999 research outputs found

    Toroidal equilibria in spherical coordinates

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    The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low β\beta Solovev and high β\beta plasma equilibria in terms of elementary functions

    ANTI-CRISIS SOLUTIONS FOR THE DEVELOPMENT OF SMALL AND MEDIUM-SIZED BUSINESSES AS A FACTOR IN IMPROVING THE ECONOMIC SECURITY OF THE STATE

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    The article presents anti-crisis measures to support small and medium-sized businesses implemented by the  Government of the Russian Federation in the COVID-19 pandemic. The paper reviewed also the foreign experience  of using measures to support small and medium-sized businesses in the context of the spread of a new coronavirus infection and proposed measures to improve the effectiveness of anti-crisis programs to support small and medium-sized businesses during the spread of coronavirus infection. The authors used in this article the following research methods: analysis and generalization of Russian and foreign anti-crisis measures. The study proposed, based on this analysis, measures to improve the effectiveness of anti-crisis programs to support small  and medium-sized businesses during the spread of coronavirus infection in the Russian Federation

    Formation of healthy saving competence of students of high schools in the context of their cross-cultural formation

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    Рассматриваются организационные и содержательные аспекты формирования здоровьесберегающей компетентности студентов вузов в контексте их общекультурного становленияThe article considers the organizational and content aspects of the formation of health-saving competence of university students in the context of their general cultural developmen

    Electrophoretic deposition of YSZ layers on pyrolytic graphite and a porous anode substrate based on NiO-YSZ

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    Solid oxide fuel cells are promising hydrogen energy devices. The goal of this research was to create ceramic layers for SOFCs based on yttria-stabilized zirconia (YSZ) and to investigate their parameters. YSZ ceramic layers with a thickness of 5.14 μm on a porous NiO–YSZ substrate and 7 μm on pyrolytic graphite were obtained by electrophoretic deposition. X-ray diffraction and electron microscopy were used to determine the composition, structure, and morphological features of ceramic layers. The effects of the substrate's nature, the degree of dispersion of the initial YSZ powder, and the heat treatment conditions on the properties of the ceramic layer YSZ were considered

    On Nonperturbative Calculations in Quantum Electrodynamics

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    A new approach to nonperturbative calculations in quantum electrodynamics is proposed. The approach is based on a regular iteration scheme for solution of Schwinger-Dyson equations for generating functional of Green functions. The approach allows one to take into account the gauge invariance conditions (Ward identities) and to perform the renormalization program. The iteration scheme can be realized in two versions. The first one ("perturbative vacuum") corresponds to chain summation in the diagram language. In this version in four-dimensional theory the non-physical singularity (Landau pole) arises which leads to the triviality of the renormalized theory. The second version ("nonperturbative vacuum") corresponds to ladder summation and permits one to make non-perturbative calculations of physical quantities in spite of the triviality problem. For chiral-symmetrical leading approximation two terms of the expansion of the first-step vertex function over photon momentum are calculated. A formula for anomalous magnetic moment is obtained. A problem of dynamical chiral symmetry breaking (DCSB) is considered, the calculations are performed for renormalized theory in Minkowsky space. In the strong coupling region DCSB-solutions arise. For the renormalized theory a DCSB-solution is also possible in the weak coupling region but with a subsidiary condition on the value of α\alpha.Comment: 31 pages, Plain LaTex, no figures. Journal version: some discussion and refs. are adde
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