Discrete distributions

Poisson distribution discrete function Binomial distribution discrete function... 

Although particles in two-phase flow are not uniformly distributed, the dense and the dilute phases can be considered, each in its own, as uniform suspensions, and the global system can thus be regarded as consisting of dense clusters dispersed in a broth of separately distributed discrete particles, as shown in Fig. 1. The preceding correlations will therefore be used respectively in the dilute and the dense phases, for calculating micro-scale fluid-particle interaction, and also for evaluating meso-scale interphase interaction between clusters and the broth, as shown in Table I, for CD, CD[ and CD. ... 

The conunon characteristic of these weak forces is that they are due to nonoverlapping electronic clouds of their constituents. They differ in the important aspect of their directional character. The atom-atom van der Waals force is directed along the line of centers of the two atoms. The forces between molecules with anisotropic charge distributions induce a preferred orientation of the molecules toward one another. One can mimic the effect of these by distributing discrete charges (and dipoles, quadrupoles and,... 

Gonzales, F. G., and Davis, W. J. (1997), A Simulation Based Controller for Distributed Discrete Event Systems with Application to Flexible Manufacturing, in Proceedings of the Winter Simulation Conference, (San Diego), S. Andradotrir, K. J. Healy, D. H. Withers and B. L. Nelson, Eds., pp. 845-852. 

Another interesting point concerns the coimection between the VS structure and the VSS form, as well as with the peculiar structure of the VSS. Any probability distribution, discrete or continuous, belongs to some VSS unit shell. Probability distributions can be generated by the normalized elements of some normed or metric space, so that the resultant VSS element belongs to the unit shell, S(a), and in this way potentially to any other VSS a— shell. 

A composite material is a two-phase or multiphase compact material with its components (phases) separated by interfaces which can be formed naturally or be manmade. One of the composite material phases is the matrix (phase I). It exists in the solid (crystalline or amorphous) state of aggregation. Within the matrix, particles are distributed discretely. This is phase II or disperse phase [23]. Biocomposites are composite materials made from natural fiber and petroleum-derived nonbiodegradable polymers like PP, PE, and epoxies or biopolymers like poly lactic acid (PLA), cellulose esters. Composite materials derived from biopolymer and synthetic fibers such as glass and carbon come under biocomposites. Biocomposites derived from plant-derived fiber (natural/biofi-ber) and crop/bioderived plastics (biopolymer/bioplastic) are likely more ecofriendly, and such biocomposites are sometimes termed green composites [24]. 

As in the previous example, we assume particle volume x to represent the particle state. Further, the particle volume is distributed discretely between... 

We present two types of probability distribution discrete and continuous. 

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