Integral closure,basically full closure,and duals of nonresidual closure operations

We develop a duality for operations on nested pairs of modules that generalizes the duality between absolute interior operations and residual closure operations from [5], extending our previous results to the expanded context. We apply this duality in particular to integral and basically full closures and their respective cores to obtain integral and basically empty interiors and their respective hulls. We also dualize some of the known formulas for the core of an ideal to obtain formulas for the hull of a submodule of the injective hull of the residue field. The article concludes with illustrative examples in a numerical semigroup ring.     

ICRH带状双天线的间距对等离子体耦合特性的影响

采用能量一次吸收假设、等离子体平板模型和三维天线模型数值模拟离子回旋共振加热时带状双天线与等离子体的耦合过程,得到天线的辐射功率、等离子体的吸收功率密度分布随天线间距变化的关系.通过对比分析,得出结论:在一定实验条件下,当带状双天线同相馈电时,天线间距越小,离子回旋共振加热效果越好.     

THE METHOD OF WEIGHTED DIFFERENCE FOR SINGULAR PERTURBATION PROBLEM

In this paper, we introduce a new difference approximation to the first order derivative u′and give a class of uniformly convergent difference schemes.     

Test Problem Generator by Neural Network for Algorithms that Try Solving Nonlinear Programming Problems Globally

A test problem generator, by means of neural networks nonlinear function approximation capability, is given in this paper which provides test problems, with many predetermined local minima and a global minimum, to evaluate nonlinear programming algorithms that are designed to solve the problem globally.     

Decision and approximation complexity for identifying codes and locating-dominating sets in restricted graph classes

An identifying code is a subset of vertices of a graph with the property that each vertex is uniquely determined (identified) by its nonempty neighbourhood within the identifying code. When only vertices out of the code are asked to be identified, we get the related concept of a locating-dominating set. These notions are closely related to a number of similar and well-studied concepts such as the one of a test cover. In this paper, we study the decision problems Identifying Code and Locating-Dominating Set (which consist in deciding whether a given graph admits an identifying code or a locating-dominating set, respectively, with a given size) and their minimization variants Minimum Identifying Code and Minimum Locating-Dominating Set. These problems are known to be NP-hard, even when the input graph belongs to a number of specific graph classes such as planar bipartite graphs. Moreover, it is known that they are approximable within a logarithmic factor, but hard to approximate within any sub-logarithmic factor. We extend the latter result to the case where the input graph is bipartite, split or co-bipartite: both problems remain hard in these cases. Among other results, we also show that for bipartite graphs of bounded maximum degree (at least 3), the two problems are hard to approximate within some constant factor, a question which was open. We summarize all known results in the area, and we compare them to the ones for the related problem Dominating Set. In particular, our work exhibits important graph classes for which Dominating Set is efficiently solvable, but Identifying Code and Locating-Dominating Set are hard (whereas in all previous works, their complexity was the same). We also introduce graph classes for which the converse holds, and for which the complexities of Identifying Code and Locating-Dominating Set differ.     

基于碳量子点和罗丹明B的新型比率荧光试纸片检测水中Hg(Ⅱ)

水环境中Hg(Ⅱ)的污染对生态环境和人类健康危害极大,目前Hg(Ⅱ)的检测主要有原子光谱/质谱和电化学等方法,但存在检测仪器昂贵、操作繁琐及前处理复杂等缺点,难以在日常水环境中微量Hg(Ⅱ)现场检测的应用。因此,建立一种灵敏、准确、快捷和经济的水中Hg(Ⅱ)检测方法具有重要意义。试纸法是将普通的化学反应从玻璃仪器转移到试纸上进行的一种快速检测方法,利用试剂与目标物之间产生的化学反应,通过颜色的变化可对目标物进行定性或半定量检测,具有操作简便、快速等优点。碳量子点是一类粒径小于10 nm的碳基纳米材料,具有优异的荧光性能、较低的毒性和较高的化学稳定性。利用Hg(Ⅱ)对碳量子点的荧光具有灵敏和高效的猝灭作用,构建了一种双色比率荧光试纸片用于快速检测水中微量Hg(Ⅱ)的含量。其中,采用氮掺杂水溶性碳量子点（NCDs）作为荧光响应信号、罗丹明B（RhB）作为荧光内标信号,在单一波长（355 nm）激发下产生位于440和580 nm的双色荧光发射峰。当体系加入不同浓度Hg(Ⅱ)后,NCDs表面官能团与Hg(Ⅱ)之间的静电作用和金属配位协同作用使荧光发生猝灭,而RhB的荧光信号保持不变,利用440和580 nm双色荧光信号或其强度的比值（F₄₄₀/F₅₈₀）,可实现对微量Hg(Ⅱ)的快速检测。实验对检测条件进行了优化,结果表明在HAc-NaAc缓冲液浓度为1 mmol·L-1、pH为7的条件下,F₄₄₀/F₅₈₀值与Hg(Ⅱ)浓度（0～3 μmol·L-1）呈现良好的线性关系,线性方程为F₄₄₀/F₅₈₀=-0.785 2ｃ_Hg(Ⅱ)+3.103 8,相关系数r＞0.99,以3倍标准偏差计算的检出限为2.7 nmol·L-1(n=9)。对湖水与自来水中Hg(Ⅱ)进行加标回收实验,其加标回收率在91.9%～117.9%之间,说明该方法灵敏、准确,能用于水中Hg(Ⅱ)的检测。同时,将NCDs和RhB浸渍于尼龙片上构建了双色比率荧光检测试纸片,在紫外灯（365nm）照射下可观测到试纸发射淡蓝紫色荧光。而随着Hg(Ⅱ)浓度的增加,荧光颜色从淡蓝紫色到橙色发生变化,每次检测时间只需3分钟,裸眼可检出Hg(Ⅱ)浓度低至10 nmol·L-1,实现了对水中微量Hg(Ⅱ)的灵敏、快速检测。此外,该方法对Hg(Ⅱ)的检测表现出良好的特异性。因此,基于碳量子点和罗丹明B构建的双色比率荧光试纸片具有携带方便、操作简单,以及灵敏和快速等优点,为水中微量Hg(Ⅱ)的快速检测提供了新的方法和思路。     

Redesign of a soft conductive rubber strip electrode for measurement of surface resistance according to IEC 60079-32-2 within the context of the PTB Ex Proficiency Testing Scheme

To ensure worldwide quality and homogeneity in the field of explosion protection, not only uniform rules in the form of IEC standards but also the active participation in interlaboratory comparisons are necessary. The “PTB Ex Proficiency Testing Scheme” is the first global proficiency testing program of its kind in the field of explosion protection. It serves as proof of competence and provides laboratories with a complete system for their own performance evaluation.In 2015, the program “Electrostatic Charge - Test Round 2015” was launched within the PTB Testing Scheme. The participants of the program performed surface resistance and transferred charge tests according to IEC 60079-0 and IEC 60079-32-2 on various types of test samples. The new standard IEC 60079-32-2 proposes different kinds of electrodes for the user, such as conductive silver paint electrodes, soft conductive rubber strip electrodes on spring-mounted metal tongues or conductive foam strips mounted on an insulating support, depending on the geometry of the sample. These different types of electrodes as well as the construction latitude for each electrode could lead to deviations between the results of different test laboratories due to better or worse electrode contact with the test sample.Therefore, the proficiency team and electrostatic experts at PTB decided to design an accurate and user-friendly electrode which meets the requirements of IEC 60079-32-2. This paper provides information about the electrodes' design as well as the results of comparable measurements.     

Dynamic modelling and simulation of a hot strip finishing mill

Hot rolling is an essential industrial process in the production of sheet steel, a widely used product in manufacturing and construction. A finishing mill performs a set of operations in a hot strip rolling mill, and is a complex unit including many processes and control loops. Its modelling is a challenging task due to the variety of phenomena that occur within the mill, and variable transport delays. Model validation is also challenging due to a scarcity of measurements. On the other hand, a dynamic model that adequately reflects the numerous interactions between the mill units can be very useful for tasks such as high performance control design or vibration analysis. In this study, a one-dimensional model has been developed and validated against real plant data. The end use of the model is intended to be looper control analysis, but the model is kept sufficiently general so that it can be used or easily extended for other applications.     

基于连续光谱分析的在线水质检测信号处理研究

在线光谱水质检测仪器是现代水资源环境监测技术的重要发展方向之一,具有多参数监测和准确度高、重复性好的技术优势,然在线被测水样的光谱信号处理是其关键核心技术,为此,基于连续光谱分析,建立了在线被测水样光谱测量信号的数学模型,提出了基于双波长光强比值不变性的光谱测量信号系统误差处理方法,并结合小波多分辨率滤波噪声处理技术,系统研究了基于在线被测水质参数光谱特征的背景干扰处理方法。以上信号处理方法应用于自主研制的多参数光谱水质监测仪器,在线检测标准环境水样及实际环境水样中的化学需氧量、六价铬和阴离子表面活性剂等水质参数,并与国家标准分析方法展开了现场对比测试,仪器的关键参数重复性(相对标准偏差RSD≤10%)与准确度(实际水样比对试验相对误差A≤10%)均达到并优于国家环境保护技术标准要求,表明该信号处理方法能够有效消除在线水质检测光谱测量信号的系统误差及噪声与背景干扰,对于提升光谱水质监测仪器的技术性能具有重要的作用。     

Remarkable room‐temperature magnetoresistance in silicon strip devices

In this paper, we report remarkable room‐temperature magnetoresistance (MR) in silicon strip devices. Saturating and non‐saturating MRs can be realized based on the measuring configurations with one top contact and ten top contacts, respectively. Using the one‐top‐contact measurement, a saturating MR ratio of ～400% is obtained at an applied voltage of only 1.0 V when the magnetic field is larger than 0.8 T. While the non‐saturating MR is achieved in the ten‐top‐contact measurement and the MR ratio is only ～155% for the 1.0 V applied voltage even under the magnetic field of 1.2 T. The differences for MR ratio values and change trends in these two measuring configurations are attributed to the enhanced Hall electric field with the increase of the top contact number.