SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This paper studies how classes of topological spaces can be characterized as images of metric spaces under mappings with prescribed separation and quotient properties. It introduces quasi-refining and weakly refining sequences of covers and proves representation theorems: spaces with quasi-refining …
This paper extends Sinai’s construction of invariant measures for two-dimensional toral Y-diffeomorphisms to Y-flows on compact three-dimensional manifolds with everywhere dense contracting and expanding foliations. It first establishes the existence of arbitrarily fine Markov partitions by regular …
This note extends a cohomology construction for associative commutative unital algebras over a commutative unital ring by using the prime spectrum with the Zariski topology. For a subset of the spectrum, it defines subcomplexes of tensor powers consisting of elements that vanish near the subset, for…
This note studies lower and upper bounds for the complexity of normal algorithms associated with recognizing applicability on bounded words, deciding finite predicates, and computing or minimizing Boolean functions. Using the length of an algorithm representation as the complexity measure, it formul…
The paper studies classes of transfinite index functions on the space J to the power omega_nu and formulates comparison principles determining when sets defined by relations between indices belong to specified Borel-type or projective classes. Using Lyapunov’s lemma on regular index classes, it deri…
This paper develops a statistical method for determining kinetic coefficients from the time dependence of fluctuations in a steady state, where ordinary macroscopic diffusion has already reached a uniform distribution. Generalizing Smoluchowski’s treatment of Brownian motion, it relates the mean squ…
The paper studies non-self-adjoint operator functions in a Hilbert space that depend rationally on a spectral parameter, with emphasis on resolvent growth and completeness of eigen and associated elements. It establishes sufficient conditions, formulated through approximation numbers and local princ…
This paper studies singular integral equations on a Lyapunov contour in the space Lp with bounded measurable coefficients, using the projectors associated with the Cauchy singular operator. It proves a perturbation theorem for operators of the form aP plus Q, giving Fredholm stability under multipli…
The paper studies a class of nonlinear stochastic programming problems, including nonconvex cases, in which a measurable decision function is constrained by probabilities of membership in random sets and by an expected linear operator inequality. For the case of two probabilistic constraints, the au…
This paper studies the structure of nonlinear tensor functions in Minkowski space through their symmetry groups. It argues that once the symmetry group of a tensor function is known, the function can be represented as a linear combination of invariant basis tensors, with scalar coefficients dependin…
This paper examines interband optical absorption in disordered systems whose charge carriers move independently in a static, slowly varying random field, with possible relevance to strongly alloyed, amorphous, liquid, or glassy semiconductors. Using a quasiclassical expansion of one-particle Green f…
This paper develops a unified waveguide theory for multibeam spectrum analyzers, including prisms, diffraction gratings, Michelson echelons, Lummer Gehrcke plates, and Fabry Perot etalons. Treating these instruments as equivalent series or parallel waveguide radiating systems, it derives general exp…
This paper describes the development and use of a pulsed ruby optical quantum generator as a light source for shadowgraph and Mach-Zehnder interferometric instruments in high-speed studies of unsteady gas-dynamic processes in shock tubes. The authors present optical coupling schemes for interferomet…
The study investigates the distribution of radio brightness across the disk of Venus at a wavelength of 8 mm, focusing on limb darkening as a diagnostic of atmospheric absorption mechanisms. Observations made with the large Pulkovo radio telescope in September 1967 were processed using antenna smoot…
The paper studies a multidimensional multifront Stefan problem for parabolic heat equations with several moving internal and external phase fronts, formulated in two spatial variables with extension to higher dimensions indicated. It defines a regular classical solution and reduces the free boundary…
This paper critiques the routine use of Bouguer anomalies as the principal representation of gravity data, especially over oceanic regions. The authors review the original geodetic purpose of the Bouguer correction, argue that applying an equivalent “filling” correction at sea introduces an artifici…
This paper studies semiformal completions of constructive arithmetic, motivated by Gödel incompleteness for recursively axiomatized extensions of intuitionistic arithmetic. It compares two completion procedures: Feferman-style transfinite progressions obtained by iterating reflection principles over…
The paper reformulates the axiomatic theory of a Hermitian scalar quantum field in terms of operator Jacobi matrices associated with an orthogonal decomposition of the Hilbert space generated from the vacuum. It shows how the field operators split into creation, diagonal, and annihilation parts, and…
This note studies how diffusion processes obtained by small random perturbations of a dynamical system with a stable equilibrium leave a bounded domain whose deterministic trajectories are attracted to the equilibrium. Using a variational functional and the associated quasipotential, it establishes …
The paper addresses computation of optimal controls for discrete systems in cases where the direct discrete analogue of Pontryagin’s maximum principle may fail. It proposes replacing the original problem by auxiliary convexified problems whose solutions satisfy maximum conditions, then constructing …
The paper studies independence for subsemigroups of a semigroup as an analogue of free decomposition in group theory, emphasizing that the semigroup notions obtained from group-theoretic analogies are not equivalent. It introduces unit-ideal subsemigroups, records their elementary closure properties…
The paper studies projective transformations of complete analytic Riemannian spaces of dimension at least three, comparing the connected identity components of the projective and affine transformation groups. Using local normal forms for metrics admitting a non-affine projective one-parameter group,…
This paper derives boundary growth estimates for solutions and derivatives of homogeneous elliptic boundary value problems for properly elliptic operators with covering boundary operators. Using previously established derivative estimates for Green functions, the author represents solutions by princ…
This paper examines how quantum effects in thermal fluctuations may influence the temperature dependence of the lifetime of solids under tensile stress, especially at temperatures comparable with the Debye temperature. Using a simplified polymer model in which fracture is governed by longitudinal st…
This paper develops a computational procedure for determining reflection and transmission matrices of electromagnetic waves incident on a finite spherically layered anisotropic medium, with application to ionospheric propagation. The method extends prior impedance-matrix recalculation by deriving fo…
This paper examines the possible natural occurrence of long-lived superheavy transuranium elements in light of theoretical predictions of stability islands and reported cosmic-ray track observations. It estimates potential terrestrial abundances under two formation models, primordial nucleosynthesis…
This paper studies plane homeomorphisms whose quasiconformal characteristic is unbounded but satisfies an exponential integral bound. It defines a class of mappings with Tonelli absolute continuity properties for the map and its inverse, proves an area integral estimate leading to equicontinuity, an…
The paper studies when unbounded operators in bosonic Fock space can be represented in normal form as series in creation and annihilation operators. It develops domain-sensitive definitions for parts of operators, tensor and symmetric products of unbounded operators, and coefficient matrices control…
The paper studies optimal control problems for systems with parameters governed by integro-differential equations not solved with respect to the derivative, including neutral type delay equations. It formulates adjoint equations and derives necessary optimality conditions for controls and finite-dim…
This paper reports a search for long-lived distant transuranium elements in ferromanganese nodules from the southern Pacific Ocean, motivated by theoretical predictions of stable superheavy nuclei and earlier ambiguous observations of unexplained alpha activity and fission effects. The authors exami…
The paper studies the expansion of functions in approximately orthonormal systems, a situation arising in numerical orthonormalization when rounding and integration errors perturb the Gram matrix. It compares the usual Fourier coefficient method with a recursive coefficient construction in which eac…
The paper develops a prognostic formulation for mesoscale atmospheric disturbances superposed on a large-scale rectilinear background flow, with attention to the interaction between the boundary layer and the free atmosphere. Starting from a simplified system for momentum, continuity, thermodynamic,…
This article examines the role of Tomsk Technological Institute in the economic, scientific, and cultural development of Siberia from its opening in 1900 to the 1917 revolution. It argues that the institute was founded in response to the needs created by capitalist expansion and the Siberian Railway…
This paper argues that the accelerating growth of scientific and technical knowledge requires a more dynamic and scientifically managed educational process, especially in higher education. Using cybernetic concepts, it models learning as a self-organizing information system involving perception, pro…
The article argues that Soviet higher educational institutions should be evaluated and managed partly through cost accounting principles rather than treated only as budget-consuming organizations. Using Tomsk Polytechnic Institute as an example, it shows that universities produce measurable economic…
This paper examines certification of scientific personnel as a tool for assessing and developing the scientific potential of a university, using Tomsk Polytechnic Institute as its main case. It argues that, as growth in the number of scientific workers becomes less feasible, universities should emph…
This article examines the growth and distribution of scientific and engineering personnel in the United States during the postwar period, using statistics and assessments attributed chiefly to the National Science Foundation and other contemporary sources. It argues that expanding research expenditu…
This article examines women’s participation in scientific and scientific-pedagogical labor in the USSR, with particular attention to Tomsk Oblast in the 1960s. Using statistical materials on employment, higher education, academic degrees, institutions, and local social infrastructure, it compares wo…
This article examines shortcomings in the Soviet system for distributing material incentive funds in sectoral research organizations, especially the weak connection between bonus funds, wage funds, and the economic results of scientific work. It argues that incentive funds should be formed and alloc…
This article examines the application of cost accounting to Soviet research institutes as science became a large and resource-intensive sphere of social labor. It argues against mechanically transferring industrial indicators, such as expenditure volume, cost, or price, to scientific work, since res…
This article examines how the distinctive character of creative scientific labor should be reflected in socialist distribution of the individual consumption fund. Using a Marxist economic framework, the authors argue that scientific work is often recognized formally as socially useful because its co…
This article examines how to define “new technology” for purposes of technical progress, production planning, and material incentives in Soviet industry. It argues that novelty cannot be understood as absolute scientific and technical originality, since technical creation builds on collective and pr…
The article argues that improving the planning of scientific work is a central means of increasing the productivity and practical impact of research. It presents science planning as objectively conditioned by production needs, the internal continuity of scientific development, and the growing scale …
This paper examines how the efficiency of science should be assessed when direct economic returns are delayed, indirect, or inapplicable to theoretical and human sciences. It distinguishes external criteria, based on practical and productive effects, from internal criteria, based on the cognitive ec…
This article examines science as an object of economic analysis and argues for the emerging field of the economics of science to study not only scientific labor, but also the production relations and proportions that structure scientific research. Drawing on Marxist concepts of universal labor and t…
The article examines the role of science in socialist reproduction, understood as the renewal of the social product, labor power, and socialist relations of production. Using a Marxist-Leninist framework, it argues that modern science increasingly functions as a direct productive force, shaping tech…
This paper develops an approximate theoretical description of the wind and pressure field of a tropical hurricane, treating it as a thermodynamic atmospheric heat engine guided by warm ocean currents. Using observed wind profiles, an axisymmetric cylindrical formulation of the Navier-Stokes equation…
The paper studies preservation problems for strong paracompactness and strong metrizability under continuous mappings, focusing on the role of open closed sets rather than on openness or quasi monotonicity alone. It introduces Lambda mappings, defined by preservation of open closed sets and a finite…
The paper studies structural and completeness properties of topological groups and their quotient spaces under weakened compactness assumptions. It proves that a topological group is a Lie group precisely when it is locally pseudocompact, locally connected, and finite-dimensional, extending the usua…
