关于二阶复域微分方程解的导数的不动点

研究了4类二阶整函数系数线性微分方程解的导数的不动点问题，发现解的导数的不动点密度与解的增长性有着密切联系．     

修正的S.N.Bernstein型三角插值多项式的逼近

构造了一个三角多项式算子Hn(f；r，x)(r为自然数)，使其对每一个以2π为周期的连续函数都能在全实轴上一致收敛，并给出了最佳收敛阶的估计．     

自由与秩序法律价值冲突的反思

自由与秩序并非一对冲突的法律价值。自由与秩序法律价值的冲突,实质上应为自由与存在于法律秩序中的其他价值追求的冲突。秩序价值是自由价值形成的基础,人们通过法律在获得自由价值的同时必然也相应地获得秩序价值;同时,秩序价值必须依附于其他价值而存在,抽象的、不包含其他价值的秩序价值是不存在的。     

回文与诗词

回与诗词结合，形成了回诗词。唐宋诗人、词人创作了大量的回诗词，这种修辞具有强烈的斗智、逗趣的游戏色彩。根据回诗词回读的特点，把回诗词分为六种类型：(1)句内回；(2)上、下句回；(3)半篇回；(4)全篇逆读回；(5)顶针回；(6)亦词亦诗的回。从语言世界、化世界和心理世界等三个层面探讨了回诗词的存在理据。     

动态绘制任意阶Bezier曲线的算法及其实现方法

介绍了如何利用VC 编程技术在图形系统中动态绘制任意阶Bezier工程曲线方法，并且使绘制的曲线具有捕捉、修改、动态增加型值点等功能。利用同样的方法，可以实现B样条、三次参数等其它工程曲线的绘制，从而扩大了Bezier等曲线的工程应用。     

双弹簧振子的振动分析

利用分析力学中的拉格朗日方程，推导出了双弹簧振子在小振幅情形下的非线性微分方程，并采用同伦摄动法解出了方程的一阶近似解及一阶近似周期，为工程应用提供了理论基础。     

Difference schemes on non-uniform mesh and their application

High order accurate schemes are needed to simulate the multi-scale complex flow fields to get fine structures in simulation of the complex flows with large gradient of fluid parameters near the wall, and schemes on non-uniform mesh are desirable for many CFD (computational fluid dynamics) workers. The construction methods of difference approximations and several difference approximations on non-uniform mesh are presented. The accuracy of the methods and the influence of stretch ratio of the neighbor mesh increment on accuracy are discussed. Some comments on these methods are given, and comparison of the accuracy of the results obtained by schemes based on both non-uniform mesh and coordinate transformation is made, and some numerical examples with non-uniform mesh are presented.     

Computer simulation for the precipitation process of Ni75Al7.5V17.5 alloy

The precipitation mechanism of Ni75Al7.5V17.5 alloy above the L12 instability line, between the L12 and D022 instability lines and below the D022 instability line are studied using microscopic phase-field kinetic equation. This paper is aimed at investigating the effect of temperature on precipitation mechanism and morphological evolution of the alloy. Our simulations demonstrate that the precipitation is a mixed mechanism of non-classical nucleation growth and spinodal decomposition above the L12 instability line. It needs certain thermal fluctuations for nucleation and the number of θ phases is small at this temperature. The precipitation mechanism of γ'phase is congruent ordering followed by spinodal decomposition, and θ phase is a mixed mechanism of non-classical nucleation growth and spinodal decomposition between the L12 and D022 instability lines. The mechanism below the D022 instability line is similar to that between the L12 and D022 instability lines. With the decrease of the temperature, ordering and phase separation becomes fast, the dimension of γ'phase becomes small, the shape transforms from equiaxed to block, the dimension of θ phase becomes large and the shape transforms from strip to circle.     

考虑质量风险时供应链订货批量的博弈分析

中间产品的质量缺陷给供应链的订货过程带来质量风险。提出了一种综合质量风险和采购库存成本的供应链订货批量模型,比较了考虑质量风险与不考虑质量风险时的供应链订货批量的差异。研究结果表明,无论在非合作还是在一体化的情况下,考虑质量风险时的订货批量都比不考虑质量风险时的批量小。     

一种运动目标提取方法及其应用

介绍了一种利用高阶统计量(higherorderstatistics,HOS)提取视频序列中运动目标的新方法,并将其应用到人脸识别技术中。利用HOS对高斯噪声的不敏感性分离运动区域和背景,进一步提取出运动目标。当提取出的视频序列中的运动对象为人体时,利用主元素分析法(principlecomponentanalysis,PCA)进行人脸识别。实验证明,算法计算简单,速度快,用于人脸识别时能正确提取出运动的人体。