ON PRIMALITY OF THE SMARANDACHE SYMMETRIC SEQUENCES

The study of primality for the Smarandache sequences represents a recent research direction on the Smarandache type notions. A few articles that were published recently deal with the primality of the direct and reverse Smarandache sequences. The primality of Smarandache symmetric sequences has not been studied yet. This article proposes some results concerning the non-primality of these symmetric sequences and presents some interesting conclusions on a large computational test on these

ON THE CONVERGENCE OF THE ERDOS HARMONIC SERIES

The purpose of this article is to study the convergence of a few series with the Erdos function. The work is based on results concerning the convergence of some series with the Smarandache function

A NEW EQUATION FOR THE LOAD BALANCE SCHEDULING BASED ON THE SMARANDACHE F-INFERIOR PART FUNCTION

A new equation for upper bounds is obtained based on the Smarandache f-inferior part function. An example involving tpper diagonal matrices is given in order to illustrate that the new equation provide a better computation

Smallest Number of Sensors for k-Covering

This paper presents some theoretical results on the smaller number Nk(a, b) of sensors to achieve k coverage for the rectangular area [0, a] × [0, b]. The first properties show the numbers Nk(a, b) are sub-additive and increasing on each variable. Based on these results, some lower and upper bounds for Nk(a, b) are introduced. The main result of the article proves that the minimal density of sensors to achieve k-coverage is (k) ≤ k/2 improving a previous result of Ammari and Das [2]. Finally, the numbers N1(a, b) are tabled for some small values of a, b

Building fire emergency detection and response using wireless sensor networks

Wireless sensor networks (WSNs) provide a low cost solution with respect to maintenance and installation and in particular, building refurbishment and retrofitting are easily accomplished via wireless technologies. Fire emergency detection and response for building environments is a novel application area for the deployment of wireless sensor networks. In such a critical environment, timely data acquisition, detection and response are needed for successful building automation. This paper presents an overview of our recent research activity in this area. Firstly we explain research on communication protocols that are suitable for this problem. Then we describe work on the use of WSNs to improve fire evacuation and navigation

Calculating Smarandache Function in Parallel

This article presents an efficient method to calculate in parallel the varies of Smarandache function