Geodesic

Sommaire du Fascicule no. 1

The problem of V.\,G.~Sprindzhuk on the square-free part of the product of consecutive natural numbers
p. 3-7
On the number of new logical constants in intuitionistic propositional calculus
p. 7-10
On the approximation of differences of dilogarithms and their values at rational points
p. 10-12
On checking tests for schemes with constant faults on input of elements
p. 12-18
On polynomials that deviate most from zero on a domain boundary
p. 18-22
Logical semirings and their use in constructing fast algorithms
p. 22-29
An extremal problem for periodic functions with small support
p. 29-32
A note on the Steinlein theorem
p. 32-35
On identities in the product of normal nilpotent subgroups
p. 35-37
Enumeration of routes in a Boolean algebra with respect to intersection and nonintersection relations
p. 38-42
A simulation model of an aircraft trajectory stabilization system
p. 43-48
Theory of rigid wheel rolling along a deformable rail
p. 48-55
Experimental study of aerodynamic for three-dimensional bodies with a star-shaped cross-sections at super- and hypersonic speeds
p. 56-59
On motion of fluid with varying viscosity in a round tube
p. 59-62
Comet nucleus motion in the upper atmosphere of a planet
p. 63-65
On the smoothness of basic parabolic potentials in a domain that is infinite with respect to ``time''
p. 66-68
On the standardization principle in the theory of bounded sets
p. 68-70
On uniform pointwise convergence in a base of sets
p. 70-72
On positive solutions of the Neumann problem for nonlinear elliptic equations in conical domains
p. 73-74
Stabilization of bilinear oscillatory systems with two degrees of freedom
p. 75-77

Sommaire du Fascicule no. 2

On the transfinite dimension of topological products
p. 3-5
Simultaneous Pollaczek polynomials
p. 5-9
On the exact rate of rational approximations of $e^{-x}$ on $[0;\infty)$ by inverse Taylor sums
p. 9-14
On basis algebras of finite homological dimension
p. 15-17
An effective construction of a discrete analogue of functions with a bounded second derivative
p. 18-22
On linear hashing of binary sets
p. 22-25
Integration and measurability
p. 25-30
State equations with parameters of some continua
p. 31-35
Magnetic field distribution around an ellipsoidal-formed body immersed into a nonhomogeneously heated magnetic liquid
p. 35-39
Reduction of linear discrete dynamic systems to a stationary form by state space extension
p. 39-42
Equations of motion of a magnetic fluid in a magnetic field in the case of weak nonequilibrium magnetization
p. 42-45
Inertial regimes of capillary film flows
p. 45-50
Orthogonal expansion of the category of representations of two projectors
p. 51-53
On the arithmetic properties of some series
p. 53-55
Variational measure and sufficient differentiability condition of additive interval function
p. 55-57
On the Diophantine equation $x^3+y^3+z^3=nxyz$
p. 57-58
On the complexity of schemes in incomplete bases
p. 58-61
Errata: ``Invariants of Hopf algebras''
Errata: ``Geometric analysis of the generalized Jacobi problem''

Sommaire du Fascicule no. 3

Removable sets for elliptic equations with discontinuous coefficients
p. 3-6
On the complexity of the recognition of the completeness of systems of functions in the class $P_3^*$
p. 6-9
Integrable gradient flows on classic manifolds and Morse theory
p. 9-15
Enumeration of solutions of some equations in finite lattices
p. 16-21
Continuality of a family of logics that are complete in the sense of Novikov with a new monadic connective
p. 22-25
Local minima of commutator norms in finite factors
p. 25-28
On the factorization of some classical three-dimensional Cremona transformations in the framework of the Sarkisov program
p. 29-31
On invariants of finite-dimensional pointed Hopf algebras
p. 32-35
Conjugacy of symbolic dynamical systems with an at most countable phase space
p. 35-39
Analytic invariants of dynamical systems with positive entropy
p. 40-43
Application of the large particle method for computing multiphase flows in domains of complex form
p. 43-46
High-speed penetration of a solid sphere into the soil
p. 47-51
Testing the quality of the stabilization on non-steady-state motions
p. 51-54
On the propagation of shock waves in a powder-like medium
p. 55-58
An example of a product of two normal groups that cannot be condensed to a normal space
On integer quaternions with norm equal to the power of a prime number
p. 60-62
An asymptotic formula for irreducible trinomials divisible by a given irreducible polynomial
p. 62-64
International Scientific Readings on Analytic Numbers Theory and Applications
p. 65-66
Research seminar on general algebra (fall and spring terms of 1995/96 academic year)
p. 67-69

Sommaire du Fascicule no. 4

Asymptotic solution of a boundary value problem for a singularly perturbed equation of mixed type
p. 3-7
An asymptotic formula for the sum of the number of divisors of Gaussian numbers
p. 7-11
Properties of Boolean mappings that are reducible to properties of their coordinate functions
p. 11-13
On an independent infinite system of group identities
p. 13-16
On extremal subspaces for classes of functions defined by kernels that do not increase oscillation
p. 16-19
Biregular rings of Laurent series
p. 20-22
Existence of a function with given rational approximations in the space $CA$
p. 22-24
On stable varieties of Lie algebras
p. 24-28
On symmetry fields of second degree in the momenta of geodesic flows on a two-dimensional sphere
p. 29-32
Levitation of a magnet in a magnetic fluid in a spherical vessel
p. 32-34
Torsional waves in a thick-walled elastic tube with boundedly pliable boundaries
p. 35-37
Diffraction of antiplane shear waves on a fixed rigid strip lying on a boundary of elastic half-space
p. 38-41
On the problem of the displacement of a viscous fluid from a capillary
p. 42-46
An example of a geodesic flow on the Klein bottle, integrable by a polynomial in the momentum of the fourth degree
p. 47-48
An initial-mixed problem for nonstationary systems in domains with nonregular boundaries
p. 49-51
Dugundji spaces with noncoinciding dimensions
p. 51-52
The Craig interpolation property in logics of proofs with a strong provability operator
p. 53-55
An estimate for the number of groups with one relation that have corank $1$
p. 55-57
On closed classes containing precomplete classes of the set of all one-place functions
p. 58-59
General upper bound of circuit complexity in an arbitrary infinite complete base
p. 59-61
Numerical study of the problem of disintegration of an arbitrary breakup in the case of cylindrical and spherical symmetry
p. 62-65
On the creative legacy of Vladimir Grigor'evich Demin (1929--1996)
p. 66-69

Sommaire du Fascicule no. 5

Fourier coefficients of piecewise-monotone functions of the class $\operatorname{Lip}(\alpha,p)$
p. 3-7
On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit
p. 7-11
On the inductive dimension of subsets of some nonmetrizable manifolds
p. 11-14
On the linear independence of the values of functions satisfying Mahler's functional equation
p. 14-17
On the class of Boolean functions uniformly distributed over balls with degree $1$
p. 17-21
On the rational approximation of the exponential in the uniform metric
p. 21-24
On conjugate functions of several variables
p. 24-26
Orthosimilar nonnegative expansion systems
p. 27-31
A countably compact $\nabla$-normal space has a countable character
p. 31-33
Optimal braking of a vehicle
p. 34-37
Electrification of plane channel walls by an aerosol flow containing rigid charged particles
p. 37-41
Numerical modeling of deformation and destruction of a thin-walled spherical shell (made of laminated viscoelastic composite and filled with fluid) under action of explosion at the center of the shell
p. 41-48
On diffusion in Hamiltonian systems
p. 49-52
On transfinite dimensions of partial topological products
p. 53-54
On the cohomology of double complexes
p. 54-56
Geometric symmetries of $SU(2)$-invariant Yang--Mills theory with a nonstandard Lagrangian
p. 56-59
On moduli of continuity of functions in Waterman classes
p. 59-62
Some algorithms for constructing large prime numbers
p. 62-64
Self-correcting schemes for functions of polynomial weight
p. 64-66
On probability of fall of a disk sliding on a horizontal plane
p. 66-68
Hyposcopic stabilization of the rotation of a spacecraft with two antennas
p. 69-71

Sommaire du Fascicule no. 6

Leonid Ivanovich Sedov (on the occasion of his ninetieth birthday)
p. 3-7
On the information entropy of Gegenbauer polynomials
p. 8-11
Construction of infinite series of closed locally minimal networks on convex polyhedra
p. 12-14
Locally minimal networks on surfaces of constant negative curvature
p. 15-17
On an extremal variety of Lie superalgebras
p. 18-20
On a conjecture of Thompson
p. 21-24
On a vortex in a jet flowing along a wall with an angle
p. 25-29
On the influence of viscosity on the stability of a tangential discontinuity in an incompressible fluid
p. 29-32
Initiation of detonation in a hydrogen-air mixture by an explosive charge surrounded by an inert gas layer
p. 32-34
Instability of capillary waves in free thin films
p. 35-39
Exact solution of source type in a model with a central attracting body in Newtonian and relativistic gas dynamics
p. 39-41
A model of a homogeneous lung model including effects of stiffness losses of airways
p. 42-45
Kinetics and mechanics of cell secreting matrix
p. 45-49
Influence of surface kinetics on mechanism of crystal growth
p. 50-53
Effective moduli of thin-walled constructions
p. 53-56
Affine symmetry of continuous media
p. 56-59
On a model of electrostrictive elastic polymeric materials
p. 59-62
Analysis of configuration errors for a canonical gravity gradiometer
p. 62-65
On an extremal problem for polynomials in a multi-dimensional case
p. 66-68
Polynomial approximation with Chebyshev--Hermite weight on the real axis
p. 68-71
On values of irreducible characters of finite simple groups
p. 72-75