Nonlocal overdetermined boundary value problem for stationary Navier-Stokes equations

A stationary system of Stokes and Navier-Stokes equations describing the flow of a homogeneous incompressible fluid in a bounded domain is considered. The vector of the flow velocity and a finite number of nonlocal conditions are defined at a part of the domain boundary. It is proved that, in the linear case, the problem has at least one stable solution. In the nonlinear case, the local solvability of the problem is proved.     

多项Probit模型中回归系数的逆回归估计

本文将多项Probit模型推广到更一般的形式, 研究了推广的多项Probit模型的逆回归性质,给出了回归系数的逆回归估计方法, 并证明了在满足一些条件时估计是渐近正态的. 模拟表明逆回归估计方法有良好的表现.     

On large deviations in testing Ornstein–Uhlenbeck-type models

We obtain exact large deviation rates for the log-likelihood ratio in testing models with observed Ornstein–Uhlenbeck processes and get explicit rates of decrease for the error probabilities of Neyman–Pearson, Bayes, and minimax tests. Moreover, we give expressions for the rates of decrease for the error probabilities of Neyman–Pearson tests in models with observed processes solving affine stochastic delay differential equations.      

Utilization of TXRF analytical technique in order to improve front-end semiconductor processing

In this paper, we summarize how the introduction of in-line TXRF monitoring provides detailed analytical information on aluminum, titanium and molybdenum contamination levels in order to improve several process steps from front-end processing, minimize product yield loss and make it possible to successfully manufacture multiple products and process geometries in the same fabrication platform.     

含羧基和吡啶基两性离子交换纤维的制备研究

采用γ射线预辐照PP纤维引发 4VP和AA(或AANa)或 4VP和MAA(或MAANa)接枝共聚 ,制得不同接枝率和不同链段结构的弱酸弱碱两性离子交换纤维。采用 4VP/AANa共接枝时 ,在不同单体投料比范围内获得高于 4 2 0 %的总接枝率。研究了纤维的预辐照剂量、单体浓度、摩尔盐含量、交联剂含量以及接枝温度和时间等条件对接枝共聚反应的影响。适宜的接枝共聚反应条件为 :预辐照剂量为 8× 10 4Gy ,单体浓度 10 % ,摩尔盐加入量约 0 .0 5 % ,交联剂用量 2 % ,接枝温度 65℃ ,时间 4h。发现两性纤维呈现双螺旋结构形态。对比自制的弱酸、弱碱离子交换纤维 ,所制备的两性纤维对酸性、中性、碱性氨基酸的吸附量比较大 ,对不同氨基酸具有不同的吸附分离能力     

On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities

Certain properties of the nonlinear self-adjoint eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities are examined. Under certain assumptions on the way in which the matrix of the system and the matrix specifying the boundary condition at a regular point depend on the spectral parameter, a numerical method is proposed for determining the number of eigenvalues lying on a prescribed interval of the spectral parameter.     

基于生活水平货币度量的助学贷款被助者的经济效益研究

随着国民经济的增长以及教育成本的提高,大学学费也相应逐年提高.但是我国还存在相当数量的贫困生.助学贷款是解决贫困生完成学业的重要途径.论文站在助学贷款被助者的立场上,将被助者获得的经济效益进行了具体的定量化分析.首先分别讨论了两期不考虑银行利息率和考虑银行利息率情况下,基于CES型效用函数的助学贷款被助者经济效益的计算模型,然后分析了如何计算多期银行利息率情况下贷款被助者的经济效益.最后针对被助群体进行实证分析、计算并得出结论.     

Application of parallel heuristic algorithms for speeding up parallel implementations of the branch-and-bound method

A scheme for the parallel implementation of the combined branch-and-bound method and heuristic algorithms is proposed. Results of computations for the one-dimensional Boolean knapsack problem are presented that demonstrate the efficiency of the proposed approach. The main factors that affect the speedup of the solution when local optimization is used are discussed.     

Negative asymptotic topological dimension, a new condensate, and their relation to the quantized Zipf law

We introduce the notion of weight for the asymptotic topological dimension. Planck’s formula for black-body radiation is refined. We introduce the notion of negative asymptotic topological dimension (of hole dimension). The condensate in the hole dimension is applied to the quantized Zipf law for frequency dictionaries (obtained earlier by the author).     

A global characterization of the Fu?ík spectrum for a system of ordinary differential equations

The Fu?ík spectrum for systems of second order ordinary differential equations with Dirichlet or Neumann boundary values is considered: it is proved that the Fu?ík spectrum consists of global C¹ surfaces, and that through each eigenvalue of the linear system pass exactly two of these surfaces. Further qualitative, asymptotic and symmetry properties of these spectral surfaces are given. Finally, related problems with nonlinearities which cross asymptotically some eigenvalues, as well as linear-superlinear systems are studied.