Integral Functionals of the Gasser–Muller Regression Function

For integral functionals of the Gasser–Muller regression function and its derivatives, we consider the plug-in estimator. The consistency and asymptotic normality of the estimator are shown.Для інтегральних функцiоналiв Функції регресії Гассера-Мюллера та їх похідних розглядається оцінка, що підключається. Встановлено обґрунтованість та асимптотичну нормальність цієї оцінки

Stable Magnetostatic Solitons in Yttrium Iron Garnet Film Waveguides for Tilted in-Plane Magnetic Fields

The possibility of nonlinear pulses generation in Yttrium Iron Garnet thin films for arbitrary direction between waveguide and applied static in-plane magnetic field is considered. Up to now only the cases of in-plane magnetic fields either perpendicular or parallel to waveguide direction have been studied both experimentally and theoretically. In the present paper it is shown that also for other angles (besides 0 or 90 degrees) between a waveguide and static in-plane magnetic field the stable bright or dark (depending on magnitude of magnetic field) solitons could be created.Comment: Phys. Rev. B (accepted, April 1, 2002

Far-off-resonant wave interaction in one-dimensional photonic crystals with quadratic nonlinearity

We extend a recently developed Hamiltonian formalism for nonlinear wave interaction processes in spatially periodic dielectric structures to the far-off-resonant regime, and investigate numerically the three-wave resonance conditions in a one-dimensional optical medium with $\chi^{(2)}$ nonlinearity. In particular, we demonstrate that the cascading of nonresonant wave interaction processes generates an effective $\chi^{(3)}$ nonlinear response in these systems. We obtain the corresponding coupling coefficients through appropriate normal form transformations that formally lead to the Zakharov equation for spatially periodic optical media.Comment: 14 pages, 4 figure

On occurrence of spectral edges for periodic operators inside the Brillouin zone

The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schroedinger, Maxwell, waveguide operators, etc.). Is it true that one can obtain the correct spectrum by using the values of the quasimomentum running over the boundary of the (reduced) Brillouin zone only, rather than the whole zone? Or, do the edges of the spectrum occur necessarily at the set of ``corner'' high symmetry points? This is known to be true in 1D, while no apparent reasons exist for this to be happening in higher dimensions. In many practical cases, though, this appears to be correct, which sometimes leads to the claims that this is always true. There seems to be no definite answer in the literature, and one encounters different opinions about this problem in the community. In this paper, starting with simple discrete graph operators, we construct a variety of convincing multiply-periodic examples showing that the spectral edges might occur deeply inside the Brillouin zone. On the other hand, it is also shown that in a ``generic'' case, the situation of spectral edges appearing at high symmetry points is stable under small perturbations. This explains to some degree why in many (maybe even most) practical cases the statement still holds.Comment: 25 pages, 10 EPS figures. Typos corrected and a reference added in the new versio

РАЗВИТИЕ ЛАПАРОСКОПИЧЕСКОЙ ХИРУРГИИ В НИИ СП ИМ. Н.В. СКЛИФОСОВСКОГО

Today, in connection with the development of surgical techniques, one of the main tasks is minimization of surgical trauma, reduction of postoperative complications and mortality, as well as the timing of hospital treatment of patients with maintained quality of surgical care. The widespread adoption of endoscopic surgery techniques into daily practice may help achieve the goal.Annually, we perform more than 450 laparoscopic surgeries for acute surgical diseases at the Institute, and we have performed more than 6,000 interventions since 2000. however, the laparoscopic method of surgery is not a priority, there are strict indications and contraindications, which we followed and thus avoided the development of iatrogenic complications associated with the use of this method for urgent diseases. Today, the laparoscopic technique is used in acute appendicitis, perforated gastric ulcer and duodenal ulcer, acute cholecystitis, strangulated hernia of the anterior abdominal wall, intestinal obstruction, as well as in patients with abdominal trauma. The use of the laparoscopic method in emergency abdominal surgery improves the quality of diagnosis and treatment, reduces the number of postoperative complications and mortality, as well as the time of treatment.В настоящее время в связи с развитием хирургических технологий одной из основных задач в хирургии становится минимизация операционной травмы и последующие за этим сокращение количества послеоперационных осложнений и летальности, а также сроков стационарного лечения больных с сохранением качества хирургической помощи. Достигнуть этой цели в абдоминальной хирургии возможно при широком и повсеместном внедрении в повседневную практику эндохирургических технологий.В институте им. Н.В. Склифосовского ежегодно по поводу острой хирургической патологии выполняется более 450 лапароскопических операций, а общее их число с 2000 г. — свыше 6000 вмешательств. Однако лапароскопический метод в хирургии не является приоритетным, к нему существуют строгие показания и противопоказания, соблюдение которых позволило нам избежать развития ятрогенных осложнений, связанных с применением этого метода при ургентной патологии. На сегодняшний день лапароскопическая техника используется при остром аппендиците, прободных язвах желудка и двенадцатиперстной кишки, остром холецистите, ущемленных грыжах передней брюшной стенки, кишечной непроходимости, а также у пострадавших с абдоминальной травмой. Использование лапароскопического метода в экстренной абдоминальной хирургии способствует улучшению качества диагностики и лечения, уменьшению количества послеоперационных осложнений и летальности, а также сокращению сроков лечения больных

Testing Random Numbers With Periodic Structures

We investigate the effect of random and nonrandom disorder on the properties of periodic media. Specifically, we show that the complex transmission is particularly sensitive to whether the disorder is truly random or not. We exploit this effect as a flexible and efficient test to detect subtle biases in sequences of random numbers. Based on this approach, we suggest the implementation of a simple physical device requiring single-frequency analysis. © EDP Sciences

Testing random numbers with periodic structures

We investigate the effect of random and nonrandom disorder on the properties of periodic media. Specifically, we show that the complex transmission is particularly sensitive to whether the disorder is truly random or not. We exploit this effect as a flexible and efficient test to detect subtle biases in sequences of random numbers. Based on this approach, we suggest the implementation of a simple physical device requiring single-frequency analysis

Development of the composition of chocolate mass that resistant to bloom

Chocolate or used as a coating on the surface of the sweets chocolate mass when exposed to a temperature drop and/or a drop in the humidity of the environment, change color, lose gloss and acquire an unwanted grayish-white surface. The loss of the appearance of chocolate – the effect of bloom is the reason for the return of products from the trading network causing highly tangible the economic damage to the producers. In this connection, experimental researches devoted to the problem of preventing bloom and developing consist of chocolate masses preclusion to bloom appear to be an urgent task. The purpose of the research is develop consist of chocolate and covering chocolate resistant to bloom. The work is performed at the Scientific research institute of «Applied research of innovative technologies and food quality» of Plekhanov Russian University of Economics. For an investigation, samples of chocolate and covering chocolate based on cocoa butter were made in the formulation of which an additive including milk fat/isomalt/polydextrose. The control samples were dark chocolate and covering chocolate prepared according to a unified formula. For the formation of blooming, the samples were exposed to temperature fluctuations and relative humidity. The measurement of the color of chocolate is implementation by an instrumental method based on the analysis of the optical characteristics of the product. The coefficients of reflection spectra of samples of chocolate were converted into color coordinates of space CIEL ? a ? b* 1976. The emergence of a bloom of chocolate by changing the parameter lightness L ? (CIEL ? a ? b*) was diagnosed. The effect of introducing an additive, including milk fat/isomalt/polydextrose on fat and sugar bloom, was determined in the formulation of chocolate masses. Based on research the consist of the chocolate mass has been developed which practically does not change the taste of the finished chocolate products with a significantly reduced amount of sugar in the consist that can withstand storage at 0 to 25 °C and 85% relative humidity without external signs of bloom