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BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series最新文献

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Mathematical substantiation of diagnostics of the technical condition of the oil pipeline 输油管道技术状况诊断的数学依据
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/2.3
A.G. Yessengaliyev, A.D. Tapashev
{"title":"Mathematical substantiation of diagnostics of the technical condition of the oil pipeline","authors":"A.G. Yessengaliyev, A.D. Tapashev","doi":"10.32523/bulmathenu.2021/2.3","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/2.3","url":null,"abstract":"The paper is proposed a mathematical model of source recovery for the partial differential equation of parabolic type on a tree graph. The developed model makes it possible to apply the results in the diagnostics of the operation of large-scale pipelines through which liquids are pumped, in particular, the detection of a blockage in a separate link of the main oil pipeline.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134289498","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}
引用次数: 0
Use of beacon technology to control cattle behavior 利用信标技术控制牛的行为
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/4.4
A. H. Sukoot, A. Zakirova, R. Niyazova, R.Z. Suleimenova, A. Zhanys
{"title":"Use of beacon technology to control cattle behavior","authors":"A. H. Sukoot, A. Zakirova, R. Niyazova, R.Z. Suleimenova, A. Zhanys","doi":"10.32523/bulmathenu.2021/4.4","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/4.4","url":null,"abstract":"The article is mostly devoted to the study of the possibilities of using modern information technologies in animal husbandry to identify and monitor the behavior and welfare of cows. Since the work associated with dairy herd management also implies the economic pressure felt by breeders, numerous efforts have been made to create a new method that would be worthy of competition when compared to current solutions. According to the authors’ opinion, the method of collecting and processing data using radio beacons, as well as data storage, allows for identifying the behavior and physiological conditions of a dairy herd more fully. It is equally important to note the price competitiveness of this method. Since the data is collected in large quantities, it was decided to abandon the processing of the data on the local computer and instead use the cloud computing engine. The presented information system creates a sequence of components that have been tested, both at the level of creation and at the level of research. The research results were compared with academic knowledge from literary sources. It should be noted that part of the validation of the above methodology was the comparison of the results that had been achieved during the study using a pedometer. The main goal of this article is to develop a new method in the field of information technology and a method based on beacons, which are quite versatile devices, using data stores that allow identifying the behavior and physiological state of dairy cattle, methods that would be competitive compared to existing solutions, especially for the price. In the proposed solution, there were used both information coming from microcomputers and weather forecast data coming from meteorological stations, which simplify the above identification.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116401157","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}
引用次数: 0
Ces`aro means of negative order of the one-dimensional Vilenkin-Fourier series Ces 'aro表示一维维伦金-傅里叶级数的负阶
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/2.1
T. Tepnadze
{"title":"Ces`aro means of negative order of the one-dimensional Vilenkin-Fourier series","authors":"T. Tepnadze","doi":"10.32523/bulmathenu.2021/2.1","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/2.1","url":null,"abstract":"In [1] has been proved some inequalities related to the approximation properties of Ces`aro means of negative order of the one-dimensional Vilenkin-Fourier series. These inequalities allow one to obtain a sufficient condition for the convergence of Ces`aro means of VilenkinFourier series in the L^p− metric in the term of modulus of continuity. In this paper, we will prove the sharpness of these conditions, in particular we find a continuous function under some condition of modulo of continuity, for which Ces`aro means of Vilenkin-Fourier series diverge in the L^p− metric.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132150099","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}
引用次数: 0
The encryption algorithm "FC" and analysis of its avalanche effect criterion “FC”加密算法及其雪崩效应准则分析
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/2616-7182/bulmathenu.2022/1.1
S. Nyssanbayeva, K. Algazy, K. Sakan, A. Khompysh, D. Dyussenbayev
{"title":"The encryption algorithm \"FC\" and analysis of its avalanche effect criterion","authors":"S. Nyssanbayeva, K. Algazy, K. Sakan, A. Khompysh, D. Dyussenbayev","doi":"10.32523/2616-7182/bulmathenu.2022/1.1","DOIUrl":"https://doi.org/10.32523/2616-7182/bulmathenu.2022/1.1","url":null,"abstract":"The article is about the importance, features and scope of symmetric block ciphers used to ensure the confidentiality of data in the era of rapid development of modern computing technologies. In this paper, the structure of the symmetric block encryption algorithm CF, developed in the \"Laboratory of Information Security\" of the \"Institute of Information and Computational Technologies\", the round keys generating mechanism based on it’s secret key are described. A computer program of the created encryption algorithm was developed, on the basis of which the performance was studied and the bit scattering between the plaintext and the ciphertext (the property of the \"avalanche effect\" and \"strong avalanche effect\") was checked. In order to optimize the hardware implementation of the algorithm, the conversion of the S-block, which is considered as a nonlinear node, was obtained in 4x4 bit size.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133576647","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}
引用次数: 0
Method and Information Technology to Support Decision-Making on Assessment of Reliability and Fault Tolerance for Information Systems 支持信息系统可靠性和容错评估决策的方法和信息技术
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/3.3
S. Boranbayev, A. Boranbayev, N. Sissenov, N. Goranin, Y. Tulebaev
{"title":"Method and Information Technology to Support Decision-Making on Assessment of Reliability and Fault Tolerance for Information Systems","authors":"S. Boranbayev, A. Boranbayev, N. Sissenov, N. Goranin, Y. Tulebaev","doi":"10.32523/bulmathenu.2021/3.3","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/3.3","url":null,"abstract":"This article is devoted to assessing the reliability and fault tolerance of information and automated systems. A method is proposed that allows one to determine the level of fault tolerance of components of information and automated systems, to take into account several criteria with different directions of optimization, to evaluate and rank alternative solutions. Based on the proposed method, corresponding information technology has been developed, which makes it possible to determine the reliability of the operation of information and automated systems. The proposed method and approach were applied in practice to assess the reliability and fault tolerance of information system components according to various criteria. The levels of fault tolerance of each of the components of the information system were identified. Practical application of the method has shown that it can be used to calculate the level of reliability and fault tolerance of information and automated systems.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133306893","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}
引用次数: 0
ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE 复变量函数的h全纯性和h解析性
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/2616-7182/2020-133-4-19-27
V. Pavlovsky, I. L. Vasiliev
{"title":"ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE","authors":"V. Pavlovsky, I. L. Vasiliev","doi":"10.32523/2616-7182/2020-133-4-19-27","DOIUrl":"https://doi.org/10.32523/2616-7182/2020-133-4-19-27","url":null,"abstract":"Interest in the study of the properties of functions defined on the set of textit{h}-complex numbers arose again in connection with existing applications in geometry and mechanics. In this paper, we present necessary and sufficient conditions for textit{h}-differentiability and textit{h}-holomorphy of functions of an textit{h}-complex variable, the theorem on finite increments is proved, sufficient conditions for textit{h}-analyticity are found, a uniqueness theorem for textit{h}-analytic functions is proved.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114685425","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}
引用次数: 0
Project of a personal educational platform to support personalized learning of high school students 支持高中生个性化学习的个人教育平台项目
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/4.2
Zhanat Seitakhmetova, S. Kumargazhanova, E. Fedkin, A. Sadvakassova, L. Bobrov
{"title":"Project of a personal educational platform to support personalized learning of high school students","authors":"Zhanat Seitakhmetova, S. Kumargazhanova, E. Fedkin, A. Sadvakassova, L. Bobrov","doi":"10.32523/bulmathenu.2021/4.2","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/4.2","url":null,"abstract":"The development of a system for designing the transition to personalized learning in Kazakhstan is an important direction for the development of innovations both in the field of information technology and in the field of school education, taking into account the instability of the external environment (the situation with the Covid-19 pandemic). This article presents a project of a personal educational platform to support personalized learning of high school students, based on the author’s conceptual model of the introduction of this type of education in schools of the Republic of Kazakhstan. The architecture of the personal educational platform is developed, subsystems and microservices are described, and the algorithm of the platform operation is proposed.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122609656","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}
引用次数: 0
Optimal recovery of functions from anisotropic Sobolev classes on a power – logarithmic scale 各向异性Sobolev类函数在幂对数尺度上的最优恢复
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/3.4
A.B. Utessov
{"title":"Optimal recovery of functions from anisotropic Sobolev classes on a power – logarithmic scale","authors":"A.B. Utessov","doi":"10.32523/bulmathenu.2021/3.4","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/3.4","url":null,"abstract":"In this paper, within the framework of the C (N) D - formulation of the recovery problem, the problem of optimal recovery of functions from anisotropic Sobolev classes in a power-logarithmic scale in the metric $L^{q} , (2le qle infty )$ is solved. Namely, in the case when the values $l_{N}^{eqref{GrindEQ__1_}} (f),...,l_{N}^{(N)} (f)$ of linear functionals $l_{N}^{eqref{GrindEQ__1_}} ,...,l_{N}^{(N)} $ defined on the considered functional class are used as numerical information about a function, firstly, the exact order of the recovery error is established, and secondly, a specific computing unit $bar{varphi }_{N} left(bar{l}_{N}^{(1)} (f),...,bar{l}_{N}^{(N)} (f);, cdot right)$ is indicated that implements the established exact order.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121199552","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}
引用次数: 0
On logarithmic derivatives of probability densities 关于概率密度的对数导数
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/bulmathenu.2021/3.2
A. V. Rezbaev
{"title":"On logarithmic derivatives of probability densities","authors":"A. V. Rezbaev","doi":"10.32523/bulmathenu.2021/3.2","DOIUrl":"https://doi.org/10.32523/bulmathenu.2021/3.2","url":null,"abstract":"We construct two examples connected with the integrability of logarithmic derivatives of probability densities on the real line, in particular, with the Fisher information number. These examples show that the Fisher information of a probability density cannot be estimated in terms of L^1 -norms of its first and second derivatives and the maximum of the absolute value of the second derivative. In addition, the norm of the logarithmic derivative of the density in L^3 cannot be estimated in terms of the norms in L^1 of the derivatives of the density of any order.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123268138","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}
引用次数: 0
Generalized Solutions of boundary value problems for the d’Alembert equation with local and associated boundary conditions 具有局部及相关边界条件的d 'Alembert方程边值问题的广义解
BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series Pub Date : 1900-01-01 DOI: 10.32523/2616-7182/bulmathenu.2022/1.2
L. Alexeyeva, G.Zh. Arepova
{"title":"Generalized Solutions of boundary value problems for the d’Alembert equation with local and associated boundary conditions","authors":"L. Alexeyeva, G.Zh. Arepova","doi":"10.32523/2616-7182/bulmathenu.2022/1.2","DOIUrl":"https://doi.org/10.32523/2616-7182/bulmathenu.2022/1.2","url":null,"abstract":"The initial-boundary value problems for the wave equations with local and non-local linear boundary conditions at the ends of a general segment are considered. To solve them, a generalize functions method has been developed, which translates the original boundary value problems to solving the wave equation with a singular right-hand side containing a singular simple and double layers, the densities of which are determined by the boundary and initial values of the desired function and its derivatives. Received integral representation of the solution in terms of boundary functions, which are a generalization of Green’s formula for solutions of the wave equation. To determine the unknown boundary functions, it is built in space Fourier transforms in time, a two-leaf resolving system linear algebraic equations, which connects 4 boundary values solution and its derivatives. Together with two boundary conditions of local and non-local type, a resolving system of equations is built for solving the stated initial-boundary value problems. On its basis, given analytical solutions for classical three boundary value problems with conditions Dirichlet, Neumann and mixed at the ends of the segment. The developed method allows solving boundary value problems with different local and nonlocal boundary conditions and must find an application change in solving wave and other equations on graphs of different structures.","PeriodicalId":225533,"journal":{"name":"BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127309664","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}
引用次数: 1
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