Results 31 to 40 of about 5,426 (162)

Circular aperture interferometric apodization using homothety - I. Simulation results [PDF]

open access: bronzeMonthly Notices of the Royal Astronomical Society, 2010
A. Habib   +4 more
openalex   +2 more sources

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

New Estimates of Numerical Values Related to a Simplex

open access: yesМоделирование 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
doaj   +1 more source

Re-examination of centre of buoyancy curve and its evolute for rectangular cross section, Part 2: Using quadratic functions

open access: yesBrodogradnja, 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
doaj   +1 more source

Bilinear Forms on Frobenius Algebras [PDF]

open access: yes, 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
core   +1 more source

On n-Dimensional Simplices Satisfying Inclusions S ⊂ [0, 1]n ⊂ nS

open access: yesМоделирование и анализ информационных систем, 2017
Let  \(n\in{\mathbb N}\),  \(Q_n=[0,1]^n.\) For a nondegenerate simplex  \(S\subset {\mathbb R}^n\), by  \(\sigma S\) we denote the homothetic image of  \(S\) with the center of homothety in the center of gravity of  \(S\) and ratio of homothety ...
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj   +1 more source

On a geometric approach to the estimation of interpolation projectors

open access: yesМоделирование и анализ информационных систем, 2023
Suppose $\Omega$ is a closed bounded subset of ${\mathbb R}^n,$ $S$ is an $n$-dimensional non-degenerate simplex, $\xi(\Omega;S):=$ min {$\sigma\geqslant 1: \Omega\subset \sigma S$}.
Mikhail V. Nevskii, Alexey Y. Ukhalov
doaj   +1 more source

On Some Problems for a Simplex and a Ball in Rn

open access: yesМоделирование и анализ информационных систем, 2018
Let \(C\) be a convex body and let \(S\) be a nondegenerate simplex in \({\mathbb R}^n\). Denote by \(\tau S\) the image of \(S\) under homothety with a center of homothety in the center of gravity of \(S\) and the ratio \(\tau\). We mean by \(\xi(C;S)\)
Mikhail V. Nevskii
doaj   +1 more source

All Pinched Hysteresis Loops Generated by (α, β) Elements: in What Coordinates They May be Observable

open access: yesIEEE Access, 2020
Two existing theorems for studying pinched hysteresis loops generated by nonlinear higher-order elements from Chua's table are reformulated, namely the generalized homothety theorem and the associated Loop Location Rule, specifying the coordinates where ...
Zdenek Biolek   +3 more
doaj   +1 more source

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