Nonhomogeneous markov chains with desired properties - the nearest markovian model

A new class of operators performing an optimization (optimization operators or, simply, optimators) which generate transition matrices with required properties such as ergodicity, recurrence etc., is considered and their fundamental features are described. Some criteria for comparing such operators by taking into account their strenght are given and sufficient conditions for both weak and strong ergodicity are derived. The nearest Markovian model with respect to a given set of observed probability vectors is then defined as a sequence of transition matrices satisfying certain constraints that express our prior knowledge about the system. Finally, sufficient conditions for the existence of such a model are given and the related algorithm is illustrated by an example.     

On the current distribution in a shielded superconducting film

The current distribution is investigated theoretically in a shielded superconducting film, which is a film deposited on an insulating superconducting ground plate. An exact result is obtained in the case of a thin and wide film on the basis of London's equation.     

About Nonassociativity in Mathematics and Physics

A short review about nonassociative algebraic systems (mainly nonassociative algebras) and their physical applications is presented. We begin with some motivations, then we give a brief historical overview about the formation and development of the concept of hypercomplex number system and about some earlier applications. The main directions discussed are the octonionic, Lie-admissible, and quasigroup approaches. Also, some problems investigated in Tartu, the octonionic approach, Moufang–Mal'tsev symmetry, and associator quantization are discussed. This review does not pretend to be complete as the accent is placed on ideas and not on the techniques, also the references are quite sporadic (there are many authors and results mentioned in the text without references).     

Wasserbestimmung in Phenolen durch Karl-Fischer-Titration

Summary Karl Fischer titration can be applied to many phenols without any interference, though some are oxidized during titration. One-component reagents are to be preferred because they are less sensitive to interferences. Only pyrogallol and aminophenols are oxidized in this case. With two-component reagents dihydroxybenzenes and naphthols are oxidized, too. With coulometric titration interferences are more frequent. The oxidation rate depends on the pH and can be suppressed or minimised by adding salicylic acid to the Karl Fischer reagent.     

A perturbation scheme for spherical arrangements with application to molecular modeling

We describe a software package for computing and manipulating the subdivision of a sphere by a collection of (not necessarily great) circles and for computing the boundary surface of the union of spheres. We present problems that arise in the implementation of the software and the solutions that we have found for them. At the core of the paper is a novel perturbation scheme to overcome degeneracies and precision problems in computing spherical arrangements while using floating point arithmetic. The scheme is relatively simple, it balances between the efficiency of computation and the magnitude of the perturbation, and it performs well in practice. In one O(n) time pass through the data, it perturbs the inputs necessary to insure no potential degeneracies and then passes the perturbed inputs on to the geometric algorithm. We report and discuss experimental results. Our package is a major component in a larger package aimed to support geometric queries on molecular models; it is currently employed by chemists working in “rational drug design”. The spherical subdivisions are used to construct a geometric model of a molecule where each sphere represents an atom.     

纳米TiO_2薄膜的低温等离子体制备技术

以四氯化钛为源物质,氩气为载气,氧气为反应气体,利用低温等离子体增强化学气相沉积在硅基表面制备出了TiO2薄膜。使用场发射扫描电子显微镜、X射线衍射仪等检测分析表征TiO2薄膜的性能与性质,并探讨了工艺条件如基片材料、沉积时间和基片温度对薄膜性能的影响。结果表明:制备的薄膜表面光滑均匀,结构致密,最小晶粒尺寸约15 nm;薄膜的晶型主要依赖于沉积温度,低于300℃沉积的薄膜是无定形的,300℃之上沉积的薄膜是锐钛矿结构。     

MRC装置冷剂量改变时系统动态特性的仿真模型

向混合制冷剂循环(MRC,Mixture Refrigerant Cycle)装置中充注冷剂或冷剂发生泄漏或排放,会改变装置的运行工况。对此规律的研究与掌握,对装置的设计和操作运行有重要的指导意义。基于工艺模拟、质量守恒及装置的内在工作特性,建立了能对这一动态特性进行模拟的数学模型,并针对一简单的SMR流程对充注C1、C5冷剂时系统运行工况的变化进行了模拟研究。     

离子色谱测定土壤中Cl-和SO2-4

介绍了离子色谱法测定土壤中Cl-和SO2-4的可行性以及相关的前处理方法,通过一定前处理方法,减少土壤中杂质对测定的干扰和对色谱柱的污染.有效选取提取液的种类和浓度及提取时间,准确测定了土壤中Cl-和SO2-4含量.Cl-和SO2-4的相对标准偏差分别为2.70%、2.89%,检出限分别为0.1950、0.2230μg·mL-1,平均回收率分别为106.7%,95.8%.方法简便,快速、灵敏度高.     

离子色谱测定土壤中Cl~-和SO_4~(2-)

介绍了离子色谱法测定土壤中Cl-和SO24-的可行性以及相关的前处理方法,通过一定前处理方法,减少土壤中杂质对测定的干扰和对色谱柱的污染。有效选取提取液的种类和浓度及提取时间,准确测定了土壤中Cl-和SO42-含量。Cl-和SO42-的相对标准偏差分别为2.70%、2.89%,检出限分别为0.1950、0.2230μg.mL-1,平均回收率分别为106.7%,95.8%。方法简便,快速、灵敏度高。     

利用重离子辐照技术制备锂离子电池隔膜

用能量11.4MeV/u和注量1×108ions/cm2的197Au离子垂直辐照聚丙烯薄膜,通过电导测量法监测温度、硫酸浓度和重铬酸钾浓度对径迹蚀刻速率的影响,得到合适的蚀刻条件;成功制备出孔径范围在600—1000nm的重离子径迹聚丙烯孔膜,并用场发射扫描电镜对孔的形状及孔径大小进行了表征,对孔洞锥角的形成进行了分析,为重离子辐照技术制备锂离子电池隔膜提供了实验数据。