Results 1 to 10 of about 623,025 (279)
Discrete Riemannian Geometry [PDF]
Journal of Mathematical Physics, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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Geometry of Discrete Quantum Computing [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 Conventional quantum computing entails a geometry based on the description of an n-qubit state using 2^{n} infinite precision complex numbers denoting a vector in a Hilbert space.
Amr Sabry +14 more
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Discrete Differential Geometry [PDF]
Oberwolfach Reports, 2006 The workshop Discrete Differential Geometry , organized by Alexander I. Bobenko (Berlin), Richard W. Kenyon (Vancouver), John M. Sullivan (Berlin) and Günter M. Ziegler (Berlin), was held March 5th to March 11th, 2006.
Alexander I. Bobenko +3 more
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Comptes Rendus. Mathématique, 2023 Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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Bipartite Random Graphs and Cuckoo Hashing [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 The aim of this paper is to extend the analysis of Cuckoo Hashing of Devroye and Morin in 2003. In particular we make several asymptotic results much more precise.
Reinhard Kutzelnigg
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A further analysis of Cuckoo Hashing with a Stash and Random Graphs of Excess r [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 Analysis of ...
Reinhard Kutzelnigg
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Discrete Epipolar Geometry [PDF]
, 2005 The epipolar geometry, which lies in the basis of 3D reconstruction techniques in the field of computer vision, is formulated in continuous spaces and gives geometric relationships between different views of a point in space. In applications, however, we cannot deal with points themselves in digital images.
Hamanaka, Masatoshi +2 more
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Boundedness of Multidimensional Dunkl-Hausdorff Operators
Journal of Function Spaces, 2020 In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry [PDF]
, 1999 Noncommutative geometry(NCG) on the discrete space successfully reproduces the Higgs mechanism of the spontaneously broken gauge theory, in which the Higgs boson field is regarded as a kind of gauge field on the discrete space.
Connes Alain +13 more
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