Results 1 to 10 of about 3,641 (214)
AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces [PDF]
MathematicsThe present article explores the possibilities of using artificial neural networks to solve problems related to reconstructing complex geometric surfaces in Euclidean and pseudo-Euclidean spaces, examining various approaches and techniques for training ...
Kostadin Yotov +3 more
doaj +2 more sources
Weak curvatures of irregular curves in high-dimensional Euclidean spaces [PDF]
, 2021 We deal with a robust notion of weak normals for a wide class of irregular curves defined in Euclidean spaces of high dimension. Concerning polygonal curves, the discrete normals are built up through a Gram–Schmidt procedure applied to consecutive ...
Saracco A., Mucci D.
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New approach to timelike Bertrand curves in 3-dimensional Minkowski space [PDF]
, 2023 In the theory of curves in Euclidean 3-space, it is well known that a curve /3 is said to be a Bertrand curve if for another curve /3* there exists a one-to-one correspondence between /3 and /3* such that both curves have common principal normal line ...
Uçum, A. +3 more
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In this paper, we define a nonlinear transformation between space curves which preserves the ratio of $\tau/\kappa$ of the given curve in 3−dimensional Euclidean space $E^3$. We investigate invariant and associated curves of this transformation by the help of curvature and torsion functions of the base curve. Moreover, we define a new curve (family) so-
openaire +2 more sources
Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces [PDF]
, 2014 This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose ...
Malý, Lukáš
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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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Minimax properties of Fréchet means of discretely sampled curves [PDF]
, 2012 We study the problem of estimating a mean pattern from a set of similar curves in the setting where the variability in the data is due to random geometric deformations and additive noise.
Gendre, Xavier +3 more
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International Journal of Mathematical Combinatorics, Vol.5 [PDF]
, 2011 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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International Journal of Mathematical Combinatorics, Vol.3A [PDF]
, 2009 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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On clustering and related problems on curves under the Fréchet distance [PDF]
, 2021 Sensor measurements can be represented as points in Rd. Ordered by the time-stamps of these measurements, they yield a time series, that can be interpreted as a polygonal curve in the d-dimensional ambient space.
Krivosija, Amer
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