New Self-Adaptive Inertial-Like Proximal Point Methods for the Split Common Null Point Problem

Symmetry plays an important role in solving practical problems of applied science, especially in algorithm innovation. In this paper, we propose what we call the self-adaptive inertial-like proximal point algorithms for solving the split common null point problem, which use a new inertial structure to avoid the traditional convergence condition in general inertial methods and avoid computing the norm of the difference between xn and xn−1 before choosing the inertial parameter. In addition, the selection of the step-sizes in the inertial-like proximal point algorithms does not need prior knowledge of operator norms. Numerical experiments are presented to illustrate the performance of the algorithms. The proposed algorithms provide enlightenment for the further development of applied science in order to dig deep into symmetry under the background of technological innovation.

Ebatronics: A New Paradigm for Experimental Laboratory in Applied Science and Technology

In this paper, the main concepts and the preliminary results related to a new approach for creating innovative green laboratory experiences in applied science and technology will be discussed. The term ebatronics is here introduced for the first time in the literature to indicate a kind of experimental laboratory based on the conjunction of wooden recycled materials and microcontroller based devices. In particular, tensegrity based systems are presented. A gallery of prototypes developed by the authors is shown. An intense set of photos will illustrate the real effectiveness of the proposed laboratory project.

Anthropological Analysis in the Perspective of Ontology, Epistemology and Axiology

This library research aims to examine the existence of scientists as an independent science, which has a special method and at the same time the usefulness of anthropology in people's lives. The writing approach method used is a qualitative approach with a bibliographic method. This means that in writing this article the writer collects, selects, analyzes and presents various writings sourced from various literature books and other written sources. Syntheses from various sources are presented and assembled to obtain conclusions. The results of the literature review show that anthropology as an independent science fulfills the requirements for a philosophy of science that must contain elements of ontology, epistemology and axiology. These three elements are found in anthropology because anthropology has certain methods and benefits for many people's lives, which in the subsequent development of anthropology is not only a pure science but also an applied science.

The Pioneers of Russian Computer Graphics

Любое современное приложение трудно представить без элементов компьютерной графики, и может сложиться впечатление, что так было всегда, а машинная графика — это легко и просто. Однако это не так. Russian scientists contributed a lot to the creation of the computer graphics discipline, with their research works still influencing the development of this applied science field.

Homeostatic approach in pedagogy

Статья рассматривает возможность использования общенаучного гомеостатического подхода к решению проблемы оптимизации управления в социальных системах, к которым принадлежит и образование. Гомеостатика, как кибернетическая наука, отвечает на вопросы: чем можно и нужно управлять, имея дело с самоорганизующимися системами; как выбирать оптимальное направление развития из возможного разнообразия; когда можно «отпустить» саморазвивающиеся процессы на «самотек». То есть, гомеостатика является не только теоретической, но и прикладной наукой. Автор считает, что перспективным является применение гомеостатического подхода при проектировании образовательной среды. Такая образовательная среда может приобрести свойства вариативности и адаптивности, стать развивающей и развивающейся, доступной и здоровьесберегающей – решающей основное противоречие образовательного процесса: между характером управления учебой ребенка со стороны системы обучения и характером ее непроизвольной саморегуляции со стороны организма. Это ключевое противоречие, превращаясь в противоположность, выступает основным механизмом дидактогенного ухудшения здоровья школьников. Сформулированы принципы проектирования образовательной среды на основе гомеостатики. The article considers the possibility of using a general scientific homeostatic approach to solving the problem of optimizing management in social systems, to which education belongs. Homeostatics, as a cybernetic science, answers the questions: what can and should be managed when dealing with self-organizing systems; how to choose the optimal direction of development from a possible variety; when it is possible to "let go" of self-developing processes to "take their course". That is, homeostatics is not only a theoretical, but also an applied science. The author believes that the application of the homeostatic approach in the design of the educational environment is promising. Such an educational environment can acquire the properties of variability and adaptability, become developing and developing, accessible and health-saving - solving the main contradiction of the educational process: between the nature of the child's learning management by the learning system and the nature of its involuntary self-regulation by the body. This key contradiction, turning into the opposite, acts as the main mechanism of didactogenic deterioration of the health of schoolchildren. The principles of designing an educational environment based on homeostatics are formulated.

Applied scientific research development in Russian mechanical engineering

Recent vital structural and functional transformations in the national science resulted in decreasing of the social significance of the country’s science and scientific potential. Analysis of statistic data demonstrates noticeable decline of scientific human resources potential and reduction in the number of research organizations. Moreover, government funding becomes the main driving force for development of scientific research in Russia, and the role of Russian business and other sources is of secondary importance. The situation in the national science and lack of funding for research and development in particular caused such negative tendencies as slowing down innovative transformations in the country, outflow of qualified human resources, lower quality of scientific research and its efficiency. Due to low speed of developing advanced research and development the national mechanic engineering is lagging behind in developing new technologies which proves that this sphere of applied science is in unsatisfactory condition. Applied science is developing in two main directions: directive and natural science. The first option presupposes that development of science is influenced mainly by external factors such as material production needs and the state of social and economic sphere of the society. The second direction is based on the determining role of the internal logics of the scientific development and the continuity of scientific ideas between the old and new knowledge. Natural science way of developing applied (technological) science is not explored properly; government support of scientific schools is obviously insufficient. It results in their gradual degradation with rare exceptions. This can also happen to a new trend in mechanic engineering technology – additive manufacturing of products from metals and alloys. If new knowledge is not generated purchasing of foreign equipment becomes inevitable, and such equipment quickly becomes obsolete both morally and physically.

Existence and Nonexistence of Nontrivial Doubly Periodic Solutions of Nonlinear Telegraph Equations

Aims/ Objectives: We discuss the existence and nonexistence of nontrivial nonnegative doubly periodic solutions for nonlinear telegraph equations utt-uxx+cut+a(t,x)u=λf (t,x,u) , where c > 0 is a constant, λ > 0 is a positive parameter, a ∈ C(R2,R+), f ∈ C(R2 × R+,R+), and a, f are 2π-periodic in t and x. The proof is based on a known xed point theorem due to Schauder. In previous articles, a single telegraph equation or telegraph system have been widely studied, but there is relatively little research on nonlinear telegraph equations with a parameter and the nonlinearities are nonnegative. We would like do some research on this topic. We give new conclusions on the existence and nonexistence of nontrivial nonnegative doubly periodic solutions for nonlinear telegraph equations under sublinear assumptions. Study Design: Study on the existence and nonexistence of nontrivial nonnegative doubly periodic solutions. Place and Duration of Study: School of Applied Science, Beijing Information Science & Technology University, September 2020 to present.Methodology: We prove the existence and nonexistence of nontrivial nonnegative doubly periodic solutions by the results of Schauder's xed point theorem. Results: We give new conclusions of existence and nonexistence of nontrivial nonnegative doubly periodic solutions for the equations. Conclusion: We prove the existence and nonexistence of nontrivial nonnegative doubly periodic solutions for nonlinear telegraph equations utt − uxx + cut + a(t, x)u = λf (t, x, u), and give new conclusions.