Single-Server Queues with Markov-Modulated Arrivals and Service Speed

This paper considers single-server queues with several customer classes. Arrivals of customers are governed by the underlying continuous-time Markov chain with finite states. The distribution of the amount of work brought into the system on arrival is assumed to be general, which may differ with different classes. Further, the service speed depends on the state of the underlying Markov chain. We first show that given such a queue, we can construct the corresponding new queue with constant service speed by means of a change of time scale, and the time-average quantities of interest in the original queue are given in terms of those in the new queue. Next we characterize the joint distribution of the length of a busy period and the number of customers served during the busy period in the original queue. Finally, assuming the FIFO service discipline, we derive the Laplace–Stieltjes transform of the actual waiting time distribution in the original queue.     

利用二次型判别多元函数的极值

利用二次型的正定性和负定性讨论多元函数的极值判别法并应用到二元函数上．     

多复变数的一阶微分从属

本讨论了多复变函中的一阶微分从属,取得了一些结果,这些结果在单叶函数或映照中有一定的应用。     

Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem

The aim of this article is to extend the theory of several complex variables to the non-commutative realm. Some basic results, such as the Bochner-Martinelli formula, the existence theorem of the solutions to the non-homogeneous Cauchy-Riemann equations, and the Hartogs theorem, are generalized from complex analysis in several variables to Clifford analysis in several paravector variables. In particular, the Bochner-Martinelli formula in several paravector variables unifies the corresponding formulas in the theory of one complex variable, several complex variables, and several quaternionic variables with suitable modifications.     

测度链上具有多时滞的非线性中立型泛函微分方程的振动性

考虑测度链上多时滞中立型泛函微分方程（x（t）-p（t）x（t-τ））Δ＋∑mi=1qi（t）fi（x（t-σi））=0,其中p（t）,qi（t）∈（Crd）（[t0,∞）,R＋）,获得了该方程所有解振动的充分条件.     

共同侵权之“共同”的认定标准

我国《侵权责任法》第8条对共同侵权的共同标准仅做了抽象性的规定,鉴于理论上各种共同标准存在的缺陷,笔者认为将意思联络说作为共同侵权的共同标准能最大程度地体现责任原则和公平价值。与此同时,由于连带责任与共同侵权二者并非必然联系,对无意思联络数人侵权在符合自己责任原则的情况下,使行为人承担连带责任也利于保护受害人利益。     

多元函数中值定理的推广及应用

我们将一元函数的Rolle中值定理与Lagrange中值定理推广到二元函数及多元函数中,并给出了他们的一些应用,与原来的多元函数的中值定理相比,它们具有更直观的几何意义。     

大尺度上藓类植物嵌套分布格局及其保护策略——基于中国东部自然保护区和国家森林公园数据的分析

在大的空间尺度上,研究了我国苔藓植物多样性的地理分布格局,系统地收集了1 534种藓类植物在我国中东部地区80个自然保护区和国家森林公园分布的数据,分析了中国藓类植物主要类群在80个地理单元物种分布的嵌套水平和多样性保护的SLOSS（single large or several small）策略.研究发现,藓类、侧蒴藓类、顶蒴藓类、金发藓类-烟杆藓类、泥炭藓科（Spagnaceae）、丛藓科（Pottiaceae）、青藓科（Brachytheciaceae）、木灵藓科（Orthotrichaceae）、曲尾藓科（Dicranaceae）和真藓科（Bryaceae）存在明显的嵌套分布现象.不同地区之间的藓类植物,以贵州境内保护区的藓类植物嵌套分布程度最高,浙江和两广地区的为最低.无论从科还是从属和种的水平上,在面积相近的情况下,均倾向于建立一个大的自然保护区（SL）策略,特别是对于木灵藓科、金灰藓科（Pylaisiaceae）、曲尾藓科、泥炭藓科、提灯藓科.对生境专一性强的种类越多的藓类群,越倾向于SL策略.就不同的地理区域来讲,在浙江境内建立自然保护区,更倾向于建立多个小的保护区（SS）策略,在贵州境内更倾向于SL策略.     

The star function for meromorphic functions of several complex variables

We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f. We then characterize meromorphic functions admitting a harmonic star function.     

Multidimensional conjugation operators and deformations of the classesZ(ω (2);C(T m ))

The smoothness of conjugate functions of several variables is studied in terms of the second moduli of smoothness. It is proved that in a sufficiently general case the invariance of the classes considered is violated in just the same way as for classes specified by moduli of continuity.Translated fromMatematicheskie Zametki, Vol. 63, No. 6, pp. 853–861, June, 1998.