Unit Interval Graphs of Open and Closed Intervals

We give two structural characterizations of the class of finite intersection graphs of the open and closed real intervals of unit length. This class is a proper superclass of the well‐known unit interval graphs.     

盐酸掺杂制备导电性聚苯胺的工艺优化研究

掺杂是获得高导电性聚苯胺的重要手段.本文采用盐酸进行掺杂,通过实验研究了不同条件下盐酸掺杂对聚苯胺基本性能的影响,优化了制备聚苯胺的工艺条件.当过硫酸铵与苯胺比为1时,聚合产率高达66.14%;当盐酸浓度为1.5mol/L时,室温下反应12h导电性最好.制备了聚苯胺样品,并对样品进行了FT-IR、SEM、XRD测试.结果均表明盐酸掺杂聚苯胺的反应主要发生在醌环上,掺杂后聚苯胺有一定的结晶性,且呈微纳米颗粒状、分布均匀,电导率达到1.29S·cm~(-1).正交试验得出的优化工艺为:盐酸浓度为1.0mol·L~(-1),氧化剂与苯胺单体摩尔比为1∶1,室温条件下反应4h.     

关于Hutton定理的一个注

本文证明了存在一个一一对应$\varphi: {\cal J}\cup{\cal J}'\longrightarrow\delta\cup\delta'$,它满足: \ \ (1) $\varphi|{\cal J}: ({\cal J},\subset)\longrightarrow(\delta,\leq)$是frame同构. \ \ (2) $\varphi|{\cal J}': ({\cal J}',\subset)\longrightarrow(\delta',\leq)$是coframe同构.     

Estimation of the coefficients of a diffusion from discrete observations

Estimating the parameters of a diffusio,. we give a measure of the loss of information due to discretization, when the sampling interval is. We emphasize differences that depend on whether σ² is known or unknown.     

基于联系数贴近度的区间数多属性决策方法

利用集对分析和联系数学理论对区间数多属性决策方法进行了研究.首先给出了联系数贴近度的定义和性质;然后在将区间数决策矩阵转化为联系数决策矩阵的基础上,依据传统的逼近理想解的排序方法(TOPSIS)的基本思路,基于联系数贴近度提出了一种区间数多属性决策新方法.该方法简洁直观,易于计算,无需对区间数进行排序;最后,通过算例表明了它的有效性和实用性.     

On the boundedness of outer polyhedral estimates for reachable sets of linear systems

New properties of outer polyhedral (parallelepipedal) estimates for reachable sets of linear differential systems are studied. For systems with a stable matrix, it is determined what the orientation matrices are for which the estimates possessing the generalized semigroup property are bounded/unbounded on an infinite time interval. In particular, criteria are found (formulated in terms of the eigenvalues of the system’s matrix and the properties of bounding sets) that guarantee for previously mentioned tangent estimates and estimates with a constant orientation matrix that either there are initial orientation matrices for which the corresponding estimate tubes are bounded or all these tubes are unbounded. For linear stationary systems, a system of ordinary differential equations and algebraic relations is derived that determines estimates with constant orientation matrices for reachable sets that have no generalized semigroup property but are tangent and also bounded if the matrix of the system is stable.     

Kinetics of radiation-induced carbonization of poly(vinylidene fluoride) film surface

The kinetics of radiation-induced carbonization of PVDF surfaces aiming at carbyne (one-dimensional carbon allotrope) synthesis have been studied. A sample of poly(vinylidene fluoride) film was exposed to Mg Kα radiation (?ω = 1253.6 eV) in an ESCALAB Mk II spectrometer for 14 h with the aim of surface carbonization. Some 221 spectra of C 1s electrons were measured and expanded using 7 Gaussian curves to reveal and identify species being created on the film surface during its carbonization. A decrease in the content of CF₂ groups, the emergence of CF species in two different states, and growth of a number of fluorine-free carbon atoms have been detected. Simultaneous variations of CH/CH₂, CF and CF₂ peaks suggest elimination of H and F atoms as HF. A proposed model shows three probabilistic factors affecting the rate of degradation, one of which remains uncertain.     

Trapezoidal and triangular approximations preserving the expected interval

In this paper, an improvement of the nearest trapezoidal approximation operator preserving the expected interval is studied, which is proposed by Grzegorzewski and Mrówka. A formula for computing the improved approximation is presented. Moreover, the nearest triangular approximation operator preserving the expected interval is also investigated.     

Bootstrap and empirical likelihood methods in extremes

One of the major interests in extreme-value statistics is to infer the tail properties of the distribution functions in the domain of attraction of an extreme-value distribution and to predict rare events. In recent years, much effort in developing new methodologies has been made by many researchers in this area so as to diminish the impact of the bias in the estimation and achieve some asymptotic optimality in inference problems such as estimating the optimal sample fractions and constructing confidence intervals of various quantities. In particular, bootstrap and empirical likelihood methods, which have been widely used in many areas of statistics, have drawn attention. This paper reviews some novel applications of the bootstrap and the empirical likelihood techniques in extreme-value statistics. Dedicated to Professor Laurens de Haan on the occasion of his 70th birthday.