On a weighted core inverse in a ring with involution

We define and investigate the e-core inverse and f-dual core inverse in a ring with involution as extensions of the core and dual core inverse, respectively. Using these definitions, we present and characterize the e-core partial order and the f-dual core partial order. We describe the sets of all elements a Rickart ?-ring which are below a given element under the e-core and f-dual core partial order. New characterizations of weighted-EP elements are given too.     

Characterizations of m-EP elements in rings

Let R be a ring with involution. In this paper, we extend the notions of m-EP matrices and m-EP operators to an arbitrary ring case. A number of new characterizations of m-EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore–Penrose inverse, and core inverse. Some properties of 2-EP are also given.     

地质雷达在风火山隧道病害检测中的应用与结果分析

青藏铁路全线开通运营以来,对处于高寒地区的永久冻土隧道之一的风火山隧道的质量状态首次进行了无损检测。风火山隧道处于高寒永久冻土区,隧道全部处于冻岩中,两端洞口主要为砂岩与泥岩,并且为富冰冻土。受到季节性冻融的影响,隧道病害比较突出,主要表现为衬砌裂缝,漏水涌水,衬砌酥松剥落。为了准确地掌握风火山隧道衬砌结构质量状态,本文首次应用于风火山隧道衬砌结构的质量检测。该检测设备一改传统破坏式的检测方法,具有快速、简捷、无损、灵活的特点。通过对现场数据处理分析,可以精确探测衬砌厚度,查明衬砌背后存在的空洞和回填不密实区域。检测结果表明,隧道在高寒恶劣环境中,衬砌总体外观质量尚好,但是在两端洞口段有渗水现象; 衬砌背后空洞缺陷等级为严重地段测线长度为20m,等级为极严重地段测线长度为98m; 衬砌背后回填不密实缺陷等级为严重地段测线长度为41m,等级为极严重地段测线长度为33m。检测结果与实际病害情况基本相符。     

Fiber core mode leakage induced by refractive index variation in high-power fiber laser

This paper presents an investigation of specific optical fiber core mode leakage behavior that occurs in high-power double-clad fiber lasers as a result of thermally-induced refractive index variations. A model of the power transfer between the core modes and the cladding modes during thermally-induced refractive index variations is established based on the mode coupling theory. The results of numerical simulations based on actual laser parameters are presented. Experimental measurements were also carried out, the results showed good agreement with the corresponding simulation results.     

Automatic Identification of Analogue Series from Large Compound Data Sets: Methods and Applications

Analogue series play a key role in drug discovery. They arise naturally in lead optimization efforts where analogues are explored based on one or a few core structures. However, it is much harder to accurately identify and extract pairs or series of analogue molecules in large compound databases with no predefined core structures. This methodological review outlines the most common and recent methodological developments to automatically identify analogue series in large libraries. Initial approaches focused on using predefined rules to extract scaffold structures, such as the popular Bemis–Murcko scaffold. Later on, the matched molecular pair concept led to efficient algorithms to identify similar compounds sharing a common core structure by exploring many putative scaffolds for each compound. Further developments of these ideas yielded, on the one hand, approaches for hierarchical scaffold decomposition and, on the other hand, algorithms for the extraction of analogue series based on single-site modifications (so-called matched molecular series) by exploring potential scaffold structures based on systematic molecule fragmentation. Eventually, further development of these approaches resulted in methods for extracting analogue series defined by a single core structure with several substitution sites that allow convenient representations, such as R-group tables. These methods enable the efficient analysis of large data sets with hundreds of thousands or even millions of compounds and have spawned many related methodological developments.     

On some new paranormed euler sequence spaces and Euler Core

In this paper, the sequence spaces e0^τ（u, p） and ec^τ（u, p） of non-absolute type which are the generalization of the Maddox sequence spaces have been introduced and it is proved that the spaces e0^τ（u,p） and ec^τ（u,p） are linearly isomorphic to spaces co（p） and c（p）, respectively. Furthermore, the α-, β- and γ-duals of the spaces 0^τ（u,p） and ec^τ（u,p） have been computed and their bases have been constructed and some topological properties of these spaces have been investigated. Besides this, the class of matrices （e0^τ）（u, p） ： μ） has been characterized, where μ is one of the sequence spaces l∞, c and co and derives the other characterizations for the special cases of μ. In the last section, Euler Core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.     

磁芯负载离子液体凝胶微球的制备、表征及在固定化细胞技术中的应用

选取具有良好生物相容性的壳聚糖(CS)包覆四氧化三铁纳米粒子(Fe₃O₄/CS)作为磁响应材料, 制备了磁芯负载1-丁基-3-甲基咪唑六氟磷酸盐([BMIM]PF₆)凝胶微球; 对Fe₃O₄/CS及磁芯负载离子液体凝胶微球的组成、 结构、 微观形貌和磁性能进行了表征; 将其应用于固定化细胞技术, 在产紫青霉细胞全细胞生物催化甘草酸(GL)合成单葡萄糖醛酸基甘草次酸(GAMG)体系中, 实现了对全细胞生物催化剂和离子液体的快速回收和重复利用. 实验结果表明, 壳聚糖成功包裹Fe₃O₄纳米粒子; Fe₃O₄/CS均匀分布在凝胶微球内部, 并显示出良好的磁性能; 与凝胶微球固定化细胞催化体系相比, 磁芯负载[BMIM]PF₆凝胶微球固定化细胞催化体系中GAMG的产率提高了13.8%; 重复利用实验结果表明, 磁芯负载[BMIM]PF₆凝胶微球固定化产紫青霉细胞在外加磁场的作用下, 易于快速回收, 并且循环再利用9次后相对活性仍保留59.2%.     

化学学科核心素养视角下的中考化学实验探究试题分析

从化学学科核心素养的视角,结合初、高中教学内容和教学方法的衔接,分析成都市近年的中考实验探究题的特点。提出基于化学学科核心素养培养的初中化学教学建议。     

基于发展学生化学核心素养的教学设计——以“沉淀溶解平衡”为例

为了促进学生化学学科核心素养的形成和发展,构建了基于高中化学学科核心素养的教学设计基本思路,提出了4个方面的教学策略：设计教学单元,整体规划素养发展路径;制订教-学-评目标,监测素养达成;设置活动任务,承载素养的发展;创设真实情境,联结素养与知识。并以“沉淀溶解平衡”为主题教学单元进行教学设计,将基于核心素养发展的教学设计思路付诸应用,促进化学核心素养培养目标的达成。