Compact Inverses of The Multipoint Normal Diferential Operators For First Order

In this work, firstly all normal extensions of a multipoint minimal operator generated by linear multipoint diferential-operator expression for first order in the Hilbert space of vector functions in terms of boundary values at the endpoints of the infinitely many separated subintervals are described. Finally, a compactness properties of the inverses of such extensions has been investigated.Comment: 9 page

Synchronization, Control and Stability of Fractional Order Hyperchaotic Systems in The Context of The Generalized Memory

In the article offered fractional kinetic model of networks with generalized memory. On the basis of fractional kinetic model network with hyperchaotic systems, embedded in a percolation structure, realized task topologically synchronization. While tracing control and stability. Criterion ndash ldquoproximityrdquo capture average return time Poincare. Shows a visualization of results

Spectrum of the Direct Sum of Operators

In this work, a connection between some spectral properties of direct sum of operators in the direct sum of Hilbert spaces and its coordinate operators has been investigated.Comment: 10 page

PHASES High Precision Differential Astrometry of delta Equulei

delta Equulei is among the most well-studied nearby binary star systems. Results of its observation have been applied to a wide range of fundamental studies of binary systems and stellar astrophysics. It is widely used to calibrate and constrain theoretical models of the physics of stars. We report 27 high precision differential astrometry measurements of delta Equulei from the Palomar High-precision Astrometric Search for Exoplanet Systems (PHASES). The median size of the minor axes of the uncertainty ellipses for these measurements is 26 micro-arcseconds. These data are combined with previously published radial velocity data and other previously published differential astrometry measurements using other techniques to produce a combined model for the system orbit. The distance to the system is determined to within a twentieth of a parsec and the component masses are determined at the level of a percent. The constraints on masses and distance are limited by the precisions of the radial velocity data; we outline plans improve this deficiency and discuss the outlook for further study of this binary.Comment: Accepted by AJ. Complete versions of tables 2-7 now available at http://stuff.mit.edu/~matthew1/deltaEquTables/ (removed from astroph server

PHASES Differential Astrometry and Iodine Cell Radial Velocities of the kappa Pegasi Triple Star System

kappa Pegasi is a well-known, nearby triple star system. It consists of a ``wide'' pair with semi-major axis 235 milli-arcseconds, one component of which is a single-line spectroscopic binary (semi-major axis 2.5 milli-arcseconds). Using high-precision differential astrometry and radial velocity observations, the masses for all three components are determined and the relative inclinations between the wide and narrow pairs' orbits is found to be 43.8 +/- 3.0 degrees, just over the threshold for the three body Kozai resonance. The system distance is determined to 34.60 +/- 0.21 parsec, and is consistent with trigonometric parallax measurements.Comment: Accepted for publication in ApJ, complete versions of tables 2 and 4 can be found at http://stuff.mit.edu/~matthew1/kapPegTables

СОЧЕТАНИЕ ТЯЖЕЛОГО ТЕЧЕНИЯ ЯЗВЕННОЙ БОЛЕЗНИ И ГЕМОФИЛИИ В У РЕБЕНКА. КЛИНИЧЕСКОЕ НАБЛЮДЕНИЕ

Gastroduodenal ulcer is less common and milder in children than in adults. Gastroduodenal ulcer complications, such as hemorrhage, penetration etc. are even less common. Recurrent ulcerous defect hemorrhage is a reason to expand diagnostic search and involve various specialists, primarily hematologists, into the diagnosis establishing process. The article presents a clinical case of a child with gastroduodenal ulcer complicated with recurrent hemorrhage not terminated with the standard therapy; thus, additional diagnostic testing was performed. This helped to detect a hematological disease and determine an optimal therapy amount.Язвенная болезнь желудка и двенадцатиперстной кишки у детей встречается реже, чем у взрослых, и отличается более легким течением. Еще реже у детей встречаются осложнения язвенной болезни, такие как кровотечение, пенетрация и др. Рецидивирующие кровотечения из язвенных дефектов являются поводом для расширения диагностического поиска и привлечения к процессу постановки диагноза различных специалистов, в первую очередь гематологов. В статье представлен клинический случай ребенка с язвенной болезнью, осложненной рецидивирующими кровотечениями, которые не купировались при применении стандартной терапии, что послужило причиной для дополнительных диагностических исследований. Это позволило выявить гематологическое заболевание и определить оптимальный объем терапии

The Disk Wind in the Young Binaries and the Origin of the Cyclic Activity of Young Stars

We present results of numerical modeling of the cyclic brightness modulation in the young binary systems with the eccentric orbits and low-mass secondary components. Brightness variations of the primary is due to the periodical extinction variations on the line-of-sight caused by the disk wind of the secondary and a common envelope it produces. A matter distribution in the envelope has been calculated in the ballistic approach. Calculations showed that for the young binaries with the elliptic orbits parameters of the photometric minima (their depth, duration and the shape of light curves) depend not only on the disk wind parameters and an inclination of the binary orbit to the line-of-sight but also on the longitude of the periastron. A modulation of the scattered radiation of the common envelope with a phase of the orbital period has been investigated in the single scattering approach. It is shown that an amplitude of the modulation is maximal when the system is seen edge-on and has also a non-zero value in the binaries observed pole-on. Possible applications of the theory to the young stellar objects are discussed. In particular, an attention is payed to a resemblance of the light curves in some models with light curves of the objects suspected as candidates to FUORs.Comment: 18 pages, 9 figures, accepted by Astronomy Letter