Novel Distance-Related Matrix Index and QSPR Research for Thermodynamics of Methyl Halides

A novel topological index W F is defined by the matrices X,W and L as W F=XWL.The topological index WF based on the distance-related matrix of molecular graphs is used to code the structural environment of each atom-type in a molecular graph.Good QSPR models have been obtained for standard formation enthalpy of methyl halides.The result indicates that the idea of using multiple matrices to define the distance-related matrix topological index is valid.

Transmission Index Research of Parallel Manipulators Based on Matrix Orthogonal Degree

Performance index mance evaluation, and is the is the standard of perfor- foundation of both perfor- mance analysis and optimal design for the parallel manipulator. Seeking the suitable kinematic indices is always an important and challenging issue for the parallel manipulator. So far, there are extensive studies in this field, but few existing indices can meet all the requirements, such as simple, intuitive, and universal. To solve this problem, the matrix orthogonal degree is adopted, and generalized transmission indices that can evaluate motion/force trans- missibility of fully parallel manipulators are proposed. Transmission performance analysis of typical branches, end effectors, and parallel manipulators is given to illus- trate proposed indices and analysis methodology. Simula- tion and analysis results reveal that proposed transmission indices possess significant advantages, such as normalized finite （ranging from 0 to l）, dimensionally homogeneous, frame-free, intuitive and easy to calculate. Besides, pro- posed indices well indicate the good transmission region and relativity to the singularity with better resolution than the traditional local conditioning index, and provide a novel tool for kinematic analysis and optimal design of fully parallel manipulators.

Discussions on the Relation between Rank and the Number of Non-zero Eigenvalue of Matrix

This paper gives the rank of matrix and equalities and inequalities of the difference number of non-zero eigenvalue, and discuss the equivalent description of multi angle of equalities for upper and lower bounds of the inequality.

Comparing of Aviation Network Structure of Mid-south,Northwest and Southwest of China Based on Hierarchical Index Model

In order to compare the aviation network of mid-south,northwest and southwest of China to reveal the structure similarity and difference for providing quantitative evidence to construct regional aviation network and improve its structure,hierarchical index model of regional aviation network was established through dividing the aviation network into layers to research its structure characters.Data matrixes were defined to record the basic state of regional aviation network.Index matrixes were constructed to describe the quantitative features of regional aviation network.On the basis of these indexes,several structure indexes of all layers of aviation network were calculated to show the structure features of aviation network,such as ratio of passenger volume within the region with across the region,share rate of passenger volume among layers,ratio of average number of airline for each airport,ratio of average passenger volume for each airline and ratio of airline rate.According to the statistical data,similar structure of share rate of passenger volume among layers and average passenger volume for each airline in their regional aviation network was found after calculating.But on the side of ratio of passenger volume within the region with across the region,ratio of average number of airlines for each airport and ratio of airline rate were different.

Solution of Matrix Game with Triangular Intuitionistic Fuzzy Pay-Off Using Score Function

Using score function in a matrix game is very rare. In the proposed paper we have considered a matrix game with pay-off as triangular intuitionistic fuzzy number and a new ranking order has been proposed using value judgement index, available definitions and operations. A new concept of score function has been developed to defuzzify the pay-off matrix and solution of the matrix game has been obtained. A numerical example has been given in support of the proposed method.

Reforming of Wiener Index

Based on distance matrixW, the novel topological indexW F is defined by the matricesX, W, L, asW F=WXL. WhereX is a row matrix, which expresses the bonding characteristics between adjacent atoms;L is a column matrix expressing the characteristic of vertexes in molecules;W is a distance matrix, which expresses the chemical environment of the atoms in the molecule. the properties, the chemical environments and the interaction of the vertexes in a molecule are taken into account in this definition. Hence the application of the indexW F to multiple bonds and heteroatomcontaining organic systems or inorganic systems is possible. Good correlation coefficients are achieved not only in the prediction of the standard formation enthalpy of methyl halides, titanium halides, but also the retention index of gas chromatography of the hydrocarbons. Key words distance matrix - Wiener index - QSPR - organic systems - inorganic systems CLC number O 651 Foundation item: Supported by the National Natural Science Foundation of China (20177018) and the Educational Bureau Foundation of Hubei (2003B001)Biography: Huang Yun-ping (1963-), female, Professor, research direction: biophysical chemistry

Influential Observations in Stochastic Model of Divisia Index Numbers with AR(1) Errors

We use the general form of hat matrix and DFBETA measures to detect the influential observations in order to estimate the Divisia price index number when the error structure is first order serial correlation. An example is presented with reference to price data of Pakistan. Hat values show the noteworthy findings that the corresponding weights of consumer items have large influence on the parameter estimates and are not affected by the parameter of autoregressive process AR(1). Whereas DFBETAs for Divisia index numbers depend on both the weights and autoregressive parameter.

经鼻加温湿化高流量氧疗对重症肺炎患儿血气指标、MMP-9及TNF-α的影响

目的 探讨经鼻加温湿化高流量氧疗(HFNC)治疗小儿重症肺炎的疗效及对血气指标、基质金属蛋白酶9(MMP-9)、肿瘤坏死因子α(TNF-α)的影响。方法 选取2018年5月—2020年8月河北省人民医院收治的123例重症肺炎患儿作为研究对象,按照随机抽样法分为观察组(HFNC治疗,n=62)与对照组(面罩吸氧治疗,n=61)。对比两组临床症状、动脉血二氧化碳分压(PaCO_(2))、血氧分压(PaO_(2))、TNF-α、MMP-9、血氧饱和度/吸入氧浓度与呼吸频率的比值(ROX指数)。结果 观察组的退热时间、体征消失时间、咳嗽咳痰消失时间、住院时间分别为(5.21±1.02)d、(10.02±1.32)d、(7.41±0.96)d、(9.02±2.69)d,均短于对照组(t=5.688、10.332、10.253、2.180,P<0.05)。观察组治疗后2、6、12、24 h的ROX指数分别为(6.31±1.62)、(9.85±1.96)、(11.65±2.39)、(13.46±3.25),均高于对照组(t=2.467、3.380、4.251、4.902,P<0.05);治疗后,观察组的PaCO_(2)(35.69±5.21)mmHg低于对照组,而PaO_(2)(87.52±18.69)mmHg高于对照组(t=2.379、4.647,P<0.05);治疗后,观察组的MMP-9、TNF-α分别为(6.32±1.05)pg/mL、(10.40±1.30)pg/mL,低于对照组(t=13.425、13.060,P<0.05)。结论 HFNC用于重症肺炎患儿中具有显著效果,有利于改善患儿血气指标,降低MMP-9、TNF-α水平。

Condensed Matrix Descriptor for Protein Sequence Comparison

The present paper develops a novel way of reducing a protein sequence of any length to a real symmetric condensed 20 × 20 matrix. This condensed matrix can be nicely applied as a protein sequence descriptor. In fact, with such a condensed representation, comparison of two protein sequences is reduced to a comparison of two such 20 × 20 matrices. As each square matrix has a unique Alley Index/normalized Alley Index, such index is conveniently used in getting distance matrix to construct Phylogenetic trees of different protein sequences. Finally protein sequence comparison is made based on these Phylogenetic trees. In this paper three types viz., NADH dehydrogenase subunit 3 (ND3), subunit 4 (ND4) and subunit 5 (ND5) of protein sequences of nine species, Human, Gorilla, Common Chimpanzee, Pygmy Chimpanzee, Fin Whale, Blue Whale, Rat, Mouse and Opossum are used for comparison.

Extracting the Influential Commodities in Stochastic Model of Simple Laspeyre Price Index Numbers with AR(2) Errors

This paper, on the first hand, deals with the problem of estimation of Laspeyre price index number when the errors are assumed to be generated from AR(2) process. The general expression of hat matrix and DFBETA measure to find the influential consumer commodities in stochastic Laspeyre price model with AR(2) errors are developed on the other. The hat values show the noteworthy findings that the corresponding weights of consumer items have large influence on the parameter estimates for simple Laspeyre price index number and are not affected by the parameter of autoregressive process of order two. While, DFBETA measures are the functions of both weights and autocorrelation parameters. Lastly, an example is presented with reference to price data of Pakistan, and shows its practical importance in financial time series.

Analysis of the nonlinear dynamic characteristics of two-phase flow based on an improved matrix pencil method

Gas–liquid two-phase flow is complex and has uncertainty in phase interfaces, which make the two-phase flow look very complicated. Even though the flow behavior(e.g. coalescence, crushing and separation) of single bubble or bubble groups in the liquid phase looks random, combining some established characteristics and methodologies can find regularities among the randomness. In order to excavate the nonlinear dynamic characteristics of gas–liquid two-phase flow, the authors developed an improved matrix pencil(IMP) method to analyze the pressure difference signals of the two-phase flow. This paper elucidates the influence of signal length on MP calculation results and the anti-noise-interference ability of the MP method. An IMP algorithm was applied to the fluctuation signals of gas–liquid two-phase flow to extract the mode frequency and damping ratio, which were combined with the component energy index(CEI) entropy to identify the different flow patterns. It is also found that frequency, damping ratio, CEI entropy and stability diagram together not only identify flow patterns, but also provide a new way to examine and understand the evolution mechanism of physical dynamics embedded in flow patterns. Combining these characteristics and methods, the evolution of the nonlinear dynamic physical behavior of gas bubbles is revealed.

Schedule Model for Project Portfolio Based on Design Structure Matrix

To improve the enterprise resource utilization and shorten the cycle of the whole project portfolio, a scheduling model based on Design Structure Matrix （DSM） is built. By setting the project activity weight index system and calculating the activity weight for the project portfolio, the constraint relationship between project portfolio information and resource utilization, as the two dimensions of the DSM, are fully reflected in the sched- ule model to determine the order of these activities of project portfolio. A project portfolio example is given to il- lustrate the applicability and effectiveness of the schedule model.

基于TFAHP的电炉企业多维一体化财务模式评价模型

电炉企业的财务由于其参数指标众多,对相关模式评价过程不能运用单一阈值理论,评价过程一直是个难题。设计基于TFAHP的电炉企业多维一体化财务模式评价模型。通过微观模拟电炉企业财务工资过程,确定评价指标,由此构建模糊评价矩阵,依据模糊评价矩阵,构建二级评价矩阵,在单一准则下计算各评价指标的相对权重,采用三角模糊数层次分析法确定总权重,由此构建评价模型,获取评价结果,设定评价等级集合及区间值,给出具体评语等级。实验可知,所构建模型进行多维一体化财务模式评价在电炉企业应用效果较好,评价效率较高。

基于动态专家会议算法的刀具磨损度在线识别

为了提高机床加工过程中刀具磨损度识别准确率,提出基于动态专家会议算法的在线识别方法。分析刀具磨损机制,设计刀具磨损度识别框架;使用CEEMD分解源信号得到IMF分量,并基于IMF分量提取信号的改进I-kazTM系数、功率谱熵、标准差等多指标特征矩阵;针对随机森林算法存在的问题,将决策树视为决策专家,根据专家历史决策准确率动态确定专家决策权,从而设计一种新的动态专家会议算法。经PHM2010刀具磨损数据集验证,多指标特征矩阵在空间分布的类内聚集度、类间区分度均较好;基于动态专家会议算法的刀具磨损识别准确率为98.44%,分别比RF、LS-SVM算法高出了17.19%、11.72%,说明动态专家会议算法在刀具磨损度识别中是有效的。

一种测控装备训练成效评估指标体系构设

文章以雷测装备跟踪无人机训练为主要手段,为有效评估操作手能力水平,从可操作性的角度出发,选取反应时长、总跟踪有效时长、测角精度三个指标要素作为跟踪训练成效评估指标,并用层次分析法求出各指标的权重。该评估指标体系充分遵循了客观性、简明性、独立性和可测性等原则,可消除人为因素的影响,为雷测装备捕获跟踪训练成效评估模型的建立奠定了基础,具有一定的实用价值。

关于矩阵三种典型分裂及应用

本文讨论了矩阵的Cartesian分裂、Jordan分裂、核心-幂零分裂的存在性与唯一性;将Jordan块的主要特性推广到一般矩阵;获得了一般矩阵具有的性质.以上关于矩阵分裂结果充实并深化了矩阵分裂的已有结果,并有助于提高学生学习高等代数及矩阵分析理论与应用的能力,以便为利用矩阵理论解决实际问题奠定了基础.

原发性肝癌患者血清CXCLs、MMPs及外周血炎性反应指标与治疗后短期预后的相关性

目的探究原发性肝癌患者血清CXC趋化因子配体(CXCLs)、基质金属蛋白酶(MMPs)及外周血炎性反应指标与治疗后短期预后的相关性。方法选取2021年9月—2023年9月首都医科大学附属北京佑安医院普外中心收治的原发性肝癌患者117例为研究对象,根据患者治疗后3个月预后情况分为短期预后不良组(n=27)和短期预后良好组(n=90)。检测患者血清CXCLs(CXCL2、CXCL8、CXCL9、CXCL13)、MMPs(MMP-2、MMP-7、MMP-9、MMP-14)水平及外周血炎性反应指标[中性粒细胞/淋巴细胞比值(NLR)、淋巴细胞/单核细胞比值(LMR)、系统免疫炎性指数(SII)];Spearman相关性分析差异性指标与原发性肝癌患者治疗后短期预后不良的相关性;多因素Logistic回归分析原发性肝癌患者治疗后短期预后不良的影响因素。结果短期预后不良组血清CXCL8、CXCL9、CXCL13水平均高于短期预后良好组(t/P=3.876/<0.001、4.779/<0.001、5.434/<0.001);短期预后不良组血清MMP-2、MMP-7、MMP-9、MMP-14水平均高于短期预后良好组(t/P=6.775/<0.001、5.376/<0.001、6.377/<0.001、6.565/<0.001);短期预后不良组SII高于短期预后良好组(t/P=5.569/<0.001);Spearman相关性分析表明,原发性肝癌患者肿瘤长径、多发肿瘤、合并肝硬化、CXCL8、CXCL9、CXCL13、MMP-2、MMP-7、MMP-9、MMP-14、SII与治疗后短期预后不良均呈正相关(r=0.286、0.209、0.200、0.415、0.417、0.420、0.459、0.383、0.493、0.442、0.440,P均<0.05);多因素Logistic回归分析结果显示,血清CXCL8、CXCL9、CXCL13、MMP-2、MMP-7、MMP-9、MMP-14水平及SII升高是原发性肝癌患者治疗后短期预后不良的独立危险因素[OR(95%CI)=1.021(1.009~1.063)、1.043(1.006~1.082)、1.087(1.011~1.170)、1.455(1.045~2.026)、1.096(1.001~1.201)、1.027(1.011~1.074)、1.128(1.083~1.295)、1.044(1.024~1.066)]。结论血清CXCLs、MMPs水平及SII高的原发性肝癌患者治疗后短期预后往往较差,密切监测血清CXCLs、MMPs水平及SII变化对于准确评估原发性肝癌患者预后具有一定临床意义。

基于SUI评估方法的体育场使用效率矩阵评估模型构建及应用初探

大中型体育场的运营问题一直是世界性难题。尤其是为大赛兴建的永久性体育场,除少数体育产业水平较高的欧美国家外,包括我国在内的大多数国家的体育设施都面临赛后利用率低下的问题,其实质是建设标准与运营水平错配。文章在延斯·阿尔姆提出的体育场利用指数基础上,尝试构建体育场使用效率评估模型,从供需匹配角度,解释建设标准错配导致场馆闲置的原因。以场馆运营的行业经验为达标基准,初步设定价值回归线,建立评估参照。通过归纳场馆建设标准与使用状态的匹配特征,归纳出9种场馆类型,为评估待更新场馆使用现状或预测新建场馆使用状态提供了直观、量化的理论工具。从案例分析中提炼出缩容降损、扩容增能、扩需提效三个基于使用效率模型的建设改造策略组合,并针对体育场的使用状态特点提出了针对性建设改造方向,通过该研究方法为制定全生命周期视野下的建设改造策略提供了依据。

THE SPECTRAL PROPERTIES OF THE ITERATION MATRIX OF REGULAR SPLITTINGS FOR AN M-MATRIX

Let A=M-N be a regular splitting of an M-matrix. We study the spectral properties of the ineration matrix M-1N. Under a mild assumption on M-1 N. some necessary and sufficent conditions such that p(M-1N)=1 are obtained and the algebraic multiplicity and the index associated with eigenvalue 1 in M-1N are considered.

DNA存储场景下基于引物索引矩阵的文件高效随机检索方法

DNA分子具有密度高和稳定性的优势,有望成为下一代海量数据存储需求的介质,近年来受到广泛关注。目前将引物作为文件的唯一标识,基于聚合酶链式反应(PCR)扩增技术可实现对DNA池存储文件的随机检索,但对引物与文件之间的分配和映射关系没有进行深入研究,仍然采用随机分配的方式来关联引物与文件,这会导致目标引物序列的查找效率降低,且保存引物与文件的映射关系表会造成大量的数据冗余。为了提供一种高效的硅基计算设备与碳基存储系统的连接桥梁,有效降低存储引物与文件映射关系所带来的数据冗余,该文提出一种基于引物索引矩阵的DNA存储随机检索方法。该方法通过将存储文件集按照文件的不同属性进行划分来构建引物索引矩阵,同时将引物库中的引物按照转换规则转化为有序引物库,最后优化引物与文件之间的映射关系,以实现对文件的高效、多维度检索。实验结果表明,在存储不同规模的文件集时,运用所提算法建立对应的引物索引矩阵,可将引物检索效率提高为常数级时间复杂度,并且存储引物与文件的映射关系所需要的额外存储空间从原来的线性增长优化为对数增长。