Geodesic

Sommaire du Fascicule no. 1

From the editor
To the 80th anniversary of Alexander Vasilyevich Mikhalev
p. 8-26
70 year jubilee of academician Alexei~L.~Semenov
p. 27-56
On the possibility of a periodic word reconstruction from the subwords of fixed length
p. 57-66
Note on the mean absolute value theorem for the Dirichlet's $L$-function in the critical stripe
p. 67-75
Construction of some mutual arrangements of $M$-cubic and $M$-quintic
p. 76-91
Stochastic analysis to mechanical system to its reliability with varrying repairing services
p. 92-104
Designing megastable systems with multidimensional lattice of chaotic attractors
p. 105-117
Tropical sequences associated with Somos sequences
p. 118-132
Criterion for the existence of a consistent protocol in a partial erasure channel
p. 133-151
Factor analysis method applied to the results of crowdfunding projects
p. 152-162
On the coercitive solvability of the non-linear Laplace--Beltrami equation in Hilbert space
p. 163-176
Сharacterization of distributive lattices of quasivarieties of unars
p. 177-187
Commutative semigroups with bounded orders of subdirectly irreducible acts
p. 188-199
Filial rings on direct sums and direct products of torsion-free abelian groups
p. 200-212
The projective geometry over partially ordered skew fields,~II
p. 213-224
On two formulas for Macdonald functions and their group-theoretical sense
p. 225-233
On a locally nilpotent radical Jacobson for special Lie algebras
p. 234-272
Weak Faddeev--Takhtajan--Volkov algebras. Lattice $W_n$ algebras
p. 273-291
Moderately partial algebras whose equivalence relations are congruences
p. 292-303
The lattice of definability. Origins and directions of research
p. 304-327
The convergence condition for improper short integrals in terms of Newton polytopes
p. 328-339
Homomorphisms from infinite semilcyclic $n$-groups to a semiabelian $n$-group
p. 340-352
Endomorphisms of semicyclic $n$-groups
p. 353-369
Mathematical variational method for determining the effective yield strength of two-component composite materials
p. 370-377
Mathematical regularities of the sliding friction process of a porous material based on iron impregnated with lubricating oil with dispersed particles of fluorinated graphene
p. 378-389
Mathematical regularities of changes in the characteristics of the friction process of a porous composite material based on copper containing oil with graphene particles
p. 390-402
At the sharp turns of the 20th century European history
p. 403-412
Productive education in the mathematical school
p. 413-446
Essay of history of topological education in Nizhny Novgorod
p. 447-459
Diffraction of cylindrical sound waves by an elastic cylinder with an radially inhomogeneous coating
p. 460-472
Basic equations determining stress-strain plastic state of metal materials taking into account their physical and structural parameters
p. 473-481
On the sequence of the first binary digits of the fractional parts of the values of a polynomial
p. 482-487
Formal security models
p. 488-494
A remark on a product of two formational tcc-subgroups
p. 495-501
35 years of school informatics. How the foundation of modern informatics and informatization of education was created
p. 502-519
Computer science, computer, computational complexity
p. 520-536

Sommaire du Fascicule no. 2

From the editor
On several problems of the analytic number theory in the creative work of G. I. Arkhipov and S. M. Voronin
p. 7-26
Regression differentiation and regression integration of finite series
p. 27-47
Quasi-metrics on graphs
p. 48-75
An algorithm for checking the existence of subquasigroups
p. 76-89
Lubin--Tate extensions and Carlitz module over a projective line: an explicit connection
p. 90-103
On Gelfond-type problem for generalized Zeckendorf representations
p. 104-120
Localization of the indicator optimal exponent of the Ramsey--Kass--Koopmans problem tending to infinity of the power utility function
p. 121-134
Jackson--Stechkin type inequalities and widths of classes of functions in the weighted Bergman space
p. 135-144
Paired discrete competition with a free route choice
p. 145-159
Completion of the proof of Brunn's theorem by elementary means
p. 160-182
Matrix of relative forest accessibility of the oriented path and the oriented cycle
p. 183-201
Combinatorics on words, facrordynamics and normal forms
p. 202-235
Arithmetic properties of direct product of $p$-adic fields elements,~II
p. 236-256
The subdirect irreducibility and the atoms of congruence lattices of algebras with one operator and the symmetric main operation
p. 257-270
On Rees closure in some classes of algebras with an operator
p. 271-287
On a linear Diophantine equation and its applications
p. 288-303
Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter
p. 304-312
Generalized Rauzy tilings and linear recurrence sequences
p. 313-333
Infinite linear and algebraic independence of values of $F$-series at polyadic Liouvillea points
p. 334-346
Alexander~Yuryevich Olshanskii (to the 75th anniversary)
p. 347-365
Yuri Filippovich Golovnev (to the 80th anniversary)
p. 366-372
Computer science, Mathematics and Logic in the aspect of interdisciplinary and metasubject educational communication
p. 373-388
Mathematical optimization of the process of electrodispergation of the waste of the alloy of the residence permit
p. 389-401
Computer simulation of the stimulation of electromagnetic vibrations of an open plasma resonator
p. 402-416
From the history of the concept of structural stability
p. 417-436
History of powder metallurgy development and its application in modern technologies
p. 437-448
On the importance of mathematical calculations in the study of structure characteristics and the physical and mechanical properties of 30XGSA steel, smelted on a different charge
p. 449-471
On the crater of an ejection formed by an explosion of two flat surface cord charges
p. 472-483
Note on a theorem of Davenport
p. 484-489
On exremality of affine image of topological product of some varieties
p. 490-500
Restrictions on the values of the consumption function in the Ramsey --- Kass --- Koopmans economic growth model in the case of a stationary saving function
p. 501-509
Symmetries of Einstein--Weyl manifolds with boundary
p. 510-518
Arithmetic properties of the values some hypergeometric $F$-series
p. 519-527
One application on hypergeometic series and values of $g$-adic functions algebraic independence investigation methods
p. 528-535
Values of hypergeometric $F$-series at polyadic Liouvillea points
p. 536-542

Sommaire du Fascicule no. 3

От редакции
P. L. Chebyshev --- scientist, teacher and scientific figure
p. 6-19
Estimates the Bergman kernel for classical domains \'{E}.~Cartan's
p. 20-31
Jordan--Kronecker invariants of Borel subalgebras of semisimple Lie algebras
p. 32-56
Inversion formula for Dirichlet series and its application
p. 57-76
Quesitions of enumeration of spanning forests of selected graphs
p. 77-99
About three-dimensional nets of Smolyak II
p. 100-121
Inequalities for Dunkl--Riesz transforms and Dunkl gradient with radial piecewise power weights
p. 122-132
Hausdorff operators on Hardy type spaces
p. 133-142
Polynomials with small values in the neighborhoods of zeros in Archimedean and non-Archimedean metrics
p. 143-153
Solving the Delsarte problem for $4$-designs on the sphere $\mathbb{S}^{2}$
p. 154-165
Trigonometric sums of grids of algebraic lattices with infinitely differentiable weights
p. 166-178
On some additive problems of Goldbach's type
p. 179-195
Smooth manifold of one-dimensional lattices and shifted lattices
p. 196-231
$\bar \omega$-fibered formations of finite groups
p. 232-244
Polyadic Liouville numbers
p. 245-255
Some number-theoretic methods for solving partial derivatives
p. 256-297
Numerical optimization of the sintering process of dispersed electroerosion particles of the alloy VNZh 95
p. 298-310
On the development of nonlinear integral equations at the early stage and the contribution of domestic mathematics
p. 311-344
The integral formula in problems of the stability of inhomogeneous rods
p. 345-352
Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients
p. 353-367
About application of number-theoretic grids in problems of acoustics
p. 368-382
From the algebraic methods of Diophantus--Fermats--Euler to the arithmetic of algebraic curves: about the history of diophantine equations after Euler
p. 383-404
Pafnutiy Lvovich Chebyshev (1821--1894), a man of science in the service of Russia (On the occasion of the bicentennial of his birth)
p. 405-422
Reflection and refraction of a plane sound wave in an elastic plate with an inhomogeneous anisotropic coating
p. 423-437
On the effective elastic properties of a layered composite material made using 3D-technology
p. 438-442
Optimal design of the damping properties of porous metal composites
p. 443-447
A remark on a lemma from Filippov's article on differential inclusions
p. 448-452
Approximation by spherical polynomials in $L^{p}$ for $p1$
p. 453-456
Finite groups with $OS$-propermutable subgroups
p. 457-463
Ball's lemma as an exercise
p. 464-466
On the global solvability of the Cahn-Hilliard equation
p. 467-473
On a property of the Fenchel transform
p. 474-478
Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)
p. 479-492

Sommaire du Fascicule no. 4

From the editorial board
Gaussian sums and their application to the proof of quadratic reciprocity law
p. 7-87
On the problem of conjugacy of words in a certain class of subgroups of Artin groups
p. 88-99
Nikol'skii constants for compact homogeneous spaces
p. 100-113
Riesz potential for $(k,1)$-generalized Fourier transform
p. 114-135
Properties and application of a positive translation operator for $(k,1)$-Generalized Fourier transform
p. 136-152
Dynamic processes in the economics of multilateral network platforms
p. 153-167
On the hyperbolic parameter of a two-dimensional lattice of comparisons
p. 168-182
Partial orders and idempotents of monoids
p. 183-199
Estimates of short exponential sums with primes in major arcs
p. 200-224
Sound waves diffraction by an elastic cylinder with inhomogeneous anisotropic outer layer near the plane
p. 225-240
On a class of factors of the Chebyshev polynomials
p. 241-252
On the existence of $RR$-polyhedra associated with the icosahedron
p. 253-264
On the bifurcation of the solution of the Fermat--Steiner problem under $1$-parameter variation of the boundary in $H(\mathbb{R}^2)$
p. 265-288
The relation between the continuity of the lengths of curves and the continuity of distances in the case of boundedly compact metric spaces
p. 289-305
On multiple rational trigonometric sums over a field of algebraic numbers
p. 306-323
Kharkiv school of M. I. Kadets and mathematics of Tula
p. 324-331
Diffraction of a plane sound wave by an elastic sphere with an inhomogeneous transversal isotropic layer
p. 332-343
On diameter bounds for planar integral point sets in semi-general position
p. 344-351
Mathematical effective equation of unloading of porous metal composite materials
p. 352-360
New megastable system with 2-D strip of hidden attractors and analytical solutions
p. 361-369
Defining equations of deformation of materials with double anisotropy
p. 370-384
To the memory of Valentin Fedorovich Butuzov
p. 385-387

Sommaire du Fascicule no. 5

From the editorial board
Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)
p. 5-15
On a Cauchy problem with periodic initial values
p. 16-24
Pseudorandom search algorithms in problems of optimal choice of parameters of complex econometric models
p. 25-43
Realization of focal singularities of integrable systems using billiard books with a Hooke potential field
p. 44-57
Sharp Bernstein--Nikolskii inequalities for polynomials and entire functions of exponential type
p. 58-110
Quesitions of enumeration of selected classes of oriented and non-oriented trees and forests
p. 111-128
The number of primitive unassociated third-order matrices of a given determinant
p. 129-137
Transformations of metrics that preserve the geometric characteristics of finite metric spaces
p. 138-160
On an extremal problem for positive definite functions
p. 161-171
Generalized Laplace transform based on the differentiation operator with piecewise constant coefficients
p. 172-184
Topological classification of non-compact 3-atoms with a circle action
p. 185-197
On the mean values of the Chebyshev function and their applications
p. 198-222
Scattering of a plane sound wave by a sphere with an inhomogeneous anisotropic coating near the flat surface
p. 223-233
On real zeros of the derivative of the Hardy function
p. 234-240
On polyadic Liouville numbers
p. 243-251
Numerical methods for optimizing the process of fusion of electroerosive particles of the KHМS alloy
p. 252-262
Once again about the > of Moscow mathematicians in Petrograd in 1921
p. 263-269
Ways of development of mathematical analysis at Tula State Lev Tolstoy Pedagogical University (to the 70th anniversary of the formation of the Department of Mathematical Analysis)
p. 270-306
Features of the decay of cementite of hypereutectoid carbon steels under various conditions and conditions
p. 307-314
From chair history computer science>>
p. 315-327
The effect of the tempering temperature on the structure and mechanical properties of thermomechanically strengthened rebar rolled products
p. 328-339
On some properties of the constant of the best joint Diophantine approximations
p. 340-345
On one algorithm for searching the best joint Diophantine approximations
p. 346-349
About the Stirling formula
p. 350-353
Refinement of Bernstein--Nikolskii constant for the sphere with Dunkl weight in the case of octahedron group
p. 354-358
About one functional equation
p. 359-364
On generalized non-uniform Korobov grids
p. 365-373
Modeling of the process of corrosion cracking of underground pipelines
p. 374-383
Regularities of gas-laser processing of metal alloys
p. 384-390
Hidden markov models in the problem of detecting attacks on computer networks
p. 391-399
Abelian groups with finite primary quotients
p. 400-406
The twentieth anniversary of the Chebyshevskii Sbornik
p. 407-416
In memory of Vyacheslav Alexandrovich Artamonov
p. 417-418
In memory of Vladimir Konstantinovich Kartashov
p. 419-421