A new three-dimensional integral containing f(x,y,z)Iv(x?) is derived where Iv(x?) the Modified Bessel Function of first kind and taken over infinite cubic space 0<x<?,0<y<?,0<z<?. The not easily evaluated for complex ranges parameters. representation in terms Hurwitz–Lerch zeta function, polylogarithm function Riemann functions are evaluated. This yields triple representation...

We show that there are constants k,K > 0 such that for all N, s ∈ N, s ≤ N , the point set consisting of N points chosen uniformly at random in the s-dimensional unit cube [0, 1]s with probability at least 1− e−ks admits an axis-parallel rectangle [0, x] ⊆ [0, 1]s containing K √ sN points more than expected. Consequently, the expected star discrepancy of a random point set is of order √

The less polar fractions of the extract of the aerial parts of Jurinea leptoloba afforded two new elemanolides. The structures were elucidated by high field NMR techniques

An event sample enriched in semileptonic decays of b hadrons is selected using an inclusive lepton selection from approximately 3.0 million hadronic Z0 decays collected with the OPAL detector. This sample is used to investigate B meson oscillations by reconstructing a proper decay time for the parent of each lepton, using a jet charge method to estimate the production flavour of this parent, an...

This density functional theory (DFT) investigation examines the formation of nonradical Au(0) species from the reduction of Au(I) species. The Au(I) complexes of interest are AuCl2(-), AuBr2(-), AuI2(-), AuClPH3, and AuCl(H)SCH3(-), which are precursors for gold nanoparticle and cluster formation. Reaction of two of the Au(I) species with a hydride results in ejection of two of the ligands and ...