Clifford 分析中超正则函数向量的一个边值问题

By the Plemelj formula and the compressed fixed point theorem,this paper discusses a kind of boundary value problem for hypermonogenic function vectors in Clifford analysis.And the paper proves the existence and uniqueness of the solution to the boundary value problem for hypermonogenic function vectors in Clifford analysis.     

LTV度量反馈控制问题的最优控制器

In this paper,we consider the measurement feedback control problem for discrete linear time-varying systems within the framework of nest algebra consisting of causal and bounded linear operators.Based on the inner-outer factorization of operators,we reduce the control problem to a distance from a certain operator to a special subspace of a nest algebra and show the existence of the optimal LTV controller in two different ways：one via the characteristic of the subspace in question directly,the other via the duality theory.The latter also gives a new formula for computing the optimal cost.     

量子群${\cal U}_q(\osp(1,2,f))$的结构

In this paper we construct a new quantum group Uq（osp（1,2,f））,which can be seen as a generalization of Uq（osp（1,2））.A necessary and sufficient condition for the algebra Uq（osp（1,2,f）） to be a super Hopf algebra is obtained and the center Z（Uq（osp（1,2,f））） is given.     

某类q-差分方程亚纯解的值分布

In this paper, we consider the value distribution of meromorphic solutions of order zero of some kind of q-difference equations and examples are also given to elaborate our results.     

复指数函数系的极小性

A sufficient condition is obtained for the minimality of the complex exponential system E（A, M） = {z^le^λnz： l = 0, 1,,.., mn - 1; n = 1, 2,...} in the Banaeh space La^p consisting of all functions f such that f^-a ∈ LP（N）. Moreover, if the incompleteness holds, each function in the closure of the linear span of exponential system E（A, M） can be extended to an analytic function represented by a Taylor-Dirichlet series.     

可定向曲面上两个地图的交叉数

In this paper, we discuss the crossing numbers of two one-vertex maps on orientable surfaces. By using a reductive method, we give the crossing number of two one-vertex maps with one face on an orientable surface and the crossing number of a one-vertex map with one face and a one-vertex map with two faces on an orientable surface. This provides a lower bound for the crossing number of two general maps on an orientable surface.     

Orlicz 空间小波展开的收敛性

In this paper we study the convergence in norm and pointwise convergence of wavelet expansion in the Orlicz spaces,and prove that,under certain conditions on the wavelet,the wavelet expansion converges in the Orlicz-norm and also converges almost everywhere.     

现代固态有机化学之父——Gerhard M.J.Schmidt

本文主要介绍了GerhardM.J.Schmidt教授的生平、代表性的科研工作及其意义、影响和应用,从中展现出他的优秀品质、治学精神、杰出成就以及影响力。Schmidt教授少年早慧,求学艰辛,天赋独特,痴迷科学,为科学事业奋斗终身,在多个领域都有着卓越的成就,其中以固态有机化学领域最具代表性。他在科研的同时还担任诸多行政职务,为魏茨曼研究所、以色列乃至全世界的科学发展做了许多贡献。     

移动机器人履行系统配置优化研究——基于闭排队网络理论

本文对移动机器人履行系统中货架调度任务的履行过程进行分析,根据机器人在货架装载、搬运、拣选、卸载四个过程的作业特点建立闭排队网络模型。采用近似平均值分析算法求解,实现系统绩效的迅速评估。通过与仿真计算实验的对比证明,模型对系统绩效的评估误差不超过5%。利用闭排队网络模型评估拣选台、机器人利用率和调度任务履行能力,实现对系统设施配置的讨论和优化。研究表明,拣选台均匀分布于仓库较长的两侧能提高系统履行绩效;系统存在最优机器人投放数量使系统整体利用率较高。     

H型群上$p$-次Laplace算子的Hopf型引理和强极大值原理

本文首先推广了Capogna,Danielli和Garofalo关于p-次Laplace算子的径向解的一个重要公式,然后通过改进欧氏空间中证明Laplace算子的Hopf引理的方法,证明了H型群上p-次Laplace算子的Hopf型引理,进而证明了一个强极大值原理。