This article covers the problems connected with the functional fullness Boolean function. The results may be used at the study of the structure subalgebas algebras of the Boolean functions.
Some asymptotic stability conditions of fuzzy control systems via quadratic and fuzzy Lyapunov functions are considered.
We prove the orthogonality of the eigenfields of the spectral problem rot4S+?rotS = 0 in the space of the poloidal field in a spherical shell
A model of the dilatancy’s zones in the stress field of the double forces in a homogeneous, isotropic elastic half-space was considered. Calculations of the stress tensor components and the criterion of dilatancy were perfomed. Relative defomations of Earth crust were interconnected with zone of dilatancy
In this paper we consider a nonlocal mathematical model of non-stationary diffusion- advection of radon in the soil-atmosphere system. An analytical solution of this model of traveling wave, which is expressed in terms of a distribution Wright.
The solutions of stationary and non-stationary diffusion-advection equations of radon transport in many-layered geological media by integro-interpolation method are presented
СТАТИСТИЧЕСКИЙ АНАЛИЗ ВОЗМУЩЕНИЙ ГЕОАКУСТИЧЕСКОЙ ЭМИССИИ, ПРЕДШЕСТВУЮЩИХ СИЛЬНЫМ ЗЕМЛЕТРЯСЕНИЯМ НА КАМЧАТКЕМ.А. Мищенко & M.A. Mishenko
The results of statistical analysis of perturbations of geoacoustic emission using the method of superposed epoch. It is shown that 45,8% perturbation of geoacoustic emission arise in the daily range of 2,5 to strong earthquakes.
The results of simulation of characteristics of atmospheric ?- and ?-radiation fields due to radioactive decay of soil radionuclides are represented. Monte-Carlo method was used for simulation. Secondary radiation and cascade nature of radiation interaction with air were taking into account. Features in vertical profiles of ? - and ? - radiation absorbed doses and flux densities in ground atmosphere are discussed in detail.
THE TECHNIQUE OF INCREASE THE EFFICIENCY OF LEARNING NEURAL KOHONEN MAPS FOR RECOGNITION OF PERTURBATIONS GEOACOUSTIC EMISSIONA.V. Shadrin
This work is dedicated to technique of training Kohonen maps on the example of geoacoustical signal in the subrange 1500-6000 Hz. Describes the parameters of learning the Kohonen maps to classify anomalies in geoacoustical signal on different types.
The paper is devoted to the comparative analysis of some sparse approximation methods. The first part of the paper describes general sparse approximation problem and two main approaches solved it. Classification of testing pursuit algorithm is illustrated. Features of the methods application to geoacoustic emission signals are considered in the second part. The sparseness, accuracy and runtime of described pursuit algorithms are compared.
It has been shown in previous studies that the sparse approximation methods with combined dictionary and refining have been used for this purpose. The main disadvantage of this method is its computational expensive. The realization of parallel matching pursuit algorithm has been considered in this article. It has been shown that using of parallel algorithm speeds up the processing and enables signal analysis in real time.
In this paper we generalize the law of Bouguer-Lambert in the case of a homogeneous fractal. With detailed analysis in terms of d-output operator generalized law of Bouguer- Lambert-Beer law, which in particular includes the classical law of optics Bouguer-Lambert- Beer.
Using well-known data on the structure of the geomagnetic field it is shown that its generation source is located at the boundary between the Earth inner and outer cores, most likely, in the F-layer.
The paper investigates possible sources of Kamchatka whistlers in March and September 2013. Applying the data from WWLLN and AWDANet worldwide networks, it is shown that statistically significant sources may be located in the global lightning centers.
The paper presents a mathematical model of non-classical dynamic systems. A numerical method of difference schemes, depending on various parameters of the system were found numerical solutions of models. The phase trajectory.
In this paper we investigate the question of the possibility of inversions within the low-mode dynamo model. The conditions under which the possibility of more frequent reversal of the magnetic field in comparison with inversions in the velocity field of a viscous conducting magnetized fluid.
It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.
In this paper not well posed problem for the even-order equation is studied. The stability of the problem is restored by additional conditions and conditions to domain.
Prove an important lemma for the operator of fractional integro-differentiation of functions of other functions.
ABOUT A METHOD OF RESEARCH OF THE NON-LOCAL PROBLEM FOR THE LOADED MIXED TYPE EQUATION IN DOUBLE-CONNECTED DOMAINO.Kh. Abdullayev
In the present paper an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation on the third order in double-connected domain was investigated. The uniqueness of solution was proved by the extremum principle for the mixed type equations, and existence was proved by the method of integral equations.
In this paper we consider ill-posed problem for one even-order equation. The stability of the problem is proved with the additional assumption.
The paper proposes a new mathematical model of cloud droplet charge change in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparatus of fractional calculus.
The paper considers a nonlinear fractal oscillatory Duffing system with friction. The numerical analysis of this system by a finite-difference scheme was carried out. Phase portraits and system solutions were constructed depending on fractional parameters.
According to the developing model, the nonpotential part of the geomagnetic field is due to the vertical current associated with positive charge transfer by water vapour during plant and water surface evaporation in the same direction and with negative rain current in the opposite direction. These two processes are quite irregular both in space and in time, but the total charge transfered upwards to the clouds is almost equal to the charge transfered downwards to...
The proposed model presents a rock bump (a technogeneous earthquake) as a shock wave emergence on the inside wall of a mine. In such a case, an unloading, tensile wave is generated which moves in the opposite (into the wall) direction. A shock wave is accompanied by medium motion in the direction of shock wave propagation with the velocity significantly less than that of the wave. Phenomena, occurring on the inner surface of a mine...
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