Results 11 to 20 of about 846 (138)
Hermite Interpolation Using Möbius Transformations of Planar Pythagorean-Hodograph Cubics
Abstract and Applied Analysis, 2012 We present an algorithm for C1 Hermite interpolation using Möbius transformations of planar polynomial Pythagoreanhodograph (PH) cubics. In general, with PH cubics, we cannot solve C1 Hermite interpolation problems, since their lack of parameters makes ...
Sunhong Lee +4 more
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Fractional Calculus of Analytic Functions Concerned with Möbius Transformations
Journal of Function Spaces, 2016 Let A be the class of functions f(z) in the open unit disk U with f(0)=0 and f′(0)=1. Also, let w(ζ) be a Möbius transformation in U for some z∈U.
Nicoleta Breaz +2 more
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On the Images of Ellipses Under Similarities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We consider ellipses corresponding to any norm function on the complex plane and determine their images under the similarities which are special Möbius transformations.
Özgür Nihal Yilmaz
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Fractal and Fractional, 2021 In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step ...
Pavel Trojovský, K Venkatachalam
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Divergent Synthesis of Möbius and Hückel N‐Heterocycloarenes From a Common Macrocyclic Backbone
Angewandte Chemie, EarlyView.In the divergent synthesis of Möbius and Hückel N‐heterocycloarenes from a common macrocyclic precursor, the annulation reaction dictates topology: Scholl reaction gives Möbius topology, while InCl3‐mediated alkyne annulation gives Hückel topology. The Möbius N‐heterocycloarene is unevenly contorted as revealed by crystal structure, and the Hückel N ...
Han Chen +6 more
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A Multi-Attribute Approach for Low-Carbon and Intensive Land Use of Jinan, China
Land, 2023 This paper establishes an evaluation system based on the low-carbon intensive land use in Jinan city from 2010 to 2017 and uses a multi-attribute approach named grey fuzzy integral to build the evaluation model.
Qingling Yu +3 more
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Angewandte Chemie, EarlyView.We demonstrate the facile aromatic C─C bond cleavage of cyclopentadienide mediated by transient imino(metallophosphino)silylenes, enabling the transformation of an aromatic system into a homoaromatic species. The steric bulk of the phosphino substituent, together with the weak interaction between the coinage metal and the cyclopentadienide ligand, are ...
Huaiyuan Zhu +4 more
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Determinant Identities and the Geometry of Lines and Circles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
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Equiareal Parameterization of Triangular Bézier Surfaces
Mathematics, 2022 Parameterization is the key property of a parametric surface and significantly affects many kinds of applications. To improve the quality of parameterization, equiareal parameterization minimizes the equiareal energy, which is presented as a measure to ...
Jun Chen, Xiang Kong, Huixia Xu
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On non-commutative Minkowski spheres
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version ...
Stachó Lászlo L., Werner Wend
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