A sensor network normally constitutes a Wireless ad-hoc network, meaning that in it each sensor supports a multi-hop routing algorithm (several nodes may forward data packets to the base station). But the sensor nodes suffer from constrained resources i.e., sensors have limited energy resources and their functionality continue only until their energy is drained out. Therefore the limited energy...

conclusions hexagonal water has no significant effect(s) on total cholesterol, hdl, and ldl; however, more experiments are needed to clarify all aspects of hexagonal water consumption on diabetes. background diabetes is one of the most prevalent abnormalities in all over the world. nowadays, there are lots of attempts to reduce its disturbances and defects by changing life style to access some ...

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Electrons localized on the surface of liquid helium have been investigated quite extensively as an example of a nearly ideal two-dimensional Coulomb system [1,2]. Recently it has been observed that the homogeneous spatial distribution of the surface charge can be destroyed by self-trapping of the electrons in macroscopic dimples, which appear when the electric field pulling the charges toward t...

Electrophysiological recording studies in the dorsocaudal region of medial entorhinal cortex (dMEC) of the rat reveal cells whose spatial firing fields show a remarkably regular hexagonal grid pattern (Fyhn et al., 2004; Hafting et al., 2005). We describe a symmetric, locally connected neural network, or spin glass model, that spontaneously produces a hexagonal grid of activity bumps on a two-d...

An edge of a hexagonal system H is said to be forcing if it belongs to exactly one perfect matching of H. Using the concept of Z-transformation of hexagonal system, we give a characterization for the hexagonal systems with forcing edges and determine all forcing edges is such systems. We also give the generating function of all hexagonal systems with forcing edges. A hexaoonal system, also call...

A number of new compounds of two series have been shown by miscibility studies and optical microscopy to exhibit the hitherto rare smectic F phase. An example of each series has been chosen for detailed X-ray structural investigation : terephthalylidenebis-4-n-pentylaniline (TBPA) and 4-(2'-methyl butylphenyl 4'-n-octyloxybiphenyl-4-carboxylate) (80SF). The structure of the SF phase has been de...

We bridge the properties of the regular square and honeycomb Voronoi tessellations of the plane to those of the Poisson-Voronoi case, thus analyzing in a common framework symmetry-break processes and the approach to uniformly random distributions of tessellation-generating points. We resort to ensemble simulations of tessellations generated by points whose regular positions is perturbed through...

Inspired by classical puzzles in geometry that ask about probabilities of geometric phenomena, we give an explicit formula for the probability a random triangle on flat torus is homotopically trivial. Our main tool this computation involves reducing problem to new invariant measurable sets plane unchanged under area-preserving affine transformations. result show minimized at all rectangular tor...