等效道路线声源位置优化研究

计算道路交通噪声时,一般将每个车道等效为1个线声源。有时,为了简化计算,将道路等效为1个线声源,等效线声源位置为道路中轴;或等效为2个线声源,等效线声源位置为道路两侧中心线或两侧最外车道中心线。推导不同等效方法下观测点噪声的计算公式,并探讨不同等效方法引起的误差。研究结果表明,将道路等效为2个线声源,等效线声源位置为道路两侧中心线的简化方法引起的误差最小。     

红外成像系统NETD参数测试算法及应用研究

噪声等效温差(NETD)是表征红外成像系统灵敏度的关键参数,也是评估红外成像系统性能的重要参数之一,应用广泛。通过对红外成像系统3D噪声、信号传递函数(SiTF)、NETD等参数测试方法、算法和流程研究,给出一种基于视频文件的3D噪声离线对比测试方法和一种SiTF线性区自动判断计算斜率算法,在此基础上针对某型技术保障装备国产化光电检测平台开发了配套应用软件功能模块。实现了通过计算单位均方根噪声所对应的SiTF斜率值,分析得出系统NETD参数值的功能。以某型热像仪为被测对象,开展了测试结果重复性和一致性试验,并与美国Optikos公司I-SITE红外整机测试系统进行了对比测试。实验结果表明开发的NETD参数测试功能模块测试精度和重复性满足设计要求,具有较高实用价值,已进行了工程应用。     

Central configurations of the collinear three-body problem and singular surfaces in the mass space

This Letter is to provide a new approach to study the phenomena of degeneracy of the number of the collinear central configurations under geometric equivalence. A direct and simple explicit parametric expression of the singular surface H₃ is constructed in the mass space (m₁,m₂,m₃)∈³(R⁺). The construction of H₃ is from an inverse respective, that is, by specifying positions for the bodies and then determining the masses that are possible to yield a central configuration. It reveals the relationship between the phenomena of degeneracy and the inverse problem of central configurations. We prove that the number of central configurations is decreased to 3!/2−1=2, m₁, m₂, and m₃ are mutually distinct if m∈H₃. Moreover, we know not only the number of central configurations but also what the nonequivalent central configurations are.     

Equivalence of Differential System

Using reflecting function of Mironenko we construct some differential systems which are equivalentto the given differential system.This gives us an opportunity to find out the monodromic matrix of these periodicsystems which are not integrable in finite terms.     

自旋因式化法推求同科电子组态原子光谱项

以同科电子i3组态光谱项推求为例,提出了用自旋因式化方法推求同科电子光谱项的一般方法.该法较为简单、适用,易于推广,可求出任一基态或激发态原子或离子光谱项.     

基于C语言的等效电子耦合原子态的编程计算

详述了用turboc2.0编程计算等效电子LS耦合原子态的方法,并给出了计算nf5电子组态的LS耦合原子态的具体程序.     

On hedging in finite security markets

A market is considered where trading can take place only at discrete time points, the trading frequency cannot grow without bound, and the number of states of nature is finite. The main objectives of the paper are to show that the market can be completed also with highly correlated risky assets, and to describe an efficient algorithm to compute a self-financing hedging strategy. The algorithm consists off-line of a backwards recursion and on-line of the solution, in each period, of a system of linear equations; it is a consequence of a proof where, using a well-known mathematical property, it is shown that uniqueness of the martingale measure implies completeness also in our setting. The significance of ‘multistate’ models versus the familiar binomial model is discussed and it is shown how the evolution of prices of the (correlated) risky assets can be chosen so that a given probability measure is already the unique equivalent martingale measure.     

Four equivalent lot-sizing models

We study the following lot-sizing models that recently appeared in the literature: a lot-sizing model with a remanufacturing option, a lot-sizing model with production time windows, and a lot-sizing model with cumulative capacities. We show the equivalence of these models with a classical model: the lot-sizing model with inventory bounds.