Herald of Tver State University. Series: Applied Mathematics最新文献_第3页

Application of frequency characteristics to determine the authorship of literary texts 应用频率特征来确定文学文本的作者

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-08-08 DOI: 10.26456/vtpmk637

Валерий Юрьевич Суетин

引用次数: 0

Generalization and unification of the concepts of remainder of division and fractional part, maximization of entropy of fractional part of convolution with uniform distribution 除法余数和分数部分概念的推广与统一，均匀分布卷积分数部分熵的最大化

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-04-28 DOI: 10.26456/vtpmk628

Александр Евгеньевич Кондратенко, Виталий Николаевич Соболев

引用次数: 0

On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator 一类新的准流体动力系统精确解，由二维拉普拉斯算子的特征函数生成

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-04-28 DOI: 10.26456/vtpmk631

Вера Владимировна Григорьева, Юрий Владимирович Шеретов

{"title":"On a new class of exact solutions of Quasi-Hydrodynamic system, generated by eigenfunctions of two-dimensional Laplace operator","authors":"Вера Владимировна Григорьева, Юрий Владимирович Шеретов","doi":"10.26456/vtpmk631","DOIUrl":"https://doi.org/10.26456/vtpmk631","url":null,"abstract":"Квазигидродинамическая система была предложена Шеретовым Ю.В. в 1993 году. Она отличается от системы Навье-Стокса в динамике вязкой несжимаемой жидкости дополнительными дивергентными членами. В работе методом Громеки-Бельтрами построено новое однопараметрическое семейство точных решений квазигидродинамической системы, которые удовлетворяют также системе Навье-Стокса. Это семейство порождается собственной функцией двумерного оператора Лапласа.\u0000 The quasi-hydrodynamic system was proposed by Sheretov Yu.V. in 1993. It differs from the Navier-Stokes system in dynamics of a viscous incompressible fluid by the additional divergent terms. In this paper, the Gromeki-Beltrami method is used to construct a new one-parameter family of exact solutions of a quasi-hydrodynamic system, which also satisfy to the Navier-Stokes system. This family is generated by the eigenfunction of two-dimensional Laplace operator.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123343248","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

Features of measuring radial velocity in mixed location mode 混合定位方式测量径向速度的特点

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-04-28 DOI: 10.26456/vtpmk632

Станислав Иванович Василенко, Максим Юрьевич Кудряшов, А.В. Прокофьев, Александр Анатольевич Решетников

{"title":"Features of measuring radial velocity in mixed location mode","authors":"Станислав Иванович Василенко, Максим Юрьевич Кудряшов, А.В. Прокофьев, Александр Анатольевич Решетников","doi":"10.26456/vtpmk632","DOIUrl":"https://doi.org/10.26456/vtpmk632","url":null,"abstract":"В работе исследуется смешанный режим работы РЛС, включающий циклическую генерацию и прием отраженных импульсных сигналов разной длительности на разной несущей частоте. В таком режиме по техническим причинам происходит потеря информации об отдельных принятых импульсах. Предложен алгоритм интерполяции значений сигнала в потерянных импульсах. Алгоритм включает в себя устранение неоднозначности определения радиальной скорости цели из-за потери информации.\u0000 The paper investigates the mixed mode of operation of the radar, including cyclic generation and reception of reflected pulse signals different durations at different carrier frequencies. In this mode for technical reasons, there is a loss of information about the individual received pulses. An algorithm for interpolation of signal values in lost pulses is proposed.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126804177","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

Asymptotic expansions of solutions of singularly perturbed equations 奇摄动方程解的渐近展开式

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-04-28 DOI: 10.26456/vtpmk629

Владимир Игоревич Усков

{"title":"Asymptotic expansions of solutions of singularly perturbed equations","authors":"Владимир Игоревич Усков","doi":"10.26456/vtpmk629","DOIUrl":"https://doi.org/10.26456/vtpmk629","url":null,"abstract":"Рассматривается уравнение первого порядка в банаховом пространстве с малым параметром при производной и возмущением второго порядка малости в правой части. Строится решение задачи Коши в виде асимптотического разложения по степеням малого параметра методом Васильевой-Вишика-Люстерника. Оператор A в правой части вырожден: рассматривается случай обладания свойством иметь число 0 нормальным собственным числом и двумерным ядром; элементы ядра не имеют присоединенных. Получены формулы для вычисления компонент регулярной и погранслойной части разложения, а также условие регулярности вырождения. Доказывается асимптотичность разложения. Приводится иллюстрирующий пример.\u0000 We consider a first-order equation in a Banach space with a small parameter at the derivativeand a second-order perturbation of smallness on the right-hand side. A solution to the Cauchy problem is constructedin the form of an asymptotic expansion in powers of a small parameter by the Vasilieva-Vishik-Lyusternik method.The operator A on the right-hand side is degenerate: we consider the case of possessing the property of having a number 0 by a normal eigenvalue and a two-dimensional kernel; core elements have no attached. Formulas for calculating the components of the regular and boundary layer parts of the expansion are determined. A condition for the regularity of degeneration is obtained. The expansion is shown to be asymptotic.An illustrative example is given.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128559299","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: 52

Partial degrees of fast-growing functions 快速增长函数的偏度

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2022-04-28 DOI: 10.26456/vtpmk630

Борис Яковлевич Солон

引用次数: 0

Computational complexity of the word problem in modal algebras 模态代数中字问题的计算复杂度

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2021-12-28 DOI: 10.26456/vtpmk619

Михаил Николаевич Рыбаков

{"title":"Computational complexity of the word problem in modal algebras","authors":"Михаил Николаевич Рыбаков","doi":"10.26456/vtpmk619","DOIUrl":"https://doi.org/10.26456/vtpmk619","url":null,"abstract":"Приводится доказательство $mathrm{PSPACE}$-полноты проблемы равенства слов в классе всех нуль-порождённых модальных алгебр, или, эквивалентно, проблемы равенства константных слов в классе всех модальных алгебр.\u0000Также рассматривается вопрос о сложности равенства слов в произвольном многообразии модальных алгебр. Доказывается, что уже проблема равенства константных слов в многообразии модальных алгебр может быть сколь угодно трудной (включая как классы сложности, так и степени неразрешимости). Показано, как построить соответствующие многообразия.\u0000 The paper deals with the word problem for modal algebras.\u0000It is proved that, for the variety of all modal algebras, the\u0000word problem is $mathrm{PSPACE}$-complete if only constant modal terms or only\u0000$0$-generated modal algebras are considered.\u0000We also consider the word problem for different varieties of modal algebras.\u0000It is proved that the word problem for a variety of modal algebras can be $C$-hard, for any complexity class or unsolvability degree $C$ containing a $C$-complete problem. It is shown how to construct such varieties.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132429893","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

Data Mining algorithms in search of effective conditions for conducting chemical reactions 寻找进行化学反应的有效条件的数据挖掘算法

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2021-12-28 DOI: 10.26456/vtpmk625

В.А. Биллиг, Николай Васильевич Звягинцев

{"title":"Data Mining algorithms in search of effective conditions for conducting chemical reactions","authors":"В.А. Биллиг, Николай Васильевич Звягинцев","doi":"10.26456/vtpmk625","DOIUrl":"https://doi.org/10.26456/vtpmk625","url":null,"abstract":"В настоящее время накоплено значительное количество экспериментальных данных,\u0000фиксирующих процесс протекания химических реакций. Анализ этих данных комплексом\u0000алгоритмов Data Mining дает важную практическую информацию для поиска эффективных\u0000условий проведения реакций, при которых получается максимальное количество целевого\u0000продукта при минимальных затратах. В данной работе на примере работы с базой,\u0000содержащей данные о протекании реакции карбонилирования различных олефинов,\u0000показано, как разработанный нами программный комплекс позволяет извлечь полезные\u0000знания, способствующие повышению эффективности химических реакций.\u0000 At present, a significant amount of experimental data has been accumulated, recording the process of the occurrence of chemical reactions. Analysis of these data by a set of Data Mining algorithms provides important practical information for finding effective conditions for carrying out reactions, at which the maximum amount of the target product is obtained at minimal cost.\u0000In this paper, using the example of working with a database containing data on the course of the carbonylation reaction of various olefins, it is shown how the software package developed by us allows us to extract useful knowledge that contributes to an increase in the efficiency of chemical reactions.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"437 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126123852","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

Solving one extreme problem in a class of locally single-leaf functions 求解一类局部单叶函数中的一个极值问题

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2021-12-28 DOI: 10.26456/vtpmk623

Ольга Евгеньевна Баранова

{"title":"Solving one extreme problem in a class of locally single-leaf functions","authors":"Ольга Евгеньевна Баранова","doi":"10.26456/vtpmk623","DOIUrl":"https://doi.org/10.26456/vtpmk623","url":null,"abstract":"Центральное место в теории конформных отображений занимает решение экстремальных задач на классах однолистных отображений. В известных классах нормированных голоморфных функций $S$ и $C$ решение «проблемы коэффициентов» связано с получением точных оценок модулей тейлоровских коэффициентов элементов классов. Аналогичные задачи ставятся для классов локально однолистных отображений. В.Г.Шеретов ввел в рассмотрение классы локально конформных отображений, генерируемых с помощью интегральных структурных формул из элементов классов $S$ и $C$. В статье решена задача о точной оценке модуля тейлоровского коэффициента в этом классе.\u0000 The central place in the theory of conformal maps is occupied by the solution of extreme problems on classes of single-leaf maps. In the known classes of normalized holomorphic functions S and C, the solution of the \"coefficient problem\" is associated with obtaining accurate estimates of the modules of the Taylor coefficients of class elements. Similar problems are posed for classes of locally single-leaf mappings. V.G.Sheretov introduced classes of locally conformal mappings generated using integral structural formulas from elements of classes S and C. The article solves the problem of an accurate estimation of the modulus of the Taylor coefficient in this class.","PeriodicalId":300137,"journal":{"name":"Herald of Tver State University. Series: Applied Mathematics","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123305221","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

Truth-table Unoids not Satisfying the Urzyczyn's Conditions 不满足Urzyczyn条件的真值表Unoids

Herald of Tver State University. Series: Applied Mathematics Pub Date : 2021-12-28 DOI: 10.26456/vtpmk621

Дмитрий Ольгердович Дадеркин

引用次数: 0