Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which consists of the usual 1-form exterior derivative plus an extra element called the matrix derivative, for the curvatures. We first derive the matrix derivative...

We present new rectangular mixed finite elements for linear elasticity. The approach is based on a modification of the Hellinger-Reissner functional in which the symmetry of the stress field is enforced weakly through the introduction of a Lagrange multiplier. The elements are analogues of the lowest order elements described in Arnold, Falk and Winther [ Mixed finite element methods for linear ...

A cluster growth model is proposed to study chiral symmetry breaking in stirred crystallization from an achiral element. Achiral monomers are assumed to coagulate to form chiral clusters from dimers to hexamers. Due to the stirring, the hexamers break into dimers. The coagulation of two dimers into a tetramer also occurs. The fixed point analysis of coupled rate equations of cluster densities a...

We introduce and demonstrate a new mapping for generating music from the 2D Cellular Automata “Game of Life” (GL). The core of this mapping is based on a polar co-ordinate system with origin at the GL grid centre. Such a polar approach is designed to better capture the radial symmetry inherent in the rule set for GL. The radial symmetry of the GL rule set is key to the visual experience of obse...

The calculation of the spreading width of a compound nuclear reaction caused by a symmetry breaking K-body force acting in an A-body system (K ≪ A, usually K = 2) involves the determination of the local average square matrix element in A-body space. This problem is reduced to finding the global mean square matrix element v2 in K-body space. The result is a compact formula for the spreading widt...

Fullerene chemistry is nowadays a well-established field of both theoretical and experimental investigations‎. This study considers the symmetry of small fullerenes cage C24 and C28‎. ‎Using PM3 program for C24 and C28 fullerenes, Oh and Td symmetry were confirmed, respectively‎. ‎ The mentioned algorithm to compute the automorphism group of these fullerenes with connectivity and geometry of th...

Molecular dynamics simulations have been employed to determine the optimal conformation of an estrogen receptor DNA binding domain dimer bound to a consensus response element, ds(AGGTCACAGTGACCT), and to a nonconsensus response element, ds(AGAACACAGTGACCT). The structures simulated were derived from a crystallographic structure and solvated by a sphere (45-A radius) of explicit water and counte...

Ferritin, the major intracellular iron storage protein of eucaryotic cells, is regulated during inflammation and malignancy. We previously reported that transcription of the H subunit of ferritin (ferritin H) is negatively regulated by the adenovirus E1A oncogene in mouse NIH 3T3 fibroblasts (Y. Tsuji, E. Kwak, T. Saika, S. V. Torti, and F. M. Torti, J. Biol. Chem. 268:7270-7275, 1993). To eluc...

Abstract. A model based on SUSY SO(10) combined with SU(2) family symmetry is constructed. In contrast with the commonly used effective operator approach, 126-dimensional Higgs fields are utilized to construct the Yukawa sector. R-parity symmetry is thus preserved at low energies. The symmetric mass textures arising from the left-right symmetry breaking chain of SO(10) give rise to very good pr...