The Role of the Constitutional Court in the Implementation of the Principle of Checks and Balances System

The article deals with the analysis of the place and role of the Constitutional Court in the system of separation of powers, for the effective implementation of the system of checks and balances. The institutional and legal model of interaction of constitutional justice authorities with legislative and executive bodies is formulated on the basis of the comparative legal analysis of the regulatory legal acts establishing the powers of constitutional jurisdiction authorities in the mechanism of implementation of the system of checks and balances on the example of different countries with different forms of government, a number of conclusions and suggestions are provided

Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields

We consider a family of vector fields and we assume a horizontal regularity on their derivatives. We discuss the notion of commutator showing that different definitions agree. We apply our results to the proof of a ball-box theorem and Poincar\'e inequality for nonsmooth H\"ormander vector fields.Comment: arXiv admin note: material from arXiv:1106.2410v1, now three separate articles arXiv:1106.2410v2, arXiv:1201.5228, arXiv:1201.520

SYSTEM OF ANAESTHETIC SUPPORT AT LARGE JOINT REPLACEMENT SURGERIES

The operation of total endoprosthesis replacement of large joints is associated with several anesthetic problems. Solving these problems ensures the safety of these highly traumatic operations and requires the solution of the following anesthetic tasks in the perioperative period: high degree of antinociceptive protection of patients with effective relaxation of the surgical intervention area; prevention of fatty hyperglobulinemia; decrease in the volume of perioperative hemorrhage and prophylaxis of thrombogenic complications. We developed our own program of anesthetic maintenance at major joints replacement. The components of the program are: the type of anesthesia - spinal anesthesia preservation of spontaneous respiration; our method of fat globulinemia prevention, based on maintaining the functional stability of the hepatocyte; our own method of replacement of peri-operative blood loss, based on the additional principle of "normalization of the oncotic blood pressure". Before the operation, patients receive a solution of tranexamic acid at a dose of 10 mg/kg of body mass to inhibit proteolysis (blood preservation technology). This method provides a "dry" operating field, reducing intraoperative hemorrhage. In the early postoperative period (5 hours after the surgery), under the control of whole blood clotting time, patients receive low molecular weight heparin Clexane at a therapeutic dosage of 1 mg/kg of body weight. This provides effective prevention of thrombogenic complications. The application of the developed technique shows its high clinical effectiveness. Over the past 5 years, 5,800 operations for large joint prosthetics have been performed, including 3,200 total hip replacement operations, 2,600 total knee replacement operations. There were no complications with a fatal outcome, in 5 cases fatty hyperglobulinemia was noted, which was stopped by the own method of treatment. There are no thrombogenic complications

Regularity of harmonic discs in spaces with quadratic isoperimetric inequality

We study harmonic and quasi-harmonic discs in metric spaces admitting a uniformly local quadratic isoperimetric inequality for curves. The class of such metric spaces includes compact Lipschitz manifolds, metric spaces with upper or lower curvature bounds in the sense of Alexandrov, some sub-Riemannian manifolds, and many more. In this setting, we prove local Hölder continuity and continuity up to the boundary of harmonic and quasi-harmonic discs

Area minimizing discs in metric spaces

We solve the classical problem of Plateau in the setting of proper metric spaces. Precisely, we prove that among all disc-type surfaces with prescribed Jordan boundary in a proper metric space there exists an area minimizing disc which moreover has a quasi-conformal parametrization. If the space supports a local quadratic isoperimetric inequality for curves we prove that such a solution is locally Hölder continuous in the interior and continuous up to the boundary. Our results generalize corresponding results of Douglas Radò and Morrey from the setting of Euclidean space and Riemannian manifolds to that of proper metric spaces

Элемент согласования волноводной линии передачи с диодом

The article deals with the issues of matching a waveguide transmission line with millimeter wave diodes. The implementation of the transition of a rectangular waveguide to a microstrip switching line in the form of a line of the fin-line type is described. The computer simulation results of the transmission coefficient module of the developed element and the standing wave coefficient by voltage separately for the transition from a rectangular waveguide to a microstrip transmission line and as part of an amplitude detector are shown. A joint application of the developed element with a microstrip detector based on a Schottky diode in the frequency range from 118.1 to 178.4 GHz is proposed. The results of measuring its parameters and the results of determining the sensitivity are given, as well as the evaluation of the results obtained is performed. The obtained results proved the possibility of using the matching element of a waveguide transmission line with a diode in the millimeter wavelength range. Рассмотрены вопросы согласования волноводной линии передачи с диодами миллиметрового диапазона длин волн. Описана реализация перехода с прямоугольного волновода на микрополосковую линию передачи в виде линии типа фин-лайн. Показаны результаты компьютерного моделирования модуля коэффициента передачи разработанного элемента и коэффициента стоячей волны по напряжению отдельно перехода с прямоугольного волновода на микрополосковую линию передачи и в составе амплитудного детектора. Представлена реализация совместного применения разработанного элемента с микрополосковым детектором на базе диода Шоттки в диапазоне частот от 118,1 до 178,4 ГГц. Приведены результаты измерения его параметров и определения чувствительности. При оценке полученных данных подтверждена возможность применения разработанного элемента согласования волноводной линии передачи с диодом в миллиметровом диапазоне длин волн