Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics
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Item ON π-QUASIGROUPS ISOTOPIC TO ABELIAN GROUPS(Institutul de Matematică şi Informatică al AŞM, 2009) Syrbu, ParascoviaAπ-quasigroup is a quasigroup satisfying one of the seven minimalidentities from the V.Belousov’s classification given in [1]. Some general results aboutπ-quasigroups isotopic to groups are obtained by V. Belousovand A. Gwaramija in [1]and [2].π-Quasigroups isotopic to abelian groups are investigated in this paperItem SINGULAR LIMITS OF SOLUTIONS TO THE CAUCHY PROBLEMFOR SECOND ORDER LINEAR DIFFERENTIAL EQUATIONSIN HILBERT SPACES(Institutul de Matematică şi Informatică al AŞM, 2009) Rusu, GalinaWe study the behavior of solutions to the problem(ε“u′′ε(t) +A1uε(t)”+u′ε(t) +A0uε(t) =f(t), t >0,uε(0) =u0, u′ε(0) =u1,in the Hilbert spaceHasε→0, whereA1andA0are two linear selfadjoint operators.Item NASH EQUILIBRIA IN THE NONCOOPERATIVE INFORMATIONALEXTENDED GAMES(Institutul de Matematică şi Informatică al AŞM, 2009) Novac, LudmilaIn this article¤we will analyse informational extended games, i.e. games in which the players choose their actions simultaneously, with assumption that they have some information about the future strategies which will be chosen by other players. All informational extended games of this type will assume that players' payoff functions are common knowledge. Under these assumptions the last section will define the informational extended games and analyse Nash equilibrium and conditions of its existence. The essential result of this article is a theorem of Nash equilibrium existence in informational extended games with n players. Our treatment is based on a standard fixed point theorem which will be stated without proof in the first section.Item GLOBAL ATTRACTORS OF NON-AUTONOMOUS DIFFERENCE EQUATIONS(Institutul de Matematică şi Informatică al AŞM, 2009) Cheban, David; Mammana, Cristina; Michetti, ElizabettaThe article is devoted to the study of global attractors of quasi-linear non-autonomous di®erence equations. The results obtained are applied to the study of a triangular economic growth model T : R2 ! R2 recently developed in S. Brianzoni, C. Mammana and E. Michetti [1Item SISTEMUL INTELIGENT DE ASISTARE ÎN PSIHIATRIE(CEP USM, 2009) Butnaru, MarianaElaborated expert system determines mental disorders according to symptoms that patients have. It asks questions concerning 132 symptoms. The result of execution of application can be one of 24 different diagnoses. The expert system is intended to be used for education of medical students, clinicians.Item GHID PRACTIC AL AUTORULUI DE TESTE ÎN MOODLE(CEP USM, 2009) Bragaru, Tudor; Lungu, Alexandru; Ghermanschi, Vadim; Baron, GhenadieThe given work presents a clear description of possibilities of the Moodle platform for the most important parts of the didactic process: evaluation, self-evaluation and testing practiced both well for the traditional university studies and distance-learning. Applying of the suchlike system in university studies allows not only systematic, operative and objective evaluation of the students’ knowledge but also informing about the quality of their works in the operative way and monitoring them for the most efficient assimilation of the studied mastery.Item A HELLY TYPE THEOREM FOR d-STARSHAPED SETS(CEP USM, 2009) Topală, OlegSe demonstrează o teoremă de tip Helly despre intersecţia mulţimilor compacte d-stelate în spaţiul Minkowski n R cu metrica d(x, y) = x − y . Din această teoremă rezultă renumita teoremă Helly despre intersecţia mulţimilor convexe [1] şi o variantă a teoremei Helly despre intersecţia mulţimilor stelate în spaţiul euclidian n E demonstrată în [2] .Item PROBABILITĂŢILE LIMITĂ DE TRANSFER ALE SISTEMELOR ALEATORII DISCRETE(CEP USM, 2009) Lazari, AlexandruIn this article we study discrete random systems with finite set of states. A polynomial time algorithm for determining the limit matrix of probabilities in Markov processes is proposed and grounded.Item PRINCIPII DE ECHILIBRU PARETO-NASH(CEP USM, 2009) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Pareto-Nash equilibriums in strategic games. The main results and method for solving the problem are explained. They are applied to solve the problem of finding Pareto-Nash equilibriums of two player bi-criteria games through constructing the intersection of the graphs of efficient respond applications. Illustration examples are presented.Item ASELENIZAREA UNEI NAVE COSMICE(CEP USM, 2009) Brega, Alexandru; Ungureanu, ValeriuIt is considered the problem of the spaceship descending on the Moon (cosmic body without atmosphere) with spending a minimum amount of the fuel. The mathematical model represents an optimal control problem. It’s solved by application of the Lagrange principle and the maximum principle of Pontreaghin. The investigation of the problem with Lagrange method it is difficult because it needs application of numerical methods with a high precision and knowledge in several fields of mathematics and physics, also. However we obtain numerical results that illustrates the possibility for the cosmic ship to descend, respecting the proposed beginning requirements (the initial mass of fuel, height, velocity, etc.). It is presented the program for lunar descending simulation process in Mathematica 7.0. The formulas and numerical results, obtained during the theoretical analysis of the problem, are program fundamentals.