Results 11 to 20 of about 535 (181)
Set Membership Parameter Estimation and Design of Experiments Using Homothety [PDF]
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2011 In this note we address the problems of obtaining guaranteed and as good as possible estimates of system parameters for linear discrete–time systems subject to bounded disturbances.
Rolf Findeisen, S V Rakovic
exaly +2 more sources
Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces
Journal of Modern Dynamics, 2020 A homothety surface can be assembled from polygons by identi-fying their edges in pairs via homotheties, which are compositions of transla-tion and scaling. We consider linear trajectories on a 1-parameter family of genus-2 homothety surfaces.
Sanderson, Slade, Bowman, Joshua P.
exaly +2 more sources
Every nonlinear element from Chua's table can generate pinched hysteresis loops: generalised homothety theorem [PDF]
Electronics 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
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Some Properties of the χ-Curvature under Conformal Transformation
Mathematics, 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 +2 more sources
Homothety groups in space-time
General Relativity and Gravitation, 1990 The authors investigate Lorentzian space-times which admit an r- dimensional Lie algebra of homothetic vector fields at least one of which is proper homothetic (i.e., it is not a Killing vector field). A complete description of the situation is obtained if \(r\geq 6\) and some results are given for \(r\leq 5\).
Hall, G. S., Steele, J. D.
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Design and implementation of a task sequence for teaching homothety
Eurasia Journal of Mathematics, Science and Technology EducationThe teaching of geometry in Chile faces several challenges, as evidenced by the low performance of students in international assessments. In particular, the concept of homothety is impacted by teaching methodologies that emphasize rote memorization and procedural repetition rather than conceptual understanding.
Yenifer Aguilera Moraga +2 more
exaly +2 more sources
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 .
Ludvik Janos
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Homotheties and incidences [PDF]
Discrete 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
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On the homothety conjecture [PDF]
Indiana University Mathematics Journal, 2011 Let $K$ be a convex body in $\bbR^n$ and $\d>0$. The homothety conjecture asks: Does $K_{\d}=c K$ imply that $K$ is an ellipsoid? Here $K_{\d}$ is the (convex) floating body and $c$ is a constant depending on $\d$ only. In this paper we prove that the homothety conjecture holds true in the class of the convex bodies $B^n_p$, $1\leq p\leq \infty ...
Werner, Elisabeth M., Ye, Deping
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Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type [PDF]
, 2021 We study the dynamics of Topologically Anosov homeomorphisms of non compact surfaces. In the case of surfaces of genus zero and finite type, we classify them.
Cousillas, Gonzalo +2 more
core +2 more sources