Psychometric function plots the percentage of the correct responses among an entire pool of responses (cumulative probability) in a psychophysical task versus the amount of change in an independent variable. These changes in the independent variable are made with reference to a constant initial value. If this initial value is altered, the psychometric function will change according to Weber’s l...

Psychometric function plots the percentage of the correct responses among an entire pool of responses (cumulative probability) in a psychophysical task versus the amount of change in an independent variable. These changes in the independent variable are made with reference to a constant initial value. If this initial value is altered, the psychometric function will change according to Weber’s l...

Three new iteration methods, namely the squared-operator method, the modified squared-operator method, and the power-conserving squared-operator method, for solitary waves in general scalar and vector nonlinear wave equations are proposed. These methods are based on iterating new differential equations whose linearization operators are squares of those for the original equations, together with ...

In this paper a variety of uncertainty phenomena in chaos synchronization, which are caused by the sensitive dependence on initial conditions and coupling strength, are numerically investigated. Two identical Chua’s circuits are considered for both mutuallyand unidirectionallycoupled systems. It is found that initial states of the system play an important role in chaos synchronization. Dependin...

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields) at different temperatures T1 and T2. We show that if T1 is not equal to T2 then the combined system has a stationary, non-equilibrium state (NESS). We show that this state has nonvanishing heat fluxes and positive entropy productio...

We examine both analytically and numerically the validity of factorization for the double dipole scattering amplitude T (2) which appears on the right hand side of the BK–JIMWLK equation. We demonstrate that, if one uses a dilute object (e.g., a proton in DIS) as the initial condition, the correlation in the transverse plane induced by the leading order BFKL evolution is generally strong, resul...

We study a small quantum system (e.g. a simplified model for an atom or molecule) interacting with two bosonic or fermionic reservoirs (say, photon or phonon fields). We show that the combined system has a family of stationary states, parametrized by two numbers T1, T2 (“reservoir temperatures”). If T1 6= T2, then these states are non-equilibrium, stationary states (NESS). In the latter case we...

the aim of this paper is to study the kinetic study carbonylation of methanol using of the homogeneous rhodium catalyst and ch3i as the promoter in acid media based on monsanto process. the reaction was carried out in liquid media in the constant pressures 20,28 and 40 atm. and temperatures 170 to185oc, espect to the  initial  reactant concentrations and co pressure.  it was identified that the...

— Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schrödinger equation on X with square integrable initial condition f is identically zero at all times t whenever f and the solution at a time t0 > 0 are simultaneously very rapidly decreasing. The stated condition of rapid decrease is of Beurling type. Conditions respectively of Gelf...

We compute the skewness t3 and the corresponding hierarchical amplitude T3 of the divergence of the velocity field for arbitrary non-Gaussian initial conditions. We find that T3 qualitatively resembles the corresponding hierarchical amplitude for the density field, S3, in that it contains a term proportional to the initial skewness, which decays inversely as the linear growth factor, plus a con...