Strongly associated threefold distributions of projective space
Construction of a general theory of a special class (SH -distribution) of the regular threefold distributions (H -distribution) of the projective space Pn consisting of a basic distribution of the 1st kind of r-dimensional planes r are equipped with the distribution of the 1st kind of m-dimensional planes Mm (m r) and equip distribution ...
Strongly mutual threefold distributions of projective space
Construction of a general theory of a special class ( -distribution) of the regular threefold distributions ( -distribution ) of the projective space consisting of a basic distribution of the 1st kind of r-dimensional planes are equipped with the distribution of the 1st kind of m-dimensional planes and equip distribution 1st the first ...
Introduction to a theory of regular hyperband distribution of an affine space
Regular hyperband distribution of an affine space (H-distribution) is given and its existence theorem is proved. Conditions of holonomic H-distribution is determined and Bompiani—Pantazi bijection between the first kind normal and the second one for associated with H-distribution ...
The impact of environmental factors on the distribution of Macoma balthica (Linnaeus 1758) and Mytilus edulis (Linnaeus 1758) in the southeastern part of the Baltic Sea
This article offers the results of research on the influence of environmental factors on the distribution of two abundant bivalve species – Macoma balthica and Mytilus eduli – in the south-east of the Baltic Sea. First of all, the distribution of species was determined by the types of soils. The distribution of molluscs in deep-water sectors ...
Structural and Functional Characteristics of the Spatial Development of Rural and Urban Areas in the Northwestern Economic District
This article is dedicated to the problem of increasing spatial polarisation in the population distribution systems of the Leningrad, Novgorod, and Pskov regions. The author examines the impact of development and distribution of factors of production on demographic processes and trends in the transformation of the population distribution system....
A Grouped Hyperplane Distribution of an Affine Space
In this article, I determine the grouped hyperplane distribution of the affine space An (SH-distribution) and prove the relevant existence theorem. I perform internal normalizations of the main structural subbundles of the SH-distribution in first and second-order differential neighbourhoods. Normal and ...
Normal connections of the L-subbundle of a strongly mutual distribution of the projective space
The special class of the threefold distributions of the projective space Pn — VH -distribution — is considered. In each center X of VH -distribution the incidence relation of the elements of the -, M-, H-subbundle has an appearance X r Mm Hn1, where r m ...
Normalization of the basic structural subbundles of the H(, L)-distribution of affine space
The author pioneers to study a special class of the grouped hyperplane distributions — the H(, L)-distribution of affine space. He introduces Bompiani — Pantazi correspondences associated with the main structural subbundles of the H(, L)-distribution of affine space. Norden’s normalizations of the main structural ...
About fields of geometrical objects of the H -distribution of the affine space
A creation of geometric objects of the hyperband distribution (H -distribution) of affine space An in the differential 1–3rd orders neighborhoods is continued. As a result a number of new normalization in Norden's sense of the main structural subbundles of this H -distribution are constructed (are ...
Representation of projective connections on the SH -distribution of the projective space
Projective connections defined by projection and associated to subbundles , L, E of the strong dual threefold distribution (the SH -distribution) of the projective space are constructed. Coverages of torsion-curvature tensors components of the constructed projective connections , , of subbundles , L, E of the SH -distribution respectively are given....
Changes in the Population Distribution and Transport Network of Saint Petersburg
... deviational ellipsis and use the kernel density estimation. The street network centrality of Saint Petersburg was analyzed using the Multiple Centrality Assessment Model (MCA) and the Urban Network Analysis Tool for ArcGIS. The analysis of the population distribution in Saint Petersburg shows that each area of the city has seen their population grow over the last thirteen years. However, it is the population of suburban areas that increased the most. The core area of the city has the tendency of outward ...
Curvature of 2nd type induced on plane distribution
In many-dimensional projective space the plane distribution is considered. The curvature of group connection of 2-nd type, induced by composite clothing of plane distribution, is constructed. It is proved, that a immovability of Cartan’s plane and Bortolotti’s hyperplane in case of holonomic distribution ...
A semicanonical normal affine connection associated with the distribution
In manydimensional projective space distribution of planes is considered. The way of giving normal generalized affine connection associated with the distribution is proposed. It is shown that this connection is given by connection tensor and normal linear connection object. They define ...
The basic patterns of the distribution, migration and accumulation of radionuclides in the bottom sediment of the Baltic Sea
This paper focuses on the impact of certain factors on the contemporary distribution of natural (226Ra, 232Th, 40К) and anthropogenic (137Cs, 60Co) radionuclides in the sediments of the Baltic Sea. The results of the study suggest that the distribution of 137Cs is determined by the content of hydromica of silty-clay and ...
About the application of 5G technology in the automa-tion of power distribution networks
The paper considers the features of the application of 5G technology in the electric power complex — in automated systems of distribution networks, relay protection and monitoring systems. Special attention is paid to the analysis of the problems arising in this case in technical standards, network security issues, ensuring the necessary coverage areas. The prospects ...
Bundles of Projective Normals of the Hyperband Distribution of an Affine Space
... АН СССР. 1954. Т. 97. С. 716—776.
8. Лаптев Г. Ф. Гиперповерхности в пространстве проективной связности // Докл. АН СССР. 1958. Т. 121, № 1. С. 41—44.
Popov Y. I.
distribution, subbundle, bundle, quasitensor, internal normalization, projectivity Bompiani — Pantazi, geometrical object
Normalization of basic structural subbundle of distribution in second order differential neighborhood
Norden inner normalization fields of basic structural subbundle of hyperband distribution are constructed in second order differential neighborhood of affine space. It is showed that first order normal (L-virual affine normal, Blashke normal, Trenson normal) corresponding to each of subbundle belongs to the same sheaf in any center ...
Modern lines of research on rural population distribution systems
This article analyses contemporary lines of research on the rural population distribution systems and offers a review of the contemporary process in rural areas. The factors affecting the population distribution are identified by the authors.
И., Зубаревич Н.
Eliseeva N. A., Popov Y. I.
... Федоровича Лаптева // Тр. геом. семинара. М., 1973. Т. 4. С. 7—70.
On constructions in Н(Λ, L)-distribution geometry of affin space
tensor, quasitensor, subbundle, bundle, linear polar, Bompiani—Pantazi correspondence, distribution, normalization, affine connection, central affine connection
Creation of the Norden normalization of the L-, E-subbundles of the SH -distribution of the projective space
Norden 1st and 2nd kind inner normals of the L-, E-subbundle of a special class (SH -distribution) of the regular threefold distributions (H -distributions) of the projective space are constructed.
1. Попов Ю. И. Сильно взаимные трехсоставные распределения проективного пространства // Вестник ...
Fields of fundamental and captured geometrical objects of the 2nd or-der H-distribution of affine space
... Калининградский гос. ун-т. Деп. в ВИНИТИ, № 6807-В87Деп., 1986.
6. Норден А. П. Пространства аффинной связности. М., 1976.
subbundle, normalization, normal, tensor, quasitensor, distribution, coincidence, Bompiani–Pantazi bijection, envelopment of geometrical object
Invariant normalizations and É. Cartan equips of main structural subbundles of SH-distribution
... внешних форм Картана. М., 1948.
13. Cartan E. Les espaces a connexion projective // Тр. семинара по векторному и тензорному анализу МГУ. М., 1977. Вып. 4. С. 147—159.
distribution, tensor, kvazitensor, normalization
The distribution of hydrogen absorbed in the course of chromium plating in the base and surface layers of steel
This article analyses the hydrogen distribution profiles in the chromium plating and the steel base in the process of chromium electrodeposition in a standard bath, modified by organic compounds.
Ускорение и усовершенствование ...