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A SUFFICIENT CONDITION OF CONVERGENCE FOR CliFFORD CONTINUED FRACTIONS

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Acta Mathematica Scientia 2011年第1期31卷 8-14页

作者：李永群王仙桃 department of mathematics Hunan University department of mathematics Hunan Normal University

In this article, a sufficient condition for a Clifford continued fraction to be convergent is established, and some applications are given.

关键词： Clifford continued fraction sufficient condition convergence application

NOTE ON REGULAR D-OPTIMAL MATRICES

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Chinese Annals of mathematics,Series B 2003年第2期24卷 215-220页

作者： li QIAOliANG department of mathematics, hunan normal university, changsha 410081, china. Center for Combinatorics, Nankai university, Tianjin 300071, china. E-mail: liqiaoliang@*** hunan normal Univ Dept Math Changsha 410081 Peoples R China Nankai Univ Ctr Combinator Tianjin 300071 Peoples R China

Let A be a j x d (0,1) matrix. It is known that if j = 2k - 1 is odd, then det(AAT) ≤ (j+1)((j+1)d/4j)j; if j is even, then det(AAT) ≤ (j+1)((j+2)d/4(j+1))j. A is called a regular D-optimal matrix if it satisfies the equality of the above bounds. In this note, it is proved that if j = 2k - 1 is odd, then A is a regular D-optimal matrix if and only if A is the adjacent matrix of a (2k - 1, k, (j + l)d/4j)-BIBD; if j = 2k is even, then A is a regular D-optimal matrix if and only if A can be obtained from the adjacent matrix B of a (2k + 1,k + 1,(j + 2)d/4(j +1))-BIBD by deleting any one row from B. Three 21 x 42 regular D-optimal matrices, which were unknown in [11], are also provided.

关键词： Regular .D-optimal matrices Simplex Weighing design

REFINED CONNECTIVITY PROPERTIES OF ABEliAN CAYLEY GRAPHS

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Chinese Annals of mathematics,Series B 1998年第4期19卷 409-414页

作者： li QIAOliANG (department of Applied mathematics, Shanghai Jiaotong university, Shanghai 200030, chinaPresend in department of mathematics, hunan normal university, changsha 410082, china.)li QIAO (department of Applied mathematics, Shanghai Jiaotong Univ Shanghai Jiao Tong Univ Dept Appl Phys Shanghai 200030 Peoples R China hunan normal Univ Dept Math Changsha 410082 Peoples R China

Restricted edge connectivity of a graph G is defined to be the minimum size |U| of a set U of edges such that G-U is disconnected and G-U contains no trivial component K1. The high order edge connectivity Ni, i1, is the number of edge outsets of size i. TO determine all Ni, i 1, for a general graph is NP-hard. In this paper, the authors evaluated the restricted edge connectivity and the high order edge connectivity Ni, 1 i -1, for any connected Abelian Cayley graphs explicitly.

关键词： Abelian Cayley graph Restricted edge connectivity High order edge connectivity

Mimotope peptide modified pompon mum-like magnetic microparticles for precise recognition,capture and biotransformation analysis of rituximab in biological fluids

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Acta Pharmaceutica Sinica B 2024年第3期14卷 1317-1328页

作者： Jiawen Yang Aixuan Zhou minyi li Qiaoxian He Jingwei Zhou Jacques Crommen Wentao Wang Zhengjin Jiang Qiqin Wang Institute of Pharmaceutical Analysis College of Pharmacy/State Key Laboratory of Bioactive Molecules and Druggability Assessment/International Cooperative Laboratory of Traditional Chinese Medicine Modernization and Innovative Drug Development of Ministry of Education(MOE)of ChinaJinan UniversityGuangzhou 510632China Laboratory for the Analysis of Medicines Department of Pharmaceutical SciencesCIRMUniversity of LiegeLiege B-4000Belgium SCIEX Shanghai 200050China

Due to low immobilized ligand density,limited binding capacity,and severe interference from serum proteins,developing ideal peptide-based biomaterials for precise recognition and in vivo analysis of biopharmaceuticals remains a huge *** this study,mimotope peptide modified pompon mum-like biomimetic magnetic microparticles(MMPs,3.8μm)that mimic the specific functionalities of CD20 on malignant B cells were developed for the first *** from the numerous ligand binding sites(Ni^(2+))on the pompon mum-like MMPs,these novel materials achieved≥10 times higher peptide ligand densities(>2300 mg/g)and antibody binding capacities(1380 mg/g)compared to previous reported *** the high specificity of the mimotope peptide,rituximab can be precisely recognized and enriched from cell culture media or serum *** also established an LC-MS/MS method using the MMPs for tracking rituximab biotransformation in patient ***,deamidation of Asn55 and Asn33,as well as oxidation of Met81 and Met34 were observed at the key complementarity determining regions of rituximab,which could potentially influence antibody function and require careful ***,these versatile biomimetic MMPs demonstrate superior recognition and enrichment capabilities for target antibodies,offering interesting possibilities for biotransformation analysis of biopharmaceuticals in patient serum.

关键词： Therapeutic monoclonal antibody Mimotope peptide Precise recognition Peptide-based biomaterials Biotransformation Patient serum

One-step controlled electrodeposition nickel sulfides heterointerfaces favoring the desorption of hydroxyl groups for efficient hydrogen generation

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Rare Metals 2024年第9期43卷 4377-4386页

作者： Ru-Chun li Xin-yue Zhang Ze-yue Qu Feng-Yi liu Quan-Qing Xu Zhao-Xia Hu Jing-Wei li Mohamed-Nawfal Ghazzal Jin-li Yu Faculty of Chemistry and Chemical Engineering Yunnan Normal UniversityKunming 650500China Foshan Gaoke Hechuang Technology Co. Ltd.Foshan 528200China School of Chemistry and Chemical Engineering Guangzhou UniversityGuangzhou 510006China Universite Paris-Saclay UMR 8000 CNRSInstitut de Chimie PhysiqueOrsay 91405France department of Chemistry City University of Hong KongHong Kong 999077China

The heterointerface engineering involving different components or phases represents a desirable strategy for enhancing the sluggish kinetics of hydrogen evolution reaction(HER).However,constructing desired heterointerfaces and elucidating the reaction mechanisms on the interface remains a considerable *** this work,we propose a straightforward electrochemical synthesis strategy to prepare the nickel sulfide-based heterointerfaces for *** mechanism of electrochemical synthesis is revealed,wherein metal-thiourea species can be formed at the cathode potential and subsequently oxidized to nickel sulfides at the anode *** this mechanism,a range of nickel sulfides,including NiS,Ni_(3)S_(2)/NiS,Ni/Ni_(3)S_(2)and Ni_(3)S_(2),have been successfully synthesized by tuning the potential range of cyclic *** these,the obtained Ni_(3)S_(2)/NiS@CC(CC:carbon cloth)exhibits the smallest overpotential of84 mV at 10 mA·cm^(-2)and high *** calculations further reveal that the combination of NiS and Ni_(3)S_(2)induces electron redistribution at the interface,and thus the Volmer process is effectively promoted with faster water dissociation and OH desorption ***,the simplicity method coupled with a clear synthesis mechanism and outstanding HER performance highlights its promising potential for practical applications.

关键词： Hydrogen evolution reaction Heterointerfaces OH desorption kinetics Electrochemical synthesis

On the Cayley-Bacharach property and the construction of vector bundles

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Science china mathematics 2011年第9期54卷 1891-1898页

作者： SUN Hao 1,2 1 department of mathematics and Statistics,Huazhong normal university,Wuhan 430079,china 2 department of mathematics,East china normal university,Shanghai 200241,china 1. department of mathematics and Statistics Huazhong Normal University Wuhan 430079 China2. Department of Mathematics East China Normal University Shanghai 200241 China

We study the Cayley-Bacharach property on complex projective smooth varieties of dimension n≥2 for zero dimensional subscheme defined by the zero set of the wedge of r-n + 1 global sections of a rank r≥n vector bund... 详细信息

关键词： Cayley-Bacharach property vector bundle reflexive sheaf k-very ample

Latest assessment methods for mitochondrial homeostasis in cognitive diseases

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Neural Regeneration Research 2024年第4期19卷 754-768页

作者： Wei You yue li Kaixi liu Xinning Mi Yitong li Xiangyang Guo Zhengqian li department of Anesthesiology Peking University Third Hospital Peking university Third Clinical Medical College Beijing Center of Quality Control and Improvement on Clinical Anesthesia Anesthesia and Perioperative Medicine Branch of china International Exchange and Promotive Association for Medical and Health Care(CPAM)

Mitochondria play an essential role in neural function,such as supporting normal energy metabolism,regulating reactive oxygen species,buffering physiological calcium loads,and maintaining the balance of morphology,subcellular distribution,and overall health through mitochondrial *** the recent technological advances in the assessment of mitochondrial structure and functions,mitochondrial dysfunction has been regarded as the early and key pathophysiological mechanism of cognitive disorders such as Alzheimer’s disease,Parkinson’s disease,Huntington’s disease,mild cognitive impairment,and postoperative cognitive *** review will focus on the recent advances in mitochondrial medicine and research methodology in the field of cognitive sciences,from the perspectives of energy metabolism,oxidative stress,calcium homeostasis,and mitochondrial dynamics(including fission-fusion,transport,and mitophagy).

关键词： cognitive disorders mitochondrial dysfunction mitochondrial energy metabolism mitochondrial dynamics mitochondrial transport mitophagy mitochondrial biogenesis oxidative stress calcium homeostasis

Strong uniqueness of best approximations in spaces of bounded linear operators

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Science china mathematics 2004年第3期47卷 339-351页

作者： li Chong HE Jinsu department of mathematics, Zhejiang university Hangzhou 310027, china department of mathematics, Zhejiang normal university Jinhua 321004, china 1. department of mathematics Zhejiang University 310027 Hangzhou China 2. department of mathematics Zhejiang Normal University 321004 Jinhua China

The present paper is concerned with problems of the strong uniqueness of the best approximation and the characterization of a uniqueness element in operator *** results on the strong uniqueness of the best approximation operatorfrom RS-sets are proved and the uniqueness element of a sun in the compactoperator space from c0 to c0 is characterized by the strict Kolmogorov's *** recent results due to Lewicki and others are extended and improved.

关键词： best approximation operator, RS-set, sun, strong uniqueness, uniqueness element.

Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms

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Science china mathematics 2005年第2期48卷 185-197页

作者： li Huiling & WANG Mingxin department of mathematics, Southeast university, Nanjing 210018, china department of mathematics, Xuzhou normal university, Xuzhou 221116, china 1. department of mathematics Southeast University 210018 Nanjing China 2. department of mathematics Xuzhou Normal University 221116 Xuzhou China

This paper deals with the blow-up properties of the solution to a semilinear parabolic system with localized nonlinear reaction terms, subject to the null Dirichlet boundary condition. We first give sufficient conditions for that the classical solution blows up in the finite time, secondly give necessary conditions and a sufficient condition for that two components blow up simultaneously, and then obtain the uniform blow-up profiles in the interior. Finally we describe the asymptotic behavior of the blow-up solution in the boundary layer.

关键词： parabolic system, localized nonlinear reaction terms, blow-up profiles, boundary layer size.