In the current work, the authors present a symbolic algorithm for finding the inverse of any general nonsingular tridiagonal matrix. The algorithm is mainly based on the work presented in [Y. Huang, W.F. McColl, Analytic inversion of general tridiagonal matrices, J. Phys. A 30 (1997) 7919–7933] and [M.E.A. El-Mikkawy, A fast algorithm for evaluating nth order tridiagonal determinants, J. Comput...

The El Farol bar model, proposed to study the dynamics of competition of agents in a variety of contexts (W.) is studied. We characterize in detail the three regions of the phase diagram (efficient, better than random and inefficient) of the simplest version of the model (D. Challet and Y.-C. Zhang, Physica A, 246, 407 (1997)). The efficient region is shown to have a rich structure, which is in...

S. E. EL-KHAMY, M. M. HADHOUD, M. I. DESSOUKY, B. M. SALLAM AND F. E. ABD EL-SAMIE Department of Electrical Engineering Faculty of Engineering Alexandria University Alexandria 21544, Egypt Department of Information Technology Faculty of Computers and Information Menoufia University Shebin Elkom 32511, Egypt Department of Electronics and Electrical Communications Faculty of Engineering Menoufia ...

A factorizable inverse monoid can be identified, up to isomorphism, with an inverse submonoid M of a symmetric inverse monoid I(X) where each element of M is a restriction of a permutation of X belonging to M . So factorizable inverse monoids are natural objects, and appear in a number of branches of mathematics, cf. [12], [4]. The notion of an almost factorizable inverse semigroup was introduc...

The main goal of this research project is the study and development of machine translation technologies for Chinese-to-Spanish and Spanish-to-Chinese communication systems. The project combines a basic research activity along with an applied research work which objective is the implementation of the developed machine translation technologies into specific tools and systems for bilingual communi...

In 2015, Earth experienced the start of a strong El Niño event. El Niño events are natural fluctuations of the climate system where unusually warm water accumulates in the equatorial Pacific Ocean. El Niño events are associated with abnormal weather patterns such as strong storms in some places and droughts or flooding in others. A typical El Niño event lasts 9 months to 2 years. This phenomeno...