The problems of facility location and the allocation of demand points to facilities are crucial research issues in spatial data analysis and urban planning. It is very important for an organization or governments to best locate its resources and facilities and efficiently manage resources to ensure that all demand points are covered and all the needs are met. Most of the recent studies, which f...

This chapter reviews basic notions of 2D geometry. We start with the study of vectors and points. Then we discuss coordinate systems (frames) and transformations. Finally, we look at lines, edges, triangles, and circles. 1.1 Why are points and vectors important Points and vectors are the fundamental primitives from which most of the representations and of the geometry processing techniques used...

In this paper, a novel three-dimensional autonomous chaotic system is proposed. The proposed system contains four variational parameters, a cubic nonlinearity term (i.e. product of all the three states) and exhibits a chaotic attractor in numerical simulations. The basic dynamic properties of the system are analyzed by means of equilibrium points, Eigen values and Lyapunov exponents. Finally, t...

The typical dimensions of an object are length, width and depth, each measured along certain lines ninety degrees apart from each other. For you Einsteinians, we include time, which is quite a different animal than the basic three, and which consists only of motion of something three-dimensional relative to the viewer. All dimensions measure distance between points of space-time: like inches, d...