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  and
     MICRO-FAILURE THEORY FOR BRITTLE MATERIALS AND SHAKEDOWN ANALYSIS 0F STRUCTURES WITH DAMAGE
     脆性材料的细观损伤理论损伤结构的安定分析
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     Biological and Biochemical Characterization of Envelope Gene of Subgroup J Avian Leukosis Virus
     禽白血病病毒J亚群囊膜糖蛋白基因的生物学生物化学特性
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     Researches on Infrared and Laser Imaging Properties of Complex Targets and Background
     复杂目标背景的红外与激光成象特性研究
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     Researches on Web-based Application Development and Database Integration Technology
     基于Web的应用开发数据库集成技术研究
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     Theory and Application of Generalized Interpolating and Interpolating Recursive Wavelets
     广义内插小波递归内插小波理论及应用的研究
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  well
     Immobilization of DNA Using Self-assembly and Interaction of DNA with Other Molecules as Well as Its Applications
     分子自组装固定DNADNA与其他分子的相互作用及应用
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     Effects of Epstein-Barr Virus Protein on the Production of Immunoglubulin by Cultured B Lymphocytes as well as Cloning and Expressing of It's gp350~derived
     EB病毒蛋白对培养B细胞产生免疫球蛋白的影响及gp350相关肽段的克隆表达
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     The Expression of TSH-β and Its Receptor as Well as TRH Receptor Gene in GI Tract of Graves' Disease Patients with Hyperthyroidism Accompanied by Chronic Gastritis or Diarrhea
     伴有慢性胃炎或腹泻的Graves病甲亢患者胃肠道组织中TSH-β其受体以及TRH受体的基因表达
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     Preparation and Optical Characterization of ZnSe, ZnTe Films and Quantum Well Structures on Si Substrate by LP-MOCVD
     Si衬底上ZnSe,ZnTe薄膜及其量子阱的LP-MOCVD生长光学特性
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     Synthesis of Higher Carbon Sugars and Higher Carbon Amino Sugars as well as Nucleosides Containing Higher Carbon Sugar
     新型高碳糖及其胺基衍生物高碳糖氮苷的设计与合成研究
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  sum
     THE CENTRAL LIMIT THEOREM FOR THE SUM OF A RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES AND ITS APPLICATIONS IN MARKOV CHAINS
     随机个数独立随机变量之的中心极限定理及其在马尔可夫链上的应用
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     ON THE RANGE OF SUM OF MONOTONE MAPPINGS AND NONLINEAR INTEGRAL EQUATIONS OF URYSOHN TYPE
     单调映射之的值域与Urysohn型非线性积分方程
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     The Expectation of the Sum of Consecutive AL Variables and the Double“Zero-One”Linear Estimates for the Standard Deviation of Normal Population
     相邻AL变数的期望值与正态总体标准差的双“零—壹”线性估计量
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     ON THE CENTRAL LIMIT THEOREM FOR THE SUM OF THE RANDOM NUMBERS OF INDEPENDENT RANDOM VARIABLES
     关于随机个数独立随机变量之的中心极限定理
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     Some results on the estimaticn of moments of the sum of independent random variables with symmetric distributions
     关于对称型分布的随机变量独立的矩的估计的几点结果
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  sums
     THE CENTRAL LIMIT THEOREM FOR SUMS OF DEPENDENT RANDOM VARIABLES
     相关随机变量的中心极限定理
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     ON PARTIAL SUMS OF FOURIER SERIES FOR BOUNDED FUNCTIONS
     关于有界函数的Fourier级数部分
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     The Approximation of the Function with Fractional Derivative in L_1 by de 1a Vallee-Poussin Sums
     可微函数Vallee-Poussin在L_1中的逼近
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     Two Convergence Theorems of Weighted Sums of Random Variables
     随机变数配重的两个收敛定理
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     FOUR THEOREMS ABOUT THE CONVERGENCE OF WEIGHTED SUMS OF RANDOM ELEMENTS
     关于随机元序列的配重收敛的四条定理
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  and
Tilting modules for classical groups and howe duality in positive characteristics
      
The basic tool is the decomposition ofN pairs of free charged bosons with respect toglN and the commuting withglN Lie algebra of infinite matrices?l.
      
Free quotients and the first betti number of some hyperbolic manifolds
      
The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
      
Affine weyl groups and conjugacy classes in Weyl groups
      
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  well
In this paper, we prove the degenerations of Schubert varieties in a minusculeG/P, as well as the class of Kempf varieties in the flag varietySL(n)/B, to (normal) toric varieties.
      
Well known wonderfulG-varieties are those of rank zero, namely the generalized flag varietiesG/P, those of rank one, classified in [A], and certain complete symmetric varieties described in [DP] such as the famous space of complete conics.
      
There are two well known combinatorial tools in the representation theory ofSLn, the semi-standard Young tableaux and the Gelfand-Tsetlin patterns.
      
It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.
      
As a corollary, we obtain a new proof for Roberts' well-known counterexample in dimension seven.
      
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  sum
We show that ${\mathcal M}(G,R)$ is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties.
      
We also study the problem of uniqueness of a direct sum decomposition of objects in ${\mathcal M}(G,R).$ We prove that the Krull--Schmidt theorem holds in many cases.
      
For a split reductive algebraic group, this paper observes a homological interpretation for Weyl module multiplicities in Jantzen's sum formula.
      
The new interpretation makes transparent for GLn (and conceivable for other classical groups) a certain invariance of Jantzen's sum formula under "Howe duality" in the sense of Adamovich and Rybnikov.
      
From elements of the invariant algebra C[V]G we obtain, by polarization, elements of C[kV]G, where k ≥ 1 and kV denotes the direct sum of k copies of V.
      
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  sums
For a cellA?Wf we consider a full subcategory formed by direct sums of tilting modulesQ(λ) with highest weights.
      
Semi-invariants of quivers can be constructed by taking admissible partial polarizations of the determinant of matrices containing sums of matrix components of the representation and the identity matrix as blocks.
      
Partial sums of orthonormal bases preserving positivity-And martingales
      
We characterize, for finite measure spaces, those orthonormal bases with the following positivity property: if f is a non-negative function, then the partial sums in the expansion of f are non-negative.
      
The bases are necessarily generalized Haar functions and the partial sums are a martingale closed on the right by f.
      
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