منابع مشابه
On Euler Transforms
provided that d>, instead of being subject to both restrictions (1), is subject only to the second of those restrictions and to the assumption that the integral (7) is convergent at every x>0 (but not necessarily at 2c = 0). By the "natural" topology on Ece is meant that defined by the Helly convergence of monotone functions. Proof of (3). It is readily verified from (1) and (2) that, as *—»oo,...
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We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure. These transforms convert constructible Z-valued functions to continuous R-valued functions over R n. Core contributions include: the definition of the topological Bessel transform; a relationship in terms of the lo...
متن کاملGrossone approach to Hutton and Euler transforms
The aim of this paper is to demonstrate that several non–rigorous methods of mathematical reasoning in the field of divergent series, mostly related to the Euler and Hutton transforms, may be developed in a correct and consistent way by methods of the grossone analysis. 2014 Elsevier Inc. All rights reserved.
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Following the pioneering work of Schapira, we consider topological Radon-type integral transforms on constructible Z-valued functions using the Euler characteristic as a measure. Contributions include: (1) application of the Schapira inversion formula to target localization and classification problems in sensor networks; (2) extension and application of the inversion formula to weighted Radon t...
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Any set of two legs in a Gough–Stewart platform sharing an attachment is defined as a ∆component. This component links a point in the platform (base) to a line in the base (platform). Thus, if the two legs, which are involved in a ∆ component, are rearranged without altering the location of the line and the point in their base and platform local reference frames, the singularity locus of the Go...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1950
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1950-0035860-8