相容关系与相容核

给定论域上的相容关系,本文提出了相容核的概念。较之于相容关系的最大相容类,相容核是一个局部化的相容类。我们还讨论了有关相容核的若干数学性质,并且给出了相容关系与其相应的相容核族之间相互唯一确定的充分必要条件。     

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。     

伪t-模与L-关系方程的解集

研究了sup T类与inf I类方程的解结构 ,并在特定条件下分别给出了它们的解集 ,其中L为完备Brouwer格 .T为无穷∨ 分配伪t 模 ,I是无穷∧ 分配蕴涵算子 ,I =I(T) .     

流体静力学的外微分形式

用几何的观点，把微分形式引进流体静力学，从而得到了热力学第一定律的一次形式．并利用外微分的性质，导出了流体静力学的一些基本关系．     

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.     

技术风险与对策研究

本文首先分析了技术风险的概念和特点及其发生的内在机制和各种模式 ,并通过探讨如何建立一套有效的技术风险评估体系 ,提出了技术风险的应对措施 ,以有效防范或减少技术风险。     

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。