Abstract:
The article was dedicated to the copolymerization reaction of decylmethacrylate with decene-1. The copolymerizaion was realized with the participation of the inisiator the radical mechanism—izooil acid dinitrilyne. The learning of the polymerizaion reaction of decylmethacrylate with decene-1 shows that, it is possible to analyse the polymer connections having any molecular mass and content with the way of changing the monomers correlation and reaction temperature, that, it is possible to manage it knowing the regularities of the process. The effect of decylmethacrylate decene-1 copolymers to the viscosity-temperature properties has been learnt. As the result it has been showed that, using the joint polymers of decylmethacrylate—decene-1 in the content of the limpid oils as the thickener additive, it is possible to get the base oils with good viscosity-temperature properties.

Abstract:
This article lists a number of geological data on the conditions of formation of some major gold deposits in the conglomerates of the Earth's crust. We analyze the metallogenic, tectonic, stratigraphic and other factors controlling the formation of gold-bearing conglomerates in certain fields, such as the Witwatersrand (S. Africa) and Darwaz (Tajikistan). The following tectonic factors play the leading role in controlling the formation of deposits of gold-bearing conglomerates in the Earth's crust: Epochs of mountain building of different ages in folded belts; Epochs of mountain building in activation of consolidated gold ore provinces in the domed uplifts of ancient shields, median areas and in areas with complete folding; The role of lithogenesis of the molasse cycle, transgressions and angular unconformity in the formation of gold-bearing conglomerates in a large area; Synchroneity with mountain building in gold ore provinces of different, intermountain molasse and marginal basins of various ages; and imposed volcanic and terrigenic conglomeratic molasse basins in activated gold ore provinces Volcanic belts and deep faults. There are three industrial types of gold-bearing conglomerates: ancient Precambrian (indurated) sedimentary-metamorphosed placer, Phanerozoic cemented placer, and younger, weak, friable Pliocene-Pleistocene placers. We give some details about the methods for their exploration and financial costs for the development of selected industrial types of gold-bearing conglomerates. In this article, it is noted that during the Sassanian and the Mongolian Empire a certain amount of native gold was extracted from the Late Alpine molasse conglomerates which formed during the activation of gold ore area of the major Iranian middle massif. By analogy with the geological conditions of formation of deposits of gold-bearing conglomerates in the Earth's crust, the geological search criteria for deposits of gold-bearing conglomerates in some orogenic and widespread activated imposed conglomeratic molasse basins of Iran are given. A number of promising molasse conglomeratic basins are indicated: Mashhad intermountain deflection, as well as a number of superimposed molasse basins in the active superimposed volcano- plutonic belt of Iran, in particular Lut Block, middle massif, Tabriz , Ahar , and other superimposed molasse basins in the large Sabalan ring structure. In conclusion, we propose the development of selected areas and the establishment of new major resources of the gold - placer industry of Iran.

Abstract:
Starting from the quantum theory of identical particles, we show how to define a classical mechanics that retains information about the quantum statistics. We consider two examples of relevance for the quantum Hall effect: identical particles in the lowest Landau level, and vortices in the Chern-Simons Ginzburg-Landau model. In both cases the resulting {\em classical} statistical mechanics is shown to be a nontrivial classical limit of Haldane's exclusion statistics.

Abstract:
We present a general method to derive the classical mechanics of a system of identical particles in a way that retains information about quantum statistics. The resulting statistical mechanics can be interpreted as a classical version of Haldane's exclusion statistics.

Abstract:
This article focuses on traditional calendar of Kyrgyz nomads. Because, this traditional calendar has some differences from calendars of other Turkic rooted nations since it mainly created basing on game animals, and the period of hunting. Within this context, there particularly emphasizes the role of nomadic way of life of Kyrgyz people in the formation of the months names and the calendar itself. There also put forwarded numerous of samples that exemplifies close relationship of nomads with environment and their strong harmony with the nature.

Abstract:
We give stability estimates in the Cauchy problem for general partial differential equation of the elliptic type similar to the Helmholtz equation. We do not impose any (pseudo)convexity assumptions on the domain or the operator. These conditional stability estimates are getting close to Lipschitz ones when the wave number/frequency is growing. We split solution into low and high frequency parts and impose constraints on the high frequency part only. Proofs use energy estimates.

Abstract:
We obtain stability estimates (with explicit constants) for the near field from the far field of a radiating solution of the Helmholtz equation. These estimates are based on new bounds for Hankel functions and quantify increasing stability when the wave number grows.

Abstract:
We study the problem of reconstruction of special special time dependent local volatility from market prices of options with different strikes at two expiration times. For a general diffusion process we apply the linearization technique and we conclude that the option price can be obtained as the sum of the Black-Scholes formula and of an operator $W$ which is linear in perturbation of volatility. We further simplify the linearized inverse problem and obtain unique solvability result in basic functional spaces. By using the Laplace transform in time we simplify the kernels of integral operators for $W$ and we obtain uniqueness and stability results for for volatility under natural condition of smallness of the spacial interval where one prescribes the (market) data. We propose a numerical algorithm based on our analysis of the linearized problem.

Abstract:
This paper presents results of both microscopical and semi-empirical calculations of single-particle characteristics of nuclei and nuclear binding energies, as well as their root-mean-square radii, excitation energies and transition rates in the long chain of Sn isotopes, from the extremely neutron deficient 100Sn up to neutron excess 136Sn, where the experimental information is available by now. The comprehensive comparison with the experimental data is carried out.

Abstract:
We give two formulations of exclusion statistics (ES) using a variable number of bosonic or fermionic single-particle states which depend on the number of particles in the system. Associated bosonic and fermionic ES parameters are introduced and are discussed for FQHE quasiparticles, anyons in the lowest Landau level and for the Calogero-Sutherland model. In the latter case, only one family of solutions is emphasized to be sufficient to recover ES; appropriate families are specified for a number of formulations of the Calogero-Sutherland model. We extend the picture of variable number of single-particle states to generalized ideal gases with statistical interaction between particles of different momenta. Integral equations are derived which determine the momentum distribution for single-particle states and distribution of particles over the single-particle states in the thermal equilibrium.