01.00.00 Physical-mathematical sciences
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ELECTRICAL PROPERTIES OF A THIN LAYER OF A MAGNETIC FLUID WITH A GRAPHITE FILLER IN A MAGNETIC FIELD
01.00.00 Physical-mathematical sciences
DescriptionThe electrical properties of the thin magnetic fluid layer containing the dispersion of graphite microparticles are studied. The influence of the external magnetic field on the peculiarities of the electrical properties is investigated
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GENERIC POLYNOMIALS FOR THE CYCLIC 2-GROUPS OVER FIELDS WITH CHARACTERISTIC TWO
01.00.00 Physical-mathematical sciences
DescriptionIn this article, the generic polynomials for cyclic groups of order 4, 8 and 16 over fields with characteristic two are constructed. With this construction, the generic polynomials for all cyclic 2-groups over fields with characteristic two can be obtained. We also give survey of known results of generic polynomials for the cyclic groups.
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THE STRUCTURE OF ATOMIC NUCLEI IN KALUZA-KLEIN THEORY
01.00.00 Physical-mathematical sciences
DescriptionThe special states, arising from the interaction of protons with a scalar massless field studied based on Kaluza-Klein theory. It is shown that some states have the parameters of atomic nuclei. We calculate the binding energy dependence on the number of nucleons for the entire set of known nuclides
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PARAMETRIC TRINOMIALS WITH ALTERNATING GALOIS GROUPS
01.00.00 Physical-mathematical sciences
DescriptionIn this article, we construct polynomials of third, fourth and fifth degrees with Galois groups as and respectively. In addition, we give examples of polynomials different degrees with Galois groups isomorphic transitive subgroup of group , but calculations with help Maple show that Galois groups of this polynomials is . Also Polynomials with as Galois groups are shown
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STRUCTURE AND SPECTRAL-LUMINESCENT PROPERTIES OF THE SILICATES OF RARE EARTHS WITH APATITE STRUCTURE
01.00.00 Physical-mathematical sciences
DescriptionCaGd4 x y zYbxEryCez(SiO4)3Osingle crystals were grown by the Czochralski method, the concentration dependence of the luminescence decay kinetics of the levels 4S3 / 2, 4I11 / 2 and 4I13 / 2 ions Er3+and X-ray analysis conducted for these crystals. By the results of stereo atomic analysis, it is shown that there is possible to estimate the lifetimes of levels, i.e. predict the probability of multipole interactions
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01.00.00 Physical-mathematical sciences
DescriptionThe article obtained the explicit form of root polynomials for cyclic polynomials of degree three over fields of characteristic 2. We also give an overview of known results on the root polynomials over arbitrary fields
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01.00.00 Physical-mathematical sciences
DescriptionIn this article, we describe a modification of the design pattern of "Strategy", which informs customers about the different types of algorithms (strategies) without disclosing the features of their implementation, as well as allows you to control compliance with the algorithms and methods. In addition, the architecture of the algorithms and methods that use the above modification is described in details
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CASCADE PHOTON EMISSION IN LUMINOPHORES AND STEREOATOMIC ANALYSIS
01.00.00 Physical-mathematical sciences
DescriptionThe relation between degree of sphericity of the Voronoi-Dirichlet’s polyhedron G3 and the ability to demonstrate the first stage of the cascade luminescence of Pr3+ for several crystalline fluorides and oxygen-containing compounds was revealed. It was found that LaZr3F15 and BaSiF6, with energy level 1S0 located below the bottom of 5d-band, which demonstrate cascade luminescence have the smallest value of G3 among investigated compounds
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01.00.00 Physical-mathematical sciences
DescriptionIn the article, a text is considered as a system, which includes both verbal and nonverbal subsystems of different levels of hierarchy. System generalization of the classical Shannon measure of information in text and a quantitative measure of the level of systematic text, called the "coefficient of emergence of Shannon", which is based on it, is proposed. This article shows mathematical relationship between the obtained coefficients of emergence of Hartley in 2002 and Shannon's proposed rate of emergence. It is shown that every object of cognition can be associated with a text reflecting its composition and structure. The process of learning from this perspective is seen as a process of constructing a text object models of learning and research process of these models. The definition of procedures for encryption and decryption, as well as quantitative measures of their effectiveness based on quantitative measures systematic texts is given. From this standpoint, the relationship of encryption and decryption with zipping and unzipping is shown. We propose a computer program for the numerical measurement of systemic and specific texts of the simulated systems and present some numerical examples in this article
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BINDING ENERGY BIFURCATION AND CHAOS IN ATOMIC NUCLEI
01.00.00 Physical-mathematical sciences
DescriptionThe model of chaotic behavior of nucleons in nuclei, based on the model of nuclear interactions and the Fermi-Dirac statistics is discussed