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1
Zuo, Li, and Fengtai Mei. "Research on Computer Weiqi Game based on Mathematical Model." Journal of Physics: Conference Series 1744, no. 3 (February 1, 2021): 032146. http://dx.doi.org/10.1088/1742-6596/1744/3/032146.
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Krasnobayev, Victor, Alexandr Kuznetsov, Yelyzaveta Kuznetsova, Roman Kochan, and Tomasz Gancarczyk. "Residual classes based mathematical model of the computer system's reliability." Procedia Computer Science 207 (2022): 80–89. http://dx.doi.org/10.1016/j.procs.2022.09.040.
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Grigoriev-Golubev, Vladimir, Natalia Vasileva, and Margarita Volodicheva. "Using the Mathematica package in teaching mathematical disciplines." SHS Web of Conferences 141 (2022): 03001. http://dx.doi.org/10.1051/shsconf/202214103001.
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This article analyzes the capabilities of the Wolfram Mathematica computer system, examines the feasibility of using its tools in the study of mathematical disciplines. The authors propose and demonstrate by examples a methodology for building a training course based on the integration of the methods of the discipline being studied and their implementation in the Mathematica environment. The paper explores the practical significance of including the Mathematica toolkit in the training course, which makes it possible to mathematically model various processes in modern society, demonstrate the solution of mathematically complex problems using the built-in functions of the package, as well as provide visualization of analytically obtained solutions.
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DEL REY, A. MARTIN, and G. RODRIGUEZ SÁNCHEZ. "A DISCRETE MATHEMATICAL MODEL TO SIMULATE MALWARE SPREADING." International Journal of Modern Physics C 23, no. 10 (October 2012): 1250064. http://dx.doi.org/10.1142/s0129183112500647.
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With the advent and worldwide development of Internet, the study and control of malware spreading has become very important. In this sense, some mathematical models to simulate malware propagation have been proposed in the scientific literature, and usually they are based on differential equations exploiting the similarities with mathematical epidemiology. The great majority of these models study the behavior of a particular type of malware called computer worms; indeed, to the best of our knowledge, no model has been proposed to simulate the spreading of a computer virus (the traditional type of malware which differs from computer worms in several aspects). In this sense, the purpose of this work is to introduce a new mathematical model not based on continuous mathematics tools but on discrete ones, to analyze and study the epidemic behavior of computer virus. Specifically, cellular automata are used in order to design such model.
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Xun, Wei, and Guo Ping Cheng. "Distribution Mathematical Model of Logistics Platform Based on Computer Evaluation System." Applied Mechanics and Materials 543-547 (March 2014): 4366–69. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.4366.
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Integrated logistics platform based on the computer ebaluation system. It services for e-commerce businesses on the platform in the way of helping them choosing a better logistics service. In this paper, we explained the business allocation methods on the platform of integrated logistics, and on this basis, to build a business distribution mathematical model that helps make rational choices for enterprise logistics services provided.
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Kalyakulin, Sergey Yu, Vladimir V. Kuzmin, Eduard V. Mitin, Sergey P. Suldin, and Tatiana B. Tyurbeeva. "Developing a Mathematical Model of a Part Based on Graphics System Models." Engineering Technologies and Systems, no. 1 (March 29, 2019): 67–76. http://dx.doi.org/10.15507/2658-4123.029.201901.067-076.
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Introduction. The aim of the work is to develop a mathematical model of a part based on a parametric model of graphic systems. Material and Methods.The review of the status of the question of developing a mathematical model of a part based on graphic systems showed the possibility of controlling the geometric shape of a part through the variables of a parameterized drawing. A proposal was made to use design parameterization in the calculation of the parameters of technological processes in computer-aided design systems. Results. The article establishes links between the design parameters of the part drawing and tabular values of the variables. The revealed relationships between the parameters in the drawing and the variables in the table make it possible to change the geometric shape of the part by changing the values in the variable table, i.e. the drawing is managed through the table. It is proposed to use this system of work with the parametric drawing in computer-aided design systems for calculating the parameters of technological processes. Discussion and Conclusion. The tasks solved in this article allow making a step in increasing the level of automation of parameter calculations in computer-aided design systems. The implementation of the developed methodology for constructing mathematical models of parts based on graphic systems will increase the overall level of automation of developing geometric drawings of parts. The implementation of this technique in computer-aided design systems allows automating the calculation of parameters (cutting modes, time norms, technological dimensions on transitions, etc.).
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Maslyuchenko, Andrey, and Svetlana Senotova. "COMPUTER MODEL OF THE ORBITAL CABLE SYSTEM." Modern Technologies and Scientific and Technological Progress 2020, no. 1 (June 16, 2020): 143–44. http://dx.doi.org/10.36629/2686-9896-2020-1-143-144.
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Meng, Tao. "Computer Aided Design of Architecture Engineering Based on Mathematical Model of AHP." Applied Mechanics and Materials 556-562 (May 2014): 877–80. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.877.
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In this paper we introduced AHP method in bidding management of construction engineering, and use the MATLAB software to establish the bidding computer analysis system. This paper expounds AHP of the construction bidding process, and design AHP of computer bidding management system according to it. In order to verify the applicability of the model in bidding management system, we use MATLAB software to design bidding data analysis and simulation experiment of the construction. Through the calculation we obtain MATLAB visual display window of bid data analysis. At 50 steps, the convergence residual is, which meets the design requirement of accuracy. It provides a theoretical reference for the bidding management of construction process.
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Belov, M. I. "Mathematical model of a screw moldboard plough operation." Traktory i sel hozmashiny 81, no. 6 (June 15, 2014): 23–27. http://dx.doi.org/10.17816/0321-4443-65584.
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Mathematical model, algorithm and computer model of undercutting and turning of soil layer by a screw moldboard of share plough body are presented. These models are based on predetermined soil layer motion law and dynamical interaction between layer and ploughshare, breast and wing of moldboard, surfaces of which are described by unstable functions.
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Hu, Jing. "The Application of Computer Technology in Mathematical Modeling." Journal of Physics: Conference Series 2173, no. 1 (January 1, 2022): 012028. http://dx.doi.org/10.1088/1742-6596/2173/1/012028.
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Abstract Based on the analysis of mathematical modeling, this paper further expounds the application of computer technology in mathematical modeling. The specific role of computer technology mainly includes establishing mathematical modeling by using computer programming and using computer software. At present, the development of mathematical modeling cannot be separated from the support of computer technology. Through the specific analysis of computer technology model formula, the value of computer technology to mathematical modeling is clarified.
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Jiang, Yongfeng, and Yuan Li. "Algorithm-Oriented SIMD Computer Mathematical Model and Its Application." International Journal of Information and Communication Technology Education 18, no. 3 (July 1, 2022): 1–18. http://dx.doi.org/10.4018/ijicte.315743.
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This paper has designed a professional and practical SIMD computer mathematical model based on the SIMD physical machine model combined with the variable addition method. Furthermore, the model is applied in image collection, processing, and display operations, and a SIMD data parallel image processing system is finally established by absorbing the parallel computing advantages of the mathematical model. In addition, the data-parallel image processing algorithm is introduced and the convolutional neural network algorithm is optimized to promote the significant improvement of the main performance such as the accuracy of the application system. The final experimental results have shown that the highest accuracy of the data-parallel image processing algorithm reaches 93.3% and the lowest error rate reaches 0.11%, which proves the superiority of the SIMD computer mathematical model in image processing applications.
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Dahlan, Jarnawi Afgani, Yaya Sukjaya Kusumah, and Mr Heri Sutarno. "PENGEMBANGAN MODEL COMPUTER-BASED E-LEARNING UNTUK MENINGKATKAN KEMAMPUAN HIGH ORDER MATHEMATICAL THINKING SISWA SMA." Jurnal Pengajaran Matematika dan Ilmu Pengetahuan Alam 16, no. 2 (October 1, 2011): 71. http://dx.doi.org/10.18269/jpmipa.v16i2.222.
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The focus of this research is on the development of mathematics teaching and learning activity which is based on the application of computer software. The aim of research is as follows : 1) to identify some mathematics topics which feasible to be presented by computer-based e-learning, 2) design, develop, and implement computer-based e-learning on mathematics, and 3) analyze the impact of computer-based e-learning in the enhancement of SMA students’ high order mathematical thinking. All activity in this research achieved in 2 phases. In the first phase, the following activities are conducted: analysis theoretically topics which are difficult to be delivered by conventional methods, need too many repetitions, need high accuracy, need high speed process, and can be presented more interestingly. In the second phase, the following activities are conducted: designing, developing, and implementing a number of teaching and research instruments; implementing computer-based e-learning on mathematics for SMA students’, and analyzing the impact of computer-based e-learning in the enhancement of SMA students’ high- order mathematical thinking. Key words: computer-based e-learning model, high-order mathematical thinking
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Syafrizal, Agus, Edi Syahputra, and Irvan Irvan. "Differences in Increasing The Ability of Reasoning in Problem Based Learning Model and Computer-Based Group Investigation." Malikussaleh Journal of Mathematics Learning (MJML) 3, no. 2 (October 30, 2020): 51. http://dx.doi.org/10.29103/mjml.v3i2.2422.
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This study was conducted to determine whether there were significant differences between students 'reasoning abilities taught using the PBL model and with the Computer Multimedia Assisted GI, and to determine whether or not there was an influence of interaction between learning models and students' initial abilities on mathematical reasoning abilities . This research is a comparative research with treatment. The population in this study were students of MTs Al-Washliyah 28 Sergai. The variables in this study are mathematical reasoning abilities by collecting data using a questionnaire and tests of mathematical reasoning abilities as well as student achievement tests. The analysis prerequisite test uses the Kolmogorov-Smirnov normality test with a sig (2-tailed) value for the Computer Multimedia Assisted PBL class is 0.200*>0.005 and the sig (2-tailed) value for the computer multimedia-assisted GI class is 0.132>0.005. Hypothesis testing uses 2 path analysis of variance (Anova) with SPSS aids. The results showed that there were significant differences between students' reasoning abilities taught with the PBL and with the Computer Multimedia Assisted GI with a sig value of 0,000<0.05. And there is no effect of interaction between learning models and students' initial abilities on students reasoning abilities with a sig value of 0.175>0.05.
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Kalinin, I. "Computer-based model of asynchronous electric propulsion drive with three stator windings." Transactions of the Krylov State Research Centre 1, no. 395 (March 9, 2021): 132–40. http://dx.doi.org/10.24937/2542-2324-2021-1-395-132-140.
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Object and purpose of research. This paper discusses electric propulsion system of leader icebreaker. Its purpose was to develop mathematical and computer-based model of electric propulsion drive powered by asynchronous motor with three stator windings for further investigation of steady, transitional, asymmetric and emergency operation scenarios of electric power and propulsion system for the leader icebreaker. Materials and methods. Hardware and methods for computer-based simulation of complex engineering structures. Main results. Development of the mathematical model representing asynchronous motor with three windings in phase coordinates. Computational studies on direct startup of 15 MW propulsion motor, as well as on steady and transitional operational conditions of ship electric power system consisting of 36 MW synchronous genset, two-winding transformers and electric propulsion drive with 15 MW asynchronous motor in phase coordinates with three stator windings and three-level frequency converter. Calculation of voltage non-sinusoidality ratio for MSB buses with operation of 15 MW propulsion motor driven by 36 MW synchronous genset. Conclusion. Mathematical model of asynchronous motor suggested in this paper could be used to calculate steady and transitional operation scenarios of marine power systems with frequency-controlled three-winding asynchronous motor, as well as to calculate electromechanical and electromagnetic processes and refine frequency control algorithms. This is especially relevant because each of the asynchronous electric machines used in the electromechanical assemblies of leader icebreaker propulsion motors has three stator windings, and this icebreaker is the first experience of applying a 15 MW marine electric drive.
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TAKAWA, Takeshi, Jun INOUE, and Haruo YAMAMURA. "Computer Control of Electric Arc Furnace Steelmaking Process Based on a Mathematical Model." Tetsu-to-Hagane 74, no. 11 (1988): 2122–29. http://dx.doi.org/10.2355/tetsutohagane1955.74.11_2122.
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Wei, Huixian, and Jia Liu. "Computer Mathematical Modeling Based on the Improved Genetic Algorithm and Mobile Computing." Wireless Communications and Mobile Computing 2021 (December 26, 2021): 1–7. http://dx.doi.org/10.1155/2021/1584435.
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In order to change the problem of data redundancy in a genetic algorithm, this paper proposes a computer mathematical model based on the combination of an improved genetic algorithm and mobile computing. Combined with the least square method, MATLAB software is used to solve the equations, determine the range of parameters, and solve the estimation parameter range and identification problems. The improved genetic algorithm combined with mobile computing and least square method to establish a mathematical model greatly increased the individual search space and increased the operation rate of 90% compared to the basic genetic algorithm or mobile computing. The results show that the improved genetic algorithm and mobile computing have a certain ability to identify the optimal solution and greatly improve the work efficiency.
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Petrenko, Yuri, and Ruslan Posukan. "CRITERIA AND MODEL OF CHOICE OF INDUSTRIAL ROBOT." Bulletin of Kharkov National Automobile and Highway University 1, no. 92 (January 17, 2021): 109. http://dx.doi.org/10.30977/bul.2219-5548.2021.92.0.109.
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Problem. The relevance of the work is to increase the efficiency of robotics in Ukraine based on the development of computer technology for the selection of industrial robots for the enterprise, which will improve the quality of robot selection and increase productivity in all industries. Goal. Substantiate the criteria and develop the mathematical model for the selection of an industrial robot. The proposed mathematical model will allow the development of computer technology for the selection of industrial robots for the enterprise. Methodology. This work gives the analysis of the development of robotics in Ukraine, theoretical material on industrial robots, substantiated the criteria for the selection of industrial robots, the developed mathematical model for the selection of robots. Results. The developed criteria and mathematical model of an industrial robot selection allow making scientifically substantiated decisions on the acquisition of an industrial robot by an enterprise according to many criteria. This will reduce the time and cost of making a decision. Originality. Was received further development of making decision methods according to many criteria an was developed the mathematical model of the industrial robot selection. Practical value. The proposed mathematical model will allow the development of computer technology for the selection of industrial robots for the enterprise. This will reduce spent time and money to choose a robot.
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Hroncová, Darina. "CONSTRUCTION OF EQUATIONS OF MOTION OF MULTIBODY SYSTEMS AND COMPUTER MODELING." TECHNICAL SCIENCES AND TECHNOLOG IES, no. 3(13) (2018): 74–81. http://dx.doi.org/10.25140/2411-5363-2018-3(13)-74-81.
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Urgency of the research. Computer models mean new quality in the knowledge process. Using a computer model, the properties of the subject under investigation can be tested under different operating conditions. By experimenting with a com-puter model, we learn about the modelled object. We can test different machine variants without having to produce and edit prototypes. Target setting. The development of computer technology has expanded the possibility of solving mathematical models and allowed to gradually automate the calculation of mathematical model equations. It is necessary to insert appropriate inputs of the mathematical model and monitor and evaluate the output results through the computer output device The target was to describe the mathematical apparatus required for mathematical modeling and subsequently to compile a model for computer modeling. Actual scientific researches and issues analysis. When formulating a mathematical model for a computer, the laws and the theory we use are always valid under more or less idealized conditions, and operate with fictitious concepts such as, material point, ideal gas, intangible spring, and the like. However, with these simplifications, we describe a realistic phenomenon where the initial assumptions are only met to a certain extent. In order for the results not to be different from the modeled reality, it is to be assumed that a good computer model arises gradually, by verifying and modifying it, which is one of the advantages of MSC Adams. Uninvestigated parts of general matters defining. The question of building a real manipulator model. Based on the above simulation, it is possible to build a real model. The research objective. Using MSC Adams to simulate multiple body systems and verify its suitability for simulating ma-nipulator and robot models. In various versions of the assembled model we can monitor its behavior under different operating conditions. The statement of basic materials. In computer simulation, MSC Adams-View is used to simulate mechanical systems. It has an interactive environment for automated dynamic analysis of parameterized mechanical systems with an arbitrary struc-ture of rigid and flexible bodies with geometric or force joints, in which act gravity, inertia, experimentally designed contact, friction, aerodynamic, hydrodynamic or electromechanical forces and have integrated control, hydraulic, pneumatic or elec-tromechanical circuits. Conclusions. Working with a mathematical model on a computer opens space for specific synthesis of empirical and ana-lytical method of scientific knowledge. Working with the computer model carries the characteristic features of classical experi-mentation. It represents a qualitatively new way of solving tasks that can not be experimented with on a real object. The result is the equivalence of the computer model and the object being investigated with the features and expressions chosen as essen-tial, with accuracy sufficient to the exact purpose.
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Tsai, Ming-Kuan, Jyh-Bin Yang, and Nie-Jia Yau. "DEVELOPING COMPUTER-BASED SCHEDULE DELAY ANALYSIS METHODS BASED ON INFORMATION FLOW ANALYSIS: A CASE STUDY." Journal of Civil Engineering and Management 19, no. 6 (October 24, 2013): 823–35. http://dx.doi.org/10.3846/13923730.2013.801901.
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Schedule analysts often resolve diverse schedule delay problems in construction projects based on their subjective experiences. Although various process-based and mathematical-model schedule delay analysis methods are available for effective schedule delay analysis, these methods require time-consuming manual operation. The use of computer-based schedule delay analysis methods seems to be a solution. However, schedule analysts still have difficulty developing computer-based schedule delay analysis methods. Therefore, this study applies information flow analysis to classify the necessary work to develop computer-based schedule delay analysis methods. In contrast to numerous studies that focus only on computerizing a process-based or a mathematical-model schedule delay analysis method, this study constructs a computer-based method that integrates two process-based schedule delay analysis methods simultaneously. In a tested case study, the delay liability for the project owner and contractor was classified successfully. Importantly, this study provides a useful reference for similar applications in project management.
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Huang, Zhi Qin, Xiao Hui Fan, and Gai Ling Zheng. "The Establishment of Mathematical Model of LED Based on Monte Carlo Method." Key Engineering Materials 480-481 (June 2011): 1571–76. http://dx.doi.org/10.4028/www.scientific.net/kem.480-481.1571.
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Monte Carlo (MC method) of the computer simulation of the traditional forms of light-emitting diode (LED) is used for modeling and simulation. MC method than the method of geometrical optics of the LED is more suitable for complex optical structure on a Computer. MC method, the more accurate numerical solutions can improve the efficiency of LED design that is an effective means of LED design. MC method is with a very clear and unique advantage in the establishment of LED structure model.This paper first introduces the research background and purpose of the LED, then Monte Carlo methods Are outlined, and finally, some mathematical models of LED are given based on Monte Carlo method
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Abimannan, Satheesh, and Kumaravelu R. "A Mathematical Model of HMST Model on Malware Static Analysis." International Journal of Information Security and Privacy 13, no. 2 (April 2019): 86–103. http://dx.doi.org/10.4018/ijisp.2019040106.
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Malware is a malicious software that can contaminate communication devices, where information can be lost, encrypting or deleting the sensitive data, altering or hijacking core computing activities and monitoring a user's computer activity without proper authorization. Analyzing the behavior of any new type of malware, that threatens the security of information is the challenging task. Previous studies and research has used static and dynamic based analysis. Althrough there are various methods to analysis the behaviour of the malware, the innovation of new technology lead to undesirable growth of malware. A procedure to analyze the characteristics and its nature is the need of the day. To mitigate this issue, malware specific procedures need to be evolved by analysing its behaviour. In this article, the authors present a heuristic-based malware static analysis testing (HMST) through a six step process including hash verification, PE structure analysis, packer signature analysis, entropy analysis, antivirus check and string analysis. Heuristic-based malware static analysis (MSA) depends on the six characterstics. The six characteristics sequence is quantified mathematially. Hash verification is presented as a dynamic function, PE structure analysis (PESA) as the functional string, Packer Signature (PS) by functional boundedness, Entropy Analysis (EA) with probability, antivirus check (AC) of the discrete lagorthm-bit representation and string analysis (SA) lies with the comutational complexity. Hence, an optimized string is proposed for transmitting securely. CFF Explorer, BinText, PeID, DIE and VirusTotal are used for analyzing the behavior of the samples in this study.
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Smoljan, Božo, Dario Iljkić, Sunčana Hanza Smokvina, Luciano Gržinić, Milenko Jokić, and Lovro Štic. "An Application of Jominy Test Results in Computer Simulation of Steel Quenching." Materials Science Forum 941 (December 2018): 504–9. http://dx.doi.org/10.4028/www.scientific.net/msf.941.504.
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The research purpose is to upgrade the mathematical modelling and computer simulation of quenching of steel. Based on theoretical analyze of physical processes which exist in quenching systems the mathematical model for steel quenching is established and computer software is developed. The mathematical model of steel quenching is focused on physical phenomena such as heat transfer, phase transformations, mechanical properties and generation of stresses and distortions. Physical properties that were included in the model, such as heat conductivity coefficient, heat capacity and surface heat transfer coefficient were obtained by the inversion method based on Jominy test results. The numerical procedure is based on finite volume method. By the developed algorithm, 3D situation problems such as the quenching of complex cylinders, cones, spheres, etc., can be simulated. The established model of steel quenching can be successfully applied in the practical usage of quenching.
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Nechyporenko, V., V. Salo, P. Litovchenko, L. Grebenik, and L. Ivanova. "EFFECTIVE METHOD OF SELECTING INTERFERENCE FIT BASED ON AUTOMATED COMPUTER MODEL CONSTRUCTION." Collection of scientific works of the National Academyof the National Guard of Ukraine 1, no. 37 (2021): 103–9. http://dx.doi.org/10.33405/2409-7470/2021/1/37/237896.
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The proposed scientific work considers and substantiates an effective method for selecting interference fit on smooth cylindrical surfaces of parts, which can be successfully applied in automated design of fit. Based on the analysis of numerical and analytical research of the results of calculation and design of the considered joints, a flat image of a mathematical model of the area of existence of geometric parameter values in a two-dimensional coordinate system (diameter and working length of the fit) was first obtained. At the next stage of modeling many alternative i-th standard interference fits were built. Within each i-th object centers of grouping rational values of geometric parameters were defined. They are formed by crossing the largest segments of allowable ranges of changing values of diameter and working length in each of the models of sets. The position of such centers is analytically described using the mathematical apparatus of the theory of R-functions. On the considered specific example of this research, the criterion for choosing a rational standard interference fit is formulated depending on the values of geometric parameters. The meaning of this criterion is that within the flat geometric image of the model, the shortest distance is analytically determined - the segment between the points of the grouping centers of the model of set of the �-th fit and the model of the area of existence of values. The effectiveness and advisability of the formulated criterion is illustrated by comparison with other criterions obtained in previous researches of the authors. As a result of the research, it was revealed that the task of choosing a single rational design solution is significantly simplified if several criterions of one of the alternative fits coincide.
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Nechyporenko, V., V. Salo, P. Litovchenko, L. Grebenik, and L. Ivanova. "EFFECTIVE METHOD OF SELECTING INTERFERENCE FIT BASED ON AUTOMATED COMPUTER MODEL CONSTRUCTION." Collection of scientific works of the National Academyof the National Guard of Ukraine 1, no. 37 (2021): 103–9. http://dx.doi.org/10.33405/2409-7470/2021/1/37/237896.
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The proposed scientific work considers and substantiates an effective method for selecting interference fit on smooth cylindrical surfaces of parts, which can be successfully applied in automated design of fit. Based on the analysis of numerical and analytical research of the results of calculation and design of the considered joints, a flat image of a mathematical model of the area of existence of geometric parameter values in a two-dimensional coordinate system (diameter and working length of the fit) was first obtained. At the next stage of modeling many alternative i-th standard interference fits were built. Within each i-th object centers of grouping rational values of geometric parameters were defined. They are formed by crossing the largest segments of allowable ranges of changing values of diameter and working length in each of the models of sets. The position of such centers is analytically described using the mathematical apparatus of the theory of R-functions. On the considered specific example of this research, the criterion for choosing a rational standard interference fit is formulated depending on the values of geometric parameters. The meaning of this criterion is that within the flat geometric image of the model, the shortest distance is analytically determined - the segment between the points of the grouping centers of the model of set of the �-th fit and the model of the area of existence of values. The effectiveness and advisability of the formulated criterion is illustrated by comparison with other criterions obtained in previous researches of the authors. As a result of the research, it was revealed that the task of choosing a single rational design solution is significantly simplified if several criterions of one of the alternative fits coincide.
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Govorkov, Aleksey, Mariya Lavrenteva, and Igor Fokine. "Mathematical modeling of making mechanical engineering products based on an information model." MATEC Web of Conferences 224 (2018): 02022. http://dx.doi.org/10.1051/matecconf/201822402022.
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The paper dwells upon computer-aided mechanical engineering. We herein propose a concept of choosing operations for producing a standard airframe part based on a product image and industrial environment object classifiers. Such industrial environment objects and their inter-relations are described as a set-theoretic model.
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Pickup, G., and VH Chewings. "Mapping and Forecasting Soil Erosion Patterns from Landsat on a Microcomputer-based Image Processing Facility." Rangeland Journal 8, no. 1 (1986): 57. http://dx.doi.org/10.1071/rj9860057.
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The paper summarises recent work in the development and implementation of broad scale conceptual and mathematical models of the soil erosion process in flat arid lands. The conceptual model is based on erosion cell behaviour. Its mathematical counterpart is the simultaneous autoregressive random field model recently developed for image modelling.The data used in the mathematical model are derived by transforming standard Landsat MSS data to produce a soil stability index. Practical application of the methods requires the appropriate computer software and an image processing facility. The erosion modelling routines have therefore been implemented as part of a user- friendly microcomputer based image processing package which is now available commercially. The package runs on an IBM XT or AT computer using a Vectrix graphics board and the hardware includes high resolution display and hard copy facilities. Both hardware and software cost less than $30,000 making it ~ossible to decentralise image processing technology to branch offices of government departments or to agricultural consultants.
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Ormonova, E. "Analysis of Assessing the Reliability Quality of the Software Product Based on the Graphs Theory and Markov Chains." Bulletin of Science and Practice 6, no. 4 (April 15, 2020): 12–17. http://dx.doi.org/10.33619/2414-2948/53/01.
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In this paper, we use graph theory and Markov chain methods to determine the quality of a software product based on a mathematical model. Since modern programming, developing a data structure and creating a mathematical model of a software product, we cannot do without graph theory. As an object of research, the PascalABC programming language is used. We have created a mathematical model of a software product using graph theory. The principles of software quality assessment by methods of graph theory, as well as Markov chains, are developed. Models of probabilistic assessment of the quality of computer programs using the Kolmogorov equations, based on graph theory.
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Zagrevskiy, V., and O. Zagrevskiy. "ANALYTICAL MODEL FOR COMPENSATING MOTION ERROR IN THE ADAPTIVE MOTION CONTROL OF THE BIOMECHANICAL SYSTEM." Human Sport Medicine 19, no. 2 (July 13, 2019): 79–85. http://dx.doi.org/10.14529/hsm190210.
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Aim. The article deals with developing software to simulate the motion of an object with the given parameters of initial and final phase status. Materials and methods. A motion error in sports exercise is the result of kinematic deviation from the parameters of a given motion program. The mathematical apparatus of adaptive control allows neutralizing motion mistakes between a program and a real trajectory. It is based on utilising the information about current parameters of a phase status of a moving object in a mathematical structure of the control function. The article proposes and experimentally proves the hypothesis about the computer synthesis of motions in biomechanical systems based on the mathematical apparatus of adaptive control. In the computational experiments, a mathematical description of an object is based on a well-established law of open-time approximation (A.P. Batenko, 1977), which requires that both velocity and coordinates simultaneously take the given values. Motion time in this law is an uncontrolled parameter. The mathematical model of a moving object is built as a system of a first-order differential equation. Results. A mathematical model describing the motion of a material point with given phase coordinates at the initial and final points in time is implemented in a computer program. The program works based on the integrated development environment Visual Studio Express 2013 and the Visual Basic 2010 language environment. Conclusion. The developed computer model of adaptive control achieves the aim of any motion, which implies transferring an object from a given initial state to the required final state.
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Boulet, J. A. M., J. A. Templer, and S. Hanagud. "Computer-Based Simulation of a Human Falling on a Stairway." Proceedings of the Human Factors Society Annual Meeting 33, no. 17 (October 1989): 1145–49. http://dx.doi.org/10.1518/107118189786757941.
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A numerical simulation of a mathematical model of a human falling (plane motion) down a stairway is described. The simulation begins with an arbitrary initial state of the falling object, and numerically integrates equations of motion for the object as it falls and repeatedly strikes the stairway. Realistic simulation requires the use of nonlinear resistance to join rotations. This nonlinearity is being investigated.
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Yu, Jianxi. "Indifference Computer Experiment for Mathematical Identification of Two Variables." Wireless Communications and Mobile Computing 2022 (July 29, 2022): 1–7. http://dx.doi.org/10.1155/2022/9181840.
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In order to understand the two types of nonlinear differential equation problems in engineering dynamics, the author proposes a numerical analysis method for the two types of nonlinear differential equations based on computer simulation. This method establishes the MATLAB algorithm structure of the numerical solution of the fourth-order fixed-step Runge-Kutta and Lorenz models, discusses the error control in the case of variable step size, and plots the numerical solutions of the Lorenz system based on MATLAB in two-dimensional and three-dimensional space graphics. The x -direction displacement and y -direction displacement data are extracted from the Lorenz equation as iterative samples of the model, the regression curve obtained after iteration has a slope of 0.996, and the iterative regression model reflects the basic characteristics of the data well. This method presents the basic idea of numerical solution verification within acceptable error limits. For solving engineering problems with differential equations as mathematical models, an effective numerical solution method is provided, and further discussion on the numerical solutions of partial differential equations is of great significance.
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Wang, Jun, Ting Zhi Chen, Chao Ying Liu, and Shu Guang Ye. "Design of Automatic Guided Vehicles Based on Computer Control." Advanced Materials Research 569 (September 2012): 776–80. http://dx.doi.org/10.4028/www.scientific.net/amr.569.776.
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The automated Guided Vehicles is the development trend of modern automated warehousing technology, which can realize the flexible transport, the use of flexible, high transport efficiency, energy saving, no pollution, significant savings in labor costs. The paper gave a brief introduction about the structure and function of the AGV, and a detailed description about the movement mathematical model and navigation calculation of the AGV. In the end the paper designed the control system of the AGV.
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Hroncová, Darina. "COMPUTER SIMULATION AND ANALYTICAL SOLUTION OF FOUR BAR MECHANISM." TECHNICAL SCIENCES AND TECHNOLOGIES, no. 3(21) (2020): 120–28. http://dx.doi.org/10.25140/2411-5363-2020-3(21)-120-128.
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Urgency of the research. The use of computers in technical practice leads to the extension of the possibility of solving mathematical models. This makes it possible to gradually automate complex calculations of equations of mathematical models. It is necessary to input the relevant inputs of the mathematical model, to build a simulation computer model and to monitor and evaluate the output results using a computer's output device. Target setting. The possibilities of modeling a four-bar linkage mechanism by classical analytical methods and methodsusing computer modeling are presented in this paper.The problem is to describe the creation of a computer model and to show the mathematical model and its solution in the classical ways. Actual scientific researches and issues analysis. The inspiration for the creation of the article was the study of the mechanisms in the work [1-3] and the study of other resources available in library and journal materials, as well as prepared study materials for students of Technical university Kosice. Uninvestigated parts of general matters defining. The question of building a real mechanism model. The possibilities to building a real model, based on the result of simulation. The research objective. The aim of this paper is to develop a functional model of the mechanism in ADAMS/View and Matlab and its complete kinematic analysis.The statement of basic materials.The task was to create a computer model in MSC Adams and Matlab and to perform a four-bar linkage mechanism kinematic analysis. At the same time the classical procedure of analytical methods of kinematic analysis was described. Kinematic сharacteristics of driven members and their selected points were determined. The movement of the parts of the mechanism in its significant points was analyzed. The results of the solution were shown in both programs in graphical form. Kinematic analysis was performed by both vector and graphical methods. Finally, the results with a graphical representation of parameters such as angular displacement, angular velocity and angular acceleration of mechanism members are presented in this work. The results of these solutions are created in the form of graphs. To ensure that the results do not differ from the model real, a good computer model gradually was created by its verification and modification, which is one of the advantages of MSC Adams. The practical applicability of the mathematical model was limited by the existence of an analytical solution. Conclusions. The development of computer technology has expanded the limit of solvability of mathematical models and made it possible to gradually automate the calculation of equations of mathematical models. In a computer model the auto-mated calculation can be treated as a real object sample. In various variations of calculation, we can monitor and measure the behavior of an object under different conditions, under the influence of different inputs. Graphical and vector methods were used for classical analytical methods. MSC Adams and Matlab were used for the automated calculations.
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Petrenko, Yuri, and Ihor Korolkov. "Criteria and model of choosing a surveillance equipment." Bulletin of Kharkov National Automobile and Highway University, no. 99 (December 29, 2022): 118. http://dx.doi.org/10.30977/bul.2219-5548.2022.99.0.118.
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Problem. The relevance of the work is to increase the efficiency of security in Ukraine based on the development of computer technology for the selection of surveillance equipment for the enterprise, which will improve the quality of camera selection and increase productivity in security sphere. Goal. The aim is development of computer technology for video surveillance systems, which will reduce the cost and time required to choose a video camera by developing mathematical models for choosing video cameras. The object of research is the process of selecting the elements of the video surveillance system. The subject of research is the model of selection of elements of the video surveillance system. Methodology. This work gives the analysis of the development of surveillance systems in Ukraine, theoretical material on video cameras, substantiates the criteria for the selection of cameras, develops mathematical model for the selection of surveillance equipment. Results. The developed criteria and mathematical model of an video camera selection allow making scientifically substantiated decisions on the acquisition of a camera by an enterprise according to many criteria. This will reduce the time and cost of making a decision. Originality. Further development of making decision methods was made according to many criteria and the mathematical model of the surveillance equipment selection was developed. Practical value. The proposed mathematical model will allow the development of computer technology for the selection of video cameras for the enterprise. This will reduce the time and money to choose surveillance equipment.
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Zbiciak, A. "Mathematical description of rheological properties of asphalt-aggregate mixes." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 1 (March 1, 2013): 65–72. http://dx.doi.org/10.2478/bpasts-2013-0005.
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Abstract The procedure of the formulation of constitutive equations for asphalt-aggregate mixes is based very often on rheological schemes composed of classical elastic, plastic and viscous elements. The parameters of these schemes can be obtained based on laboratory experiments. In order to obtain better curve fitting results one can use non-classical viscoelastic elements described by fractional derivatives. In this paper we present the characteristics of the fractional viscoelastic Huet-Sayegh model as well as the characteristics of an original simplified fractional model. The results have been obtained using algorithms of numerical calculation of inverse Laplace transforms. Then the proposal of an original rheological model including plasticity has been given. The non-linear differential constitutive relationships of such a model are presented in the paper. The results of computer simulations are also visualized. Finally, 3D viscoelasticplastic models of asphalt aggregatemixes are proposed. The models are based on a generalized macroscopic theory taking into account the effect of pressure-dependency on yielding
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Shang, Yaobo, Qianzhe Wang, Jiaqiang Zhang, Duo Qi, and Zhihao Zhang. "A Wave Beam Interlocking Model and Simulation Based on Position Information Interaction." Highlights in Science, Engineering and Technology 1 (June 14, 2022): 311–18. http://dx.doi.org/10.54097/hset.v1i.480.
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Aiming at the problem of wave beam interlock in directional antenna communication of aviation swarm, a mathematical model of wave beam interlock based on position information interaction is established. The core idea of this model is to transform the position information of the local machine and other machines into the wave beam direction of directional antenna through a series of coordinate transformations, so as to realize wave beam interlocking. This paper analyzes the source of the precision error of wave beam interlock in mathematical model, emphatically demonstrates the precision error of attitude measurement, and gives the error boundary conditions to maintain normal communication. Finally, the computer simulation of the mathematical model and error sources proves the validity of the mathematical model and the correctness of the error analysis. The model is simple, reliable and practical.
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Liu, Hai Ying. "Control System of Image Synthesis Based on Cluster Mathematical Model of K-Means Intelligent Computer." Applied Mechanics and Materials 543-547 (March 2014): 2431–34. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.2431.
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On the basis of computer automatic control theory of artificial intelligence, we use Kmeans clustering algorithm to establish mathematical model of automatic art synthesis for computer painting, and realize the computer artificial intelligence painting synthesis by using MATLAB software. In the first part we introduce the intelligent control system of computer drawing in detail, and do decomposition and combination on the frame number by using the computer intelligent drawing cell. In the second part we establish the intelligent clustering model of Kmeans algorithm, and introduce the model painting synthesis. In order to verify the availability and reliability of the model designed in this paper, we design simulation experiment of MATLAB drawing synthesis, and obtain the art synthesis of clothing abstract drawing by calculation. It provides the theory reference for the research on computer artificial intelligence control technology
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Obukhov, Sergey A., Valery P. Stepanov, and Igor V. Rudakov. "MATHEMATICAL MODEL OF BRAIN-COMPUTER INTERFACE BASED ON THE ANALYSIS OF P300 EVENT RELATED POTENTIALS." RSUH/RGGU Bulletin. Series Information Science. Information Security. Mathematics, no. 2 (2021): 48–67. http://dx.doi.org/10.28995/2686-679x-2021-2-48-67.
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The evoked potentials (EP) method consists in recording bioelectric reactions of the brain in response to external stimulation or while performing cognitive tasks. The goal of the work is to develop a mathematical model of the system for detection and classification of evoked potentials on the electroencephalogram (EEG). The main odd of the machine EP detection are artifacts from EEG recordings and the high variability of potentials. EP detection and classification algorithm includes three stages. At the preliminary stage, the frequency-time and spatial signal transformations – a set of Butterworth frequency filters, linear composition and averaging of the recorded signals from different sensors are used to remove noise and uninformative EEG components. The next step is the direct fixation and averaging of the evoked potentials. At the final stage, to reduce the dimension of the problem, the information features vector is formed. The parameterized image is used as input of the binary classifier. The support vector method is used to construct the classifier. During the study, the optimization of the regularization C parameter of the classifier was carried out using the estimation of sliding control. The proposed solution is useful for human-machine interaction and for medical procedures with biofeedback.
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Maaddawy, Tamer El, Khaled Soudki, and Tim Topper. "Computer-Based Mathematical Model for Performance Prediction of Corroded Beams Repaired with Fiber Reinforced Polymers." Journal of Composites for Construction 9, no. 3 (June 2005): 227–35. http://dx.doi.org/10.1061/(asce)1090-0268(2005)9:3(227).
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Nowicki, Tomasz. "The insulin activity model based on insulin profiles." Journal of Computer Sciences Institute 13 (December 30, 2019): 272–78. http://dx.doi.org/10.35784/jcsi.1294.
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The purpose of the research was to propound an insulin activity model in a human body after a subcutaneous injection. A deterministic model in the form of a mathematical function was formulated. The research was based on pharmaceutic publicly available drug information published by the manufactures. The paper presents in detail the model. The obtained results can be used in computer simulations of diabetes mellitus therapy. They suggest that activity models may be assigned to types of insulin instead of separate products.
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Abdalla, Musa, S. Emran, M. Mukhtar, A. Nabil, and Z. Tahboob. "Solar-Diesel Hybrid Model and Control for Central Heating." Applied Mechanics and Materials 705 (December 2014): 305–12. http://dx.doi.org/10.4028/www.scientific.net/amm.705.305.
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A complete technical study on a Hybrid heating system is carried out with the aid of computer simulation. The main objective of this work was to provide more insight into combining Solar and Diesel energies to be utilized in domestic central heating. The motivation for such a system was basically the ever increasing Diesel prices in the Kingdome. This work revealed that the cost of Diesel in heating houses could be lowered by at least fifteen percent if the hybrid system is implemented. Complete mathematical model of a representative house was derived for the sake of computer simulation. The model was validated and verified through computer simulations (Matlab Simulink based) with real collected weather data of Jordan (complete year record). Finally a controller strategy was devised and tested using the derived mathematical model.
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Karpov, Alexander, Henry Telitsyn, Nadezhda Efimova, Victor Berdonosov, and Sergey Popovich. "Gis-based computer code for the evaluation of forest fire spread." Thermal Science 11, no. 2 (2007): 259–70. http://dx.doi.org/10.2298/tsci0702259k.
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The approach to the implementation of a computer code, based on the geographic information system, for the forest fire behavior prediction is presented. Consecutive steps are considered, which include the formulation of fire spread mathematical model, classification of vegetation fuels using the forest inventory data, approximation of fire perimeter propagation, and overall arrangement of fire simulation code. .
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Plebankiewicz, E. "Simple Prequalification Models." Archives of Civil Engineering 56, no. 4 (December 1, 2010): 335–51. http://dx.doi.org/10.2478/v.10169-010-0019-4.
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AbstractThe selection of a contractor is one of the most important among decisions made by the owner of a construction. The application of the prequalification procedure enables the selection of the most competent tenderers. Various mathematical models are helpful in carrying out prequalification procedure. In the paper, some selected mathematical models are briefly characterized and model based on the theory of fuzzy sets is offered. The applied model takes into consideration the owner’s various objectives, as well as different evaluation criteria. The results of the sensitivity analysis of the model are also presented. Part of a computer software applying an earlier presented prequalification mathematical model is described
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Blinov, Alexander О., Larisa V. Konchina, Marina А. Novikova, and Andrey V. Borisov. "Applying the models of magneto-rheological substances in the study of exoskeleton variable-length link with adjustable stiffness." Journal Of Applied Informatics 17, no. 2 (March 31, 2022): 133–42. http://dx.doi.org/10.37791/2687-0649-2022-17-2-133-142.
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The article considers the existing mathematical models of magneto-rheological substances and describes some of their properties. As a result of the open sources analysis, it was found that there are no exoskeleton models with variable-length links with adjustable stiffness, based on the application of magneto-rheological fluids. Therefore, the application of these fluids in other technical systems is considered. A mathematical model of an exoskeleton variable-length link with adjustable stiffness is proposed. This link can be used for supporting and strengthening the lower limbs of the human musculoskeletal system. The difference between the proposed mathematical model of the link and the existing ones lies in the fact that the section that changes its length is considered weighty. Therefore, the mathematical model of the link with a variable inertial characteristic, the moment of inertia relative to the axis perpendicular to the longitudinal axis of the link symmetry and passing through its beginning – the point where the link is fixed to the stationary mount with a cylindrical hinge, is considered. A method of motion control based on the assignment of differentiable functions is applied. The trajectory of the link movement is found, linear and angular velocities and accelerations are calculated. To showcase the link motion, the computer-animated visualization of the link motion control problem solution is presented. The control actions required for the implementation of the given motion have been calculated in the numerical experiment. The drag coefficient range of the magneto-rheological substance has been identified during the implementation of the proposed link motion. The software implementation of the proposed mathematical model of the exoskeleton variable-length link with adjustable stiffness has been done in the Wolfram Mathematica 11.3 universal computer math environment. The software package including the unit for deriving the differential equations of motion in analytical form, the kinematic trajectory synthesis unit, the computational experiment unit, and the unit for animated visualization of the model motion and its export in the wide-spread 'gif' video format has been developed.
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Tyhanskyi, Mykhailo, and Andrii Partyka. "MATHEMATICAL MODEL FOR TRANSITIONAL PROCESSES IN JOSEPHSON MEMORY ELEMENTS." Cybersecurity: Education, Science, Technique 4, no. 8 (2020): 73–84. http://dx.doi.org/10.28925/2663-4023.2020.8.7384.
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The goal of this work is to find ways of enhancing the speed of computer memory cells by using structures that employ operating principles other than those of traditional semiconductors’ schemes. One of the applications of the unique properties of Josephson structures is their usage in novel superfast computer memory cells. Thanks to their high working characteristic frequencies close to 1 THz, the Josephson structures are most promising candidates to be used in petaflop computers. Moreover, both Josephson cryotrons and Josephson SQUIDs can be used in qubits, which are basic units in quantum computers, and also for describing a macroscopic quantum behavior, for example, during read-out processes in quantum computations. In the present work, we have created a mathematical model of transition processes in Josephson cryotrons during direct, “1” → ”0”, as well as inverse, “0” → “1”, logical transitions. We have considered controlling the logical state of Josephson memory cells based on Josephson tunneling junctions of the S-I-S type via external current pulses. By means of mathematical modelling, we have studied transition processes in cryotrons during the change of their logical state and calculated their transition characteristics for working temperatures T1 = 11.6 K and T2 = 81.2 K, which ale close to the boiling temperatures of helium and nitrogen, respectively. It has been shown that such memory cells can effectively operate at the working temperature T2 = 81.2 K. We have determined commutation times for both the direct “0” → “1” and inverse “0” → “1” transitions. We have also identified peculiar behaviors of the Josephson cryotrons based memory cells and studied the stability of their operation.
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Левчук, Ігор Леонідович, Олег Петрович Мисов, Ксенія Олексіївна Фесенко, and Антон Романович Шейкус. "МОДЕЛЮВАННЯ ХІМІКО-ТЕХНОЛОГІЧНИХ ПРОЦЕСІВ У SCADA ЗА ДОПОМОГОЮ ТЕХНОЛОГІЇ OPEN PLATFORM COMMUNICATIONS." RADIOELECTRONIC AND COMPUTER SYSTEMS, no. 2 (April 26, 2020): 59–66. http://dx.doi.org/10.32620/reks.2020.2.05.
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The subject of study in the article are methods for integrating mathematical models of chemical-technological processes implemented in universal modeling programs into modern SCADA systems for developing and improving methods for controlling these processes. The goal is to develop a control system for the synthesis of acetylene in a kinetic reactor, based on a computer model created in universal modeling programs and integrated into SCADA using open platform communications (OPC) technology. Tasks: to create a mathematical model of the process of synthesis of acetylene based on the selected universal modeling program; to develop a way to integrate the resulting model into modern SCADA using OPC technology; to develop in SCADA a control system for the process of synthesis of acetylene according to a mathematical model as part of a functional human-machine interface and control subsystem algorithms; get transient graphs and prove the efficiency of the control system. Conduct a process study using a mathematical model. The methods used are computer simulation of technological processes; OPC technology; SCADA based management. The following results are obtained. A control system for the acetylene synthesis process based on SCADA Trace-Mode and a mathematical model implemented in the ChemCAD package has been developed, while the model - control system information exchange is implemented based on OPC technology. Checked and proved the efficiency of the resulting control system. A mathematical study of the process was carried out, an experimental dependence of the yield of the final product, acetylene, on the temperature, and consumption of raw materials at the inlet of the reactor was established. Conclusions. The novelty of the results is as follows. A new method is proposed for integrating mathematical models implemented in the ChemCAD modeling package into modern SCADA, based on OPC technology. A study of the process of acetylene synthesis by a mathematical model was carried out, experimental dependences of the acetylene yield on temperature and ethylene consumption at the inlet of the synthesis reactor were obtained. An analysis of the obtained experimental dependences showed the need to use cascade control algorithms to increase the efficiency of controlling the process of acetylene synthesis in a kinetic reactor.
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Sakairi, Takashi, Eldad Palachi, Chaim Cohen, Yoichi Hatsutori, Junya Shimizu, and Hisashi Miyashita. "Model Based Control System Design Using SysML, Simulink, and Computer Algebra System." Journal of Control Science and Engineering 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/485380.
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The Systems Modeling Language (SysML) is a standard, general-purpose, modeling language for model-based systems engineering (MBSE). SysML supports the specification, analysis, and design of a broad range of complex systems such as control systems. The authors demonstrate how they can integrate a SysML modeling tool (IBM Rational Rhapsody) with a proprietary simulation tool (MathWorks Simulink) and a Computer Algebra System (CAS) to validate system specification. The integration with Simulink enables users to perform systems engineering process in a SysML model, while designing continuous control algorithms and plant behavior in Simulink, and to validate the behavior by simulating the overall composition in Simulink. The integration with a CAS enables the evaluation of mathematical constraints defined in SysML parametric diagrams. The authors also show the overall approach using a Dual Clutch Transmission (DCT) and a Cruise Control System as examples.
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Heringa, J., H. Hylkema, M. Kroes, E. Ludden, and P. G. van Schaick Zillesen. "The lake ecosystem simulation program." Water Science and Technology 31, no. 8 (April 1, 1995): 367–70. http://dx.doi.org/10.2166/wst.1995.0331.
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The computer program LAKE simulates a shallow lake ecosystem. The program is based on a mathematical model. In the model the most important aspects of several models for water resources management are integrated (Collins and Wlosinski, 1988; Jørgensen, 1976; Jørgensen et al., 1978; Scheffer, 1988). Furthermore, the model describes several ecological processes that have not yet been described by lake-ecosystem models so far. In the computer program, the mathematical model and an advanced, object oriented, user interface are combined. Following this approach the use of the original research models was extended to a use for the purpose of teaching lake ecology. We suggest that the same approach may be followed to open research models to other groups concerned with water resources management, such as management authorities, industry, agricultural extension, nature conservation and recreation.
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Prusinkiewicz, P. W., W. R. Remphrey, C. G. Davidson, and M. S. Hammel. "Modeling the architecture of expanding Fraxinus pennsylvanica shoots using L-systems." Canadian Journal of Botany 72, no. 5 (May 1, 1994): 701–14. http://dx.doi.org/10.1139/b94-091.
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This paper presents a mathematical model of Fraxinus pennsylvanica (green ash) shoots, which yields realistic computer graphics images of shoot geometry, and makes it possible to visualize shoot expansion using computer animation. The model is based on the mathematical formalism of Lindenmayer systems (L-systems). The paper emphasizes the process of model construction, with the aim of making the methodology applicable to other plant species. The central issue is the identification of field data necessary to build a comprehensive developmental model of plant architecture. Key words: Fraxinus pennsylvanica, plant architecture, shoot expansion, modeling, L-system, computer graphics.
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Abbasov, A. E. "Mathematical model of management of recirculation of motor aggregates." Informacionno-technologicheskij vestnik 12, no. 2 (June 30, 2017): 25–35. http://dx.doi.org/10.21499/2409-1650-2017-2-25-35.
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A mathematical model of management of recirculation of motor units is developed. It is shown that the efficiency of recirculation control is achieved with a decrease in the content of toxic substances in the exhaust; Limiting the maximum combustion temperature of the fuel and the pressure in the combustion chamber; Speed control. Based on the mathematical model, an algorithm is developed for calculating the control dependence for the regulation of the position of the electromechanical recirculation valve in specialized graphic computer environments with three-dimensional and two-dimensional visualization of analysis and calculation results. Calculation of the amount of emissions of harmful substances without the developed algorithm and using the developed algorithm is carried out.
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Krasnobayev, Victor, Serhii Koshman, Serhii Nikolsky, and Dmytro Kovalchuk. "MATHEMATICAL MODEL OF COMPUTER SYSTEM RELIABILITY IN RESIDUAL CLASSES." Advanced Information Systems 6, no. 4 (December 8, 2022): 19–24. http://dx.doi.org/10.20998/2522-9052.2022.4.03.
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The subject of the article is the construction of a mathematical model of the reliability of a computer system (CS) that operates in a system of residual classes (RNS). This mathematical model is based on the use of structural sliding reservation. The purpose of the article is to increase the reliability of the CS, which operates in the system of residual classes, as well as to calculate and compare the reliability, in terms of the probability of failure-free operation, of the CS in the RNS and the ternary computing system, which operates in the positional binary number system (PBNS). Tasks: to analyze the influence of the number system used on the reliability of the CS; to investigate the properties of the RNS and determine their influence on the structure of the CS in the RNS; build a mathematical model of reliability and, on its basis, perform the calculation and comparative analysis of the reliability of the CS in the RNS and the tripled CS in the PBNS. Research methods: methods of analysis and synthesis of computer systems, number theory, coding theory in RNS, reliability theory. The following results are obtained. The paper shows that the provision of a given level of reliability in the design of the CS using the RNS is due to the presence of various types of redundancy at the same time: structural, informational, temporal, functional and load. In RNS, these types of redundancy can be effectively used to improve the reliability of the CS. The CS in the RNS represents a computational structure that is identical in structure and principle of operation to the sliding structural redundancy model in the PBNS in the case of a loaded (hot) mode of operation of the redundant elements. Proceeding from this, the paper presents a mathematical model of the reliability of the CS in the RNS. In this paper, the calculation and comparative analysis of the reliability of a tripled computing structure in a PBNS with an ideal majority element and a CS in an RNS with an ideal reliability automaton are carried out. Conclusions. As shown by the results of calculations and comparative analysis in some time intervals of operation, the probability of non-failure operation of the CS in the RNS is higher than the probability of non-failure operation of the aircraft in the PBNS with a tripled majority structure. This implies the effective use of the RNS to improve the reliability of the CS.