In this paper, a novel temperature-dependent multi-scale method is developed to investigate the role of temperature on surface effects in the analysis of nano-scale materials. In order to evaluate the temperature effect in the micro-scale (atomic) level, the temperature related Cauchy-Born hypothesis is implemented by employing the Helmholtz free energy, as the energy density of equivalent cont...

Numerous studies have investigated economies of scale and scope in higher education as a means of providing public and private providers of college and university teaching and research and their stakeholders with knowledge of the cost structures that underpin provision in this economically and socially important sector. However, debate continues on the precise nature of these economies of scale...

A new regression-based approach is proposed for modeling marketing the analysis, the functional form of the effect of each independent variable, and the appropriate transformation for the dedatabases. The approach is Bayesian and provides a number of significant pendent variable. improvements over current methods. Independent variables can enter into This article introduces a highly flexible Ba...

When there are several replicates available at each level combination of two factors, testing non-additivity can be done by the usual two-way ANOVA method. However, the ANOVA method cannot be used when the experiment is unreplicated (one observation per cell of the two-way classification). Several tests have been developed to address non-additivity in unreplicated experiments starting with Tuke...

The present work demonstrates the connections between Burgers, diffusion, and Schroedinger's equations. starting point is a formulation of stochastic mechanics, which modeled along lines scale relativity theory. resulting statistical description obeys Fokker-Planck equation. This paper further connection two approaches, embodied by study Burgers equation, from this perspective appears as geodes...

Using an increasing returns specification for distribution, an inverted-U pattern between the share of distribution in GDP and the level of development is shown to arise. A cross-section time series data set is constructed and merged with one used to analyze the service sector. In contrast to the rising pattern found for services, an average time series relation that exhibits an inverted-U patt...