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Huygens' pendulum clock provided the first terrestrial candidate for a decently accurate measure of uniform time.
Because the vector O −1 ξ n follows the product measure of uniform distributions on univariate intervals, (U_{ 0,C_{1}timeses ldots times U_{ 0,C_{d})}), it can immediately be simulated.
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In this paper a new discrepancy measure of uniformity for uniform designs (UDs) in a unit cube is presented.
A region is defined to be non-oriented when its orientation coherence is less than a pre-determined threshold; this coherence function is a measure of how uniform gradient directions are around a pixel.
The distribution of each split 8-mer in promoters was determined and a measure of non-uniform distribution termed "localization factor" (LF) was calculated (Vinson et al. 2011).
Furthermore, we connect the previous essentially measure-free version of uniform integrability with local convexity of the L0-topology when restricted on convex, solid and bounded subsets of L0.
We prove that the canonical central half-spaces are extremal in particular cases: products of log-concave measures on the real line satisfying precise conditions and products of uniform measures on spheres, or balls.
In order to create a standardized system for chemical risk assessment, the introduction of uniform measures is essential.
Reassessing the health effects of chemicals with a system of uniform measures could reveal many risks that need to be preferentially addressed above and beyond keeping minor toxicants to zero or negligible levels.
In fact, this will follow from our more general result stating that for any separable (or any precompact) group G, we have Zt LUC(G ∗)="Leb(G), where Leb G) denotes the algebra of uniform measures.
In the analysis of child care and ECE, the lack of uniform measures of early child development outcomes was apparent.
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