Frequency histograms are ubiquitous, being practically used in any field of science. In this paper, we present a partial order for frequency and, to our knowledge, no kind has been yet defined. This is based on the stochastic discrete probability distributions and it invariance properties that make unique. First, model histogram as sequence bins associated with (or relative frequency) distribut...

Material imbalances at some companies have been traced to the procedures they use for forecasting demand based on the usual normality assumption. In this paper we discuss a simple and easy to implent nonparametric technique to forcast the demand distribution based on statistical learning, and ordering policies based on it, that are giving satisfactory results at these companies. We also discuss...

Supplementary Material Available: Lists of bond lengths, bond angles, and final anisotropic thermal parameters of radicals 2-6 stereoscopic views of molecular packing of radical 6 perspective views of radicals 1.CsH6, 2,4,5 and 6 with numbering schemes; and complete synthetic procedures and physical properties of precursors and radicals not given in the main text (20 pages). Ordering informatio...

A new NiO-based material Pb2Ni(PO4)2 was obtained by a conventional solid-state reaction in air. The crystal structure exhibits both corner- and edge-sharing {Ni-O-P} bonds in the system. Magnetic properties were investigated by means of magnetic susceptibility, magnetization, and heat capacity measurements. The results show a typical three-dimensional antiferromagnetic ordering below ~4 K and ...

The atomic-scale structure of nanocrystalline ZrO2 obtained by ball milling has been studied using highenergy x-ray diffraction and the atomic pair distribution function technique. The studies show that, upon relatively short milling times, the parent crystalline material, monoclinic ZrO2, evolves into a nanocrystalline phase that is locally similar to monoclinic zirconia but shows a cubic-type...

The heat capacities of annealed and quenched samples of Lio.osZno.poFea.as04 and of quenched ZnFqO, have been determined over the range .5-350°K. Addition of lithium to zinc ferrite lowers the temperature of the co-operative thermal anomaly associated with antiferromagnetic ordering transition in accord with theory, and quenching of either material results in nearly complete disappearance of th...

We experimentally determine ensemble-averaged responses of granular packings to point forces, and we compare these results to recent models for force propagation in a granular material. We use 2D granular arrays consisting of photoelastic particles: either disks or pentagons, thus spanning the range from ordered to disordered packings. A key finding is that spatial ordering of the particles is ...

The unusual magnetic properties of a novel low-dimensional quantum ferrimagnet Cu2Fe2Ge4O13 are studied using bulk methods, neutron diffraction, and inelastic neutron scattering. It is shown that this material can be described in terms of two low-dimensional quantum spin subsystems, one gapped and the other gapless, characterized by two distinct energy scales. Long-range magnetic ordering obser...