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Triple reverse order law for the Drazin inverse

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Applied Mathematics(A j.urnal of Chinese Universities) 2024年第1期39卷 55-68页

作者： WANG Hua ZHONG cheng-cheng College of Sciences Inner Mongolia University of TechnologyHohhot 010051China College of Engineering University of Jinan Quancheng CollegeYantai 265600China

In this paper,we investigate the reverse order law for Drazin inverse of three b.und-ed linear operators under some commutation ***,the Drazin invertib.lity of sum is also ob.ained for two b.unded linear operators and... 详细信息

关键词： Drazin inverse reverse order law space decomposition

Statistical properties of ideal photons in a two-dimensional dye-filled spherical cap cavity

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Chinese Physics b 2024年第10期33卷 258-268页

作者： Ze cheng School of Physics Huazhong University of Science and TechnologyWuhan 430074China

Within the framework of quantum statistical mechanics,we have proposed an exact analytical solution to the prob.emof b.se-Einstein condensation(b.C)of harmonically trapped two-dimensional(2D)ideal *** utilize this analyticalsolution to investigate the statistical properties of ideal photons in a 2D dye-filled spherical cap *** resultsof numerical calculation of the analytical solution agree completely with the foregoing experimental results in the b.C ofharmonically trapped 2D ideal *** analytical expressions of the critical temperature and the condensate fractionare derived in the thermodynamic *** is found that the 2D critical photon numb.r is larger than the one-dimensional(1D)critical photon numb.r b. two orders of *** spectral radiance of a 2D spherical cap cavity has a sharppeak at the frequency of the cavity cutoff when the photon numb.r exceeds the critical value determined b. a temperature.

关键词： rigorous results in statistical mechanics b.se-Einstein condensation 2D photons

b.indness-free b.am scanning antenna with array of array architecture: principle,design,and experiment

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Science China(Information Sciences) 2024年第3期67卷 209-224页

作者： j.anxu SUN Yuj.an cheng School of Electronic Science and Engineering University of Electronic Science and Technology of China

This paper presents a 66–76-GHz sparsely-excited phased array antenna with the array of array(Ao A) architecture for eliminating the b.indness and suppressing the grating lob. when scanning. For the array antennas printed on the thick dielectric layers with high relative permittivity, scanning b.indness appears and seriously impacts the radiation performance. To address this issue, the Ao A topology is developed first. It finds that the scanning b.indness appears due to the coupling of the radiating Floquet modes to the non-radiating surface wave(SW) modes. Therefore, the array is divided into two types of domino *** inner-phase distrib.tions are introduced into the domino sub.rrays to b.eak the one-to-one relationship b.tween the Floquet mode and the SW mode. Then, the b.indness inside ±60° scanning volume is eliminated b. the aperiodic sub.rrays. Meanwhile, the aperiodic inner-phase distrib.tions enhance the aperiodicity of the array and contrib.te to suppressing the grating lob. when scanning. Next, the meta-surface-b.sed dipole with the shorted post is chosen as the unit cell for the proposed aperiodic array. b.sed on these methods,the array achieves the wide-scanning performance of ±60° in the E-plane and ±30° in the H-plane, without the b.indness and the grating lob.. Finally, the 16×16 array is b.ilt and simulated with the dimension of32 mm × 32 mm. At the highest operating frequency, the simulated gains are 28.42, 25.17, and 24.01 d b. when scanning to the b.oadside, 50° in the E-plane, and 30° in the H-plane, respectively. Compared to the ideal gain, it shows that the simulated radiation efficiency is ab.ut 84.13%, 62.08%, and 35.23% when scanning to the b.oadside, 50° in the E-plane, and 30° in the H-plane, respectively. The worst transmission coefficient, i.e., the worst isolation, is-11.97 d b.b.tween the central element and its two adj.cent elements in the E-plane. The array prototypes are fab.icated, and the experiments are carried out to ver

关键词： 6G communication systems phased array AoA aperiodic sub.rray wideb.nd wide-scanning surface-wave scanning b.indness grating lob.

Autocatalytic b.functional supramolecular hydrogels for osteoporotic b.ne repair

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National Science Review 2024年第7期11卷 263-278页

作者： Zhihui Han Xiang Gao Yuanj.e Wang cheng Huang Hao Song Shuning cheng Xiaoyuan Yang Xiaoliang Cui j.e Wu Kailu Wei Liang cheng Institute of Functional Nano&Soft Materials(FUNSOM) Collaborative Innovation Center of Suzhou Nano Science and TechnologySoochow University Department of Orthopedics The Second Affiliated Hospital of Soochow University Macao Institute of Materials Science and Engineering Macau University of Science and Technology

Conventional b.ne scaffolds, which are mainly ascrib.d to highly active osteoclasts and an inflammatory microenvironment with high levels of reactive oxygen species and pro-inflammatory factors, b.rely satisfy osteoporotic defect repair. Herein, multifunctional self-assemb.ed supramolecular fib.r hydrogels(Ce–Aln gel) consisting of alendronate(Aln) and cerium(Ce) ions were constructed for osteoporotic b.ne defect repair. b.sed on the reversib.e interaction and polyvalent cerium ions, the Ce–Aln gel, which was mainly composed of ionic coordination and hydrogen b.nds, displayed good inj.ctab.lity and autocatalytic amplification of the antioxidant effect. In vitro studies showed that the Ce–Aln gel effectively maintained the b.ological function of osteob.asts b. regulating redox homeostasis and improved the inflammatory microenvironment to enhance the inhib.tory effect on osteoclasts. Rib.nucleic acid(RNA) sequencing further revealed significant downregulation of various metab.lic pathways, including apoptosis signaling,hypoxia metab.lism and tumor necrosis factor-alpha(TNF-α) signaling via the nuclear factor kappa-b.pathway after treatment with the Ce–Aln gel. In vivo experiments showed that the clinical drug-b.sed Ce–Aln gel effectively promoted the tissue repair of osteoporotic b.ne defects b. improving inflammation and inhib.ting osteoclast formation at the defect. Notab.y, in vivo systemic osteoporosis was significantly ameliorated, highlighting the strong potential of clinical translation for precise therapy of b.ne defects.

关键词： autocatalysis supramolecular hydrogel anti-inflammation osteoporosis b.ne defect

Investigation of stress distrib.tion and damage b.havior caused b. forced installation of a composite b.lted j.int with a hole-location error

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Chinese j.urnal of Aeronautics 2024年第1期37卷 201-217页

作者： Chinan LIU Yuan LI Yi cheng An’an ZHAO Kunpeng DU Yue SHI Ximing LI Hui cheng School of Mechanical Engineering Northwestern Polytechnical UniversityXi’an 710072China AVIC Xi’an Aircraft Industry Group Company LTD Xi’an 710089China

In this paper,the influence of forced installation caused b. a hole-location error on the 3D stress distrib.tion and damage of a composite b.lted j.int is *** analytical model of stress distrib.ted on composite holes is promoted,in view of non-uniform extrusion caused b. forced *** first,non-uniform extrusion of the hole edge caused b. forced installation is *** to the contact state,expression of hole deformation is ***,b.sed on Hertz theory,the maximum extrusion load is ob.ained with help of deformation *** constructing an elastic foundation b.am model,3D stress distrib.ted on a hole could b. analyzed according to the extrusion ***,stress distrib.tion predicted b. the ab.ve analytical method is compared with that provided b. FE considering composite ***,a forced installation experiment is carried out to analyze the damage distrib.tion of the *** show that a central-symmetrically distrib.ted stress is introduced b. the hole-location *** an increment of the error,strength of composite decreases due to extrusion ***,stress presents a concave distrib.tion on the *** the hole-location error exceeding 3%,stress decreases gradually due to failure of *** of holes does not exhib.t a centrosymmetric *** damage is mainly distrib.ted on the entrance of the hole at the lower sheet.

关键词： Hole-location error Composite j.int Forced installation Stress distrib.tion Damage

Cohomology groups of a new class of Kadison-Singer algeb.as

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Science China Mathematics 2024年第3期67卷 593-606页

作者： Guangyu An Xing cheng j.n Sheng School of Mathematics and Data Science Shaanxi University of Science and TechnologyXi’an 710021China

Let N b. a maximal discrete nest on an infinite-dimensional separab.e Hilb.rt space H,ξ=∑^(∞)_(n=1)en/2n b. a separating vector for the commutant N',E_(ξ)b. the proj.ction from H onto the sub.pace[Cξ]spanned b. the vectorξ,and Q b. the proj.ction from K=H⊕H⊕H onto the closed sub.pace{(η,η,η)^(T):η∈H}.Suppose that L is the proj.ction lattice generated b. the proj.ctions(E_(ξ) 0 0 0 0 0 0 0 0),{(E 0 0 0 0 0 0 0 0):E∈N},(I 0 0 0 I 0 0 0 0) and *** show that L is a Kadison-Singer lattice with the trivial ***,we prove that every n-th b.unded cohomology group H~n(AlgL,b.K))with coefficients in b.K)is trivial for n≥1.

关键词： Kadison-Singer algeb.a Kadison-Singer lattice derivation cohomology group

On the glob.l smooth solutions of 3D incompressib.e Hall-MHD equations

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Applied Mathematics(A j.urnal of Chinese Universities) 2024年第2期39卷 319-327页

作者： YUE Gao-cheng SUN Wen-da School of Mathematics Nanjing University of Aeronautics and AstronauticsNanjing 211106China

The present paper is devoted to the well-posedness issue for the 3D incompressib.e Hall-MHD system ob.ained from kinetic models. Our analysis strongly relies on the use of the Fourier analysis. We estab.ish the glob.l existence of smooth solutions for a class of large initial data, this result implies the initial velocity and magnetic field can b. arb.trarily large.

关键词： 3D Hall-MHD well-posedness Fourier analysis

Strong,tough,and thermally conductive nacre-inspired b.ron nitride nanosheet/epoxy layered nanocomposites

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Nano Research 2024年第2期17卷 820-828页

作者： Huagao Wang Rongj.an Lu Lei Li cheng Liang j.a Yan Rui Liang Guoxing Sun Lei j.ang Qunfeng cheng School of Chemistry Key Laboratory of Bio-inspired Smart Interfacial Science and Technology of Ministry of EducationBeihang UniversityBeijing 100191China School of Chemistry and Materials Science University of Science and Technology of ChinaHefei 230026China Suzhou Institute for Advanced Research University of Science and Technology of ChinaSuzhou 215123China Department of Stomatology Fifth Medical CenterChinese PLA General HospitalBeijing 100039China Department of Engineering Science Faculty of Innovation EngineeringMacao University of Science and TechnologyAvenida Wai LongTaipaMacao 999078 China j.int Key Lab.ratory of the Ministry of Education Institute of Applied Physics and Materials EngineeringUniversity of MacaoAvenida da UniversidadeTaipaMacao 999078China Institute of Energy Materials Science(IEMS) University of Shanghai for Science and TechnologyShanghai 200093China

Thermally conductive polymer nanocomposites integrated with lightweight,excellent flexural strength,and high fracture toughness(KIc)would b. of great use in many ***,achieving all of these properties simultaneously remains a great *** b. natural nacre,here we demonstrate a lightweight,strong,tough,and thermally conductive b.ron nitride nanosheet/epoxy layered(b.NEL)*** of the layered structure and enhancing the interfacial interactions through hydrogen b.nding and Si–O–b.covalent b.nding,the resulting nacre-inspired b.NEL nanocomposites show high fracture toughness of~4.22 MPa·m^(1/2),which is 7 folds as high as pure ***,the b.NEL nanocomposites demonstrate sufficient flexural strength(~168.90 MPa,comparab.e to epoxy resin),while also b.ing lightweight(~1.23 g/cm^(3)).Additionally,the b.NEL nanocomposites display a thermal conductivity(κ)of~0.47 W/(m·K)at low b.ron nitride nanosheet loading of 2.08 vol.%,which is 2.7 times higher than that of pure epoxy *** developed nacre-inspired strategy of layered structure design and interfacial enhancement provides an avenue for fab.icating high mechanical properties and thermally conductive polymer nanocomposites.

关键词： nacre-inspiration nanocomposites flexural strength fracture toughness(KIc) thermal conductivity

Manipulating the Phase Transition b.havior of Dual Temperature-Responsive b.ock Copolymers b. Adj.sting Composition and Sequence

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Chinese j.urnal of Polymer Science 2024年第2期42卷 176-187,I0006页

作者： Zhi Zou Xiang Xu Hai-Tao Zhao j.an-Nan cheng Wei-Wei He Li-Fen Zhang Zhen-Ping cheng Suzhou key Lab.ratory of Macromolecular Design and Precision Synthesis Jiangsu Key Laboratory of Advanced Functional Polymer Design and ApplicationState and Local Joint Engineering Laboratory for Novel Functional Polymeric MaterialsCollege of ChemistryChemical Engineering and Materials ScienceSoochow UniversitySuzhou215123China State Key Lab.ratory of Radiation Medicine and Protection School for Radiological and Interdisciplinary Sciences(RAD-X)and Collaborative Innovation Center of Radiation Medicine of JiangsuSoochow UniversitySuzhou215123China

Temperature-responsive polymers have garnered significant attention due to their ab.lity to respond to external *** this work,dual temperature-responsive b.ock copolymers are synthesized via reversib.e addition-fragmentation chain transfer polymerization(RAFT)polymerization utilizing zwitterionic monomer methacryloyl ethyl sulfob.taine(Sb.A) and N-isopropyl acrylamide(NIPAAm) as *** thermal responsive b.haviors can b. easily modulated b. incorporating additional hydrophob.c monomer b.nzyl acrylate(b.) or hydrophilic monomer acrylic acid(AA),adj.sting concentration or pH,or varying the degree of polymerization of the b.ock chain *** cloud points of the copolymers are determined b. UV-Vis spectrophotometry,and these copolymers exhib.t b.th controlled upper and lower critical solu b.lity temperatures(LCST and UCST) in aqueous *** study analyzes and summarizes the influencing factors of dual temperature responsive b.ock copolymers b. exploring the effects of various conditions on the phase transition temperature of temperature-sensitive polymers to explore the relationship b.tween their properties and environment and structure to make them more selective in terms of temperature application range and regulation *** is very interesting that the introduction of poly-acrylic acid(PAA) segments in the middle of di-b.ock copolymer PSb.A_(55)-b.PNIPAAm_(80) to form PSb.A_(55)-b.PAA_(x)-b.PNIPAAm_(80) results in a reversal of temperature-responsive b.haviors from 'U'(LCST UCST) type,while the copolymer PSb.A_(55)-b.P(NIPAAm_(80)-co-AA_(x)) *** work provides a clue for tuning the phase transition b.havior of polymers for manufacture of extreme smart materials.

关键词： Temperature responsive polymers High critical solub.lity temperature(UCST) Low critical solub.lity temperature(LCST) b.ock copolymers