1,160 research outputs found
Frequency behavior of Raman coupling coefficient in glasses
Low-frequency Raman coupling coefficient of 11 different glasses is
evaluated. It is found that the coupling coefficient demonstrates a universal
linear frequency behavior near the boson peak maximum and a superlinear
behavior at very low frequencies. The last observation suggests vanishing of
the coupling coefficient when frequency tends to zero. The results are
discussed in terms of the vibration wavefunction that combines features of
localized and extended modes.Comment: 8 pages, 9 figure
Like Sign Dilepton Signature for R-Parity Violating SUSY Search at the Tevatron Collider
The like sign dileptons provide the most promising signature for
superparticle search in a large category of -parity violating SUSY models.
We estimate the like sign dilepton signals at the Tevatron collider, predicted
by these models, over a wide region of the MSSM parameter space. One expects an
unambiguous signal upto a gluino mass of GeV ( GeV) with
the present (proposed) accumulated luminosity of .Comment: 12 page LaTeX file; 5 figures available upon request from the autho
Integral representation of the linear Boltzmann operator for granular gas dynamics with applications
We investigate the properties of the collision operator associated to the
linear Boltzmann equation for dissipative hard-spheres arising in granular gas
dynamics. We establish that, as in the case of non-dissipative interactions,
the gain collision operator is an integral operator whose kernel is made
explicit. One deduces from this result a complete picture of the spectrum of
the collision operator in an Hilbert space setting, generalizing results from
T. Carleman to granular gases. In the same way, we obtain from this integral
representation of the gain operator that the semigroup in L^1(\R \times \R,\d
\x \otimes \d\v) associated to the linear Boltzmann equation for dissipative
hard spheres is honest generalizing known results from the first author.Comment: 19 pages, to appear in Journal of Statistical Physic
Field theoretic renormalization group for a nonlinear diffusion equation
The paper is an attempt to relate two vast areas of the applicability of the
renormalization group (RG): field theoretic models and partial differential
equations. It is shown that the Green function of a nonlinear diffusion
equation can be viewed as a correlation function in a field-theoretic model
with an ultralocal term, concentrated at a spacetime point. This field theory
is shown to be multiplicatively renormalizable, so that the RG equations can be
derived in a standard fashion, and the RG functions (the function and
anomalous dimensions) can be calculated within a controlled approximation. A
direct calculation carried out in the two-loop approximation for the
nonlinearity of the form , where is not necessarily
integer, confirms the validity and self-consistency of the approach. The
explicit self-similar solution is obtained for the infrared asymptotic region,
with exactly known exponents; its range of validity and relationship to
previous treatments are briefly discussed.Comment: 8 pages, 2 figures, RevTe
Theory of coherent acoustic phonons in InGaN/GaN multi-quantum wells
A microscopic theory for the generation and propagation of coherent LA
phonons in pseudomorphically strained wurzite (0001) InGaN/GaN multi-quantum
well (MQW) p-i-n diodes is presented. The generation of coherent LA phonons is
driven by photoexcitation of electron-hole pairs by an ultrafast Gaussian pump
laser and is treated theoretically using the density matrix formalism. We use
realistic wurzite bandstructures taking valence-band mixing and strain-induced
piezo- electric fields into account. In addition, the many-body Coulomb
ineraction is treated in the screened time-dependent Hartree-Fock
approximation. We find that under typical experimental conditions, our
microscopic theory can be simplified and mapped onto a loaded string problem
which can be easily solved.Comment: 20 pages, 17 figure
Implications of the HERA Events for the R-Parity Breaking SUSY Signals at Tevatron
The favoured R-parity violating SUSY scenarios for the anomalous HERA events
correspond to top and charm squark production via the and
couplings. In both cases the corresponding electronic
branching fractions of the squarks are expected to be . Consequently the
canonical leptoquark signature is incapable of probing these scenarios at the
Tevatron collider over most of the MSSM parameter space. We suggest alternative
signatures for probing them at Tevatron, which seem to be viable over the
entire range of MSSM parameters.Comment: 20 pages Latex file with 4 ps files containing 4 figure
Dynamic structure factor of the Ising model with purely relaxational dynamics
We compute the dynamic structure factor for the Ising model with a purely
relaxational dynamics (model A). We perform a perturbative calculation in the
expansion, at two loops in the high-temperature phase and at one
loop in the temperature magnetic-field plane, and a Monte Carlo simulation in
the high-temperature phase. We find that the dynamic structure factor is very
well approximated by its mean-field Gaussian form up to moderately large values
of the frequency and momentum . In the region we can investigate,
, , where is the correlation
length and the zero-momentum autocorrelation time, deviations are at
most of a few percent.Comment: 21 pages, 3 figure
Navier-Stokes transport coefficients of -dimensional granular binary mixtures at low density
The Navier-Stokes transport coefficients for binary mixtures of smooth
inelastic hard disks or spheres under gravity are determined from the Boltzmann
kinetic theory by application of the Chapman-Enskog method for states near the
local homogeneous cooling state. It is shown that the Navier-Stokes transport
coefficients are not affected by the presence of gravity. As in the elastic
case, the transport coefficients of the mixture verify a set of coupled linear
integral equations that are approximately solved by using the leading terms in
a Sonine polynomial expansion. The results reported here extend previous
calculations [V. Garz\'o and J. W. Dufty, Phys. Fluids {\bf 14}, 1476 (2002)]
to an arbitrary number of dimensions. To check the accuracy of the
Chapman-Enskog results, the inelastic Boltzmann equation is also numerically
solved by means of the direct simulation Monte Carlo method to evaluate the
diffusion and shear viscosity coefficients for hard disks. The comparison shows
a good agreement over a wide range of values of the coefficients of restitution
and the parameters of the mixture (masses and sizes).Comment: 6 figures, to be published in J. Stat. Phy
Spin, charge and orbital ordering in ferrimagnetic insulator YBaMnO
The oxygen-deficient (double) perovskite YBaMnO, containing
corner-linked MnO square pyramids, is found to exhibit ferrimagnetic
ordering in its ground state. In the present work we report
generalized-gradient-corrected, relativistic first-principles full-potential
density-functional calculations performed on YBaMnO in the nonmagnetic,
ferromagnetic and ferrimagnetic states. The charge, orbital and spin orderings
are explained with site-, angular momentum- and orbital-projected density of
states, charge-density plots, electronic structure and total energy studies.
YBaMnO is found to stabilize in a G-type ferrimagnetic state in
accordance with experimental results. The experimentally observed insulating
behavior appears only when we include ferrimagnetic ordering in our
calculation. We observed significant optical anisotropy in this material
originating from the combined effect of ferrimagnetic ordering and crystal
field splitting. In order to gain knowledge about the presence of different
valence states for Mn in YBaMnO we have calculated -edge x-ray
absorption near-edge spectra for the Mn and O atoms. The presence of the
different valence states for Mn is clearly established from the x-ray
absorption near-edge spectra, hyperfine field parameters and the magnetic
properties study. Among the experimentally proposed structures, the recently
reported description based on 4/ is found to represent the stable
structure
The immunochemical cross-reactivity between cytoplasmic and mitochondrial mammalian lysyl-tRNA synthetases
Animal and fungal cells (in contrast to prokaryotes) contain two distinct sets of related aminoacyl-tRNA synthetases (aaRSs) encoded by nuclear genes and functioning in cytosol and mitochondria. The structural differences between mitochondrial and cytoplasmic enzymes may reflect the functional adaptation to fulfil mitochondrial processes in addition to protein synthesis. Mitochondrial import of nuclearencoded tRNAs has been described in yeast, plants and protozoans but it has not been observed in mammalian cells. Ifs established that mitochondrial lysyl-tRNA synthetase (MSK) plays a prominent role in the transport of tRNA into yeast mitochondria for complementation o f mitochondrial tRNAs genes mutations. We tried to identify MSK homologues in mammalian cells with the help of monospecific antibodies against pre-MSK by ELISA and Western-blot analysis. We have identified cross-reactive proteins in mitochondrial and cytoplasmic fractions of mammalian cell lysates. These data, together with the results of cross-aminoacylation on mitochondrial and cytoplasmic tRNAs, suggest the presence of common antigenic determinants in the mitochondrial and cytoplasmic lysyl-tRNA synthetases from higher animals.ΠΠ»ΡΡΠΈΠ½ΠΈ Π΅ΡΠΊΠ°ΡΡΠΎΡ Π½Π° Π²ΡΠ΄ΠΌΡΠ½Ρ Π²ΡΠ΄ ΠΏΡΠΎΠΊΠ°ΡΡΠΎΡ ΠΌΡΡΡΡΡΡ Π΄Π²Ρ ΡΡΠ·Π½Ρ Π³ΡΡΠΏΠΈ Π°ΠΌΡΠ½ΠΎΠ°ΡΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΡΠ΅ΡΠ°Π·, ΡΠΊΡ ΠΊΠΎΠ΄ΡΡΡΡΡΡ ΡΠ΄Π΅ΡΠ½ΠΈΠΌ Π³Π΅Π½ΠΎΠΌΠΎΠΌ ΡΠ° ΡΡΠ½ΠΊΡΡΠΎΠ½ΡΡΡΡ Π² ΡΠΈΡΠΎΠ·ΠΎΠ»Ρ Ρ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΡΡ
. Π‘ΡΡΡΠΊΒΡΡΡΠ½Ρ Π²ΡΠ΄ΠΌΡΠ½Π½ΠΎΡΡΡ ΠΌΡΠΆ ΡΠ΅ΡΠΌΠ΅Π½ΡΠ°ΠΌΠΈ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΠΉ Ρ ΡΠΈΡΠΎΠΏΠ»Π°Π·ΒΠΌΠΈ ΠΌΠΎΠΆΡΡΡ Π±ΡΡΠΈ Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Π½ΡΠΌ ΡΡΠ½ΠΊΡΡΠΎΠ½Π°Π»ΡΠ½ΠΎΡ Π°Π΄Π°ΠΏΡΠ°ΡΡΡ Π΄ΠΎ ΠΏΡΠΎΡΠ΅ΡΡΠ², ΡΠΊΡ Π²ΡΠ΄Π±ΡΠ²Π°ΡΡΡΡΡ Π² ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΡΡ
, ΠΊΡΡΠΌ ΡΡΠ°ΡΡΡ Π² Π±ΡΠΎΡΠΈΠ½ΡΠ΅Π·Ρ Π±ΡΠ»ΠΊΠ°. ΠΠΌΠΏΠΎΡΡ ΡΠΈΡΠΎΠ·ΠΎΠ»ΡΠ½ΠΈΡ
ΡΠ ΠΠ Ρ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΡ ΠΎΠΏΠΈΡΠ°Π½ΠΎ Π΄Π»Ρ Π΄ΡΡΠΆΠ΄ΠΆΡΠ², ΡΠΎΡΠ»ΠΈΠ½ Ρ Π½Π°ΠΉΠΏΡΠΎΡΡΡΠΈΡΠΈΡ
, ΠΎΠ΄Π½Π°ΠΊ Π²ΡΠ½ Π½Π΅ ΡΠΏΠΎΡΡΠ΅ΡΡΠ³Π°Π²ΡΡ Π² ΠΊΠ»ΡΡΠΈΠ½Π°Ρ
ΡΡΠ°Π²ΡΡΠ². ΠΠΈΡΠ²Π»Π΅Π½ΠΎ, ΡΠΎ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΠ°Π»ΡΠ½Π° Π»ΡΠ·ΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΡΠ΅ΡΠ°Π·Π° (MSK) Π²ΡΠ΄ΡΠ³ΡΠ°Ρ ΠΏΡΠΎΠ²ΡΠ΄Π½Ρ ΡΠΎΠ»Ρ Ρ ΡΡΠ°Π½ΡΠΏΠΎΡΡΡ ΡΠ ΠΠ Ρ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΡ Π΄ΡΡΠΆΠ΄ΠΆΡΠ² Π΄Π»Ρ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΌΠ΅Π½ΒΡΠ°ΡΡΡ ΠΌΡΡΠ°ΡΡΠΉ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΠ°Π»ΡΠ½ΠΈΡ
Π³Π΅Π½ΡΠ² ΡΠ ΠΠ ΠΠ° Π΄ΠΎΠΏΠΎΠΌΠΎΠ³ΠΎΡ ΠΌΠΎΠ½ΠΎΡΠΏΠ΅ΡΠΈΡΡΡΠ½ΠΈΡ
Π°Π½ΡΠΈΡΡΠ» ΠΏΡΠΎΡΠΈ npe-MSK ΠΌΠΈ Π·ΡΠΎΠ±ΠΈΠ»ΠΈ ΡΠΏΡΠΎΠ±Ρ ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΡΠ²Π°ΡΠΈ Π³ΠΎΠΌΠΎΠ»ΠΎΠ³ΠΈ MSK Ρ ΠΊΠ»ΡΡΠΈΠ½Π°Ρ
ΡΡΠ°Π²ΡΡΠ² ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ELISA Ρ ΠΠ΅ΡΡΠ΅ΡΠ½-Π±Π»ΠΎΡΠΈΠ½Π³Π°. Π ΡΠΈΡΠΎΠΏΠ»Π°Π·ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
Ρ ΠΌΡΡΠΎΒΡ
ΠΎΠ½Π΄ΡΡΠ°Π»ΡΠ½ΠΈΡ
ΡΡΠ°ΠΊΡΡΡΡ
Π»ΡΠ·Π°ΡΡΠ² ΠΊΠ»ΡΡΠΈΠ½ ΡΡΠ°Π²ΡΡΠ² Π½Π°ΠΌ Π²Π΄Π°Π»ΠΎΡΡ Π²ΠΈΡΠ²ΠΈΡΠΈ Π±ΡΠ»ΠΊΠΈ, ΡΠΊΡ ΠΌΠ°ΡΡΡ ΡΠΌΡΠ½ΠΎΠ»ΠΎΠ³ΡΡΠ½ΠΈΠΉ ΠΏΠ΅ΡΠ΅Ρ
ΡΠ΅ΡΡ Π· MSK Π Π°Π·ΠΎΠΌ Π· ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°ΠΌΠΈ ΠΏΠ΅ΡΠ΅Ρ
ΡΠ΅ΡΠ½ΠΎΠ³ΠΎ Π°ΠΌΡΠ½ΠΎΠ°ΡΠΈΠ»ΡΠ²Π°Π½Π½Ρ ΡΡ Π΄Π°Π½Ρ Π΄Π°ΡΡΡ ΠΏΡΠ΄ΡΡΠ°Π²Ρ Π΄Π»Ρ ΠΏΡΠΈΠΏΡΡΠ΅Π½Π½Ρ ΡΠΎΠ΄ΠΎ Π½Π°ΡΠ²Π½ΠΎΡΡΡ ΡΠΏΡΠ»ΡΠ½ΠΈΡ
Π°Π½ΡΠΈΠ³Π΅Π½Π½ΠΈΡ
Π΄Π΅ΡΠ΅ΡΠΌΡΠ½Π°Π½Ρ Ρ ΠΌΡΡΠΎΡ
ΠΎΠ½Π΄ΡΡΠ°Π»ΡΠ½ΠΈΡ
Ρ ΡΠΈΡΠΎΠΏΠ»Π°Π·ΠΌΠ°ΒΡΠΈΡΠ½ΠΈΡ
Π»ΡΠ·ΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΡΠ΅ΡΠ°Π· ΡΡΠ°Π²ΡΡΠ².ΠΠ»Π΅ΡΠΊΠΈ ΡΡΠΊΠ°ΡΠΈΠΎΡ (Π² ΠΎΡΠ»ΠΈΡΠΈΠ΅ ΠΎΡ ΠΊΠ»Π΅ΡΠΎΠΊ ΠΏΡΠΎΠΊΠ°ΡΠΈΠΎΡ) ΡΠΎΠ΄Π΅ΡΠΆΠ°Ρ Π΄Π²Π΅ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ Π³ΡΡΠΏΠΏΡ Π°ΠΌΠΈΠ½ΠΎΠ°ΡΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΡΠ΅ΡΠ°Π·, ΠΊΠΎΠ΄ΠΈΡΡΠ΅ΒΠΌΡΡ
ΡΠ΄Π΅ΡΠ½ΡΠΌ Π³Π΅Π½ΠΎΠΌΠΎΠΌ ΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΡΡΡΠΈΡ
Π² Ρ ΠΈ ΡΠΎ Π·ΠΎΠ»Π΅ ΠΈ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΡΡ
. Π‘ΡΡΡΠΊΡΡΡΠ½ΡΠ΅ ΠΎΡΠ»ΠΈΡΠΈΡ ΠΌΠ΅ΠΆΠ΄Ρ ΡΠ΅ΡΠΌΠ΅Π½ΡΠ°ΠΌΠΈ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠΉ ΠΈ ΡΠΈΡΠΎΠΏΠ»Π°Π·ΠΌΡ ΠΌΠΎΠ³ΡΡ Π±ΡΡΡ ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ΠΌ ΡΡΠ½ΠΊΡΠΈΒΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ Π°Π΄Π°ΠΏΡΠ°ΡΠΈΠΈ ΠΊ ΠΏΡΠΎΡΠ΅ΡΡΠ°ΠΌ, ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΡΡΠΈΠΌ Π² ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΒΡΠΈΡΡ
ΠΏΠΎΠΌΠΈΠΌΠΎ ΡΡΠ°ΡΡΠΈΡ Π² Π±ΠΈΠΎΡΠΈΠ½ΡΠ΅Π·Π΅ Π±Π΅Π»ΠΊΠ° ΠΠΌΠΏΠΎΡΡ ΡΠΈΡΠΎΠ·ΠΎΠ»ΡΠ½ΡΡ
ΡΠ ΠΠ Π² ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠΈ ΠΎΠΏΠΈΡΠ°Π½ Ρ Π΄ΡΠΎΠΆΠΆΠ΅ΠΉ, ΡΠ°ΡΡΠ΅Π½ΠΈΠΉ ΠΈ ΠΏΡΠΎΡΡΠ΅ΠΉΡΠΈΡ
, ΠΎΠ΄Π½Π°ΠΊΠΎ Π½Π΅ Π½Π°Π±Π»ΡΠ΄Π°Π»ΡΡ Π² ΠΊΠ»Π΅ΡΠΊΠ°Ρ
ΠΌΠ»Π΅ΠΊΠΎΠΏΠΈΡΠ°ΡΒΡΠΈΡ
. Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠ°Π»ΡΠ½Π°Ρ Π»ΠΈΠ·ΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΒΡΠ΅ΡΠ°Π·Π° (MSK) ΠΈΠ³ΡΠ°Π΅Ρ Π²Π΅Π΄ΡΡΡΡ ΡΠΎΠ»Ρ Π² ΡΡΠ°Π½ΡΠΏΠΎΡΡΠ΅ ΡΠ ΠΠ Π² ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠΈ Π΄ΡΠΎΠΆΠΆΠ΅ΠΉ Π΄Π»Ρ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΌΠ΅Π½ΡΠ°ΡΠΈΠΈ ΠΌΡΡΠ°ΡΠΈΠΉ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠ°Π»ΡΠ½ΡΡ
Π³Π΅Π½ΠΎΠ² ΡΠ ΠΠ. Π‘ ΠΏΠΎΠΌΠΎΡΡΡ ΠΌΠΎΠ½ΠΎΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π°Π½ΡΠΈΡΠ΅Π» ΠΏΡΠΎΡΠΈΠ² npe-MSK ΠΌΡ ΠΏΠΎΠΏΡΡΠ°Π»ΠΈΡΡ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΡΠΈΡΠΎΠ²Π°ΡΡ Π³ΠΎΠΌΠΎΠ»ΠΎΠ³ΠΈ MSK Π² ΠΊΠ»Π΅ΡΠΊΠ°Ρ
ΠΌΠ»Π΅ΠΊΠΎΠΏΠΈΡΠ°ΡΡΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ELISA ΠΈ ΠΠ΅ΡΡΠ΅ΡΠ½-Π±Π»ΠΎΡΠΈΠ½Π³Π°. Π ΡΠΈΡΠΎΠΏΠ»Π°Π·ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΡΡΠ°ΠΊΡΠΈΡΡ
Π»ΠΈΠ·Π°ΡΠΎΠ² ΠΊΠ»Π΅ΡΠΎΠΊ ΠΌΠ»Π΅ΠΊΠΎΠΏΠΈΡΠ°ΡΡΠΈΡ
Π½Π°ΠΌ ΡΠ΄Π°Π»ΠΎΡΡ ΠΎΠ±Π½Π°ΡΡΠΆΠΈΡΡ Π±Π΅Π»ΠΊΠΈ, ΠΈΠΌΠ΅ΡΡΠΈΠ΅ ΠΈΠΌΠΌΡΠ½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠ΅ΡΠ΅ΠΊΡΠ΅ΡΡ Ρ MSK Π ΡΠΎΠ²ΠΎΠΊΡΠΏΠ½ΠΎΡΡΠΈ Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°ΠΌΠΈ ΠΏΠ΅ΡΠ΅ΠΊΡΠ΅ΡΡΠ½ΠΎΠ³ΠΎ Π°ΠΌΠΈΠ½ΠΎΠ°ΡΠΈΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΡΠΈ Π΄Π°Π½Π½ΡΠ΅ Π΄Π°ΡΡ ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»ΠΎΠΆΠΈΡΡ Π½Π°Π»ΠΈΒΡΠΈΠ΅ ΠΎΠ±ΡΠΈΡ
Π°Π½ΡΠΈΠ³Π΅Π½Π½ΡΡ
Π΄Π΅ΡΠ΅ΡΠΌΠΈΠ½Π°Π½Ρ Ρ ΠΌΠΈΡΠΎΡ
ΠΎΠ½Π΄ΡΠΈΠ°Π»ΡΠ½ΡΡ
ΠΈ ΡΠΈΡΠΎΠΏΠ»Π°Π·ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π»ΠΈΠ·ΠΈΠ»-ΡΠ ΠΠ ΡΠΈΠ½ΡΠ΅ΡΠ°Π· Π²ΡΡΡΠΈΡ
ΠΆΠΈΠ²ΠΎΒΡΠ½ΡΡ
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