Results 1 to 10 of about 5,281 (135)
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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Multi-variable translation equation which arises from homothety [PDF]
, 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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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
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On Some Problem for a Simplex and a Cube in Rⁿ
Моделирование 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
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New Estimates of Numerical Values Related to a Simplex
Моделирование и анализ информационных систем, 2017 Let \(n\in {\mathbb N}\) and \(Q_n=[0,1]^n\). For a nondegenerate simplex \(S\subset {\mathbb R}^n\), by \(\sigma S\) we denote the homothetic copy of~\(S\) with center of homothety in the center of gravity of \(S\) and ratio of~homothety \(\sigma\). By
Mikhail V. Nevskii, Alexey Yu. Ukhalov
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Brodogradnja, 2023 In this paper, exact hydrostatic particulars equations for the centre of buoyancy curve and metacentric locus curve are given for rectangular cross section using quadratic functions. Those equations have not been given for the hyperbola range of the heel
Dario Ban
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Bilinear Forms on Frobenius Algebras [PDF]
, 2014 We analyze the homothety types of associative bilinear forms that can occur on a Hopf algebra or on a local Frobenius \(k\)-algebra \(R\) with residue field \(k\).
Murray, Will
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