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On the rate of convergence of two generalized Bernstein type operators

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Applied Mathematics(A Journal of Chinese Universities) 2020年第3期35卷 321-331页

作者： LIAN bo-yong cai Qing-bo Department of Mathematics Yang-En UniversityQuanzhou 362014China School of Mathematics and Computer Science Quanzhou Normal UniversityQuanzhou 362000China

In this paper,we introduce the Bézier variant of two new families of generalized Bernstein type *** establish a direct approximation by means of the Ditzian-Totik modulus of smoothness and a global approximation theorem in terms of second order modulus of *** means of construction of suitable functions and the method of bojanic and Cheng,we give the rate of convergence for absolutely continuous functions having a derivative equivalent to a bounded variation function.

关键词： Bernstein operators modulus of smoothness rate of convergence bounded variation

Bidirectionally polarizing surface chemistry of heteroatom-doped carbon matrix towards fast and longevous lithium-sulfur batteries

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Chinese Chemical Letters 2023年第7期34卷 313-317页

作者： Hongyang Li bo cai Yingze Song Wenlong cai Gaoran Li MIIT Key Laboratory of Advanced Display Materials and Devices College of Materials Science and EngineeringNanjing University of Science and TechnologyNanjing210094China State Key Laboratory of Organic Electronics and Information Displays&Institute of Advanced Materials(IAM) Nanjing University of Posts&TelecommunicationsNanjing210023China State Key Laboratory of Environmental-Friendly Energy Materials School of Materials Science and EngineeringSouthwest University of Science and TechnologyMianyang621010China Department of Advanced Energy Materials College of Materials Science and EngineeringSichuan UniversityChengdu 610064China

Herein, a bidirectional polarization strategy is proposed for hosting efficient and durable lithium-sulfur battery(Li-S) electrochemistry. By co-doping electronegative N and electropositive B in graphene matrix(BNrGO), the bidirectional electron redistribution enables a higher polysulfide affinity over its monodoped counterparts, contributing to strong sulfur immobilization and fast conversion kinetics. As a result,BNrGO as the cathode host matrix realizes excellent cycling stability over 1000 cycles with a minimum capacity fading of 0.027% per cycle, and superb rate capability up to 10 C. Meanwhile, decent areal capacity(6.46 m Ah/cm^(2)) and cyclability(300 cycles) are also achievable under high sulfur loading and limited electrolyte. This work provides instructive insights into the interaction between doping engineering and sulfur electrochemistry for pursuing superior Li-S batteries.

关键词： Lithium-sulfur battery Facile synthesis Heteroatom doping Bidirectional polarization Shuttle effect

Stabilization of a class of fuzzy stochastic jump systems with partial information on jump and sojourn parameters

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Science China(Technological Sciences) 2021年第2期64卷 353-363页

作者： cai bo WENG Rui ZHANG RuiXian LIANG Ye ZHANG LiXian School of Astronautics Harbin Institute of TechnologyHarbin 150001China Key Laboratory of System Control and Information Processing Ministry of EducationShanghai 200240China

This paper addresses the problem of the design of controller for fuzzy semi-Markov jump systems with hidden modes against the incomplete information on probability density functions of sojourn time. Two ubiquitous circumstances in practice are taken into account, which are often ignored in other related work:(1) the phenomenon that system modes cannot be accessed entirely is considered proactively;(2) finitely accessible information on probability density functions is studied in this paper. By virtue of hidden semi-Markov chain, the underlying systems are modeled as hidden semi-Markov jump systems, which are more general than semi-Markov jump systems. Sufficient conditions on the existence of desired accessible-mode-dependent fuzzy controller are derived such that the fuzzy hidden semi-Markov jump systems is mean square stable. Based on the emission probability matrix, the presented control policy overcomes the possible mode-mismatch between the system mode and the accessible ***, an example is provided to demonstrate the effectiveness of the proposed control method.

关键词： hidden modes probability density function stochastic switching systems time-varying controller Takagi-Sugeno(T-S)fuzzy system

Nanjing＇s Fantasy, Lu Chuan＇s Flaws---Reassessing City of Life and Death

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Frontiers of Literary Studies in China-Selected Publications from Chinese Universities 2013年第3期7卷 517-520页

作者： bo cai East China Normal University

At the end of April 2009, City of Life and Death--a movie four years in the making--arrived in cinemas around the country. When the film opened, director Lu Chuan repeatedly emphasized to the media that he wanted City...

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Approximation properties for the genuine modi ed Bernstein-Durrmeyer-Stancu operators

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Applied Mathematics(A Journal of Chinese Universities) 2020年第4期35卷 468-478页

作者： cai Qing-bo Ulku Dinlemez Kantar Bayram Cekim School of Mathematics and Computer Science Quanzhou Normal UniversityQuanzhou 362000China Department of Mathematics Faculty of ScienceGazi UniversityBesevler AnkaraTurkey

In this paper,we study on the genuine modified Bernstein-Durrmeyer-Stancu operators Gn(f,x)and investigate some approximation properties of ***,we present a Voronovskaja type theorem for these *** also give some graph... 详细信息

关键词： genuine modi ed Bernstein-Durrmeyer-Stancu operators Voronovskaja type approximation theorem rate of convergence modulus of continuity

Wave effects on the anti-liquefaction of the seabed around composite bucket foundation of offshore wind turbines

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Journal of Hydrodynamics 2021年第6期33卷 1291-1302页

作者： Li-hua Wang Jin-feng Zhang Run-bo cai Jing-yuan Li State Key Laboratory of Hydraulic Engineering Simulation and Safety Tianjin University Tianjin 300072China Key Laboratory of Earthquake Engineering Simulation and Seismic Resilience of China Earthquake Administration Tianjin UniversityTianjin 300350China

By using the open-source software OpenFOAM and the grid generation tool the integrated computer engineering and manufacturing code for computational fluid dynamics(ICEM CFD),a computational fluid dynamics-computational structural dynamics(CFD-CSD)coupling model is *** dynamic response and the liquefaction of the seabed around the composite bucket foundation of the offshore wind turbines in the Xiangshui area of Jiangsu Province are *** pore water pressure,the effective stress,the liquefaction depth and the anti-liquefaction effect of the overlying stones are *** is shown that the seabed around the composite bucket foundation will be liquefied under 50 year return waves,the liquefaction width is approximately 1/3 of the wavelength,and the maximum liquefaction depth is approximately 1/4 of the wave *** addition,the overlying stones provide an effective anti-liquefaction ***,less porous overlying stones have a better anti-liquefaction effect.

关键词： Offshore wind turbine composite bucket foundation wave anti-liquefaction overlying stones

A New Species of Hemiphyllodactylus Bleeker,1860(Reptilia:Squamata)from Hunan Province,China

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Asian Herpetological Research 2020年第3期11卷 183-193页

作者： Bing ZHANG Tianyu QIAN Xiangjin JIANG bo cai Xuejian DENG Daode YANG Institute of Wildlife Conservation Central South University of Forestry and TechnologyChangsha 410004HunanChina Yueyan Branch of Hunan Dupangling National Nature Reserve Bureau Yongzhou 425300HunanChina Chengdu Institute of Biology Chinese Academy of SciencesChengdu 610041SichuanChina Hunan Normal University Changsha 410081HunanChina

A new species of gekkonid,Hemiphyllodactylus dupanglingensis ***.,is described based on six specimens from Hunan Province,*** new species is phylogenetically close to ***,***,***,and ***,and can be distinguished from its congeners by the following combination of cha racters:9-11 chin scales;postmental scales enlarged;9-12 infralabials,11-14 supralabials;14-16 dorsal scales and 10-11 ventral scales longitudinally arranged at the midbody contained with one eye diameter;a manual lamellar formula of 4-4-5-4 or 4-5-5-4 and a pedal lamellar formula of 4-5-5-5 or 5-6-6-4;21-25 continuous precloacal and femoral pores in males.

关键词： Hemiphyllodactylus dupanglingensis sp.nov. molecular phylogeny morphology slender gecko taxonomy

Electrospinning fabrication and ultra-wideband electromagnetic wave absorption properties of CeO_(2)/N-doped carbon nanofibers

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Nano Research 2022年第9期15卷 7788-7796页

作者： Pei-Yan Zhao Hui-Ya Wang bo cai Xiao-bo Sun Zhi-Ling Hou Jun-Tao Wu Ming Bai Guang-Sheng Wang School of Chemistry Beihang UniversityBeijing 100191China School of Electronics and Information Engineering Beihang UniversityBeijing 100191China College of Mathematics and Physics&Beijing Key Laboratory of Environmentally Harmful Chemical Analysis Beijing University of Chemical TechnologyBeijing 100029China

The impedance mismatch of carbon materials is a key factor limiting their widespread use in electromagnetic(EM)wave *** this work,the novel CeO_(2)/nitrogen-doped carbon(CeO_(2)/N-C)nanofiber was prepared to solve the problem by electrospinning and sintering.X-ray diffraction(XRD),Raman,X-ray photoelectron spectroscopy(XPS),and transmission electron microscopy(TEM)analyses demonstrated CeO_(2)was successfully loaded onto the surface of partially graphitized carbon *** sintering temperatures change the graphitization degree of material,and the oxygen vacancy structure of CeO_(2)and defects from N doping optimize the impedance matching of the *** the sintering temperature reaches 950℃,CeO_(2)/N-C fiber possesses the minimum reflection loss(RLmin)value of−42.59 dB at 2.5 mm with a filler loading of only 3 wt.%in polyvinylidene difluoride(PVDF).Meanwhile,the CeO_(2)/N-C fiber achieves a surprising wideband(8.48 GHz)at a thickness of 2.5 mm,covering the whole Ku-band as well as 63%of the X-band at the sintering temperature of 650℃.This work provides the research basis for widely commercial applications of carbon-based nanofiber absorbers.

关键词： electrospinning electromagnetic wave absorption CeO_(2)/N-doped carbon nanofiber wideband

A sustainable preparation strategy for the nitrogen-doped hierarchical biochar with high surface area for the enhanced removal of organic dye

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Biochar 2023年第1期5卷 1202-1221页

作者： Yiting Mao bo cai Ming Huang Xiaohuan Liu Wenbiao Zhang Zhongqing Ma College of Chemistry and Materials Engineering Zhejiang A&F University666 Wusu RoadHangzhou CityZhejiang Province 311300People’s Republic of China Zhejiang Provincial Key Laboratory of Plant Evolutionary Ecology and Conservation Taizhou UniversityTaizhou CityZhejiang Province 318000People’s Republic of China

Biochar is a potential porous carbon to remove the contaminants from aquatic ***,N-doped hierarchical biochar was produced by the combined approach of ammonia torrefaction pretreatment(ATP)and alkali *** could not only incorporate N element into poplar wood,but obtain the loose structure of poplar *** highest surface area of N-doped hierarchical biochar was 2324.61 m^(2) g^(−1) after ammonia wet torrefaction pretreatment,which was higher than that of activation carbon(1401.82 m^(2) g^(−1))without torrefaction pretreatment,the hierarchical biochar(2111.03 m^(2) g^(−1))without ammonia *** N-doped hierarchical biochar presented the highest adsorption capacity(564.7 mg g^(−1))of methyl orange(MO),which was 14.64-fold of that on biochar without N *** addition,the pseudo-second-order and Langmuir model fitted well with the adsorption kinetics and isotherms of the N-doped hierarchical *** incorporation of nitrogen element could not only tune the distribution of surface electrons on biochar,but optimize the ambient condition of adsorption active sites as *** adsorption of MO might occur on the N-/O-containing functional groups through the electrostatic interaction,theπ-πdispersion interaction,and the hydrogen *** density functional theory showed that the graphitic-N and pyridinic-N were the dominant adsorption active sites.

关键词： Poplar wood Ammonia torrefaction pretreatment N-doped biochar Adsorption Methyl orange