基于可替换路径对的多用户均衡交通分配算法

针对多用户均衡交通分配问题，依据多用户均衡条件，给出了该问题的变分不等式模型和间隙函数。利用可替换路径对的概念，设计了基于可替换路径对的多用户均衡交通分配算法。在大规模交通网络上，对比分析了提出的交通分配算法、外梯度算法、基于用户的对角化算法和基于起点的对角化算法等的性能。数值结果表明，提出的基于可替换路径对的交通分配算法在求解精度、算法效率以及稳定性等方面都显著优于其他算法。     

另类元素周期表

为帮助学生理解元素排列规律,综述了长式、螺旋式和三维式元素周期表,讨论了各自的优缺点和辅助教学作用.介绍的周期表在提高学生学习兴趣,开阔学生眼界,培养学生创造性思维和想象力等方面有重要的参考价值.     

GLP-1R agonists therapy for type 2 diabetes

Glucagon-like peptide-1 receptor （GLP-1R） agonists are widely used for treating type 2 diabetes mellitus （T2DM） be- cause of their glucose-lowering and weight-losing effects, and low risk of hypoglycemia. Hence, there is considerable interest in understanding the mechanism underlying the beneficial effects of GLP-I and developing stable and effective GLP-1R agonists. Here, we summarize the presently known mechanism of GLP-I actions, which are mainly through regulating cAMP-PKA signaling pathway; the latest developments in novel clinical GLP-1R agonists are also introduced, which are characterized with multiple properties, such as extended half-life, reduced side-effects, lower production costs and more convenient drug dosing mode. The potential risk of GLP-I-based therapeutics, an often-ignored fact, is also discussed.     

模糊模式识别中隶属函数选取的探讨

通过数值实例,论证了利用最大隶属度原则对三角形类型模糊模式识别时隶属函数选取的优越性,并提出了一种给定阈值且以三角形内角和差关系作为底数变量和指数变量的指数型隶属函数.     

Ho∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system (NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller (S/C) and from controller to actuator (C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

新派烟台方言单字调的实验语音研究

相对于传统耳听手记的声调研究方法,实验语音学的方法使得声调研究结果更加客观化.烟台方言可以分为老派和新派方言,它们的单字调声调在某种程度上存在着不同.就目前来讲,对新派烟台方言研究相对较少,尤其是实验的方法,几乎还是空白.应用现代实验语音学的方法,侧重整个实验过程和实验数据,测算出新派烟台方言单字调调类最终分为三类,调类与调值分别为：乎声44,上声313,去声42.由于这一结果与传统烟台方言单字调调值有较大差异,故本文对新派烟台方言单字调与传统烟台方言研究结果及普通话也进行了比较,并在此基础上分析了新派烟台方言单字调调值可能演变的原因.新调值还有可能对烟台方言两字组及三字组连读变调模式产生影响.     

古典概型问题的数学模型

在古典概型问题中引入了n次随机试验,n维样本点,n维随机事件和n维样本空间等概念,对解决古典概型的应用问题提供了相应的数学模型.     

H_∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system(NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller(S/C) and from controller to actuator(C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

双端热透镜Z型固体激光腔图解分析

采用传播圆图解方法研究了具有双端热透镜的Z型折叠固体激光腔的工作特性,得到了谐振腔各腔臂中的光模参数bt1,bt2,b2及光斑尺寸wt1,wt2,w2随激光介质的热动力参数1/ft1及1/ft2的变化关系;结果表明通过合理选择参数可对腔的热稳定范围及基模光斑尺进行调控,其关键参数是对称的第1、3臂的长度l01 f1(或l02 f2),其值越小,腔的热稳定区越宽,同时激光晶体处的基模光斑越小.第2臂中的参数δ对热稳区宽度没有明显影响,但δ值越大,对应的光斑半径wt1及wt2也越大.     

一类模式演化方程的全局吸引子及其维数估计

研究了一类源自模式演化问题的非线性发展方程所产生的动力系统,并考虑了其全局吸引子的存在性及维数估计问题.这类模式演化方程与化学反应和火焰燃烧有密切关系,因此具有重要的物理背景,而且因为它含有关于空间变量的四阶微分算子,还具有重要的理论价值.借助插值不等式以及sobolev嵌入定理,可以进行一系列精细的估计,最终根据一个经典的结果,证明了在维数不超过三维的空间中的有界集合上,系统的全局吸引子存在.进一步应用Sobolev-Lieb-Thirring不等式进行估计,可以得到全局吸引子的分形维数的界.