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Uniform Distribution

1998
Abstract Definitions. The sequence α,b and normal numbers. Uniform distribution and Riemann integration. Koksma’s inequality. Fourier analysis. The Erdős-Turán theorem and the Wey/ criterion. The sequence nα. Very slowly growing sequences. Metrical theory.
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Distributed Uniformity Testing

Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing, 2018
In the uniformity testing problem, we are given access to samples from some unknown distribution μ on a fixed domain \set1,..,n , and our goal is to distinguish the case where μ is the uniform distribution from the case where μ is e-far from uniform in L_1 distance.
Orr Fischer, Uri Meir, Rotem Oshman
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Granule Distribution Uniformity

Transactions of the ASAE, 1976
ABSTRACT AN index based on the average A squared shortest distance between random points and herbicide granules was used to quantify uniformity of herbicide granule distri-butions. The theoretical granule rate needed for control increased linearly with the distribution index.
null Donald C. Erbach   +2 more
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Air cooling low concentrated photovoltaic/thermal (LCPV/T) solar collector to approach uniform temperature distribution on the PV plate

Applied Thermal Engineering, 2018
In this study, to prevent local excessive temperature on a photovoltaic module, uniformity of air flow as cooling fluid in a low concentrated photovoltaic/thermal (LCPV/T) collector has considered.
Y. Amanlou   +3 more
semanticscholar   +1 more source

Uniform distribution and Voronoĭ convergence

Sbornik: Mathematics, 2005
Udgivelsesdato: SEP ...
Kozlov, V.V., Madsen, Tatiana Kozlova
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Uniform Distribution in Model Sets

Canadian Mathematical Bulletin, 2002
AbstractWe give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining themodel set
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A theorem on uniform distribution

1963
Es sei \(\{I_j\}^\infty_{j=1}\) eine Folge von paarweise elementfremden Intervallen \(I_j = (x_j,y_j)\) derart, daß \(0 \leq x_1 < y_1 < x_2 < y_2 < \cdots\) und \(\lim_{j \to \infty} x_j = \infty\) gilt. Für \(Z>0\) sei \(I(Z)\) das Lebesguesche Maß der Punktmenge \(\cup_{j=1}^{\infty} I_j \cap (0,Z)\). Für \(\alpha > 0\) und für jede natürliche Zahl \
Davenport, H., Erdős, P.
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