Information technology of higher education monitoring: a quality-based approach

The principles of information technology development for the system of higher education monitoring are considered. For education quality estimation the evidence model is built. It consists of scoring models based on stakeholders’ preferences and measurement model which is implemented using the modern measurement theory.Розглянуто принципи розробки інформаційної технології моніторинга системи вищої освіти. Побудована модель оцінювання якості освіти, що складається з оціночних моделей, основаних на вподобаннях зацікавлених осіб, та вимірювальної моделі, реалізованої засобами сучасної теорії вимірювань

High contrast homogenisation in nonlinear elasticity under small loads

We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the "stiff" material, and a "soft" material that fills the pores. We assume that the pores are of size $0<\varepsilon\ll 1$ and are periodically distributed with period $\varepsilon$. We also assume that the stiffness of the soft material degenerates with rate $\varepsilon^{2\gamma},$ $\gamma>0$, so that the contrast between the two materials becomes infinite as $\varepsilon\to 0$. We study the homogenisation limit $\varepsilon\to 0$ in a low energy regime, where the displacement of the stiff component is infinitesimally small. We derive an effective two-scale model, which, depending on the scaling of the energy, is either a quadratic functional or a partially quadratic functional that still allows for large strains in the soft inclusions. In the latter case, averaging out the small scale-term justifies a single-scale model for high-contrast materials, which features a non-linear and non-monotone effect describing a coupling between microscopic and the effective macroscopic displacements.Comment: 31 page

Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model

We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing homogenisation techniques. Our asymptotic analysis is based on a special representation of the resolvent of the operator in terms of the $M$-matrix of an associated boundary triple ("Krein resolvent formula''). The resulting asymptotic behaviour is shown to be described, up to a unitary equivalent transformation, by a non-standard version of the Kronig-Penney model on $\mathbb R$.Comment: 33 pages, 2 figure

Towards the ontology-based approach for factual information matching

Factual information is information based on facts or relating to facts. The reliability of automatically extracted facts is the main problem of processing factual information. The fact retrieval system remains one of the most effective tools for identifying the information for decision-making. In this work, we explore how can natural language processing methods and problem domain ontology help to check contradictions and mismatches in facts automatically

Towards modeling of comprehensive assessment for licensing in higher education

In the modern society information technologies, services, quality become the determinative factors of success of any business. The questions of quality management are especially relevant in social sphere, since organization oriented on quality of its processes provides the improvement of people living standards. Information computer technologies (ICT) are the powerful tool for increasing the performance of decision-making processes. Formalization of management problems and adequate mathematical models provide ICT with techniques and methods of solving the application problems in different domains and improving business performance. Higher education is a unique social and economic environment. The quality of its functioning influences many processes of successive development of society.Therefore elaboration of ICT in higher education domain remains the challenging problem for specialists in computer sciences