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bounds of the Estrada index of graphs

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Applied Mathematics(A Journal of Chinese Universities) 2010年第3期25卷 325-330页

作者： liu Jian-ping liu bo-lian College of Mathematics and Computer Science Fuzhou University Fujian 350108 China School of Mathematical Sciences South China Normal University Cuangzhou 510631 China

Let G be a graph of order n and let λ1, λ2,...,λn be its eigenvalues. The Estrada index[2] of G is defined as EE = EE（G） =∑i=1^n e^λ*** this paper, new bounds for EE are established, as well as some relations b... 详细信息

关键词： Graph spectrum Estrada index bound energy (of graph).

Degree series of the 3-harmonic graphs

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Applied Mathematics(A Journal of Chinese Universities) 2008年第4期23卷 481-489页

作者： liu Mu-huo liu bo-lian Department of Mathematics South China Agricultural University Guangzhou 510642 China School of Mathematical Sciences South China Normal University Guangzhou 510631 China

A λ harmonic graph G, a λ-Hgraph G for short, means that there exists a constant λ such that the equality λd（vi） = Σ（vi,vj）∈E（G） d（vj） holds for all i = 1, 2,..., ｜V（G）｜, where d（vi） denotes the degree of vertex vi. Let ni denote the number of vertices with degree i. This paper deals with the 3-Hgraphs and determines their degree series. Moreover, the 3-Hgraphs with bounded ni （1 ≤ i ≤ 7） are studied and some interesting results are obtained.

关键词： harmonic graph non-regular graph degree series

Generalization for Laplacian energy

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Applied Mathematics(A Journal of Chinese Universities) 2009年第4期24卷 443-450页

作者： liu Jian-ping liu bo-lian School of Mathematics Sciences South China Normal University Guangzhou 510631 China College of Mathematics and Computer Science Fuzhou University Fuzhou 350108 China

Let G be a simple graph with n vertices and m edges. Let λ1, λ2,…, λn, be the adjacency spectrum of G, and let μ1, μ2,…, μn be the Laplacian spectrum of G. The energy of G is E（G） = n∑i=1｜λi｜, while the Laplacian energy of G is defined as LE（G） = n∑i=1｜μi-2m/n｜ Let γ1, γ2, ~ …, γn be the eigenvalues of Hermite matrix A. The energy of Hermite matrix as HE（A） = n∑i=1｜γi-tr（A）/n｜ is defined and investigated in this paper. It is a natural generalization of E（G） and LE（G）. Thus all properties about energy in unity can be handled by HE（A）.

关键词： energy (of matrix) Hermite matrix eigenvalue

Synthesis and Crystal Structure of 4,4′-Diamino-N,N′-diethyl Bisbenzenesulfamide

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Chinese Journal of Structural Chemistry 2007年第2期26卷 177-183页

作者： WANG Li-Min PAN Xiao-Juan FAN Zhao-Yu YANG liu-bo liu lian TIAN He Laboratory for Advanced Materials Institute of Fine ChemicalsEast China University of Science and Technology Shanghai 200237 China

A new compound of 4,4＇-diamino-N,V＇-diethyl bisbenzenesulfamide （C18H26N4O4S2, Fw = 426.55） has been synthesized and its structure was determined by X-ray crystallography method. The crystal belongs to the monoclinic system, space group P21/c with a = 10.0623（9）, b = 13.6759（13）, c =15.5309（14） A, β = 100.482（2）°, V= 2101.6（3） A^3, Dc = 1.348 g/cm^3, F（000） = 904, μ = 0.285 mm^-1, Z = 4, the final R = 0.0512 and wR = 0.1363 for 3485 observed reflections with I 〉 2σ（I）. The structure of the title compound is pseudo secondary axisymmetric, and the two sulfamide-groups show distorted tetrahedral configurations.

关键词： 4,4'-diamino-N,V'-diethyl bisbenzenesulfamide synthesis crystal structure

Experimental Study on Vortex-Induced Vibration of Rough Risers Coupling with Interference Effect in Tandem Arrangement

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China Ocean Engineering 2024年第3期38卷 394-407页

作者： HU Ze-bo liu Zhen LI Peng GUO Hai-yan REN Xiao-hui HOU Hao HAO lian-hong College of Civil Engineering and Architecture Shandong University of Science and TechnologyQingdao 266590China Qingdao Key Laboratory of Marine Civil Engineering Materials and Structures Qingdao 266590China College of Engineering Ocean University of ChinaQingdao 266100China

In order to study the response law of vortex-induced vibration(VIV)of marine risers under the combined action of roughness and interference effects,and to reveal the coupling mechanism of roughness and interference effects on the riser,a VIV experiment of rough risers in tandem arrangement was conducted in a wave−current combined *** experiment characterized the risers’roughness by arranging different specifications of attachments on the surface of the *** rough risers with different roughness and smooth risers were arranged in tandem arrangement,with the rough risers arranged *** experimental results indicate that the suppression of the attachments on the downstream risers’vibration are more significant both in the CF and IL directions as the reduced velocity *** the downstream riser,the amplitude response of rough riser is more significantly weakened compared with the smooth one at high reduced *** the upstream risers,changes in the roughness and spacing ratio have an impact on their‘lock-in’*** the roughness of downstream risers is relatively large(0.1300)and the spacing between risers is small(S/D=4.0),the reduced velocity range of‘lock-in’region in the CF direction of upstream risers is obviously expanded,and the displacement in the‘lock-in’region is severer.

关键词： marine riser vortex-induced vibration tandem arrangement roughness interference effect

Emerging materials and transistors for integrated circuits

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National Science Review 2024年第3期11卷 7-8页

作者： Ming liu lian-Mao Peng Lab of Nanofabrication and Novel Device Integration Institute of Microelectronics Chinese Academy of Sciences Key Laboratory for the Physics and Chemistry of Nanodevices and Center for Carbon-based Electronics School of Electronics Peking University

The device technology for integrated circuits(ICs) has received a great deal of attention in the past decade since the mainstream silicon-based complementary metal-oxide-semiconductor(CMOS) field-effect transistor(FET) for modern ICs had been encountering development bottlenecks due to the combination of power constraints, physics, cost and fabrication processes.

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Clinical efficacy of Baijin pills in the treatment of generalized tonicclonic seizure epilepsy with cognitive impairment

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World Journal of Psychiatry 2024年第6期14卷 938-944页

作者： Jing-bo Li Jing Jiang lian Xue Shuai Zhao Hong-Quan liu Department of Neurology The Affiliated Hospital of Integrated Traditional Chinese and Western MedicineNanjing University of Chinese MedicineNanjing 210000Jiangsu ProvinceChina Department of Neurology Jiangsu Province Academy of Traditional Chinese MedicineNanjing 210000Jiangsu ProvinceChina

BACKGROUND The generalized tonic-clonic seizure(GTCS)is the most usual variety of epileptic *** is mainly characterized by strong body muscle rigidity,loss of consciousness,a disorder of plant neurofunction,and significant damage to cognitive *** effect of antiepileptic drugs on cognition should also be *** present,there is no effective treatment for patients with epilepsy,but traditional Chinese medicine has shown a significant effect on chronic disease with fewer harmful side effects and should,therefore,be considered for the therapy means of epilepsy with cognitive *** To investigate the clinical efficacy of Baijin pills for treating GTCS patients with cognitive *** This prospective study enrolled patients diagnosed with GTCS between January 2020 and December 2023 and separate them into two groups(experimental and control)using random number table *** control group was treated with sodium valproate,and the experimental group was Baijin pills and sodium valproate for three *** frequency and duration of each seizure,the Montreal Cognitive Assessment Scale(MoCA),and the Quality of Life Rating Scale(QOLIE-31)were recorded before and after *** There were 85 patients included(42 in the control group and 43 in the experimental group).After treatment,the seizure frequency in the experimental group was significantly reduced(P<0.05),and seizure duration was shortened(P<0.01).The total MoCA score in the experimental group significantly increased compared to before treatment(P<0.01),and the sub-item scores,except naming and abstract generalization ability,significantly increased(P<0.05),whereas the total MoCA score in the control group significantly decreased after treatment(P<0.05).The QOLIE-31 score of the experimental group increased significantly after treatment compared to before treatment(P<0.01).CONCLUSION Baijin pills have a good clinical effect on epilepsy with cognitive dysfunction.

关键词： Epilepsy Generalized tonic-clonic seizure Cognitive impairment Traditional Chinese medicine Baijin pills

A vibration isolator with a controllable quasi-zero stiffness region based on nonlinear force design

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Applied Mathematics and Mechanics(English Edition) 2024年第8期45卷 1279-1294页

作者： Xinyu lian Bing liu Huaxia DENG Xinglong GONG CAS Key Laboratory of Mechanical Behavior and Design of Materials Department of Modern MechanicsUniversity of Science and Technology of ChinaHefei 230027China State Key Laboratory of Nonlinear Mechanics Institute of MechanicsChinese Academy of SciencesBeijing 100190China State Key Laboratory of Fire Science University of Science and Technology of ChinaHefei 230026China

To achieve stability optimization in low-frequency vibration control for precision instruments,this paper presents a quasi-zero stiffness(QZS)vibration isolator with adjustable nonlinear ***,the stress-magnetism coupling model is established through meticulous theoretical *** controllable QZS interval is constructed via parameter design and magnetic control,effectively segregating the high static stiffness bearing section from the QZS vibration isolation ***,a displacement control scheme utilizing a magnetic force is proposed to regulate entry into the QZS working range for the vibration isolation *** results demonstrate that the operation within this QZS region reduces the peak-to-peak acceleration signal by approximately 66.7%compared with the operation outside this region,thereby significantly improving the low frequency performance of the QZS vibration isolator.

关键词： low frequency nonlinear vibration isolator quasi-zero stiffness(QzS)

Recent advances in fabrication and functions of neuromorphic system based on organic field effect transistor

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International Journal of Extreme Manufacturing 2024年第2期6卷 273-295页

作者： Yaqian liu Minrui lian Wei Chen Huipeng Chen School of Physics and Electronic Engineering Zhengzhou University of Light IndustryHenan 450002People’s Republic of China Institute of Optoelectronic Display National&Local United Engineering Lab of Flat Panel Display TechnologyFuzhou UniversityFuzhou 350002People’s Republic of China Joint School of National University of Singapore and Tianjin University International Campus of Tianjin UniversityFuzhou 350207People’s Republic of China Department of Chemistry National University of Singapore3 Science Drive 3Singapore 117543Singapore Department of Physics National University of Singapore3 Science Drive 3Singapore 117543Singapore

The development of various artificial electronics and machines would explosively increase the amount of information and data,which need to be processed via in-situ *** synapse devices can store and process signals in a parallel way,thus improving fault tolerance and decreasing the power consumption of artificial *** organic field effect transistor(OFET)is a promising component for bioinspired neuromorphic systems because it is suitable for large-scale integrated circuits and flexible *** this review,the organic semiconductor materials,structures and fabrication,and different artificial sensory perception systems functions based on neuromorphic OFET devices are ***,a summary and challenges of neuromorphic OFET devices are *** review presents a detailed introduction to the recent progress of neuromorphic OFET devices from semiconductor materials to perception systems,which would serve as a reference for the development of neuromorphic systems in future bioinspired electronics.

关键词： organic field effect transistor neuromorphic systems synaptic transistor sensory perception systems device fabrication