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Hamiltonian connectivity and globally 3∗-connectivity of dual-cube extensive networks
Computers & Electrical Engineering, 2010In 2000, Li et al. introduced dual-cube networks, denoted by DC"n for n>=1, using the hypercube family Q"n and showed the vertex symmetry and some fault-tolerant hamiltonian properties of DC"n. In this article, we introduce a new family of interconnection networks called dual-cube extensive networks, denoted by DCEN(G).
Shih-Yan Chen, Shin-Shin Kao
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On dual-projectively flat affine connections
Journal of Geometry, 1995The author introduces notions of dual-geodesic curves, dual-projective equivalence and dual-projective flatness for affine connections compatible or semi-compatible with a pseudo-Riemannian metric tensor field. He studies basic properties of these notions and gives some applications to the theory of affine hypersurfaces.
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Standard Divergence in Manifold of Dual Affine Connections
2015A divergence function defines a Riemannian metric G and dually coupled affine connections (∇,∇∗) with respect to it in a manifold M. When M is dually flat, a canonical divergence is known, which is uniquely determined from G,∇,∇∗. We search for a standard divergence for a general non-flat M.
Amari, Shun'ichi, Ay, Nihat
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Dual connections in Finsler geometry
2008Summary: In the present paper, we generalize the notion of statistical structure and its dual connection in Riemannian geometry to Finsler geometry. We shall show that the Berwald connection \(D\) of a Finsler manifold is a statistical structure. In particular, as an application of this fact, we shall show that, if the \(hh\)-curvature of the Berwald ...
Nagano, T., Aikou, T.
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Cognate Paradigms Revisited : Connecting the Dual
2003Abstract A pronominal paradigm is not an isolated, unchangeable structure. Quite the contrary: the structure of a pronominal paradigm is highly variable through time and space, and the variation in paradigmatic structure, even between closely related languages, is remarkable.
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Dual connections on a normalized hypersurface in an affinely connected space
Russian Mathematics, 2009We study dual connections induced by normalizations of submanifolds embedded into an affinely connected space A n,n .
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Connectivity or Complementarity in the Dual System
Zeitschrift für Berufs- und Wirtschaftspädagogik, 2019The relationship between learing at school and in-company learning is essential to the understandig of apprenticeship, not only in the frame of the German dual system of vocational education. Around the year 2000 two theoretical approaches have been presented.
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Quaternion-Valued Twin-Multistate Hopfield Neural Networks With Dual Connections
IEEE Transactions on Neural Networks and Learning Systems, 2021Masaki Kobayashi
exaly