Geodesic

Sommaire du Fascicule no. 1

Proceedings of Seminar of the Geometry Department. I

Summary of the activities of the Geometry Dept. Seminar (1958 – January 1965)
p. 3-6
Symmetric spaces and conjugate connections
p. 7-59
A generalization of the spaces of Shirokov-Rashevskii
p. 60-73
A biaxial invariant of a ruled surface
p. 74-78
A class of plane vector fields
p. 79-87
On the Lagrange equation
p. 88-99
Infinitesimal motions of a four-dimensional pseudoEuclidean space of zero-signature
p. 100-107
The general case of inertial motion of the rod in Lobachevskii space
p. 108-120
The minimal $X_4$ of the spaces $B_6$ admitting a mapping onto developable $X_2$ of a complex $A_3$
p. 121-129
Application of the method of normalization to the theory of pairs of congruences
p. 130-140
Invariant manifolds of a bilinearly metric space
p. 141-160
On the question of introduction of a connection in generalized Riemannian spaces
p. 161-164
On the theory of spaces definable by commutative algebras
p. 165-182
On the theory of circular Lie transformations
p. 183-193
Pseudo-linear integral of geodesics in the Weyl geometry
p. 194-200

Sommaire du Fascicule no. 2

Functional analysis and theory of functions. 3

On the problem of convex Chebyshev approximation in normed space
p. 3-6
Quadrature formulas for singular integrals and some of their applications
p. 7-17
A note on the general theory of approximate methods in analysis
p. 18-31
Two criteria for the compactness of sets in Banach spaces of functions
p. 32-39
A form of convergence of sequences of measurable functions
p. 40-47
Linear operators in abstract coordinate spaces
p. 48-60
Certain properties of Köthe–Toeplitz sequence spaces
p. 61-70
Some theorems on abstract coordinate spaces
p. 71-78
Banach spaces of functions and linear integral operators
p. 79-94
The variational method for nonlinear operator equations
p. 95-101
A certain problem on triangle inequalities for random normed spaces
p. 102-113
Convergence of the method of straight lines in the solution of boundary value problems for the equation
p. 114-122
An application of Academician S. A. Chaplygin's method to the approximate solution of partial differential equations of biharmonic type
p. 123-132
Bases, in the space of continuous functions, constructed from arcs of parabolas
p. 133-142
Lebesgue constants of bases in the space of continuous functions
p. 143-148

Sommaire du Fascicule no. 6

Probabilistic methods and cybernetics. IV

Testing of statistical hypotheses on the type of distribution by small samples
p. 3-23
Automaton conversion of probability sequences
p. 24-33
The class of mappings of $P_2^n$ into itself which are realizable by formulas
p. 34-44
On simulation of training schemes related to the process of creativity
p. 45-48
Estimation of the complexity of formulas for monotone functions of the algebra of logic in the class of disjunctive normal forms (d.n.f.)
p. 49-57
A new approach to decode of Reed–Müller codes
p. 58-66
A certain sufficient condition for the existence and uniqueness of a solution of the basic functional equation of dynamic programming
p. 67-68
Numerical method of dynamic programming of a problem of optimal reservation
p. 69-71
Some statements of a problem of rational cutting of industrial materials
p. 72-73
Some statistics on the syllables of Tatar language
p. 74-78
A trick of reduction of dispersion in the Monte Carlo method
p. 79-81
The Monte Carlo method for a boundary-value problem of elliptic type
p. 82-84
Cubature formulas based on the ergodic theorem
p. 85-89
The triangle inequalities for random metric spaces
p. 90-93
Generalization of some theorems of probability theory to the case of complex distributions
p. 94-100
Representation of the solution of a certain class of nonlinear operator equations
p. 101-105
Explicit extrapolation formulas for some probability processes
p. 106-109
Two corrections to the article: “Certain equivalences in the theory of probabilistic automata”

Sommaire du Fascicule no. 8

Problems of underground hydromechanics. 4

Одновременная фильтрация двух жидкостей в нефтяном пласте
p. 3-36
О зависимости подвижной (и неподвижной) части жидкости от степени и характера насыщения среды данной фазой при фильтрации двухфазной смеси
p. 37-41
Решение некоторых задач фильтрации методом сеток
p. 42-60
О приближенном методе вычисления давления в нефтяном пласте
p. 61-72
К вопросу о движении нефтяной линзы
p. 73-75
Расчеты совместной эксплуатации двух нефтяных пластов
p. 76-79
Дебиты двух рядов скважин при нормальном законе распределения гидропроводности
p. 80-87
Экспериментальное исследование фильтрационного потока разноцветных жидкостей в модели кусочно-неоднородного пласта
p. 88-91
Определение ВНК на моделях нефтяного пласта статистическим методом
p. 92-98
Определение нефтенасыщенности в прозрачных моделях фотометрическим методом
p. 99-101
Определение положения ВНК по процентному содержанию воды в дебите в условиях модели
p. 102-104
Решение некоторых задач напорной фильтрации на интеграторе ЭГДА с электронной приставкой
p. 105-109