Fourier级数的O^-正则变化收敛模

对f∈L′(T),设S_n(f)=S_n(f,t)为f的Fourier级数的n项部分和,又设{R(n)}为O^-正则变化序列。本文的主要结果是:对1<P≤2,若存在一个正整数n_θ。当n>n_0时有K_n^(?)(f)=1gR(n),则有 i) {Sn(f,t)}(t≠0)在T中几乎处处收敛于f ii) {Sn(f)}依L^1(T)^-范数收敛于f的充分必要条件是(?)(n)1g|n|=0(1),|n|→∞。本文结出的关于{R(n)}的条件比stanojevic在参考文献[1]中结出的条件弱,因此是stanojevic 1987年在参考文献[1]中所获结果的推广。

含气聚合物熔体在收敛口模中的流变行为

选用修正的二阶流体本构方程，通过气泡体积大小对流变参数η（П）、β（П）、V（П）及系统密度ρ（r，θ）的影响来反映其对流变行为的影响，导出了能描述雏形流道中发泡挤出流变过程的数学模型。采用控制容积的有限差分方法进行数值计算，分析得出了抑制在收敛口模中形成气泡的条件，为制定发泡挤出成型工艺及模头设计提供了理论依据。

H-空间上随机变量序列的按模收敛

研究H-空间(Hilbert空间)上相互独立同分布随机变量序列的按模收敛性。在H-空间上定义向量的内积,定义向量的度量性质,定义向量的按模收敛,讨论独立同分布随机变量序列部分和的按模收敛及条件,给出相互独立同分布随机变量序列的按模收敛的条件。指出相互独立同分布随机变量序列和的标准化按模收敛于N(0,1)分布。

Hermite—Fejer插值多项式的收敛

本文研究基于Cbebyshev多项式零点的Hermhe—Fejer插值的收敛性问题.

非参数回归模型误差分布的相合核估计

对于非参数回归模型(1),文章基于回归函数核估计g_n(x)的残差e_(ni)=yi-g_n(xi),构造了误差分布密度的核估计f_n(x)=1/na_n sum from i=1 to n k,并在一定条件下建主了f_n(x)的一致强相合性及L_1—模收敛。

Numerical simulation of LWD resistivity response of carbonate formation using self-adaptive hp-FEM

Most of the carbonate formation are highly heterogeneous with cavities of different sizes, which makes the prediction of cavity-filled reservoir in carbonate rocks difficult. Large cavities in carbonate formations pose serious threat to drilling operations. Logging-whiledrilling （LWD） is currently used to accurately identify and evaluate cavities in reservoirs during drilling. In this study, we use the self-adaptive hp-FEM algorithm simulate and calculate the LWD resistivity responses of fracture-cavity reservoir cavities. Compared with the traditional h-FEM method, the self-adaptive hp-FEM algorithm has the characteristics of the self-adaptive mesh refinement and the calculations exponentially converge to highly accurate solutions. Using numerical simulations, we investigated the effect of the cavity size, distance between cavity and borehole, and transmitted frequency on the LWD resistivity response. Based on the results, a method for recognizing cavities is proposed. This research can provide the theoretical basis for the accurate identification and quantitative evaluation of various carbonate reservoirs with cavities encountered in practice.

PP/EVAC在拉伸流场中的相形态演变

将质量比为70/30的PP/EVAC进行共混,用单螺杆挤出机经收敛形口模挤出,考察了共混物在挤出方向和不同口模位置处的相形态。结果表明,经过螺杆剪切作用后,分散相呈片层状与纤维状结构。该分散相在口模中流动受拉伸流场作用,片层状分散相演变成截面似"哑铃形"的片层状结构,其较薄部分持续变薄甚至破裂,形成尺寸较小的片层状结构;同时纤维状分散相被拉伸变长,直径减小。

A Class of Second-Order Characteristic Difference Schemes for a Model of Population Dynamics

In this paper, a three level characteristic difference scheme is proposed for the model of age structured population with history dependent mortality and natality. It is proved that the scheme is second order convergent in the discrete l ∞ norm.

基于固态成型工艺聚合物基复合材料自增强技术研究进展

针对当前聚合物实际强度远低于理论强度的问题,介绍了固态挤出、固态拉伸等自增强技术的制备流程及其工艺特点。此外,通过分析固态形变过程中试样内部的微观形貌与分子构型,进一步研究聚合物基复合材料固态加工过程中的自增强机理。最后,通过归纳总结影响试样增强效果的因素,进一步探索聚合物基复合材料的性能上限,拓宽其在不同领域的高性能化应用。

Modified image analytical solutions for ground displacement using nonuniform convergence model

Based on the image theory,the analytical solutions of tunneling-induced ground displacement were derived in conjunction with the nonuniform convergence model.The reasonable value of Poisson ratio in the analytical solution was discussed.The ground settlement width parameter which could reflect the ground condition was introduced to modify the analytical solutions proposed above,and new analytical solutions were presented.To evaluate the validity of the present solutions using the nonuniform convergence model,the results were compared with the observed values for four engineering projects,including 38 measured data of ground settlement.The agreement shows that the present solutions using the nonuniform convergence model are effective for evaluating the tunneling-induced ground displacements.

Trajectory tracking and obstacle avoidance method for robots based on fast terminal sliding mode

For accurate trajectory tracking and obstacle avoidance in finite time of a nonholonomic mobile robot,a trajectory tracking controller based on global fast terminal sliding mode method is proposed,which has the advantages of chattering-free and adjustable convergence time.First of all,the kinematics model of the robot is established in mobile carrier coordinates.Secondly,the global structure including terminal attractor and exponential convergence of the fast terminal sliding mode trajectory tracking controller is proved by Lyapunov stability theory,ensuring that the trajectory and heading angle tracking error converges to a smaller zero range in finite time.Finally,the artificial potential field obstacle avoidance method is introduced to make the robot not only track the reference trajectory strictly,but also avoid the obstacles.The simulation results show that the proposed method can achieve a stable tracking control in finite time for a given reference trajectory.

About Moore-Sm ith Convergence on l-Module

In this paper,we first defined an important concept of convergence on l * module,which is a double lattice ordered algebraic sturcture,then discussed the properties about the convergence,finally built up a topology named l * topology.

GA BASED SYNTHESIS OF SATELLITE-BORNE MULTI-BEAM PLANAR ARRAY WITH ARBITRARY GEOMETRY

A planar array antenna with arbitrary geometry synthesis technique based on genetic algorithm is discussed. This approach avoids coding/decoding and directly works with complex numbers to simplify computing program and to speed up computation. This approach uses two crossover operators that can over-come premature convergence and the dependence of convergence on initial population. Simulation results show that this method is capable of synthesizing complex pattern shapes of planar arrays with arbitrary ge-ometry and can realize good sidelobe suppression at the same time.

Comparison of Accuracy and Convergence Rate between Equilibrium and Nonequilibrium Alchemical Transformations for Calculation of Relative Binding Free Energy

Estimation of protein-ligand binding affinity within chemical accuracy is one of the grand challenges in structure-based rational drug design. With the efforts over three decades, free energy methods based on equilibrium molecular dynamics （MD） simulations have become mature and are nowadays routinely applied in the community of computational chemistry. On the contrary, nonequilibrinm MD simulation methods have attracted less attention, despite their underlying rigor in mathematics and potential advantage in efficiency. In this work, the equilibrium and nonequilibrium simulation methods are compared in terms of accuracy and convergence rate in the calculations of relative binding free energies. The proteins studied are T4-lysozyme mutant L99A and COX-2. For each protein, two ligands are studied. The results show that the noneqnilibrium simulation method can be competitively as accurate as the equilibrium method, and the former is more efficient than the latter by considering the convergence rate with respect to the cost of wall clock time. In addition, Bennett acceptance ratio, which is a bidirectional post-processing method, converges faster than the unidirectional Jarzynski equality for the nonequilibrium simulations.

Fast integrated guidance and control with global convergence

A global fast convergent integrated guidance and control design approach is proposed. A disturbance observer is utilized to estimate the uncertainties of integrated guidance and control model in finite time. According to the multiple sliding-mode surface control, the independent nonsingular terminal sliding functions are presented in each step, and all the sliding-mode surfaces run parallel. These presented sliding-mode surfaces keep zero value from a certain time, and the system states converge quickly in sliding phase. Therefore, the system response speed is increased. The proposed method offers the global convergent time analytically, which is useful to optimize the transient performance of system. Simulation results are used to verify the proposed method.

Prediction of plastic zone size around circular tunnels in non-hydrostatic stress field

This paper discusses the calculation of plastic zone properties around circular tunnels to rock-masses that satisfy the Hoek–Brown failure criterion in non-hydrostatic condition,and reviews the calculation of plastic zone and displacement,and the basis of the convergence–confinement method in hydrostatic condition.A two-dimensional numerical simulation model was developed to gain understanding of the plastic zone shape.Plastic zone radius in any angles around the tunnel is analyzed and measured,using different values of overburden(four states)and stress ratio(nine states).Plastic zone radius equations were obtained from fitting curve to data which are dependent on the values of stress ratio,angle and plastic zone radius in hydrostatic condition.Finally validation of this equation indicate that results predict the real plastic zone radius appropriately.

广义Orlicz空间上的连续线性泛函

A.Dol和B.Eckman在〔1〕中讨论了广义Orlicz空间上的连续线性泛函,但是他对函数Φ(t,u)的要求是苛刻的。这就使得〔1〕所讨论的问题仍然没有超出N-函数的范围。本文将条件1°去掉,在此情况下得出,对任意y∈L~φ,f(x)=∫x(t)y(t)dμ(x∈L~φ)是L~φ上的模连续性泛函,从而改进了〔1〕的结果。

Global optimization by small-world optimization algorithm based on social relationship network

A fast global convergence algorithm, small-world optimization (SWO), was designed to solve the global optimization problems, which was inspired from small-world theory and six degrees of separation principle in sociology. Firstly, the solution space was organized into a small-world network model based on social relationship network. Secondly, a simple search strategy was adopted to navigate into this network in order to realize the optimization. In SWO, the two operators for searching the short-range contacts and long-range contacts in small-world network were corresponding to the exploitation and exploration, which have been revealed as the common features in many intelligent algorithms. The proposed algorithm was validated via popular benchmark functions and engineering problems. And also the impacts of parameters were studied. The simulation results indicate that because of the small-world theory, it is suitable for heuristic methods to search targets efficiently in this constructed small-world network model. It is not easy for each test mail to fall into a local trap by shifting into two mapping spaces in order to accelerate the convergence speed. Compared with some classical algorithms, SWO is inherited with optimal features and outstanding in convergence speed. Thus, the algorithm can be considered as a good alternative to solve global optimization problems.

Interaction Study between Population Mobility and Economic Growth : Evidence from Chongqing

Based on economic convergence model and its derivatives, this paper examines the relationship between popultion mobility and economic growth in Chongqing and its five functional areas by using 2000~2013 panel data. The results show that there exists interactive relationship between population mobility and economic growth, and this interaction is rendered as mutual inhibition. The restrain from economic growth to population mobility shows smaller effect than the reverse. In the sparsely populated areas, economic growth is promoted by population mobility, and in the densely populated areas, economic growth is driven by investment. Therefore, government has to regulate population mobility to achieve sustainable economic growth.

Simulation for Synthesis of TAME with Catalytic Distillation Process

The triangular matrixing modified relaxation model equation was established for the syn-thesis of TAME with catalytic distillation process, and a new accelerated convergence technique was adopted. The simulation on the synthesis of TAME showed that the calculated data agreed well with the experimental results.