A single phased Y-type hexagonal ferrite Sr2Co1.7Mg0.3Fe11.2Sn0.4Zn0.4O22 was synthesized by the sol–gel auto combustion method. Structural and magnetic properties of this composition of Y-type hexagonal ferrite have been investigated. The X-ray diffraction (XRD) patterns confirm single phase Y-type hexagonal ferrite and various parameters such as lattice constants and cell volume have been cal...

We present an algorithm that arranges a multi-robot system into a regular hexagonal lattice. This configuration provides continuous coverage with the fewest number of robots required. It also has a bounded stretch over a fully-connected graph, producing an efficient multi-hop communications network. Our algorithm uses artificial forces to move each robot to local potential energy wells. A local...

We consider the design of lattice vector quantizers for the problem of coding Gaussian sources with uncoded side information available only at the decoder. The design of such quantizers can be reduced to the problem of nding an appropriate sublattice of a given lattice codebook. We study the performance of the resulting quantizers in the limit as the encoding rate becomes high, and we evaluate ...

By using a combinatorial screening method based on the self-consistent field theory (SCFT) for polymers, we have investigated the morphology of H-shaped ABC block copolymers (A2BC2) and compared them with those of the linear ABC block copolymers. By changing the ratios of the volume fractions of two A arms and two C arms, one can obtain block copolymers with different architectures ranging from...

My general research interests include image processing, numerical analysis, algebra, combinatorics, differential equations, neural networks, pattern recognition, and statistics. I have taken a multitude of courses at the graduate level in mathematics, applied mathematics, computer science and statistics. I am particularly interested in mathematical problems that are driven by applications. Beca...

Storing textures on orthogonal tensor product lattices is predominant in computer graphics, although it is known that their sampling efficiency is not optimal. In two dimensions, the hexagonal lattice provides the maximum sampling efficiency. However, handling these lattices is difficult, because they are not able to tile an arbitrary rectangular region and have an irrational basis. By storing ...

Memory is attributed to strengthened synaptic connections among particular brain neurons, yet synaptic membrane components are transient, whereas memories can endure. This suggests synaptic information is encoded and 'hard-wired' elsewhere, e.g. at molecular levels within the post-synaptic neuron. In long-term potentiation (LTP), a cellular and molecular model for memory, post-synaptic calcium ...

We apply local structure theory calculations 7 to the study of cellular automata on the two-dimensional hexagonal lattice. A particular hexagonal lattice rule denoted (3422) is considered in detail. This rule has many features in common with Conway's Life. The local struc-1 ture theory captures many of the statistical properties of this rule; this supports hypotheses raised by a study of Life i...

Plateaux in the magnetization curves of the square, triangular and hexagonal lattice spin1/2 XXZ antiferromagnet are investigated. One finds a zero magnetization plateau (corresponding to a spin-gap) on the square and hexagonal lattice with Ising-like anisotropies, and a plateau with one third of the saturation magnetization on the triangular lattice which survives a small amount of easy-plane ...