On equalities for BLUEs under misspecified Gauss-Markov models

This paper studies relationships between the best linear unbiased estimators （BLUEs） of an estimable parametric functions Kβunder the Gauss-Markov model {y, Xβ, σ^2]E} and its misspecified model {y, X0β,σ^2∑0}. In addition, relationships between BLUEs under a restricted Gauss Markov model and its misspecified model are also investigated.     

一类递归关系模型的求解方法

递归关系不仅在数学中有广泛应用,而且在计算机算法设计与分析中也有广泛应用.本文对Josephus问题进行了推广,得到一类更广泛的递归关系模型.讨论了这类模型的求解方法,采用d-进制记数法,给出了这类递归关系模型的解.     

一类具Holling-IV的捕食-食饵系统的Hopf分岔

研究了具有简化Holling-IV功能反应函数捕食-食饵模型二阶细焦点的Hopf分岔问题.运用隐函数存在定理,证明了该模型二阶细焦点确定的系数经扰动后在其邻域内有二个极限环.     

一种KI和H_3BO_3混合溶液中KI浓度的测定方法

本发明涉及分析测试领域,特别涉及一种KI和H3BO3混合溶液中KI浓度的测定方法。该方法包括:(1)测定待测液的电导率;(2)将H3BO3转化成络合酸;(3)滴定反应;(4)计算H3BO3的质量浓度;(5)计算KI质量浓度。该方法试剂种类少而且使用量少,所使用的试剂也容易得到,价格也不高,使操作过程更加方便快捷,还大大降低了测量的成本;同时加入了电导率的测量和函数模型拟合的计算,减少了人工的工作量,也防止了人工操作容易造成的误差,提高了测量结果的准确性。     

基于代数滑移模型的光催化反应器内催化剂颗粒分布特性研究

针对光催化制氢反应器内液固两相流的特点,运用代数滑移模型,对反应器内的催化剂颗粒-水两相流动进行了数值模拟。采用分块的结构化网格,并运用多重网格方法进行求解。通过与前人实验中压力梯度结果的比较,对模型进行了验证,并最终得到了反应器内催化剂颗粒的典型分布及相应的类型图。     

Approximate wφ - Ωφ Relations in Quintessence Models

Quintessence field is a widely-studied candidate of dark energy. There is ＂tracker solution＂ in quintessence models, in which evolution of the field φ at present times is not sensitive to its initial conditions. When the energy density of dark energy is negleetable （Ωφ 〈〈 1）, evolution of the tracker solution can be well analysed from ＂tracker equation＂. In this paper, we try to study evolution of the quintessence field from ＂full tracker equation＂, which is valid for all spans of Ωφ. We get stable fixed points of we and wφ （noted as wφ and Ωφ） from the ＂full tracker equation＂, i.e., we and ωφ will always approach ωφ and Ωφ respectively. Since wφ and Ωφ are analytic functions of φ, analytic relation of φ can be obtained, which is a good approximation for the we φ relation and can be obtained for the most type of quintessence potentials. By using this approximation, we find that inequalities ωφ 〈 we and 〈ωφ are statisfied if the we （or ωφ） decreases with time. In this way, the potentiai U（φ） can be constrained directly from observations, by no need of solving the equations of motion numerically.     

The simulation of ultrasonic beams with a Gaussian beam equivalent point source model

Point Sources and Gaussian beams are used frequently as fundamental building blocks for developing ultrasonic beam models. Both these models have different weaknesses that limit their effectiveness. Here, we will show that one can develop a Gaussian Beam Equivalent Point Source （GBEPS） model that removes those weaknesses and combines the accuracy and versatility of the point source models with much of the speed and well-behaved nature of Gaussian beam models. We will demonstrate the efficiency and versatility of this new GBEPS model in simulating the beams generated from ultrasonic phased arrays, using as few as one Gaussian beam per element of the array. A single element GBEPS model will be shown to be as accurate as a point source model even when substantial beam focusing or steering is present in the array or where the array beam is transmitted through an interface. At the same time the GBEPS model will be shown to be several orders of magnitude faster than the point source model.     

基于Grbner基方法的交通分配算法

交通规划中的第四阶段交通分配是交通规划中最重要的环节之一,合理的交通分配方法是未来规划期内交通运输系统状态良好的关键,对交通分配模型进行优化有利于交通规划正确高效.经典的交通规划分配模型算法计算复杂,比较次数多,计算量大,而Grbner基方法在计算机上容易实现,计算思路清晰简洁,适合在交通分配中采用.选取了交通分配中的典型算法增量分配法,对其中最短路算法用Grbner基方法改进,构造了基于Grbner基方法的交通分配模型.模型先将交通分配中的最短路问题转化为求多项式集的Grbner基,然后直接得出交通分配中的最短路径,使交通分配算法高效简洁.最后,为算法加以实例佐证,证实算法在工程应用中可行.     

气冷服近体调温性能的数值分析

为了探讨气冷服的近体调温性能,构建了体表-服装几何模型,采用数值模拟的方法研究了平均皮肤温度、内外温差关于进气速度、进气温度及人体散热率的变化关系。结果表明:体表上半部分温度高于下半部分温度;平均皮肤温度与进气速度成幂函数关系,温差与进气速度成对数函数关系;平均皮肤温度及温差关于进气温度成线性关系,进气温度每降低1℃,则平均皮肤温度降低0.39℃,而温差上升0.41℃;平均皮肤温度关于人体散热率成线性变化,散热率每增大5W/m~2,平均皮肤温度升高0.6℃。     

基于后向散射模型的蒸汽湿度测量及仿真

为了更加准确地测量出汽轮机末级蒸汽湿度,为锅炉给水量提供依据,促进汽轮机内部除湿技术的发展,采用了后向角散射法的思路设计了湿蒸汽参数测量模型,并对模型所需物理量进行了详细的计算,为后向散射法测量蒸汽湿度的研究提供参考。通过对模型进行仿真模拟以及实验研究,得到了后向散射光光强数据。通过对比仿真模拟数据与实验数据,验证了该模型的可行性与有效性,对光散射法测量蒸汽湿度的实验分析以及工程实践具有重要意义。