The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...

In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...

This work presents a method for optimum design of structures, where the design variables can he considered as Continuous or discrete. The variables are chosen as sizing variables as well as coordinates of joints. The main idea is to reduce the number of structural analyses and the overal cost of optimization. In each design cycle, first the structural response quantities such as forces, displac...

We introduce a many-body theory for thermal far-field emission of dipolar dielectric and metallic nanoparticles in the vicinity substrate within framework fluctuational electrodynamics. Our theoretical model includes possibility to define temperatures each nanoparticle, temperature, temperature background radiation, separately. To demonstrate versatility our method, we apply it an exemplary way...

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...

A single-dipole model and a two-dipole model have been examined to approximate the electrical activity of heart; positions as well as vector components of these dipoles were estimated from the body surface potential distribution that was measured with 64 electrodes arranged on the chest. The "residue" has been defined as a measure for how much potential component is left that cannot be attribut...

By means of the least square method, the motion of an equivalent electric dipole which simulates electric activity of the heart was traced from body surface potentials. In normal case, this equivalent dipole was a good approximation.

We present the computation of effective refractive coefficients for inhomogeneous two-component grains with 3 kinds of inclusions with mincl = 3.0 + 4.0i, 2.0 + 1.0i, 2.5 + 0.0001i and a matrix with mm = 1.33 + 0.01i for 11 volume fractions of inclusions from 0% to 50% and wavelengths λ=0.5, 1.0, 2.0 and 5.0 μm. The coefficients of extinction for these grains have been computed using a discrete...

Absence of test oracles is the grand challenge for testing complex scientific software. Metamorphic testing is the novel technique for developing test oracles on metamorphic relations. Although it is easy to find metamorphic relations based on general guidelines and domain knowledge, the ones that can adequately test the software are difficult to be developed. This paper introduces a machine le...