Mobile ad hoc networks usually use various forms of flooding to discover the location and route of a node or to diffuse a given message. Flooding is useful because it finds a good path to a destination or quickly diffuses the message all over the network. With the flooding, however, also comes the problem of propagating many unnecessary messages throughout the network. In this paper, first, we ...

Identifying the functional and mechanical limitations of single tooth implant systems is essential for the long-term success of the restoration. Three designs with different prosthetic connections were evaluated with their corresponding single tooth abutments for structural integrity and cyclic fatigue. The internal implant octagon was the weakest connection under off-axis impact loading and la...

cycloaddition reaction between c30 and hula-i, 3-diene was studied within the snimework of am i (rhf)level. the reaction involving the double bond between two hexagons and a hexagon and a pentagon, as wellas the cycloaddition products followed by disrotatory ogs s electrocyclic ring openings were considered.thermodynamics parameters and stability energy and innsation state are evaluated in thre...

A construction of hexagon relations—algebraic realizations four-dimensional Pachner moves—is proposed. It goes in terms “permitted colorings” 3-faces pentachora (4-simplices), and its main feature is that the set permitted colorings nonconstant—varies from pentachoron to pentachoron. Further, a cohomology theory formulated for these relations, nontriviality demonstrated on explicit examples.

Disregarding the identity, the remaining 63 elements of the generalized three-qubit Pauli group are found to contain 12 096 distinct copies of Mermin’s magic pentagram. Remarkably, 12 096 is also the number of automorphisms of the smallest split Cayley hexagon. We give a few solid arguments showing that this may not be a mere coincidence. These arguments are mainly tied to the structure of cert...

We derive an analytic expression for the scalar one-loop pentagon and hexagon functions which is convenient for subsequent numerical integration. These functions are of relevance in the computation of next-to-leading order radiative corrections to multi-particle cross sections. The hexagon integral is represented in terms of n-dimensional triangle functions and (n+2)dimensional box functions. I...

The growth of three-dimensional ultra-fine spherical nano-particles of silver on few layers of graphene derived from highly oriented pyrolytic graphite in ultra-high vacuum were characterized using in situ scanning tunneling microscopy (STM) in conjunction with X-ray photoelectron spectroscopy. The energetics of the Ag clusters was determined by DFT simulations. The Ag clusters appeared spheric...