Results 1 to 10 of about 243,858 (165)
Generalized Legendre Transforms Have Roots in Information Geometry [PDF]
EntropyArtstein-Avidan and Milman [Annals of mathematics (2009), (169):661–674] characterized invertible reverse-ordering transforms in the space of lower, semi-continuous, extended, real-valued convex functions as affine deformations of the ordinary Legendre ...
Frank Nielsen
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Affine transformations of the tangent bundle of a common path space
Дифференциальная геометрия многообразий фигур, 2023 In this paper, we study infinitesimal transformations of the tangent bundle of a common path space. The general path space is a generalization space of the affine connectivity.
N. D. Nikitin, O. G. Nikitina
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Ruang Fase Tereduksi Grup Lie Aff (1)
Jambura Journal of Mathematics, 2021 ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
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Affine Spaces within Projective Spaces [PDF]
Results in Mathematics, 1999 We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or
Blunck, Andrea, Havlicek, Hans
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Generalized Affine Connections Associated with the Space of Centered Planes
Mathematics, 2021 Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings.
Olga Belova
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Categorical and K-theoretic Donaldson–Thomas theory of $\mathbb {C}^3$ (part II)
Forum of Mathematics, Sigma, 2023 Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT categories for Hilbert schemes of points in the three-dimensional affine space and in the categorical Hall algebra of the two-dimensional affine space. In this paper, we prove
Tudor Pădurariu, Yukinobu Toda
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Differential geometry of nonholonomic complexes NGr(1, n, 2n − 4) in n-dimensional affine space
Lietuvos Matematikos Rinkinys, 2023 In this article the differential geometry of the nonholonomic complex NGr(1, n, 2n − 4) in the n-dimensional affine space is studied. The classification of such complexes and geometric interpretations are given.
Kazimieras Navickis
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Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
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On Smarandache Curves in Affine 3-Space
Journal of New Theory, 2022 In this paper, we introduce Smarandache curves of an affine $C^∞$-curve in affine 3-space. Besides, we present the relationship between the Frenet frames of the curve couple and the Frenet apparatus of each obtained curve.
Ayşegül Emir +3 more
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Measurement Science Review, 2020 An active-vision process is presented by the affine invariability of the ratio of triangle areas to reconstruct the 3D object. Firstly, a plate with the triangle array is designed in the same plane of the planar laser. The image of the plate is rectified
Xu Guan, Shen Hui, Li Xiaotao
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