Accumulation of abundant data from different sources of the society but a little knowledge situation has lead to Knowledge Discovery from Databases or Data Mining. Data Mining techniques use the existing data and retrieve the useful knowledge from it which is not directly visible in the original data. As Data Mining algorithms deal with huge data, the primary concerns are how to store the data ...

Given a field K of characteristic 2 and an integer n ≥ 2, let W (2n − 1, K) be the symplectic polar space defined in PG(2n − 1, K) by a nondegenerate alternating form of V (2n, K) and let Q(2n, K) be the quadric of PG(2n, K) associated to a non-singular quadratic form of Witt index n. In the literature it is often claimed that W (2n − 1, K) ∼= Q(2n, K). This is true when K is perfect, but false...

We consider the problem of dynamic portfolio optimization in a discrete-time, finite-horizon setting. Our general model considers risk aversion, portfolio constraints (e.g., no short positions), return predictability, and transaction costs. This problem is naturally formulated as a stochastic dynamic program. Unfortunately, with non-zero transaction costs, the dimension of the state space is at...

Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions, separated by a set of vertices, is not straightforward. The perfect fusion graphs defined in [J. Cousty et al, “Fusion Graphs: Merging Properties and Watersheds”, JMIV 2008] verify all the basic properties required by region merging algorithms as use...

Region merging methods consist of improving an initial segmentation by merging some pairs of neighboring regions. In a graph, merging two regions is not straightforward. The perfect fusion graphs defined in [J. Cousty et al, “Fusion Graphs: Merging Properties and Watersheds”, JMIV 2008] verify all the basic properties required by region merging algorithms as used in image segmentation. Unfortun...

This paper presents an E-ring shaped printed monopole antenna for UWB applications with dual notched bands performance. In order to generate single frequency band notch function, we applied a U-ring shaped monopole antenna, and by inserting a rectangular ring in the centre of it an E-ring shaped radiating patch created and a dual band-notch function can be achieved. The measured bandwidth of th...

In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here we describe algorithms making the classification possible.

It is pointed out that the Mersenne primes Mp = (2 p − 1) and associated perfect numbers Mp = 2 p−1 Mp play a significant role in string theory; this observation may suggest a classification of consistent string theories. Typeset using REVTEX 1 Anomalies and their avoidance have provided a guidepost in constraining viable particle physics theories. From the standard model to superstrings, the i...