Compact storage schemes for formatted files by spanning trees

The use of spanning trees in the compression of data files is studied. A new upper bound for the length of the minimal spanning tree, giving the size of the compressed file, is derived. A special front compression technique is proposed for unordered files. The space demands are compared to an information theoretical lower bound of the file size.     

Oblique Derivative Problem for Quasilinear Mixed (Lavrentév-Bitsadze) Equations of Second Order in Two Connected Domains

In this article, we first give the representation of solutions for the oblique derivative problem of mixed (Lavrentév-Bitsadze) equations in two connected domains, afterwards prove the uniqueness of solutions of the above problem. Moreover, we prove the solvability of oblique derivative problem for quasilinear mixed (Lavrentév-Bitsadze) equations of second order, and obtain a priori estimates of solutions of the above problem. The above problem is an open problem proposed by Rassias.     

Gel'fand三元组上Lévy过程的随机积分

本文研究了算子值过程关于Gel’fand三元组EHE*上Lévy过程的随机积分.利用再生核Hilbert空间上柱Lévy过程的随机积分,定义一类算子值过程关于E*-值Lévy过程的随机积分。     

一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性

本文研究了一类具类p-Laplacian项Liénard微分方程.应用广义Borsuk定理,在系数c(t)为非常值函数的情况下,得到了该方程周期解存在性的一个新的结果.

Abstract：

In this article,we study a kind of p-Laplacian-like Liénard differential equation.By using the generalized Borsuk theorem in coincidence degree theory,a new result on the existence of its periodic solution is obtained in the case that the cofficient c(t)is not a constant function.     

The Local Front Reconstruction Method for direct simulation of two- and three-dimensional multiphase flows

We present a new interface reconstruction technique, the Local Front Reconstruction Method (LFRM), for incompressible multiphase flows. This new method falls in the category of Front Tracking methods but it shares automatic topology handling characteristics of the previously proposed Level Contour Reconstruction Method (LCRM). The LFRM tracks the phase interface explicitly as in Front Tracking but there is no logical connectivity between interface elements thus greatly easing the algorithmic complexity. Topological changes such as interfacial merging or pinch off are dealt with automatically and naturally as in the Level Contour Reconstruction Method. Here the method is described for both two- and three-dimensional flow geometries. The interfacial reconstruction technique in the LFRM differs from that in the LCRM formulation by foregoing using an Eulerian distance field function. Instead, the LFRM uses information from the original interface elements directly to generate the new interface in a mass conservative way thus showing significantly improved local mass conservation. Because the reconstruction procedure is independently carried out in each individual reconstruction cell after an initial localization process, an adaptive reconstruction procedure can be easily implemented to increase the accuracy while at the same time significantly decreasing the computational time required to perform the reconstruction. Several benchmarking tests are performed to validate the improved accuracy and computational efficiency as compared to the LCRM. The results demonstrate superior performance of the LFRM in maintaining detailed interfacial shapes and good local mass conservation especially when using low-resolution Eulerian grids.     

激光显示照明光路中复眼透镜的设计

设计激光投影机光学系统需要从如何减小光学系统的体积和提高激光光源的光效两个方面考虑。研究了激光显示照明系统中的复眼透镜,并对设计的复眼小透镜矩形单元进行了优化,发现在复眼透镜整体尺寸和单颗复眼小透镜焦距一定的情况下,整个复眼透镜上的阵列越多,即复眼透镜上蜂窝的数量越多,其匀光效果就越好,且此时投影机系统的体积也较小。为了提高激光光源的光效,设计中对复眼透镜在不同数值孔径照明光束下的匀光效果进行了讨论。并对优化设计后的复眼透镜进行40 000条光线追迹,实验显示其光线透过率可以达到92.5%,且几乎无杂散光。     

Algorithms and Identities for(q,h)-Bernstein Polynomials and(q,h)-Bézier Curves–A Non-Blossoming Approach

We establish several fundamental identities,including recurrence relations,degree elevation formulas,partition of unity and Marsden identity,for quantum Bernstein bases and quantum Bézier curves.We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bézier curves.Our proofs use standard mathematical induction and other elementary techniques.     

二帧变换光源阴影莫尔技术研究

为了快速测量物体表面三维轮廓,提出一种变换光源位置的相移阴影莫尔技术.该方法通过控制两个光源的亮灭,将相移引入测量视场.使用二维经验模式分解法对条纹图进行正则化,结合螺旋相位变换方法和二帧相移算法对测量高度进行估计,利用发展的迭代自调算法提取精确测量相位.计算机仿真和光学实验结果表明,该方法的解调准确度优于现有的二帧相移解调算法,同时,由于消除了测量过程中必要的机械运动,只需要二帧条纹图进行相位解调,节约了测量时间.     

ON THE CRAM(E)R-LUNDBERG RISK MODEL WITH A CONSTANT FORCE OF INTEREST AND SURPLUS-DEPENDENT LOSS-CARRY-FORWARD TAX STRUCTURE

本文研究了带常数利率和盈余相依型loss-carry-forward税收系统的Cramér-Lundberg风险模型.利用无穷小分析方法及该过程具有的的强马氏性,得出了保险公司从开始运营到破产期间税收折现总额的数学期望表达式.作为例子,本文给出了指数分布索赔假定下该税收折现函数的具体表达式.     

Gel’fand三元组上多分数Lévy过程(英文)

本文研究了Gel’fand三元组上多分数Lévy过程.通过将分数Lévy过程的参数替换为依赖于时间t的函数,从而定义了Gel’fand三元组上的多分数Lévy过程以及其一维边际分布和协方差函数.