We use rigorous numerical techniques to compute a lower bound for the exponent of expansivity outside a neighborhood of the critical point for thousands of intervals of parameter values in the quadratic family. We first compute a radius of the critical neighborhood outside which the map is uniformly expanding. This radius is taken as small as possible, yet large enough for our numerical procedu...

Previously, Tanskanen and Pohjola (2000) and Tanskanen and Malinen (2005) have presented a method of rigorous minimum energy calculation for non-ideal multicomponent distillation. The method is based on column simulation with a large number of equilibrium stages to mimic infinitely high columns, and it has been successfully tested with simple distillation column systems. This paper describes a ...

In this paper we study free vibrations of stepped structures, specifically for longitudinal bars and flexural rectangular plates, providing two versions the Galerkin method. Specifically, first apply straightforward version method which stipulates employment procedure to be conducted in each subdomain, or step, structure. Second, rigorous realization is presented where structural parameters, li...

A sign&ant advance in the study of animal viruses was marked by the work of Schwerdt and Schaffer (l), who first obtamed purified poliovirus in quantities sufficient to permit rigorous chemical and physical characterization. Their procedure, however, required large volumes of starting material, and was both lengthy and laborious. The development of suspension culture techniques (2) has provided...

Merging data from multiple studies has been widely adopted in biomedical research. In this paper, we consider two major issues related to merging longitudinal datasets. We first develop a rigorous hypothesis testing procedure to assess the validity of data merging, and then propose a flexible joint estimation procedure that enables us to analyse merged data and to account for different within-s...