‎The Lorentz transformation of order $(m=1,n)$‎, ‎$ninNb$‎, ‎is the well-known ‎Lorentz transformation of special relativity theory‎. ‎It is a transformation of time-space coordinates of the ‎pseudo-Euclidean space $Rb^{m=1,n}$ of one time dimension and ‎$n$ space dimensions ($n=3$ in physical applications)‎. ‎A Lorentz transformation without rotations is called a {it boost}‎. ‎Commonly‎, ‎the ...

in this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. we characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. we also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.

Let n be a positive integer. In this paper we estimate the size of the set of linear forms b1 log a1 + b2 log a2 + ... + bn log an, where |bi| ≤ Bi and 1 ≤ ai ≤ Ai are integers, as Ai, Bi →∞.

Scheduling is an enduring process where the existence of real time information frequently forces the review and modification of pre-established schedules. The real world is complex and complexity generally arises from uncertainty. From this prospective the concept of fuzziness is introduced in the field of scheduling. The present paper pertains to a bi-criterion in n-jobs, three machines fl...

Let 〈x1, x2, ..., xm〉 be the access sequence. For each access xj compute the following Wilber number. We look at where xj fits among xi, xi+1, ..., xj−1 for all i = j−1, j−2... that is, counting backwards from j − 1 until the previous access to the key xj. Now, we say that ai < xj < bi, where ai and bi are the tightest bounds on xj discovered so far. Each time i is decremented, either ai increa...

the decomposition $gamma=bh$ of a group $gamma$ into a subset $b$ and a subgroup $h$ of $gamma$ induces, under general conditions, a group-like structure for $b$, known as a gyrogroup. the famous concrete realization of a gyrogroup, which motivated the emergence of gyrogroups into the mainstream, is the space of all relativistically admissible velocities along with a binary operation given by t...

Nowadays, with extending applications of bi-layer metallic sheets in different industrial sectors, accurate specification of each layer is very prominent to achieve desired properties. In order to predict behavior of sheets under different forming modes and determining rupture limit and necking, the concept of Forming Limit Diagram (FLD) is used. Optimization problem with objective functions an...

Résumé. Dans cet article, nous proposons un système de classification des comptes-rendus mammographiques, reposant sur une ontologie radiologique décrivant les signes radiologiques et les différentes classes de la classification ACR des systèmes BIRADS dans le langage OWL. Le système est conçu pour, extraire les faits issus des textes libres de comptes-rendus en étant dirigé par l’ontologie, pu...

In this research, we propose a bi-objective model for the economic-statistical design of the X-bar and S control charts. The model minimizes out-of-control average time to signal as well as minimizing mean hourly loss-cost where it incorporates the Taguchi loss function. Statistical constraint is considered in the model to achieve desired in-control time to signal. A non-dominated sort...

The paper examines how a retail organisation transformed from home-made Business Intelligence (BI) to a mature BI-based organisation, over a decade long period of time. We engaged in an Action Research (AR) inquiry where the transformation was explored through the first-hand experiences of one of the co-authors. Concepts from the organisational learning theory are used to analyse the organisati...