Розробленно лiнгвометричний метод алгоритмiчного забезпечення процесiв контент-монiторiнгу для розв'язання задачi автоматичного визначення автора україномовного текстового контенту на основi технологiї статистичного аналiзу коефiцiєнтiв мовної рiзноманiтностi. Проведено декомпозицiю методу визначення автора на основi аналiзу таких коефiцiєнтiв мовлення як лексична рiзноманiтнiсть, ступiнь (мiра) синтаксичної складностi, зв'язнiсть мовлення, iндекси винятковостi та концентрацiї тексту. Проаналiзованi також параметри авторського стилю як кiлькiсть слiв у певному текстi, загальна кiлькiсть слiв цього тексту, кiлькiсть речень, кiлькiсть прийменникiв, кiлькiсть сполучникiв, кiлькiсть слiв iз частотою 1, та кiлькiсть слiв iз частотою 10 та бiльше. Особливостями розробленого є адаптацiя морфологiчного та синтаксичного аналiзу лексичних одиниць до особливостей конструкцiй україномовних слiв/текстiв. Тобто при аналiзi лiнгвiстичних одиниць типу слiв враховувалась належнiсть до частини мови та вiдмiнювання в межах цiєї частини мови. Для цього провадився аналiз флексiй цих слiв для класифiкацiї, видiлення основи для формування вiдповiдних алфавiтно-частотних словникiв. Наповнення цих словникiв в подальшому враховувалися на наступних кроках визначення авторства тексту як розрахунок параметрiв та коефiцiєнтiв авторського мовлення. Для iндивiдуального стилю письменника показовими є саме службовi (стоповi або опорнi) слова, оскiльки вони нiяк не пов'язанi з темою i змiстом публiкацiї. Проведено порiвняння результатiв на множинi 200 одноосiбних робiт технiчного спрямування бiля 100 рiзних авторiв за перiод 2001-2017 рр. для визначення, чи змiнюються i як коефiцiєнти рiзноманiтностi тексту цих авторiв в рiзнi промiжки часу. Виявлено, що для обраної експериментальної бази з понад 200 робiт найкращих результатiв за критерiєм щiльностi досягає метод аналiзу статтi без початкової обов'язкової iнформацiї як анотацiї та ключовi слова рiзними мовами, а також списку лiтератури Ключовi слова: NLP, контент-монiторiнг, стоп-слова, контент-аналiз, статистийний лiнгвiстичний аналiз, квантитативна лiнгвi стика
To increase the protection of engineering structures from the impact of projectiles, it is proposed to use an elastic reinforcement of the outer surface of the coating. It is shown that its use significantly reduces the dynamic deflection of the structure, and, on the contrary, its protective properties. The results are based on an analytical analysis of the constructed mathematical model of dynamics of an elastically reinforced upper part of the protective structure under the condition of a shock effect on it of the projectile. The results obtained simultaneously, under certain constraints, may be the basis for studying the dynamics of the specified structure from the action of a shock wave or a series of strikes of projectiles.
Complex nonlinear oscillations in the elastic bodies are studied using a priori information about the oscillations form and taking into account a refined mathematical model of the second (other) form of oscillations. Application of existing methods or development of the new ones for the analysis of received non-autonomous boundary value problems is proposed. The effectiveness of the practical implementation of the discussed methodology significantly increases in cases where the magnitude of the elastic body displacements due to the one form of oscillations is much higher than the other one. To analyze the problem one can use the well-known tested analytical methods for the systems with the small nonlinearity. Torsional and bending oscillations of the elastic body are shown as the example. It is also demonstrated that especially dangerous resonant processes can be caused not only by the external perturbations but also by the internal influence between some forms of oscillations. The obtained results allow to choose the basic technological and operational parameters of the machine oscillating elements in order to avoid the resonance phenomena.
The technique of research of dynamic processes of elements of engineering constructions of special purpose from explosive action of projectiles is developed. Elastically reinforced beams with hinged ends were chosen for the physical model of elements of engineering structures. It is assumed that the elastic properties of the latter satisfy the nonlinear technical law of elasticity. A mathematical model of the process of a series of impact actions of projectiles at different points of the element of the protective structure is constructed. The latter is a boundary value problem for a partial differential equation. Its peculiarity is that the external dynamic action is a discrete function of linear and time variables. To determine the dynamic effect of a series of impacts on the object under study, and thus the level of protection of the structure, the basic ideas of perturbation theory methods are extended to new classes of systems. This allowed to obtain an analytical dependence of the deformation of the elastically reinforced element on the basic physical and mechanical characteristics of the material of the protective element, its reinforcement and the characteristics of the external action of the projectiles. It is shown that the most dangerous cases, given the security of the structure, are those when the impact is repeated at equal intervals, in addition, the point of impact is closer to the middle of the protective element. The obtained theoretical results can be the basis for selection at the stage of designing the main physical and mechanical characteristics of the elements of engineering structures and their reinforcement in order to reliably protect personnel and equipment from the maximum possible impact on it of the shock series of projectiles. The reliability of the obtained results is confirmed by: a) generalization of widely tested methods to new classes of dynamical systems; b) obtaining in the limit case the consequences known in scientific sources concerning the linearly elastic characteristics of the elements of protective structures; c) their consistency with the essence of the physical process itself, which is considered in the work.
In the rectangle with known boundary we consider a coefficient inverse problem for the degenerate parabolic equation with given initial condition, Dirichlet boundary conditions and the values of the heat moments as the overdetermination conditions. The minor coefficient of the equation is a polynomial of the first power with respect to the space variable with two unknown time-dependent coefficients. The degeneration of the equation is caused by the power function at the time derivative. Applying the Schauder fixed-point theorem we establish conditions of existence of the classical local in time solution to this problem. The global uniqueness is based on the properties of the solutions of the integral Voltera equations of second kind with integrable kernels. The case of weak degeneration is investigated.
природничих дисциплін у ЗВО. БУРЧАК Станіслав Олександрович -кандидат педагогічних наук, доцент, докторант, доцент кафедри фізико-математичної освіти та інформатики Глухівського національного педагогічного університету імені Олександра Довженка. Наукові інтереси: методика навчання математики, методика навчання інформатики, використання інформаційно-комунікаційних технологій в курсі математики. INFORMATION ABOUT THE AUTHOR BURCHAK Liana Volodymyrivna -Ph. D. (Pedagogic) Docent of Biology and agriculture groundings Departament Oleksandr Dovzhenko Hlukhiv national pedagogical university.Circle of research interests: professional preparation of the future teacher for research activities in the higher education system, problems of methodology of teaching natural sciences in the HSE.BURCHAK Stanislav Oleksandrovych -Ph. D. (Pedagogic) Docent of physical and mathematical education and informatics Departament Oleksandr Dovzhenko Hlukhiv national pedagogical university.Circle of research interests: mathematics teaching methods, informatics teaching methods, use of information and communication technologies in mathematics course.
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