管理委托下的双寡头博弈的复杂动力学分析

在具有指数型逆需求函数的基础上,考虑企业管理者以自身利益最大化为目标函数,建立更符合实际市场环境的古诺动态双寡头博弈模型。通过计算得到系统存在4个均衡点,并利用非线性动力学理论和Jury判据对其进行了局部稳定性分析。通过一维和二维分岔图分析了调整速度、权重系数和边际成本对系统稳定性的影响以及系统在参数变化下的演化过程;并发现了3种间歇混沌现象,结论是其为系统进行自我调节的一种方式;此外,通过吸引盆讨论了系统的多稳态性,得出初始条件的选择会影响系统最终的状态。     

MRI参数对腰椎间盘突出症患者椎间盘退变程度的评估价值及与JOA、VAS评分相关性

选择腰椎间盘突出症(LDH)患者60例,分为轻度退变组、中度退变组、重度退变组.患者均行MRI检查,比较3组的MRI参数,包括髓核(NP)区、纤维环(AF)区T2值.检测比较发现,3组LDH患者NP区、AF区T2值间存在明显差异,且与腰椎功能评分(JOA)呈正相关,与腰部疼痛评分(VAS)呈负相关(P＜0.05).NP...     

进化算法时间复杂度估算的一般流程

进化算法的时间复杂度分析是当前进化计算领域研究的热点难题。通过总结最新进化算法理论研究,介绍了进化算法时间复杂度分析方法,并讨论了分析关键之处:距离函数的确定方法。最后,给出了进化算法时间复杂度分析的一般流程,且以分析范例演示了方法的执行过程。     

并五噻吩分子光谱和激发态的密度泛函理论

首次采用密度泛函理论(DFT)中的B3LYP方法,在6-31G(d)水平上对并五噻吩进行了构型优化,并作振动分析,未出现虚频。频率分析得到分子红外光谱和拉曼光谱,同时也得到分子的HOMO-LUMO能隙为3.86eV,所得计算结果与实验值基本符合。利用含时密度泛函理论(TDDFT)计算其激发态,得到振荡强度最大的五个允许跃迁的单激发态,所有激发态光谱均在紫外波段,故在可见光区域分子相对稳定,不易光致分解。对前线分子轨道HOMO和LUMO分析得到,HOMO到LUMO的跃迁是电子从C原子转移到S原子上,C—C原子之间形成离域键,这正是并五噻吩区别于一般有机材料而具有导电性的根本原因。结果表明:相对于并五苯,并五噻吩具有更高的稳定性,同时具有很好的导电性能和发光性能,是新一类有机半导体材料。     

叶黄素简介

叶黄素属类胡萝卜素,近年研究发现其具有保护视觉、抗氧化、抗癌等作用。本文从叶黄素的结构、性质、来源、生理功效、研究现状及应用前景等方面进行了介绍。     

人类第七大营养素——膳食纤维

膳食纤维被称为人类第七大营养素,本文介绍了膳食纤维的有关化学问题,如其结构特点、理化性质、生理功能和检测方法,以及膳食纤维的应用与开发现状。     

湍流多尺度相干结构间歇性的PIV实验研究

利用粒子成像测速(PIV)系统测量了湍流边界层中流向速度平面,并对湍流多尺度相干结构统计特性进行了实验研究.利用连续子波变换,计算了不同尺度、不同法向位置的子波系数概率密度函数.结果发现缓冲区有着更强的间歇性.利用子波系数量化湍流间歇性的方法,应用推广的自相似律(ESS),计算了子波系数结构函数的标度指数.研究表明:当多尺度相干结构被提取出后,利用子波系数计算的ESS标度律就符合科尔莫戈罗夫提出的线性标度律,验证了多尺度相干结构是湍流边界层产生奇异标度律的原因.此外,利用PIV系统测量的数据,给出了流向平面内的以子波系数表达的能量分布.这种方法有利于进一步对多尺度相干结构在空间平面内的辨识与特性进行研究.     

Preparation and Properties of Electrospun Sheath-core Modified-PMMA Nanofibers with Photoluminescence and Photochromic Functions

Multi-functional nanofibers are playing an important role in the optical field, and are widely used in fluorescence indication, product anti-counterfeit identification and smart clothing. Nanofibers with photoluminescence and photochromic functions are already attracting more interest from researchers. In this work, based on electrospun technology, the modified-PMMA nanofibers[PMMA=poly(methyl methacrylate)] with photoluminescence and photochromic functions were prepared through the design of the sheath-core structure(SCNFs 1-4). Compared with other samples, SCNF-4 shows outstanding photoluminescence and photochromic functions. SCNF-4 can produce green light and its fluorescence intensity and fluorescence lifetime can reach 7144 a.u. and 1031.32 μs, respectively. In photochromic functions, SCNF-4 can show purple in 1 min under the 365 nm ultraviolet light, and the color can be preserved for more than 4 h under the sunlight. When SCNF-4 is irradiated by far infrared light, the color of the samples can fade quickly in 40 s. Under the irradiation of ultraviolet light of different wavelengths, SCNF-4 can display multi-color fluorescence and achieve a reversible transition between white and purple. The design of the sheath-core structure realizes the complementarity of photoluminescence and photochromic functions of the electrospun modified-PMMA nanofibers, which is important to promote the wide application of multi-functional nanofibers in the optical field.     

Age Analysis of Status Updating System with Probabilistic Packet Preemption

The age of information (AoI) metric was proposed to measure the freshness of messages obtained at the terminal node of a status updating system. In this paper, the AoI of a discrete time status updating system with probabilistic packet preemption is investigated by analyzing the steady state of a three-dimensional discrete stochastic process. We assume that the queue used in the system is Ber/Geo/1/2*/η, which represents that the system size is 2 and the packet in the buffer can be preempted by a fresher packet with probability η. Instead of considering the system’s AoI separately, we use a three-dimensional state vector (n,m,l) to simultaneously track the real-time changes of the AoI, the age of a packet in the server, and the age of a packet waiting in the buffer. We give the explicit expression of the system’s average AoI and show that the average AoI of the system without packet preemption is obtained by letting η=0. When η is set to 1, the mean of the AoI of the system with a Ber/Geo/1/2* queue is obtained as well. Combining the results we have obtained and comparing them with corresponding average continuous AoIs, we propose a possible relationship between the average discrete AoI with the Ber/Geo/1/c queue and the average continuous AoI with the M/M/1/c queue. For each of two extreme cases where η=0 and η=1, we also determine the stationary distribution of AoI using the probability generation function (PGF) method. The relations between the average AoI and the packet preemption probability η, as well as the AoI’s distribution curves in two extreme cases, are illustrated by numerical simulations. Notice that the probabilistic packet preemption may occur, for example, in an energy harvest (EH) node of a wireless sensor network, where the packet in the buffer can be replaced only when the node collects enough energy. In particular, to exhibit the usefulness of our idea and methods and highlight the merits of considering discrete time systems, in this paper, we provide detailed discussions showing how the results about continuous AoI are derived by analyzing the corresponding discrete time system and how the discrete age analysis is generalized to the system with multiple sources. In terms of packet service process, we also propose an idea to analyze the AoI of a system when the service time distribution is arbitrary.     

具有高阶传播准则的对称布尔函数的直接确定

在密码学的应用中,布尔函数的传播准则和对称性是非常重要的性质.Preneel等率先提出高阶传播准则.作者用一个新的非常有趣的组合方法,给出一个对所有对称且具有二阶或二阶以上传播准则的布尔函数的直接确定,当函数一旦对称时,此法很可能有效.