Clusters of computers can be used together to provide a powerful computing resource. This paper presents a con gurable system capable of modelling a variety of particle growth mechanisms. Large Monte Carlo simulations, such as those used to model particle growth, are computationally intensive and take a considerable time to execute on conventional workstations. The repetitive nature of Monte Ca...

Manumission, the freeing of a slave from bondage, has served as a powerful incentive for slaves throughout history. It was common enough in ancient times that economic historians have gone as far as to describe the Roman labor system as a functioning labor market: manumission was common enough that it encouraged slaves to work cooperatively with their owners. This paper develops a simple contra...

Electronic cam motion involves velocity tracking control of the master motor and trajectory generation of the slave motor. Special concerns such as the limits of the velocity, acceleration, and jerk are beyond the considerations in the conventional electronic cam motion control. This study proposes the curve-fitting of a Lagrange polynomial to the cam profile, based on trajectory optimization b...

We model long distance historical trade through intermediaries (couriers). Assuming contracts cannot be enforced and the courier can abscond, we characterize optimal trade schemes. The courier makes many but finite return trips, being entrusted with bundles of ever-increasing value, the last of which they keep for themselves. We are consistent with evidence including: (i) finite trade schemes t...