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On a generalized homogeneous Hahn polynomial

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Science China Mathematics 2023年第5期66卷 957-976页

作者： bing he School of Mathematics and Statistics Central South UniversityChangsha 410083China

We investigate a generalized homogeneous Hahn polynomial in some detail. This polynomial includes as special cases the homogeneous Hahn polynomial and the homogeneous Rogers-Szeg o polynomial.A generating function, which contains a known generating function as a special case, is given. We also give a finite series generating function. Some results on the asymptotic expansion for this polynomial are *** results on zeros are also obtained. We deduce several results on zeros of certain entire functions involving this generalized Hahn polynomial. As results, one of Zhang(2017)’s results as well as others is obtained. Finally,we derive several general results on q-congruences of the generalized q-Apéry polynomials, from which two qcongruences involving the generalized homogeneous Hahn polynomial are deduced.

关键词： generalized homogeneous Hahn polynomial generating function asymptotic expansion zeros zeros of entire functions q-congruence

Proofs for certain q-trigonometric identities of Gosper

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Science China Mathematics 2020年第12期63卷 2415-2422页

作者： bing he Hongcun Zhai School of Mathematics and Statistics Central South UniversityChangsha 410083China Department of Mathematics Luoyang Normal UniversityLuoyang 471934China

Applying an addition formula of Liu(2007),we deduce certain Jacobi theta function *** these results we confirm several q-trigonometric identities *** by Gosper(2001).Another conjectured identity on the constant Πq is... 详细信息

关键词： Jacobi theta function addition formula q-trigonometric identity constantΠq

Second Generation Wavelet Finite Element and Rotor Cracks Quantitative Identification Method

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Chinese Journal of Mechanical Engineering 2010年第2期23卷 195-199页

作者： CheN Xuefeng LI bing he Yuming he Zhengjia State Key Laboratory for Manufacturing Systems Engineering Xi ＇an Jiaotong University Xi ＇an 710049 China

The presence of cracks in the rotor is one of the most dangerous and critical defects for rotating machinery. Defect of fatigue cracks may lead to long out-of-service periods, heavy damages of machines and severe economic consequences. With the method of finite element, vibration behavior of cracked rotors and crack detection was received considerable attention in the academic and engineering field. Various researchers studied the response of a cracked rotor and most of them are focused on the crack detection based on vibration behavior of cracked rotors. But it is often difficult to identify the crack parameters quantitatively. Second generation wavelets （SGW） finite element has good ability in modal analysis for singularity problems like a cracked rotor. Based on the fact that the feature of SGW could be designed depending on applications, a multiresolution finite element method is presented. The new model of SGW beam element is constructed. The first three natural frequencies of the rotor with different crack location and size were solved with SGW beam elements, and the database for crack diagnosis is obtained. The first three metrical natural frequencies are employed as inputs of the database and the intersection of the three frequencies contour lines predicted the normalized crack location and size. With the Bently RK4 rotor test rig, rotors with different crack location and size are tested and diagnosed. The experimental results denote the cracks quantitative identification method has higher identification precision. With SGW finite element method, a novel method is presented that has higher precision and faster computing speed to identify the crack location and size.

关键词： second generation wavelet finite element fault diagnosis crack

Research on the Variability and Impact of Industrial Organizational Structure under the Background of Internet Plus Era

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学术界 2016年第5期 312-317页

作者： he bing School of Economics and Business Zhongshan School of University of Electronic Science and Technology Zhongshan Guangdong 528400

This paper determines the basic principles and compares the effects of industrial structure changes through hierarchical analysis of industrial organizational structure on five empirical objects according to a combination of theoretical and empirical analysis and also a combination of macroeconomics and *** will provide three necessary conditions and four basic conditions for the change of industrial structure to improve the entity economy based on industrial upgradation.

关键词：产业升级组织结构互联网计量经济学层次分析结构变化实体经济产业结构

HYBRID SIMULATION OF The HYDRAULIC CHARACTERISTICS AT RIVER AND LAKE CONFLUENCE

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Journal of Hydrodynamics 2011年第1期23卷 105-113页

作者： LIU Shi-he CAO bing College of Water Resource and Hydropower Wuhan University Wuhan 430072 China

The hydraulic characteristics at the confluence reach of river and lake are influenced by multiple factors such as inflow,topography and vegetation resistance,and are very *** this article,the confluence reach of Yangtze River and Dong-ting Lake is selected as a special example and a hybrid model is built to study the flow at this confluence,with the consideration of the interactions between aquatic vegetation and *** tests and calculations show that the model is effective and highly *** simulations show that the separation levee at the confluence reach may change the discharge capacity in the flood plain,which would be enhanced in the upper reach of the levee,hardly changed in the middle reach and reduced at the lower ***,the separation levee also limits the water exchange between the Yangtze River and Dong-ting Lake.

关键词： confluence reach hybrid model separation levee discharge capacity in flood plain

Three-dimensional cell culture models for investigating human viruses

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Virologica Sinica 2016年第5期31卷 363-379页

作者： bing he Guomin Chen Yi Zeng State Key Laboratory of Infection Disease Prevention and Control National Institute for Viral Disease Control and Prevention Chinese Center for Disease Control and Prevention

Three-dimensional(3D) culture models are physiologically relevant, as they provide reproducible results, experimental flexibility and can be adapted for high-throughput experiments. Moreover,these models bridge the gap between traditional two-dimensional(2D) monolayer cultures and animal models. 3D culture systems have significantly advanced basic cell science and tissue engineering, especially in the fields of cell biology and physiology, stem cell research, regenerative medicine, cancer research, drug discovery, and gene and protein expression studies. In addition,3D models can provide unique insight into bacteriology, virology, parasitology and host-pathogen interactions. This review summarizes and analyzes recent progress in human virological research with 3D cell culture models. We discuss viral growth, replication, proliferation, infection, virus-host interactions and antiviral drugs in 3D culture models.

关键词： three-dimensional (3D) cell culture models scaffolds human viruses

Changes in persistent and non-persistent extreme precipitation in Chinafrom 1961 to 2016

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Advances in Climate Change Research 2018年第3期9卷 177-184页

作者： he bing-Rui ZHAI Pan-Mao Chinese Academy of Meteorological Sciences Beijing 100081 China

In this study, based on daily gage precipitation data of 2480 stations from 1961 to 2016, the summer （JuneeAugust） extreme precipitationevent was defined using the 95th percentile, and the changes in persistent （last for at least 2 d） and non-persistent （1 d） extreme precipitation inChina were analyzed. The results indicate that under global warming, the contribution of extreme precipitation to total summer precipitationincreased in most areas of China, but it decreased in the central part of Inner Mongolia and the Sichuan Basin. In North and Southwest China,both persistent and non-persistent extreme precipitation decreased; the decreasing trend of persistent extreme precipitation was more prominent;thus, extreme precipitation event occurred more as non-persistent event. Meanwhile, in the Yangtze River Basin and South China, both types ofextreme precipitation increased particularly the persistent extreme precipitation; persistent extreme precipitation occurred more compared withnon-persistent events.

关键词： Persistent extreme precipitation Non-persistent extreme precipitation Persistence structure China

Mutated Genes in Pancreatic Cancer

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Chinese Journal of Cancer Research 2010年第2期22卷 93-98页

作者： Song-bing he De-chun Li Department of General Surgery the First Affiliated Hospital Soochow University Suzhou 215006 China

Pancreatic cancer continues to be a deadly malignancy with still high mortality and poor survival. Little progress has been made on the treatment of advanced pancreatic cancer despite the significant advances in understanding, diagnosis, and access to conventional and novel treatments. Molecular pathology of the lesion is the key of our understanding of the mechanisms underlying the development of this cancer and will probably help us in earlier diagnosis and better therapeutic results. New treatment strategies and a more careful evaluation of innovative therapies are clearly needed for this disease. In view of many findings pancreatic cancer should be regarded as a systemic disease, and over the last several years, investigators have gained a better understanding of the molecular biology and events that lead to the development of malignancies. We here review the novel developments in the systemic exploring for commonly mutated genes in pancreatic cancer.

关键词： Pancreatic cancer Epithelial growth factor Matrix metalloproteinases Oncogenes

Attitude Control of Rigid Body with Inertia Uncertainty and Saturation Input

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Tsinghua Science and Technology 2017年第1期22卷 83-91页

作者： Xi Ma Fuchun Sun Hongbo Li bing he Department of Computer Science and Technology Tsinghua UniversityState Key Lab of Intelligent Technology and Systemsand Tsinghua National Laboratory for Information Scienceand Technology (TNList) Department of Aerospace Engineering High-Tech Institute of Xi’an

In this paper, the attitude control problem of rigid body is addressed with considering inertia uncertainty,bounded time-varying disturbances, angular velocity-free measurement, and unknown non-symmetric saturation input. Using a mathematical transformation, the effects of bounded time-varying disturbances, uncertain inertia,and saturation input are combined as total disturbances. A novel finite-time observer is designed to estimate the unknown angular velocity and the total disturbances. For attitude control, an observer-based sliding-mode control protocol is proposed to force the system state convergence to the desired sliding-mode surface; the finite-time stability is guaranteed via Lyapunov theory analysis. Finally, a numerical simulation is presented to illustrate the effective performance of the proposed sliding-mode control protocol.

关键词： attitude control inertial uncertainty angular velocity-free measurement saturation input finite-time observer sliding-mode control