Abstract:
A simple model of X-Ray standing waves (XSW) formation in the slit of a planar waveguide of X-Ray radiation beam for the angle area restricted by the critical total reflection angle is developed. It is shown that the model is true for a case of the Bragg reflection. The conditions required for XSW to appear in the space between two polished parallel plane plates are formulated and a slit size interval conforming to these conditions is evaluated. A mechanism of a XSW intensity decrease in a planar waveguide is proposed. This mechanism explains a high efficiency of slitless collimator application for the transportation of narrow X-Ray beams. Some recommendations on the application of the planar X-Ray waveguide in X-Ray structural and spectral studies of surface are presented.

Abstract:
We construct an analogue of the classical theta-function on an Abelian variety for closed 4-dimensional symplectic manifolds which are T^2-bundles over T^2 with the zero Euler class. We use our theta-functions for a canonical symplectic embedding of these manifolds into complex projective spaces (an analogue of the Lefschetz theorem).

Abstract:
The classical Kaehler potential is a real-valued function (KP) such that one can determine a Kaehler (symplectic) structure by differentiating KP. We define a mirror Kaehler potential on Calabi-Yau 3-folds, a real-valued function (MKP) such that one can determine a complex structure by differentiating MKP.

Abstract:
We define analogue of theta-functions on the Kodaira--Thurston manifold which is a compact 4-dimensional symplectic manifold and use them to construct canonical symplectic embedding of the Kodaira--Thurston manifold into the complex projective space (analogue of the Lefshetz theorem).

Abstract:
In this paper we state an analog of Calabi's conjecture proved by Yau. The difference with the classical case is that we propose deformation of the complex structure, whereas the complex Monge--Amp\`{e}re equation describes deformation of the K\"{a}hler (symplectic) structure.

Abstract:
It is presently an established fact that pancreatic
enzymes (amylase, lipase, and trypsin) can enter the bloodstream as well as the
intestine. These enzymes normally circulate within the bloodstream in definite
concentration ranges. There is a lack of available information on the
interrelationships between the enzymatic activities in pancreatic juice and
blood serum in poultry. The study presented was aimed at the determination of
possible correlation between the activities of the digestive enzymes in
pancreatic juice or pancreatic tissue and in blood serum in chicken. The study
was performed on Leghorn cockerels with chronically fistulated main pancreatic
duct, and broiler chicks at different ages (14, 24, 28, and 35 days).
Activities of all digestive enzymes in pancreatic juice in cockerels were found
to grow in 1 hr after the feeding: amylase by 1.8 times, lipase 1.5 times, and
proteases 1.3 times compared to basal level (after starving). Activity of
trypsin in serum significantly increased by 67.4% in 1 hr after the feeding (P<0.001)
while activities of amylase and lipase remained at their respective preprandial
levels. The activities of pancreatic enzymes in the pancreas and blood serum in
broilers at different ages were positively correlated: r=0.54 for amylase, r=0.96 for
lipase, and r=0.99 for trypsin. The strong
positive correlation between tryptic activities in the pancreas or pancreatic
juice and in blood serum in chicken can be a starting point for further
research on the functions of circulatory trypsin which can include the
regulation of exocrine pancreatic activity and other vital functions.

Abstract:
Based on the results of the earlier spectroscopic observations with the 6-m BTA telescope of the SAO RAS we refine the metallicity estimates of the complexes of ionized gas in the VII Zw 403 galaxy. Infrared observations from the Spitzer Space Telescope are used to search for a possible correlation of the mass fraction distribution of the polycyclic aromatic hydrocarbons (PAH) with the distribution of ionized and neutral hydrogen, and with the metallicity of gas in the HII regions of the galaxy.

Abstract:
Of the new types of cryoelectronic devices under development, including phase shifters, giant magnetoresistance switches, diodes, transistors, and memory cells, some are based on hybrid superconductor-normal metal or superconductor-ferromagnet films. Control of these devices is realized by means of pulses of voltage, light, or magnetic field. Spin-polarized current may be used to switch low-temperature devices, as in spin-electronic devices. In the superconducting layer, the current is dissipation less, which would bring large reduction of energy consumption. We demonstrate that mag-netic domain walls in bilayer niobium-permalloy stripes are shifted by electrical current along the stripe even at low tem-perature, with the niobium in the superconducting state. The wall motion in response to current pulses is quite different from that induced by a magnetic field pulses only. The effect could be used to create a new type of sequentially switched serial devices because of very high value of the wall velocity, which excides by many orders of magnitude the velocity of the wall moved with magnetic field pulses.

Abstract:
The kineticts of magnetization reversal of stripe-shaped permalloy-niobium hybrid nanofilms is studied in 6-300 K temperature range by means of magneto-optics visualization technique. The niobium influence on magnetic domain walls type and on magnetic domain structure of permalloy via the interface quality and via the distortion of stray fields is found. The memory effect, which is the superconducting niobium memory about an initial magnetic domain structure of permalloy at cooling below T_c, is found. The memory is razed only by hybrid heating over T_c.