Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.75-81
P. Malachivskyy, B. R. Montsibovych, Y. Pizyur, R. P. Malachivskyi
The method for constructing of Chebyshev approximation by rational expression for function of two variables is proposed. Idea of the method is based on constructing the boundary power-average approximation in p L norm with p . Least square method with two weight functions is used to construct of this approximation. One weight function ensures the con-struction of power-average approximation, and another refines parameters of rational expression by linearization scheme. Iterative refinement of weight functions values is proposed. Results of test examples solving con-firm the effectivity of and to prove correctly the conditions that ensure the CPA-security of the NTRUCipher encryption scheme. A certain result is analytical bounds of decryption failure probability in NTRUCipher encryption scheme. This result is important for the proper parameters’ choice of the encryption scheme in its practical implementa-tion. It is shown that the decryption failure probability in the NTRUCipher varies from 357 2 to 157 2 while the value of this probability for the NTRUEncrypt encryption scheme 160 2 to 74 2 . In addition, the obtained bounds are not based
{"title":"Chebyshev Approximation by Rational Expression Functions of Two Variables","authors":"P. Malachivskyy, B. R. Montsibovych, Y. Pizyur, R. P. Malachivskyi","doi":"10.32626/2308-5916.2019-19.75-81","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.75-81","url":null,"abstract":"The method for constructing of Chebyshev approximation by rational expression for function of two variables is proposed. Idea of the method is based on constructing the boundary power-average approximation in p L norm with p . Least square method with two weight functions is used to construct of this approximation. One weight function ensures the con-struction of power-average approximation, and another refines parameters of rational expression by linearization scheme. Iterative refinement of weight functions values is proposed. Results of test examples solving con-firm the effectivity of and to prove correctly the conditions that ensure the CPA-security of the NTRUCipher encryption scheme. A certain result is analytical bounds of decryption failure probability in NTRUCipher encryption scheme. This result is important for the proper parameters’ choice of the encryption scheme in its practical implementa-tion. It is shown that the decryption failure probability in the NTRUCipher varies from 357 2 to 157 2 while the value of this probability for the NTRUEncrypt encryption scheme 160 2 to 74 2 . In addition, the obtained bounds are not based","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124583179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.101-107
Y. Nykolaichuk, N. Vozna, V. Gryga, B. Krulikovskyi, A. Davletova, Nature Resources
{"title":"High-Performance Matrix and Stream Multipliers of Digital Data","authors":"Y. Nykolaichuk, N. Vozna, V. Gryga, B. Krulikovskyi, A. Davletova, Nature Resources","doi":"10.32626/2308-5916.2019-19.101-107","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.101-107","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121995266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.37-43
I. Gorbenko, A. Zamula, Ho Tri Luc
{"title":"Optimization of Discreet Complex Signals Search with Necessary Properties for Application in Modern Information and Communication Systems","authors":"I. Gorbenko, A. Zamula, Ho Tri Luc","doi":"10.32626/2308-5916.2019-19.37-43","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.37-43","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134021243","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.88-94
S. Mitin
{"title":"Application of BKW Algorithm for Recovering Systematic Linear Block Codes from Samples of Noisy Codewords","authors":"S. Mitin","doi":"10.32626/2308-5916.2019-19.88-94","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.88-94","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132277305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-06-20DOI: 10.32626/2308-5916.2019-19.62-68
A. Kudin, L. Kovalchuk, B. Kovalenko
{"title":"Theoretical Foundations and Application of Blockchain: Implementation of New Protocols of Consensus and Crowdsourcing Computing","authors":"A. Kudin, L. Kovalchuk, B. Kovalenko","doi":"10.32626/2308-5916.2019-19.62-68","DOIUrl":"https://doi.org/10.32626/2308-5916.2019-19.62-68","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126409347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-18DOI: 10.32626/2308-5916.2018-18.110-115
I. E. Furtat, Y. Furtat
The principles of construction and management of the automated systems’ UI (responsible for a form of presenting information to the user) and domain (responsible for a structure of presenting information to the user) models are considered as components of the complex of means for managing user’s informational interaction with the automated system management means, adapting this interaction to the user’s individual characteristics and work process specifics.
{"title":"Building User Interface and Domain Models Based on the Users’ Cognitive Characteristics and Work Process Specifics","authors":"I. E. Furtat, Y. Furtat","doi":"10.32626/2308-5916.2018-18.110-115","DOIUrl":"https://doi.org/10.32626/2308-5916.2018-18.110-115","url":null,"abstract":"The principles of construction and management of the automated systems’ UI (responsible for a form of presenting information to the user) and domain (responsible for a structure of presenting information to the user) models are considered as components of the complex of means for managing user’s informational interaction with the automated system management means, adapting this interaction to the user’s individual characteristics and work process specifics.","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127041379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-18DOI: 10.32626/2308-5916.2018-18.48-65
M. Yefymenko, Scientific Production Enterprise «Hartron-YUKOM»
{"title":"Mathematical model of an the angular motion of a solid body in the parameters of the Rodrig-Hamilton and its use in the tasks of control spacecraft orientation","authors":"M. Yefymenko, Scientific Production Enterprise «Hartron-YUKOM»","doi":"10.32626/2308-5916.2018-18.48-65","DOIUrl":"https://doi.org/10.32626/2308-5916.2018-18.48-65","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"90 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129189791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-18DOI: 10.32626/2308-5916.2018-18.102-110
K. Filonenko, O. D. Ruban, O. O. Fomin
Информатизация современного образования способствует созданию новых методов разработки учебных курсов, что существенно снижает качество обучения студентов. В настоящей работе предложен метод оценки значимости признаков при анализе качества внедрения дистанционного обучения в высшие учебные заведения с применением нейронной сети. Представлен алгоритм проведения исследования значимости признаков, состоящий из трех этапов: подготовка данных, нейросетевое моделирование и анализ и интерпретация результатов исследования. Подготовка данных — самый трудоемкий процесс, требующий максимального сосредоточения со стороны аналитика. В качестве обучающей выборки использованы реальные данные обучения студентов университета из системы дистанционного обучения Moodle. Данная система активно используется в качестве инструмента ведения учебного процесса в Одесском национальном политехническом университете. Нейросетевое моделирование заключается в исследовании информативности признаков после обучения нейронной сети. В качестве входов нейронов использовались данные об успеваемости студентов курсов, в качестве выходов — их результирующая оценка за курс. Информативность каждого признака определяется с помощью матрицы весов, которая формируется после обучения нейронной сети. Благодаря матрице весов можно определить, какой из признаков наиболее информативен, т.е. наиболее значим для исследования. Значения матрицы весов визуализированы с помощью графиков и гистограмм и дают возможность проанализировать результаты исследования и наглядно подтвердить значимость признаков. Таким образом, решена задача оценки значимости признаков при анализе данных обучения студентов в системе дистанционного обучения Moodle. Определены исследуемые признаки. Сформирована матрица весов признаков. Обосновано предположение о том, что значения весов признаков характеризуют уровень значимости каждого исследуемого признака. Выделены наиболее значимые признаки, которые влияют на качество внедрения дистанционного обучения.
{"title":"Evaluation of the Features Significance Based on Neural Networks in Tasks of the Analysis of the Distance Learning Quality","authors":"K. Filonenko, O. D. Ruban, O. O. Fomin","doi":"10.32626/2308-5916.2018-18.102-110","DOIUrl":"https://doi.org/10.32626/2308-5916.2018-18.102-110","url":null,"abstract":"Информатизация современного образования способствует созданию новых методов разработки учебных курсов, что существенно снижает качество обучения студентов. В настоящей работе предложен метод оценки значимости признаков при анализе качества внедрения дистанционного обучения в высшие учебные заведения с применением нейронной сети. Представлен алгоритм проведения исследования значимости признаков, состоящий из трех этапов: подготовка данных, нейросетевое моделирование и анализ и интерпретация результатов исследования. Подготовка данных — самый трудоемкий процесс, требующий максимального сосредоточения со стороны аналитика. В качестве обучающей выборки использованы реальные данные обучения студентов университета из системы дистанционного обучения Moodle. Данная система активно используется в качестве инструмента ведения учебного процесса в Одесском национальном политехническом университете. Нейросетевое моделирование заключается в исследовании информативности признаков после обучения нейронной сети. В качестве входов нейронов использовались данные об успеваемости студентов курсов, в качестве выходов — их результирующая оценка за курс. Информативность каждого признака определяется с помощью матрицы весов, которая формируется после обучения нейронной сети. Благодаря матрице весов можно определить, какой из признаков наиболее информативен, т.е. наиболее значим для исследования. Значения матрицы весов визуализированы с помощью графиков и гистограмм и дают возможность проанализировать результаты исследования и наглядно подтвердить значимость признаков. Таким образом, решена задача оценки значимости признаков при анализе данных обучения студентов в системе дистанционного обучения Moodle. Определены исследуемые признаки. Сформирована матрица весов признаков. Обосновано предположение о том, что значения весов признаков характеризуют уровень значимости каждого исследуемого признака. Выделены наиболее значимые признаки, которые влияют на качество внедрения дистанционного обучения.","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115737605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-18DOI: 10.32626/2308-5916.2018-18.5-17
A. Bomba, Kateryna Malash
{"title":"Modeling of Explosive Processes in Anisotropic Media where Boundary of the Influence Region is Identified","authors":"A. Bomba, Kateryna Malash","doi":"10.32626/2308-5916.2018-18.5-17","DOIUrl":"https://doi.org/10.32626/2308-5916.2018-18.5-17","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114067733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-18DOI: 10.32626/2308-5916.2018-18.91-102
V. Fedorchuk, Yu. V. Kanarchuk
{"title":"Computer simulation of dynamics of one-dimensional nonlinear objects with distributed parameters","authors":"V. Fedorchuk, Yu. V. Kanarchuk","doi":"10.32626/2308-5916.2018-18.91-102","DOIUrl":"https://doi.org/10.32626/2308-5916.2018-18.91-102","url":null,"abstract":"","PeriodicalId":375537,"journal":{"name":"Mathematical and computer modelling. Series: Technical sciences","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134367650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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