Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 14)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 17)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

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Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics
Number of Followers: 0  

  This is an Open Access Journal Open Access journal
ISSN (Print) 1812-5409 - ISSN (Online) 2218-2055
Published by Taras Shevchenko National University of Kyiv Homepage  [2 journals]
  • Analytical properties of sample paths of some stochastic processes

    • Authors: I. V. Rozora
      Pages: 11 - 15
      Abstract: The study of the analytical properties of random processes and their functionals, without a doubt, was and remains the relevant topic of the theory of random processes. The first result from which the study of the local properties of random processes began is Kolmogorov’s theorem on sample continuity with probability one. The classic result for Gaussian random processes is Dudley’s theorem. This paper is devoted to the study of local properties of sample paths of random processes that can be represented as a sum of squares of Gaussian random processes. Such processes are called square-Gaussian. We investigate the sufficient conditions of sample continuity with probability 1 for square-Gaussian processes based on the convergence of entropy Dudley type integrals. The estimation of the distribution of the continuity module is studied for square-Gaussian random processes. It is considered in detail an example with an estimator (correlogram) of the covariance function of a Gaussian stationary random process. The conditions on continuity of correlogram’s trajectories with probability one are found and the distribution of the continuity module is also estimated.Key words: Gaussian process, square-Gaussian process, correlogram, sample continuity.Pages of the article in the issue: 11 - 15Language of the article: Ukrainian

      DOI: 10.17721/1812-5409.2020/4.1
  • On Hasse diagrams connected with the poset (1, 2, 7)

    • Authors: M. V. Stoika, M. V. Styopochkina
      Pages: 16 - 19
      Abstract: Representations of posets introduced in 1972 by L. O. Nazarova and A. V. Roiter, arise when solving many problems in various fields of mathematics. One of the most important problem in the theory of representations of any objects is a description of the cases of representation finite type and representation tame type. The first of these problems for posets was solved by M. M. Kleiner, and the second L. O, Nazarova. M. M. Kleiner proved that a poset has finite type if and only if it does not contain subsets of the form (1, 1, 1, 1), (2, 2, 2), (1, 3, 3), (1, 2, 5) and (И, 4), which are called the critical sets. A generalization of this criterion to the tame case was obtained by L. O. Nazarova. The corresponding sets are called supercritical and they consist of the posets (1, 1, 1, 1, 1), (1, 1, 1, 2), (2, 2, 3), (1, 3, 4), (1, 2, 6) and (И, 5). V. M. Bondarenko proposed a generalization of the critical and supercritical posets, calling them 1-oversupercritical. This paper studies the combinatorial properties of one of such sets.Key words: poset, graph, critical and supercritical poset, 1-oversupercritical poset, anti-isomorphism, Hasse diagrams, minimax equivalence.Pages of the article in the issue: 16 - 19Language of the article: English

      DOI: 10.17721/1812-5409.2020/4.2
  • Імовірнісні моделі менеджменту водними
           ресурсами на урбанізованих територіях

    • Authors: N. M. Kizilova, N. L. Rychak
      Pages: 22 - 27
      Abstract:  Поступові глобальні зміни клімату ставлять перед математичними науками нові задачі, які пов’язані з прогнозуванням метеорологічних умов, підготовкою інфраструктури до можливих злив, штормів, посух та ін. несприятливих подій. Одними з найбільш поширених підходів є синтетичні регресійно-імовірнісні моделі, які використовують просторово-часові функції густини імовірності опадів. В роботі такий підхід застосований до статистичних даних кількості опадів в Харківській області, яка показує тенденції до поступового підвищення температури повітря, високі індекси водного стресу, індекси загроз посух і повеней. Відкриті дані о розподілах температур і кількості опадів оброблено за допомогою різних імовірнісних статистик. Показано, що логнормальний розподіл найбільш точно відповідає даним вимірювань і дозволяє робити точніші прогнози. Проведені оцінки ймовірностей посух і повеней в Харківській області при різних сценаріях динаміки змін клімату. Результати дослідження мо...
      DOI: 10.17721/1812-5409.2020/4.3
  • Характеристична задача Коші з
           передісторією у випадку нелінійних
           диференціальних рівнянь у частинних

    • Authors: O. I. Kohutych, V. V. Marynets
      Pages: 28 - 33
      Abstract: Будується конструктивний метод дослідження та наближеного розв'язання нелінійної задачі Гурса з передісторією. Одержано достатні умови існування, єдиності та знакосталості розв'язку розглядуваної задачі.
      DOI: 10.17721/1812-5409.2020/4.4
  • Метод швидкого пошук патерна в потоці

    • Authors: I. O. Zavadskyi
      Pages: 36 - 39
      Abstract: Описано родину алгоритмів швидкого пошуку заданої послідовності бітів у бітовому потоці, який зберігається в пам’яті, умовно поділеній на байти та машинні слова. Ці алгоритми базуються на алгоритмах швидкого пошуку в тексті на 256-символьному алфавіті родини RZ. За швидкодією запропоновані алгоритми перевершують всі відомі аналоги для всіх довжин патерна від 20 до 500.
      DOI: 10.17721/1812-5409.2020/4.5
  • Analytical solution and adaptation to the parameter estimation of the SIR

    • Authors: S. M. Ivanov
      Pages: 40 - 43
      Abstract: The article deals with analytical solution and adaptation to the parameter estimation of the SIR model of the epidemic. By a special replacement of the exponential function by inverse proportionality, the approximate general solution of the SIR model is found. It is spoken in detail about the process of integration of ordinary differential equations of the SIR model. The equality of the sum of the obtained analytical solutions and population size is checked. The obtained solutions are simple and understandable. To parametrically estimate the SIR model, its general solution is adapted to paired linear regressions. The article is of interest for students, graduate students and scientists involved in mathematical epidemiology.Key words: SIR model, parameter estimation, analytical solution.Pages of the article in the issue: 40 - 43Language of the article: Ukrainian
      DOI: 10.17721/1812-5409.2020/4.6
  • Про одну методику оцінювання
           ефективності рекламного тексту

    • Authors: E. V. Іvоhіn, Y. O. Naumenko, A. M. Marchuk
      Pages: 44 - 48
      Abstract: У статті на прикладі аналізу текстів розглядається методика оцінки ефективності текстового змісту рекламних повідомлень. В основу запропонованої методики покладено лінгвістичні принципи, в рамках яких ефективність повідомлення аналізується з урахуванням декодування інформації цільовим адресатом повідомлення. Процедура оцінювання ґрунтується на виділенні в тексті ключових слів та фраз. Для оцінки якості змісту рекламного повідомлення використано аналог методу механічної перевірки релевантності тексту пошуковою системою, який було розширено параметрами експертної оцінки структури тексту. В якості матеріалу для дослідження розглянуто тексти, що використовуються при SEO просуванні інформаційних ресурсів.
      DOI: 10.17721/1812-5409.2020/4.7
  • Автоматизований аналіз
           освітньо-професійної програми
           «Інформатика», що реалізується на
           факультеті комп’ютерних наук та
           кібернетики, з програмами інших
           закладів вищої освіти за спеціальністю
           122 «Комп’ютерні науки»

    • Authors: L. L. Omelchuk, N. G. Rusina
      Pages: 49 - 62
      Abstract: У статті наведено порівняльний аналіз освітньо-професійної програми «Інформатика» першого (бакалаврського) рівня вищої освіти галузі знань 12 «Інформаційні технології», спеціальності 122 «Комп’ютерні науки», що реалізується на факультеті комп’ютерних наук та кібернетики Київського національного універистету імені Тараса Шевченка з освітньо-професійними програмами того ж рівня й спеціальності інших закладів вищої освіти України. При аналізі здійснювалось їх співставлення з затвердженим стандартом першого (бакалаврського) рівня вищої освіти за спеціальністю 122 «Комп’ютерні науки». З метою проведення порівняльного аналізу авторами розроблено базу даних освітніх програм. Результатом дослідження є перевірка освітньої програми «Інформатика» на повноту та достатність. Проаналізовано співвідношення компетентностей та дисциплін в різних програмах за спільною спеціальністю.
      DOI: 10.17721/1812-5409.2020/4.8
  • The optimal algorithm for dynamic support of the Voronoi Diagram for a set
           of points

    • Authors: V. N. Tereshchenko, A. A. Marchenko, Y. V. Tereshchenko, A. N. Tara
      Pages: 63 - 68
      Abstract: The article is devoted to the development of a dynamic data structure for solving proximity problems based on the dynamic Voronoi Diagram. This data structure can be used as the core of the common algorithmic space model for solving a set of visualization and computer modeling problems.The data structure is based on the strategy of "divide and rule" for Voronoi diagram construction. Similar to the original algorithm, we store a binary tree that represents the Voronoi diagram, but define three new operations: insert, delete, and balance. To ensure the efficiency of operations, it is proposed to use red-black tree. In general, the proposed data structure shows much better results than the original static algorithm. Compared to existing algorithms, this data structure is both simple and efficient.Key words: dynamic data structures, algorithm, divide and conquer, Voronoi diagram, nearest neighbour, model of common algorithmic space.Pages of the article in the issue: 63 - 68Language of the article: English
      DOI: 10.17721/1812-5409.2020/4.9
  • Control and diagnosis methods for the information system of the enterprise
           on the principle of adaptive accumulation of diagnostic information

    • Authors: V. V. Sobchuk, O. V. Barabash, A. P. Musienko, O. A. Kapustian
      Pages: 69 - 78
      Abstract: The paper proposes a methodology for building an effective system of self-diagnostics of information systems on the example of Ukrainian enterprises in the metallurgical, energy and chemical industries.The article shows that if the dependence of the probability of issuing information on the time of execution of the element of elementary checks is known, it is enough to carry out checks within a predetermined time, when a given probability value is given.It is investigated that in the information system of the enterprise the self-control organized by means of elementary checks occurs at arbitrary moments of time of functioning of modules on purpose and the relation of probability of delivery of the information which occurs by comparison of deviations from average values.Criteria for the adequacy of diagnostic information in the absence of restrictions on the implementation of basic tests and in the presence of restrictions on the implementation of basic tests.Key words: functional stability, diagnosis, adaptive diagnosis, sufficiency of diagnostic information.Pages of the article in the issue: 69 - 78Language of the article: Ukrainian
      DOI: 10.17721/1812-5409.2020/4.10
  • The properties of the queuing model with the parallel structure

    • Authors: O. A. Chechelnitsky
      Pages: 79 - 82
      Abstract: The present article is devoted to research the multi-channelk model with the parallel structure. It means that we consider the model which consists of two infinite-server queues.The service time in the each system has general function of distribution. In this case the stochastic dynamic of our model cannot be defined by Markov chain. As a result, analysis of such models is much more difficult than that of the corresponding Markovian queueing models. Besides we assume that customers arrive to our model according a bivariate Poisson input flow. This input process is characterized by the fact that customers arrive according to a bivariate Poisson flow simultaneously. We consider the number of customers in the systems at time t. This stochastic process describes the state of our model. In present paper we find the limit joint distribution of the number of customers in the systems. In a general way (by differentiating the corresponding generating function.) we obtain the main characteristics of this distribution, such as the expected number of customers in the nodes, its variance and correlation. In the case when parameters of our model dependent on the parameter n (number of series) the limit normal distribution was obtained for the service process in the stationary regime.Key words: network model, bivariate input flow, stationary distribution.Pages of the article in the issue: 79 - 82Language of the article: Ukrainian
      DOI: 10.17721/1812-5409.2020/4.11
  • Investigation by X-ray photoelectron spectroscopy of the process of TiC
           synthesis during annealing of ТiН2/ТiО2/С in vacuum

    • Authors: T. V. Kryshchuk, O. M. Korduban, V. M. Ogenko, M. M. Medvedskij
      Pages: 85 - 94
      Abstract: Small dimensional transition metal carbides (MXenes) are promising materials for the development of photocatalysts and are highly efficient cocatalysts for industrial TiO_2 (P25). Thus, in the Ti_3C_2@TiО_2 nanocomposite obtained by layering Ti_3C_2 nanoplates, the ability to separate charge carriers increases due to the high electrical conductivity of TiC_{1-х}. The task of forming the TiC_{1-х}@TiО_{2-х} nanocomposite by direct synthesis with n-TiO_2 is promising, which allows to increase the quality of contact between the shell and the nanocomposite core and to reduce the number of intermediate stages of synthesis. In addition, highly dispersed TiC has high values of hardness, melting point, modulus of elasticity and shear and has the prospect of use in materials science in plasma spraying coatings. In work ТіС was synthesized on the surface of TiO_2 - the shell of the modified micropowder TiH_2/TiO_2/С during reductive annealing in vacuum using TiH_2 as a source of atomic hydrogen. After a series of annealing at 535 ºС - 600 ºС, the Ti2p- C1s- and O1s- spectra of surface atoms were obtained. The main stages of TiC synthesis in the TiO_2/С conversion reaction were established by the XPS method. The use of TiH_2 as a source of atomic hydrogen in nanosystems of the «core/shell» type is proposed for local synthesis on the surface of nanoobjects in a vacuum or inert atmosphere.Key words: X-ray photoelectron spectroscopy, XPS, titanium carbide, TiC, TiO_2, nanopowders.Pages of the article in the issue: 85 - 94Language of the article: Ukrainian
      DOI: 10.17721/1812-5409.2020/4.12
  • Polarimetry of anisotropic surface layer on glass

    • Authors: A. L. Yampolskiy, O. V. Makarenko
      Pages: 95 - 98
      Abstract: Investigating the Stokes vector of light reflected from the surface of the optical glass, the presence of an anisotropic surface layer was established. The phase difference between radiation p- and s-components is revealed, which varies depending on the angle of incidence. This shows a weak anisotropy. Assuming that the anisotropic layer has an increased refractive index due to its chemical-mechanical treatment, it can be considered as some near-surface weakly guiding gradient burried waveguide. The possibility of coming radiation into such a planar waveguide using a coupling total reflection prism was investigated. The inspection showed a violation of the total internal reflection, unequal for p- and s-polarizations, which confirms the presence of the subsurface layer and its anisotropy. The absorption of radiation, which could be compared with the excitation of modes, is small. This is due to the properties of the prism material. Also, higher order modes are absorbed better. There is no significant angular dependence of the polarization degree of the output beam; however, it is higher in the case of s-polarization.Key words: polarimetry, inhomogeneity, surface layer, glass.Pages of the article in the issue: 95 - 98Language of the article: Ukrainian
      DOI: 10.17721/1812-5409.2020/4.13
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Heriot-Watt University
Edinburgh, EH14 4AS, UK
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