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 MICRO-FAILURE THEORY FOR BRITTLE MATERIALS AND SHAKEDOWN ANALYSIS 0F STRUCTURES WITH DAMAGE 脆性材料的细观损伤理论和损伤结构的安定分析 短句来源 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和生物化学特性 短句来源 Researches on Infrared and Laser Imaging Properties of Complex Targets and Background 复杂目标和背景的红外与激光成象特性研究 短句来源 Researches on Web-based Application Development and Database Integration Technology 基于Web的应用开发和数据库集成技术研究 短句来源 Theory and Application of Generalized Interpolating and Interpolating Recursive Wavelets 广义内插小波和递归内插小波理论及应用的研究 短句来源 更多
 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DNA和DNA与其他分子的相互作用及应用 短句来源 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相关肽段的克隆和表达 短句来源 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和其受体以及TRH受体的基因表达 短句来源 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生长和光学特性 短句来源 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和高碳糖氮苷的设计与合成研究 短句来源 更多
 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和的中心极限定理及其在马尔可夫链上的应用 短句来源 ON THE RANGE OF SUM OF MONOTONE MAPPINGS AND NONLINEAR INTEGRAL EQUATIONS OF URYSOHN TYPE 单调映射之和的值域与Urysohn型非线性积分方程 短句来源 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变数和的期望值与正态总体标准差的双“零—壹”线性估计量 短句来源 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和的中心极限定理 短句来源 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和的矩的估计的几点结果 短句来源 更多
 sums
 THE CENTRAL LIMIT THEOREM FOR SUMS OF DEPENDENT RANDOM VARIABLES 相关随机变量和的中心极限定理 短句来源 ON PARTIAL SUMS OF FOURIER SERIES FOR BOUNDED FUNCTIONS 关于有界函数的Fourier级数部分和 短句来源 The Approximation of the Function with Fractional Derivative in L_1 by de 1a Vallee-Poussin Sums 可微函数Vallee-Poussin和在L_1中的逼近 短句来源 Two Convergence Theorems of Weighted Sums of Random Variables 随机变数配重和的两个收敛定理 短句来源 FOUR THEOREMS ABOUT THE CONVERGENCE OF WEIGHTED SUMS OF RANDOM ELEMENTS 关于随机元序列的配重和收敛的四条定理 短句来源 更多

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 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 更多
 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. 更多
 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. 更多
 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. 更多
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