First we study some properties of the modular group algebra Fpr [G] where G is the additive group of a Galois ring of characteristic pr and Fpr is the field of p r elements. Secondly a description of the Generalized Reed-Muller codes over Fpr in Fpr [G] is presented.

In this paper, we firstly propose a novel data min ing problem in a WWW environment. Secondly, we outline the algorithm f o r solving the problem. Our initial implementation of the algorithm suggests the algorithm is very e f i c i en t and scalable in practical. Therefore it can be applied t o a very large database.

Software engineering is forecast to be among the fastest growing employment field in the next decades. The purpose of this investigation is two-fold: Firstly, empirical studies on the personality types of software professionals are reviewed. Secondly, this work provides an upto-date personality profile of software engineers according to the Myers–Briggs Type Indicator. r 2002 Elsevier Science L...

Schrödinger equation with potentials of the Kratzer plus polynomial type (say, quartic V (r) = Ar +B r + C r +D r + F/r +G/r etc) is considered and a new method of exact construction of some of its bound states is presented. Our approach is made feasible via a combination of the traditional use of the infinite series ψ(r) (terminated rigorously after N+1 terms at certain specific couplings and ...

First we examine the possibility of neglecting poles of the effective interaction within the work ing interval and the consequences of such a procedure . Secondly, the effective i n t e r a c t i o n 2 4 defined in A requires exact knowledge of the mode l states; f o r example to f o r m the matrix elements of the unperturbed Green-operator W e generalize our method, to a model space with unkno...

Background: Although maximal sprint speed (MSS) and the anaerobic speed reserve (ASR) provides valuable information about the speed profile of athletes, these parameters fall short of providing important information about sub-maximal metabolic thresholds. The only field test that can offer an estimate of a sub-maximal metabolic threshold is the 3-minute all-out test for running (3MT) which deli...

Our first aim in this note is to prove some inequalities relating the eigenvalues of a Hermitian matrix with the eigenvalues of its principal matrices induced by a partition of the index set. One of these inequalities extends an inequality proved by Hoffman in [9]. Secondly, we apply our inequalities to estimate the eigenvalues of the adjacency matrix of a graph, and prove, in particular, that ...

We establish two global subellipticity properties of positive symmetric second-order partial differential operators on L2(R ). First, if m ∈ N then we consider operators H0 with coefficients in W (R) and domain D(H0) =W (R) satisfying the subellipticity property c (φ, (I +H0)φ) ≥ ‖∆ φ‖2 for some c > 0 and γ ∈ 〈0, 1], uniformly for all φ ∈ W(R), where ∆ denotes the usual Laplacian. Then we prove...

In this paper, we establish some commutativity theorems for certain rings with polynomial constraints as follows: Let R be an associative ring, and for all x, y ∈ R, and fixed non-negative integers m > 1, n ≥ 0, r > 0, s ≥ 0, t ≥ 0, p ≥ 0, q ≥ 0 such that P (x, y) = ±Q(x, y), where P (x, y) = ys[x, y]yt and Q(x, y) = xp[xm, yn]ryq. First,it is shown that a semiprime ring R is commutative if and...

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