Recursive Diagonal Torus (RDT) is a class of interconnection network consisting of recursively overlaid twodimensional square diagonal tori for massively parallel computers with up to 2 nodes. Connection structures of the RDT vary according to the assignment of upper rank diagonal tori into a node. Although traditional simple assignment called RDT(2,4,1)/ shows enough performance under the unif...

The purpose of this paper is to study the dynamics near a reducible lower dimen sional invariant tori of a nite dimensional autonomous Hamiltonian system with degrees of freedom We will focus in the case in which the torus has some elliptic directions First let us assume that the torus is totally elliptic In this case it is shown that the di usion time the time to move away from the torus is ex...

We present the results of global three dimensional magneto-hydrodynamic simulations of black hole accretion flows. We focus on the dependence of numerical results on the gas temperature Tout supplied from the outer region. General relativistic effects are taken into account using the pseudo-Newtonian potential. We ignore the radiative cooling of the accreting gas. The initial state is a torus w...

The objective of this study was to determine the prevalence of torus palatanis and torus mandibularis in relation to age and gender among patients who attended Dental Department of Queen Alia Military Hospital in Jordan. In this study 1218 subjects were examined for the presence of tori by inspection and palpations. Out of 1218 subjects 28.7% had torus palatinus or mandibularis. The highest per...

Torus palatinus (TP), torus mandibularis (TM), and buccal exostosis are localised, benign, osseous projections, occurring in maxilla and mandible. Etiology is multifactorial and not well established. Tori and exostoses have been associated with parafunctional occlusal habits, temporomandibular joint (TMJ) disorders, migraine and consumption of fish. Concurrence of TP, TM, and exostosis in the s...

We propose a visualization algorithm that, given a set of points in high-dimensional space, will produce an image projected on a 2-dimensional torus. The algorithm is a push and pull oriented technique which uses a sigmoid-like function to correct the pairwise distances. We describe how to make use of the torus property and show that using a torus is a generalization of employing the standard c...

Let M be a torus bundle, i.e. an (n + 1)-dimensional manifold, which fibers over the circle with the fiber an n-dimensional torus. A covariant functor from M to the Cuntz-Krieger algebra (a C∗-algebra) is constructed. The functor maps homeomorphic torus bundles to the stably isomorphic Cuntz-Krieger algebras. It is shown that in general the K-theory of the Cuntz-Krieger algebra counts the torsi...

We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and Möbius strip are applicable as orientifolds. We calculate the solutions using Connes, Douglas and Schwarz’s projective module solution, and investigate twisted gauge bundle on quotient spaces as well. They are Yang-Mills theory on noncommutative t...

We apply the general theory for symplectic torus actions with symplectic or coisotropic orbits to prove that a 4-manifold with a symplectic 2-torus action admits an invariant complex structure and give an identification of those that do not admit a Kähler structure with Kodaira’s class of complex surfaces which admit a nowhere vanishing holomorphic (2, 0)-form, but are not a torus or a K3 surface.

The model of the torus as a parallelogram in the plane with opposite sides identiied enables us to deene two families of parallel lines and to tessellate the torus, then to associate to each tessellation a toroidal map with an upward drawing. It is proved that a toroidal map has a tessellation representation if and only if its universal cover is 2-connected. Those graphs that admit such an embe...