BACKGROUND Although real-time tracking of moving objects using a variety of sensor parameters is in great demand in monitoring systems, no studies have reported α-[Formula: see text]-[Formula: see text] tracking filters using simultaneous measurements including acceleration. In this report, we propose and analyze two α-[Formula: see text]-[Formula: see text] filters using acceleration measureme...

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we prove a representation formula for weak solutions of the system. Here the representation formula is used to get an asymptotic expansion of respe...

We consider a time discretization of incompressible Navier-Stokes equations with spatial periodic boundary conditions in the vorticity-velocity formulation. The approximation is based on freezing velocity subintervals resulting linear parabolic for vorticity. Probabilistic representations solutions these are given. At each step, expressed via vorticity using formula corresponding to Biot--Savar...

in this paper, a new enhanced version of the particle swarm optimization (pso) is presented. an important modification is made by adding probabilistic functions into pso, and it is named probabilistic particle swarm optimization (ppso). since the variation of the velocity of particles in pso constitutes its search engine, it should provide two phases of optimization process which are: explorati...

Ultrasonic velocity data on hydrocarbon mixtures was shown by Wang and Nur JASA 89, 2725 (1991)] to agree quite well with the predictions of a simple mixing rule (volume average of velocity). The same data is reanalyzed using Wood's formula and the time average approximation. Wood's formula for acoustic velocity is shown to be always less than the time average formula, which is itself always le...