Modern trends in paradiplomacy: a case of Russian-Finnish regional cooperation
For several decades, EU-Russian regional cooperation helped effectively respond to the local challenges. The EU terminated programmes for regional cooperation with Russia and Belarus in 2022. The existing paradiplomatic structure, however, may be of interest to scholars and policymakers as a model to be reproduced by Russia in cooperation with non-EU neighbours. The study aims to identify the main trends in paradiplomacy by examining Russian-Finnish regional collaboration. It reviews theoretical...
On interaction of a qubit with a fluctuating environment
It is shown that the equations of Gurvitz and Mozyrsky for a system consisting of a qubit interacting with a fluctuating environment in certain conditions are reduced to evolution equations of the qubit. Such evolution equations for the qubit can be generalized to the form, which implies the existence of entangled states of the combined system. Among these entangled states two are symmetric, and two — antisymmetric. One symmetric state is stationary.
1. Leggett A. J., Chakravarty S., Dorsey A...
Algebra method of the construction of the Maxwell equations in a 2D inhomogeneous dielectric
We study discrete isospectral symmetries for the linear problem in spatial dimensions two, by developing a Darboux (Moutard) transformation formalism for this problem. As an application, we construct some singular and nonsingular integrable potentials (dielectric permitivity) for ...
Geopolitical regionalisation of the Baltic area: the essence and historical dynamics
The article discusses a theoretical framework for investigating regionalisation and geopolitical regionalisation, employing the activity-geospatial approach. The main theoretical foci of this study are system-forming, or region-building, socio-geo-adaptation and geopolitical relations. The article examines various types of transboundary and transnational geopolitical regionalisation as manifestos of geopolitical relations. These types are categorised based on scale, functional area, historical and...
The Role of the Kantian “Power of Judgment” in the “Nonmodern” Study of Conscious Experience
One of the major problems in contemporary philosophy of mind is the dualism of first-person and third-person perspectives — the question of whether conscious experience is public and epistemically accessible or private and qualitative. Recognising the relevance of the arguments of both sides, naturalists and anti-naturalists, I attempt to resolve this dichotomy using Bruno Latour’s methodology on the theories of Immanuel Kant and Moritz Schlick. To do so, I propose not to reduce the theory of...
Petroleum as a space for non-translation: Hikmet, Negarestani, Parshchikov
In 1927, Nâzım Hikmet composed several poems based on his impressions of his visit to Azerbaijani capital, the city of Baku. They will be included in the collection Song of the Sun-drinkers (1928) and will soon be translated into Russian. The Baku cycle was one of the first attempts at a symbolic representation of petroleum in Russian poetry, in many ways foreshadowing the later poetics of the subject, which will develop on Russian material only in the 2000s. One can look at these poems by Hikmet...
On the Quantum Fourier Transform in the Ising and Beam Splitter Models
It is shown that the quantum Fourier transform preserves the commutation relations between the bilinear functions of the creation and annihilation operators. Based on the definition of the quantum Fourier transform introduced in the framework of the Ising model, two of its special cases are considered. It is shown that one particular case of the quantum Fourier transform is realized in the model of a symmetric beam splitter.
Ivanov A. I., Shpilevoy A. A.
quantum Fourier transform, Ising...
Secure sending of messages over the mesh network based on bluetooth
In the paper we discuss the main problems that have to be solved to ensure the confidentiality of communication between the nodes of mesh networks based on smartphones. We describe the important details of Bluetooth and Bluetooth Low Energy technologies, using which you can solve some of the problems described. Next, we briefly describe elliptic curve cryptography and choose a specific curve for it. We build an Elliptic Curve Integrated Encryption Scheme based on the elliptic curves key exchange...
Acceleration of Computations in Jacobian Hyperelliptic Curve
In article is stated the method of acceleration of procedures of addition and doubling points Jacobian of a hyperelliptic curve in affine and projective coordinates. Corresponding modified Miller algorithms are developed. In affine coordinates an expense for group operation of doubling there are more than expenses for group operation of addition, therefore it is more favorable to realize consistently two additions, than doubling and addition. Estimations of efficiency of the modified algorithms...
Inhomogeneous Homothety and Integral Identities for Solenoidal Fields
There is proved a new set of integral identities. To this problem the interest is explained by hydrodynamics problems.
1. Соболев С. Л. Об одной новой задаче математической физики // Известия АН СССР. Сер. матем. 1954. Т. 18. С. 3—50.
2. Соболев С. Л. Избранные труды. Новосибирск, 2003. Т. 1.
3. Доброхотовов С. Ю., Шафаревич А. И. О поведении на бесконечности...
A. About the method of optimizing the parameters of antenna systems
The article is devoted to the development of methods for optimizing the structural parameters of antenna systems, performed in order to improve the basic performance characteristics. Models are considered and estimated calculations are carried out for structures implemented using symmetric vibrators. Conclusions about the feasibility of changing the geometric parameters of the antenna system, in terms of finding its optimal configuration in a specific frequency range.
1. Balanis C. A. Modern...
Closed lattice of Toda equations
The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains....
System analysis and methodology for developing a software product of a mathematical model of physical processes for the aviation industry
The method of closed chains of discrete symmetries is used to multiply Toda lattices in one and two spatial dimensions. Using the modified Toda equations m0TCand m1TC as an example, it is shown that the combination of the Darboux and Schlesinger transformations leads to closed dressing chains....
Towards a Theory of Barotropic Geostrophic Currents
In this article, we examine barotropic geostrophic currents in a Cartesian and the polar coordinate system. The polar system is preferable for analysing geostrophic currents, since radial symmetry is intrinsic to these currents. We obtained ratios between the general hydrodynamic properties. The expressions of geostrophic current velocity components in terms of pressure were the most important among them. The procedure of deriving the expression of vorticity in terms of pressure was carried out....
Model studies of the optimization procedure for the design parameters of the log-periodic C-band antenna
An optimization procedure for constructive parameters of the log-periodic C-band antenna developed in the patent No. 2571607 “Microstrip logoperiodic antenna” is investigated. The electrodynamic model of the log-periodic microstrip- type antenna for the C-band has been developed.
1. Петров Б. М. Логопериодические вибраторные антенны. М., 2005.
2. Кочержевский Г. Н. Антенно-фидерные устройства. М., 1989.
3....
On the relations between the integrable hierarchies
We demonstrate that such distinct equations as the KdV, mKdV, NLS as well as the Calogero–Degasperis, Toda and Volterra equations can generated from each other via the discrete symmetries chains. Interestingly, the key ingredient in this process is none other but the famous KP equations.
1. Веселов А. П., Шабат А. Б. Одевающая цепочка и спектральная теория оператора ...
Inertial oscillations induced by the propagation of the Vis-tula Lagoon waters in the coastal zone of the Southeastern Baltic Sea
A mathematical model of the mechanism of anti-symmetric vortex at the confluence of fresh water to sea water, observed, in particular, the output of the Baltic Canal connecting Visla Lagoon to the Baltic Sea is constructed. It is shown in particular that the main reason the vortex formation in this case is the Coriolis force. Also analytically calculate the exact dependence of circula-tion rates from time to time for the three simplest forms of "language" of the intrusion of fresh water...
Fields of fundamental and captured geometrical objects of the 2nd or-der H-distribution of affine space
Norden inner normalization fields of basic structural Λ-, L-, H-sub-bundle of hyperband H-distribution are constructed in 2nd order differential neighborhood of affine space An by means of symmetric fundamental tensors of 1st order.
1. Попов Ю. И. Введение в теорию регулярного гиперполостного распреде-ления аффинного пространства // Вестник Балтийского федерального уни-верситета...
Giving the 1st order affine connection by means of the 2nd order vector-valued forms
Affine connection is given by 2nd order vectors called horizontal. Vertical and horizontal forms of 2nd order are entered for 1st order affine connection. It is proved that symmetric affine connection in the bundle of tangent linear frames defines vertical linear operator (a vertical vertical-valued form of 2nd order for 1st order affine connection) from 2nd order tangent space into 1st order tangent space to a manifold. It is shown that affine connection in bundle of tangent lin-ear frames defines...
A Lax pair for the (1+3) nonlinear equation
... systems of nonlinear partial differential equations in mathematical sciences. The search for a systematic approach to developing exact solutions of such systems has become one of the main problems in the theory of integrable systems.
1. Fokas A. S. Symmetries and integrability // Stud. Appl. Math. 77. 1987. No. 3. P. 253—299.
2. Солитоны и метод обратной задачи / пер. с англ. M., 1987.
3. Matveev V. B., Salle M. A. Darboux Transformation and Solitons. Berlin,...
An efficiency of multi-grid method with semi-coarse as smoothing iteration
For solving systems of linear equations with block tridiagonal matrices there is considered an efficiency of multi-grid method with semi-coarse as smoothing iteration. Numerical results are presented.
1.Mandel J., McCormick S., Ruge J. An algebraic theory for the multi-grid method including V-cycle // SIAM J. Numer. Anal. 1983. Vol. 20.
2. Hackbusch W. Multi-Grid Method and Applications. Springer, 1985.
3. Maitre J.-F., Musy F. Multigrid Methods for Symmetric Variational Problems: A General Theory...
Way of shortening the inclusion of antennas of the transducer of the impedance shoulder vibrator
A method is proposed shortening of vibrator antenna. Capacitive reactance is compensated offset by the inclusion of the extension of the inductance coil in the shoulders vibrator. This interpretation of the short tape antenna gives the opportunity to increase the power of the radiation virtually reducing the efficiency of the antenna system, in a result of losses on the inductive element.
1. Гончаренко И. В. Антенны КВ и УКВ. М., 2005. Ч. 2 : Основы и практика...
Generating function and its application for generalization of Legendre polynomials
In the present paper the generalization of Legendre polynomials with the help of generating function is studied. The explicit form of considered functions is found. Some special cases are considered. Particular attention is paid to the case when the parameters defining the studied functions are different, symmetric about zero real numbers. Some properties of constructed functions are obtained. Based on the results of numerical experiment a hypothesis about zeroes of these functions is stated.
1...
Tangential decomposition and its generalization
We present a preconditioner for large systems of linear equations based on the incomplete block decomposition for block-tridiagonal matrices. This method generalizes frequency-filtering method of G. Wittum [1] and methods developed in [2–4] etc.
1. Wittum G. Filternde Zerlegungen-Schnelle Löser für grosse Gleichungssysteme// Teubner Skripten zur Numerik. Stuttgart, 1992. Bd 1.
2. Buzdin К. Tangential decomposition // Computing. 1998. № 61. P. 257—276.
3. Buzdin К., Wittum G. Two-frequency...
A variant of multi-grid method with semi-coarse
For solving systems of linear equations with block tridiagonal matrices there is presenting a variant of multi-grid method with semi-coarse. There are giving the results of numerical experiments, that show high efficiency of presented method.
1.
Mandel
J
.,
McCormick S
.,
Ruge J
.
An
algebraic
theory
for
the
multi
-
grid
method
including
V
-
cycle
//
SIAM
J
.
Numer
.
Anal
. 1983.
V
ol. 20.
2.
Hackbusch W
.
Multi
-g
rid
m
ethod
and
a
pplications
.
Springer
, 1985.
3.
Maitre J...
Mathematical model of transportation of relativistic electronic beams. Analogy to the equations of gas dynamics
Analytical comparison of hyperbolic system consists of four equations for moments of the distribution function of relativistic electron beam (REB), the modeling transportation processes in the gas environment and the equations of gas dynamics of ideal polytropic gas was carried out. The found analogy between these models allowed to specify mathematical statement of a problem for REB and to facilitate a choice of edge conditions of the task.
1. Lee E. P. Kinetic theory of a relativistic beams //...
The Fourier method, symmetries and the Green function of the Dirichlet problem
The article offers the deduction of expressions for the Greene function of the Dirichlet problem for a strip and a rectangle by means of
three methods: the Fourier method and methods involving the factorized variant of the symmetry principle and conform maps.
1.
Лаврентьев М.А, Шабат Б.
В.
Методы теории функции комплексного переменного. М., 1973.
2.
Привалов И.
И.
Введение в теорию функций...
Cognitive and linguistic aspects of forming of event-driven concepts
The term event-driven concept is analyzed in the dynamic process of its tructuring in a recipient's consciousness; the functional semantico-syntactical frame of event-driven concepts with various categorial functional relations between the participants of corresponding events is shown and the linguodidactic aspect of the use of even-driven concept derivation theory for concepts of event-driven nature is demonstrated.
1.
Богданов В. В.
Моделирование семантики предложения...
Optimal parameters for consequences of tangential and two-frequency decompositions
A preconditioner for large systems of linear equations based on an incomplete block-decomposition for a block-tridiagonal matrices is considered. This method generalizes methods are developed by Buzdin and Wittum [1; 2]. A method of choosing quasioptimal parameters for consequences of tangential and two-frequencies decompositions based on analysis of model problems is developed. It’s convergence rate is better than ADI’s convergence rate in commutational case..
1.
Buzdin К
. Tangential decomposition...
Good-neighbourly relations and the European Neighbourhood Policy — What is the Difference?
The article compares the scope of two diplomatic terms, crucial for the contemporary practice of international cooperation. Drawing examples from historical and contemporary documents, the author shows the difference between the settled notion of good-neighbourly relations and the recently introduced one — the European Neighbourhood Policy. The ENP ab initio absorbs the old term, which characterises the symmetric relation of international agents in the framework of the Westphalian system and foregrounds...