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A spectral theory for generalized locally convex algebras and its applications

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西南师范大学学报(自然科学版) 1999年第5期 511-518页

作者： Jiang Xueyuan,tang chunlei,Huang Shaowen department of mathematics,{2. china normal university,Chongqing 400715

A spectral theory is set up for generalized locally convex *** has been proved that the spectral radius formulation and the spectral mapping theorem *** has also been proved that the definition of the spectrum in Allans sense is equivalent to the one in Waelbroecks sense under some natural ***,another spectral theory is set up for linear operators in locally counvex spaces,which is superior to the known one in a sense.

关键词： the spectrum the resolvent the resolvent equation closed element the spectral radius formulation the specrtal mapping theorem

K-uniformly rotund spaces and k-uniformly smooth spaces

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Chinese Science Bulletin 1998年第2期43卷 92-95页

作者： Suyalatu 1 and WU Congxin 2.1. department of mathematics,Inner Mongolia normal {2., Huhhot 01002., china 2. department of mathematics, Harbin Institute of Technology, Harbin 150006, china department of mathematics Inner Mongolia Normal University Huhhot China department of mathematics Harbin Institute of Technology Harbin China

The conception of k_uniform smoothness (KUS) is introduced. It is the extension of the conception of uniform smoothness. It is proved that the k_uniform smoothness and Sullivan’s K_uniform rotundity (KUR) are the daul notions. X+* is a KUR space if and only if X is a KUS space, X+* is a KUS space if and only if X is a KUR space. If X is a KUS space, then X is a (K+1)US space. It is also proved that the KUS space includes the Nan’s k_strongly smooth space.

关键词： K_uniform smoothness K_uniform convexity.

Study on Green Residential Space Design

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IJLAI Transactions on Science and Engineering

IJLAI Transactions on Science and Engineering 2024年第1期2卷 32-37页

作者： Yu Jiang Shenyang normal university No.2.3 Huanghe North Street Shenyang 110034China

With the ever-changing nature,green ecology has become an international trend of ***,the green ecological design of residential space has become the main melody of people’s *** always implement the concept of ecological and environmental protection in the design process,attach importance to the ecological effect of residential space,carry out reasonable budget and use of environmentally friendly decorative materials,reduce the waste of materials,save money and save resources at the same time,and protect the *** the same time,people began to put their hopes on the residential space design,which made the green residential space design began to *** the bold exploration and practice of designers,the design of green residential space will be endowed with more distinctive characteristics and unique *** from the concept of green design,this paper explores the method of green space design through typical analysis.

关键词： Green Residential space Haze

Transitional function of DG to CA3 in the hippocampus

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Progress in Natural Science:Materials International 2007年第12期17卷 1436-1444页

作者： Yan Chuankui1 and Liu Shenquan2.1. department of mathematics, Hangzhou normal {2., Hangzhou 310036, china 2. department of Applied mathematics, School of Mathematical Sciences, South china {2. of Technology, Guangzhou 510640, china) department of mathematics Hangzhou Normal University Hangzhou 310036 China department of Applied mathematics School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

Using single cell channel model, the transmission features of CA3-DG network in the hippocampus are investigated. The influence of the stimulation on discharge pattern of pyramidal neurons is analyzed, which shows that it starts with period spiking discharges, followed by period-doubling bifurcation to chaos, and period 3 discharge evolving into chaos, and ultimately a period of bursting discharges. By the synaptic model, the CA3-DG network model is constructed, which analyzes the summation of postsynaptic currents in the network, the influence of postsynaptic current on discharge rhythm as well as the mechanism of bursting discharges. The strong capacity of spatiotemporal encoding in the network indicates the features of CA3 network during the information transmission process in the hippocampus. The modeling result with time delay of the synaptic transmission is in accordance with the experimental phenomena of action potential in the hippocampus.

关键词： hippocampus CA3-DG period-doubling bifurcation chaos.

Groups whose elements have given orders

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Chinese Science Bulletin 1997年第21期42卷 1761-1764页

作者： SHI WujieInstitute of mathematics, southwest{2. normal university, Chongqing 630715,{2. Institute of mathematics Southwest China Normal University Chongqing 630715 China

'ELEMENT orders' is one of the most fundamental concepts in group theory. It plays an impor-tant role in the research of group theory, which can be seen from the famous Burnside’s prob-lem. Some well-known group theory specialists, such as Neumann, Higman, Suzuki and oth-ers, have studied the groups whose element orders take the special values. In 1981 wediscussed the finite groups of all those whose elements are of prime order except identity ele-

关键词： finite group element order simple group.

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 {2.,Wuhan 430079,china 2.0},East china normal {2.,Shanghai 2.02.1,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

Maxima with random indexes

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Chinese Science Bulletin 1997年第21期42卷 1767-1771页

作者： XIE Shengrongdepartment of mathematics, {2. china normal university, Chongqing 630715, china department of mathematics Southwest China Normal University Chongqing China

LET {ξi} be a sequence of random variables and Mn = =V ξi, which connect asymptoticallysome regularly varying functions. Let {Nn} be a sequence of nonnegative integer-valued ran-dom variables. In this note the limit... 详细信息

关键词： regularly varying function maximum random index.

Cartesian closedness of categories of completely distributive lattices

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Chinese Science Bulletin 1998年第24期43卷 2059-2063页

作者： ZHANG Dexue 1 and YANG Zhongqiang 2.1. department of mathematics, Sichuan university, Chengdu 610064,{2. 2. department of mathematics, Shaanxi normal university, Xi’an 710062.{2. department of mathematics Sichuan University Chengdu China department of mathematics Shaanxi Normal University Xi’an China

The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ... 详细信息

关键词： completely distributive lattice continuous lattice cartesian closedness.

Joint density of hitting time and point to an ellipse for Brownian motion

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Chinese Science Bulletin 1997年第24期42卷 2054-2058页

作者： YIN Chuancun ZHAO Xuelei department of mathematics, Qufu normal {2., Qufu 2.3165, china 2. Institute of mathematics, Shantou {2., Shantou 515063, china department of mathematics Qufu Normal University Qufu 273165 China

IT is well known that the distribution of hitting time, hitting point, last exiting time, and lastexiting point for Brownian motion to balls has been extensively studied. A similar investi-gation of rectangles or cubes has also been well done. However, analogous questions for Brow-nian motion to ellipsoid are rarely concerned. Bai and Cai obtained the distribution of

关键词： Brownian motion hitting time hitting point ellipse.