Let Tn(x) and Un(x) be the Chebyshev’s polynomial of the first kind and second kind of degree n, respectively. For n ≥ 1, U2n−1(x) = 2Tn(x)Un−1(x) and U2n(x) = (−1)An(x)An(−x), whereAn(x) = 2n ∏n i=1(x− cos iθ), θ = 2π/(2n + 1). In this paper, we will study the polynomial An(x). Let An(x) = ∑n m=0 an,mx m. We prove that an,m = (−1)k2m ( l k ) , where k = bn−m 2 c and l = b 2 c. We also complete...

In 2012 CIT. Journal of Computing and Information Technology celebrates its twentieth year of regular publishing. As this anniversary is difficult to reach in an otherwise very competitive environment like scientific publishing, I feel compelled to commemorate it in this Editorial, where I am outlining both the most important steps in CIT’s life, as well as future plans along with respective pr...

We notice that some recent explicit results about linear recurrent sequences over a ring R with 1 were already obtained by Agou in a 1971 paper by considering the euclidean division of polynomials over R. In this paper we study an application of these results to the case when R = Fq [t] and q is even, completing Agou’s work. Moreover, for even q we prove that there is an infinity of indices i s...

We examine experiences of collective self-objectification (CSO) (or its failure) among participants in a 'multicultural' St Patrick's Day parade. A two-stage interview study was carried out in which 10 parade participants (five each from ethnic majority and minority groups) were interviewed before and after the event. In pre-event interviews, all participants understood the parade as an opportu...

The period since September 11 attacks in 2001 has witnessed intense debates over to what extent a ―clash of civilizations‖ is inevitable. This paper argues that the ―clash of civilizations‖ thesis is a mistaken paradigm of understanding the Post-Cold War international order. While cultural and religious identities have increasingly become a source of political mobilization in the Post-Cold War ...

In many dynamic open systems, agents have to interact with one another to achieve their goals. Here, agents may be self-interested, and when trusted to perform an action for others, may betray that trust by not performing the actions as required. In addition, due to the size of such systems, agents will often interact with other agents with which they have little or no past experience. This sit...