In this paper we obtain an estimate for the Thomas{Fermi density which plays a role in the analysis of the atomic energy asymptotics. Such estimate has obvious number{theoretic features related to the radial symmetry of a certain Schrr odinger operator, and we use number{theoretic methods in our proof. From the technical viewpoint, we also simplify and improve some of the original estimates in ...

We show that א2 ≤ b < g is consistent. This work is dedicated to James Baumgartner on the occasion of his

to investigate the effect of sowing density and growth habit on yield, yield components and weed community of red bean an experiment was conducted at research farm of zanjan university, during 2009. the experiment carried out using factorial-split plot design in completely randomized block arrangement with three replications. the main plots, included three red bean cultivars (goli, sayyad and d...

There is considerable interest in how humans estimate the number of objects in a scene in the context of an extensive literature on how we estimate the density (i.e., spacing) of objects. Here, we show that our sense of number and our sense of density are intertwined. Presented with two patches, observers found it more difficult to spot differences in either density or numerosity when those pat...

rearing methods for bracon hebetor (say) (hym., braconidae) were investigated in the series of laboratory experiments designed to enhance the yield of the mass rearing of this parasitoid for biological control of lepidopteran field and stored product pests. in these experiments, the effects of parasitoid and host densities on fertility and sex ratio of b. hebetor were assessed. in parasitoid de...

abstract in order to study the effect of planting density and branch pruning on growth, yield and quality of greenhouse muskmelon, a study has been conducted using a factorial experiment in a completely randomized design with three replications and three factors, including cultivar (galia-52 and mirella), branch pruning (1 and 2 branch per plant), and plant density (2, 2.4, 2.8 and 3.6 plants p...

We present a model of baryonic matter which contains free constituent quarks in addition to bound constituent quarks in nucleons. In addition to the common linear σ-model we include the exchange of vector-mesons. The percentage of free quarks increases with baryon density but the nucleons resist a restoration of chiral symmetry.

We prove that g (the groupwise density number) is smaller or equal to b, the successor of the minimal cardinality of an unbounded subset of ωω. This is true even for the version of g for groupwise dense ideals.

The abundance of galaxy clusters as a function of mass is determined using the 2dFGRS Percolation-Inferred Galaxy Group (2PIGG) catalogue. This is used to estimate the amplitude of the matter fluctuation spectrum, parametrised by the linear theory rms density fluctuations in spheres of 8h Mpc, σ8. The best-fitting value for this parameter is highly correlated with the mean matter density in the...

Interaction dynamics of laser pulses and nanoparticles are of great interest in recent years. In many cases, laser-nanoparticle interactions result in the formation of plasmonic nanobubbles, and the dynamics of nanoparticles and nanobubbles are inseparable. So far, very little attention has been paid to the number density. Here we report the first observation of number-density-dependent growth ...