On Integration with Respect to Measures with Values in Arbitrary Topological Vector Spaces
D. Butković (1979)
Publications mathématiques et informatique de Rennes
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D. Butković (1979)
Publications mathématiques et informatique de Rennes
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Finn F. Knudsen (2008)
Fundamenta Mathematicae
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We state a certain lifting conjecture and prove it in the case of a torus. From this result we are able to construct a connected dense subset of the space of intrinsic simple topological measures on the torus, consisting of push forwards of compactly supported generalized point-measures on the universal covering space. Combining this result with an observation of Johansen and Rustad, we conclude that the space of simple topological measures on a torus is connected.
S. V. Butler (2006)
Fundamenta Mathematicae
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It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.
Artur Bartoszewicz (1978)
Colloquium Mathematicae
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Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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Jan K. Pachl (1979)
Colloquium Mathematicae
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K. Musiał (1973)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1975)
Colloquium Mathematicae
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Robert Susmaga, Izabela Szczech (2015)
International Journal of Applied Mathematics and Computer Science
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The paper presents visualization techniques for interestingness measures. The process of measure visualization provides useful insights into different domain areas of the visualized measures and thus effectively assists their comprehension and selection for different knowledge discovery tasks. Assuming a common domain form of the visualized measures, a set of contingency tables, which consists of all possible tables having the same total number of observations, is constructed. These...
Stanisław Szufla (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Jantas, Alicja (2015-11-10T12:04:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Matthew Badger, Raanan Schul (2017)
Analysis and Geometry in Metric Spaces
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A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical...
K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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Václav Remeš, Michal Haindl (2018)
Kybernetika
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A survey of local image contrast measures is presented and a new contrast measure for measuring the local contrast of regions of interest is proposed. The measures validation is based on the gradual objective contrast decreasing on medical test images in both grayscale and color. The performance of the eleven most frequented contrast measures is mutually compared and their robustness to different types of image degradation is analyzed. Since the contrast measures can be both global,...
Strichartz, Robert S., Taylor, Arthur, Zhang, Tong (1995)
Experimental Mathematics
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Mariusz Paradowski (2015)
International Journal of Applied Mathematics and Computer Science
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Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association...
Monika Dekiert (1993)
Manuscripta mathematica
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Flemming Topsøe (1979)
Colloquium Mathematicae
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