Mathematical Support Research Articles

Assessment of the impact of composite mixtures on the quality of new meat products

The object of the study of the present work is to establish the dependence of the ratios of recipe components and the parameters of production of a new type of meat product. The solution of the problem of creating a model formulation of a meat product containing a functional composite mixture with a significant content of dietary fiber is presented. The study was aimed at creating mathematical support, which can be used as a basis in assessing the component composition and parameters of preparing meat semi-finished products with specified structural and technological characteristics. During the work, peculiarities of the process of preparation of meat semi-finished products using a composite mixture of non-traditional vegetable raw materials were revealed. The mathematical model was developed, reflecting dependence of quality indices of finished meat semi-finished products on quantity of composite components in formula and conditions of the preparation process. Optimal dosages of composite mixture and values of preparation parameters are determined. A comprehensive approach was used to study the mechanisms of formation of structural and technological effects in ready-made meat systems under different conditions of their production process. The main result of the work is a model describing nonlinear dependencies of the structural parameters of the meat semi-finished product (moisture binding capacity and moisture retaining capacity), technological indices (mince yield and mince color) on the production process conditions (temperature). The authors have analysed dosages of the components of the composite mixture introduced in order to improve not only the physical properties of the meat product, but also the macro- and micronutrients enriching it.

Technological Explorations in the Move to Online Mathematics Support

Due to Covid-19, mathematics support at Maynooth University transitioned from in-person to online over a very short period in March 2020. This paper provides a brief description of the technologies used by six tutors to facilitate this move. We outline why the tutors picked these technologies and how they used them. We also consider the issues tutors wanted to resolve and reflect on the outcomes of their experiences.

A history of the development of the mathematics and statistics support community in the United Kingdom. Part 1: From alpha to sigma

In terms of the history of mathematics higher education, mathematics and statistics support (MSS) is a very recent development, existing as a formal feature for less than 50 years. However, in this short time, MSS has displayed its own characteristics. A particularly notable feature of MSS in the United Kingdom (and in other countries) has been the way in which practitioners have collaborated with each other, almost from the outset. This collaboration has led to the creation of a community (the sigma network) with a written constitution and formal membership. This two-part article traces the history of the development of the MSS community in the UK from its earliest incarnations to the present day. The first part of the article reviews the period from the early 1990s to 2005 during which time the key events were the rise and demise of the Mathematics Support Association and the creation of sigma, Centre of Excellence in University-wide Mathematics and Statistics Support.

A trial of resources to support students with Dyslexia

In this paper we report on a pilot of resources to support students with dyslexia conducted at a university in Ireland. We give brief background to the development of these resources and describe the steps taken to pilot them in a mathematics support centre. We outline the feedback received from tutors and students, and close with observations on how the pilot outcomes may influence the future implementation of these and other similar resources.

ЕКСПРЕС-АНАЛІЗ ВПЛИВУ ІННОВАЦІЙНИХ РІШЕНЬ МЕХАНІЗМІВ НА НАДІЙНІСТЬ ШКАРПЕТКОВИХ АВТОМАТІВ

Purpose: development of a methodology for operational assessment of the influence of innovative solutions to the technical and operational characteristics of individual mechanisms and systems on the reliability of the sock automatic machine on a posteriori information about failures in production.Methodology: the method of search, description, analogies and analysis of information is used to audit the set of possible solutions to the subject of research, the basics of reliability theory, methods for assessing reliability indicators based on experimental data, matrix theory, elements of numerical methods and methodology of a posteriori reliability analysis of structurally complex technical systems. Findings: the calculation algorithm and mathematical support for operational assessment of influence of technical and operational changes of one of mechanisms on reliability of the sock automatic machine as a whole in the conditions of uncertainty of the information about failures and sources of its receipt are presented. The advantages of the proposed approach in comparison with the traditional one are shown, which allows to reduce the design duration while ensuring the required quality and minimizing costs by limiting tests and calculations. A numerical estimate of the degree of influence on the reliability of the sock automatic machine of changes in the design of the knitting mechanism is obtained. It is shown that the increase in the average failure time to 24.82 hours, when changing the technical characteristics of the knitting mechanism leads to an increase in this indicator for the machine as a whole to 1.24 hours. Originality: it is the further development of the theory and methodology of reliability analysis of sock automatic machines at the stages of design or modernization in cases of controlled variety of options for innovative mechanisms with limited information about failures and while maintaining functional and structural relationships. Practical value: the method of modeling the reliability of the sock automatic machine according to the innovative solutions of its mechanisms is proposed, which minimizes the costs of additional tests and calculations. The results of the above concept of the analysis of the reliability of the machine confirmed the sufficient accuracy of the calculations at the stage before the design preparation, which allows it to be used for other knitting machines.

Возможности совершенствования обеспечения автоматизированного управления при подготовке водителей транспортных средств

Automated control is a combination of information, technical and mathematical support and a functional set of programs that automate certain control functions. Most modern vehicle manufacturers strive to improve their products by creating autopilots that will help not only to avoid serious road accidents, but also save human lives. The article describes the advantages and disadvantages of the technology of unmanned transport, as well as a new method of training drivers and candidates for drivers of vehicles. This method will combine using artificial intelligence and theoretical and practical training. The new method involves the acquisition of management skills, which will help reducing the risk of road accidents involving drivers with less than 2 years of experience in driving vehicles.

Issues of creation of intelligent information and measurement systems for control of parameters of physical and chemical values with required accuracy

The article considers and researches the issues of creation and improvement of intelligent information and measurement systems for control of parameters of physicochemical values. The issues of metrological analysis of the corresponding mathematical support and mathematical models of objects, conditions, procedures and measuring instruments and evaluation algorithms were analyzed characteristics of uncertainty of measurement results and metrological characteristics of measuring instruments.

The Efficacy of Teaching Advanced Forms of Patterning to Kindergartners

This project tested the effects of adding instruction of trios of children in patterning, mathematics, early literacy, or social studies to ongoing instruction in kindergartens. Children were randomly assigned to trios which were randomly assigned to one of four kinds of instruction. A quarter of the trios received patterning instruction with a mixture of repeating and growing patterns. Another quarter of the trios were taught number recognition, number order, counting, comparing quantities and related early mathematics. Another quarter were taught letter recognition and sounds, simple words, and other subject matter in early literacy. The remaining quarter of the trios were taught social studies, including recognition of important figures in history and important city and federal services. The children taught patterning outscored the others on a test of patterning, but there were no other significant differences. Implications for patterning instruction as a support for early mathematics or literacy were discussed.

Management of the design and construction process of a thermal power plant under conditions of permafrost instability

The key issues of the process of the design and construction of a thermal power plant and the life cycle management of a thermal power plant under conditions of permafrost instability are considered. The article aims to develop information, mathematical and software support for the design and construction process supervising and testing of construction objects of a thermal power plant and life cycle management of a thermal power plant under conditions of permafrost instability. The following tasks arising in the process of achieving the given goal are presented: to study the characteristics of the constructed thermal power plant; to present the design and construction process of a thermal power plant in the form of an alternative graph; to identify alternatives and risks in the life cycle management system; to develop an investment project for a thermal power plant located in the Arctic region of the Russian Federation and to choose an effective option for the project implementation. It is shown that the design and implementation of projects for the construction of thermal power plants under conditions of instability of permafrost is characterized by the complexity of planning, large costs and a large number of operations. The practical significance of the work is determined by the possibility to apply the presented procedure for managing the design and construction process of a thermal power plant under conditions of permafrost instability when it is necessary to construct new thermal power plants in the Arctic region of the Russian Federation.

DBScan and WrapDBScan methods applying for intellectual variance analysis in employee’s moving

This article discusses the development of mathematical support and software for detecting anomalous behavior of users based on biometric characteristics of their behavior analysis. One of the challenges in intelligent UBA systems is acquisition of useful information from a large volumes of unstructured, unmatched data. Methods and algorithms of intelligent data processing and machine learning used in UBA/DSS systems help to work on a task of solving problems of data analysis of different directivities. It is proposed an application of machine learning methods in implementation of mobile UBA system. There was formed the list of the most significant factors submitted to the input of the analyzing methods during the study. Two approaches of detecting abnormal user behavior have been proposed. The application of machine learning techniques in intelligent UBA systems will make it possible to predict information risks and insider excfiltration of these organizations in advance.

Розробка математичної моделі керування батареями статичних конденсаторів з огляду її реалізації в мікропроцесорній системі

The basic requirements to the mathematical support of the microprocessor control system of static capacitor batteries in the consumer power supply system are formulated. A mathematical model has been developed that allows deciding on the activation of individual sections of controlled static capacitor batteries, which is designed to compensate for reactive loads and which implements the requirements of the energy supply company in the modes of maximum and minimum loads and hours not controlled by the power system. The model allows you to make a decision that will provide the required voltage level in the connection node of the static capacitor batteries (if there is such a technical possibility). The mathematical model is linear and belongs to the class of integers. The latter is necessary due to the fact that the power of the static capacitor batteries is collected from individual sections. The objective function of the mathematical model describes the reactive power of the power input. These capabilities, in terms of the impact on the electrical mode, are provided by a single limitation of the model, which significantly simplifies the model itself. The synthesis of the mathematical model is performed in such a way that when calculating control solutions it is possible to avoid the need to find a reference solution in its simplex analysis by the method of linear programming or to solve the problem by the method of dynamic programming. In both cases, it is possible to simplify the algorithm for finding the optimal solution. The paper presents the results of a study that substantiates the method of analysis of the developed mathematical model, and which was conducted by comparing the computational efficiency for the conditions of the same problem. The problem was solved by the method of dynamic programming and simplex by the method of linear programming. The final results of the solution completely coincide. The obtained controlled solutions are implemented with a minimum number of switchings. This property of the mathematical model is proved by a concrete example and will reduce the negative impact on the contact system of switching devices.

Model of auxiliary identification and technical diagnosis of space vehicles, rockets-rockets, running blocks with the function of error recognition of typical solutions

Problem statement. The concept of solving problems of identification and technical diagnostics of spacecraft (SC), launch vehicles (LV), upper stages (RB) under conditions of imperfect models and methods of their identification with a priori uncertainty of statistical relationships of controlled parameters is proposed. Goal. Increasing the reliability of technical diagnostics of spacecraft, launch vehicles and missile launchers under conditions of imperfect models and methods of their identification under destructive influences. Results. A commutative diagram of extended technical diagnostics of complex objects of rocket and space technology (SFBT), as well as a model of augmented identification and technical diagnosis of SFBT as a set of interrelated mathematical models of systems of an object and an object as a whole, control of their technical state, search for the location and causes of malfunctions, assuming the detection of signs of erroneous decisions of typical technical diagnostics and increasing its reliability in case of malfunctions. Practical significance. The idea of RCBT augmented identification and technical diagnostics of the RCBT with the function of recognizing errors of standard solutions is proposed as a basis for creating special software and mathematical support for standard and promising automated test complexes for the preparation of spacecraft, launch vehicles, RB during factory tests, tests at technical and launch complexes, as well as means spacecraft flight control centers during flight design tests and routine control.

АЛГОРИТМ ПОИСКА ОБЛАСТИ СКАНИРОВАНИЯ СОЛНЕЧНОГО ЭЛЕМЕНТА ДЛЯ ДИАГНОСТИКИ ЕГО ЭФФЕКТИВНОСТИ

The article deals with the developed method for diagnosing photo scanning of solar cells using a monitor screen and a personal computer connected to it. The photo-scanning method can be used as quality control in the technological chain of semiconductor devices. The method comprises hardware and software. The hardware part is used for obtaining photoresponse in form of voltage. The software part ensures receiving, processing, storing and visualizing of data. The proposed device has a problem of entering scanning area of the solar cells. This problem is revealed at stage of element positioning in the diagnostic process. The defect is eliminated by introducing a software and mathematical support for searching sensitive area of an element. The algorithm of the scanning area search scanning is a process of exposure light spot in form of rows and columns. Photovoltage values in these areas are compared with the value of insensitivity limit. As a result, the program receives illumination area of the the solar cell effective region. The algorithm also increases the diagnostic speed in case of complete loss of efficiency in a some area of

Shooting Simulator «Inhibitor»: Mathematical Support for Subsonic Weapon Ballistics

The mathematical support for calculation of external ballistics for subsonic weapons is described taking into account external factors for the tactical optical-electronic simulator for small arms "Inhibitor" developed at the Institute of mechanics UdmFRC UB RAS and at Computer facilities department of Kalashnikov ISTU jointly with JSC «Kalashnikov» Concern». The tactical and technical assignment is given for ballistic calculation of the trajectory and point of hit of subsonic simulators of PM weapon and GP-25 with the laser emitter of the targeting point taking into account external factors: position of the sighting bar of all types of sights (mechanical, optical, night) with the procedure of their preliminary sighting (transformation of coordinates of the laser spot into coordinates of the visual targeting point), features of the mounted trajectories of the GP-25 (air pressure drop with the height of the trajectory), air temperature and pressure, wind force, ballistic scattering minus the hardware error of the sighting point recorder (geometric subtraction of independent random errors). Mathematical models of external ballistics implemented in the software relying on the aiming angle of the weapon simulator, the initial speed and ballistic coefficient of various types of ammunition in real time in the simulator coordinate system make up a ballistic trajectory in order to solve the “meeting problem”. Results of software tests for the error in the calculation of ballistic trajectory characteristics are given. It was concluded that further research and development of electronic shooting simulators were promising thanks to the improvement of computing tools and the development of software libraries in order to increase the accuracy of simulating external ballistics of simulators taking into account many external factors, expand functional networks and reduce cost and, therefore, increase competitiveness.

On the design of the automated monitoring system of waste disposal objects with the application of earth remote sensing technologies

Currently, geographic information systems have taken strong positions in economics, politics and in almost all spheres of human activity. The result of human activity in urbanized areas is the emergence and further spread of unauthorized landfills and industrial waste. In order to timely intervene and stop the spread of foci of infection and changes in the soil composition, it is necessary to have an automated system for monitoring the disposal facilities and industrial waste. The purpose of the work is to design a model of an automated system for monitoring waste disposal sites, including industrial sites, using remote sensing technologies. General research methodology: The paper uses modern methods of information systems design, using the theory of databases, data warehouses, and geographic bases data. Scientific novelty: The paper suggests a model of an automated space system monitoring for the presence of waste disposal facilities. A general methodology for constructing a geo-information model that monitors territories for the presence of waste disposal sites and also a methodology for the development of geodatabase are given. Landfill geo-databases are a structure of attribute and geographic data obtained in an automated mode. An analysis of current perspectives in the creation and operation of such automated geo-information systems is given using specific knowledge in the field of very large, distributed and open data archives. As a realization of theoretical reasoning, the practical part of the formation of software, technical and mathematical support of the remote monitoring system of the waste disposal area (WDA) and industrial waste (IW) landfill is given. In general, the work is survey-research in nature.

МАТЕМАТИЧЕСКОЕ ОБЕСПЕЧЕНИЕ ЭЛЕКТРОННОЙ АППАРАТУРЫ ДЛЯ ОБРАБОТКИ БИОМЕДИЦИНСКИХ СИГНАЛОВ

The authors analyze certain aspects that are common to many medical electronic devices and indicate the main tasks and problems that arise in the design of electronic devices. The issue of improving the efficiency of biomedical signal transducers has been resolved by improving existing transducers taking into account mathematical support and design process algorithms for the implementation of various functions of medical devices. The electrical circuit of an adaptive low-pass filter with real measurement parameters has been modeled using the Electronic Workbench program.

Intellectual Mathematical Support Software and Inner Architecture of LMS MAI CLASS.NET

Intellectual Mathematical Support Software and Inner Architecture of LMS MAI CLASS.NET

Mathematical support to make managerial decisions in the socio-economic systems of public transport enterprises

The structure of the management system of a public transport enterprise is determined by the services of different functional load. Such a structure includes operational and technical and economic blocks. They can function effectively only on the basis of fast and correct managerial decisions concerning the structure of the management system of a public transport enterprise. The relevance of making thoughtful and well-grounded management decisions is dictated by the requirements to take into consideration many both macro- and microeconomic factors. In this regard, the introduction of modern management methods makes it possible to implement the principle «What to do in order to ...». The article is devoted to the mathematical modeling of the processes of a public transport enterprise to support management decisions in the field of effective enterprise planning. Such tasks can be implemented only with a systematic approach to the economic activity of a public transport enterprise and modeling both individual subsystems and the development of the enterprise system as a whole. The solution of the problems posed is proposed on the basis of the group arguments consideration method.

Mathematical modeling and research of heat and moisture transfer processes in porous media

A mathematical model, numerical algorithm, solution, and results of the computational experiment on a computer are developed to predict the process of heat and moisture transfer in porous media, taking into account such factors as the internal heat and moisture release of a porous natural product on the example of raw cotton and its products of hulling, seeds of various crops. It also considers the effect of temperature and moisture content changes in the environment on the storage and drying of porous materials. In this study, the developed mathematical support of the object under research makes it possible to predict the change in temperature and moisture content at arbitrary points of the porous body and serves to prevent the loss of quality and spontaneous combustion of materials under solar radiation and to analyze and make managerial decisions. Based on the method of coordinate-wise splitting, a numerical algorithm for calculating three-dimensional heat and moisture transfer problems in areas of the parallelepiped type is presented. An implicit second-order difference scheme for calculating the required functions is presented. Based on the numerical calculations performed, it was established that moisture and heat transfer and their exchange with the environment occurs in the upper layers of the cotton pile; in the inner layers, there is an increase in temperature and moisture due to the respiration of raw cotton and its seeds, which depends on the degree of moisture of the raw cotton and their products of hulling.

Формализация требований к высокоточным изделиям на этапах технологической подготовки механосборочных производств

The improvement of mathematical and methodical support to realize an enlarged unit of design procedures of the analysis of requirements to the assembly of precision products being a part of a complex approach is considered. It is shown that this ensures the efficient fulfillment of assembly operations on the basis of the tie between a technological preparation of processing and assembly production of precision products.