GENERAL SOLITON SOLUTIONS OF THE COUPLED SCALAR FIELDS

Let σ and ρ be two field variables of the n-dimensional coupled scalar fields. Taking the function transformations σ=σ(ξ) and ρ=ρ(ξ) leads to an equation F(σ,ρ,dσ/dρ,d²σ/d²ρ) =0. Inserting any solution of this equation into the field equations yields a pair of general soliton solutions σ=σ(ξ) and ρ=ρ[σ(ξ)]. Some interesting specific soliton solutions are given. The stability and other properties of these solitons are discussed.     

Potential strategy used for controlling the phosphorescent properties in tetradentate Pt(II) complexes: Effect of azole ligand

Designing deep‐blue phosphorescent materials is vital and essential in the construction of white organic light‐emitting diodes. Using density functional theory (DFT) and time‐dependent DFT, three tetradentate Pt(II) complexes were investigated in detail to reveal the influence of azole ligand with varying number of N atoms on the emission wavelengths and radiative and non‐radiative decay processes. The calculated results indicate that with an increase of N atoms in azole rings, the radiative decay process can be effectively facilitated. Moreover, an increase of N atoms in azole rings could lead to a distinct blue‐shift of emission wavelengths from 553 to 470 nm. Also, the non‐radiative decay processes, including temperature‐independent and temperature‐dependent ones, were taken into account. The results may provide some valuable and meaningful information for designing high‐performance phosphorescent Pt(II) complexes.     

The extension of the first main theorem for π-blocks

Let π be a set of primes and G a π-separable group. Isaacs defines the Bπ characters, which can be viewed as the "π-modular" characters in G, such that the Bp′ characters form a set of canonical lifts for the p-modular characters. By using Isaacs' work, Slattery has developed some Brauer's ideals of p-blocks to the π-blocks of a finite π-separable group, generalizing Brauer's three main theorems to the π-blocks. In this paper, depending on Isaacs' and Slattery's work, we will extend the first main theorem for π-blocks.     

基于RFID无阻塞扫描控制的机器人室内定位设计

针对RFID移动机器人室内定位中的标签扫描问题,提出一种基于六边形分布模式的RFID无阻塞扫描控制方案,用于机器人的室内定位系统设计和误差检测。首先,将RFID标签根据六边形模式进行分布,减小位置估计的静态误差;然后,阅读器利用固定信道分配(FCA)方法给每个标签分配ID,使阅读范围内标签ID都不相同;最后,当阅读器读取信息时,发送查询请求给范围内的标签,标签根据自身ID决定应答时隙,避免冲突。实验结果表明,相比基于树的扫描控制方案,本文方案能够降低标签/阅读器的复杂度,同时具有较小的位置估计误差和扫描延迟,可帮助机器人实现精确定位。     

纠错编码中的代数理论与方法

纠错编码是保证通信可靠性的重要手段.本文首先介绍了纠错编码的基本概念和主要数学问题,然后基于线性代数、抽象代数的理论与方法,讨论了两类常见的纠错编码——线性码、循环码.     

Zassenhaus猜想的一个注记

在这篇注记中,通过研究两个有限群直积的整群环的正规化挠单位的偏增广,证明了在某些条件下这些正规化挠单位与该群中的元素在有理群代数中共轭.     

C_2H_2,C_2H_4与K在Ru(100)表面上共吸附的UPS研究

利用紫外光电子谱 (UPS)对乙烯 (C2 H4)和乙炔 (C2 H2 )气体在Ru(10 10 )表面的吸附及与K的共吸附进行了研究 ,实验结果表明 :当衬底温度超过 2 0 0K ,乙烯即发生脱氢反应后 ,σCH 和σCC 能级均向高结合能方向移动 .在室温下 ,σCH和σCC 能级位置与乙炔在Ru(10 10 )表面的吸附时的分子能级完全一致 .乙烯发生脱氢反应后的主要产物为乙炔 .衬底温度从 12 0K升到室温 ,Ru(10 10 )表面上乙炔的σCH 和σCC 能级均未发现变化 .室温下乙炔仍然可以在Ru(10 10 )表面以分子状态稳定吸附 .在有K的Ru(10 10 )表面上 ,室温时σCC谱峰几乎消失 .碱金属K的存在促进了乙炔的分解 .     

Accurate closed‐form approximation for pricing Asian and basket options

By approximating the distribution of the sum of correlated lognormals with some log‐extended‐skew‐normal distribution, we present closed‐form approximation formulae for pricing both Asian and basket options. Numerical comparison shows that our formulae provide both computational simplicity and accuracy. Copyright © 2008 John Wiley & Sons, Ltd.     

三维开放骨架镧系金属有机配位聚合物Tm(BTC)(DMF)(DMSO)的合成、 结构和性质

以稀土元素铥(Tm) 作为金属中心, 均苯三甲酸(H3BTC)作为有机配体制备了一个新型的三维配位聚合物 Tm(BTC)(DMF)(DMSO), 并通过X射线单晶衍射、元素分析、热重分析、吸附测试等手段对其进行了表征.