This thesis deals with questions relating to the maximum density of rank-n matroids in a minor-closed class. Consider a minor-closed class M of matroids that does not contain a given rank-2 uniform matroid. The growth rate function is defined by hM(n) = max (|M | : M ∈M simple, r(M) ≤ n) . The Growth Rate Theorem, due to Geelen, Kabell, Kung, and Whittle, shows that the growth rate function is ...

International Journal of General Systems Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713642931 Linear quadratic Nash game-based tracker for multiparameter singularly perturbed sampled-data systems: digital redesign approach Jason Sheng-Hong Tsai a; Zi-Yi Yang a; Shu-Mei Guo b; Leang-San Shieh c; Chia-Wei C...

A multi-agent simulation is used to explore the relationship between the micro and the macro levels in small-scale societies. The simulation demonstrates, using an African hunter-gatherer group (the !Kung san) as a case study, the way in which population stability may arise from culturally framed, micro-level decision making by women about spacing of births. According to the simulation, populat...

Shun-Cheng Wu,* Hsu-Feng Hsiao,* Mei-Ling Ho, Yung-Li Hung, Je-Ken Chang, Gwo-Jaw Wang, and Chau-Zen Wang Graduate Institute of Medicine, College of Medicine, Kaohsiung Medical University, Kaohsiung, Taiwan; Department of Physiology, College of Medicine, Kaohsiung Medical University, Kaohsiung, Taiwan; Orthopaedic Research Center, College of Medicine, Kaohsiung Medical University, Kaohsiung, Ta...

We study two bases of the vector space of immanants of C[x1,1, . . . , xn,n]: the bitableaux basis of Désarménien-Kung-Rota, and a subset of the dual canonical basis called the basis of Kazhdan-Lusztig immanants. We show that the transition matrix between these bases is unitriangular, describe new vanishing results for the Kazhdan-Lusztig immanants, and relate both bases to other immanants defi...