Implementation of the hamming code on pascalabc.net while studying the theoretical foundations of informatics

Theoretical Foundations of Informatics is a classic branch of discrete mathematics taught to students in various information, mathematical and technical fields. The presentation of the material is mainly carried out using matrix algebra. This article describes a methodology for teaching the topic of error correcting coding to pedagogical university students as part of the course on theoretical foundations of informatics and considers an algorithm for obtaining a Hamming code through a tabular template. An original implementation of the considered algorithm in PascalABC. NET is proposed. When writing code, modern techniques are used: dynamic arrays, slices, safe slices, conditional (ternary) operation, foreach loop, sequence methods, lambda expressions, tuples, documenting comments, etc. The functions of the School module from the official delivery of the PascalABC.NET compiler are used to work with binary numbers. The described methodology has been tested in teaching 4-year students of the pedagogical direction, the profile "Mathematics and Informatics" of the Orenburg State Pedagogical University and has shown its applicability. In addition, it is possible to use the proposed approach for teaching schoolchildren at a specialized level or in extracurricular work.

Enhancing Quantitative and Data Science Education for Graduate Students in Biomedical Science

Substantial guidance is available on undergraduate quantitative training for biologists, including reports focused on biomedical science, but far less attention has been paid to the graduate curriculum. In this setting, we propose an innovative approach to quantitative education that goes beyond recommendations of a course or set of courses or activities. Due to the diversity of quantitative methods, it is infeasible to expect that biomedical PhD students can be exposed to more than a minority of the quantitative concepts and techniques employed in modern biology. We developed a novel prioritization approach in which we mined and analyzed quantitative concepts and skills from publications that faculty in relevant units deemed central to the scientific comprehension of their field. The analysis provides a prioritization of quantitative skills and concepts and could represent an effective method to drive curricular focus based upon program-specific faculty input for biological science programs of all types. Our results highlight the disconnect between typical undergraduate quantitative education for life science students, focused on continuous mathematics, and the concepts and skills in graphics, statistics, and discrete mathematics that arise from priorities established by biomedical science faculty.One Sentence SummaryWe developed a novel approach to prioritize quantitative concepts and methods for inclusion in a graduate biomedical science curriculum based upon approaches included in faculty-identified key publications.

Corrigendum to “The Oresme sequence: The generalization of its matrix form and its hybridization process” [Notes on Number Theory and Discrete Mathematics, Vol. 27, 2021, No. 1, 101–111]

The present Corrigendum contains a list of corrections applicable to the authors’ paper [1].

Building Bridges and Breaking Barriers: OER and Active Learning in Mathematics

This article will discuss how open educational resources and instructional technology are used to support student academic success and continuous faculty pedagogical development, as well as reduce barriers to access at an R1 university. This article uses case examples from two instructors from a Mathematics and Computational Sciences department who are using open educational resources and instructional technology as part of an inclusive active learning pedagogy. The first case study is from an integral calculus course and the second case study is from a discrete mathematics course. The article highlights the role of the educational developer in providing pedagogical and technological support to the faculty. The support the educational developer provides is framed by an inclusive pedagogy that foregrounds access and accessibility. Future considerations provided in the article highlight the need for connections and collaborations supported through a Teaching and Learning Collaboration with an emphasis on active learning, classroom training, and open educational resources to create more pedagogically comprehensive and inclusive learning environments.

Methods and algorithm for calculating the focal parameters of a hollow conical electron beam in high-voltage glow discharge electron guns with a focusing magnetic lens

The algorithm is considered for calculating the focal distance of a hollow conical electron beam generated by high-voltage glow discharge electron guns with magnetic focusing of the beam in the drift region, as well as a method for calculating the diameter of the focal ring and its thickness for such a beam. The proposed algorithm is based on the theory of electron drift in the field of a focusing magnetic lens and is designed using the methods of discrete mathematics and the minimax analysis. The obtained simulation results made it possible to establish the influence of the magnetic lens current on the focal diameter of a hollow conical electron beam and on its focal ring thickness. It is shown that the change in the focal parameters of a hollow conical electron beam can be effectively provided through the regulation of the magnetic lens current.

EDUCATION GAME MATH MENGGUNAKAN ALGORITMA FUZZY SUGENO

The quality of education is very important for success in learning, by using various methods or tools to make it easier for students to understand discrete mathematics material, based on the 23% graduation rate of students who do not complete discrete mathematics at XYZ University, it is necessary to innovate learning applications, use The game education application provides convenience in developing learning media, namely the Digital Math Game, an Android-based mobile application that makes it easy for students to learn discrete mathematics. This application is equipped with several features, namely games to hone the extent to which students' ability to do discrete math exercises randomly, with the reward in the game, the questions are designed to be more difficult and graded, Fuzzy Sugeno algorithm calculates logic to determine rewards based on time variables and problem solving. This application has an AR (Augmented Reality) feature to provide 3D views and videos on discrete mathematics textbooks, 30 algorithm testing with 100% accuracy.

Application of Mathematics in Computer Science

No one escape the learning of mathematics in one way or other, ranging from our kitchen to our journey from earth to Moon or Mars. Mathematics persists everywhere around us. It can be perceived in our garden or park from symmetry of leaves, flowers, fruits etc. and by so many examples of Geometry and symmetry can be seen in nature. God used mathematics in creation of the universe in one form or the other. Likewise, Mathematics is the queen of all sciences. Scientists and researchers can not perfectly accomplish their work without including mathematics. Mathematics is the foundation of Computer Science. If one is eager to learn any arena of Computer Science, first he/she has to imbibe a love of Mathematics that will be supportive for progressive learning of the said subject. Mathematics is friendly for analytical skills needed in Computer Science. Concepts of binary number system, Boolean algebra, Calculus, Discrete mathematics, linear algebra, number theory, and graph theory are the most applicable to the subject of computer science with the emergence of new concepts like machine learning, artificial intelligence, virtual reality and augmented reality.