In Memory of George A. Martynov

Provided information about the deceased Georgy Aleksandrovich Martynov - Doctor of Physical and Mathematical Sciences, Professor, Chief Researcher of the Laboratory of Surface Forces of the A.N. Frumkin Institute of Physical Chemistry and Electrochemistry of the Russian Academy of Sciences, a prominent specialist in the field of the theory of liquid state and surface phenomena: basic biographical data, training at the Faculty of Physics of Lomonosov Moscow State University, work at the Institute of Building Physics, defense of candidate (technical) and doctoral (physical and mathematical) dissertations, authorship of more than two hundred scientific papers, three monographs, membership in academic councils, participation and organization of Russian and international conferences and seminars, editorial staff in scientific journals, leadership of doctoral and master's theses.

High-Temperature Single-Electron Transistors Based on Molecules and Small Nanoparticles.

The material of the defense of the dissertation for the degree of Doctor of Physical and Mathematical Sciences – the first in Russia doctoral dissertation on molecular singe-electronics is presented. The relevance of the development, creation and research of single-electron transistorswith high charge energy and operating temperature for the creation of fundamentally new nanoelectronic devices applicable in wide practice and ensuring breakthrough research in various fields is noted, the necessity of using quantum dots (molecules/nanoparticles) of atomic-molecular scale for this is shown, the formulation of the research problems is formulated, the physical and technological methods of fabrication and analysis used are listed, the main results of the work are presented and their significance for the development of highly sensitive sensing, quantum informatics and quantum metrology is discussed.

ANDREI SERGEEVICH MONIN (AS WE REMEMBER HIM)

This article publishes the memoirs about Andrei Sergeevich Monin – an outstanding scientist in geophysics, oceanologist, public figure, doctor of physical and mathematical sciences (1956), professor (1963), academician of the Russian Academy of Sciences (2000), director of the of the Shirshov Institute of oceanology of RAS in 1965–1987. A.S. Monin was not only a brilliant scientist (theoretician and practitioner), not only a talented leader and organizer of scientific research, which made it possible to bring oceanology in our institute, and in the country as a whole, to a new – higher – level, but also an interesting, outstanding person. Personality with a capital letter. And we, the authors of this article, are proud that we knew Andrei Sergeevich personally and worked with him.

Novel Analysis of Hermite–Hadamard Type Integral Inequalities via Generalized Exponential Type m-Convex Functions

The theory of convexity has a rich and paramount history and has been the interest of intense research for longer than a century in mathematics. It has not just fascinating and profound outcomes in different branches of engineering and mathematical sciences, it also has plenty of uses because of its geometrical interpretation and definition. It also provides numerical quadrature rules and tools for researchers to tackle and solve a wide class of related and unrelated problems. The main focus of this paper is to introduce and explore the concept of a new family of convex functions namely generalized exponential type m-convex functions. Further, to upgrade its numerical significance, we present some of its algebraic properties. Using the newly introduced definition, we investigate the novel version of Hermite–Hadamard type integral inequality. Furthermore, we establish some integral identities, and employing these identities, we present several new Hermite–Hadamard H–H type integral inequalities for generalized exponential type m-convex functions. These new results yield some generalizations of the prior results in the literature.

B.U. RODIONOV’S HYPOTHESIS OF THREADED MATTER AND SOME OF ITS APPLICATIONS

The article contains a brief biography and main directions of scientific activity of the doctor of physical and mathematical sciences, professor, academician of the Russian Academy of Natural Sciences, member of the Russian Philosophical Society Boris Ustinovich Rodionov. A brief overview of ideas related to the threaded matter hypothesis and some of its applications to the analysis of the phenomenology of low energy nuclear reactions, the results of measurements with a fammeter, and the problem of nonlocality is given.

A Survey of Some Recent Developments on Higher Transcendental Functions of Analytic Number Theory and Applied Mathematics

Often referred to as special functions or mathematical functions, the origin of many members of the remarkably vast family of higher transcendental functions can be traced back to such widespread areas as (for example) mathematical physics, analytic number theory and applied mathematical sciences. Here, in this survey-cum-expository review article, we aim at presenting a brief introductory overview and survey of some of the recent developments in the theory of several extensively studied higher transcendental functions and their potential applications. For further reading and researching by those who are interested in pursuing this subject, we have chosen to provide references to various useful monographs and textbooks on the theory and applications of higher transcendental functions. Some operators of fractional calculus, which are associated with higher transcendental functions, together with their applications, have also been considered. Many of the higher transcendental functions, especially those of the hypergeometric type, which we have investigated in this survey-cum-expository review article, are known to display a kind of symmetry in the sense that they remain invariant when the order of the numerator parameters or when the order of the denominator parameters is arbitrarily changed.

Priming Numbas for formative assessment in a first-year mathematics unit

This paper outlines an initiative that involved implementing ‘Numbas’ as a computer-based tool to support mathematics learning. ‘Numbas’ was implemented within the existing learning management system at Queensland University of Technology, where students engaged in formative assessment activities independently and were provided with automated feedback along the way. An initial evaluation was undertaken by learning designers using the ‘Assessment Design Decisions Framework’, and although more rigorous evaluation is underway, results indicate positive outcomes, and appropriate adjustment is likely to be made before rolling it out to other units within the School of Mathematical Sciences. This paper will be of interest to other educators looking for ways to embed independent computer-aided learning of mathematics.

The university teacher: Catalyst of the emotional-technological-ontological logic in the teaching of exact sciences

The aim of the study was to design a theoretical approach to the existing techno-ontological logical emotions of university mathematics teachers working in universities in Ecuador. The research was qualitative. For the selection of the sample, a random selection was carried out under the criterion of intentionality. Twenty (20) students and eight (8) mathematics teachers from different universities participated. For data collection, we used a participatory digital observation guide and an open-ended interview. Three categories emerged from the results: the andragogic retrotopia of being a mathematician, the emotional scar in teacher training and the educational perception of the university student. We conclude with a theoretical approach in which the deficit of professional digital training in mathematical sciences allows the emotional logic of the Ecuadorian teacher to drive him/her to portray an academic being that generates hatred and rejection in the university educational community.