On the Tau-Cycle Condition

AbstractThere is a set of equivalence conditions for the orthonormality of the compactly supported scaling functions. Among them, there is the Cohen's τ-cycle condition. In order to answer the question whether it is enough to check this condition by a finite number of points, we study the τ-cycles in more detail

Is Per Capita Real GDP Stationary? Evidence from Selected African Countries Based on More Powerful Nonlinear (Logistic) Unit Root Tests

In this study we use a more powerful nonlinear (logistic) unit root test advanced by Leybourne et al. (1998) to investigate the time-series propertities of per capita real GDP for 26 selected African countries for the period 1960-2000. We strongly reject the null of unit root process for over one-third the countries. These empirical results have important policy implications for selected African countries.

Theoretical calculations of kinetic isotope effects

Treating the activated complex for unimolecular dissociation as uncoupled fragments simplifies the calculation of transition-state frequencies in the quasi-equilibrium-theory formulation of an isotopic rate-constant ratio. The general method is applied to the specific case of the intramolecular kinetic isotope effect in decarboxylation of malonic acid. The fragment models are further simplified by means of the “cut-off” approximation of Sterm and Wolfsberg. These model calculations are in agreement with the presently available experimental results. Applicability to reactions involving simultaneous multiple bond rupture or formation is noted

Service Alliance in Competition: A Game Theory Perspective

This research focuses on services based on alliance and devises a novel concept called service alliance. Service alliance uses service as the unit that companies can exchange, furnish, and share services in the alliance. Service alliance emphasizes on the representation and exchange for value of single service from an individual company. This research utilizes game theory to discuss the best action of service alliance in competition. We use airline industry as the example and expect to contribute to any service industry. The results show that four strategies are similar to the process from competition to cooperation. The best case is that the members in the alliance co-fund a new service team to serve all members. We hope the proposed concept can be applied to all service industry and create a new operation model for alliance