Note on Left Invariant Almost Cosymplectic Structures

Periodica Mathematica Hungarica -     

Closed graph and open mapping theorems for normed cones

A quasi-normed cone is a pair (X, p) such that X is a (not necessarily cancellative) cone and q is a quasi-norm on X. The aim of this paper is to prove a closed graph and an open mapping type theorem for quasi-normed cones. This is done with the help of appropriate notions of completeness, continuity and openness that arise in a natural way from the setting of bitopological spaces.     

Noncommutative versions of the Singer-Wermer conjecture with linear left ϑ-derivations

The noncommutative Singer-Wermer conjecture states that every linear （possibly unbounded） derivation on a （possibly noncommutative） Banach algebra maps into its Jacobson radical. This conjecture is still an open question for more than thirty years. In this paper we approach this question via linear left θ-derivations.     

On the scarcity of contravariant left adjunctions

It is shown that any pair of contravariant mutually left adjoint functors between varieties of algebrasC andD factors through the retractions of these categories onto the complete lattices of epimorphs of their respective initial objects, and is thus fairly degenerate. However, some interesting contravariant left adjoint functors do exist between categories of finitely generated (or otherwise restricted) algebras.This work was done while the author was partly supported by NSF contract DMS 85-02330.Presented by F. E. J. Linton.     

心电激励下的人体左心室力学响应分析

人体心脏通过电兴奋引起的心肌收缩实现泵血功能 ,而心肌的力学特性高度依赖于肌纤维结构。本文根据肌纤维旋向和复合材料理论以及电生理心脏模型建立了左心室的有限元机械模型 ,仿真研究了左心室在心电兴奋力作用下的力学响应。结果表明左心室的收缩过程是十分复杂的 ,包括轴向和径向的收缩及绕长轴的不同程度的旋转扭曲。从总体趋势上看 ,心尖处变形最为严重。此外 ,仿真结果还表明 ,心壁应力分布不均匀 ,从内壁到外壁有所减少 ;在心尖和心底部应力较大 ,其中内壁心尖处应力最大。这些结果说明了心脏的力学特性与心肌纤维结构、左心室的几何形状以及电兴奋刺激密切相关。作者将本文的仿真结果与医学图像及其它模型进行了对比分析 ,结果表明了该模型用于分析心肌力学功能特性的可行性     

Extremely high concentration of electromagnetic field in the three-dimensional waveguides based on transformation optics

Based on the coordinate transformation theory, we propose a way to manipulate the field distribution in three-dimensional waveguides filled with the designed material. In this work, we show that the designed transformation media can concentrate the electromagnetic field more extremely around the center of the rectangular cross-section inside the straight waveguide. Furthermore, high concentration of the field distribution inside the waveguide bend is also performed well. Numerical simulations demonstrate that the electromagnetic wave can propagate without any signal destruction and conserve the original propagation mode at receiver side.     

基于高介电常数基板和金属结构负折射材料的设计,仿真与验证

通过将单回路镜像对称开口金属环结构印制在高介电常数基板上,实现了一种金属含量比传统负折射材料更少,"双负"通带比全介质负折射材料更宽的负折射材料.分析了高介电常数基板产生负介电常数以及"双负"通带形成的机理,通过仿真实验分析了影响"双负"通带的因素.通过制作样品验证了这一机理实现"双负"的可行性,理论分析与实验结果都表明这种方法可实现较宽频段内的"双负"通带. 关键词： 负折射材料 负介电常数 负磁导率 介质谐振器原理     

平均折射率为零的光子晶体中缺陷模频率特性的实验研究

利用传输线技术制备了左手材料,将左手材料与正常材料交替排列组合成平均折射率为零的一维光子晶体.该光子晶体在特定频段具有光子带隙,带隙不随晶格尺度和入射角的变化而改变.通过掺杂技术破坏光子晶体的周期性,可在禁带中引入缺陷模,这种结构的光子晶体可用于实现滤波器小型化和超强耦合.研究表明,通过调节缺陷的厚度可以控制缺陷模的频率,这为调节频率提供了一种方法.实验与仿真结果相符. 关键词： 左手材料 复合左右手传输线 光子晶体     

Convergence analysis for system of equilibrium problems and left bregman strongly relatively nonexpansive mapping

In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature.     

A separation theorem for the weak s-convex orders

The present paper extends to higher degrees the well-known separation theorem decomposing a shift in the increasing convex order into a combination of a shift in the usual stochastic order followed by another shift in the convex order. An application in decision making under risk is provided to illustrate the interest of the result.