scholarly journals IMPLEMENTATION OF THE ADVANCED LEARNING IN THE PROCESS OF FUNDAMENTAL MATHEMATICAL TRAINING OF BACHELORS IN THE FIELD OF ELECTRONICS AND TELECOMMUNICATION

2021 ◽  
Vol 1 (2) ◽  
pp. 81-87
Author(s):  
ALYONA ALYOA KOLOMIETS
Keyword(s):  
Linear Equations ◽  
Variational Calculus ◽  
Variable Coefficients ◽  
Mathematical Methods ◽  
First Semester ◽  
Technical Developments ◽  
Analysis And Synthesis ◽  
Norm Operator ◽  
The Moment ◽  
Independent Tasks

The article substantiates the expediency of the implementation of the advanced learning in the process of fundamental mathematical training of bachelors in the field of electronics and telecommunications. At the moment, the field requires mandatory (deep) knowledge of the main classical sections of mathematics, it is also important to acquaint students in higher mathematics with elements of modern mathematical theories, concepts that allow learners to better understand special courses in mathematics and relevant special disciplines. materials of mathematics, which are used in the modern mathematical models of technical developments. The aim of the article is to reveal the approaches to the concept of the advanced learning in the process of fundamental mathematical training of future bachelors in the field of electronics and telecommunications.The main methods that were implemented in the study of the problem of advanced learning were the analysis and synthesis of the scientific sources on the selected problem, observation, implementation of projects and evaluation of their results. It is offered (from the first semester) to introduce generalized concepts (norm, operator, etc.) in time, to acquaint with ideas of variational calculus, functional analysis, mathematical methods of research of linear equations with variable coefficients, theory of stochastic approximation, mathematical modelling. Then the future specialist will be able to comprehend the objects, which have been already developed by mathematicians but have not been used yet. Thus, a difficult topic or concept can be considered in advance in some connection with the currently studied material. For example, during the study of a function and the construction of its graph, along with the asymptote, students can be introduced to the approximation of the function, the concepts of interpolation and approximation. It is expedient to acquaint students with these problems more deeply during performance of independent tasks (consultations, the abstract, the report at conference, etc.).

scholarly journals Tension devices: mathematical modeling and applications in water transport

2021 ◽  
Vol 2131 (3) ◽  
pp. 032106
Author(s):  
R Fokin ◽  
M Abissova ◽  
A Atoyan
Keyword(s):  
Water Transport ◽  
Linear Equations ◽  
Analytical Calculation ◽  
Low Noise ◽  
Mathematical Methods ◽  
Conservation Of Energy ◽  
Ship Management ◽  
Systems Of Linear Equations ◽  
The Subject ◽  
The Moment

Abstract Tension devices -are throwing devices, the action of which is based on the elastic tension of the plates (shoulders), in fact, these are bows and crossbows. Currently, various types of bows and crossbows controlled by a single shooter are widely used in hunting and sports. In the ancient World, high-power crossbows were used as artillery, served by several warriors: ballistae, scorpions and others. In the paper, bows and crossbows of all currently common types are modeled using mathematical methods. This model, which is the subject of this paper, differs from similar ones, which actually model only traditional English bows. All these models have the main purpose of analytical calculation of the speed of the arrow at the moment of its separation from the bowstring. Our model uses the law of conservation of energy, considering only the initial and final moments of acceleration of the arrow. It identifies 2-4 implicit indicators that fully describe each type of tension devices. To obtain input data, 2-3 experimental shots are made with 1-2 parameters measured each time. As a result, the calculations are reduced to solving systems of linear equations and to calculations using formulas. The paper offers 3 areas of application of tension devices on water transport, firstly, ship management and its operational repair (for this purpose, analogues of ancient powerful crossbows are relevant), secondly, protection of the ship, cargo, anti-terrorism, and thirdly, physical education and sports for the crew and passengers. The use is due to their fire safety, power, low noise, a variety of types of projectiles.

scholarly journals TEACHING BIOCHEMISTRY USING EDUCATIONAL GAMES AND GAMIFICATION STRATEGIES

2016 ◽  
Vol 14 ◽  
pp. 7
Author(s):  
Yuri Rafael De Oliveira Silva ◽  
Armando Maciel Toda ◽  
Luciana Pereira Xavier
Keyword(s):  
Metabolic Pathways ◽  
Educational Games ◽  
Low Cost ◽  
Partial Result ◽  
First Semester ◽  
Course Content ◽  
Formal Knowledge ◽  
Learning By Observation ◽  
Educational Role ◽  
The Moment

INTRODUCTION: Biotechnology is a new bachelor degree in UFPA, and has been stablished with excellency in the state of Pará. However, there is the need to promote comprehension and learning in Biochemistry, as well as interdisciplinarity, that is an essential part of biotechnology. OBJECTIVES:  To increase learning and interdisciplinarity, educational games were used as tools. The students were instigated to develop educational games in different topics of energy metabolism. MATERIALS AND METHODS: The games were developed to be used in any teaching environment, since they were made with low-cost and accessible materials. This strategy was applied in three semesters in different Biochemistry classes, between 2012 and 2014. The best games in each class were used in following semesters. DISCUSSION AND RESULTS: Since the first semester, the failing rates dropped 15% compared to the previous semester, in which educational games were not used. An increase in learning (by observation) could be noticed, including comprehension of metabolic pathways and their conections. Twenty games were developed in three semesters, and four of them are still being improved and used in other classes. The participant students answered a questionnaire, in which 47% defined the games as “Relaxing and Instigating”, 33% said the games “Accomplished their didactic and educational role” and 54% said they would recommend the use of these games as a reviewing activity. At the moment, another approach is being used to teach Biochemistry – Gamification, which uses elements found in games, as conflict, cooperation, rules and fun, to improve students’ motivation and engagement. CONCLUSION: As a partial result, there was greater in-class interest and engagement, better comprehension of the course content and the activities gave the students the opportunity to work in groups, to think critically about the themes and to develop opinions based on interdisciplinar and formal knowledge.

Kinematic Analysis and Synthesis of Three-Input, Eight-Bar Mechanisms Driven by Relatively Small Cranks

1992 ◽  
Author(s):  
Kambiz Farhang ◽  
Partha Sarathi Basu
Keyword(s):  
Nonlinear Equations ◽  
Kinematic Analysis ◽  
Linear Equations ◽  
Output Link ◽  
Analysis And Design ◽  
Constraint Equations ◽  
Analysis And Synthesis ◽  
The Mean ◽  
Approximate Equations

Abstract Approximate kinematic equations are developed for the analysis and design of three-input, eight-bar mechanisms driven by relatively small cranks. Application of a method in which an output link is presumed to be comprised of a mean and a perturbational motions, along with the vector loop approach facilitates the derivation of the approximate kinematic equations. The resulting constraint equations are, (i) in the form of a set of four nonlinear equations relating the mean link orientations, and (ii) a set of four linear equations in the unknown perturbations (output link motions). The latter set of equations is solved, symbolically, to obtain the output link motions. The approximate equations are shown to be effective in the synthesis of three-input, small-crank mechanisms.

Statistical-Mathematical Methods Used in Analysis of Trade in Industrial Products

2019 ◽  
Vol 34 ◽  
pp. 315-325
Author(s):  
Tomiță Constantin Vasile ◽  
Luminița Popescu ◽  
Cora Ionela Dăniasă ◽  
Anica Iancu ◽  
Virgil Popescu
Keyword(s):  
Dairy Products ◽  
Economic Importance ◽  
Mathematical Methods ◽  
Close Link ◽  
Human Needs ◽  
Commodity Production ◽  
The People ◽  
Long Time ◽  
Set Up ◽  
The Moment

Dairy products are of great socio-economic importance in Romania today. These products have both nutritional and economic importance. The market is the economic category of commodity production in which it expresses the totality of the sale-purchase acts viewed in an organic unit with the relations it generates and in connection with the space in which it takes place. The market originated a long time ago, being related to the moment when, in order to satisfy their existential needs, "discovered" and increasingly "conscious", the people exchanged between them, respectively collectivities, the surpluses held by each individual - individually or collectively. The exchange, set up as a means of realizing its own interests, has seen various forms and has evolved continuously, being still the foundation of all the economies of the world. The market has grown based on the amplification and diversification of human needs. The satisfaction of these needs is given by the close link between producers and consumers.

scholarly journals THE NONLINEAR MODEL OF BEHAVIOR OF TWO COMPETITIVE FIRMS

2021 ◽  
Vol I (81) ◽  
pp. 115-128
Author(s):  
Bohdan Drin ◽  
◽  
Iryna Drin ◽  
Svitlana Drin ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Mathematical Description ◽  
Information Technologies ◽  
Dynamic Models ◽  
Nonlocal Problem ◽  
Variable Coefficients ◽  
Economic Behavior ◽  
Algebraic Equations ◽  
Mathematical Methods

The practical task of economics lies in applying the methods of substantiating its decisions. For economics, the main method is the modeling of economic phenomena and processes and, above all, mathematical modeling, which has been stipulated by the presence of stable MATHEMATICAL METHODS, MODELS AND INFORMATION TECHNOLOGIES IN ECONOMY Issue I (81), 2021 117 quantitative patterns and the possibility of a formalized description of many economic processes. The economic-mathematical model contains a system of equations of linear and nonlinear units that promote a mathematical description of economic processes and phenomena, consists of a set of variables and parameters and serves to study these processes and control them. Dynamic models of the economy describe it in development, as well as provide a detailed description of technological methods of production. Mathematical description of dynamic models is carried out with the use of a system of differential equations (in models with continuous time), difference equations (in models with discrete time), as well as systems of algebraic equations. It is important that the investigation of various economic issues has led to the development of the mathematical apparatus. In linear algebra, productive matrices are caused by the studies of intersectoral balance, whereas mathematical programming arose in the course of researching the optimal plan for the distribution of limited resources. In a similar way, there emerged the theory of economic indices and econometrics, the theory of production functions and the theory of consumption, the theory of general economic balance and social welfare, the theory of optimal economic growth. The paper under studies deals with the dynamic economic behavior of two competing objects, whose mathematical model is a nonlinear nonlocal problem for a system of ordinary differential equations with variable coefficients and argument deviation. The dynamic mathematical model is based on the assumption that the volume of output of both firms is determined by such factors on which output depends linearly. The model under discussion includes nonlinear factors, which describe the level of distrust of the competitors and depend on the time of observations and production volumes in previous moments, because the latter significantly affect the production activities of the firm. Such mathematical models are called time-delayed models.

scholarly journals Summability of formal solutions for a family of generalized moment integro-differential equations

2021 ◽  
Vol 24 (5) ◽  
pp. 1445-1476
Author(s):  
Alberto Lastra ◽  
Sławomir Michalik ◽  
Maria Suwińska
Keyword(s):  
Differential Equations ◽  
Variable Coefficients ◽  
Time Variable ◽  
High Interest ◽  
The Moment ◽  
Formal Solutions ◽  
Derivatives Of ◽  
Generalized Moment

Abstract Generalized summability results are obtained regarding formal solutions of certain families of linear moment integro-differential equations with time variable coefficients. The main result leans on the knowledg e of the behavior of the moment derivatives of the elements involved in the problem. A refinement of the main result is also provided giving rise to more accurate results which remain valid in wide families of problems of high interest in practice, such as fractional integro-differential equations.

scholarly journals MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA MELALUI MODEL PEMBELAJARAN ROPES (REVIEW, OVERVIEW, PRESENTATION, EXERCISE, SUMMARY)

2020 ◽  
Vol 2 (1) ◽  
pp. 52-63
Author(s):  
Tammara Yuffa ◽  
Lenny Kurniati ◽  
Arie Wahyuni
Keyword(s):  
Action Research ◽  
Linear Equation ◽  
Teacher Performance ◽  
Linear Equations ◽  
Learning Model ◽  
Mathematical Learning ◽  
First Semester ◽  
Learning Mathematics ◽  
The Subject ◽  
Planning Implementation

The learning mathematics to students will be easier to master and understand the concept of linear equation material of one variable through the ROPES learning model. This study aims to determine that with the application of ROPES learning model on linear equation material of one variable can improve students’ learning result, students’ activities, and teachers’ performance. The subject of this study is the students of class VII B in the first semester at MTS Matholiul Ulum Banjaragung, Bangsri, Jepara in 2019/2020. Instruments were tests sheet and questionnaires. The type of this research is a classroom action research with two cycles where each cycle there are two meetings. The stages include planning, implementation, observation and reflection. The results showed an increase in student's ability to solve problems about linear equations of one variable. Based on reflection results in cycles 1 and II, it showed: 1) Students’ learning result is increased, in the cycle I the average result was 64.90 and in cycle II reached 73.18. 2) In cycle I of the first meeting was 59.67% categorized ‘enough’. The second was 6601% categorized ‘good’, and in the cycle II reached 81.15% categorized ‘very good’. 3) Increased teacher performance in the first cycle was 60% categorized medium, the second meeting reached 70% categorized high, and in cycle II reached 80% categorized very high.Kata kunci: Mathematical Learning Result, ROPES Learning Model.

scholarly journals Training of legal specialists in the context of development of collective forms of judicial remedy

2020 ◽  
Vol 48 (6) ◽  
pp. 136-153
Author(s):  
Vladimir V. Yarkov ◽  
◽  
Vladimir V. Dolganichev ◽  
Keyword(s):  
Legal System ◽  
Scientific Research ◽  
Class Action ◽  
Important Place ◽  
Class Actions ◽  
Analysis And Synthesis ◽  
Judicial Remedy ◽  
The Moment ◽  
Effective Remedy ◽  
Judicial Protection

Introduction. One of the collective forms of judicial remedy is a class action. The institution of a class action is a new one for the Russian legal system. Nevertheless, in foreign jurisdictions it has proven as an effective remedy for large groups of persons, providing a higher level of access to judicial protection. At the moment, this institute is only just beginning to develop and being actively used. In this connection, not only issues of scientific understanding of this institute are becoming relevant, but also training of lawyers, including those specializing in the protection of collective interests. Materials and methods. The research methodology consists of general scientific research methods: analysis and synthesis; special methods, including special legal ones: formal legal and comparative legal. Results of the research and their discussion. The paper consists of two large parts. The first part examines issues related to the analysis of existing collective forms of judicial remedy, including in particular joinder of the parties, protection of an indeterminate number of persons, insolvency (bankruptcy), derivative actions, class actions. Particular emphasis is given to the research of the institute of class actions. It is analyzed in terms of access to judicial protection and its significance for the Russian legal system. Based on the conducted analysis, it is concluded that it is necessary to train lawyers specializing in class actions among other issues. Accordingly, issues of teaching of relevant disciplines and parts of courses devoted to the use of class action tools are examined in the second part of the paper. In particular, this part of the paper is devoted to the issues of teaching methods including traditional and modern methodologies and information technology. Conclusions. Based on the results of the research and their discussion, the authors come to a conclusion that a class action occupies a very important place in the system of collective judicial remedies. This fact determines not only perspectivity of scientific research in this area, but also training of relevant specialists in the field of protection of rights and legal interests of numerous groups of persons.

On the Solution of the Numerical Simultaneous Equations Arising in the Analysis of Redundant Structures

1945 ◽  
Vol 49 (411) ◽  
pp. 104-111
Author(s):  
F. J. Turton
Keyword(s):  
Strain Energy ◽  
Linear Equations ◽  
Simultaneous Equations ◽  
Distribution Method ◽  
Energy Applications ◽  
Moment Distribution ◽  
Simultaneous Linear Equations ◽  
Moment Distribution Method ◽  
Mathematical Accuracy ◽  
The Moment

The application of strain energy or slope-deflection methods in the analysis of redundant structures leads to a number of simultaneous linear equations with numerical coefficients; the equations may be obtained in such order that each successive equation contains one new unknown, until all the unknowns are so included. This is the only condition essential for the method to be described in the present paper, but the labour is much reduced in slope-deflection and strain energy applications by the fact that most (or all) of the equations contain very few of the unknowns. The method to be given reduces the solving of these equations to a column of successive evaluations, followed by the solution, by algebraic methods, of a small number of simultaneous equations; and a final column of evaluations. In the remaining paragraphs a number of problems are examined to show how the equations may be obtained in suitable sequence for the method to apply. Following an application to the determination of secondary stresses, the operations involved in the moment-distribution method and in this method are compared. A numerical example is worked out in the simple case of §2, and it is shown how any order of mathematical accuracy in the roots may be ensured, provided that sufficient figures have been retained to permit that accuracy.

Dapsone is not a Pharmacodynamic Lead Compound for its Aryl Derivatives

2020 ◽  
Vol 16 (3) ◽  
pp. 327-339
Author(s):  
Thomas Scior ◽  
Hassan H. Abdallah ◽  
Kenia Salvador-Atonal ◽  
Stefan Laufer
Keyword(s):  
Linear Equations ◽  
3D Qsar ◽  
Ligand Docking ◽  
Activity Data ◽  
Short Side ◽  
Dihydropteroate Synthase ◽  
Higher Dimensional ◽  
Binding Enthalpy ◽  
The Moment ◽  
2D And 3D

Background: The relatedness between the linear equations of thermodynamics and QSAR was studied thanks to the recently elucidated crystal structure complexes between sulfonamide pterin conjugates and dihydropteroate synthase (DHPS) together with a published set of thirty- six synthetic dapsone derivatives with their reported entropy-driven activity data. Only a few congeners were slightly better than dapsone. Objective : Our study aimed at demonstrating the applicability of thermodynamic QSAR and to shed light on the mechanistic aspects of sulfone binding to DHPS. Methods: To this end ligand docking to DHPS, quantum mechanical properties, 2D- and 3D-QSAR as well as Principle Component Analysis (PCA) were carried out. Results: The short aryl substituents of the docked pterin-sulfa conjugates were outward oriented into the solvent space without interacting with target residues which explains why binding enthalpy (ΔH) did not correlate with potency. PCA revealed how chemically informative descriptors are evenly loaded on the first three PCs (interpreted as ΔG, ΔH and ΔS), while chemically cryptic ones reflected higher dimensional (complex) loadings. Conclusions: It is safe to utter that synthesis efforts to introduce short side chains for aryl derivatization of the dapsone scaffold have failed in the past. On theoretical grounds we provide computed evidence why dapsone is not a pharmacodynamic lead for drug profiling because enthalpic terms do not change significantly at the moment of ligand binding to target.

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