictionary that holds the function's global variables — it denes the global namespace of the module in which the function was dened; func dict or dict contains the namespace supporting arbitrary function attributes; func closure is None or a tuple of cells that contain bindings for the function's free variables.

func defaults是一个包括有参数中设有默认值的元组；func name 或 name 是函数名。func code是一个编译后的代码对象；func globals是一个引用，指向保存了函数的全局变量的字典—-如果你在函数所在模块中定义了全局变量的话。func dict或 dict 包括了支持任意函数属性的名字空间；func closure 要么是None，要么是包括有函数自由变量捆绑的单元的元组。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。