The above concept brings out the method for the multilevel inverters for generation of space vector pulse width modulation (SVPWM) signals. The small triangles formed by the adjacent voltage space vectors are called sectors. Such six sectors around a voltage space vector forms a hexagon called sub hexagon. The space vector diagram of a multilevel inverter can be viewed as composed of a number o...

The energy efficiency is a key design issue to improve the lifetime of the underwater sensor networks (UWSN) consisting of sensor nodes equipped with a small battery of limited energy resource. In this paper, we apply a hexagon tessellation with an ideal cell size to deploy the underwater sensor nodes for two-dimensional UWSN. Upon this setting, we propose an enhanced hybrid transmission method...

We show that a generalized hexagon of order 3 which contains a subhexagon of order (1, 3) must be the split Cayley hexagon H(3). MSC-2000 : 51E12 keywords : generalized hexagon, split-Cayley hexagon, incidence geometry

Hexagonal regions are optimal for subdividing the plane in the sense that the regions are as close as possible to the disk shape while still providing a tessellation of the plane. It is however not possible to do recursive subdivisions, i.e. to divide a hexagon into smaller hexagons. In this paper, hexagon-like fractal regions will be presented. It is possible to decompose a hexagon-like fracta...

Large-Scale Distributed Virtual Environments (LSDVEs) must deal with the challenge of supporting a large number of users interacting on the Internet while keeping the communication among the parties synchronous and highly reactive. Interest Management is widely used to filter unnecessary messages in such systems. However, the lack of deployment of IP Multicasting over the Internet and other pro...

We present a compact analytic formula for the two-loop six-particle maximally helicity violating remainder function (equivalently, the two-loop lightlike hexagon Wilson loop) in N=4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Lik with cross ratios of momentum twistor invariants as their arguments. In deriving our formula we rely on results from the theory ...

In regime II of Baxter's solution of the hard-hexagon model [Baxter, R. J. (1980) J. Phys. A 13, L61-L70], he presents six conjectures identifying certain one-dimensional partition functions with infinite products. An outline of the proof of these conjectures is given here.