Chemical oscillation of vanadium complexes: Simple and aperiodic systems

An oscillatory chemical reaction is an intriguing phenomenon subject to various and often uncontrollable factors. Many oscillatory systems consist of a strong acid, metal ion and an additional species with accessible oxidation states, and restrictive temperature conditions. Thus, an oscillatory system in which all the factors are understood would be useful. In this paper, we describe the first such system based on vanadium chemistry. The V(IV) complex (pale green color) turns dark orange with the production of a V(V) complex. This reaction is affected by many factors such as oxygen, ultraviolet (UV) irradiation, visible irradiation, and aldehyde addition. This oscillation reaction occurs only in a dichloromethane solution, suggesting that the solvent intervenes in the reaction. Examination of the gas phase during the oscillation reaction revealed the formation of carbon monoxide, carbon dioxide, hydrogen chloride, and phosgene. Based on these observations, we propose a plausible oscillation reaction mechanism.The results of this study contribute to the field of nonlinear dynamics. Additionally, this work offers new insights into vanadium chemistry because this oscillation phenomenon is strongly correlated with the electron transfer reaction of the vanadium complex. Moreover, studies using vanadium complexes may help in understanding vanadium-mediated electron transfer systems in vivo, such as vanadium accumulation and storage observed in marine organisms.     

Almost sure state estimation for nonlinear stochastic systems with Markovian switching

In this paper, the almost sure asymptotic stability is investigated for the state estimation problem of a general class of nonlinear stochastic systems with Markovian switching. A nonlinear state estimator with Markovian switching is first proposed, and then, a sufficient condition is given, which guarantees the almost sure asymptotic stability of the dynamics of the estimation error. Based on this condition, some simplified criteria are deduced by taking special forms of Lyapunov functions. Subsequently, an easy-to-verify procedure is put forward for the state estimation problem of the linear stochastic system with Markovian switching. Finally, two numerical examples are used to illustrate the effectiveness of the main results.     

K3-free图的线图的哈密顿性

设G是一个简单图，Gi G，G1在G中的度定义为d（Gt）=∑v∈v（c）d（v），其中d（v）为v在G中的度数。本文的主要结果是：设G是n≥2阶几乎无桥的简单连通K3-free图，且G≌k1,n-1、Q1和Q2，若对G中任何同构于四个顶点路的导出子图I有d（I）≥n＋2，则G有一个D-闭迹，从而G的线图L（G）是哈密顿图。     

Synthesis, Characterization and Catalytic Properties of Zeolite [B, Al, Ga, Fe]-ZSM-5

Zeolite [B,Al, Ga, Fe]-ZSM-5, containing several heteroatoms, was synthesized for the first time under. hydrothermal conditions. Characterization of the sample using various techniques such as XRD, IR, ESR, TG-DTA, SEM and XRF indicates that the heteroatoms are located in the framework, similar to the situations of the heteroatoms present in the zeolites [B]-, [Al]-, [Ga]- and [Fe]-ZSM-5. The study of the catalytic properties for reactions of cracking and dehydrogenation of ethylbenzene reveals that the heteroatoms function independently and there are no mutual interactions between the heteroatoms.     

Preface

The following morphic characterization of EOL languages is established. The family of EOL languages equals the family of all languages of the form h(L∩R) where h is a morphism, R is a regular language and L is the maximal solution of an equation $\text{?(X) = g(X)}$, where ? is a morphism, g is a coding and X is a language variable. It is shown that if g is allowed to be a weak coding, then a larger family of languages is obtained, which however is strictly contained in the family of ETOL languages.     

垒下熔合裂变中观察到的异常

测量了¹⁶O+²³²Th、²³⁸U和¹⁹F+²³²Th近垒和垒下熔合裂变截面以及碎片角分布.包含靶核静态形变的耦合道理论解释了垒下熔合截面增强,预言了复合核系统自旋分布展宽.而实验上观察到的碎片角分布各向异性明显与裂变统计理论的预言不一致.     

High resolution NMR in solids; A simple and improved ‘magic angle’ probe design for conventional small gap 13C FT spectrometers

The mechanical and electronic design of a ‘magic angle’ NMR probe is described. This probe can be incorporated in a conventional small gap ¹³C FT spectrometer, without any hardware or software change, to obtain high resolution ¹³C NMR spectra on organic solids. A simple way of tuning the homogeneity and adjusting the angle is also proposed. Illustrative experimental results on various types of molecular crystals with different molecular mobilities, a clathrate compound and a polymer are discussed.     

Scheduling subject to nonrenewable-resource constraints

Polynomially bounded solution methods are presented to solve a class of precedence constrained scheduling problems in which each job requires a certain amount of nonrenewable resource that is being consumed during its execution.