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Asymptotical Separation of Harmonics by Singular Spectrum Analysis 用奇异频谱分析法渐近分离谐波
IF 0.2
Vestnik St Petersburg University-Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s1063454123040118
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引用次数: 0
Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics 动力学建模问题与力学和应用数学科学领域的发展
IF 0.2
Vestnik St Petersburg University-Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s1063454123040167
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引用次数: 0
Models of Solid Mechanics in the Problems of Ophthalmology 眼科问题中的固体力学模型
IF 0.2
Vestnik St Petersburg University-Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s1063454123040039
{"title":"Models of Solid Mechanics in the Problems of Ophthalmology","authors":"","doi":"10.1134/s1063454123040039","DOIUrl":"https://doi.org/10.1134/s1063454123040039","url":null,"abstract":"<span> <h3>Abstract</h3> <p>This paper presents a very brief review of models constructed in cooperation with ophthalmologists, namely, for the change in the stress-strain state of the eye membrane after vision-correction operations and the change in the intraocular pressure after the injection of drugs into the vitreous body. The mathematical models describing the process of measuring the true intraocular pressure (IOP) by applanation methods are discussed. The models of eye biomechanics provide the possibility to obtain a series of new results in solid mechanics, i.e., to solve the problem of the stability of a spherical shell under a concentrated force and inner pressure and the stability of an axisymmetric equilibrium state of inhomogeneous annular orthotropic plates under a uniformly distributed normal load. The problems of the deformation of transversally isotropic spherical and cylindrical layers under inner and outer pressure are analyzed and the solutions obtained within the framework of the three-dimensional theory are compared with those found by the non-classical theories of shells. This comparison makes it possible to estimate the precision of some theories.</p> </span>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"386 1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139558054","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
Review of Works by V. A. Yakubovich’s Scientific School on Artificial Intelligence and Robotics V. A. 雅库博维奇人工智能和机器人科学学校作品回顾
IF 0.2
Vestnik St Petersburg University-Mathematics Pub Date : 2023-12-01 DOI: 10.1134/s106345412304009x
{"title":"Review of Works by V. A. Yakubovich’s Scientific School on Artificial Intelligence and Robotics","authors":"","doi":"10.1134/s106345412304009x","DOIUrl":"https://doi.org/10.1134/s106345412304009x","url":null,"abstract":"<span> <h3>Abstract</h3> <p>This is a review of the works of the research school of V.A. Yakubovich in the field of artificial intelligence, machine learning, adaptive systems, and robotics. The method of recurrent objective inequalities is considered in detail. The significance of the presented results for the further development of cybernetics and artificial intelligence is discussed. Special emphasis is put on Yakubovich’s seminal works on machine learning and development of the concept of finitely convergent algorithms for solving recurrent objective inequalities. Typical results of their convergence are discussed in detail as a specific illustration. The study distinguishes the contribution of the school to the formation and development of modern theories of adaptive control and mathematical robotics, particularly, the theory of adaptive robots. A special section is devoted to adaptive suboptimal control.</p> </span>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139558065","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
Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups 无扭阿贝尔群自同态环的矩阵表示
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030032
E. A. Blagoveshchenskaya, A. V. Mikhalev
{"title":"Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups","authors":"E. A. Blagoveshchenskaya, A. V. Mikhalev","doi":"10.1134/s1063454123030032","DOIUrl":"https://doi.org/10.1134/s1063454123030032","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134994522","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
Computer Analysis of a Model of a Synchronous No-Current Electric Motor 同步无电流电动机模型的计算机分析
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030056
B. I. Konosevich, Yu. B. Konosevich
{"title":"Computer Analysis of a Model of a Synchronous No-Current Electric Motor","authors":"B. I. Konosevich, Yu. B. Konosevich","doi":"10.1134/s1063454123030056","DOIUrl":"https://doi.org/10.1134/s1063454123030056","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134994706","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
Rigid-Body Dynamics from the Euler Equations to the Attitude Control of Spacecraft in the Works of Scientists from Saint Petersburg State University. Part 1 从欧拉方程到航天器姿态控制的刚体动力学在圣彼得堡国立大学科学家的著作中。第1部分
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030081
A. A. Tikhonov
{"title":"Rigid-Body Dynamics from the Euler Equations to the Attitude Control of Spacecraft in the Works of Scientists from Saint Petersburg State University. Part 1","authors":"A. A. Tikhonov","doi":"10.1134/s1063454123030081","DOIUrl":"https://doi.org/10.1134/s1063454123030081","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134994429","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 the Probabilities of Large Deviations of Combinatorial Sums of Independent Random Variables That Satisfy the Linnik Condition 满足Linnik条件的独立随机变量组合和的大偏差概率
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030044
A. N. Frolov
{"title":"On the Probabilities of Large Deviations of Combinatorial Sums of Independent Random Variables That Satisfy the Linnik Condition","authors":"A. N. Frolov","doi":"10.1134/s1063454123030044","DOIUrl":"https://doi.org/10.1134/s1063454123030044","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134994702","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
Scientific School of Nonequilibrium Aeromechanics at St. Petersburg State University 圣彼得堡国立大学非平衡空气力学科学学院
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030111
Yu. N. Voroshilova, V. A. Istomin, O. V. Kunova, E. V. Kustova, E. A. Nagnibeda, M. A. Rydalevskaya
{"title":"Scientific School of Nonequilibrium Aeromechanics at St. Petersburg State University","authors":"Yu. N. Voroshilova, V. A. Istomin, O. V. Kunova, E. V. Kustova, E. A. Nagnibeda, M. A. Rydalevskaya","doi":"10.1134/s1063454123030111","DOIUrl":"https://doi.org/10.1134/s1063454123030111","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"77 11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134995302","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
Inequalities for the Derivatives of Rational Functions with Prescribed Poles and Restricted Zeros 具有规定极点和限制零的有理函数导数的不等式
Vestnik St Petersburg University-Mathematics Pub Date : 2023-09-01 DOI: 10.1134/s1063454123030020
U. M. Ahanger, W. M. Shah
{"title":"Inequalities for the Derivatives of Rational Functions with Prescribed Poles and Restricted Zeros","authors":"U. M. Ahanger, W. M. Shah","doi":"10.1134/s1063454123030020","DOIUrl":"https://doi.org/10.1134/s1063454123030020","url":null,"abstract":"","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134994698","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
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