On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles

For a class of $*$-algebras, where $*$-algebra $A_{\Gamma,\tau}$ is generated by projections associated with vertices of graph $\Gamma$ and depends on a parameter $\tau$ $(0 < \tau \leq 1)$, we study the sets $\Sigma_\Gamma$ of values of $\tau$ such that the algebras $A_{\Gamma,\tau}$ have nontrivial $*$-representations, by using the theory of spectra of graphs. In other words, we study such values of $\tau$ that the corresponding configurations of subspaces in a Hilbert space exist.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Differential diagnostic of histological specimens as a practical tool for teaching histology inforeign medical students

МЕДИЦИНСКИЕ УЧЕБНЫЕ ЗАВЕДЕНИЯОБРАЗОВАНИЕ МЕДИЦИНСКОЕСТУДЕНТЫ МЕДИЦИНСКИХ УЧЕБНЫХ ЗАВЕДЕНИЙИНОСТРАННЫЕ СТУДЕНТЫГИСТОЛОГИЯ /ОБУЧГИСТОЛОГИЯ (ДИСЦИПЛИНА)МЕТОДИКА ОБУЧЕНИЯМЕТОДИКА ПРЕПОДАВАНИ

Thermal decomposition of a honeycomb-network sheet - A Molecular Dynamics simulation study

The thermal degradation of a graphene-like two-dimensional triangular membrane with bonds undergoing temperature-induced scission is studied by means of Molecular Dynamics simulation using Langevin thermostat. We demonstrate that the probability distribution of breaking bonds is highly peaked at the rim of the membrane sheet at lower temperature whereas at higher temperature bonds break at random anywhere in the hexagonal flake. The mean breakage time $\tau$ is found to decrease with the total number of network nodes $N$ by a power law $\tau \propto N^{-0.5}$ and reveals an Arrhenian dependence on temperature $T$. Scission times are themselves exponentially distributed. The fragmentation kinetics of the average number of clusters can be described by first-order chemical reactions between network nodes $n_i$ of different coordination. The distribution of fragments sizes evolves with time elapsed from a $\delta$-function through a bimodal one into a single-peaked again at late times. Our simulation results are complemented by a set of $1^{st}$-order kinetic differential equations for $n_i$ which can be solved exactly and compared to data derived from the computer experiment, providing deeper insight into the thermolysis mechanism.Comment: 21pages, 9 figures, LaTeX, revised versio

MULTIPLE CORRELATION MODEL FOR ESTABLISHING THE ASSOCIATION BETWEEN ATMOSPHERIC AIR POLLUTION AND MORBIDITY

A characteristics of atmospheric air pollution during the period from 1980 till 1992 in the town of Beloslav, a settlement located in the immediate proximity of Devnya industrial complex was prepared. The following parameters were examined: dust, sulphur dioxide, sulphuric acid, hydrogen sulphide, nitric oxides, ammonia, chlorine, and hydrogen fluoride. Annual indexes of pollution presented according to the Canadian Indexing System exceeded considerably the hygienic standards concerning most atmospheric air pollutants. During the whole period of observation the total index varied between 3,22 and 8,28 one unit being the standard. The morbidity rate of the population according to the registration files for children and adults was analyzed, too. Multiple correlation and step regression analyses were applied to follow-up the influence of the atmospheric air pollution on the morbidity. There were statistically reliable correlation dependences between the atmospheric air pollution and the diseases of the respiratory, nervous, alimentary and other systems

NORMATIVE GROUPS FOR ANTHROPOMETRIC EVALUATION OF NEWBORNS

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Inversionless light amplification and optical switching controlled by state-dependent alignment of molecules

We propose a method to achieve amplification without population inversion by anisotropic molecules whose orientation by an external electric field is state-dependent. It is based on decoupling of the lower-state molecules from the resonant light while the excited ones remain emitting. The suitable class of molecules is discussed, the equation for the gain factor is derived, and the magnitude of the inversionless amplification is estimated for the typical experimental conditions. Such switching of the sample from absorbing to amplifying via transparent state is shown to be possible both with the aid of dc and ac control electric fields.Comment: AMS-LaTeX v1.2, 4 pages with 4 figure

Inversionless gain in a three-level system driven by a strong field and collisions

Inversionless gain in a three-level system driven by a strong external field and by collisions with a buffer gas is investigated. The mechanism of populating of the upper laser level contributed by the collision transfer as well as by relaxation caused by a buffer gas is discussed in detail. Explicit formulae for analysis of optimal conditions are derived. The mechanism developed here for the incoherent pump could be generalized to other systems.Comment: RevTeX, 9 pages, 4 eps figure