1. On characterization of transparency order for (n, m)-functionsYu Zhou, Yongzhuang Wei, Hailong Zhang, LuYang Li, Enes Pašalić, Wenling Wu, 2021, published scientific conference contribution Keywords: (n, m)-functions, transparency order, nonlinearity, cross-correlation
Published in RUP: 18.11.2021; Views: 960; Downloads: 21
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2. Allocating indivisible items with minimum dissatisfaction on preference graphsNina Chiarelli, Clément Jean Dallard, Andreas Darmann, Stefan Lendl, Martin Milanič, Peter Muršič, Nevena Pivač, Ulrich Pferschy, 2021, published scientific conference contribution Keywords: fair division, partial order, preference graph
Published in RUP: 29.10.2021; Views: 1370; Downloads: 22
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7. High order parametric polynomial approximation of quadrics in R [sup] dGašper Jaklič, Jernej Kozak, Marjetka Knez, Vito Vitrih, Emil Žagar, 2012, original scientific article Abstract: In this paper an approximation of implicitly defined quadrics in ▫${\mathbb R}^d$▫ by parametric polynomial hypersurfaces is considered. The construction of the approximants provides the polynomial hypersurface in a closed form, and it is based on the minimization of the error term arising from the implicit equation of a quadric. It is shown that this approach also minimizes the normal distance between the quadric and the polynomial hypersurface. Furthermore, the asymptotic analysis confirms that the distance decreases at least exponentially as the polynomial degree grows. Numerical experiments for spatial quadrics illustrate the obtained theoretical results.
Keywords: mathematics, quadric hypersurface, conic section, polynomial approximation, approximation order, normal distance
Published in RUP: 03.04.2017; Views: 2100; Downloads: 32
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8. Two-arc-transitive two-valent digraphs of certain ordersKatja Berčič, Primož Potočnik, 2016, original scientific article Abstract: The topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive group of automorphisms. We classify such digraphs that satisfy certain additional conditions on their order. In particular, a classification of those with order ▫$kp$▫ or ▫$kp^{2}$▫ where ▫$k \leq 14$▫ and ▫$p$▫ is a prime can be deduced from the results of this paper.
Keywords: graph, digraph, arc-transitive, order
Published in RUP: 08.08.2016; Views: 2414; Downloads: 119
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9. Pythagorean-hodograph cycloidal curvesJernej Kozak, Marjetka Knez, Mladen Rogina, Vito Vitrih, 2015, original scientific article Abstract: In the paper, Pythagorean-hodograph cycloidal curves as an extension of PH cubics are introduced. Their properties are examined and a constructive geometric characterization is established. Further, PHC curves are applied in the Hermite interpolation, with closed form solutions been determined. The asymptotic approximation order analysis carried out indicates clearly which interpolatory curve solution should be selected in practice. This makes the curves introduced here a useful practical tool, in particular in algorithms that guide CNC machines.
Keywords: pitagorejski hodograf, C-krivulje, trigonometrične funkcije, karakterizacija, Hermiteova interpolacija, asimptotični red aproksimacije, Pythagorean-hodograph, C-curves, trigonometric functions, characterization, Hermite interpolation, asymptotic approximation order
Published in RUP: 08.08.2016; Views: 2691; Downloads: 198
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