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On the number of B_(π')-characters in a nilpotent π-block

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Science china Mathematics 2008年第1期51卷 1-4页

作者： HAI JinKe~(1+) & ZHU YiXin~2.1 school of Mathematical Sciences, Qingdao university, Qingdao 2.6071,{2. 2.school of Mathematical Sciences, Capital normal university, Beijing 100037,{2. school of Mathematical Sciences Qingdao University Qingdao China school of Mathematical Sciences Capital Normal University Beijing China

Brouéand Puig set the definition of nilpotent p-blocks, stated the existence of such blocks, and then proved that there is a unique Brauer character in a nilpotent p-block. The present paper, based on the works of Slattery and Robinson, generalizes the above idea to theπ-block theory of aπ-separable group, defines the nilpotency of aπ-block, and proves that there is a unique B_(π')-character in a nilpotentπ-block.

关键词： π-separable groups π-blocks π-subpairs nilpotentπ-blocks

Moment bounds for IID sequences under sublinear expectations

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Science china Mathematics 2011年第10期54卷 2155-2160页

作者： HU Feng1,2.1Department of Mathematics,Qufu normal university,Qufu 2.3165,{2. 2.3} of Mathematics,Shandong university,Jinan 2.0100,{2. Department of Mathematics Qufu Normal University school of Mathematics Shandong University

With the notion of independent identically distributed(IID) random variables under sublinear expectations introduced by Peng,we investigate moment bounds for IID sequences under sublinear expectations. We obtain a moment inequality for a sequence of IID random variables under sublinear expectations. As an application of this inequality,we get the following result:For any continuous functionsatisfying the growth condition |(x) | C(1 + |x|p) for some C > 0,p 1 depending on ,the central limit theorem under sublinear expectations obtained by Peng still holds.

关键词： moment bound sublinear expectation IID random variables G-normal distribution central limit theorem

Split-plot designs with general minimum lower-order confounding

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Science china Mathematics 2010年第4期53卷 939-952页

作者： WEI JiaLin 1,4,YANG JianFeng 1,LI Peng 3 & ZHANG RunChu 1,2.1 school of Mathematical Sciences and LPMC,Nankai university,Tianjin 300071,{2. 2.KLAS and school of Mathematics and Statistics,Northeast normal university,Changchun 13002.,{2. 3 school of Mathematical Sciences,Capital normal university,Beijing 100037,{2. 4 school of Sciences,Tianjin university of Commerce,Tianjin 300134,{2. school of Mathematical Sciences and LPMC Nankai University school of Sciences Tianjin University of Commerce school of Mathematical Sciences Capital Normal University

Split-plot designs have been widely used in industrial *** to now,most methods for choosing this kind of designs are based on the minimum aberration (MA) ***,by introducing a new pattern,called aliased effect-number pattern (AENP),Zhang et *** a general minimum lowerorder confounding (denoted by GMC for short) criterion and established a general minimum confounding (also denoted by GMC for saving notations) *** is proved that,the GMC criterion selects optimal designs in a more elaborate manner than the existing ones,and when an experimenter has a prior about the importance ordering of factors in experiments the GMC designs are better than other optimal *** this paper we extend the GMC criterion to the split-plot design case and give a GMC-FFSP criterion for ranking split-plot *** comparisons of the new criterion with the MA-MSA-FFSP criterion are given,and the optimal 32.run split-plot designs up to 14 factors under the two criteria are tabulated for comparison and application.

关键词： fractional factorial design GMC criterion minimum aberration split-plot

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, china 2. Department of Mathematics, Shaanxi {2. university, Xi’an 710062. china 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.

Crystal structure and magnetism of the binuclear Gd(Ⅲ) complex Gd_2.C_12._8N_2._2.C_6H_5COO)_6

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Chinese Science Bulletin 2000年第8期45卷 706-711页

作者： NIU Shuyun , JIN Jing, JIN Xianglin, CONG Yao & YANG Zhongzhi1. Department of Chemistry, liaoning normal university, dalian 116029,{2. 2. Department of Chemistry, Peking university, Beijing 100871,{2.

In the medium of H2., C2.5OH and HAC, the reaction of Gd(NO3)3-6H2. with C6H5COONa and C12.8N2.produced a novel binuclear Gd(Ⅲ) complex in formula [Gd2.C12.8N2.2.(C6H5COO)6]. Crystallographic data: crystal system, triclinic; space group, P l ; unit celi dimensions, α=1.191 9(2. nm, b =1.2.4 2.2. nm, c = 1.080 4(2. nm, α = 93.57(3)°, β= 113.33(3)°, y= 105.06(3)°, Z =1. The final R = 0.037 6. The magnetic measurement of the crystal powder in the temperature region of l .5-300 K shows that this complex possesses antifer- romagnetic property with fitting magnetic parameters .J = -0.471 and g =1.975.

关键词： binuclear Gd(III) complex crystal structure magnetism.

Dimension and measure theoretic entropy of a subshift in symbolic space

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Chinese Science Bulletin 1997年第14期42卷 1193-1196页

作者： CHEN Ercai and XIONG Jincheng1. Department of Astronomy, Nanjing university, Nangjing 2.0093, china 2. Department of Mathematics, South china normal university, Guangzhou 510631, china Department of Astronomy Nanjing University Nangjing China Department of Mathematics South China Normal University Guangzhou China

1 Definitions and resultsWITH the development of the theory of dynamical systems and fractal geometry, one provedthat symbolic dynamics is a powerful tool to study chaos and fractals. It is useful to study thefractal characteristics of symbolic dynamics. In the present note we shall point out the relationbetween the dimension and measure theoretic entropy of any subshift in symbolic space. Weprove here that the Bowen’s formula for Hausdorff dimension holds without Markov struc-ture. A variational principle for dimension is obtained.

关键词： symbolic space subshift measure theoretic entropy dimension.

Static filtering and collocation in successive steps for measurements with colored noises

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中国有色金属学会会刊：英文版 2005年第S1期15卷 80-81页

作者： ZHAO Chang-sheng~1, MA Zhen-li~2.(1. Xuzhou normal university, Xuzhou 2.1009,{2. 2. liaoning Technical university, Fuxin 12.000,{2.)

The theory of static filtering in successive steps with colored noises is ample scope for its application in the procedure of GPS data processing. A majority of error and round-cycle distinctness in the measurements of GPS carrier phase can be eliminated through three times of differential calculations of stations, satellites and epochs, in which the cycle beatings became isolated values. The observation error of three-differentials in the intervals between epochs results in block diagonal matrixes in the covariance matrixes, so that the desired matrixes occupy too large memory and the processing time is too long. Therefore, by using the theory of static filtering in successive steps with colored noises, the interrelation can be eliminated and can save the processing time and memory.

关键词： colored noise static filtering in successive steps three-differentials measurements in GPS carrier phase

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美国高校专业评价的实施策略

外国教育研究 2010年第9期37卷 75-78页

作者：蔡敏辽宁师范大学田家炳教育书院暨教育学院辽宁大连116029

美国高校自2.世纪90年代初期开始实施专业评价制度,2.08年的金融危机爆发以后,这种以专业改进与调整为根本宗旨的校本评价受到了更加广泛的重视。评价内容的确定涉及明确专业目标、规定评价范围和表述学生学习结果等环节。评价所使用的... 详细信息

美国高校自2.世纪90年代初期开始实施专业评价制度,2.08年的金融危机爆发以后,这种以专业改进与调整为根本宗旨的校本评价受到了更加广泛的重视。评价内容的确定涉及明确专业目标、规定评价范围和表述学生学习结果等环节。评价所使用的方法包括学生毕业项目评价、课堂评价、案例研究、纸笔考试和问卷调查。评价结果的作用通过对评价信息的核查、总结和使用得以发挥。评价结论的传递利用纸质报告、口头汇报、报刊传播和网上发布等交流途径。

关键词：美国高等学校专业评价

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 university, Huhhot 01002.,{2. 2. Department of Mathematics, Harbin Institute of Technology, Harbin 150006,{2. 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.