On The Uniform Convergence Of Spectral Expansions For A Spectral Problem With A Boundary Condition Rationally Depending On The Eigenparameter

The spectral problem −y ′′ + q(x)y = λy, 0 < x < 1, y(0) cos β = y ′ (0) sin β, 0 ≤ β < π; y ′ (1) y(1) = h(λ), is considered, where λ is a spectral parameter, q(x) is real-valued continuous function on [0, 1] and h(λ) = aλ + b − XN k=1 bk λ − ck , with the real coefficients and a ≥ 0, bk > 0, c1 < c2 < · · · < cN , N ≥ 0. The sharpened asymptotic formulae for eigenvalues and eigenfunctions of above-mentioned spectral problem are obtained and the uniform convergence of the spectral expansions of the continuous functions in terms of eigenfunctions are presented

On algebraic models of relativistic scattering

In this paper we develop an algebraic technique for building relativistic models in the framework of direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3,1) dynamical symmetry.Comment: 10 pages, to appear in J. Phys. A : Math. Theo

Neutrino Electromagnetic Form Factors Effect on the Neutrino Cross Section in Dense Matter

The sensitivity of the differential cross section of the interaction between neutrino-electron with dense matter to the possibly nonzero neutrino electromagnetic properties has been investigated. Here, the relativistic mean field model inspired by effective field theory has been used to describe non strange dense matter, both with and without the neutrino trapping. We have found that the cross section becomes more sensitive to the constituent distribution of the matter, once electromagnetic properties of the neutrino are taken into account. The effects of electromagnetic properties of neutrino on the cross section become more significant for the neutrino magnetic moment mu_nu > 10^{-10} mu_B and for the neutrino charge radius R > 10^{-5} MeV^{-1}.Comment: 24 pages, 10 figures, submitted to Physical Review

The recognition and valuation of an asset’s productivity in business accounting and reporting

In this article we have considered the problems of classification and recognition of a specific type of asset, namely cattle embryos, as well as analyzed the characteristic features of this type of asset. We also substantiated its recognition as a biological asset in accordance with IFRS 41 "Agriculture". The possibility of applying the approach to embryos’ valuation by means on fair value has been proved based on the convergence of selection calculations’ methods and the income discounting method. The calculations have shown that the evaluation of the embryos depends on conditions and patterns of their usage. The results of the study will allow more reasonably forming professional judgment in the primary recognition of the biological asset and its valuation at the reporting dates in the financial statements.peer-reviewe

Mean-field driven first-order phase transitions in systems with long-range interactions

We consider a class of spin systems on $\Z^d$ with vector valued spins (\bS_x) that interact via the pair-potentials J_{x,y} \bS_x\cdot\bS_y. The interactions are generally spread-out in the sense that the $J_{x,y}$'s exhibit either exponential or power-law fall-off. Under the technical condition of reflection positivity and for sufficiently spread out interactions, we prove that the model exhibits a first-order phase transition whenever the associated mean-field theory signals such a transition. As a consequence, e.g., in dimensions $d\ge3$, we can finally provide examples of the 3-state Potts model with spread-out, exponentially decaying interactions, which undergoes a first-order phase transition as the temperature varies. Similar transitions are established in dimensions $d=1,2$ for power-law decaying interactions and in high dimensions for next-nearest neighbor couplings. In addition, we also investigate the limit of infinitely spread-out interactions. Specifically, we show that once the mean-field theory is in a unique ``state,'' then in any sequence of translation-invariant Gibbs states various observables converge to their mean-field values and the states themselves converge to a product measure.Comment: 57 pages; uses a (modified) jstatphys class fil

Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field

The relativistic theory of the inverse beta-decay of polarized neutron, $\nu _{e} + n \to p + e ^{-}$, in strong magnetic field is developed. For the proton wave function we use the exact solution of the Dirac equation in the magnetic filed that enables us to account exactly for effects of the proton momentum quantization in the magnetic field and also for the proton recoil motion. The effect of nucleons anomalous magnetic moments in strong magnetic fields is also discussed. We examine the cross section for different energies and directions of propagation of the initial neutrino accounting for neutrons polarization. It is shown that in the super-strong magnetic field the totally polarized neutron matter is transparent for neutrinos propagating antiparallel to the direction of polarization. The developed relativistic approach can be used for calculations of cross sections of the other URCA processes in strong magnetic fields.Comment: 41 pages in LaTex including 11 figures in PostScript, discussion on nucleons AMM interaction with magnetic field is adde

Syndrome of intraabdominal hypertension: pathophysiological aspects and surgical problems

Syndrome of intraabdominal hypertension: pathophysiological aspects and surgical problem

Технология получения ультратонкого заднего послойного трансплантата роговицы в условиях Глазного тканевого банка

Objective: to develop technologies for preoperative preparation of the posterior lamellar corneal graft based on our own formulation of the preservation medium for optimal dehydration of the donor cornea and a technique for cutting out an ultrathin flap using an optimized method at the Eye Tissue Bank. Materials methods. In a series of experimental studies, we obtained data on the hydration level of cadaveric donor corneas that were preserved in various solutions at different observation periods. Using 16 corneas, analytical weighing and pachymetry were performed via optical coherence tomography in the experimental (n = 8) and control (n = 8) groups. Morphological and functional characteristics of the corneal endothelium were then assessed. At the next stage of work, ultrathin grafts were formed from 16 corneas after hypothermic preservation in the experimental (n = 8) and control (n = 8) solutions by single-pass microkeratome, followed by microscopy of the samples using a scanning electron microscope. Results. After the first days of preservation in the proposed solution, there was dehydration of 9% cornea in the experimental group in comparison with the samples of the control group. After 4 days of preservation, there was no reliable difference found between the groups (p &gt; 0.05) in the study of the endothelial cell viability of ultra-thin corneal grafts by immunofluorescent microscopy using the «Live and dead» marker. Scanning electron microscopy revealed that corneal stromal collagen fibers, preserved in the proposed medium, retained their integrity. Conclusion. The proposed technology can be recommended for use at eye banks for formation of an ultra-thin corneal graft at the preoperative stage.Цель исследования. Разработка технологии предоперационной подготовки заднего послойного трансплантата роговицы на основе собственной рецептуры консервационной среды для оптимальной дегидратации донорской роговицы и техники выкраивания ультратонкого лоскута оптимизированным методом в условиях Глазного тканевого банка. Материалы и методы. В серии экспериментальных исследований получены данные по уровню гидратации консервированных в различных растворах трупных донорских роговиц на разных сроках наблюдения. На примере 16 роговиц проведено аналитическое взвешивание и пахиметрия с использованием оптического когерентного томографа в опытной (n = 8) и контрольной (n = 8) группах, после чего оценивали морфофункциональные характеристики эндотелиального пласта клеток роговицы. На следующем этапе работы из 16 роговиц после гипотермической консервации в опытном (n = 8) и контрольном (n = 8) растворе были сформированы ультратонкие трансплантаты по методике одинарного прохода микрокератомом с последующей микроскопией образцов на растровом электронном микроскопе. Результаты. После первых суток консервации в предложенном растворе была выявлена дегидратация на 9% роговиц опытной группы по сравнению с образцами контрольной группы. По окончании 4-х суток консервации при исследовании жизнеспособности эндотелиального пласта клеток ультратонких трансплантатов роговиц методом иммунофлюоресцентной микроскопии с использованием маркера «Live and dead» достоверной разницы между группами выявлено не было (p &gt; 0,05). Проведенная сканирующая электронная микроскопия выявила сохранность архитектоники коллагеновых волокон роговиц, консервированных в предложенной среде. Заключение. Предложенная технология может быть рекомендована для применения в условиях глазных тканевых банков для формирования ультратонкого трансплантата роговицы на предоперационном этапе

A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background

A new manner for deriving the exact potentials is presented. By making use of conformal mappings, the general expression of the effective potentials deduced under su(1,1) algebra can be brought back to the general Natanzon hypergeometric potentials