Results 11 to 20 of about 1,040 (166)

On the Homothety Conjecture [PDF]

open access: yesIndiana University Mathematics Journal, 2009
Let K be a convex body in R n and > 0. The homothety conjecture asks: Does K = cK imply that K is an ellipsoid? Here K is the (convex) oating body and c is a constant depending on only.
E. Werner, Deping Ye
semanticscholar   +4 more sources

Children’s first handwriting productions show a rhythmic structure [PDF]

open access: yesScientific Reports, 2017
Although much research has been concerned with the development of kinematic aspects of handwriting, little is known about the development along with age of two principles that govern its rhythmic organization: Homothety and Isochrony.
Elena Pagliarini   +7 more
doaj   +2 more sources

On a class of topological conjugacy with a homothety

open access: yesZhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2020
We consider a class H(Rn) of orientation-preserving homeomorphisms of Euclidean space Rn such that for any homeomorphism h∈H(Rn) and for any point x∈Rn a condition limn→+∞hn(x)→O holds, were O is the origin.
E. Gurevich, A. A. Makarov
semanticscholar   +4 more sources

Every nonlinear element from Chua's table can generate pinched hysteresis loops: generalised homothety theorem

open access: yesElectronics Letters, 2016
The pinched hysteresis loops drawn in the voltage–current, voltage–charge, and flux–current characteristics belong to well-known fingerprints of the memory elements known as the memristor, memcapacitor, and meminductor.
Dalibor Biolek
exaly   +2 more sources

PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN ℝn

open access: yesBulletin of the Korean Mathematical Society, 2014
Gangsong Leng
exaly   +2 more sources

Homotheties and incidences [PDF]

open access: yesDiscrete Mathematics, 2018
We consider problems involving rich homotheties in a set S of n points in the plane (that is, homotheties that map many points of S to other points of S). By reducing these problems to incidence problems involving points and lines in R^3, we are able to obtain refined and new bounds for the number of rich homotheties, and for the number of distinct ...
Dror Aiger, Micha Sharir
openaire   +3 more sources

Set Membership Parameter Estimation and Design of Experiments Using Homothety

open access: yesIFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2011
Rolf Findeisen, S V Rakovic
exaly   +2 more sources

Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces [PDF]

open access: yesJournal of Modern Dynamics, 2018
A homothety surface can be assembled from polygons by identifying their edges in pairs via homotheties, which are compositions of translation and scaling. We consider linear trajectories on a 1-parameter family of genus-2 homothety surfaces.
Joshua P. Bowman, Slade Sanderson
semanticscholar   +1 more source

Some Properties of the χ-Curvature under Conformal Transformation

open access: yesMathematics, 2023
In this paper, we identify the sufficient and necessary conditions for conformally related Randers metrics to have the same χ-curvature. Further, if s0=0 holds, we conclude that the conformal transformation must be a homothety.
Xiaofeng Yan, Xiaoling Zhang, Lili Zhao
doaj   +1 more source

On Some Problem for a Simplex and a Cube in Rⁿ

open access: yesМоделирование и анализ информационных систем, 2013
Let S be a nondegenerate simplex in Rⁿ. Denote by α(S) the minimal σ > 0 such that the unit cube Qn:= [0, 1]ⁿ is contained in a translate of σS. In the case α(S) ≠ 1 the translate of α(S)S containing Qn is a homothetic copy of S with the homothety ...
M. V. Nevskii
doaj   +3 more sources

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