Availability analysis of series systems with cold standby components and general repair time.
Sridharan, V. (2007)
APPS. Applied Sciences
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Sridharan, V. (2007)
APPS. Applied Sciences
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Joel L. Lebowitz (1978)
Recherche Coopérative sur Programme n°25
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J. Hunt (1980)
Fundamenta Mathematicae
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Coloma Ballester, Vicent Caselles (2001)
Publicacions Matemàtiques
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We prove that the topographic map structure of upper semicontinuous functions, defined in terms of classical connected components of its level sets, and of functions of bounded variation (or a generalization, the WBV functions), defined in terms of M-connected components of its level sets, coincides when the function is a continuous function in WBV. Both function spaces are frequently used as models for images. Thus, if the domain Ω' of the image is Jordan domain, a rectangle, for instance,...
John Kline (1924)
Fundamenta Mathematicae
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The purpose of this paper is to prove: Theorem: Suppose M is a closed connected set containing more than one point such that if g is any connected subset of M, then M-g is connected. Under these conditions M is a simple closed curve. Theorem: If M is an unbounded closed connected set which remains connected upon the removal of any unbounded connected proper subset, then M is either an open curve, a ray of an open curve or a simple closed curve J plus OP, a ray of an open curve which...
Melvin Henriksen, Amir Nikou (2007)
Commentationes Mathematicae Universitatis Carolinae
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As per the title, the nature of sets that can be removed from a product of more than one connected, arcwise connected, or point arcwise connected spaces while preserving the appropriate kind of connectedness is studied. This can depend on the cardinality of the set being removed or sometimes just on the cardinality of what is removed from one or two factor spaces. Sometimes it can depend on topological properties of the set being removed or its trace on various factor spaces. Some of...
Katarzyna Sajbura (2005)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We are going to prove that level sets of continuous functions increasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are arcs (Theorem 2). In [3], we will apply the second result to the classical linear functional equation φ∘f = gφ + h (cf., for instance, [1] and [2]) in a case not studied yet, where f is given as a pair of means, that is so-called mean-type mapping.
Rudolph Hrycay (1970)
Fundamenta Mathematicae
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Andrzej Biś, Hiromichi Nakayama, Pawel Walczak (2004)
Annales de l’institut Fourier
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We deal with locally connected exceptional minimal sets of surface homeomorphisms. If the surface is different from the torus, such a minimal set is either finite or a finite disjoint union of simple closed curves. On the torus, such a set can admit also a structure similar to that of the Sierpiński curve.