In the article, the author presents her experience of using a contrastive@ comparative analysis as a tool of forming lingvoculturological competence in the process of teaching the English language to Turkish-speaking students from Central Asia on the trilingual basis. The author emphasizes the significance of applying the method of interference of Russian and native social culture of foreign students in the process of intercultural communication. The benefits of the described method are supremely important for developing analytical thinking, facilitating elimination of consequences of сlip thinking. The algorithm of using contrastive-comparative analysis method in the process of students’ independent scientific research under teacher’s guidance is described in detail on the example of investigating sayings and proverbs on the topic “Hospitality”. The results of the investigation may be applied not only in the process of realizing sociocultural adaptation of Turkish-speaking students from Central Asia, but also while teaching English to foreign students whose native languages belong to other language families.
In the article, the concept of external barycentric coordinates is introduced to generalize the applicability of the barycentric method for solving external value and initial boundary value problems of mathematical physics. The study is aimed at formulating a simple analytical relation that allows one to calculate barycentric coordinates that are external to a given arbitrary polygonal area with a given accuracy. The corresponding ratio is formed when drawing up an approximate analytical calculation rule, which is based on finding the solution of the external Dirichlet problem for the Laplace equation by the Fredholm method. This solution is based on the decomposition of the kernel of the Fredholm integral equation of the second kind by Legendre polynomials of the first and second orders with use of the Heine formula. As a result, the convergence rate of the external barycentric coordinates obtained by approximate analytical calculation is estimated when establishing exponential convergence in the Hilbert space and polynomial convergence in the space of continuous functions. The algorithmic features of the implementation of an approximate analytical solution with a structured representation of pseudo-codes of algorithms for calculating external barycentric coordinates formed mainly for the MathCad computer algebra system are clarified. The efficiency is demonstrated by specific examples. In conclusion, the author of the article hopes that the detailed results of the algorithmic implementation of calculation of external barycentric coordinates will arouse interest and make the publication material more accessible to a wide range of readers, which would lead to the development of the barycentric method for solving the boundary and initial boundary value problems of mathematical physics.
The article discusses the results of a study of the symptoms of emotional burnout and professional deformation of correctional officers. The study involved 140 employees of the Federal Penitentiary Service «Correctional colony No. 2» and «Correctional colony No. 6» of the Federal Penitentiary Service of Russia in the Ryazan region, who carry out their professional activities in the security department, in the center for labor adaptation of convicts, in the department of educational work with convicts. The psychodiagnostic tools selected for the study make it possible to measure and analyze the severity of the respondents' symptoms of emotional burnout and professional deformation. The study used the "Methodology for diagnosing the level of emotional burnout" by V. Boyko, the questionnaire "Professional burnout" by N. Vodopyanova, the questionnaire "Strategies for overcoming stressful situations" by S. Hobfall, and the Questionnaire for Psychophysiological Maladaptation by O. Rodina. Some of the identified patterns of the formation and development of emotional burnout and professional deformation of the personality of correctional officers are described: the features of social interaction in a stressful situation play a significant role in the formation of professional deformation; the feeling of fatigue and emotional exhaustion is one of the key factors in the formation and development of the studied negative conditions. The tasks and directions of psychological correction of symptoms of emotional burnout and professional deformation in correctional officers are substantiated: development of skills of self-regulation and self-control; development of stress tolerance; development of communicative competence and training in strategies of constructive interaction in extreme situations; training in rules and methods of restoring psychological resources and dealing with stress; expanding the area of awareness of the impact of the specifics of professional activity on the personality of an employee and individual responsibility for their own psychological conditions and deformations.
Relevance . One of the unsolved problems of the theory of error-correcting coding is the problem of constructing decoders of long codes with low computational complexity. From the point of view of algebraic coding theory, the cornerstone for this is the operation of multiplying two polynomials a and b over the field GF(q k ) modulo the third polynomial g. As q and k increase, the use of methods for calculating the field convolution based on the logarithm and antilogarithm operations becomes ineffective due to the use of a large amount of memory for constructing tables. Simplified implementations of the field convolution using the asymmetry of the accompanying matrix and analytical (non-tabular) methods of logarithm and antilogarithm using Zhegalkin polynomials have been developed only for q = 2. Multipliers based on shift registers have a significantly lower speed for large q and k. The aim of the study is to find options for reducing the computational complexity of the field convolution operation in multivalued extended Galois fields during its synthesis in the logical basis "AND"‒"OR"‒"NOT". Methods. An analysis of single-cycle methods for multiplying elements of a multivalued extended Galois field specified in vector or polynomial form for various power bases is carried out. Examples of calculating field convolutions in multivalued Galois fields by various methods are given. The structure of the considered type of fields is studied. Results. It is shown that addition and multiplication operations in the field GF(q) synthesized on the elements of the logical basis "AND"‒"OR"‒"NOT" make the main contribution to the complexity of the resulting logical circuit. It is revealed that using the property of decomposition of the field GF(q k ) into subsets by the power of the primitive element of the field GF(q) allows to reduce the number of multiplication operations. A field convolution method based on the matrix method and the Hankel ‒ Toeplitz transform is proposed, taking into account the field structure, which allows to reduce the total number of logical elements and increase the performance of the designed circuit solution, namely, to reduce the Quine price and the circuit rank. A comparative assessment of the developed method is given. Scientific novelty. For the first time, a method of field convolution of two vectors in the field GF(q k ) is proposed, one of which is presented in the indicator form. Theoretical / Practical significance. A new method for calculating the field convolution based on the decomposition of a multivalued extended Galois field is proposed. Reduction of the total number of logical operations is proved. The proposed solution can be used in the synthesis of encoding and decoding devices for multi-valued (symbolic) codes on binary logic elements.
