We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the generalization to higher dimensions and the inclusion of a cosmological constant. The classical proof of uniqueness of static vacuum black holes [3] assumes that all components of the event horizon are non-degenerate. The...

The PCR-amplification of unknown homologous or paralogous genes generally relies on PCR primers predicted from multi sequence alignments. But increasing sequence divergence can induce the need to use degenerate primers which entails the problem of testing the characteristics, unwanted interactions and potential mispriming of degenerate primers. Here I introduce easyPAC, a new software for the p...

The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for orthogonal and symplectic quantum groups and Lie algebras, respectively. Cyclotomic BMW algebras, affine and cyclotomic Hecke algebras, and their degenerate versions are quotients. In this paper we explain how the affine and degenerate affine BMW algebras are tantalizer...

Low back pain is a common and debilitating disorder. Current evidence implicates intervertebral disc (IVD) degeneration and herniation as major causes, although the pathogenesis is poorly understood. While several cytokines have been implicated in the process of IVD degeneration and herniation, investigations have predominately focused on Interleukin 1 (IL-1) and tumor necrosis factor alpha (TN...

As shown by Ashtekar in the mid 80’s, general relativity can be extended to incorporate degenerate metrics. This extension is not unique, however, as one can change the form of the hamiltonian constraints and obtain an alternative degenerate extension of general relativity that disagrees with Ashtekar’s original theory when the triads vectors are degenerate. In this paper, the constraint algebr...

Innervation of nociceptive nerve fibres into the normally aneural nucleus pulposus (NP) of the intervertebral disc (IVD) occurs during degeneration resulting in discogenic back pain. The neurotrophins nerve growth factor (NGF) and brain-derived neurotrophic factor (BDNF), which are associated with stimulation of axonal outgrowth and nociception by neuronal cells, are both expressed by NP cells,...

almonds are self incompatible, the incompatibility being controlled by a multi allelic (s-alleles) single gene. the incompatibility alleles were studied in 96 samples of wild almonds and related prunus species from 10 taxonomic groups. polymerase chain reactions were carried out with six primer sets including: three degenerate primer pairs (paconsi-f(fam)/em-pc1consrd, paconsi-f(fam)/em-pc3cons...

Dowling showed that the Whitney numbers of first kind and second satisfy Stirling number-like relations. Recently, Kim-Kim introduced degenerate r-Whitney kind, as versions further generalizations both kinds. The normal ordering an integral power number operator in terms boson operators is expressed with help kind. In this paper, it noted a certain quantity involving We derive some properties, ...