Results 11 to 20 of about 5,426 (162)
Multi-variable translation equation which arises from homothety [PDF]
Aequationes mathematicae, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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A convex combinatorial property of compact sets in the plane and its roots in lattice theory [PDF]
Categories and General Algebraic Structures with Applications, 2019 K. Adaricheva and M. Bolat have recently proved that if $\,\mathcal U_0$ and $\,\mathcal U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $j\in \{0,1,2\}$ and $k\in\{0,1\}$ such that $\,\mathcal U_{1-k}$ is included in the ...
Gábor Czédli, Árpád Kurusa
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Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group [PDF]
Advances in Mathematical Physics, 2018 The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric ...
Daud Ahmad, Kashif Habib
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Children’s first handwriting productions show a rhythmic structure [PDF]
Scientific 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
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A Tablet App for Handwriting Skill Screening at the Preliteracy Stage: Instrument Validation Study
JMIR Serious Games, 2020 BackgroundDifficulties in handwriting, such as dysgraphia, impact several aspects of a child’s everyday life. Current methodologies for the detection of such difficulties in children have the following three main weaknesses: (1) they are prone to ...
Dui, Linda Greta +6 more
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Homotheties and Coverings by Convex Sets [PDF]
, 2023 It is shown that, for any function $g$ that is weakly increasing on compact convex sets and has the property that if $λ\ge 0$ and $K^\prime$ is a translate of $λK$ then $g(K^\prime) =λg(K)$, then for any covering $\bigcup_i X_i\supseteq X$ of a compact convex set $X$ by finitely many compact convex sets $X_i$, the inequality $g(X) \leq \sum_i g(X_i ...
Jim Lawrence
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Homotheties of Finsler manifolds∗ [PDF]
SUT Journal of Mathematics, 2010 We give a new and complete proof of the following theorem, discovered by Detlef Laugwitz: (forward) complete and connected finite dimensional Finsler manifolds admitting a proper homothety are Minkowski vector spaces. More precisely, we show that under these hypotheses the Finsler manifold is isometric to the tangent Minkowski vector space of the fixed
Rezső L. Lovas, József Szilasi
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Homothety Curvature Homogeneity [PDF]
, 2013 We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Van urov are genuine generalizations of the ordinary notion of $k$-curvature homogeneity. The homothety group plays an essential role in the analysis.
Eduardo García‐Río +2 more
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Topological homotheties on compact Hausdorff spaces [PDF]
Proceedings of the American Mathematical Society, 1969 It is the purpose of this note to extend this result to nonmetrizable compact Hausdorff spaces, replacing the role of metrics by generating families of pseudometrics. Let X be a completely regular space. A family aDE= {Pa f } of pseudometrics pa(x, y) on X will be called a generating family on X iff it generates the topology of X. (The system of sets B
Ludvík Janoš
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Abelian varieties without homotheties [PDF]
Mathematical Research Letters, 2007 A celebrated theorem of Bogomolov asserts that the $\ell$-adic Lie algebra attached to the Galois action on the Tate module of an abelian variety over a number field contains all homotheties. This is not the case in characteristic $p$: a "counterexample" is provided by an ordinary elliptic curve defined over a finite field. In this note we discuss (and
Yuri G. Zarhin
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