In this paper, a generalized particle system (GPS) method, a general method to describe multiple strong form representation based particle methods is described. Gradient, divergence, and Laplacian operators used in various strong form based particle method such as moving particle semi-implicit (MPS) method, smooth particle hydrodynamics (SPH), and peridynamics, can be described by the GPS metho...

The current regulated particle metric in vehicle emissions is the total mass, while during last decade interest in number size distribution has increased. Various international studies on epidemiology and toxicology have reported the adverse effect of the particle matter on public health. The UNECE group of experts on pollution and energy (GRPE) under particle measurement program (PMP) are u...

Under the natural partial exchangeability assumption for multi-class interacting particle systems, we prove that these converge to an independent system with innite i.i.d. classes if and only if the empirical measure of each class satises a weak law of large numbers. This extension of a classical result for exchangeable systems (related to the de Finetti Theorem) is somewhat surprising, since t...

This work is a survey on Bogoliubov functionals and their applications to the study of stochastic evolutions on states of continuous infinite particle systems. 1 Bogoliubov generating functionals Let Γ := Γ Rd be the configuration space over R d , d ∈ N, Γ := { γ ⊂ R : |γ ∩Λ |< ∞ for every compact Λ ⊂ R }

frothers havea profoundeffectonbubble size and also flotation efficiency. in present study the effect of type and dosage of frothers on the flotation response of coarse particles of quartz was investigated.  therefore, flotation response of coarse particles using frothers such as mibc, pine oil, poly propylene glycol with concentration of 0, 25, 50 and 75 g/t, was obtained respectively. for all...

the angle of repose of soil particles is an important factor for determining critical shear stress for initiation of soil particles motion during the erosion process. there are different methods for measuring the angle of particle repose and the result of each method is somewhat different from those of the others. sliding and fixed-base piling methods are the two most common methods in the lite...