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Novel symmetric numerical methods for solving symmetric mathematical problems

International Journal of Circuits, Systems and Signal Processing 2021年 15卷 1545-1557页

作者： Ibrahimov, V.R. Mehdiyeva, G.Y.U. Yue, Xiao-Guang Kaabar, Mohammed K.A. Noeiaghdam, Samad Juraev, Davron Aslonqulovich Institute of Control Systems named after Academician A.Huseynov BakuAZ1141 Azerbaijan Computational mathematics Baku State University BakuAZ1148 Azerbaijan Department of Computer Science and Engineering School of Sciences European University Cyprus Nicosia1516 Cyprus Institute of Mathematical Sciences Faculty of Science University of Malaya Kuala Lumpur50603 Malaysia Department of Mathematics and Statistics Washington State University PullmanWA99163 United States Industrial Mathematics Laboratory Baikal School of BRICS Irkutsk National Research Technical University Irkutsk664074 Russia Department of Applied Mathematics and Programming South Ural State University Lenin Prospect 76 Chelyabinsk454080 Russia Department of Natural Science Disciplines Higher Military Aviation School of the Republic of Uzbekistan Karshi City180100 Uzbekistan

—The mathematical model for many problems is arising in different industries of natural science, basically formulated using differential, integral and integro-differential equations. The investigation of these equations is conducted with the help of numerical integration theory. It is commonly known that a class of problems can be solved by applying numerical integration. The construction of the quadrature formula has a direct relation with the computation of definite integrals. The theory of definite integrals is used in geometry, physics, mechanics and in other related subjects of science. In this work, the existence and uniqueness of the solution of above-mentioned equations are investigated. By this way, the domain has been defined in which the solution of these problems is equivalent. All proposed four problems can be solved using one and the same methods. We define some domains in which the solution of one of these problems is also the solution of the other problems. Some stable methods with the degree p © 2021, North Atlantic University Union NAUN. All rights reserved.

关键词： Integrodifferential equations

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Identification of the computer System State Based on Multidimensional Discriminant Analysis

Identification of the Computer System State Based on Multidi...

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International Scientific Symposium on Metrology and Metrology Assurance (MMA)

作者： Svetlana Gavrylenko Viktor Chelak Oleksii Hornostal Stella Gornostal Department of Computer Engineering and Programming National Technical University “Kharkiv Polytechnic Institute” Kharkiv Ukraine Department of Fire Prevention in Settlements National University of Civil Defence of Ukraine Kharkiv Ukraine

ISBN: (纸本)9781728122144

This paper describes the process of identifying the state of a computer system based on tracking changes in the file system under the condition that there is no reliable information about the state of objects in the external environment and the state of the system itself. In this case, the performance indicators of a computer system are random variables with unknown distribution laws. A method for identifying the state of the computer system based on tracking changes in the file system using classical discriminative analysis, taking into account the uncertainty of the input data, is proposed. For this purpose, a special method was developed for solving a fuzzy system of linear algebraic equations. The software was developed for tracking changes in the computer file system: creating, modifying, renaming, and deleting files and directories. The program also performs state classification based on a fuzzy discriminant classifier.

关键词： Identification computer system Malware Anomalous state Discriminant analysis Fuzzy variable computer systems Spyware File systems discriminant analysis Fuzzy systems MULTIDIMENSIONAL computers

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Smart Medicine Box System 2

Smart Medicine Box System

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2nd IEEE International Multidisciplinary Conference on Engineering Technology, IMCET 2018

作者： Zeidan, Hiba Karam, Khalil Daou, Roy Abi Zeid Hayek, Ali Boercsoek, Josef Biomedical Technologies Department Lebanese German University Faculty of Public Health Jounieh Lebanon Department of Computer Architecture and System Programming Kassel University Kassel Germany

ISBN: (纸本)9781538645000

An advanced medicine box monitoring, analysis and control system is proposed in this paper. The latter design is based on a smart and safe medical box that assists patients in taking their pills treatment on time. Two main functionalities characterize this system: safety which assures the wellbeing of the patient and the good functioning of the system by duplicating the electrical components and the security that helps keeping the medication out of the reach of the children by automatically looking the medical box whenever the patient takes his pills. This system can also be monitored by the patient parents as it will be linked to a phone application. This application will be used to configure the medical box by calculating the weight of each pill, setting the schedule of medical intake, alarming the user of the number of remaining pills, generating alarms whenever the patient does not take the required number of pills or doesn't take them at all, and so on... This system was implemented and tested by more than 50 patients who were taking several medication types (each one of them takes one medication only) and were using different mobile phone. The overall results were very acceptable with a faulty alarm generation below 3%. © 2018 IEEE.

关键词： Pelletizing

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On the Ultra-Dense Small Cell Deployment for 5G Networks 1

On the Ultra-Dense Small Cell Deployment for 5G Networks

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1st IEEE 5G World Forum, 5GWF 2018

作者： Valenzuela-Valdés, Juan Fco Palomares, Ángel González-Macías, Juan C. Valenzuela-Valdés, Antonio Padilla, Pablo Luna-Valero, F. Department of Signal Theory Telematics and Communications - CITIC University of Granada Granada18071 Spain Department of Computer Science and Programming Languages University of Malaga Malaga29071 Spain

ISBN: (纸本)9781538649824

The paradigm shift that has to take place in the new 5G networks in order to meet the expected data rates is a huge technological challenge. The use of super dense heterogeneous networks is one of the most promising alternatives to provide services with speeds above 1 Gbps. Another option to increase bandwidth is to engineer base stations at higher working frequencies and, thus higher available bandwidth, but also having the issues of the component cost and the increased propagation losses. This work evaluates the deployment of ultradense networks with base stations at different frequencies, ranging from 2 GHz to 60 GHz. Different scenarios that use several densities of both base stations and user equipments have been analyzed. The network performance has been measured in terms of Capacity, Signal to Interference plus Noise Ratio, and Energy Consumption. © 2018 IEEE.

关键词： 5G mobile communication systems

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The regularization of small sub-constraint satisfaction problems

arXiv

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arXiv 2019年

作者： Löffler, Sven Liu, Ke Hofstedt, Petra Brandenburg University of Technology Cottbus-Senftenberg Germany Department of Mathematics and Computer Science MINT Programming Languages and Compiler Construction Group Konrad-Wachsmann-Allee 5 Cottbus03044 Germany

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of fails in the resolution process, to improve the inferences made during search by the constraint solver by strengthening constraint propagation, and to maintain the level of propagation while reducing the cost of propagating the constraints. Our experimental results show improvements in terms of the resolution speed compared to the original CSPs and a competitiveness to the recent tabulation approach [1,12]. Besides, our approach can be realized in a preprocessing step, and therefore wouldn't collide with redundancy constraints or parallel computing if implemented. Copyright © 2019, The Authors. All rights reserved.

关键词： Constraint satisfaction problems

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Virtual Keyboard and Fingers

Virtual Keyboard and Fingers

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International Conference on Information Science and Communications Technologies (ICISCT)

作者： Bakhrom Kabulov Nadira Tashpulatova Marguba Akbarova Department of Applied Mathematics Joint-stock Company "Uzneftegazinformatika" Tashkent Uzbekistan Department of Information science and Computer Graphic Tashkent University of Information Technologies Tashkent Uzbekistan Department of System and applied programming Tashkent University of Information Technologies Tashkent Uzbekistan

ISBN: (数字)9781728125640

ISBN: (纸本)9781728125657

The problem of data entry in mobile devices is considered. The shortcomings of virtual projected keyboards are analyzed. The new input technology called VKF (Virtual Keyboard and Fingers) is offered. It is shown that VKF is more convenient not only in comparison with projected virtual keyboards, but also with data entry methods including use of on-screen keyboards.

关键词： Keyboards Virtual reality Human computer interaction Mobile handsets

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Dynamics of a predator-prey model with stage-structure on both species and anti-predator behavior

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Informatics in Medicine Unlocked 2018年 10卷 50-57页

作者： Mortoja, Sk Golam Panja, Prabir Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 W.B. India Department of Applied Science Haldia Institute of Technology Purba Midnapore Haldia 721657 W.B. India

In this paper, we have formulated and studied a stage-structure predator-prey model. Here, we consider stage-structure on both prey as well as predator population which means that the prey population is divided into two sub populations such as juvenile prey and adult prey, on the other hand, the predator population is also divided into two sub populations such as juvenile predator and adult predator. It is assumed that only adult predator have the ability to predation and they consume both juvenile prey as well as adult prey. Here, it is also considered that the growth rate of juvenile prey depends upon the adult prey population i.e., the juvenile prey has no reproduction capability. Also, Holling II and Holling IV response function have been used for the consumption of juvenile prey and adult prey by adult predator respectively. It is also considered two types of factors such as anti-predator behavior and group defense to formulate our proposed model. Mathematically, we have analyzed the positivity and boundedness of solutions, existence of equilibria, stability of the proposed system around these equilibrium points and Hopf bifurcation of interior equilibrium point. Finally, some numerical simulations have been presented to validate our theoretical results. © 2017

关键词： Anti-predator behavior Group defense Holling IV response function Prey-predator model Stability analysis Stage-structure

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Classification of a bank data set on various data mining platforms 4

Classification of a bank data set on various data mining pla...

引用

4th Electric Electronics, computer Science, Biomedical Engineerings' Meeting, EBBT 2018

作者： Basarslan, Muhammet Sinan Argun, Irem Duzdar Computer Programming School of Advanced Vocational Studies Doǧuş University Istanbul Turkey Industry Engineering Department Engineering Faculty Düzce University Düzce Turkey

ISBN: (纸本)9781538651353

The process of extracting meaningful rules from big and complex data is called data mining. Data mining has an increasing popularity in every field today. Data units are established in customer-oriented industries such as marketing, finance and telecommunication to work on the customer churn and acquisition, in particular. Among the data mining methods, classification algorithms are used in studies conducted for customer acquisition to predict the potential customers of the company in question in the related industry. In this study, bank marketing data set in UCI Machine Learning Data Set was used by creating models with the same classification algorithms in different data mining programs. Accuracy, precision and f- measure criteria were used to test performances of the classification models. When creating the classification models, the test and training data sets were randomly divided by the holdout method to evaluate the performance of the data set. The data set was divided into training and test data sets with the 60-40%, 75, 25% and 80-20% separation ratios. Data mining programs used for these processes are the R, Knime, RapidMiner and WEKA. And, classification algorithms commonly used in these platforms are the k-nearest neighbor (k-nn), Naive Bayes, and C4.5 decision tree. © 2018 IEEE.

关键词： Data mining

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Dynamics of a predator-prey model with nonlinear incidence rate, Crowley-Martin type functional response and disease in prey population

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Ecological Genetics and Genomics 2019年 10卷

作者： Mortoja, Sk Golam Panja, Prabir Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 WB India Department of Applied Science Haldia Institute of Technology Haldia Purba Midnapore 721657 WB India

In this paper, a delayed predator-prey model has been developed. Here, on the basis of infectious disease, the prey population has been divided into two sub-populations such as (i) susceptible prey and (ii) infected prey population. It is also assumed that a predator may consume both susceptible prey as well as infected prey. Also here, the Crowley-Martin type functional form has been taken to consume the prey (both susceptible and infected) population by the predator. It also considers two types of time delays in this model, (i) one is disease transmission delay when susceptible prey moves to infected prey stage and (ii) other is predator maturation delay. As the predator consumes both susceptible and infected prey, so we have incorporated the fact in this model that disease in the prey species also effect on predator population growth. Here, positivity and boundedness of solutions of our proposed model have been discussed. Then calculating different equilibrium points, the stability of the system have been discussed around those. In this paper, the Hopf bifurcation analysis has been done for non-delayed system with respect to the crowding coefficient. Finally, some numerical simulations have been presented to validate our theoretical findings. © 2018 Elsevier Inc.

关键词： Crowley-Martin functional response Hopf bifurcation Nonlinear incidence rate Predator-prey model Stability analysis Time delay

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Enabling Research through the SCIP Optimization Suite 8.0

arXiv

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arXiv 2023年

作者： Bestuzheva, Ksenia Besançon, Mathieu Chen, Wei-Kun Chmiela, Antonia Donkiewicz, Tim van Doornmalen, Jasper Eifler, Leon Gaul, Oliver Gamrath, Gerald Gleixner, Ambros Gottwald, Leona Graczyk, Christoph Halbig, Katrin Hoen, Alexander Hojny, Christopher van der Hulst, Rolf Koch, Thorsten Lübbecke, Marco Maher, Stephen J. Matter, Frederic Mühmer, Erik Müller, Benjamin Pfetsch, Marc E. Rehfeldt, Daniel Schlein, Steffan Schlösser, Franziska Serrano, Felipe Shinano, Yuji Sofranac, Boro Turner, Mark Vigerske, Stefan Wegscheider, Fabian Wellner, Philipp Weninger, Dieter Witzig, Jakob Zuse Institute Berlin Department AIS2T Takustr. 7 Berlin14195 Germany ZIB-AIS2T Germany School of Mathematics and Statistics Beijing Institute of Technology Beijing100081 China RWTH Aachen University Lehrstuhl für Operations Research Kackertstr. 7 Aachen52072 Germany Eindhoven University of Technology Department of Mathematics and Computer Science Netherlands ZIB-AIS2T I2DAMO GmbH Englerallee 19 Berlin14195 Germany ZIB-AIS2T HTW Berlin Germany Friedrich-Alexander Universität Erlangen-Nürnberg Department of Data Science Cauerstr. 11 Erlangen91058 Germany University of Twente Department of Discrete Mathematics and Mathematical Programming P.O. Box 217 Enschede7500 AE Netherlands Technische Universität Berlin Software and Algorithms for Discrete Optimization Straße des 17. Juni 135 Berlin10623 Germany ZIB Department A2IM Takustr. 7 Berlin14195 Germany RWTH Aachen-Lehrstuhl für OR Germany University of Exeter College of Engineering Mathematics and Physical Sciences Exeter United Kingdom Technische Universität Darmstadt Fachbereich Mathematik Dolivostr. 15 Darmstadt64293 Germany TU Darmstadt Fachbereich Mathematik Germany ZIB-A2IM Germany TU Berlin Germany ZIB-A2IM Software and Algorithms for Discrete Optimization Institute of Mathematics TU Berlin Germany GAMS Software GmbH c/o ZIB-AIS2T Germany

The SCIP Optimization Suite provides a collection of software packages for mathematical optimization centered around the constraint integer programming framework SCIP. The focus of this paper is on the role of the SCIP Optimization Suite in supporting research. SCIP's main design principles are discussed, followed by a presentation of the latest performance improvements and developments in version 8.0, which serve both as examples of SCIP's application as a research tool and as a platform for further developments. Further, the paper gives an overview of interfaces to other programming and modeling languages, new features that expand the possibilities for user interaction with the framework, and the latest developments in several extensions built upon *** Codes 90C05, 90C10, 90C11, 90C30, 90C90, 65Y05 Copyright © 2023, The Authors. All rights reserved.

关键词： Integer programming

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