The deterministic AI system under review is an alternative to neural-network-based machine learni... more The deterministic AI system under review is an alternative to neural-network-based machine learning. In its application fields, which are science, technology, engineering, and business, the implementation of rule-based AI systems leads to benefits such as accuracy and correctness of design, and personalization of the process itself and the results. An algorithmic AI suite is based on design and logical imitation models alone, without creating and/or using Big Data and knowledge bases. Excessive complexity of configuration and high design resource capacity, which are inherent in deterministic systems, are balanced by a special methodology. A hierarchical modeling approach gives a quasi-dynamic network effect, symmetric to the analogous effect in neural networks. System performance is improved by deterministic reference training capable of modifying imitation models in online interaction with users. Such training, which serves as an alternative to neural machine learning, can be imple...
Efficiency of application of computer in organization of independent educational activity of stud... more Efficiency of application of computer in organization of independent educational activity of students is examined in the article, didactic functions at implementation of educational aims and tasks, methods of organization of rational educational process, feature of the teaching computer programs.
The last two decades have seen significant growth in e-Learning in many institutions, with the ma... more The last two decades have seen significant growth in e-Learning in many institutions, with the main growth engine being significant development of technologies providing access to information. These technologies have dramatically changed how societies and individuals communicate. The current study examined whether the paradigm of good teaching dimensions customary in the research literature can predict students’ self-efficacy and social-academic climate in e-Learning. For this purpose, 147 students from different academic institutions were sampled and asked to choose one course they had studied online, completing a questionnaire on their experience of the course. The questionnaire was divided into four sub-topics, where at first the participants were asked to answer several demographic questions and the rest of the questions were divided by the research variables as follows: the first group of questions dealt with perceived self-efficacy; the second group dealt with the teaching dim...
The main finding this paper is nontrivial and implicit possibility to use well developed mathemat... more The main finding this paper is nontrivial and implicit possibility to use well developed mathematical theory of differential equations with delays for solving actual engineering problem of a drone autonomous flight. In this paper we describe correct operation of autopilot for supply correct drone flight. There exists noticeable delay in getting information about position and orientation of a drone to autopilot in the presence of vision-based navigation. In spite of this fact, we demonstrate that it is possible to provide stable flight at a constant height in a vertical plane. We describe how to form relevant controlling signal for autopilot in the case of the navigation information delay and provide control parameters for particular case of flight.
This paper surveys results concerning the quantization approach to the Jacobian Conjecture and re... more This paper surveys results concerning the quantization approach to the Jacobian Conjecture and related topics on noncommutative algebras. We start with a brief review of the paper and its motivations. The first section deals with the approximation by tame automorphisms and the Belov–Kontsevich Conjecture. The second section provides quantization proof of Bergman’s centralizer theorem which has not been revisited for almost 50 years and formulates several related centralizer problems. In the third section, we investigate a free algebra analogue of a classical theorem of Białynicki-Birula’s theorem and give a noncommutative version of this famous theorem. Additionally, we consider positive-root torus actions and obtain the linearity property analogous to the Białynicki-Birula theorem. In the last sections, we introduce Feigin’s homomorphisms and we see how they help us in proving our main and fundamental theorems on screening operators and in the construction of our lattice Wn-algebra...
The pandemic affected the most on the student population in the shortest time. The number of stud... more The pandemic affected the most on the student population in the shortest time. The number of students whose studies were discontinued in March 2020 was about 300 million. The number reached to 1.6 billion on April 2020. To provide basic education for the students during the pandemic, many countries transferred to a mandate of distance learning for the education system. Use of different platforms for distance learning has helped reduce learning gaps. The Corona virus has forced educational systems to enter in a mode of digital transformation and to leave physical classrooms. The impact of this situation was felt at every level of the education system, from kindergartens to universities. This situation creates not only challenges, but many opportunities. Learning in the global open space creates new learning environments and the use of new learning materials.A case study was conducted in Israel. Self-prepared questionnaires were given to 123 educators who teach in elementary schools, ...
The deterministic AI system under review is an alternative to neural-network-based machine learni... more The deterministic AI system under review is an alternative to neural-network-based machine learning. In its application fields, which are science, technology, engineering, and business, the implementation of rule-based AI systems leads to benefits such as accuracy and correctness of design, and personalization of the process itself and the results. An algorithmic AI suite is based on design and logical imitation models alone, without creating and/or using Big Data and knowledge bases. Excessive complexity of configuration and high design resource capacity, which are inherent in deterministic systems, are balanced by a special methodology. A hierarchical modeling approach gives a quasi-dynamic network effect, symmetric to the analogous effect in neural networks. System performance is improved by deterministic reference training capable of modifying imitation models in online interaction with users. Such training, which serves as an alternative to neural machine learning, can be imple...
Efficiency of application of computer in organization of independent educational activity of stud... more Efficiency of application of computer in organization of independent educational activity of students is examined in the article, didactic functions at implementation of educational aims and tasks, methods of organization of rational educational process, feature of the teaching computer programs.
The last two decades have seen significant growth in e-Learning in many institutions, with the ma... more The last two decades have seen significant growth in e-Learning in many institutions, with the main growth engine being significant development of technologies providing access to information. These technologies have dramatically changed how societies and individuals communicate. The current study examined whether the paradigm of good teaching dimensions customary in the research literature can predict students’ self-efficacy and social-academic climate in e-Learning. For this purpose, 147 students from different academic institutions were sampled and asked to choose one course they had studied online, completing a questionnaire on their experience of the course. The questionnaire was divided into four sub-topics, where at first the participants were asked to answer several demographic questions and the rest of the questions were divided by the research variables as follows: the first group of questions dealt with perceived self-efficacy; the second group dealt with the teaching dim...
The main finding this paper is nontrivial and implicit possibility to use well developed mathemat... more The main finding this paper is nontrivial and implicit possibility to use well developed mathematical theory of differential equations with delays for solving actual engineering problem of a drone autonomous flight. In this paper we describe correct operation of autopilot for supply correct drone flight. There exists noticeable delay in getting information about position and orientation of a drone to autopilot in the presence of vision-based navigation. In spite of this fact, we demonstrate that it is possible to provide stable flight at a constant height in a vertical plane. We describe how to form relevant controlling signal for autopilot in the case of the navigation information delay and provide control parameters for particular case of flight.
This paper surveys results concerning the quantization approach to the Jacobian Conjecture and re... more This paper surveys results concerning the quantization approach to the Jacobian Conjecture and related topics on noncommutative algebras. We start with a brief review of the paper and its motivations. The first section deals with the approximation by tame automorphisms and the Belov–Kontsevich Conjecture. The second section provides quantization proof of Bergman’s centralizer theorem which has not been revisited for almost 50 years and formulates several related centralizer problems. In the third section, we investigate a free algebra analogue of a classical theorem of Białynicki-Birula’s theorem and give a noncommutative version of this famous theorem. Additionally, we consider positive-root torus actions and obtain the linearity property analogous to the Białynicki-Birula theorem. In the last sections, we introduce Feigin’s homomorphisms and we see how they help us in proving our main and fundamental theorems on screening operators and in the construction of our lattice Wn-algebra...
The pandemic affected the most on the student population in the shortest time. The number of stud... more The pandemic affected the most on the student population in the shortest time. The number of students whose studies were discontinued in March 2020 was about 300 million. The number reached to 1.6 billion on April 2020. To provide basic education for the students during the pandemic, many countries transferred to a mandate of distance learning for the education system. Use of different platforms for distance learning has helped reduce learning gaps. The Corona virus has forced educational systems to enter in a mode of digital transformation and to leave physical classrooms. The impact of this situation was felt at every level of the education system, from kindergartens to universities. This situation creates not only challenges, but many opportunities. Learning in the global open space creates new learning environments and the use of new learning materials.A case study was conducted in Israel. Self-prepared questionnaires were given to 123 educators who teach in elementary schools, ...
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