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INFINITE SERIES FORMULAE RELATED TO GAUSS AND BAILEY 2F1(1/2)-SUMS

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Acta Mathematica Scientia 2020年第2期40卷 293-315页

作者： wenchang chu School of Mathematics and Statistics Zhoukou Normal UniversityZhoukou 466001China Department of Mathematics and physics University of Salento(P.O.Box 193)73100 LecceItaly

The unifiedΩ-series of the Gauss and Bailey2F1(1/2)-sums will be investigated by utilizing asymptotic methods and the modified Abel lemma on summation by *** remarkable transformation theorems for theΩ-series will be proved whose particular cases turn out to be strange evaluations of nonterminating hypergeometric series and infinite series identities of Ramanujan-type,including a couple of beautiful expressions forπand the Catalan constant discovered by Guillera(2008).

关键词： Abel's lemma on summation by parts classical hypergeometric series Gauss'2F1(1/2)-sum Bailey's 2F1(1/2)-sum Saddle point method Catalan's constant

Non-Gaussian Random Bi-matrix Models for Bi-free Central Limit Distributions with positive Definite Covariance Matrices

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Acta Mathematica Sinica,English Series 2019年第12期35卷 1891-1905页

作者： Ming chu GAO School of Mathematics and Information Science Baoji University of Arts and Sciences Department of Mathematics Louisiana College

In this paper,we construct random two-faced families of matrices with non-Gaussian entries to approximate a bi-free central limit distribution with a positive definite covariance *** prove that,under modest conditions weaker than independence,a family of random two-faced families of matrices with non-Gaussian entries is asymptotically bi-free from a two-faced family of constant diagonal matrices.

关键词： Bi-free central limit distributions non-Gaussian random matrices asymptotic bi-freeness

A geometric characterisation of real C^(*)-algebras

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Science China Mathematics 2023年第10期66卷 2277-2292页

作者： Cho-Ho chu School of Mathematical Sciences Queen Mary University of LondonLondon E 14NSUK

we characterise the positive cone of a real C^(*)-algebra *** an open coneΩin a real Banach space V,with the closureΩ,we show thatΩis the interior of the positive cone of a unital real C^(*)-algebra if and only if it is a Finsler symmetric cone with an orientable extension,which is equivalent to the condition that V is,in an equivalent norm,the Hermitian part of a unital real C^(*)-algebra with the positive coneΩ.

关键词： real C^(*)-algebra Banach manifold Finsler symmetric cone Jordan algebra

South　China　Sea　warm　pool　in　Boreal　Spring

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Advances in Atmospheric Sciences 1997年第2期14卷 72-83页

作者： peter C. chu C. p. Chang Naval postgraduate School 93943 Monterey CA USA

During the boreal spring of 1966, a warm-core eddy is identified in the upper South China Sea (SCS) west of the philippines through an analysis of the U.S. Navy′s Master Oceanographic Observation Data Set. This eddy occurred before the development of the northern summer monsoon and disappeared afterward. we propose that this eddy is a result of the radiative warming during spring and the downwelling due to the anticyclonic forcing at the surface. Our hypothesis suggests an air-sea feedback scenario that may explain the development and withdrawal of the summer monsoon over the SCS. The development phase of the warm-core eddy in this hypothesis is tested by using the princeton Ocean model.

关键词： warm-core eddy Summer monsoon Downwelling South China Sea

Versatile Magnetic Nanoparticles for Spatially Organized Assemblies of Enzyme Cascades:A Comprehensive Investigation of Catalytic performance

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Chinese Journal of Chemistry 2022年第12期40卷 1437-1446页

作者： Xinshuang chu Qinghong Shi Deportment of Biochemical Engineering School of Chemical Engineering and TechnologyTianjin UniversityTianjin 300350China Key Laboratory of Systems Bioengineering and Frontiers Science Center for Synthetic Biology(Ministry of Education) Tianjin UniversityTianjin 300350China

Inspired by nature,precise spatial organization of enzyme cascades of interest is crucial to the improvement of catalytic ***,DNA scaffolds were introduced to construct a toolkit for versatile immobilization of enzyme pairs on dextran-coated magnetic nanoparticles(MNps).After the glucose oxidase(GOx)and horseradish peroxidase(HRp)pair was immobilized through random cova-lent,DNA-directed and DNA tile-directed strategies,the immobilized GOx/HRp pair on the MNp-based carrier assembled with DNA tile(TD@MNps)exhibited the highest activity due to rational spatial organization and less conformational change of constituent *** a decrease in interenzyme distance on TD@MNps,furthermore,the catalytic efficiency of the HRp/GOx pair increased further for both substrates,2,2'-azinobis(3-ethyl-benzthiazoline-6-sulfonate)(ABTS)and 3,3',5,5'-tetramethyl benzidine(TMB).As the assembled HRp was closer to the carrier surface,the catalytic efficiency of the GOx/HRp pair increased by 6.2-fold for positively charged TMB and only by 62%for negatively charged ABTS compared with the free GOx/HRp ***,a reversal of catalytic efficiency was found after the GOx/HRp pair was assembled on a positively charged carrier(TD@pMNps).This research demonstrated that MNp-based car-riers had the potential to become a versatile toolkit for shedding an insight into catalytic performance and the development of new biocatalysts.

关键词： Enzymes Immobilization DNA structures Substrate transport Spatial organization

RELATIONS BETwEEN INTERFACE OF CF/Al-4.5 Cu COMpOSITE AND SOLIDIFICATION pROCESSING

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中国有色金属学会会刊：英文版 1997年第2期7卷 133-137页

作者： chu, Shuangjie wu, Renjie Shanghai Jiao Tong Univ Shanghai China

ＲＥＬＡＴＩＯＮＳＢＥＴＷＥＥＮＩＮＴＥＲＦＡＣＥＯＦＣＦ／Ａｌ４．５ＣｕＣＯＭＰＯＳＩＴＥＡＮＤＳＯＬＩＤＩＦＩＣＡＴＩＯＮＰＲＯＣＥＳＳＩＮＧ①ＣｈｕＳｈｕａｎｇｊｉｅ，ＷｕＲｅｎｊｉｅＲｅｓｅａｒｃｈＩｎｓｔ... 详细信息

ＲＥＬＡＴＩＯＮＳＢＥＴＷＥＥＮＩＮＴＥＲＦＡＣＥＯＦＣＦ／Ａｌ４．５ＣｕＣＯＭＰＯＳＩＴＥＡＮＤＳＯＬＩＤＩＦＩＣＡＴＩＯＮＰＲＯＣＥＳＳＩＮＧ①ＣｈｕＳｈｕａｎｇｊｉｅ，ＷｕＲｅｎｊｉｅＲｅｓｅａｒｃｈＩｎｓｔｉｔｕｔｅｏｆＣｏｍｐｏｓｉｔｅＭ...

关键词： CF/Al 4.5Cu composite interface solidification cooling rate

Halogenated benzothiadiazole-based conjugated polymers as efficient photocatalysts for dye degradation and oxidative coupling of benzylamines

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Chinese Chemical Letters 2022年第5期33卷 2736-2740页

作者： chu chu Yuancheng Qin Cailing Ni Jianping Zou Key Laboratory of Jiangxi province for persistent pollutants Control and Resources Recycle Nanchang Hangkong UniversityNanchang 330063China

Donor-acceptor(D-A)conjugated polymers are widely used in photovoltaic applications and heteroge-neous catalysis due to their tunable building block and pre-designable ***,a series of ad-justable Donor-acceptor(D-A)benzothiodiazole-based conjugated polymers were designed and *** photocatalytic performance could be improved by fine-tuning the chemical structure by halo-gen substitution(F or Cl).The polymers exhibited excellent optoelectronic properties and were effective photocatalysts for the degradation of RhB and MO dyes,as well as promoting the oxidative coupling of *** degradation of RhB and MO occurred in 30 min under visible light radiation,while the yield of benzylamine coupling mediated by superoxide anion was as high as 82%.Systematic characterization methods were used to gain insights on the unique photocatalytic performance of the *** findings provide further insights into the design and synthesis of benzothiadiazole-based conjugated polymers as promising organic photocatalysts for solar energy conversion.

关键词： Conjugated polymer Band gap Dye degradation photocatalysis Benzylamine oxidation

Adaptive Control of a Chaotic System with Delay

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Chinese physics Letters 1998年第7期15卷 477-479页

作者： TIAN Yu-chu National Key Laboratory of Industrial Control Technology Institute of Industrial Process ControlZhejiang UniversityHangzhou 310027

A model-reference adaptive control strategy is proposed for a delay chaotic system with known or unknown *** analysis and numerical simulations show that the controlled system state can track an arbitrarily given refe... 详细信息

关键词： parameters chaotic system

Mechanical Characterization of Electroplated Ni Films by Micro-tensile Testing

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Chinese Journal of Mechanical Engineering 2009年第4期22卷 557-561页

作者： ZHANG Duanqin chu Jinkui Key Laboratory for Micro/Nano Technology and System of Liaoning province Dalian University of Technology Dalian 116024 China

Mechanical properties of structural materials are particularly important for design, performance realization and reliability analysis of microelectromechanical systems （MEMS）. Furthermore, accurate database of mechanical properties at the micro scale can provide indispensable reference for establishing MEMS standard. Electroplated nickel film is one of the most favored structural materials used in MEMS, thus its mechanical properties has been studied for many years. However, the measured values show large scatter in Yotmg＇s modulus of nickel film. Young＇s modulus and yield stress of electroplated nickel film are measured by using a micro-tensile testing instrument. The tensile load applied on the specimen is measured by a load cell with accuracy 0.25 mN directly, without additional friction. Through measuring the axial stiffness coefficient of the tensile instnunent in situ, the tensile strain of the specimen is obtained by using two-serial spring model. The electroplated nickel films were fabricated from sulfarnate baths, and the gauge section is 500μm long and 10μm wide nominally, and thickness range between 25 μm and 50μm. The obtained Young＇s modulus from tensile testing is 83＋6 Gpa for nickel specimens electroplated at current density of 20 mA/cm2 and it increases to 124＋5 Gpa as current density is decreased to 10 mA/cm2. The phenomena are interpreted in terms of porosity of microstructure. The higher current density produced rnicrostucture with low density and high volume fraction of pores, and the microstructure of high porosity corresponds to a lower modulus. The measured values of Young＇s modulus are consistent with those of calculated from the exponential empirical formula between Young＇s modulus and porosity. The micro-tensile testing instrument can also be used for mechanical measurement of other MEMS films.

关键词： electroplated nickel micro-tensile testing Young's modulus porosity