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Generalized rule of homothety of ideal memristors and their siblings

2015 European Conference on Circuit Theory and Design (ECCTD), 2015
The pinched hysteresis loop area increasing with the square of the frequency of driving harmonic signal on the assumption of constant charge delivered within the half-period belongs to the less known fingerprints of ideal memristor. The paper proves that this fingerprint holds not only for the harmonic excitation: the v-i characteristic of a memristor ...
Biolek Z   +5 more
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Singularities and homothety groups in spacetime

Classical and Quantum Gravity, 1988
Some inaccuracies in the article of \textit{C. B. Collins} and \textit{J. M. Lang} in ibid. 3, 1143-1150 (1986; Zbl 0604.53045)] are corrected and commented here leading to a more general version of the main result given there.
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Formalism for spacetimes with a homothety

Classical and Quantum Gravity, 2002
In this paper, the formalism developed by Fayos and Sopuerta for the study of spacetimes admitting a Killing vectors is generalized in three ways: the case of homothetic vector is covered, the tetrad is not assumed to be aligned with the (homothetic) bivector and the tetrad is not assumed to be normalized.
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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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Lumen areas and homothety factor influence airway resistance in COPD

Respiratory Physiology & Neurobiology, 2010
The remodelling process of COPD may affect both airway calibre and the homothety factor, which is a constant parameter describing the reduction of airway lumen (h(d): diameter of child/parent bronchus) that might be critical because its reduction would induce a frank increase in airway resistance.
Bokov, Plamen   +8 more
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All vacuum Bianchi I metrics with a homothety

Classical and Quantum Gravity, 1991
All vacuum metrics with a four-parameter homothety group containing a three-dimensional Abelian subgroup are found. These include the Kasner family of metrics, metrics related to the Kasner family by complex transformations (which include a family of vacuum metrics found by Lewis in 1932 and a metric found by Petrov in 1962 to be the only vacuum metric
C B G McIntosh, J D Steele
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Building homotheties through pinches

Linear and Multilinear Algebra, 2021
Logan Richard   +4 more
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Characterization of Bounded Sets in Terms of Asymptotic Cones and Homotheties

Mathematical Notes, 2020
The author presents characterizations of bounded sets in a Banach space \(X\), based on the asymptotic cone defined for a subset \(A\subset X\) as \(A_{\infty}=\{x\in X:\exists t_{n}>0\), \(t_{n}\rightarrow 0\), \(\exists x_{n}\in A\), \(\lim_{n\rightarrow \infty }t_{n}x_{n}=x\}\).
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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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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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