In this article we introduce the rotations package which provides users with the ability to simulate, analyze and visualize three-dimensional rotation data. More specifically it includes four commonly used distributions from which to simulate data, four estimators of the central orientation, six confidence region estimation procedures and two approaches to visualizing rotation data. All of thes...

We construct a supersymmetric SO(10) model, where the DimopoulousWilczek mechanism for doublet-triplet splitting is stable under the addition of Higgs superfields belonging to 126 + 126 needed to implement the see-saw mechanism for neutrino masses and where the charged fermion and neutrino mass spectra arise from a single set of 10 and 126 Higgs representations. Work supported in part by a gran...

The hypoxia-inducible factor-1 (HIF-1) is the master regulator of the cellular response to hypoxia and its expression levels are tightly controlled through synthesis and degradation. It is widely accepted that HIF-1alpha protein accumulation during hypoxia results from inhibition of its oxygen-dependent degradation by the von Hippel Lindau protein (pVHL) pathway. However, recent data describe n...

The defining relations (triple relations) of n pairs of parafermion operators f j (j = 1, . . . , n) are known to coincide with a set of defining relations for the Lie algebra so(2n+ 1) in terms of 2n generators. With the common Hermiticity conditions, this means that the “parafermions of order p” correspond to a finite-dimensional unitary irreducible representationW (p) of so(2n+1), with highe...