Application of mathematical modelling methods for acoustic images reconstruction

The article considers the reconstruction of images by Synthetic Aperture Focusing Technique (SAFT). The work compares additive and multiplicative methods for processing signals received from antenna array. We have proven that the multiplicative method gives a better resolution. The study includes the estimation of beam trajectories for antenna arrays using analytical and numerical methods. We have shown that the analytical estimation method allows decreasing the image reconstruction time in case of linear antenna array implementation

Application of mathematical modelling methods for acoustic images reconstruction

The article considers the reconstruction of images by Synthetic Aperture Focusing Technique (SAFT). The work compares additive and multiplicative methods for processing signals received from antenna array. We have proven that the multiplicative method gives a better resolution. The study includes the estimation of beam trajectories for antenna arrays using analytical and numerical methods. We have shown that the analytical estimation method allows decreasing the image reconstruction time in case of linear antenna array implementation

The criteria for establishing the boundaries of historical periods of the development of the Russian language

Проблема установления четких границ на линии смен синхроний при диахроническом описании языка является малоизученной и потому актуальной. Открытым также остается вопрос относительно хронологической привязки многих процессов, происходивших в истории русского языка. В центре статьи стоит разбор хронологических рамок современного русского языка и критериев их объективного выделения, существующих на современном этапе развития языкознания. Рассматриваются истоки развития русского языка из общеиндоевропейского источника, которое происходило путем закономерной и последовательной смены ряда фаз конвергенций и дивергенций. Автором статьи дан краткий обзор истории указанного вопроса, описаны основные критерии, существующие для выделения наиболее эффективных принципов деления истории языка по периодам. Изложены собственные предложения относительно принципов выявления границ новых синхроний и их пиков с учетом факторов, являющихся результатом влияния ряда совокупных причин как внешнего, экстралингвистического, характера, так и внутреннего, связанного с механизмом устройства самой системы . The problem of establishing clear boundaries on the synchrony shifts line in the diachronic description of the language is poorly understood and therefore relevant; also there is an open question regarding the chronological binding, which occurred in the history of the Russian language changes. In the center of the article there is the question of the chronological framework of the modern Russian language and the objective criteria for their allocation, existing at the present stage of development of linguistics. The question is raised concerning the origins of the development of the Russian language from Indo-European language, the development of which was done by a logical and sequential progression of phases of convergence and divergence. The author of the article provides a brief overview of the history of the matter in question, describes the basic criteria existing for the allocation of the most effective principles of the division of language history by period. The author also sets out her own proposals on the principles for the identification of the borders of new synchrony and their peaks, taking into account the factors resulting from the influence of a number of cumulative reasons of both external (extra-linguistic) and internal character, associated with the mechanism of the device of the system of language