Multivariate Padé approximants to a meromorphic function
We explicitly construct the general multivariate Pade approximants to the function G q (x,y) ≔ ∑ j=1 ∞ 1 xy+q j x+q 2j , |q|>1, q∈ C by using the residue theorem and the functional equation method. Then we prove some convergence properties of the approximants.

title: Explicit Construction of Multivariate Padé Approximants for a q-Logarithm Function
abstract: We explicitly construct the non-homogeneous multivariate Pade approximants to a two variable version of the q-logarithm functionL"q(x, y)@[email protected]?i, j=0~(q-1)x^iy^jq^i^+^j^+^1-1, for |q|>1 and |x|, |y|<|q|, by using the residue theorem and functional equation method.

title: On the finite sum representations of the Lauricella functions FD
abstract: By using divided differences, we derive two different ways of representing the Lauricella function of n variables FD(n)(a,b1,b2,. . .,bn;c;x1,x2,. . .,xn) as a finite sum, for b1,b2,. . .,bn positive integers, and a,c both positive integers or both positive rational numbers with c−a a positive integer.

title: Available bit rate (ABR) source control and delay estimation
abstract: The problem of regulating the transmission rate of an available bit rate (ABR) traffic source in an ATM network is examined. Of particular interest is linear quadratic (LQ) rate regulation based on estimates of the round-trip propagation delay. The round-trip delay is estimated using a nonlinear least mean square (NLMS) algorithm. Simulation results are used to demonstrate the method.

title: A Speaker Verification System Based on EMD
abstract: Most of the speech utterance feature extraction methods are based on the assumptions: utterance signal is short-term stable and independent between each other adjacent frames. This approach ignores the dynamic characteristics of speech signal. For the time-varying characteristics of the speech utterance, we propose a new feature extraction method based on empirical mode decomposition EMD. We can extract the LPCC feature parameters from different stages of IMFs which are decomposed by EMD process. A speaker verification system based on EMD is proposed and it is shown that it is better performance than the one with traditional LPCC features based on short-term process.

title: The citation impacts and citation environments of Chinese journals in mathematics
abstract: Based on the citation data of journals covered by the China Scientific and Technical Papers and Citations Database (CSTPCD), we obtained aggregated journal-journal citation environments by applying routines developed specifically for this purpose. Local citation impact of journals is defined as the share of the total citations in a local citation environment, which is expressed as a ratio and can be visualized by the size of the nodes. The vertical size of the nodes varies proportionally to a journal’s total citation share, while the horizontal size of the nodes is used to provide citation information after correction for the within-journal (self-) citations. In the “citing” environment, the equivalent of the local citation performance can also be considered as a citation activity index. Using the “citing” patterns as variables one is able to map how the relevant journal environments are perceived by the collective of authors of a journal, while the “cited” environment reflects the impact of journals in a local environment. In this study, we analyze citation impacts of three Chinese journals in mathematics and compare local citation impacts with impact factors. Local citation impacts reflect a journal’s status and function better than (global) impact factors. We also found that authors in Chinese journals prefer international instead of domestic ones as sources for their citations.

title: Asymptotic Capacity of Infrastructure Wireless Mesh Networks
abstract: An infrastructure wireless mesh network (WMN) is a hierarchical network consisting of mesh clients, mesh routers and gateways. Mesh routers constitute a wireless mesh backbone, to which mesh clients are connected as a star topology, and gateways are chosen among mesh routers providing Internet access. In this paper, the throughput capacity of infrastructure WMNs is studied. For such a network with Nc randomly distributed mesh clients, Nr regularly placed mesh routers and Ng gateways, assuming that each mesh router can transmit at W bits/s, the per-client throughput capacity has been derived as a function of Nc , Nr , Ng and W . The result illustrates that, in order to achieve high capacity performance, the number of mesh routers and the number of gateways must be properly chosen. It also reveals that an infrastructure WMN can achieve the same asymptotic throughput capacity as that of a hybrid ad hoc network by choosing only a small number of mesh routers as gateways. This property makes WMNs a very promising solution for future wireless networking.