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Publicationes Mathematicae Debrecen, 2011
A natural Riemann extension is a natural lift of a manifold with a symmetric affine connection to its cotangent bundle. The corresponding structure on the cotangent bundle is a pseudo-Riemannian metric. The classical Riemann extension has been studied by many authors. The broader (two-parameter) family of all natural Riemann extensions was found by the
OLDRICH KOWALSKI, MASAMI SEKIZAWA
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A natural Riemann extension is a natural lift of a manifold with a symmetric affine connection to its cotangent bundle. The corresponding structure on the cotangent bundle is a pseudo-Riemannian metric. The classical Riemann extension has been studied by many authors. The broader (two-parameter) family of all natural Riemann extensions was found by the
OLDRICH KOWALSKI, MASAMI SEKIZAWA
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On Two Natural Extensions of n-normality
Acta Mathematica Sinica, English Series, 2023The author in this paper generalizes the classes of \(n\)-normal and quasinormal operators. He also establishes a Weyl-like theorem and shows the existence of a nontrivial invariant subspace for this new class.
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Invariant Measures and Natural Extensions
Canadian Mathematical Bulletin, 2002AbstractWe study ergodic properties of a family of intervalmaps that are given as the fractional parts of certain real Möbius transformations. Included are the maps that are exactly n-to-1, the classical Gauss map and the Renyi or backward continued fraction map.
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Constructing Natural Extensions of Propositional Logics
Studia Logica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on Natural Extensions in Abstract Algebraic Logic
Studia Logica, 2014The paper analyses the existence of natural extensions of a logic for arbitrary new sets of variables (This concept was introduced by \textit{J. Czelakowski} [Protoalgebraic logics. Dordrecht: Kluwer Academic Publishers (2001; Zbl 0984.03002)]). The proof of the transfer principle and many results require the existence of natural extensions of the ...
Petr Cintula, Carles Noguera
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Spatiotemporal Extensions to a Controlled Natural Language
2012We discuss extensions to the controlled natural language CPL to explicitly define and reason about temporal and spatial concepts. New sentence templates are added to define culturally-specific temporal and spatial names. Two kinds of queries are supported: (1) proximity queries, and (2) relational (e.g., overlap or containment) queries.
William R. Murray, Tomás Singliar
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2015
Following a discussion of the use of filtered signals, the chapter illustrates the wider interpretation of NOILC by considering its flexibility using multi-rate discrete time systems followed by an analysis of situations where variation of the initial conditions is possible and can be regarded as part of the input signal.
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Following a discussion of the use of filtered signals, the chapter illustrates the wider interpretation of NOILC by considering its flexibility using multi-rate discrete time systems followed by an analysis of situations where variation of the initial conditions is possible and can be regarded as part of the input signal.
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Extensions of the natural energiomaterial ecology
Energy Conversion and Management, 1993Abstract The natural energiomaterial ecology was causally extended through the historical contexts of Newton-Huyghens, Michelson-Morley, relativity and quantum theories. The unavoidable historical audit revealed gross and flagrant disregard of natural baselines and laws wherein advocacy of theory and local consensus prevailed.
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Natural extensions of measurable transformations
1994This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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Natural extensions of holomorphic motions
Journal of Geometric Analysis, 1997This paper discusses the problem of natural extensions of holomorphic motions; it gives the following unique way of extensions. Let \(\overline{D}\) be the closed unit disc and \(\{X_z ; z\in \overline{D}\}\), a real analytic family of the real analytic plane Jordan curves \(X_z\).
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