Pitirim Sorokin Syktyvkar State University (Russian: Сыктывкарский государственный университет имени Питирима Сорокина; Komi: Коми Республика, romanized: Сыктывкарса канму университет) is a public university in the city of Syktyvkar, the capital of the Komi Republic (Russia). With over 9,000 full-time students and more than 600 faculty members, it is the largest institution of higher education in the Komi Republic.Syktyvkar State University was founded in 1972, making it the oldest university in the Komi Republic.The university includes 13 institutes and 52 departments and offers programmes at bachelor, master and doctoral levels in the fields of the mathematical and natural sciences, technology, humanities, law, medicine, economics, management, pedagogics and art.Syktyvkar State university actively participates in international partnership programmes and cooperation. It is a member of the cooperative network University of the Arctic, which concerns with education and research in the North. During the fall and winter 2007-2008, Syktyvkar State University was selected to host the Associate Regional Office of Undergraduate Studies for Russia of the University of the Arctic.The university is associated with the Russian Mineralogical Society.In March 2009 the university established the Sorokin Research Center to undertake research and publication of archive materials on the sociologist Pitirim Sorokin from international sources, mainly from the Sorokin's special collection at the University of Saskatchewan in Canada..
The concentration dependencies of the resonance line and linewidth of ferromagnetic resonance were analyzed for two series of metal-dielectric composite films with composites CoFeB/SiO2 and CoFeZr/Zr2O3 during the work. Both series contain low CoFe alloy concentration, not exceeding 50 at.% The presence of granular and granular-percolation magnetic structures was revealed in the nanocomposite films. It was shown that the magnetic structure of composite films significantly affects the width and position of ferromagnetic resonances. The influence of metallic alloy concentration and orientation of static and alternating magnetic fields on the parameters of ferromagnetic resonance was demonstrated. In the initial position, magnetic fields lie within samples plane. It was demonstrated that the ferromagnetic resonance method is represents a structurally sensitive method for composite films investigation.
We present a theoretical framework for quasi-periodic temporal photonic crystals (PCs) based on four types of deterministic Kolakoski sequences. The proposed system consists of two temporally modulated dielectric responses, where the refractive index contrast generates a momentum gap in the frequency-momentum space. Unlike conventional temporal PCs, the deterministic aperiodic ordering of the Kolakoski sequence creates multiple momentum gaps and resonant states over the momentum space. Using the transfer matrix method, we systematically analyze the influence of the permittivity contrast and temporal layer duration contrast on the transmission characteristics in both lossless and lossy cases. Results show that aperiodic order enhance the momentum gaps due to the increased number of temporal layers and stronger Floquet modes. Increasing permittivity contrast increasing width in the momentum gaps, while varying layer durations, causes larger momentum shifts in the momentum spectrum in both systems. In the lossy regime, material loss slightly enhance the amplification without significantly altering the position of the momentum gaps. These findings highlight the potential of Kolakoski-based temporal PCs for ultrafast, dynamically tunable photonic devices.
Вводятся в рассмотрение и изучаются обобщенно плотные цепи, т.е. цепи, сводящиеся определенным образом к плотным цепям. Описаны максимальные плотные подцепи произвольной цепи. Доказано, что обобщенная плотность цепи равносильна существованию в ней плотной подцепи. Выяснено строение обобщенно плотных цепей: они совпадают, с точностью до изоморфизма, с ординальными суммами обобщенно дискретных цепей по плотным цепям. Библиография: 5 названий.
The paper studies the magnetic structure, electronic spectra, magnetic and conductive properties of composite films (CoFeB + SiO2) with different metal concentrations CoFe x = 41‒75 at
This paper is devoted to the numerical construction of the Green’s function for the biharmonic operator on the unit square under clamped boundary conditions. The problem models the bending of a thin elastic Kirchhoff – Love plate subjected to an arbitrary transverse load. Within the framework of the Galerkin – Ritz projection method, a comparison is made between the trigonometric basis of sine squares and a polynomial system based on shifted Legendre polynomials with a weight “bubble” factor that exactly satisfies the homogeneous boundary conditions. The completeness of the polynomial system in the energy space H02(Ω), the quasi-optimality of the approximation by Cea’s lemma, the exactness of the method on polynomial data, and the exponential (spectral) convergence rate for analytic solutions are demonstrated. It is shown that the trigonometric system of sine squares is not complete in H02(Ω); the closure of its linear span in the energy norm coincides with the subspace of functions whose second derivative is symmetric with respect to the midpoint of the interval. Consequently, the Galerkin approximations with this basis converge only for solutions with a symmetric Laplacian and stagnates otherwise. Numerical experiments confirm the theoretical conclusions and verify the algorithm against classical reference coefficients for the deflection of a clamped square plate (uniform load and concentrated force). The Legendre polynomial basis provides high-accuracy approximation of higher derivatives, which is unattainable for the trigonometric analogue.
