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...

Tuberculosis is one of most ancient diseases affecting human populations. Although numerous studies have tried to detect pathogenic DNA in ancient skeletons, the successful identification of ancient tuberculosis strains remains rare. Here, we describe a study of 140 ancient subjects inhumed in Yakutia (Eastern Siberia) during a tuberculosis outbreak, dating from the 16(th)-19(th) century. For a...

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...

Emerging Infectious Diseases • www.cdc.gov/eid • Vol. 12, No. 10, October 2006 1617 Leishmania DNA–positive samples in the Nubian mummies (12.9%) suggests that leishmaniasis was endemic in Nubia during the Early Christian period and, in light of the data on the ancient Egyptian mummies, probably already several thousand years before. Taken together, our results support the theory that Sudan cou...

From Ötzi, the Tyrolean Iceman, to the royal mummies of pharaohs Akhenaten and Tutankhamun, genetic and genomic analyses of ancient deoxyribonucleic acid have shed light on the social and environmental influences on life and longevity, population dynamics, migratory patterns, dietary habits, putative and actual causes of death, and the susceptibility to congenital and acquired diseases during l...

Andrology has a long history in traditional Chinese medicine (TCM) discussions concerning andropathies, and documentation of relevant therapeutic methods abound in the ancient literature on TCM. Integrated treatment combining TCM and Western medicine has seen both broad and in-depth development, with formidable status in the field of modern andrology in China. This article attempts to demonstra...