We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure. These invariants coincide with the classical Yang-Baxter cocycle invariants for classical knots but provide extra information about virtual knots and links. In particular, they provide a method for detecting non-c...

Min Yang is a post-doctoral research fellow at the Centre for Advancement of University Teaching, University of Hong Kong. This paper was written while she was working with the Educational Development Centre of the Hong Kong Polytechnic University. This paper derives from her PhD research completed in July 2005 at Nottingham Trent University, UK. Address for correspondence: Dr Min Yang, Educati...

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mills action gives rise to classical particlelike solutions prohibited in the standard Yang-Mills theory. This becomes possible due to breaking of the scale invariance by the Born-Infeld nonlinearity. New classical glueballs, which are of a sphaleronic nature, exhibit a striking similarity to the Bartnik-McKinnon solutions...

We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU(2) Yang-Mills field. We prove that the only black-hole solutions of the corresponding Einstein-Dirac-Yang/Mills equations are the Bartnik-McKinnon black-hole solutions of the SU(2) Einstein-Yang/Mills equations; thus the spinors must vanish identically. This indicates that the Dirac partic...

The objective function of CICF, with the non-negative constraints on V and E, is a special case of Non-negative Matrix Factorization (NMF) (Lee & Seung, 1999; Recht et al., 2012; Seung & Lee, 2001; Yang et al., 2012), and can be solved by a multiplicative update approach (Seung & Lee, 2001; Yang & Oja, 2010). However, this approach suffers from the fluctuation problem in convergence (Yang & Oja...

The problem of Wu-Yang ambiguities in 3 dimensions is related to the problem of existence of torsion free driebeins for an arbitrary potential. The ambiguity is only at the level of boundary conditions. We also find that in 3 dimensions, any smooth Yang-Mills field tensor can be uniquely written as the non-Abelian magnetic field of a smooth Yang-Mills potential. PACS No(s). 11.15.-q 04.20.-q Ty...

The genus Hemerodromia in Thailand is revised and full descriptions and keys are provided for all 25 species. Twenty new species are recognised: H. alphalutea sp. nov., H. anisoserrata sp. nov., H. anomala sp. nov., H. attenuata sp. nov., H betalutea sp. nov., H. conspecta sp. nov., H. deltalutea sp. nov., H. deminuta sp. nov., H. demissa sp. nov., H. epsilutea sp. nov., H. etalutea sp. nov., H...

Optical Fiber made by plastic or polymer, can be and is being used in various fields of application. Two of the main fields are the automotive and the home networking. polymer optical fiber (POF) here can be seen as one of the best solutions for small world communication, especially in home networking application. In this paper, optical 13 fused-taper-twisted POF splitters has been fabricated ...