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The Second Main Theorem Concerning Small Algebroid Functions

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Acta Mathematica Sinica,English Series 2012年第10期28卷 2089-2106页

作者： Dao Chun SUN zong sheng gao Hui Fang LIU School of Mathematics South China Normal University LMIB and Department of Mathematics Beijing University of Aeronautics and Astronautics Institute of Mathematics and Informatics Jiangxi Normal University

In this paper, we firstly give the definition of meromorphic function element and algebroid mapping. We also construct the algebroid function family in which the arithmetic, differential opera- tions are closed. On basis of these works, we firstly prove the Second Main Theorem concerning small algebroid functions for v-valued algebroid functions.

关键词： Algebroid function algebroid mapping corresponding addition the Second Main Theo- rem

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代数体函数的定理

数学学报（中文版） 2006年第5期49卷 1027-1032页

作者：孙道椿高宗升华南师范大学数学科学学院广州510631 北京航空航天大学数学系

本文定义并研究了代数体函数的加法．结合杨乐的方法,将仪洪勋联系重值的亚纯函数唯一性定理推广到多值的代数体函数．

关键词：代数体函数唯一性定理特征函数

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代数体函数族的Marty正规定则

数学学报（中文版） 2023年第6期66卷 1079-1088页

作者：柴富杰高宗升王松敏广东金融学院金融数学与统计学院广州510521 北京航空航天大学数学科学学院北京100191 中国人民警察大学智慧警务学院廊坊065000

Marty正规定则在亚纯函数的正规族理论中具有十分重要的作用,然而该定则对代数体函数是不成立的.本文首先深入考察了亚纯函数的Marty正规定则,然后基于Ahlfors覆盖曲面理论,在形式上对该正规定则进行了推广,最后证明了此推广形式的Mart... 详细信息

Marty正规定则在亚纯函数的正规族理论中具有十分重要的作用,然而该定则对代数体函数是不成立的.本文首先深入考察了亚纯函数的Marty正规定则,然后基于Ahlfors覆盖曲面理论,在形式上对该正规定则进行了推广,最后证明了此推广形式的Marty正规定则对一类代数体函数也是成立的.

关键词：正规族 Marty正规定则代数体函数 Hausdorff距离

Laplace-Stieltjes变换所表示的解析函数的值分布

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数学学报（中文版） 2008年第5期51卷 993-1000页

作者：尚丽娜高宗升北京航空航天大学数学系数学、信息与行为教育部重点实验室北京100083

分别对右半平面上有限正级与无穷级Laplace-Stieltjes变换的Borel点的存在性进行了研究,证明了在一定条件下,右半平面上τ(τ>1)级Laplace-Stieltjes变换在虚轴上必有一个τ-级Borel点;ρ((1/σ))级Laplace-Stieltjes变换在虚轴上必有... 详细信息

分别对右半平面上有限正级与无穷级Laplace-Stieltjes变换的Borel点的存在性进行了研究,证明了在一定条件下,右半平面上τ(τ>1)级Laplace-Stieltjes变换在虚轴上必有一个τ-级Borel点;ρ((1/σ))级Laplace-Stieltjes变换在虚轴上必有一个无有限例外值的ρ((1/σ))级Borel点.

关键词： Laplace-Stieltjes变换解析函数值分布

Small extracellular vesicles derived from human induced pluripotent stem cell-differentiated neural progenitor cells mitigate retinal ganglion cell degeneration in a mouse model of optic nerve injury

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Neural Regeneration Research 2025年第2期20卷 587-597页

作者： Tong Li Hui-Min Xing Hai-Dong Qian Qiao gao sheng-Lan Xu Hua Ma Zai-Long Chi State Key Laboratory of Ophthalmology Optometry and Visual ScienceEye HospitalWenzhou Medical UniversityWenzhouZhejiang ProvinceChina National Clinical Research Center for Ocular Diseases Eye HospitalWenzhou Medical UniversityWenzhouZhejiang ProvinceChina

Several studies have found that transplantation of neural progenitor cells(NPCs)promotes the survival of injured ***,a poor integration rate and high risk of tumorigenicity after cell transplantation limits their clinical *** extracellular vesicles(sEVs)contain bioactive molecules for neuronal protection and *** studies have shown that stem/progenitor cell-derived sEVs can promote neuronal survival and recovery of neurological function in neurodegenerative eye diseases and other eye *** this study,we intravitreally transplanted sEVs derived from human induced pluripotent stem cells(hiPSCs)and hiPSCs-differentiated NPCs(hiPSC-NPC)in a mouse model of optic nerve *** results show that these intravitreally injected sEVs were ingested by retinal cells,especially those localized in the ganglion cell *** with hiPSC-NPC-derived sEVs mitigated optic nerve crush-induced retinal ganglion cell degeneration,and regulated the retinal microenvironment by inhibiting excessive activation of *** analysis further revealed that hiPSC-NPC derived sEVs transported neuroprotective and anti-inflammatory miRNA cargos to target cells,which had protective effects on RGCs after optic nerve *** findings suggest that sEVs derived from hiPSC-NPC are a promising cell-free therapeutic strategy for optic neuropathy.

关键词： exosome miRNA neural progenitor cell neurodegeneration neuroinflammation neuroprotection optic nerve crush optic neuropathy retinal ganglion cell small extracellular vesicles

Passive activity enhances residual control ability in patients with complete spinal cord injury

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Neural Regeneration Research 2025年第8期20卷 2337-2347页

作者： Yanqing Xiao Mingming gao Zejia He Jia Zheng Hongming Bai Jia-sheng Rao Guiyun Song Wei Song Xiaoguang Li Beijing Key Laboratory for Biomaterials and Neural Regeneration Beijing Advanced Innovation Center for Biomedical EngineeringSchool of Biological Science and Medical EngineeringBeihang UniversityBeijingChina Department of Rehabilitation Evaluation China Rehabilitation Research CenterBeijingChina Cardiac Center Beijing Children’s HospitalCapital Medical UniversityBeijingChina The State Key Laboratory of Virtual Reality Technology and Systems Beihang UniversityBeijingChina Department of Rehabilitation Engineering China Rehabilitation Science InstituteBeijingChina

Patients with complete spinal cord injury retain the potential for volitional muscle activity in muscles located below the spinal injury ***,because of prolonged inactivity,initial attempts to activate these muscles may not effectively engage any of the remaining neurons in the descending pathway.A previous study unexpectedly found that a brief clinical round of passive activity significantly increased volitional muscle activation,as measured by surface *** this study,we further explored the effect of passive activity on surface electromyographic signals during volitional control tasks among individuals with complete spinal cord *** patients with chronic complete thoracic spinal cord injury were *** electromyography data from eight major leg muscles were acquired and compared before and after the passive activity *** results indicated that the passive activity led to an increased number of activated volitional muscles and an increased frequency of *** the cumulative root mean square of surface electromyography amplitude for volitional control of movement showed a slight increase after passive activity,the difference was not statistically *** findings suggest that brief passive activity may enhance the ability to initiate volitional muscle activity during surface electromyography tasks and underscore the potential of passive activity for improving residual motor control among patients with motor complete spinal cord injury.

关键词： complete spinal cord injury cycle training epidural electrical stimulation motor training passive activity physiological state spinal cord circuit surface electromyography volitional control task

Occurrence, Structure and Mineral Phases of Nanoparticles in an Anthrosol

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Pedosphere 2013年第3期23卷 273-280页

作者： LU sheng-gao SUN Fang-Fang zong Yu-Tong Zhejiang Provincial Key Laboratory of Subtropical Soil and Plant Nutrition College of Environmental and Resource Sciences Zhejiang University Key Laboratory of Environment Remediation and Ecological Health Ministry of Education College of Environmental and Resource Sciences Zhejiang University

Soils contain various kinds of crystalline to amorphous solid particles with at least one dimension in the nanoscale （〈 100 nm）. These nanoparticles contribute greatly to dynamic soil processes such as soil genesis, trace element cycling, contaminant transport, and chemical reaction. The nano-sized fraction of an Anthrosol was obtained to determine the occurrence, chemical composition, structure, and mineral phases of nanoparticles using high-resolution transmission electron microscopy （HRTEM） equipped with an energy-dispersive X-ray spectroscopy. Selected area electron diffraction or the fast Fourier transform of high-resolution images was used in structural characterization of the nanoparticles with HRTEM. Two nanoscale mineral types, i.e., mineral nanoparticles and nanomi- nerals, were observed in the Anthrosol. Mineral nanoparticles in soil included well crystalline aluminumsilicate nanosheets, nanorods, and nanoparticles. Nanosheets with a length of 120-150 nm and a width of about 10-20 nm were identified as chlorite/vermiculite series. The presence of clear lattice fringe spacing in HRTEM image of nanoparticles indicated that mineral nanoparticles had a relatively good crystallinity. The nanomineral ferrihydrite also existed in the Anthrosol. The HRTEM images and the particle size distribution histogram suggested that these ferrihydrite nanoparticles were quite homogeneous, and had a narrow size distribution range （1-7 nm） with a mean diameter of 3.6 4- 1.6 nm. Our HRTEM observation indicated that mineral nanoparticles and nanominerals were common and widely distributed in Anthrosols. HRTEM and selected area diffraction or lattice fringe spacing characterization provided further proofs to the structure of nanoparticles formed in soil.

关键词： energy-dispersive X-ray spectroscopy (EDS) ferrihydrite high-resolution transmission electron microscopy (HRTEM) nanominerals nano-sized fraction

Indices and Stability of the Lagrangian System on Riemannian Manifold

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Acta Mathematica Sinica,English Series 2021年第4期37卷 565-580页

作者： gao sheng ZHU School of Mathematics Tianjin UniversityTianjin 300072P.R.China

In this paper,let m≥1 be an integer,M be an m-dimensional compact Riemannian *** the linearized Poincare map of the Lagrangian system at critical point x d/dt L_(q)(t,x,x)−L_(p)(t,x,x)=0 is explicitly given,then we prove that Morse index and Maslov-type index of x are well defined whether the manifold M is orientable or not via the parallel transport method which makes no appeal to unitary trivialization and establish the relation of Morse index and Maslov-type index,finally derive a criterion for the instability of critical point and orientation of M and obtain the formula for two Maslov-type indices.

关键词： Nonorientable spectral flow Morse index Maslov-type indices Lagrangian system Hamiltonian system

On the construction of irreducible characters in p-blocks with normal metacyclic defect groups

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Science China Mathematics 2012年第6期55卷 1179-1188页

作者： gao sheng Department of Mathematics University of Science and Technology of ChinaHefei 230026China

The author carries out a detailed study of p-blocks with normal metacyclic defect groups provided that p is odd and the defect groups are splitting and *** particular,the author constructs all the irreducible ordinary... 详细信息

关键词： characters blocks metacyclic groups defect groups