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On the Symmetry Classes of Functions

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Wuhan University Journal of Natural Sciences 2005年第5期10卷 813-816页

作者： ZHU Ping~1,2. FAN Yun~3.1. school of Mathematics and statistics, Wuhan University, Wuhan 43.072. Hubei,{2. 2. school of Science, Beijing University of Posts and Telecommunications, Beijing 100876,{2. 3. school of Mathematics and statistics, Huazhong Normal University, Wuhan 43.079, Hubei,{2. Wuhan University School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Beijing University of Posts and Telecommunications School of Science Beijing China (GRID:grid.31880.32) Huazhong Normal University School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.411407.7) (ISNI:***)

Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several variables is a symmetry class, where ξi is any block character. Then we present a relationship among certain operators introduced for block character. Then we present a relationship among certain operators introduced for block characters. As a consequence, we obtain a decomposition of an arbitrary R-valued function of several variables. Finally, we describe the symmetry property of such summands and determine all the symmetry classes.

关键词： symmetry class strict symmetry class blockcharacter ξi-symmetric function block idempotent

Asymmetric interaction will facilitate the evolution of cooperation

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Science china(Life Sciences) 2010年第8期53卷 1041-1046页

作者： WANG RuiWu1, HE JunZhou1,2. WANG YaQiang1,2. SHI Lei1,3.& LI YaoTang1,2.1 State Key Laboratory of Genetic Resources and Evolution, {3. Institute of Zoology, Chinese Academy of Science, {3. 6502.3.{2. 2.school of Mathematics and statistics, Yunnan University, kunming 650091,{2. 3.statistics and Mathematics College, Yunnan University of Finance and Economics, {3. 6502.1,{2. 1. State Key Laboratory of Genetic Resources and Evolution Kunming Institute of Zoology Chinese Academy of Science Kunming 650223 China2. School of Mathematics and Statistics Yunnan University Kunming 650091 China3. Statistics and Mathematics College Yunnan University of Finance and Economics Kunming 650221 China

Explaining the evolution of cooperation remains one of the greatest problems for both biology and social science. The classical theories of cooperation suggest that cooperation equilibrium or evolutionary stable strategy between partners can be maintained through genetic similarity or reciprocity relatedness. These classical theories are based on an assumption that partners interact symmetrically with equal payoffs in a game of cooperation interaction. However, the payoff between partners is usually not equal and therefore they often interact asymmetrically in real cooperative systems. With the Hawk–Dove model, we find that the probability of cooperation between cooperative partners will depend closely on the payoff ratio. The higher the payoff ratio between recipients and cooperative actors, the greater will be the probability of cooperation interaction between involved partners. The greatest probability of conflict between cooperative partners will occur when the payoff between partners is equal. The results show that this asymmetric relationship is one of the key dynamics of the evolution of cooperation, and that pure cooperation strategy (i.e., Nash equilibrium) does not exist in asymmetrical cooperation systems, which well explains the direct conflict observed in almost all of the well documented cooperation systems. The model developed here shows that the cost-to-benefit ratio of cooperation is also negatively correlated with the probability of cooperation interaction. A smaller cost-to-benefit ratio of cooperation might be created by the limited dispersal ability or exit cost of the partners involved, and it will make the punishment of the non-cooperative individuals by the recipient more credible, and therefore make it more possible to maintain stable cooperation interaction.

关键词： Hawk–Dove game evolutionarily stable strategy asymmetric cooperation mixed strategy Nash equilibrium

Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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Wuhan University Journal of Natural Sciences 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3.1. school of Mathematics and statistics, Wuhan University, Wuhan 43.072. Hubei,{2. 2. school of Mathematics and Computer, Ningxia University, Yinchuan 75002., Ningxia,{2. 3. Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei,{2. Wuhan University School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Ningxia University School of Mathematics and Computer Yinchuan Ningxia China (GRID:grid.260987.2) (ISNI:***) Wuhan University School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Hubei Institute for Nationalities Department of Mathematies Enshi Hubei China (GRID:grid.34418.3a) (ISNI:***)

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order

安徽省统计局国家统计局安徽调查总队关于印发《安徽省统计行政处罚裁量基准(2.2.年版)》的通知(皖统[2.2.]6号)

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安徽省人民政府公报 2024年第2期 32-37页

作者： 1.安徽省统计局 2.国家统计局安徽调查总队安徽省统计局国家统计局安徽调查总队

各市、县(市、区)统计局,各市、县调查队,省统计局、国家统计局安徽调查总队机关各处室、各事业单位:《安徽省统计行政处罚裁量基准(2.2.年版)》已经省统计局和国家统计局安徽调查总队党组会审议通过,现印发给你们,请认真贯彻执行。

关键词：裁量基准国家统计局事业单位安徽省通知印发

北京市统计局国家统计局北京调查总队关于印发《北京市统计行政处罚裁量基准》的通知(京统发[2.2.]103.)

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北京市人民政府公报 2024年第19期 54-71页

作者： 1.北京市统计局 2.国家统计局北京调查总队北京市统计局国家统计局北京调查总队

市局所属各单位、总队各处室,各区统计局、经济社会调查队,北京经济技术开发区经济发展局、经济社会调查队,国家统计局各区调查队:根据《国家统计局关于进一步规范统计行政处罚裁量基准制定的指导意见》(国统字[2.2.]117号)要求,北京市... 详细信息

市局所属各单位、总队各处室,各区统计局、经济社会调查队,北京经济技术开发区经济发展局、经济社会调查队,国家统计局各区调查队:根据《国家统计局关于进一步规范统计行政处罚裁量基准制定的指导意见》(国统字[2.2.]117号)要求,北京市统计局、国家统计局北京调查总队结合北京统计调查工作及经济社会发展实际,对《北京市统计行政处罚裁量基准(2.2.年版)》进行了修订,并经北京市统计局第54次党组会议和国家统计局北京调查总队第3.次党组会议审议通过。现将《北京市统计行政处罚裁量基准》印发给你们,请认真执行。

关键词：裁量基准党组会议国家统计局经济发展局北京经济技术开发区经济社会调查通知印发

Commission Strategy of the Auction House

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Wuhan University Journal of Natural Sciences 2006年第3期11卷 507-510页

作者： WANG Yan~ 1,2.1. College of Economics, Fudan University, Shanghai 2.043., china 2. school of Mathematics and {2., Wuhan University , Wuhan 43.072. Hubei, china College of Economics Fudan University 200433 Shanghai China school of Mathematics statistics Wuhan University 430072 Wuhan Hubei China

In a SIPV model, when the commission proportion is not certain, but related with bargain price, generally, it is a linear function of the bargain price, this paper gives bidders＇ equilibrium bidding strategies in the first-and secondprice auctions. We find that the equilibrium strategies in second-price auction are dominant strategies. For seller or auction house, whether the fixed proportion or the unfixed proportion is good is not only related with constant item and the linear coefficient of the linear function, the size of the fixed commission proportion, but also related with the value of the item auctioned. So, in the practical auctions, the seller and the auction house negotiated with each other to decide the commission rules for their own advantage.

关键词： auction commission proportion Bayesian equilibrium bidding strategy

Uniform estimate for maximum of randomly weighted sums with applications to insurance risk theory

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Science china Mathematics 2005年第10期48卷 1379-1394页

作者： WANG Dingcheng~1 SU Chun~2.& ZENG Yong~1 1. school of Management and school of Applied Mathematics,University of Electronic Science and Technology of{2.,Chengdu 610054,china 2. Department of statistics and Finance,University of Science and Technology of{2.,Hefei 2.002.,china 1. school of Management and school of Applied Mathematics University of Electronic Science and Technology of China 610054 Chengdu China 2. Department of statistics and Finance University of Science and Technology of China 230026 Hefei China

This paper obtains the uniform estimate for maximum of sums of independent and heavy-tailed random variables with nonnegative random weights, which can be arbitrarily dependent of each other. Then the applications to ... 详细信息

关键词： dependent stochastic return, discount factor, heavy-tails, discrete time insurance risk model, maxima of randomly weighted sums, ruin probability, tail probabilities, uniformly asymptotic estimate.

A Principal Theorem of Normal Discretization Schemes for Operator Equations of the First Kind

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Wuhan University Journal of Natural Sciences 2001年第4期6卷 767-768页

作者： Du Nai lin 1, Wang Hannah 2.1.school of Mathematics and statistics, Wuhan University, Wuhan 43.072.{2. 2. school of Foreign Languages and Literature,Wuhan University,Wuhan 43.072.china Wuhan University School of Mathematics and Statistics Wuhan China (GRID:grid.49470.3e) (ISNI:***) Wuhan University School of Foreign Languages and Literature Wuhan China (GRID:grid.49470.3e) (ISNI:***)

The authors announce a newly-proved theorem of theirs. This theorem is of principal significance to numerical computation of operator equations of the first kind.

关键词： operator equation of the first kind normal discretization scheme pure pseudoinverse

Impacts of permafrost changes on alpine ecosystem in Qinghai-Tibet Plateau

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Science china Earth Sciences 2006年第11期49卷 1156-1169页

作者： WANG Genxu1,3., LI Yuanshou2., WU Qingbai2.& WANG Yibo3.1. Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, china 2. Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 73.000, china 3. Resource and Environment {2., Lanzhou University, Lanzhou 73.000, china 1. Institute of Mountain Hazards and Environment Chinese Academy of Sciences Chengdu 610041 China 3. Resource and Environment school Lanzhou University Lanzhou 730000 China 2. Cold and Arid Regions Environmental and Engineering Research Institute Chinese Academy of Sciences Lanzhou 730000 China

Alpine cold ecosystem with permafrost environment is quite sensitive to climatic changes and the changes in permafrost can significantly affect the alpine ecosystem. The vegetation coverage, grassland biomass and soil nutrient and texture are selected to indicate the regime of alpine cold ecosystems in the Qinghai-Tibet Plateau. The interactions between alpine ecosystem and permafrost were investigated with the depth of active layer, permafrost thickness and mean annual ground temperature (MAGTs). Based on the statistics model of GPTR for MAGTs and annual air temperatures, an analysis method was developed to analyze the impacts of permafrost changes on the alpine ecosystems. Under the climate change and human engineering activities, the permafrost change and its impacts on alpine ecosystems in the permafrost region between the Kunlun Mountains and the Tanggula Range of Qinghai-Tibet Plateau are studied in this paper. The results showed that the per- mafrost changes have a different influence on different alpine ecosystems. With the increase in the thickness of active layer, the vegetation cover and biomass of the alpine cold meadow exhibit a significant conic reduction, the soil organic matter content of the alpine cold meadow ecosystem shows an exponential decrease, and the surface soil materials become coarse and gravelly. The alpine cold steppe ecosystem, however, seems to have a relatively weak relation to the permafrost environment. Those relationships resulted in the fact that the distribution area of alpine cold meadow decreased by 7.98% and alpine cold swamp decreased by 2..11% under the permafrost environment degradation during recent 15 years. In the future 50 years the alpine cold meadow ecosystems in different geomorphologic units may have different responses to the changes of the permafrost under different climate warming conditions, among them the alpine cold meadow and swamp ecosystem located in the low mountain and plateau area will have a relatively

关键词： permafrost environment, alpine cold ecosystem, statistics relationship, climate change, impacts, Qinghai-Tibet Plateau.