Vertex-Edge Degree Based Indices of Honey Comb Derived Network

Chemical graph theory is a branch of mathematics which combines graph theory and chemistry. Chemical reaction network theory is a territory of applied mathematics that endeavors to display the conduct of genuine compound frameworks. It pulled the research community due to its applications in theoretical and organic chemistry since 1960. Additionally, it also increases the interest the mathematicians due to the interesting mathematical structures and problems are involved. The structure of an interconnection network can be represented by a graph. In the network, vertices represent the processor nodes and edges represent the links between the processor nodes. Graph invariants play a vital feature in graph theory and distinguish the structural properties of graphs and networks. In this paper, we determined the newly introduced topological indices namely, first -degree Zagreb index, first -degree Zagreb index, second -degree Zagreb index, -degree Randic index, -degree atom-bond connectivity index, -degree geometric-arithmetic index, -degree harmonic index and -degree sum-connectivity index for honey comb derived network. In the analysis of the quantitative structure property relationships (QSPRs) and the quantitative structureactivity relationships (QSARs), graph invariants are important tools to approximate and predicate the properties of the biological and chemical compounds. Also, we give the numerical and graphical representation of our outcomes.     

Novel model reference adaptive control architecture using semi‐initial excitation‐based switched parameter estimator

This paper is a generalization of the recently developed techniques of initial excitation (IE)–based adaptive control with an introduction to the definition of semi‐initial excitation (semi‐IE), a still more relaxed notion than IE. Classical adaptive controllers typically ensure Lyapunov stability of the extended error dynamics (tracking error + parameter estimation error) and asymptotic tracking, while requiring a stringent condition of persistence of excitation (PE) for parameter convergence. Of late, the authors have proposed a new adaptive control architecture, which guarantees parameter convergence under the online‐verifiable IE condition leading to exponential stability of the extended error dynamics. In earlier works, it has been established that the IE condition is significantly milder than the classical PE condition. The current work further slackens the excitation condition by proposing the concept of semi‐IE. The proposed adaptive controller is proved to ensure convergence of the parameter estimation error to a lower‐dimensional manifold under the weaker semi‐IE condition, while the stronger condition of IE guarantees convergence of the parameter estimation error to zero. The designed algorithm is shown to improve transient response of tracking error sufficiently in contrast to conventional adaptive controllers.     

Automated delineation of non-small cell lung cancer: A step toward quantitative reasoning in medical decision science

Quantitative reasoning in medical decision science relies on the delineation of pathological objects. For example, evidence-based clinical decisions regarding lung diseases require the segmentation of nodules, tumors, or cancers. Non-small cell lung cancer (NSCLC) tends to be large sized, irregularly shaped, and grows against surrounding structures imposing challenges in the segmentation, even for expert clinicians. An automated delineation tool based on spatial analysis was developed and studied on 25 sets of computed tomography scans of NSCLC. Manual and automated delineations were compared, and the proposed method exhibited robustness in terms of the tumor size (5.32–18.24 mm), shape (spherical or irregular), contouring (lobulated, spiculated, or cavitated), localization (solitary, pleural, mediastinal, endobronchial, or tagging), and laterality (left or right lobe) with accuracy between 80% and 99%. Small discrepancies observed between the manual and automated delineations may arise from the variability in the practitioners' definitions of region of interest or imaging artifacts that reduced the tissue resolution.     

基于关键拓扑变动项辨识的调度操作潮流校核方法

为解决传统调度操作潮流校核中的有效性问题，定义了一种面向调度操作的关键拓扑变动概念，提出并实现了基于关键拓扑变动辨识的调度操作潮流校核方法。首先，剖析了调度操作安全校核的实施目的，围绕其运行断面潮流校验的校核目的，定义了面向调度操作的关键拓扑变动概念，并基于网络拓扑连接关系设计了其辨识方法。在此基础上，提出了基于关键拓扑变动项辨识的调度操作潮流校核方法，明确了其实施流程和要点。最后基于当前电网调度自动化系统实际，构建了其实施框架，并介绍了其在某电网的实施效益。     

基于拓扑单向波导的电磁诱导透明效应研究

为了研究电磁诱导透明效应在拓扑单向波导中的表现，设计了一种基于磁性光子晶体的耦合谐振腔波导。通过对谐振腔位置的调控实现了具有单向性质的电磁诱导透明效应，并利用有限时域差分仿真证明了电磁诱导透明效应在单向拓扑波导中的相关特性。该研究可为拓扑波导中实现光延迟、光开关等提供参考。     

A short guide to topological terms in the effective theories of condensed matter

This article is meant as a gentle introduction to the topological terms that often play a decisive role in effective theories describing topological quantum effects in condensed matter systems. We first take up several prominent examples, mainly from the area of quantum magnetism and superfluids/superconductors. We then briefly discuss how these ideas are now finding incarnations in the studies of symmetry-protected topological phases, which are in a sense a generalization of the concept of topological insulators to a wider range of materials, including magnets and cold atoms.     

基于不可靠通信链路的数据共享模块

随着企业规模的逐步扩大和计算机网络与企业信息技术的飞速发展，大中型企业陆续建立了很多业务系统，对各个系统之间数据同步的安全性提出了更高的需求。针对此需求，基于RabbitMQ消息队列中间件，本文设计并实现基于不可靠通信链路的数据共享模块，解决在企业内部两级数据中心之间的双向数据同步问题，并通过RabbitMQ的消息确认机制和持久化机制，保证数据的安全送达、无丢失。经过实践证明，该数据共享模块功能稳定，可提高两级数据中心的数据传输效率并保证其安全性。     

噻吩与小分子间弱相互作用的理论研究

在B3LPY/6-311+G**水平上计算了噻吩与NH3、H2O和HF形成的复合物的结构、能量及氢键关键点处电荷密度拓扑性质。结果表明,噻吩与NH3形成两种弱C-H…N氢键;N被O取代后,除C-H…O氢键外,形成更稳定的O-H…π结构;F取代O时形成强度更大的F-H…S和F-H…π氢键,这表明典型的氢键在电负性较小的分子复合物中较为普遍;在电负性较大的分子复合物中,小分子更倾向于从噻吩平面上方接近噻吩,形成其他类型的氢键和X-H…π氢键。氢键关键点处的电荷密度拓扑性质结果表明,这些氢键强度较弱,为闭壳层相互作用。本文结论为噻吩类超分子功能材料体系的设计和合成提供一定的指导。     

一类捕食-食饵模型渐近稳定性分析

为研究生物体死亡率对恒化器中物种存活、灭绝的影响,提出一种具有死亡率的捕食-食饵恒化器模型。考虑模型常数平衡解的稳定性,得到了平衡解渐近稳定的充分条件。借助一致持久和比较原理研究系统的长时行为,给出了在具有死亡率的恒化器中物种持续生存的培养策略。利用数值模拟进一步论证了所得结果的有效性。