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SOME RESULTS ON DIFFERENTIABLE MEASURES
Mathematics of the USSR-Sbornik, 1986The author deals with differentiability properties of a Radon measure \(\mu\) on the \(\sigma\)-algebra of Borel subsets B(X) of a linear topological space X. The main concepts of continuity, differentiability, analyticity and quasi-invariancy in a direction \(h\in X\) are naturally defined by the shift \(\mu (A+th)\) as \(t\to 0\).
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Differentiation Properties of Symmetric Measures
Potential Analysis, 2007Let the lower and upper derivative \(\underline D\mu(x)\) and \(\overline D\mu(x)\), respectively, of measures on the Lebesgue \(\sigma\)-algebra of \(\mathbb{R}^d\), \(d\in \mathbb{N}\), in a point \(x\in\mathbb{R}^d\) be defined with respect to cubes containing the point \(x\). Then the main result of the paper says, that for any symmetric measure on
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MEASURABLE STRATEGIES IN DIFFERENTIAL GAMES
Mathematics of the USSR-Sbornik, 1990The author investigates nonlinear convergence-evasion games in the class of measurable strategies. It is well-known that such games have a saddle point and a value within the framework of a conception of a strictly formalized positional differential game developed by \textit{N. N. Krasovskij} and \textit{A. I.
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Population differentiation: measures
2008The genetic divergence between populations can be quantified using different measures. The crucial parameters of the population structure, divergence times and migration rates, can be estimated using polymorphism data.
S. Mona, BERTORELLE, Giorgio
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Numerical Differentiation in the Measurement Model
Measurement Techniques, 2019The problems of increasing the accuracy of numerical differentiation in the measurement model are investigated. We consider the measurements of target characteristics of an object that are not directly measurable, and also the reduction of measurements using the example of determining derivatives and initial parameters in the Cauchy problem. We clarify
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Differential doppler velocity measurements
IEEE Journal of Quantum Electronics, 1969Observed signal characteristics and measurement accuracy are described for a recently developed noncontacting optical velocity sensing method as applied to extended moving surfaces. This method is based on an optical heterodyne measurement of the difference between two Doppler shifts which are produced in the light scattered through two different ...
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A Differential Measure of the Strength of Causation
IEEE Signal Processing Letters, 2022Kurt Butler +2 more
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Measuring Class Differentiation
1996This chapter addresses the analytical and methodological problems involved in measuring class differentiation at the village level and introduces a categorisation of economic classes in the Subang villages. Measuring differentiation at the village level is more complex than is often supposed.
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