Improved Sobolev Embedding Theorems for Vector-valued Functions

The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with the three-dimensional massless Dirac operator together with the three- or two-dimensional Weyl--Dirac (or Pauli) operator, the Cauchy--Riemann operator and also the four-dimensional Euclidian Dirac operator.Comment: 40 pages. To appear in Funkcialaj Ekvacioj 57 (2014

Network flow of mobile agents enhances the evolution of cooperation

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff difference with neighbors or it moves to another empty node if not satisfied with its own payoff. If no neighboring node is empty, each agent stays at the same site. By extensive evolutionary simulations, we show that the medium density of agents enhances cooperation where the network flow of mobile agents is also medium. Moreover, if the movements of agents are more frequent than the strategy updating, cooperation is further promoted. In scale-free networks, the optimal density for cooperation is lower than other networks because agents get stuck at hubs. Our study suggests that keeping a smooth network flow is significant for the persistence of cooperation in ever-changing societies.Comment: 7 pages, 5 figure

Current Condition of the Japanese Construction Market, Contract Management, and Construction Management Education in Three ASEAN Universities

This paper reports on a basic study on the current condition of the Japanese construction market, the third largest market in the world, and contract management in Japan. It also deals with the current condition of construction management education, which is the basis for contract management in Japan and three ASEAN countries namely, Indonesia, Singapore, and Thailand. The Japanese construction market is introduced in terms of its scale and overseas expansion of leading Japanese construction companies. The characteristics of the Japanese construction market and a survey on Japanese construction management education are introduced. The curriculums of construction management education in three ASEAN universities are surveyed. Finally, by comparing the three ASEAN universities and Japan horizontally and internationally, the current condition of construction management education in civil engineering is obtained. The outcome deepens understanding of access to each construction market and can be the first step toward construction business collaboration between Japanese and some ASEAN countries