利用数形结合方法求解几类代数问题

数学研究的对象是现实世界的数量关系(数)和空间形式(形)。“数”和“形”常按照一定的条件相互转化。数形结合思想是数学的重要的思想方法之一,并蕴于数学基础知识和基本技能之中,在数学解题中应用十分广泛。其实质是将抽象的数学语言与直观图形结合起来,发挥“数”与“形”两种信息的转化及其优势互补与整合,使逻辑思维与形象思维完美统一起来。对于培养学生的创新意识和创造思维具有积极的促进作用。     

整环上不定方程组的通解公式及其应用

借助Z上矩阵A∈Mm×n(Z)的标准形式D=VAU=diag(d1,d2,…,dq,0,…,0),得到了整环上不定方程组AX=B的通解公式以及矩阵初等变换法.     

基于ADSP21160的机载图像处理系统

为解决飞机上显示器高亮度背景下无法看清画面的问题,基于模块化设计思想,提出了以DSP AD-SP21160为核心处理器的机载视频图像数字化硬件实现方案.即将红外夜视图像和微光图像处理的算法移植到作为系统的主要数据处理单元DSP上,并使用CPLD控制时序.经调试表明,该方案成功地解决了画面的亮度、对比度等问题.     

动态灰色时序系统 DGTS 及其在安全策略规范中的应用

设计安全策略模型时应考虑安全策略的时序特性和灰色特性,还应综合考虑保密性、完整性和可用性三方面的需求。已有的安全模型没有描述时序性和灰色特性,而且一般只侧重描述保密性或完整性。为此,本文提出了动态灰色时序系统（简称ＤＧＴＳ）。本文详细描述了ＤＧＴＳ,以及基于ＤＧＴＳ的动态语义设计的灰色时序安全策略规范语言ＧＴＳＬ。     

The structure of the defense industry and the security needs of the country: a differentiated products model

This paper models the interactions between the defense needs of the USA and Western Europe, which produce several heterogeneous defense goods, and the defense industry market structure. The results show that net defense costs of the USA and Europe are lower when the number of defense firms in each arms‐producing country is small and when the world prices of the defense goods are high. The model predicts that the increase in world prices will crowd‐out countries in the developing world from the market for modern weapon systems and may force them to develop and use ‘cheap and dirty’ weapon systems.     

Estimating defence budget saving from disarmament: the United States’ case

Probing the technology in the production of US national defence by using a dynamic cost‐function model with adjustment costs, this paper evaluates the effect of reducing the level of national defence on the defence budget saving. Our inquiry involves estimating the defence production structure without output data for non‐market goods that are normally unavailable. Our findings include: (i) the United States behaves rationally to minimize cost in the production of national defence; (ii) the adjustment costs are larger in disarmament than in military build‐up; (iii) due to the adjustment costs peculiar to disarmament, the defence budget saving from disarmament appears small, but cutbacks allow great savings on the defence budget.     

色空间对HDRI亮度测量方法的影响

相机内置预处理环节中的白平衡、色度空间转换是数码成像过程中的重要环节,sRGB和Adobe RGB是数码相机2种常用的色空间.为进一步研究色空间对HDRI亮度测量方法的影响,在荧光灯照明的实验室,分别利用sRGB和Adobe RGB色空间对色板成像,测量该亮度测量方法中各色板的标定因数,计算各色板标定因数的相对不确定度.实验结果表明:2种不同色空间获得的标定因数不同,且Adobe RGB色空间标定因数相对不确定度的平均值小于sRGB色空间的;色空间改变后,标定因数需要重新进行标定,且优先选用色域较宽的Adobe RGB色空间.     

基于灰色AHP方法的综合航电系统效能

针对在对综合航电系统效能进行评估的过程中经常遇到多指标度量效能的情况,提出了一种将层次分析法和灰色系统理论相结合的效能评估方法,对航空电子系统中多指标度量效能进行评估.最后,通过实例计算表明使用这种方法获得的评估结果更加客观、科学,对综合航空电子系统效能的评估具有一定的参考价值.     

Nonparametric bayesian lifetime data analysis using dirichlet process lognormal mixture model

We propose a nonparametric Bayesian lifetime data analysis method using the Dirichlet process mixture model with a lognormal kernel. A simulation‐based algorithm that implements the Gibbs sampling is developed to fit the Dirichlet process lognormal mixture (DPLNM) model using rightly censored failure time data. Five examples are used to illustrate the proposed method, and the DPLNM model is compared to the Dirichlet process Weibull mixture (DPWM) model. Results indicate that the DPLNM model is capable of estimating different lifetime distributions. The DPLNM model outperforms the DPWM model in all the examples, and the DPLNM model shows promising potential to be applied to analyze failure time data when an appropriate parametric model for the data cannot be specified. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

单幅Bayer格式图像的快速去雾方法

为了降低雾天对成像的影响,获得实时的去雾效果,对彩色图像处理流程进行改进,提出一种新颖快速的基于Bayer图像和暗原色先验模型的单幅图像去雾方法。Bayer图像是数码相机采集的原始图像数据,数据量小。针对Bayer图像像素排列特点,对原有暗原色先验去雾算法进行了优化和改进。运用四叉树细分算法估算大气光,根据Bayer图像特点修正了Guided Filter,并利用修正的滤波器优化大气透射图,进而恢复出无雾Bayer图像,采用去马赛克及系列后处理算法获得清晰的显示图像。实验结果表明,新方法在一定程度上改善了原算法去雾效果,并显著提高了运算速度。