Finite affine groups are given by groups of translations and di- lations on finite cyclic groups. For cyclic groups of prime order we develop a time-scale (wavelet) analysis and show that for a large class of non-zero window signals/vectors, the generated full cyclic wavelet system constitutes a frame whose canonical dual is a cyclic wavelet frame.

There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...

this paper addresses a multi-criteria decision based methodology to develop a road network cost function for route finding analysis in a geographic information system (gis). over the years, several studies relating to route planning process in gis and intelligent transportation systems (its) have been conducted, most of which rely on the use of one-dimensional variables like distance or time as...

Two dimensional thin layer chromatography on polyamide sheets is a useful method for identification of PTH-amino acids which have very close Rf-values. The solvent systems described here are particularly effective and have an edge over other solvent systems used for the separation of PTH-amino acids. The solvent systems provide a clear separation of all PTH-amono acids except lle / Leu in a...

by producing undistorted three-dimensional images of the area under examination, cone-beam computed tomography (cbct) systems have met many of the limitations of conventional radiography. these systems produce images with small field of view at low radiation doses with adequate spatial resolution that are suitable for many applications in endodontics from diagnosis to treatment and follow-up. t...

we design a two-stage scheme to consider trajectory planning problem of two mobile manipulators for cooperative transportation of a rigid body in presence of static obstacles. within the first stage, regarding the static obstacles we develop a method that searches the workspace for the shortest possible path between start and goal configurations by constructing a graph on a portion of the confi...

Linear descriptor systems are governed by dynamical equations subject to algebraic constraints. In the one-dimensional case, where only depend on a single index, usually time, Weierstrass canonical form splits up state vector in two parts, causal part, running forward and non-causal backward. this paper linear time-invariant autonomous two-dimensions discussed condition existence of non-trivial...