We consider the problem of determining if two finite groups are isomorphic. The groups are assumed to be represented by their multiplication tables. We present an O(n) algorithm that determines if two Abelian groups with n elements each are isomorphic. This improves upon the previous upper bound of O(n log n) [23] known for this problem. We solve a more general problem of computing the orders o...

The origins of Western culture extensively relate to Ancient Greek culture. While many ancient cultures have contributed to our current knowledge about medicine and the origins of psychiatry, the Ancient Greeks were among the best observers of feelings and moods patients expressed towards medicine and toward what today is referred to as 'psychopathology'. Myths and religious references were use...

One of the grand goals of historical biogeography is to understand how and why species' population sizes and distributions change over time. Multiple types of data drawn from disparate fields, combined into a single modelling framework, are necessary to document changes in a species's demography and distribution, and to determine the drivers responsible for change. Yet truly integrated approach...

This chapter proposes an analytic approach for the study of ICTs in contentious politics and human rights advocacy. By applying the analytical frames of contingency and hybridity to study design, this approach aims to promote empirical analyses, strengthen data comparability, and improve understanding into how human rights activists strategically combine digital and grounded communications to r...

With the great advances in ancient DNA extraction, genetic data are now obtained from geographically separated individuals from both present and past. However, population genetics theory about the joint effect of space and time has not been thoroughly studied. Based on the classical stepping-stone model, we develop the theory of Isolation by distance and time. We derive the correlation of allel...

Previous research on multiplicative reasoning has shown that for whole numbers, understanding of division is intimately linked to multiplication, as retrieval of division facts is often accomplished through reverse multiplication. We recently extended this research to rational numbers, and found that inverse multiplication problems can serve as primes for one another (e.g., a × b/a = a primes b...