We study the distribution of spacings between squares modulo q, where q is square-free and highly composite, in the limit as the number of prime factors of q goes to infinity. We show that all correlation functions are Poissonian, which among other things, implies that the spacings between nearest neighbors, normalized to have unit mean, have an exponential distribution. Date: Dec 14, 1998. Sup...

Nearest neighbor cells in Rd are used to define coefficients of divergence (φ-divergences) between continuous multivariate samples. For large sample sizes, such distances are shown to be asymptotically normal with a variance depending on the underlying point density. The finite-dimensional distributions of the point measures induced by the coefficients of divergence converge to those of a gener...

This paper presents a new algorithm for the independent components analysis (ICA) problem based on efficient spacings estimates of entropy. Like many previous methods, we minimize a standard measure of the departure from independence, the estimated Kullback-Leibler divergence between a joint distribution and the product of its marginals. To do this, we use a consistent and rapidly converging en...

Distributions of Coulomb blockade peak spacings are reported for large ensembles of both unbroken (magnetic field B ­ 0) and broken (B fi 0) time-reversal symmetry in GaAs quantum dots. Both distributions are symmetric and roughly Gaussian with a width of ,2% 6% of the average spacing, with broad, non-Gaussian tails. The distribution is systematically wider at B ­ 0 by a factor of ,1.2 6 0.1. N...

Tef is a small-seeded staple crop endemic to Ethiopia. However, its yield low, constrained partly due improper agronomic practices and lodging. Thus, during the 2019–2020 cropping season, field experiment was carried out at Reef Tokko Taanne Hamilee in Hababo Guduru district, Western Ethiopia examine effects of seed rate inter-row spacing on growth, phenology, yield, lodging severity tef crop. ...

planting pattern can be adjusted by changing row spacing and row width, one row and two- row planting and plant interval on rows. in order to obtain the optimum planting pattern of a monogerm hybrid cultivar and its effect on the quantitative and qualitative characteristics of this cultivar, an experiment was conducted in two years (2001-2002) in zarghan area of farsprovince. the measured chara...