Randomized matrix computations: Themes and variations

This short course offers a new perspective on randomized algorithms for matrix computations. It explores the distinct ways in which probability can be used to design algorithms for numerical linear algebra. Each design template is illustrated by its application to several computational problems. This treatment establishes conceptual foundations for randomized numerical linear algebra, and it forges links between algorithms that may initially seem unrelated.Comment: 43 pages. Lectures July 3-7, 2023 in Cetraro, Calabria. To appear in CIME Lecture Notes series. v2 with minor correction

On the moral foundations of sustainable development

Main principles of sustainable development must become everyone’s moral code. In view of sustainable development concept and in order to implement it, it is necessary to prepare population in order to avoid countering the required changes. The main principles of sustainable development concept are social attitude, resource base protection and environment protection to secure the future for every country and the entire planet. It requires prepared society with strict moral standards

Institutional challenges and economic agents forming a competitive market environment

© 2015, Mediterranean Center of Social and Educational Research. All rights reserved. Enterprise (organization) as a slice of society on a global scale is the agent of a competitive market environment, selfproduction of which is the heart of its existence. Changes in the institutional environment and social values of the society have led to the convergence of historical organizational forms of enterprise: commercial and non-profit organizations, appearance of modern hybrid forms - environment serving organizations - ESO. They have the characteristics of active businesses and indifferent public organizations and institutions that are differentiated by the method of replenishment of financial resources. In a global economy there is also the transformation of the classical conception of the competition as a clash of opposing economic interests of agents to the antagonistic approach from the point of supercompetition - awareness of the effectiveness of alliances and cooperation of ESO. Integrated business groups - IBG: conglomerates of diversified ESO integrated as outsourced and virtual type of organization, financial industrial groups (FIGs), strategic network, successfully survive in a crisis. The research analyzed the conceptual model of the relationship between the government institutions of management, market structure of the competitive environment, the institutional challenges of ESO’s environment and strategic decisions - competitive traps (patterns) of IBG

Dynamics of Switching Waves in a Nanofluid in a Light Field

The dynamics of the concentration of nanofluids placed in a light field with a Gaussian intensity profile is studied theoretically. The investigation is based on the analytical and numerical solutions of the system of linearized heat conduction and convectiondiffusion equations. The convection-diffusion equation contains terms that correspond both to the Soret effect and to the transfer of nanoparticles, caused by the action of a light field on them (electrostriction). The dependence of the coefficient of thermal conductivity of the medium on the concentration is taken into account. It is shown that under these conditions single travelling waves appear in the medium, the velocity of which depends not only on the thermal physical parameters of the medium, but also on the polarization of the particles. Conditions under which the stratification of the medium is possible are found

Structurally-logical schema dynamics mechanism

Improving the quality of education is the main task of didactics at the present stage of education. General technical disciplines such as "Theoretical mechanics", "Strength of materials", "Theory of mechanisms and machines", "Machine details " are the basis for subsequent special disciplines, providing fundamental training. The purpose of this work is to improve the educational process leading to the formation of required professional competences of the future specialistПовышение качества образования является основной задачей дидактики на современном этапе образования. Общетехнические дисциплины такие, как «Теоретическая механика», «Сопротивление материалов», «Теория механизмов и машин», «Детали машин» составляют основу для последующих специальных дисциплин, обеспечивая фундаментальную общеинженерную подготовку. Целью данной работы является совершенствование учебного процесса, способствующего формированию обязательных профессиональных компетенций будущего специалиста

Guarantee of quality of formation and the formation of the steady professional scopes

For the machine-building profiles of training specialists general technical of disciplines are traditionally the necessary module upon transfer from the natural-science cycle to the pro-fessional. With the development of training programs FGOS-3, and then FGOS-3+ as basis are as-sumed the profile- specialized scopes, which be based on the structural-logical connections of studied disciplines. The authors developed the model, which illustrates step by step shaping of the steady professional scopes of basic disciplines of machine-building profile. According to the developed model the content and the sequence of studying basic disciplines of machine-building profile ensures the quality of formationТрадиционно для машиностроительных профилей подготовки специалистов общетехнические дисциплины являются необходимым модулем при переходе от естественнонаучного цикла к профессиональному. При разработке учебных планов ФГОС-3, а затем и ФГОС-3+ в основу положены профильно-специализированные компетенции, которые базируются на структурно-логических связях изучаемых дисциплин. Авторами разработана модель, иллюстрирующая поэтапное формирование устойчивых профессиональных компетенций основных дисциплин машиностроительного профиля. Согласно разработанной модели содержание и последовательность изучения основных дисциплин машиностроительного профиля обеспечивает качество образовани

Design cam mechanism based information and communication technologies

At the present stage, the widespread introduction of computer technology has become a topical issue of the ability to use innovative methods in professional activities. The aim of this development is the use of innovative teaching methods in the design of mechanisms in the study of technical disciplines of engineering students profile. The authors proposed a method of calculating the polar coordinates of the cam profile , promotes the formation of competencies needed future specialist , namely the opportunity to explore the analytical dependences , the degree of influence of each parameter on the final result , and compare the results to make optimal decisionsНа современном этапе широкого внедрения компьютерных технологий становится актуальным вопрос об умении использовать инновационные методы в профессиональной деятельности. Целью данной разработки является применение инновационных методов обучения в процессе проектирования механизмов при изучении общетехнических дисциплин студентами машиностроительного профиля. Авторами предложена методика расчета полярных координат профиля кулачка, способствующая формированию компетенций, необходимых будущему специалисту, а именно: возможность исследовать аналитические зависимости, степень влияния каждого параметра на конечный результат, сопоставлять результаты и принимать оптимальное решени

DEVELOPING INNOVATIVE METHODS FOR PERFORMING LABORATORY WORK ON GEARS

The main task of didactics is to improve the quality of education, therefore, becomes relevant to the implementation of innovative teaching methods. The objective of this study is to develop methodological materials for performance of laboratory works. The authors have drawn up two programs of the calculation of geometric parameters of gear wheels, based on the optimal combination of traditional teaching and modern computer technologies as a tool of formation of engineering skills.Основной задачей дидактики является повышение качества образования, в связи с чем становится актуальным вопрос о внедрении инновационных методов обучения. Целью данных исследований является разработка методических материалов для выполнения лабораторных работ. Авторами были составлены две программы расчета геометрических параметров зубчатых колес, на основе оптимального сочетания традиционного обучения и современных компьютерных технологий как инструмента формирования инженерных умений и навыков

Identification of Ecologo-geochemical Anomalies in Bed Silt of Regions with Severe Climatic Conditions (on Example of Aykhalsky Mining Complex)

Ecologo-geochemical estimation of bed slit in Aykhalsky mining complex, located in the permafrost zone, is carried out. The unique natural and anthropogenic geoecological factors of ecological environment formation in cryozone districts are give