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On natural Riemann extensions

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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On Two Natural Extensions of n-normality

Acta Mathematica Sinica, English Series, 2023
The 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, 2002
AbstractWe 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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Spatiotemporal Extensions to a Controlled Natural Language

2012
We 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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NOILC: Natural Extensions

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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Extensions of the natural energiomaterial ecology

Energy Conversion and Management, 1993
Abstract 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

1994
This 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, 1997
This 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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NASP at Thirty: A Natural Extension?

School Psychology Review, 1989
Three brief scenarios of organizational change are presented in the context of predictions of school psychology and NASP growth.
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NATURAL EXTENSIONS FOR THE GOLDEN MEAN

European Women in Mathematics, 2009
Dajani, K., Kalle, C.C.C.J.
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