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• About fields of geometrical objects connected with the complex central nondegenerate hyperquadrics

  A field of some geometrical objects internally connected with a complex (n-parametrical family) of the central nondegenerate hyperquadrics in n-dimensional affine space are defined and their geometrical sense is found out. 1. Кретов М. В. Дифференцируемые ...

• Fields of fundamental and captured geometrical objects of the 2nd or-der H-distribution of affine space

  ... 6807-В87Деп., 1986. 6. Норден А. П. Пространства аффинной связности. М., 1976. Popov Ju. subbundle, normalization, normal, tensor, quasitensor, distribution, coincidence, Bompiani–Pantazi bijection, envelopment of geometrical object 18-24

• 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 ...

• About geometrical objects fields of the -framed hypersurface of the projective space

  ... an affine connection over a manifold; second-order components. Differential comparisons for the components of the object of curvature of the second- order fundamental-group connection are made. These comparisons show that the curvature object forms a geometric object only in combination with components of the second-order connectivity object. In the general case, the object of curvature of the fundamental group connection of the second order does not form a tensor. 1. Лаптев Г. Ф. Структурные ...

• Representation of projective connections on the SH -distribution of the projective space

  .... 7. Столяров А. В. Двойственная теория оснащенных многообразий. Чебоксары, 1992. Popov Ju. distribution, projective connection, subbundle, torsion-curvature tensor, projective connection object, geometrical object, geometrical object coverage 5-15

• Normal connections of the L-subbundle of a strongly mutual distribution of the projective space

  ... материалам XXVII международной конференции. Новосибирск, 2015. № 2(26). С. 33—47. Popov Ju., Volkova S. distribution, projective connection, subbundle, torsion-curvature tensor, projective connection object, geometrical object, geometrical object coverage 5-17

• J. N. Tetens’s ‘transcendental philosophy’ as a basic science¬ and criti¬cal propaedeutics to metaphysics

  ... J. N. Tetens sets out to justify the possibility and necessity of metaphysics as a general speculative science. His primary objective is to defend metaphysics against the opponents, the most serious of which, in Tetens’s opinion, is D. Hume. In this ... ... criticism of systemic knowledge in general and metaphysics in particular. In the argument between the advocates of the Leibniz-Wolff geometric philosophy and their opponents — enlighteners-eclecticists and pietists, Tetens manages to take a neutral position ...

• Differential comparisons for the components of the curvature object of affine connection of the second order

  Differential comparisons for the components of the curvature object of affine connection of the second order are received. These comparisons show that, in the general case, the second-order curvature object forms a geometric object only in conjunction with the first-order curvature object and the second-order connectivity object. 1. Лаптев Г. Ф. Основные инфинитезимальные структуры высших порядков на гладком ...

• 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 to an irregular geometric shape of the organ, which can not be approximated to an ellipse or any other 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 ...

• The curvature object of the fundamental-group connection of the second-order

  ... распределений проективного пространства. СПб., 1992. 7. Mihailescu T. Geometrie differentiala projectiva. Bucaresti Acad. RPR, 1958. Ryazanov N. normalization, quasitensor, subbundle, Bompiani–Pantazi bijection, geometrical object coverage, hypersurface 10-15

• A Grouped Hyperplane Distribution of an Affine Space

  ... Тр. Геом. семинара. ВИНИТИ АН СССР. М., 1971. Т. 3. С. 49—94. 9. Чакмазян А. В. Нормальная связность в геометрии подмногообразий. Ереван, 1990. Popov Yu. I. geometric object, distribution, subbundle, normalization, normal affine connection, tangent affine connection, Bompiani–Pantazi correspondence 5-17

• Bundles of Projective Normals of the Hyperband Distribution of an Affine Space

  ... 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 69-75

• A transcendental analysis of mathematics: The constructive nature of mathematics

  ... of schematism, Kant develops an original theory of abstraction: Kant’s schemes serve as a means to construct mathematical objects, as an “action of pure thought" [CPR, B 81]. A ‘constructive’ understanding of mathematical acts going back ... ... (Wittgenstein; cf. mathematical structuralism). In his theory, Kant distinguishes between two types of constructing — ostensive (geometric) and symbolic (algebraic). The paper analyses these types and shows that modern mathematical structures are a combination ...

• Auto­matic System for Determining the Angles of Scoliotic Deformity of the Human Spine

  ... the scoliosis angle, based on the use of ar­tificial convolutional neural networks and subsequent algorithmic processing. The objective of the developed program is to measure the angles of scoliotic de­formation of the spinal column. 1. Trobisch P.... .... P. 231—243. 23. Yookwan W., Chinnasarn K., Jantarakongkul B. Region of Interest of Human Lumbar Spine Segmentation Using Geometric Triangular Analysis // IWAIT 2018. doi: 10.1109/IWAIT.2018.8369775. 24. Whitehead W., Moran S., Gaonkar B. et al. L....