Eurasian Journal of Physics,Chemistry and Mathematics

Decision Making With Fuzzy Parameters When Modeling Preferences In Biotechnological Systems

2024-12-11T17:00:25+00:00

The modeling of preferences in biotechnological systems when making decisions with fuzzy parameters was carried out. In this case, information about the object with the help of the decision maker is described in the form of a membership function that takes its values on a set of non-negative numbers. Three groups of preference relation models are considered, such as: clear preference relations, fuzzy preference relations, linguistic preference relations.

The Role Of Interesting Problems In Teaching Students Mathematics

2024-12-15T13:42:25+00:00

In this article, the role of interesting tasks in teaching students mathematical operations in mathematics lessons is to stimulate at least a slight interest in mathematics among students. As a result, the level of students' mathematical knowledge increases, and they begin to study all topics of mathematics more deeply

Teaching The Basics Of The Internet Of Things In A Distance Format

2024-12-20T06:57:29+00:00

The article considers the experience of teaching the basics of the Internet of things in a distance format. The authors describe the chosen approach, the tools used, and the learning outcomes. Simulators such as Wokwi have been used to create virtual models of IoT devices and systems. The process of creating and debugging projects, as well as setting up automation scripts using the Google Colab cloud platform, is described. In conclusion, the authors summarize the results of the experiment and give recommendations for organizing IoT distance learning.

Specific Vibration Of A FluidConducting Toroidal Shell

2024-12-26T07:12:11+00:00

In this work, the problem of specific vibration of the fluid-conducting toroidal shell is solved. The object of the research is to evaluate the ideal fluid and the composite toroidal shell with rheagogic properties, their characteristic (or special) vibrations and dynamic characteristics. Research methods. The integral differential equations with eigenvalues are reduced to the system of ordinary differential equations. To solve these equations, freezing method, separation of variables method, Muller's method, and Godunov's orthogonal projection methods were used. The reliability of the obtained results is based on the correct formulation of the spectral limit problem, the rigor of the derived mathematical expressions, the use of based solution methods and the evaluation of the accuracy of the solutions, as well as comparisons with the solutions of other mathematical

Formation Of Methodological Components For Solving NonStandard Problems In Mathematics

2024-12-26T07:14:41+00:00

Below in this article, an opinion is expressed about the necessary, targeted introduction of methodological innovations aimed at solving non-standard problems on the topic of mathematics “Pythagorean Theorem” among students of general secondary education, special and presidential schools.

Limit calculation technology using linear substitutions

2025-01-13T07:27:28+00:00

The article discusses the issues of simplifying the calculation of some non-standard sequences and limits of functions using linear substitutions, lemmas, and theorems.

Features Of Optical And MagnetoOptical Spectra Of Rare-Earth Ions Ho3+ And Tb3+ In Garnet Crystals

2025-01-07T13:44:05+00:00

The article is devoted to the analysis of the results of experimental and theoretical studies of the relationship between magneto-optical and optical-magnetic effects with the features of the Stark structure of the energy spectra of non-Kramers RE ions in garnet crystals.

Numerical Range Of The Finite Rank Fredholm Integral Operator

2025-01-13T08:00:48+00:00

In the present paper we consider the Fredholm integral operator T.

Ordered Statistics And Their Importance In Finding The Distribution Of Variation Series Terms

2025-01-13T07:32:52+00:00

Ordinal statistics play an important role in mathematical statistics. In many cases, ordinal statistics are used as estimates in problems of estimating unknown parameters. In order to check the properties of these estimates and to assess their error, it is necessary to know the distributions of ordinal statistics. Therefore, the study of ordinal statistics and their distributions is of great importance. This qualification thesis is devoted to these issues.