Browsing by Author "Rotari, Tatiana, conducător şt."

Now showing 1 - 13 of 13
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    Calculul determinanților de ordin superior [Articol]
    (USARB, 2023) Bîrnaz, Tatiana; Rotari, Tatiana, conducător şt.
    This article studies the concept of determinant and its properties. Some examples calculation of higher order determinants using Laplace's rule, properties of determinants are solved and explained. Determinants of finite order (order 4, 5, 6) as well as of undetermined order (order n) are calculated. Some techniques for calculating higher-order determinants are described, such as: bringing the determinant to the triangular form, the method of recurrences.
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    Generarea subgrupurilor ciclice ale grupului elementelor simetrizabile ale inelului Zn [Articol]
    (USARB, 2024) Guranda, Adrian; Rotari, Tatiana, conducător şt.
    This article investigates the structure and generation of cyclical subgroups within the ring Zn, providing a mathematical and computational analysis of its symmetrizable elements. The article also highlights the application of Lagrange's theorem within finite group theory and introduces a program developed for generating cyclical subgroups in Zn.
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    Grupuri ciclice [Articol]
    (USARB, 2024) Didenco, Alexandru; Rotari, Tatiana, conducător şt.
    Cyclic groups represent a fundamental concept in group theory in mathematics. A cyclic group is a group that can be generated by a single element, called a generator. The elements of a cyclic group are powers of the generator and their inverses. Cyclic groups are always abelian, meaning they are commutative. Each cyclic group is isomorphic to one of the groups of integers modulo n, where n is a positive natural number. Thus, the study of cyclic groups is essential in understanding the structure and properties of groups in general.
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    Învelișul liniar al unui sistem de vectori [Articol]
    (USARB, 2023) Ursu, Boris; Rotari, Tatiana, conducător şt.
    In this article discusses the concept of linear wrapper, which is a fundamental concept in higher algebra and related to the theory of vector spaces. It defines a linear vector space and introduces the concepts of linear combinations and linear independence of a set of vectors. It then provides examples to demonstrate the application of these concepts in determining the linear dependence of a set of vectors.
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    Jocurile didactice la matematică [Articol]
    (USARB, 2023) Miron, Mariana; Rotari, Tatiana, conducător şt.
    The didactic game is a modern didactic method to stimulate students' interest in mathematics. Through the didactic game, calculation skills with various types of numbers can be formed. They can be played head-to-head, in groups or in pairs. Using the game in mathematics lessons can ensure the student's interactivity, creativity and individuality.
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    Mulţimi de parastrofi ai quasigrupului caracterizat de operaţia [Articol]
    (USARB, 2023) Pogor, Vadim; Rotari, Tatiana, conducător şt.
    Quasigroup theory is a fairly young branch of contemporary algebra, applied in code theory and cryptology. For this purpose, a special class of quasigroups is studied, called T-quasigroups, which has the following form. This article presents a study of a class of quasigroups determined by the followinig operation, in particular, when n is a compound number, especially for. This article also presents a study of conjugate sets of the following quasigroup.
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    Rezolvarea congruenţelor pătrate în raport cu Modul Prim [Articol]
    (USARB, 2024) Cotos, Tatiana; Rotari, Tatiana, conducător şt.
    This paper explores methods for solving congruences with one variable, two variables, and n variables modulo a prime modulus. Within the study, various techniques and strategies for finding solutions to these types of congruences are presented. Among the discussed methods are the method of trials and the method of adding a multiple of the modulus. By providing a detailed presentation of these solution methods and techniques, this paper offers an in-depth perspective on solving congruences in the context of number theory, being useful for students, researchers in the field of mathematics.
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    Rezolvarea ecuaţiilor diofantice liniare [Articol]
    (USARB, 2024) Cotos, Tatiana; Rotari, Tatiana, conducător şt.
    The article addresses the resolution of Diophantine equations, presenting methods and techniques for finding integer solutions. Equations with one, two, and multiple variables are discussed, providing insight into various solving strategies. Practical examples are employed to illustrate the applicability of these methods and to highlight differences between variables. This article serves as a valuable resource for those interested in studying Diophantine equations and associated solving methods.
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    Studiul ecuaţiilor matriciale în clasa a XI-a [Articol]
    (USARB, 2024) Pavliuc, Tatiana; Rotari, Tatiana, conducător şt.
    The study of matrix equations in the 11th grade curriculum plays a pivotal role in shaping students' mathematical understanding and problem-solving skills. It explores the relevance of matrix equations in fields such as computer science, engineering, and economics, underscoring the significance of mastering this topic at an early stage of education. Additionally, the article discusses methods for solving matrix equations, their value in the educational process, as well as the development of critical thinking and analytical abilities in students. An important aspect is also the study of various types of matrix equations.
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    Tehnici de rezolvare a congruențelor liniare în raport cu modul compus [Articol]
    (USARB, 2023) Bargan, Doina; Rotari, Tatiana, conducător şt.
    The concept of linear congruence is studied in the university course of Algebra and Number Theory, as a fundamental notion of study in the Mathematics and Computer Science specialty. During the course, some learning difficulties arise, which are influenced by various factors. One of these factors is the limited number of exercises provided in the problem sets for the given topic, as well as the wide variety of methods used to solve them.
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    Tehnici de rezolvare a ecuaţiilor diofantice în clasa a 7-a [Aticol]
    (USARB, 2023) Ursu, Boris; Rotari, Tatiana, conducător şt.
    Analyzing the types of Diophantine equations proposed in the mathematics textbook, the collections of exercises and problems, as well as the tests proposed to 7th grade students in various competitions, the following techniques for solving Diophantine equations can be highlighted: the use of the properties of prime numbers, the method of decomposition into factors, perfect squares highlighting method. [Articol]
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    Utilizarea matricelor în diferite domenii [Articol]
    (USARB, 2023) Berjan, Lilia; Rotari, Tatiana, conducător şt.
    In this article we will study the notion of matrix. The application of matrices in practical problems, as well as in applied problems from different fields such as economics, chemistry, psychology. Thus, the importance of studying mathematics in various fields becomes relevant.
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    Utilizarea softului geogebra în predarea matematicii [Articol]
    (USARB, 2024) Plîngău, Cătălina; Rotari, Tatiana, conducător şt.
    This article investigates the use of GeoGebra, a dynamic and interactive mathematical software, in mathematics education. It emphasizes the importance of introducing innovative educational technology applications in mathematics teaching. The discussion highlights GeoGebra's role in enabling students to visualize, create, and explore mathematical concepts, thus promoting a dynamic, creative, and productive learning experience.