函数类(?)_∞~r在Orlicz空间内的n宽度

讨论了由非退化的全正核K(x,y)和具有特定性质的函数系{ki(x)}ri=1所确定的某一函数类 (?)∞在Orlicz空间内的n-K宽度,n-G宽度,n-L宽度的精确估计问题.     

对线性规划单纯形法的注记

为了更有效地应用单纯形算法求解线性规划问题,本文提出了以下几点注记。(1)人工变量列不必参与数值计算,也不占存储空间,从而可大量节省计算量和存储量;(2)使用基变量指标集来判断人工变量是否离基,可避免舍人误差的影响;(3)虚设人工变量的最终非零值对于修改存在矛盾的数学模型将起着关键性作用;(4)可将大M法与两阶段法统一处理,且M可不取具体的数值,也不参与数值计算;(5)实际计算中宜将Dantzig算法与Bland算法结合起来使用,既可对一般问题达到快速收敛的目的,又可避免退化问题可能产生的循环现象,而且在软件设计与实现上要比字典序方法等简单容易;(6)对于大型稀疏矩阵的计算机数据录入,建议采用二元数组的数据结构逐行录入,则可节省三分之一的录入工作量。     

流向受限运输问题解法研究

本文讨论了流向受限运输问题虚运价取适当值时,最优解中不含非退化的限制配点,使解法更明确,并改进了模型[1]。     

非线性退化抛物型方程

In this paper we study a nonliner degenerate parabolic equation for the second boundary value problem.using the method of regularity we prove the existence and uniqueness of weak solution.     

草地退化的高光谱遥感监测方法

我国草地分布面积广,退化情况严重,实时、准确地监测草地的生态状况,对于区域气候、碳循环研究以及经济发展具有重要意义。利用地面实测光谱数据进行了高光谱草地退化监测研究。选择内蒙古呼伦贝尔市的温性草甸草原为研究对象,测量了草甸草原的羊草、克氏针茅、冷蒿等多种植物的叶片、冠层以及多种植物混合的群落反射率光谱数据。通过有效的光谱特征参量化方法,提取叶片和冠层光谱的光谱特征,准确区分了草甸草原的几种建群和退化指示草本植物,验证结果表明光谱识别的精度高于95%。以此为基础,利用线性光谱混合模型对群落植被的混合光谱数据进行混合光谱分解,得到各组分的覆盖度,误差在5%以内。该文的研究结果为高光谱遥感草地监测提供了有力依据。     

X射线探测器图像的恢复研究

图像退化是引起X射线探测器图像质量下降的主要原因。图像恢复,可以提高系统的分辨率和对比度灵敏度。通过对射线成像系统图像退化的分析,介绍了反滤波信号恢复方法,并提出了一种近似恢复算法,该算法将反滤波恢复近似为除法运算的恢复。给出了恢复前后的图像及标准差的对比,实验结果表明了该算法的有效性。     

Effect of interface-roughness scattering on mobility degradation in SiGe p-MOSFETs with a high-k dielectric/SiO2 gate stack＊

A physical model for mobility degradation by interface-roughness scattering and Coulomb scattering is proposed for SiGe p-MOSFET with a high-k dielectric/SiO2 gate stack. Impacts of the two kinds of scatterings on mobility degradation are investigated. Effects of interlayer （SiO2） thickness and permittivities of the high-k dielectric and interlayer on carrier mobility are also discussed. It is shown that a smooth interface between high-k dielectric and interlayer, as well as moderate permittivities of high-k dielectrics, is highly desired to improve carriers mobility while keeping alow equivalent oxide thickness. Simulated results agree reasonably with experimental data.     

Generalized reduced-order synchronization of chaotic system based on fast slide mode

A new kind of generalized reduced-order synchronization of different chaotic systems is proposed in this paper. It is shown that dynamical evolution of third-order oscillator can be synchronized with the canonical projection of a fourth-order chaotic system generated through nonsingular states transformation from a cell neural net chaotic system. In this sense, it is said that generalized synchronization is achieved in reduced-order. The synchronization discussed here expands the scope of reduced-order synchronization studied in relevant literatures. In this way, we can achieve generalized reduced-order synchronization between many famous chaotic systems such as the second-order D\"{u}ffing system and the third-order Lorenz system by designing a fast slide mode controller. Simulation results are provided to verify the operation of the designed synchronization.     

Fundamental Solution of the Anisotropic Porous Medium Equation

We establish the existence of fundamental solutions for the anisotropic porous medium equation, ut = ∑n i=1（u^mi）xixi in R^n × （O,∞）, where m1,m2,..., and mn, are positive constants satisfying min1≤i≤n{mi}≤ 1, ∑i^n=1 mi 〉 n - 2, and max1≤i≤n{mi} ≤1/n（2 ＋ ∑i^n=1 mi）.