We present a simple point process model of 1/f(beta) noise, covering different values of the exponent beta . The signal of the model consists of pulses or events. The interpulse, interevent, interarrival, recurrence, or waiting times of the signal are described by the general Langevin equation with the multiplicative noise and stochastically diffuse in some interval resulting in a power-law dis...

Abslrad : Some practical methods --r implementing the sliding-mode control law to control the buck-type converters are introduced. The control equations are derived from the basic slidmg-mode control law to accommodate the conventional fiied-frequency pwm control method. As a result, the overall feedback control systems can be expressed under a form similar to state-feedback control where the v...

K.H. Norwich et al. used Shannon Information Theory to derive their Entropy Theory of Perception (1975-present). The Entropy Theory produces the Entropy Equation, which relates the strength of sensation (represented by magnitude estimates) to the intensity of the sensory stimulus. At “high” intensities, the relation is approximately logarithmic, which Norwich et al. dubbed “the Weber-Fechner La...

before constitution revolution, advocacy in our country governed by islamic law and lawyers introduced as a free profession in means of that law. after that revolution the government promulgated some rules for its regulation as an official profession. by act of bar association independence, this profession declared independent. many lawyers after islamic revolution have been filtrated and by th...

The traditional conservation of mass equation is derived using a first-order Taylor series to represent flux change in a control volume, which is valid strictly for cases of linear changes in flux through the control volume. We show that using higher-order Taylor series approximations for the mass flux results in mass conservation equations that are intractable. We then show that a fractional T...

It is argued that fractional acoustic wave equations come in two kinds. The first kind is constructed ad hoc to have loss operators that fit power law measurements. The second kind is more fundamental as they in addition are based on underlying physical equations. Here that means constitutive equations. These equations are the fractional Kelvin‐Voigt and the more general fractional Zener stress...

In the present work, study of the vibration of a functionally graded (FG) cylindrical shell made up of stainless steel, zirconia, and nickel is presented. Free vibration analysis is presented for FG cylindrical shells with simply supported-simply supported and clamped–clamped boundary condition based on temperature independent material properties. The equations of motion are derived by Hamilton...

In this article, transverse vibration of a cantilever nano- beam with functionally graded materials and carrying a concentrated mass at the free end is studied. Material properties of FG beam are supposed to vary through thickness direction of the constituents according to power-law distribution (P-FGM). The small scale effect is taken into consideration based on nonlocal elasticity theory of E...

In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories. Modified coupled stress theory is a non-classical continuum mechanics theory. In this theory, a material-length scale parameter is applied to account for the effect of nanostructu...

Analytic solutions F (v, t) of the nonlinear Boltzmann equation in ddimensions are studied for a new class of dissipative models, called inelastic repulsive scatterers, interacting through pseudo-power law repulsions, characterized by a strength parameter ν, and embedding inelastic hard spheres (ν = 1) and inelastic Maxwell models (ν = 0). The systems are either freely cooling without energy in...