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BIVARIATE RATIONAL IN TERPOLANTS WITHRECtanGLE-HOLE-STRUCTURE

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Journal of Computational Mathematics 1999年第1期17卷 1-14页

作者： jie-qing tan(Institute of Applied Mathematics, Hefei University Of Technology, Hefei 230009, China) Hefei Univ Technol Inst Appl Math Hefei 230009 Peoples R China

Bivariate vector valued rational interpolants are established by means of Thiele-type branched continued fractions and Samelson inverse over rectangular grids with holes, characterisation theorem with topologic struct... 详细信息

关键词： branched continued fraction interpolation vector-grid

THE LIMITING CASE OF THIELE'S INTERPOLATING CONTINUED FRACTION EXPANSION

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Journal of Computational Mathematics 2001年第4期19卷 433-444页

作者： jie-qing tan (Institute of Applied Mathematics, College of Science and CAD/CG Division College of Computer & Information Hefei, University of Technology, Hefei 230009, China) 中国科学技术大学安徽合肥 230009

By means of the determinantal formulae for inverse and reciprocal differences with coincident data points, the limiting case of Thiele's interpolating continued fraction expansion is studied in this paper and given numerical example shows that the limiting Thiele's continued fraction expansion can be determined once for all instead of carrying out computations for each step to obtain each convergent as done in [3].

关键词： Continued fraction Inverse difference Reciprocal difference Expansion.

Ideal Bi‑Based Hybrid Anode Material for Ultrafast Charging of Sodium‑Ion Batteries at Extremely Low Temperatures

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Nano-Micro Letters 2025年第3期17卷 152-167页

作者： jie Bai Jian Hui Jia Yu Wang Chun Cheng Yang qing Jiang Key Laboratory of Automobile Materials(Jilin University) Ministry of EducationSchool of Materials Science and EngineeringJilin UniversityChangchun 130022People’s Republic of China

Sodium-ion batteries have emerged as competitive substitutes for low-temperature applications due to severe capacity loss and safety concerns of lithium-ion batteries at−20°C or ***,the key capability of ultrafast charging at ultralow temperature for SIBs is rarely ***,a hybrid of Bi nanoparticles embedded in carbon nanorods is demonstrated as an ideal material to address this issue,which is synthesized via a high temperature shock *** a hybrid shows an unprecedented rate performance(237.9 mAh g^(−1)at 2 A g^(−1))at−60℃,outperforming all reported SIB anode *** with a Na_(3)V_(2)(PO_(4))_(3)cathode,the energy density of the full cell can reach to 181.9 Wh kg^(−1)at−40°*** on this work,a novel strategy of high-rate activation is proposed to enhance performances of Bi-based materials in cryogenic conditions by creating new active sites for interfacial reaction under large current.

关键词： Bi nanoparticles High temperature shock High-rate activation Ultrafast charging Low-temperature sodium-ion batteries

Trinuclear gold-catalyzed site-selective alkylation of peptides

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Science China Chemistry 2025年第1期 249-256页

作者： qing-Yun Fang Chengyihan Gu Yinghan Chen Wencheng Yan Yong Liang Weipeng Li Chengjian Zhu jie Han Jin Xie State Key Laboratory of Coordination Chemistry Jiangsu Key Laboratory of Advanced Organic Materials Chemistry and Biomedicine Innovation Center (Chem BIC) School of Chemistry and Chemical Engineering Nanjing University Green Catalysis Center College of Chemistry Zhengzhou University State Key Laboratory of Natural Medicines China Pharmaceutical University

Selective modification of peptides has always been a challenging issue. The selective alkylation of peptides can alter the biological activity and physical properties of molecules, and it has gained significant research interest. We herein disclose an intriguing gold-catalyzed alkylation of peptides using bench-stable unactivated alkyl bromides under photoredox catalysis. A wide range of structurally diverse primary, secondary and tertiary alkyl bromides serve as effective coupling partners to precisely connect with the α-C(sp3)–H in glycine residue of peptides. This protocol demonstrates an exceptionally broad scope for alkyl halides and excellent tolerance for a wide range of useful functional groups. A series of relay transformations to construct cyclic peptides, to proceed click reaction and to realize peptide fluorescence labeling further enhance its synthetic practicality. In addition, mechanistic studies and density functional theory(DFT) calculations reveal an inner-sphere and subsequent outersphere single electron transfer(SET) mechanism.

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A Class of Iterative Formulae for Solving Equations

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Journal of Mathematical Research and Exposition 2010年第2期30卷 217-226页

作者： Sheng Feng LI1,2,3, jie qing tan1,2, Jin XIE1,2,4, Xing HUO1,2 1. School of Computer & Information, Hefei University of Technology, Anhui 230009, P. R. China 2. Institute of Applied Mathematics, Hefei University of Technology, Anhui 230009, P. R. China 3. Department of Mathematics & Physics, Bengbu College, Anhui 233030, P. R. China 4. Department of Mathematics & Physics, Hefei University, Anhui 230601, P. R. China School of Computer & Information Hefei University of Technology Anhui 230009

Using the forms of Newton iterative function, the iterative function of Newton’s method to handle the problem of multiple roots and the Halley iterative function, we give a class of iterative formulae for solving equations in one variable in this paper and show that their convergence order is at least quadratic. At last we employ our methods to solve some non-linear equations and compare them with Newton’s method and Halley’s method. Numerical results show that our iteration schemes are convergent if we choose two suitable parametric functions λ（x） and μ（x）. Therefore, our iteration schemes are feasible and effective.

关键词： Non-linear equation iterative function order of convergence Newton's method Halley's method.

Fracture morphology and crack mechanism in pure polycrystalline magnesium under tension-compression fatigue testing

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Rare Metals 2020年第2期39卷 162-168页

作者： Li tan Xi-Yan Zhang Ting Xia Guang-jie Huang qing Liu College of Materials Science and Engineering Chongqing UniversityChongqing400045China National Engineering Research Centre for Magnesium Alloy Chongqing UniversityChongqing400045China

The fatigue fracture was characterized and the fracture behavior was analyzed,using scanning electron microscope(SEM)and electron back-scattered diffraction(EBSD),the fatigue tests of two strain amplitude at room temperature were 0.5%and 1.0%respectively,and the results showed that the fatigue deformation of different strain amplitude produced two typical fatigue fracture morphology,and when the strain amplitude was 1.0%,fatigue fracture mechanism of AZ31 magnesium alloy induced by{1012}twins,when the strain amplitude is 0.5%,it was induced by{1012}-{1012}double *** the present study,the average thickness of primary twin is^20μm at amplitude of 0.5%and^80μm at amplitude of 1.%.The thickness of{1012}primary twins was large enough to activate{1012}-{1012}secondary twins at a high strain amplitude,while the thickness of{1012}primary twins was too narrow to activate{1012}-{1012}secondary twins at a low strain amplitude.

关键词： Deformation twinning Magnesium Fracture Fatigue

Techniques for increasing the yield of stem cell-derived exosomes:what factors may be involved?

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Science China(Life Sciences) 2022年第7期65卷 1325-1341页

作者： Zi-Yuan Feng qing-Yi Zhang jie tan Hui-Qi Xie Laboratory of Stem Cell and Tissue Engineering Orthopedic Research InstituteMed-X Center for MaterialsState Key Laboratory of BiotherapyWest China HospitalSichuan UniversityChengdu 610041China

Exosomes are nano-scale extracellular vesicles secreted by cells and constitute an important part in the cell-cell *** main contents of the exosomes include proteins,micro RNAs,and *** mechanism and safety of stem cell-derived exosomes have rendered them a promising therapeutic strategy for regenerative ***,limited yield has restrained full explication of their functions and clinical *** address this,various attempts have been made to explore the up-and down-stream manipulations in a bid to increase the production of *** review has recapitulated factors which may influence the yield of stem cell-derived exosomes,including selection and culture of stem cells,isolation and preservation of the exosomes,and development of artificial exosomes.

关键词： exosome stem cell yield therapy

A family of quasi-cubic blended splines and applications

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2006年第9期7卷 1550-1560页

作者： SU Ben-yue tan jie-qing School of Computer ＆ Information Hefei University of Technology Hefei 230009 China Department of Mathematics Anqing Teachers College Anqing 246011 China Institute of Applied Mathematics Hefei University of Technology Hefei 230009 China

A class of quasi-cubic B-spline base functions by trigonometric polynomials are established which inherit properties similar to those of cubic B-spline bases. The corresponding curves with a shape parameter a, defined by the introduced base functions, include the B-spline curves and can approximate the B-spline curves from both sides. The curves can be adjusted easily by using the shape parameter a, where dpi（a,t） is linear with respect to da for the fixed t. With the shape parameter chosen properly, the defined curves can be used to precisely represent straight line segments, parabola segments, circular arcs and some transcendental curves, and the corresponding tensor product surfaces can also represent spherical surfaces, cylindrical surfaces and some transcendental surfaces exactly. By abandoning positive property, this paper proposes a new C^2 continuous blended interpolation spline based on piecewise trigonometric polynomials associated with a sequence of local parameters. Illustration showed that the curves and surfaces constructed by the blended spline can be adjusted easily and freely. The blended interpolation spline curves can be shape-preserving with proper local parameters since these local parameters can be considered to be the magnification ratio to the length of tangent vectors at the interpolating points. The idea is extended to produce blended spline surfaces.

关键词： Blended spline interpolation C^2 continuity Global parameters Local parameters Quasi-cubic spline Trigonometric polynomials

Growth and properties of hydrogenated microcrystalline silicon thin films prepared by magnetron sputtering with different substrate temperatures

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Rare Metals 2022年第3期41卷 1037-1042页

作者： Lin-qing Wang Wei-Yan Wang Jin-Hua Huang Rui-Qin tan Wei-jie Song Jian-Min Chen State Key Laboratory of Solid Lubrication Lanzhou Institute of Chemical PhysicsChinese Academy of SciencesLanzhou 730000China University of Chinese Academy of Sciences Beijing 100049China Ningbo Institute of Material Technology and Engineering Chinese Academy of SciencesNingbo 315201China Faculty of Information Science and Engineering Ningbo UniversityNingbo 315211China

Hydrogenated microcrystalline silicon (μcSi:H) thin films were deposited by an radio frequency (RF)(13.56 MHz) magnetron sputtering at different substrate temperatures (100–300℃), and the influences of substrate temperature on the growth and properties ofμc-Si:H thin films were investigated. Surface roughness and crystallinity of the thin films increase as substrate temperature increases. And all thin films are at the transition region(X_(c)=49.2%~61.0%). Theμc-Si:H thin films deposited at lower substrate temperature (≤200℃) represent a weak(220) preferred orientation, while the thin films deposited at higher substrate temperature (≥250℃) exhibit a weak(111) preferred orientation. The μc-Si:H thin films have a dense structure, and the structural compactness of the thin films slightly increases with substrate temperature increasing. The Fourier transform infrared spectroscopy (FTIR) results indicate that theμc-Si:H thin films have a low hydrogen content (3.9 at%–5.6 at%), which is in favor of reducing light-induced degradation effect.

关键词： μc-Si:H thin films Magnetron sputtering Substrate temperature Hydrogen content