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 For the linear regression model Y=X β+e,e～(0,σ2W),W≥0,rank(X)=q, Some appropriate restrictions are given,the generalized ridge estimation of the linear model's parameter under the ellipsoidal restriction is obtained,and their characters are studied further,the sufficient and necessary term is obtained that MDE-I affects GLS. 对于设计矩阵病态的线性回归模型y=Xβ+e,e-(0,σ2W),W≥0,给出适当的约束条件,得到了拓展的广义岭型估计,并进一步研究了其性质,得到了MDE-I有效于GLS的充分条件,改进了前人的研究结果. 短句来源 Here {ei,i = 1, 2, …,n } are α-mixing sequences. Under some appropriate conditions, we prove the strong consistency and asymptotic normality of the M-estimation of θ. 当（ei，i=1，2，…，n｝为α混合序列时，本文在适当条件下证明了θ的M估计量具有一致相合性和渐近正态性。 短句来源 Under some appropriate forms, the quasitriangular structure of H~ *(A) is constructed as well. 利用适当形式,构造了H*(A)上的拟三角结构. 短句来源 A kind of semilinear elliptic equation-Δu=p(x)u~α+q(x)u~(-β)-h(x)~γis concerned,where x∈R~N,N≥3,α∈[0,1),β>0,γ≥1.Some appropriate conditions are given with the aid of sup and subsolution method,which guarantee the existence of positive solutions that tend to any positive constant prescribed in advance. 其中:x∈RN,N≥3; α∈[0,1),β>0,γ≥1.对于任意预先给定的正数,应用上下解方法证明了在适当条件下此方程全局正解存在,并在无穷远处趋于此正数. 短句来源 with the help of decay estimates of linear problem in some appropriate Banach space,when space dimension n satisfy some hypothesis conditions,initial value being appropriate smooth,and in some Sobolev space,norm being enough small,By simple iterative form and common condense image principle,Existence and uniques of the global classical solutions of equations are proved . 借助线性问题的衰减估计,在设定的Banach空间中,当空间维数n满足一定的假设条件,初始值适当光滑,且在某些Sobolev空间中的范数足够小,利用简单的迭代格式和普通的压缩映象原理证得了方程整体经典解的存在唯一性。 短句来源 更多
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 In this paper, the authors develop some integral formulas for compact space-like hypersurfaces in anti-de Sitter spacetime H1n+1 and apply them to characterize the totally umbilical ones in H1n+1 as the only compact space-like hypersurfaces with constant higher order mean curvature under some appropriate hypothesis. 该文对anti-de Sitter空间H1n+1中的紧致类空超曲面建立了积分公式,并应用它们在常高阶平均曲率的条件下讨论了H1n+1中紧致类空超曲面的全脐问题． 短句来源 Second, we give an estimate about the solution dependence on fractional order, using the estimate to obtain some appropriate solution for such differential equations. 第二,我们还给出了分数阶微分方程的解关于它的导数阶数连续依赖性的估计式,利用这一估计式可以用来求得某些分数阶微分方程的近似解。 这个结果总结在我们的文章[2]中。 短句来源 expansions in L~2 ((0,1)~2) with respect to some appropriate Riesz bases. L~2(R~2)的采样定理。 短句来源 The last,we study the properties of the basic vector field and 1-form in the Poisson-Nijenhuis manifold,making a systematic organization of these contents and giving some appropriate adds. 最后我们研究了Poisson-Nijenhuis流形上基本向量场和基本1-形式，对已有的成果进行了系统的整理，并加以补充。 短句来源 Particularly, when p = 1, our result is Montiel's in case of H = 0.In chapter three, we develop some integral formulas for compact space-like hypersurfaces in anti-de Sitter spacetime H_~(n+1) and apply them in order to characterize the totally umbilical ones in H_~(n+1) as the only compact space-like hypersurfaces with constant higher order mean curvature under some appropriate hypothesis. 当p=1时,该结果就是Montiel在H=0时的结论。 第三章,我们对anti-de Sitter空间中的紧致类空超曲面建立了积分公式,并应用它在常高阶平均曲率的条件下讨论了该超曲面的全脐问题。 短句来源 更多

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 some appropriate
 In the formulation we first introduce some appropriate transformations into the heterogeneous medium and transform the problem into an isotropic matrix consisting of two analogous ellipsoidal inhomogeneities. However, the application of this extended procedure is often hampered by its complexity in computation and by lack of some appropriate theory. However, in some cases, the original XML elements are sensitive and inaccessible, but after being processed in some appropriate ways, the results become insensitive and thus accessible. One is to discount utilities of future consequences at some appropriate rate. This allows the main results of the paper to be interpreted as stemming out of the impossibility of always deciding whether a player is rational or not in some appropriate sense. 更多
 Taking multistage column as a mechanical model, the basic equation for calculating critcal load of multistage cylinder with ball—hinged ends is derived of which the single—stage cylinder is a special case. As the above equation is a transcendental one, it cannot be solved readily. Through some appropriate mathematical transformation, however, a calculating equation for practical use is established. 本文以阶梯立柱作为力学模型,导出了两端球铰的伸缩油缸临界力基本计算公式(单级油缸临界力计算公式是它的特例)。由于该公式是一超越方程式,无法直接求解,为此,作者又从数学上作了适当的函数变换,通过变换,最后建立了两端球铰的伸缩油缸临界力的计算公式。 In this paper, we consider the perturbation problem for second order semilinear elliptic equation with perturbation both in boundary and in operator. Under some appropriate assumptions, we obtain the existence and the asymptotic expansion for the solution of the problem and give a estimation for the remainder term. 本文考虑边界和算子摄动相结合的一类半线性椭圆型方程解的渐近式的构构。在引入适当的稳定性条件下,利用双参数展开法构造方程解的渐近展开式,并给出了有关的余项估计。 A generalized shock model is studied. The probability P_k(t) of surviving k shocks at time t depends not only on k, but also on the age of the system. So the survival probability can be written as: H(s)=sum from k=0 to ∞ P_k(t)P{N(t)=k}. For generalized Poisson shock process and the continuous wear process with stationary independent nonnegative increments, we studied some appropriate conditions under which the survival probabilities are IFR, IFRA, NBU, NBUE respectively. For instance under the condition... A generalized shock model is studied. The probability P_k(t) of surviving k shocks at time t depends not only on k, but also on the age of the system. So the survival probability can be written as: H(s)=sum from k=0 to ∞ P_k(t)P{N(t)=k}. For generalized Poisson shock process and the continuous wear process with stationary independent nonnegative increments, we studied some appropriate conditions under which the survival probabilities are IFR, IFRA, NBU, NBUE respectively. For instance under the condition that P_k(t) is bivariate IFR(NBU) and other conditions, H is IFR (NBU). We give some applications of the theory. 本文讨论更一般化的冲击模型。时间t时,冲击次数为k的条件下,系统仍未失效的概率为P_k(t),它不仅依赖于冲击次数,还依赖于时间t。从而系统的生存概率为: H(t)=sum from k=0 to ∞ (P{N(t)=K})。本文对一般Poisson冲击过程以及具有独立、平稳、非负增量性的连续磨损过程,证明了H对于P_k(t)的分布类的继承性,即在一些正则条件下,当P_k(t)属于二维 IFR(NBU)时,H属于IFR(NBU),及当P_k(t)对任意t, 对k属于IFRA时,H属于IFRA。最后给出了一些应用。 << 更多相关文摘
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