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 ...

High order methods that can solve flows involving interactions of flow-disturbances with shock waves are critical for reliable numerical simulation of strong-shock and turbulence interaction problems. Such problems are not well understood due to limitations of numerical methods. For numerical simulation of compressible flows, shock capturing schemes have been the most popular choice. However, m...

NMR spectroscopy is uniquely suited for atomic resolution studies of biomolecules such as proteins, nucleic acids and metabolites, since detailed information on structure and dynamics are encoded in positions and line shapes of peaks in NMR spectra. Unfortunately, accurate determination of these parameters is often complicated and time consuming, in part due to the need for different software a...

The likelihood calculation of a vast number of particles is the computational bottleneck for the particle filter in applications where the observation information is rich. For fast computing the likelihood of particles, a numerical fitting approach is proposed to construct the Likelihood Probability Density Function (Li-PDF) by using a comparably small number of so-called fulcrums. The likeliho...

The kinetics of molybdenite oxidation was studied by non-isothermal TGA-DTA with heating rate 5 ºC.min-1.The model-fitting kinetic approach applied to TGA data .The Coats-Redfern method used for model fitting. The popular model-fitting gives excellent fit for non-isothermal data in chemically controlled regime. The apparent activation energy was determined to be about 34.2 kcalmo...

Several important aspects of fluorescence decay analysis are addressed and tested against new experimental measurements. A simulated-annealing method is described for deconvoluting the instrument response function from a measured fluorescence decay to yield the true decay, which is more convenient for subsequent fitting. The method is shown to perform well against the conventional approach, whi...

Based on the new theoretical approach and the self-consistent iteration procedure for calculating the limiting values (e(N) and e(0)) of the frequency-dependent permittivity, it becomes possible to recognize the fitting function for the function e(jo) measured for a complex system representing plant tissues of fresh fruits and vegetables in the frequency range (10–1.8 10Hz). The recognized fitt...

Image restoration problems are often solved by finding the minimizer of a suitable objective function. Usually this function consists of a data-fitting term and a regularization term. For the least squares solution, both the data-fitting and the regularization terms are in the 2 norm. In this paper, we consider the least absolute deviation (LAD) solution and the least mixed norm (LMN) solution....

although, most of the abnormal structures of human brain do not alter the shape of outer envelope of brain (surface), some abnormalities can deform the surface extensively. however, this may be a major problem in a surface-based registration technique, since two nearly identical surfaces are required for surface fitting process. a type of verification known as the circularity check for the shap...