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Admissibilities of linear estimator in a class of linear models with a multivariate t error variable

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Science china mathematics 2010年第8期53卷 2011-2019页

作者： YANG GuoQing 1 & wu QiGuang 2.1 department of {2.,Tongji University,Shanghai 2.0092.china 2.Institute of Systems Science,Academy of {2. and Systems Science,Chinese Academy of Sciences,Beijing 100190,china 1. department of mathematics Tongji University Shanghai 200092 China2. Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

This paper discusses admissibilities of estimators in a class of linear models,which include the following common models:the univariate and multivariate linear models,the growth curve model,the extended growth curve model,the seemingly unrelated regression equations,the variance components model,and so *** is proved that admissible estimators of functions of the regression coefficient β in the class of linear models with multivariate t error terms,called as Model II,are also ones in the case that error terms have multivariate normal distribution under a strictly convex loss function or a matrix loss *** is also proved under Model II that the usual estimators of β are admissible for p 2.with a quadratic loss function,and are admissible for any p with a matrix loss function,where p is the dimension of β.

关键词： multivariate t distribution convex loss quadratic loss matrix loss admissible estimator

NEUMANN　PROBLEM　OF　ELLIPTIC　EQUATIONS　WITH　LIMIT　NONLINIEARITY　IN　BOUNDARY　CONDITION

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Chinese Annals of mathematics,Series B 1994年第3期15卷 299-310页

作者： DENGYINBING WANGXUJIA wuSHAOPING departmentofmathematics HuazhongNormalUniversityWuhan430070China departmentofmathematics ZhejiangUniversityHangzhou310027China

This paper deals with a problem proposed by H. Brezis on the existence of positive solutionsto the equation An + u(rt+2./(n--2. + f(x,u) = 0 under the Neumann boundaly collditionD.u = un/(rt--z), where f(x, u) is a lo... 详细信息

关键词： Neumann problem Semilinear elliptic equation Positive solution.

Effects of chlorogenic acid, an active compound activating calcineurin, purified from Flos Lonicerae on macrophage

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Acta Pharmacologica Sinica 2004年第12期25卷 119-123页

作者： He-zhen wu, Jing LUO, Yan-xia YIN, Qun WEI2.department of Biochemistry and Molecular Biology, Beijing {2. University, Beijing 100875, china department of Biochemistry and Molecular Biology Beijing Normal University

AIM: To investigate the activation of chlorogenic acid (CHA) purified from Flos Lonicerae to calcineurin and its effects on macrophage functions in vivo and in vitro. METHODS: According to the screening results that Flos Lonicerae could activate calcineurin, the active component which could activate calcineurin was purified from Flos Lonicerae by column chromatography on silica gel and identified as CHA. The activation of CHA on calcineurin had been validated with both p-NPP and P-labeled RII peptide as the substrates. The clearance of charcoal particles in 32.normal mice and the cytotoxicity of U937 to MCF-7 were used together to determine the effects of CHA on macrophage functions. RESULTS: CHA could activate calcineurin, and the concentration of CHA on maximal activating calcineurin was 2.2.5 μmol/L. CHA administration (10 mg/kg, ig×7 d) significantly enhanced the mac- rophage functions in normal mice. CHA (70.6, 141.2. and 2.2.5 μmol/L) obviously increased the cytotoxicity of U937 to MCF-7. CONCLUSION: CHA could activate calcineurin and enhance the macrophage functions in vivo and in vitro, and its functions in vivo may be realized via the signal pathways of calcineurin.

关键词： calcineurin macrophage chlorogenic acid Flos Lonicerae

THE NEIGHBORHOOD INTERSECTIONS OF ESSENTIAL SETS AND HAMILTONICITY OFGRAPHS

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Systems Science and Mathematical Sciences 1998年第3期11卷 230-237页

作者： wu Zhengsheng(department of {2., Naming normal University, Naming 2.0097, china)XU Xinping(department of {2., Jiangsu Education College, Naming 2.0013, china)ZHOU Xinghe(department of {2., Naming normal University, Nabbing 2.0097,

Let G be a graph. An independent set Y in G is called an essential independent set (or essential set for simplicity) if there is {yi , y2. Y such that dist(y1 , y2. - 2. For integer t > 0, let It(G) = {Y| Y is an independent set of G, |Y| = t}, It(G) = {Y|Y is an essential set of G, |Y| = t}. For ∈E It(G), let si(y) = |{v|v ∈V(G), |N(v) n Y| = i}|(i = 0, 1,…, t). Let X, Y g V(G). Define dist(X, Y) = dist(u, v), n(Y) = |{v|v ∈V(G), dist({v}, Y) ≤ 2.|. A non-negative rational sequence (a1，a2.…, ak+1) (k ≥2. is called an LTW-sequence, if it satisfies 1) a1 ≤ 1; 2. for arbitrary i1, i2.…，ih. ∈{2.3,……, k + 1}, The main new results of this paper are as follows: Let (a1， a2.… ak+1) be all LTW-sequence, and k ≥ 2. If G is a k-connected graph, and then G has a Hamilton cycle; if G is a (k + 1)-connected graph and for each then G is Hamilton-connected. The existing results are generalized by these since Ik+1(G) is replaced by I(G). We introduce a new technique of T-insertion in this paper， by using the T-vertex inserting lemmas we give a unified proof for a graph to be hamiltonian or Hamilton-connected.

关键词：篖TW-sequence essential sets T-vertex insertion hamiltonicity

The Cobordism Classification of Involution on DOLD Manifold P(1,2.)

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Acta Mathematica Sinica,English Series 1997年第1期13卷 9-20页

作者： wu Zhende Liu Zongze (department of {2.,Hebei normal University,Shijazhuang 050016,china)Bai Ruipu (department of {2.,Hebei University,Baoding 071002.china) department of mathematics Hebei Normal University department of mathematics Hebei University

Supposing the smooth involution of the DOLD manifold P(2.2.)satisfies the following condition:the fiberation π:P(1,2.)×T_×(-1)S~∞→RP(∞)is totally nonhomologous to zero(cf.[1, p373]),this paper determines the cla... 详细信息

关键词： Stiefel-Whitney class Involution on smooth manifold Bordism class wu formulas

ON NICE SEQUENCES CONCERNING HAMILTONICITY OF GRAPHS

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Systems Science and Mathematical Sciences 1993年第4期6卷 373-375页

作者： LIU Yiping wu Zhengsheng department of {2., Nanjing normal University, Nanjing 2.002., china

In the paper, the （k-1）-traceable-nice （（k-1）-T-nice） and k-homogeneously-traceable-nice （k-HT-nice） sequence are defined similarly to the definition of k-Hamilton-nice （k-H-nice） and （k+1）-Hamilton-connected-nice （（k+1）-HC-nice） sequence. Therelationships among these four nice sequences are discussed. The main results are asfollows: Letη=(a1, a2./sub>,…, ak+1 be a non-negative rational sequence, k≥2. （1） If η is（k+1）-HC-nice and ak+1=2. then η is k-HT-nice, （2. If η is k-HT-nice and ak+1=2.then η is （k-1）-T-nice, （3） If η is k-H-nice, then η is k-HT-nice. Meanwhile, four unsolvedproblems on these topics are proposed.

关键词： k-H-nice sequence (k-1)-T-nice sequence k-HT-nice sequence (k+1)-HC-nice sequence

An approach to the design principles for indicator system of desertification degree

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Journal of Geographical Sciences 2000年第3期10卷 93-98页

作者： SUN wu1, LI Sen2.(1. department of Geography, South {2. normal University, Guangzhou 510631, {2. 2. department of Geography, Foshan University, Foshan 52.00, {2.)

From the analysis on the problem of selection, data acquisition, quantification and accuracy check in the indicators to desertification degree both at home and abroad, one might conclude that in the existing assessment of desertification degree there is a prevailing tendency which is the substitution of absolute landscape for relative land degradation, namely, assessment of desertification degree is that of absolute landscape state to some extent. As a result the reassessment accuracy of desertification scope, damaging degree and control effect are affected. The regaining and establishment of the initial and final ecological datum level of land degradation are the prerequisite to the establishment of normal scientific indicator system. From the viewpoint of this three design principles of indicators to the desertification degree are put forward: the zonal principle of indicator systems decided by the ecological datum level corresponding to their bioclimatic zones, the hierarchical principle of indicator systems decided by different spatial scales and the resolutions of different sensors and principle of landscape types based on the 3S as core-indicator.

关键词： ecological datum level zonal principle hierarchical principle landscape-type principle

First-principles calculations on implanted TiO_2.by 3d transition metal ions

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Science china(Physics,Mechanics & Astronomy) 2009年第6期52卷 838-842页

作者： HOU XingGang1,2. HUANG MeiDong1, wu XiaoLing2.& LIU AnDong2.1 department of Physics, Tianjin {2. University, Tianjin 300387, china 2.Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing {2. University, Beijing 100875, china department of Physics Tianjin Normal University Tianjin 300387 China Key Laboratory of Beam Technology and Material Modification of Ministry of Education Beijing Normal University Beijing 100875 China

3d transition metal (V, Cr and Fe) ions are implanted into TiO2.by the method of metal ion implantation. The electronic band structures of TiO2.films doped 3d transition metal ions have been analyzed by ab initio band calculations based on a self-consistent full-potential linearized augmented plane-wave method within the first-principle formalism. Influence of implantation on TiO2.films is examined by the method of UV-visible spectrometry. The results of experiment and calculation show that the optical band gap of TiO2.films is narrowed by ion implantation. The calculation shows that the 3d state of V, Cr and Fe ions plays a significant role in red shift of UV-Vis absorbance spectrum.

关键词： 3d transition metal ions implantation TiO2 FP-LAPW electronic structure

A note on the crossed product R(A, α) associated with PSL_2.R)

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Science china mathematics 2008年第11期51卷 2081-2088页

作者： wu WenMing 1 School of Mathematical and Computer Science, Chongqing normal University, Chongqing 400047, {2. 2.department of Mathematical Science, Tsinghua University, Beijing 100084, {2. School of Mathematical and Computer Science Chongqing Normal University Chongqing China department of Mathematical Science Tsinghua University Beijing China

Given the hyperbolic measure dxdy/y2.on the upper half plane H, the rational actions of PSL2.R) on H induces a continuous unitary representation α of this group on the Hilbert space L2.H, dxdy/y2.. Supposing that A = {Mf : f ∈ L∞(H, dxdy/y2.}, we show that the crossed product R(A,α) is of type I. In fact, the crossed product R(A,α) is *-isomorphic to the von Neumann algebra B(L2.P,ν))■LK, where LK is the abelian group von Neumann algebra generated by the left regular representation of K.

关键词： crossed product rational actions PSL2.R) von Neumann algebras