超越整函数半群的斜积

设G是一个由有限个超越整函数f1f,2,…f,m生成的半群,其中半群运算是函数的复合.结合词空间∑={1,…,m}^N定义斜积,在此基础上给出斜积的Fatou集和Julia集的定义,得到了它的Fatou集和Julia集的跟古典Fatou-Julia理论相似的一些基本性质.     

一类半线性微分方程的调和伪概周期解

利用不动点理论,给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。     

Optimal Control for Pennes' Bioheat Equation

The problem of Pennes' bioheat boundary control through a skin with its inner medium kept at a constant steady‐state temperature where the outer surface subjected to conductive condition is solved by different methods. Analytical and mild solutions of Pennes' boundary control problem yield a discrete optimization problem for temperature profile at the specific depth point as well as temperature profile at all points of the skin in the final time. The pointwise optimal control problem has been solved by discretized form of the unconstrained optimization problem using analytical solution for Pennes' boundary control problem. The analytical solution has been used to solve the optimal control problems via an unconstrained/constrained optimization in Methods I and II. In Method III first, Pennes' boundary control problem is solved using mild solution by strongly continuous semigroup theory. Then, nonlinear optimization problem with linear constraints is proposed to calculate the corresponding piecewise optimal control function. All methods, have been applied to a homogeneous tissue. Mathematical simulation is done to show the optimal controls for the related states when minimum effort is used.     

Lattice implication ordered semigroups

From the viewpoint of semantics, lattice implication algebras provide a basis to establish lattice-valued logic with truth value in a relatively general lattice. In this paper, we first introduce two notions of lattice implication n-ordered semigroup and lattice implication p-ordered semigroup, which induced by lattice implication algebras. Secondly, we study some of their basic properties and prove that a lattice implication n-ordered semigroup is a residuated semigroup, and a lattice implication p-ordered semigroup is an arithmetic lattice ordered semigroup. We also define the homomorphism mapping between lattice implication n-ordered semigroups. Finally, we discuss some properties of filters and sl ideals in lattice implication n-ordered semigroups and lattice implication p-ordered semigroups.     

矿业开发密集程度的模糊聚类分析

针对矿业开发对生态环境影响研究的需要．提出了矿业开发密集地区的概念及密集程度的模糊综合聚类分析方法,并以河北省迁安市为例进行了研究,分类结果与实际情况相符。为该类地区有针对性、有重点地进行景观生态恢复与重建提供了科学依据。     

一类变换半群的若干结果

对保两个等价关系变换半群的某些性质进行了研究,利用格林关系及幂等元正则性,讨论了这类半群的某些性质,得出了保两个等价关系变换半群是左零半群、右零半群的充要条件.     

代数理论研究中的计算机算法和应用软件开发

该文利用VC++,旨在使用计算机实现各种特殊类代数系统的建立,特别是针对半群类的一些理论进行编程并搜索验证。文中重点研究了计算机实现的技术要点,并开发了两套应用软件,通过上机对定理的证明,结果说明了此设计方案的应用十分实用且有效。从而开辟了计算机在代数纯理论研究中的一条重要应用途径。     

真映射生成半群的拓扑压

在Biś和Patrão定义的拓扑熵基础上给出了度量空间中有限个真映射构成的半群的拓扑压, 并证明了局部紧可分度量空间上由真映射构成的自由半群的拓扑压和它的一点紧化空间上对应的拓扑压相等, 在此基础上给出真映射构成的半群的拓扑压的性质。     

幂零半群满足Г(S)是中心为c的星图加细

对于中心为c的星图加细Г(S),主要讨论了当导出子图Г(S)c*同构于K1,1时,幂零半群S的代数结构及性质.     

构建多元化控制体系防治巢湖水污染

在分析巢湖水污染控制的研究现状与存在问题的基础上,指出在现有的巢湖水环境污染问题研究中基础性与系统性研究不足,科技成果转化率低,关键理论与技术问题亟待解决。提出从技术基础研究、应用技术开发和建立示范工程三个层面开展研究,构建“污染源头控制、本体释磷控制、过程削减控制、末端强化控制、管理系统控制”的巢湖水污染多元控制防治体系的建议。