
Giving the 1st order affine connection by means of the 2nd order vectorvalued forms
... 1st order tangent space to a manifold. It is shown that affine connection in bundle of tangent linear frames defines linear operator from 1st order cotangent space (space of forms of degree 1) in cotangent space of 2nd order. It is proved that affine connection in bundle of tangent linear frames defines horizontal linear operator (2nd order horizontal horizontalvalued form of 1st order affine connection) in 2nd order tangent bundle. It is shown that the second usual differential of a point of a manifold it is possible to present ...

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 its curvature and torsion tensors. Semicanonical case is investigated when subtensor of the connection tensor vanishes. Two notions are
involved: nondegeneration tensor of torsion and semiholonomical distribution. It is ...

About generalizations of the Cartan projective connection on smooth manifold
The Laptev projective structure of the 1st order presented a fibering of special linear coframes with multidimensional gluing is considered. The Laptev linear connection by means of the object containing a tensor is set in this fibering. If the tensor vanishes we have preprojective connection from which canonical connection is marked out. The Cartan projective connection and its canonical version are obtained ...

Assessment of hepatic volume ex vivo by the formulas of the ultrasound volumetry
The article focuses on determination of the liver volume which is an urgent task for clinical medicine. It is directly connected to the need for an objective quantitative assessment of organ size. The complexity of calculating the volume is due ... ... geometric figure. The aim of the study is to ex vivo evaluate the possibilities of measuring the volume of the liver based on the linear dimensions of the organ according to the formulas proposed for ultrasonic volumetry. The study was carried out on 70 corpses ...

The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
... Междун. конф. по алгебре, анализу и геометрии. Казань, 2016. С. 67—68.
Shevchenko Yu.
Akivis derivation formulas, Laptev structure equations, secondorder vectors, semiholonomic smooth manifold, bundle or linear coframes, affine connection
513

Formal Languages and Automata V: Conway SemiringSemimodule Pairs and Finite Automata
... some of their important properties. Then we introduce nite automata over quemirings and prove a Kleene Theorem. Furthermore, we introduce linear systems over quemirings as a generalization of regular grammars with nite and innite derivations, and connect certain solutions of these linear systems with the behavior of nite automata over quemirings.
5. Bloom St. L., Esik Z. Iteration theories. EATCS Monographs on Theoretical Computer Science. Springer, 1993.
6. Buechi J. R. On a decision method in restricted second order arithmetic ...

Fundamentalgroup connections, induced by composite clothing of family of centered planes in projective space
... clothing of such a family induces threeparameter bunch of bundles of fundamentalgroup connections. One induced connection is allocated from each of this bundles. Coincidence conditions of the received connections and geometrical interpretation of the linear sub connections is given.
1. Белова О. О. Геометрическая характеристика индуцированных связностей грассманоподобного многообразия центрированных плоскостей ...

Hierarchies of smooth manifolds up to zeroth and first orders
... of zero order consists of the parallelized manifold, Lie group and Abelian group of Lie. Each of three sequences of the 1st order for the holonomic, semiholonomic and the non holonomic smooth manifolds includes base of the parallelized bundle of linear coframes, in other words, base of space of expanded affine connection, base of space of affine connection torsionfree and affine space.
1. Лаптев Г. Ф. Основные инфинитезимальные структуры высших порядков на гладком многообразии ...

Eliseeva N. A., Popov Y. I.
... исследований Германа 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
517

Connection in a tangent bundle to the frame bundle of manifold
This paper focuses on the tangent bundle to the linear frame bundle of a smooth manifold. Brackets of the tangent vectors of this bundle are constructed. A coordinate representation ... ... vectors is produced. Horizontal and vertical curvatures, torsions, and covariant derivatives are constructed in a homogeneous connection.
Бишоп Р., Криттенден Р. Геометрия многообразий. М., 1967.
2. Кобаяси ...

Analysis methodology for the relationship between the water flow and river levels by determining the dependence
The article contains all the available data on average monthly discharges and water levels for the rivers under study, that provided the background for the hydrological series of these characteristics which are found to be in a close stochastic connection. Linear regression equations connect the average monthly discharges and water levels in the rivers under study. They also provide for the graphs of the relationship between the considered values, and the boundaries of their confidence intervals were ...

Mediumterm models of SMEs development in modern Russia
.... The authors offer an algorithm of the identification of development tendencies for small and mediumsized businesses using linear equations. The mediumterm econometric model of economic forecasting is based on the application of a set of dominating ... ... Федеральная служба государственной статистики. 2015. URL:
http://www.gks.ru/wps/wcm/connect/rosstat_main/rosstat/ru/statistics/publications/catalog/doc_113984...
(дата обращения: 17.04.2017).
5. Якушев ...

Application of the mathematical modelling and simulation methods to the study of didactic systems
... various approaches to the construction of mathematical and computer models of the student. The following models are discussed: linear and nonlinear learning models; multicomponent model; models of assimilation and forgetting logically related and unrelated ... ... 198—212. doi: 10.13187/ejced.2015.13.198.
16. Mayer R. V. Imitating model of assimilation and forgetting of the logically connected information // International Journal of Advanced Studies. 2017. Vol. 7, № 2. Р. 64—73.
17. The Oxford Handbook ...

Rhythm and Metaphor in the Art of the Icon
... scheme steering artists’ creative ideas. Creating visual metaphors required the development of rhythmic symmetry, based on linear repetitions and figurative semblances of elements. This principle of iconography is clearly seen in Russian icon painting.... ... N. Lazarev, O. I. Podobedova and G. V. Popov, eds. Drevnerusskoe iskusstvo. Zarubezhnye svyazi [Ancient russian art. Foreign connections]. Moscow. pp. 398—404.
13. Sokolov, B. G., 2001. Rithm and sense. In: D. U. Orlov, K. S. Pigrov and A. K. Sekatskiy,...

‘The Word, an Ulcer…’: Aleksey Chicherin’s semiotic utopia
... concept of art created by the constructivist poet Aleksey Chicherin, as presented in his treatise KanFun. We establish the connection between Chicherin’s concept of the ‘sign of Poetry’, on the one hand, and the theoretical research of the early ... ... description of the language, on the other. An analysis of Chicherin's theory shows that it rests on an attempt to overcome the linearity of linguistic signs and to build an iconic ‘sign of Poetry’, capable of almost a complete reflection of a constructivist ...