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Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains

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Science China Mathematics 2024年第8期67卷 1827-1864页

作者： Xiaoshu Ge Chunping zhong School of Mathematical Sciences Xiamen UniversityXiamen 361005China

In this paper,a class of holomorphic invariant metrics is introduced on the irreducible classical domains of typesⅠ-Ⅳ,which are strongly pseudoconvex complex Finsler metrics in the strict sense of Abate and Patrizio(1994).These metrics are of particular interest in several complex variables since they are holomorphic invariant complex Finsler metrics found in the literature which enjoy good regularity as well as strong pseudoconvexity and can be explicitly expressed to admit differential geometry *** are,however,not necessarily Hermitian quadratic as the Bergman *** metrics are explicitly constructed via deformation of the corresponding Bergman metric on the irreducible classical domains of typesⅠ-Ⅳ,respectively,and they are all proved to be complete K?hler-Berwald *** enjoy very similar curvature properties as those of the Bergman metric on the irreducible classical domains,i.e.,their holomorphic sectional curvatures are bounded between two negative constants and their holomorphic bisectional curvatures are always nonpositive and bounded below by negative constants,*** the viewpoint of complex analysis,these metrics are analogs of Bergman metrics in complex Finsler geometry which do not necessarily have Hermitian quadratic restrictions in the sense of Chern(1996).

关键词： holomorphic invariant metric Kahler-Berwald metric irreducible classical domains

Gyroscope Dynamic Balance Counterweight Prediction Based on Multi-Head ResGAT Networks

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Computer Modeling in Engineering & Sciences 2024年第6期139卷 2525-2555页

作者： Wuyang Fan Shisheng zhong School of Mechanical Engineering Harbin Institute of TechnologyHarbin150000China

The dynamic balance assessment during the assembly of the coordinator gyroscope significantly impacts the guidance accuracy of precision-guided *** dynamic balance debugging,reliance on rudimentary counterweight empirical formulas persists,resulting in suboptimal debugging accuracy and an increased repetition *** mitigate this challenge,we present a multi-head residual graph attention network(ResGAT)model,designed to predict dynamic balance counterweights with high *** this research,we employ graph neural networks for interaction feature extraction from assembly graph *** SDAE-GPC model is designed for the assembly condition classification to derive graph data inputs for the ResGAT regression model,which is capable of predicting gyroscope counterweights under small-sample *** results of our experiments demonstrate the effectiveness of the proposed approach in predicting dynamic gyroscope counterweight in its assembly *** approach surpasses current methods in mitigating repetition rates and enhancing the assembly efficiency of gyroscopes.

关键词： Gyroscope counterweight assembly small-sample ResGAT repetition rate

Localization of q-form fields on a de Sitter brane in chameleon gravity

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Frontiers of physics 2024年第3期19卷 11-18页

作者： Yi zhong Tao-Tao Sui School of Physics and Electronics Science Hunan UniversityChangsha 410082China Lanzhou Center for Theoretical Physics Key Laboratory of Theoretical Physics of Gansu Provinceand Key Laboratory of Quantum Theory and Applications of MoELanzhou UniversityLanzhou 730000China College of Physics Nanjing University of Aeronautics and AstronauticsNanjing 211106China

Recently,it was found that the vector field can be naturally localized on the thick brane in chameleon *** this work,we extend this study to encompass de Sitter brane *** focus on the localization of q-form *** scalar and vector fields can be localized on the de Sitter brane,while the KR field cannot be *** condition for localization of the scalar and vector fields is ***,we investigate the localization characteristics in two examples with given conformal factor b(ϕ).In the first case,the effective potentials and KK modes of the matter fields are obtained asymmetric even though the de Sitter brane has Z2 *** the second case,volcano-like effective potentials are generated in the de Sitter brane model.

关键词： brane q-form field chameleon gravity

Efficacy of Chinese Medicine Treatment Based on Syndrome Differentiation for Primary Insomnia:A Randomized Placebo Controlled Triple-Blinded Trial

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Chinese Journal of Integrative Medicine 2024年第10期30卷 867-876页

作者： XIONG Zhi-yi LU Ying HE Li-yun ZHang Run-shun ZHOU Xue-zhong LI Peng LIU Yan-jiao ZHU Jian-gui YAN Shi-yan LIU bao-yan International Acupuncture and Moxibustion Innovation Institute School of Acupuncture-Moxibustion and TuinaBeijing University of Chinese MedicineBeijing100029China Department of Biomedical Data Science Stanford University School of MedicineStanfordCA94305USA Institute of Basic Research in Clinical Medicine China Academy of Chinese Medical SciencesBeijing100700China Guang’anmen Hospital China Academy of Chinese Medical SciencesBeijing100053China School of Computer and Information Technology Beijing Jiaotong UniversityBeijing100044China Beijing Xicheng District Community Healthcare Center Beijing100120China China Academy of Chinese Medical Sciences Beijing100700China

Objective:To assess efficacy of Chinese medicine(CM)on insomnia considering characteristics of treatment based on syndrome ***:A total of 116 participants aged 18 to 65 years with moderate and severe primary insomnia were randomized to the placebo(n=20)or the CM group(n=96)for a 4-week treatment and a 4-week *** CM clinicians independently prescribed treatments for each patient based on syndromes *** primary outcome was change in total sleep time(TST)from *** endpoints included sleep onset latency(SOL),wake time after sleep onset(WASO),sleep efficiency,Pittsburgh Sleep Quality Index(PSQI)and CM ***:The CM group had an average 0.6 h more(95%confidence interval(CI):0.3–0.9,P58.0%,P=0.005)more patients beyond 0.5 h TST increment than that of the placebo *** was changed–3.3(–3.8 to–2.7)in the CM group,a–2.0(–3.2 to–0.8,Panges were not significantly different between *** analysis of prescriptions by these clinicians revealed blood deficiency and Liver stagnation as the most common *** for these clinicians displayed relative stability,while the herbs *** adverse events were mild and were not related to study ***:CM treatment based on syndrome differentiation can increase TST and improve sleep quality of primary *** is effective and safe for primary *** future studies,the long-term efficacy validation and the exploratory of eutherapeutic clinicians'fixed herb formulas should be addressed.(Registration ***01613183).

关键词： primary insomnia Chinese medicine syndrome differentiation randomized controlled trial

Electrical characteristics of a fractional-order 3×n Fan network

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Communications in Theoretical Physics 2024年第4期76卷 176-187页

作者： Zhi-zhong Tan Xin Wang Department of Physics Nantong UniversityNantong 226019China

In this article a new achievement of fractional-order 3×n Fan networks is *** the first step,the RT-I method is used to derive the general formulae of the equivalent impedance of fractional-order 3×n Fan *** the second part,the effects of five system parameters(L,C,n,α and β)on amplitude-frequency and phase-frequency characteristics are *** the same time,the amplitude-frequency and phase-frequency characteristics of the fractional order 3×n Fan network are revealed by Matlab *** work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.

关键词： fractional-order circuit amplitude-frequency characteristics phase-frequency characteristics RT-V theory

Some Rotundities of Orlicz–Lorentz Spaces

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Acta Mathematica Sinica,English Series 2024年第8期40卷 1893-1919页

作者： Wan zhong GONG Peng Wang Department of Mathematics Anhui Normal UniversityWuhu 241000P.R.China

K-UR,K-LUR and K-R are the generalizations of UR,LUR and R respectively,which are of great significance in Banach space *** in Orlicz–Lorentz function spaceΛ_(ϕ,ω)^(◦)[0,γ)equipped with the Orlicz norm,the research methods of K-UR,K-LUR and K-R are much more complicated than those of UR,LUR and *** this paper we obtain some criteria of K-UR,K-LUR and K-R ofΛ_(ϕ,ω)^(◦)[0,γ)by means of the norm of dual space and H_(μ)property ofΛ_(ϕ,ω)^(◦)[0,γ).

关键词： Orlicz-Lorentz space Orlicz norm k-uniform rotundity locally k-uniform rotundity krotundity

Miniaturized power detection module operating in millimeter wave band

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Journal of Electronic Science and Technology 2024年第2期22卷 69-76页

作者： Xiang Zhou Zhi-Yong zhong School of Electronic Science and Engineering University of Electronic Science and Technology of ChinaChengdu611731China

The miniaturized broadband detection module can be embedded into the microwave application system such as the front end of the transmitter to detect the power or other parameters in real *** is highly prospective in military and scientific *** this paper,a broadband power detection module operating at 26.5 GHz-40.0 GHz is designed by using low-barrier Schottky diode as the detector and a comparator for threshold *** module can dynamically detect the power range between-10 dBm and 10 dBm with the detection accuracy of 0.1 ***,the temperature compensation circuit is also applied to improve the measurement *** a result,the resulted error low to±1 dB in the temperature range of -55℃ to +85℃ is *** designed module is encapsulated by a Kovar alloy with a small volume of 9 mm×6 mm×3 *** endows the designed module the advantages of small size,easy integration,and low cost,and even it is applicable to high-reliability environments such as satellites.

关键词： Diode Miniaturization Power detection Temperature compensation

Triple reverse order law for the Drazin inverse

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Applied Mathematics(A Journal 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 bound-ed linear operators under some commutation ***,the Drazin invertibility of sum is also obtained for two bounded linear operators and... 详细信息

关键词： Drazin inverse reverse order law space decomposition

Nickel Sulfide Modified NiCu Nanoalloy with Excellent Oxygen Evolution Reaction Properties Prepared through Electrospinning and Heat Treatment

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Journal of Wuhan University of Technology(Materials Science) 2024年第2期39卷 320-326页

作者：李涛凌帅 zhong Shujie LOU Qiongyue Department of Materials Engineering School of Mechanical EngineeringChengdu UniversityChengdu 610106China

Ni^(2+)/Cu^(2+)/SO_(4)^(2-)/polyvinyl alcohol precursor fibers with uniform diameters were prepared through ***-based composite nanoalloys containing Ni,Cu,and S were prepared through heat treatment in an Ar *** experimental results show that the main components of the prepared nanoalloys are NiCu,Ni_(3)S_(2),Ni,and *** nanoalloys exhibit fine grain sizes about 200-500 nm,which can increase with increasing heat treatment *** test results show that the nickel sulfidemodified NiCu nanoalloy composites exhibit excellent oxygen evolution reaction properties,and the oxygen evolution reaction properties gradually improve with the increasing heat treatment *** sample prepared at 1 000℃ for 40 min show a low overpotential of 423 mV and a small Tafel slope of 134 mV·dec^(-1) at a current density of 10 mA·cm^(-2).

关键词： NiCu nanoalloy Ni_(3)S_(2) structure transformation oxygen evolution reaction