On the spatially periodic ordering in the system of electrons above the surface of liquid helium in an external electric field

A theory of equilibrium states of electrons above a liquid helium surface in the presence of an external clamping field is built based on the first principles of quantum statistics for the system of many identical Fermi-particles. The approach is based on the variation principle modified for the considered system and on Thomas-Fermi model. In terms of the developed theory we obtain the self-consistency equations that connect the parameters of the system description, i.e., the potential of a static electric field, the distribution function of electrons and the surface profile of a liquid dielectric. The equations are used to study the phase transition of the system to a spatially periodic state. To demonstrate the capabilities of the proposed method, the characteristics of the phase transition of the system to a spatially periodic state of a trough type are analyzed.Comment: 11 pages, 2 figures, 1 tabl

Analysis of image segmentation methods

В даній роботі розглянуті методи сегментації зображень. Проведений їх порівняльний аналіз.In this work reviewed the methods of image segmentation. Their comparative analysis was carried out

Analysis of Fracture Characteristic of a Gas Main Pipe on the Basis of the Additive Mathematical Model of the Cyclic Random Process and Polynomial Function

The use of a mathematical model to describe the phenomenon of dynamic fracture of the gas main in a broad range of crack propagation rates is substantiated, taking into account the stochastic and cyclic nature of this process. Particular attention is paid to the reliability of the proposed approach, which is evaluated based on comparison with known natural experiments

Freedom of Contract and Informed Consent as Part of Contract for Healthcare Services

Relationships between patient and physician did not possess a clearly-established form until the late 19th century, being primarly based upon a reciprocal trust. In terms of contemporary civil law, relationship between the patient and the physician or a hospital is based upon a contract for medical services. Thus, liability of the physicians for negligence within exercising their duties is either based on contract (in case such contract is concluded by the parties), or on tort (when there is no such contract). This study discusses freedom of contract with the focus of the patient’s informed consent as a part for a contract for medical services between the patient and a physician or a hospital. The aim of this article is to discuss doctrinal views of patient-physician relationships and the informed consent as an inalienable part of a contract for medical services