Results 151 to 160 of about 1,040 (166)

Covering convex solids by greater homotheties

Mathematical Notes of the Academy of Sciences of the USSR, 1972
Let K be a convex solid of Euclidean space En, with bd K and int K being its boundary and interior. The paper solves the problem of the possibility of covering K by sets homothetic to int K, with the ratio of the homotheties being greater than unity and the centers being in En/int K, while, should such a covering exist, an estimate is provided of the ...
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Homothety Ratio of Airway Diameters Is Associated With Respiratory Morbidity and Mortality in Chronic Obstructive Pulmonary Disease

A17. TELL ME WHAT YOU SEE: NEW STUDIES IN LUNG IMAGING, 2023
S. Bodduluri, A. K. Kizhakke Puliyakote, Arie Nakhmani, S. Bhatt   +3 more
semanticscholar   +1 more source

Motions and homotheties in Finsler spaces and their generalizations

Journal of Soviet Mathematics, 1986
Translation from Itogi Nauki Tekh., Ser. Probl. Geom. 16, 81-126 (Russian) (1984; Zbl 0576.53021).
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Building homotheties through pinches

Linear and Multilinear Algebra, 2021
Logan Richard, Franziska Riepl, Leonel Robert, George Turcu, Lucas Walls   +4 more
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Homotheties and Spiral Similarities

2021
Răzvan Gelca, Ionuţ Onişor, Carlos Yuzo Shine   +2 more
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Classification of Minkowski planes by transitive groups of homotheties

Journal of Geometry, 1992
In 1989, the author with H.-J. Kroll published a classification of Minkowski planes based on the notions ``\(G\)-translations'' and ``\(q\)- translations''. In the present paper the author improves upon the classification by looking at transitive groups of homotheties. These results complete the classification by \textit{M.
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Topological Homotheties on Compact Metrizable Spaces

Canadian Journal of Mathematics, 1968
Notation and definitions.Definition 1. Let (X, ρ) be a metric space and ϕ: X → X a continuous self-mapping of X. We shall call ϕ and α-contraction on (X, ρ) if and only if α ϵ [0,1) and . We shall call ϕ an α-homothety on (X, ρ) if and only if α > 0 and .
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Plane transformations in a complex setting I: Homotheties-translations

International Journal of Mathematical Education in Science and Technology, 2006
A previous note described how complex numbers can be used for elementary analytic geometry in the plane, describing lines, circles and their intersections using complex Cartesian equations. In the present note, a description of elementary plane transformations, namely homotheties and translations, their group structure and their operations on lines ...
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An extended modified Cam-Clay yield surface for arbitrary meridional and deviatoric shapes retaining full convexity and double homothety

, 2017
A. Panteghini, R. Lagioia
semanticscholar   +1 more source

Characterizing addition of convex sets by polynomiality of volume and by the homothety operation

, 2015
V. Milman, L. Rotem
semanticscholar   +1 more source