objective: this article presents an application of cluster analysis for social sciences researches especially those studies that have an interview as part of their data collection. this application is more suitable for sequential mixed method researchers who use quantitative data to frame subsequent qualitative subsamples for conducting interviews.  methods: in more detail, the algorithm (i.e.,...

The Deficiency One Theorem tells us about certain chemical reaction systems that they cannot admit multiple interior equilibria. The theorem was proven by Feinberg. In this paper we provide a relatively short proof of that theorem for the special case of one linkage class. We also extend that result by giving an equivalent condition to the fact that the set of interior equilibria is nonempty fo...

In the election of a hierarchical clustering method, theoretic properties may give some insight to determine which method is the most suitable to treat a clustering problem. Herein, we study some basic properties of two hierarchical clustering methods: α-unchaining single linkage or SL(α) and a modified version of this one, SL∗(α). We compare the results with the properties satisfied by the cla...

This paper presents a synthesis procedure for a spatial 4R linkage, known as Bennett’s linkage. It is known that the two solutions of the RR chain synthesis equations form a Bennett linkage. While analytical solutions to these equations have been developed previously, this paper uses the cylindroid that is known to exist for a Bennett linkage to simplify the solution process. It is interesting ...

Characterisation of linkage disequilibrium and subsequent estimation of effective population size in Thoroughbred horses using single nucleotide polymorphism markers L J Corbin, S C Bishop, J E Swinburne, M Vaudin, S C Blott, J A Woolliams The Roslin Institute and Royal (Dick) School of Veterinary Studies, University of Edinburgh, Edinburgh, United Kingdom, Animal Health Trust, Newmarket, Unite...