Mixtures of nonatomic measures. III
K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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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...
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...
Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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K. P. S. Bhaskara Rao, B. V. Rao (1975)
Colloquium Mathematicae
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B. Jessen (1948)
Colloquium Mathematicae
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Artur Bartoszewicz (1978)
Colloquium Mathematicae
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Jan K. Pachl (1979)
Colloquium Mathematicae
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Wu, Jang-Mei (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Stanisław Szufla (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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K. Musiał (1973)
Colloquium Mathematicae
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Jantas, Alicja (2015-11-10T12:04:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Larsen, R. (1967)
Portugaliae mathematica
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Heinz Leutwiler, Maynard Arsove (1983)
Mathematische Zeitschrift
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Ai Fan (1996)
Studia Mathematica
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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...