sciences exist to demonstrate the fundamental order underlying nature. chaos/complexity theory is a novel and amazing field of scientific inquiry. notions of our everyday experiences are somehow in connection to the laws of nature through chaos/complexity theory’s concerns with the relationships between simplicity and complexity, between orderliness and randomness (retrieved from http://www.inc...

The new sort developed by Sundararajan and Chakarborty (2007), a modification of Quick sort that removes the interchanges, considers the first element of the array as pivot element. In this paper the pivot element taken is a randomly selected element of the array. The effect of binomial parameters are examined on the average sorting complexity using Principal Component Analysis approach. An att...

Lattice polytopes arise naturally in algebraic geometry, analysis, combinatorics, computer science, number theory, optimization, probability and representation theory. They possess a rich structure arising from the interaction of algebraic, convex, analytic, and combinatorial properties. In this chapter, we concentrate on the theory of lattice polytopes and only sketch their numerous applicatio...