Results 71 to 80 of about 1,153 (175)

Weighted Sobolev spaces on curves [PDF]

, 2002
45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M.   +3 more
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Digital Jordan curves

, 2006
A digital Jordan curve theorem is proved for a new topology defined on Z2. This topology is compared with the classical Khalimsky and Marcus topologies used in digital topology.
Šlapal, Josef
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The classical and generalized Schoenflies theorems [PDF]

, 1977
The classical Schoenflies Theorem states that for any Jordan 2 curve J in the Euclidean plane E2 , there exists a homeomorphism h of E2 onto itself such that h(J) - S1 .
Heatherly, David Lee, NC DOCKS at The University of North Carolina at Greensboro   +1 more
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Intersection number of paths lying on a digital surface and a new jordan theorem

, 1999
International audienceThe purpose of this paper is to define the notion of "real" intersection between paths drawn on the 3d digital boundary of a connected object. We consider two kinds of paths for different adjacencies, and define the algebraic number
Fourey, Sébastien, Sébastien Fourey, Rémy Malgouyres, Malgouyres, Rémy   +3 more
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Partition function for the 2d Coulomb gas on a Jordan curve

We prove an asymptotic formula for the partition function of a 2d Coulomb gas at inverse temperature $\beta>0$ confined to lie on a Jordan curve. This also gives a central limit theorem for a linear statistic of the particles in the gas.
Courteaut, Klara,, Johansson, Kurt,
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The Jordan curve theorem and its applications in digital image processing

, 2019
Poznati rezultat iz topologije, Jordanov teorem o krivulji, obično se navodi kao primjer rezultata čija tvrdnja djeluje očito, ali čiji je dokaz vrlo složen.
Gašparić, Rebeka, Ivana Slamić, Slamić, Ivana, Rebeka Gašparić   +3 more
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On a theorem of Lindelof

, 2011
We give a quasiconformal version of the proof for the classical Lindelof theorem: Let \(f\) map the unit disk \(\mathbb{D}\) conformally onto the inner domain of a Jordan curve \(\mathcal{C}\): Then \(\mathcal{C}\) is smooth if and only if arg \(f'(z ...
Martio, Olli, Ryazanov, Vladimir, Gutlyanskii, Vladimir Ya.   +2 more
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On a theorem of Lindelof

, 2016
We give a quasiconformal version of the proof for the classical Lindelof theorem: Let \(f\) map the unit disk \(\mathbb{D}\) conformally onto the inner domain of a Jordan curve \(\mathcal{C}\): Then \(\mathcal{C}\) is smooth if and only if arg \(f'(z ...
Martio, Olli, Ryazanov, Vladimir, Gutlyanskii, Vladimir Ya.   +2 more
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Summability on non-rectifiable Jordan curves

, 2018
For a given parameterization of a Jordan curve, we define the notion of summability or classes of measurable functions on a contour where a new integral is introduced.
Yevgeniy Guseynov
core   +1 more source

Approximation theory for weighted Sobolev spaces on curves [PDF]

, 2001
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo, Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M., Álvarez González, Venancio, Rodríguez García, José Manuel   +6 more
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