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Comparative analysis of CPUE standardization of Chinese Pacific saury(Cololabis saira)fishery based on GLM and GAM 预览
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作者 Chuanxiang Hua Qingcheng Zhu +1 位作者 Yongchuang Shi Yu Liu 《海洋学报:英文版》 SCIE CAS CSCD 2019年第10期100-110,共11页
Pacific saury is an important high-seas fishery resource in the Northwest Pacific Ocean for the Chinese Mainland.Reliable and accurate catch per unit effort(CPUE)plays a significant rule in Pacific saury stock assessm... Pacific saury is an important high-seas fishery resource in the Northwest Pacific Ocean for the Chinese Mainland.Reliable and accurate catch per unit effort(CPUE)plays a significant rule in Pacific saury stock assessment.Many statistical models have been used in the previous CPUE standardization research.Here,we compare the performance of Generalized Linear Models(GLMs)and Generalized Additive Models(GAMs)using CPUE data collected from Chinese saury fishery in the Northwest Pacific Ocean from 2003 to 2017(excluding data from Chinese Taipei),and evaluate the influence of spatial,temporal,environmental variables and vessel length on CPUE.Optimal GLM/GAM models were selected using the Bayesian information criterion(BIC).Explained deviance and 5-fold bootstrap cross-validation results were used to compare the performance of the two model types.Fitted GLMs accounted for 21.57%of the total model-explained deviance,while GAMs accounted for 38.95%.Predictive performance metrics and 5-fold cross-validation results showed that the best GAM performed better than the best GLM.Therefore,we recommend GAM as the preferred model for standardizing CPUE of Pacific saury in the Northwest Pacific Ocean. 展开更多
关键词 Cololabis saira CPUE standardization generalized linear model generalized additive model
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Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations
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作者 任博 马文秀 俞军 《理论物理通讯:英文版》 SCIE CAS CSCD 2019年第6期658-662,共5页
Based on the Hirota bilinear operators and their generalized bilinear derivatives, we formulate two new(2+1)-dimensional nonlinear partial differential equations, which possess lumps. One of the new nonlinear differen... Based on the Hirota bilinear operators and their generalized bilinear derivatives, we formulate two new(2+1)-dimensional nonlinear partial differential equations, which possess lumps. One of the new nonlinear differential equations includes the generalized Calogero-Bogoyavlenskii-Schiff equation and the generalized BogoyavlenskyKonopelchenko equation as particular examples, and the other has the same bilinear form with different Dp-operators.A class explicit lump solutions of the new nonlinear differential equation is constructed by using the Hirota bilinear approaches. A specific case of the presented lump solution is plotted to shed light on the charateristics of the lump. 展开更多
关键词 GENERALIZED Calogero-Bogoyavlenskii-Schiff EQUATION GENERALIZED Bogoyavlensky-Konopelchenko EQUATION Hirota bilinear Lump solution
Isomorphisms and Automorphisms of Generalized Semi-Cayley Graphs
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作者 Jing Chen Xu Yang Xiaomin Zhu 《代数集刊:英文版》 SCIE CSCD 2019年第2期321-328,共8页
In this paper we propose the concept of generalized semi-Cayley graphs, which is a combination of semi-Cayley graphs and generalized Cayley graphs. We study the isomorphisms and automorphisms of generalized semi-Cayle... In this paper we propose the concept of generalized semi-Cayley graphs, which is a combination of semi-Cayley graphs and generalized Cayley graphs. We study the isomorphisms and automorphisms of generalized semi-Cayley graphs and other related properties. 展开更多
关键词 CAYLEY GRAPH generalized semi-Cayley GRAPH isomorphism AUTOMORPHISM group
泛发性黑子病1例
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作者 方杰 张艾丽 +1 位作者 林伟清 王宝仁 《中国皮肤性病学杂志》 CAS CSCD 北大核心 2019年第7期820-821,共2页
患者女,14岁,全身泛发黑褐色斑疹11年,其余系统无异常。皮损组织病理示:表皮轻度角化过度,部分表皮突延长,基底层色素明显增多,真皮浅层可见噬色素细胞。诊断为泛发性黑子病。
关键词 泛发性 黑子病
Medieval mausoleums of Kazakhstan: Genesis, architectural features, major centres
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作者 Eskander Baitenov Ainagul Tuyakayeva Gulnara Abdrassilova 《建筑学研究前沿(英文版)》 CSCD 2019年第1期80-93,共14页
This article details the origin and development of one of the core groups of the Central Asian (Kazakhstani) medieval architecture - i.e. domed mausoleums;also it identifies the original traits of the medieval Kazakhs... This article details the origin and development of one of the core groups of the Central Asian (Kazakhstani) medieval architecture - i.e. domed mausoleums;also it identifies the original traits of the medieval Kazakhstani mausoleums and their major locations centres. As determined by the authors so called "dual code' was used as per building of medieval Central Asian mausoleums one of which corresponded to the generalized image of domed tomb as per the new ideology (Islam), and the second one matched the existing local forms and their decorative elements. Subsequently following several major compositional types of the Central Asian (Kazakhstan) mausoleums were formed and later on became standard i. e.- central, frontai, portal-domed ones. They served as the foundation for numerous architectural 'schools' in Kazakhstan which developed further specific building structures, their details,elements proportions,facades divisions, decor, etc. In accorda nee with this, the gen esis and main ways of forming the mausoleums on the territory of Kazakhstan was as follows - from singlechamber (central mausoleums,"facade" and portal ones) compositions up to multi-chamber ones, Also compositional features & specifics of the monuments of the main regional centres were revealed in the article. 展开更多
关键词 Generalized image MEMORIAL architecture of Kazakhstan MEDIEVAL Central ASIAN -Kazakhsta ni MAUSOLEUM Domed structure Portal-domed MAUSOLEUM Location centres of Kazakhstan MEDIEVAL mausoleums
Effects of fractional-order PI controller on delay margin in single-area delayed load frequency control systems 预览
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作者 Vedat CELIK Mahmut Temel OZDEMIR Kwang Y.LEE 《现代电力系统与清洁能源学报(英文)》 CSCD 2019年第2期380-389,共10页
This study aims to determine the improvement effect on the delay margin if fractional-order proportional integral(PI) controller is used in the control of a singlearea delayed load frequency control(LFC) system. The d... This study aims to determine the improvement effect on the delay margin if fractional-order proportional integral(PI) controller is used in the control of a singlearea delayed load frequency control(LFC) system. The delay margin of the system with fractional-order PI control has been obtained for various fractional integral orders and the effect of them has been shown on the delay margin as a third controller parameter. Furthermore,the stability of the system that is either under or over the delay margin is examined by generalized modified Mikhailov criterion.The stability results obtained have been confirmed numerically in time domain. It is demonstrated that the proposed controller for delayed LFC system provides more flexibility on delay margin according to integer-order PI controller. 展开更多
关键词 DELAY dependent stability DELAY MARGIN FRACTIONAL-ORDER proportional integral(PI) Generalized modified Mikhailov CRITERION Load frequency control with DELAY
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国际抗癫痫联盟新修订发作类型操作性分类的特征及解读
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作者 梁锦平 《中华神经科杂志》 CAS CSCD 北大核心 2019年第1期71-78,共8页
本文旨在为使用国际抗癫痫联盟(ILAE)2017癫痫发作类型分类提供指南解读,主要框架包括基本版和扩展版分类。根据重要的发作体征和症状,癫痫发作类型主要分为局灶性、全面性及未知起始发作。任何局灶性发作根据知觉保存与否分为知觉清醒... 本文旨在为使用国际抗癫痫联盟(ILAE)2017癫痫发作类型分类提供指南解读,主要框架包括基本版和扩展版分类。根据重要的发作体征和症状,癫痫发作类型主要分为局灶性、全面性及未知起始发作。任何局灶性发作根据知觉保存与否分为知觉清醒与损害性发作;然后又进一步分为运动性与非运动性发作。局灶性发作可能演变成双侧强直-阵挛发作。全面性发作也分为运动性与非运动发作。未知起始发作仍然可分为运动、非运动、强直-阵挛、痫性痉挛或行为终止。 展开更多
关键词 癫痫 分类 发作 局灶性 全面性
Numerical solution of generalized DPL model using wavelet method during thermal therapy applications
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作者 P.Kumar K.N.Rai 《生物数学学报:英文版》 2019年第3期169-190,共22页
In this paper, generalized dual-phase-lag (DPL) model has been studied for the numerical analysis of spatial variation of temperature within living biological tissues during thermal therapy applications. A new hybrid ... In this paper, generalized dual-phase-lag (DPL) model has been studied for the numerical analysis of spatial variation of temperature within living biological tissues during thermal therapy applications. A new hybrid numerical scheme based on finite difference scheme and Chebyshev wavelet Galerkin method are used to solve the generalized DPL model with constant heat flux boundary condition. Multi-resolution and multi-scale computational property of Chebyshev wavelet in the present case localizes small scale variations of solution and fast switching of functional bases. Our study demonstrates that due to presence of coupling factor (convection–perfusion), generalized DPL model predicts lower temperature than classical DPL and Pennes model at the tumor position. Higher values of phase lag times results in lower temperature at the tumor position. But, in case of variation of phase lag time due to temperature gradient, the nature of temperature profile also depends on the spatial coordinate. The effect of the blood temperature, porosity and interfacial convective heat transfer on temperature distribution has been investigated. It is found that larger values of porosity and interfacial convective heat transfer results in lower temperature at the tumor position. Also, both porosity and interfacial convective heat transfer are pronounced more at higher values. The whole analysis is presented in dimensionless form. 展开更多
关键词 CHEBYSHEV wavelet GALERKIN method Generalized DPL MODEL NONEQUILIBRIUM bioheat transfer Thermal therapy
Study on variation trend of repetitive nerve stimulation waveform in amyotrophic lateral sclerosis
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作者 Li-Lan Fu He-Xiang Yin +1 位作者 Ming-Sheng Liu Li-Ying Cui 《中华医学杂志:英文版》 SCIE CAS CSCD 2019年第5期542-550,共9页
Background: Amyotrophic lateral sclerosis (ALS) is a progressive neurodegenerative disease involving both upper and lower neurons with no effective cure. Electrophysiological studies have found decremental responses d... Background: Amyotrophic lateral sclerosis (ALS) is a progressive neurodegenerative disease involving both upper and lower neurons with no effective cure. Electrophysiological studies have found decremental responses during low-frequency repetitive nerve stimulation (RNS) except for diffused neurogenic activities. However, the difference between ALS and generalized myasthenia gravis (GMG) in terms of waveform features is unclear. In the current study, we explored the variation trend of the amplitudes curve between ALS and GMG with low-frequency, positive RNS, and the possible mechanism is discussed preliminarily. Methods: A total of 85 ALS patients and 41 GMG patients were recruited. All patients were from Peking Union Medical College Hospital (PUMCH) between July 1,2012 and February 28,2015. RNS study included ulnar nerve, accessory nerve and facial nerve at 3 Hz and 5 Hz stimulation. The percentage reduction in the amplitude of the fourth or fifth wave from the first wave was calculated and compared with the normal values of our hospital. A 15% decrease in amplitude is defined as a decrease in amplitude. Results: The decremental response at low-frequency RNS showed the abnormal rate of RNS decline was 54.1%(46/85) in the ALS group, and the results of different nerves were 54.1 %(46/85) of the accessory nerve, 8.2%(7/85) of the ulnar nerve and 0%(0/85) of the facial nerve stimulation, respectively. In the GMG group, the abnormal rate of RNS decline was 100%(41/41) at low-frequency RNS of accessory nerves. However, there was a significant difference between the 2 groups in the amplitude after the sixth wave. Conclusions: Both groups of patients are able to show a decreasing amplitude of low-frequency stimulation RNS, but the recovery trend after the sixth wave has significant variation. It implies the different pathogenesis of NMJ dysfunction of these 2 diseases. 展开更多
关键词 Amyotrophic lateral SCLEROSIS Generalized MYASTHENIA GRAVIS NEUROMUSCULAR junction REPETITIVE nerve stimulation
Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras
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作者 Haibo CHEN Xiansheng DAI Hengyun YANG 《中国数学前沿:英文版》 SCIE CSCD 2019年第2期239-260,共22页
We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) ... We give a classification of Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st). Then we find out that not all Lie bialgebra structures on generalized loop Schr?dinger-Virasoro algebras st) are triangular coboundary. 展开更多
关键词 LIE BIALGEBRA YANG-BAXTER equation generalized LOOP Schr?dinger-Virasoro ALGEBRA
Twist-driven separation of p-type and n-type dopants in single-crystalline nanowires
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作者 Dong-Bo Zhang Xing-Ju Zhao +2 位作者 Gotthard Seifert Kinfai Tse Junyi Zhu 《国家科学评论:英文版》 CSCD 2019年第3期532-539,共8页
The distribution of dopants significantly influences the properties of semiconductors,yet effective modulation and separation of p-type and n-type dopants in homogeneous materials remain challenging,especially for nan... The distribution of dopants significantly influences the properties of semiconductors,yet effective modulation and separation of p-type and n-type dopants in homogeneous materials remain challenging,especially for nanostructures.Employing a bond orbital model with supportive atomistic simulations,we show that axial twisting can substantially modulate the radial distribution of dopants in Si nanowires(NWs)such that dopants of smaller sizes than the host atom prefer atomic sites near the NW core,while dopants of larger sizes are prone to staying adjacent to the NW surface.We attribute such distinct behaviors to the twist-induced inhomogeneous shear strain in NW.With this,our investigation on codoping pairs further reveals that with proper choices of codoping pairs,e.g.B and Sb,n-type and p-type dopants can be well separated along the NW radial dimension.Our findings suggest that twisting may lead to realizations of p–n junction configuration and modulation doping in single-crystalline NWs. 展开更多
关键词 TWIST CODOPING NANOWIRE generalized BLOCH theorem bond orbital theory
Design of Irregular QC-LDPC Code Based Multi-Level Coded Modulation Scheme for High Speed Optical Communication Systems 预览
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作者 Liqian Wang Dongdong Wang +3 位作者 Yongjing Ni Xue Chen Midou Cui Fu Yang 《中国通信:英文版》 SCIE CSCD 2019年第5期106-120,共15页
In this paper, we focus on the design of irregular QC-LDPC code based multi-level coded modulation(MLCM) scheme by jointly optimizing the component code rate and the degree distribution of the irregular QC-LDPC compon... In this paper, we focus on the design of irregular QC-LDPC code based multi-level coded modulation(MLCM) scheme by jointly optimizing the component code rate and the degree distribution of the irregular QC-LDPC component code. Firstly, the sub-channel capacities of MLCM systems is analyzed and discussed, based on which the optimal component code rate can be obtained. Secondly, an extrinsic information transfer chart based two-stage searching algorithm is proposed to find the good irregular QC-LDPC code ensembles with optimal component code rates for their corresponding sub-channels. Finally, by constructing the irregular QC-LDPC component codes from the designed ensembles with the aim of possibly enlarging the girth and reducing the number of the shortest cycles, the designed irregular QC-LDPC code based 16QAM and 64QAM MLCM systems can achieve 0.4 dB and 1.2 dB net coding gain, respectively, compared with the recently proposed regular QC-LDPC code based 16QAM and 64QAM MLCM systems. 展开更多
关键词 quasi-cyclic LOW-DENSITY parity check (QC-LDPC) code irregular EXTRINSIC INFORMATION transfer(EXIT) chart generalized mutual information(GMI) MULTI-LEVEL coded modulation(MLCM)
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Classifying Metarational Stabilities in Conflicts
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作者 Amanda Garcia Keith W.Hipel Amer Obeidi 《系统科学与系统工程学报:英文版》 SCIE EI CSCD 2019年第3期265-284,共20页
New solution concepts for n-decision maker conflicts based on generalized metarationalities for modelling possible human behaviour under conflict are proposed.A classification of these solution concepts,also called st... New solution concepts for n-decision maker conflicts based on generalized metarationalities for modelling possible human behaviour under conflict are proposed.A classification of these solution concepts,also called stability definitions,is presented both to simplify understanding and to illustrate important differences among different stability regimes.The relationships among solution concepts are explored and new,more specific results are obtained in the comparison among existing stability concepts and the newly proposed ones.An informative example is used to demonstrate the applicability and insights of these solution concepts. 展开更多
关键词 GRAPH model for CONFLICT RESOLUTION generalized metarationalities stability CRITERIA DECISIONMAKING
Dynamic assessment method of air target threat based on improved GIFSS 预览
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作者 FENG Jinfu ZHANG Qiang +1 位作者 HU Junhua LIU An 《系统工程与电子技术:英文版》 SCIE EI CSCD 2019年第3期525-534,共10页
As the air combat environment becomes more complicated and changeable, accurate threat assessment of air target has a significant impact on air defense operations. This paper proposes an improved generalized intuition... As the air combat environment becomes more complicated and changeable, accurate threat assessment of air target has a significant impact on air defense operations. This paper proposes an improved generalized intuitionistic fuzzy soft set (GIFSS) method for dynamic assessment of air target threat. Firstly, the threat assessment index is reasonably determined by analyzing the typical characteristics of air targets. Secondly, after the GIFSS at different time is obtained, the index weight is determined by the intuitionistic fuzzy set entropy and the relative entropy theory. Then, the inverse Poisson distribution method is used to determine the weight of time series, and then the time-weighted GIFSS is obtained. Finally, threat assessment of five air targets is carried out by using the improved GIFSS (I-GIFSS) and comparison methods. The validity and superiority of the proposed method are verified by calculation and comparison. 展开更多
关键词 THREAT DYNAMIC assessment generalized intuitionistic FUZZY soft set (GIFSS) intuitionistic FUZZY ENTROPY relative ENTROPY INVERSE POISSON distribution method
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Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions 预览
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作者 Hu DING Minhui ZHU Liqun CHEN 《应用数学和力学:英文版》 SCIE EI CSCD 2019年第7期911-924,共14页
Axially moving beams are often discussed with several classic boundary conditions, such as simply-supported ends, fixed ends, and free ends. Here, axially moving beams with generalized boundary conditions are discusse... Axially moving beams are often discussed with several classic boundary conditions, such as simply-supported ends, fixed ends, and free ends. Here, axially moving beams with generalized boundary conditions are discussed for the first time. The beam is supported by torsional springs and vertical springs at both ends. By modifying the stiffness of the springs, generalized boundaries can replace those classical boundaries. Dynamic stiffness matrices are, respectively, established for axially moving Timoshenko beams and Euler-Bernoulli (EB) beams with generalized boundaries. In order to verify the applicability of the EB model, the natural frequencies of the axially moving Timoshenko beam and EB beam are compared. Furthermore, the effects of constrained spring stiffness on the vibration frequencies of the axially moving beam are studied. Interestingly, it can be found that the critical speed of the axially moving beam does not change with the vertical spring stiffness. In addition, both the moving speed and elastic boundaries make the Timoshenko beam theory more needed. The validity of the dynamic stiffness method is demonstrated by using numerical simulation. 展开更多
关键词 AXIALLY moving BEAM natural frequency TIMOSHENKO BEAM model DYNAMIC stiffness matrix generalized boundary condition
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Electroviscous effect on electromagnetohydrodynamic flows of Maxwell fluids in parallel plate microchannels 预览
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作者 Yongbo LIU Yongjun JIAN 《应用数学和力学:英文版》 SCIE EI CSCD 2019年第10期1457-1470,共14页
Considering the influence of the streaming potential and electroviscous effects, the analytical solutions for electromagnetohydrodynamic (EMHD) flows in parallel plate microchannels are obtained. The electrolyte solut... Considering the influence of the streaming potential and electroviscous effects, the analytical solutions for electromagnetohydrodynamic (EMHD) flows in parallel plate microchannels are obtained. The electrolyte solutions in the microchannels are taken as generalized Maxwell fluids, and slip boundary conditions are adopted. To accurately analyze the EMHD flow characteristics, the variation trends of the electroviscous effects with the corresponding parameters must be understood. The results show that the electroviscous effects increase with the increase in the relaxation time De, the slip coefficient , and the wall zeta potential 0. However, the increase in the inverse of the electrical double-layer (EDL) thickness K, the electrical oscillating Reynolds number Re, and the ionic P'eclet number Pe can decrease the electroviscous effects. We also demonstrate that the electroviscous effect on the EMHD flows of generalized Maxwell fluids is larger than that of Newtonian fluids. This work will be useful in designing EMHD flows in parallel plate microchannels. 展开更多
关键词 electroviscous e ECT electromagnetohydrodynamic (EMHD) ow GENERALIZED MAXWELL UID
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Asymptotic Stability of Monotone Decreasing Kink Profile Solitary Wave Solutions for Generalized KdV-Burgers Equation
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作者 Wei-guo ZHANG Wen-xia LI +1 位作者 Sheng-er DENG Xiang LI 《应用数学学报:英文版》 SCIE CSCD 2019年第3期475-490,共16页
In this paper,we focus on studying the asymptotic stability of the monotone decreasing kink profile solitary wave solutions for the generalized KdV-Burgers equation.We obtain the estimate of the firstorder and second-... In this paper,we focus on studying the asymptotic stability of the monotone decreasing kink profile solitary wave solutions for the generalized KdV-Burgers equation.We obtain the estimate of the firstorder and second-order derivatives for monotone decreasing kink profile solitary wave solutions,and overcome the difficulties caused by high-order nonlinear terms in the generalized KdV-Burgers equation in the estimate by using L2 energy estimating method and Young inequality.We prove that the monotone decreasing kink profile solitary wave solutions are asymptotically stable in H1.Moreover,we obtain the decay rate of the perturbationψin the sense of L^2 and L^∞norm,respectively,which are(1+t)^-1/2 and(1+t)^-1/4 by using Gargliado-Nirenberg inequality. 展开更多
关键词 Generalized KDV-BURGERS equation a priori estimate asymptotic stability DECAY rate
Global Optimization of Polynomials over Real Algebraic Sets
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作者 WANG Chu YANG Zhi-Hong ZHI Lihong 《系统科学与复杂性学报:英文版》 SCIE EI CSCD 2019年第1期158-184,共27页
Let f, g1, ···, gs be polynomials in R[X1, ···, Xn]. Based on topological properties of generalized critical values, the authors propose a method to compute the global infimum f^* of f ov... Let f, g1, ···, gs be polynomials in R[X1, ···, Xn]. Based on topological properties of generalized critical values, the authors propose a method to compute the global infimum f^* of f over an arbitrary given real algebraic set V = {x ∈ Rn| g1(x) = 0, ···, gs(x) = 0}, where V is not required to be compact or smooth. The authors also generalize this method to solve the problem of optimizing f over a basic closed semi-algebraic set S = {x ∈ Rn| g1(x) ≥ 0, ···, gs(x) ≥ 0}. 展开更多
关键词 POLYNOMIAL optimization REAL ALGEBRAIC set GENERALIZED CRITICAL value
The exponentiated generalized power Lindley distribution: Properties and applications 预览
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作者 S.M.T.K. MirMostafaee Morad Alizadeh +1 位作者 Emrah Altun Saralees Nadarajah 《高校应用数学学报:英文版(B辑)》 SCIE CSCD 2019年第2期127-148,共22页
In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of th... In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions. 展开更多
关键词 Anderson-Darling test statistic Exponentiated GENERALIZED class of DISTRIBUTIONS Lambert function Maximum LIKELIHOOD method POWER Lindley DISTRIBUTION
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Continuity of functors with respect to generalized inductive limits
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作者 Jiajie HUA Xiaochun FANG Xiao-Ming XU 《中国数学前沿:英文版》 SCIE CSCD 2019年第3期551-566,共16页
Let(Ai,φi,i+1) be a generalized indue Live system of a sequeiiee (Ai) of unital separable C^*-algebras,with A =limi→∞(Ai,φi,i+1). Set φj,i=φi-1,i^0…0φj+1,j+2^0 φj,j+1 for all i>j. We prove that if φj,i ar... Let(Ai,φi,i+1) be a generalized indue Live system of a sequeiiee (Ai) of unital separable C^*-algebras,with A =limi→∞(Ai,φi,i+1). Set φj,i=φi-1,i^0…0φj+1,j+2^0 φj,j+1 for all i>j. We prove that if φj,i are order zero completely positive contractions for all j and i>j, And L:=inf{λ|λ∈σ(φj,i(1Aj)) for all j uud i>j}>0, where σ(φj,i(1Aj)) is the speetrum of φj,i(1Aj),than limi→∞(Cu(Ai),Cu((φi,i+1))=Cu(A), where Cu(A) is a stable version of the Cuntz semigroup of C^*-algebra A. Let (An,φm,n) be a generalized inductive syfitem of C^*-algahrafl, with the ipmkn order zero completely positive contractions. We also prove that if the decomposition rank (nuclear dimension) of ,4n is no more t han some integer k for each n, then the decompostition rank (nuclear dimension) of A is also no more than k. 展开更多
关键词 COMPLETELY positive map order zero GENERALIZED INDUCTIVE limits classification of C^*-algebra
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