In the present work, we develop a continuous model based on spline functions, in order to determine the T2 Map in Magnetic Resonance Imaging. The T2 parameter corresponds to the time decay parameter of spin relaxation, which cannot be obtained directly from one image, since it has to be calculated by fitting an exponential decaying functions from series of images. The calculation of the T2 map ...

The downstream distribution of stream power is derived and analysed for 11 different streams in the upper Hunter River catchment, Australia. Stream long profiles were produced in a GIS environment using DEM data and catchment area–discharge analysis. These profiles were analysed using three approaches, namely long profile smoothing, curve fitting and a theoretical model. The methodology for der...

A model is devełoped by extending the generalised form of exponential potential known as extended generalised exponential potential to account for: (a) a realistic realization of interactions in alł separations in general and that of small separations in particular, (b) three-body and electronic effects into the interaction in an alternative and simpler form, (c) a model free from usual fitting...

Exact solution and variational approximation of eigenmodes in high gain FELs are presented. These eigenmodes specifi transverse profiles and exponential growth rates of the laser field before saturation. They are self-consistent-solutions of coupled Maxwell-Vlasov equations describing FEL interaction taking into account the effects due to energy spread, emittance and betatron oscillations of th...

Properties, such as specific heat, viscosity, and thermal conductivity, are important thermophysical properties in any heat transfer study. Today, these properties are known for numerous fluids, however, there are still many fluids which have not been measured, especially those under the classification of refrigerant mixtures. This paper proposes a new approach for simultaneously measuring thes...

The spectrum of masses from a lattice QCD simulation may be found by fitting exponential functions to correlators of operators possessing the quantum numbers of the particles of interest. The ability of evolutionary algorithms to find globally optimized solutions containing a variable number of states across multiple data sets is exploited to provide a promising solution to the problem of findi...

An NMR method is presented for measuring compartment-specific water diffusion coefficient (D) values. It uses relaxography, employing an extracellular contrast reagent (CR) to distinguish intracellular (IC) and extracellular (EC) (1)H(2)O signals by differences in their respective longitudinal (T(1)) relaxation times. A diffusion-weighted inversion-recovery spin-echo (DW-IRSE) pulse sequence wa...

We study I-V characteristics and time dependence of ∆VT under different VGS, temperature stresses and recovery in undoped back-gated Ge nanowire. We show that charge trapping is dominant mechanism of VGS, temperature stress and recovery by fitting measured ∆VT with stretched-exponential equation.

In this paper, we first propose a finite mixture of exponential distribution model with parametric functions. By using the local constant fitting, the local maximum likelihood estimations of parametric functions are obtained, and their asymptotic biases and asymptotic variances are discussed. Moreover, we propose the EM algorithm to carry out the estimation procedure and give the ascent propert...

Although the random sum distribution has been well-studied in probability theory, inference for the mean of such distribution is very limited in the literature. In this paper, two approaches are proposed to obtain inference for the mean of the Poisson-Exponential distribution. Both proposed approaches require the log-likelihood function of the Poisson-Exponential distribution, but the exact for...