255 research outputs found
View of the clinic, diagnosis and treatment of familial benign pemphigus (Hailey — Hailey disease). Literature review
The article describes modern views on predisposing factors, histological and genetic changes, the role of ATP2C1 encoding a mutant gene, localized on chromosome 3 in the pathogenesis of Hailey — Hailey disease. Diagnostic criteria, differential diagnostics with other diseases and methods of modern treatment of this disease are presented
Analytical approximation of spectrum for pulse X-ray tubes
Among the main characteristics of the pulsed X-ray apparatuses the spectral energy characteristics are the most important ones: the spectral distribution of the photon energy, effective and maximum energy of quanta. Knowing the spectral characteristics of the radiation of pulse sources is very important for the practical use of them in non-destructive testing. We have attempted on the analytical approximation of the pulsed X-ray apparatuses spectra obtained in the different experimental papers. The results of the analytical approximation of energy spectrum for pulse X-ray tube are presented. Obtained formulas are adequate to experimental data and can be used by designing pulsed X-ray apparatuses
Analysis of innovative technologies in industry: the blockchain and the internet of things
The rapid development of modern information technologies introduces significant changes in the work of all spheres of activity, especially in industry. The technologies, using in industry have been analyzed in the article. The prospects for the development of the blockchain technology and the industrial Internet were considered and possible problems for their implementation and development have been highlighted, such as: high cost, unemployment, long distances and long transit times, cold climate, insuffi quality of cartographic services
Molecular and Metabolic Evidence for Mitochondrial Defects Associated With β-Cell Dysfunction in a Mouse Model of Type 2 Diabetes
D'Alembert sums for vibrating bar with viscous ends
We describe a new method for finding analytic solutions to some
initial-boundary problems for partial differential equations with constant
coefficients. The method is based on expanding the denominator of the Laplace
transformed Green's function of the problem into a convergent geometric series.
If the denominator is a linear combination of exponents with real powers one
obtains a closed form solution as a sum with finite but time dependent number
of terms. We call it a d'Alembert sum. This representation is computationally
most effective for small evolution times, but it remains valid even when the
system of eigenmodes is incomplete and the eigenmode expansion is unavailable.
Moreover, it simplifies in such cases.
In vibratory problems d'Alembert sums represent superpositions of original
and partially reflected traveling waves. They generalize the d'Alembert type
formulas for the wave equation, and reduce to them when original waves can
undergo only finitely many reflections in the entire course of evolution. The
method is applied to vibrations of a bar with dampers at each end and at some
internal point. The results are illustrated by computer simulations and
comparisons to modal and FEM solutions.Comment: 18 pages, 8 figure
Torus knots and mirror symmetry
We propose a spectral curve describing torus knots and links in the B-model.
In particular, the application of the topological recursion to this curve
generates all their colored HOMFLY invariants. The curve is obtained by
exploiting the full Sl(2, Z) symmetry of the spectral curve of the resolved
conifold, and should be regarded as the mirror of the topological D-brane
associated to torus knots in the large N Gopakumar-Vafa duality. Moreover, we
derive the curve as the large N limit of the matrix model computing torus knot
invariants.Comment: 30 pages + appendix, 3 figure
String theory and the Kauffman polynomial
We propose a new, precise integrality conjecture for the colored Kauffman
polynomial of knots and links inspired by large N dualities and the structure
of topological string theory on orientifolds. According to this conjecture, the
natural knot invariant in an unoriented theory involves both the colored
Kauffman polynomial and the colored HOMFLY polynomial for composite
representations, i.e. it involves the full HOMFLY skein of the annulus. The
conjecture sheds new light on the relationship between the Kauffman and the
HOMFLY polynomials, and it implies for example Rudolph's theorem. We provide
various non-trivial tests of the conjecture and we sketch the string theory
arguments that lead to it.Comment: 36 pages, many figures; references and examples added, typos
corrected, final version to appear in CM
Synthesis of a new quaternary phosphonium salt: NMR study of the conformational structure and dynamics
© 2015 John Wiley & Sons, Ltd. A novel phosphonium salt based on pyridoxine was synthesized. Conformational analysis of the compound in solution was performed using dynamic NMR experiments and calculations. The obtained results revealed some differences in the conformational transitions and the energy parameters of the conformational exchange of the studied compound in comparison to previously reported data for other phosphorus-containing pyridoxine derivatives. It was shown that increasing the substituent at the C-11 carbon leads to greater differences in the populations of stable states and the corresponding equilibrium energies
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