Keywords: fractal geometry, fractional derivative, fractional Fourier transform, fractional power of a matrix, self similarity, complex partial differential equation, broadband ultrasound, frequency-dependent attenuation, time domain. 1. Backgrounds The rational behind this model is schematically illustrated below: Fractal geometry (irregular soft tissues) → Fractional Fourier transform (freque...

The fractal degree of adsorption on the multi-walled carbon nanotube has been investigated. The fractal-like Langmuir kinetics model has been used to obtain the fractal degree of ion adsorption on multi-walled carbon nanotube. The behavior of the fractal-like kinetics equation was compared with some famous rate equations like Langmuir, pseudo-first-order and pseudo-second-order equations. It is...

objective(s): atherosclerosis is an important risk factor for coronary heart disease. neuropeptide y (npy) and its receptors, located in peripheral tissue such as white adipose tissue, have been linked to obesity and fat storage. the role of npy in atherosclerosis has not yet been fully studied, so this study was conducted to further investigate the effect of biie 0246, an npy receptor antagoni...

The power spectrum S of linear transects of the earth's topography is often observed to be a power-law function of wave number k with exponent close to ?2: S(k) / k ?2. In addition, river networks are fractal trees that satisfy several power-law relationships between their morphologic components. A model equation for the evolution of the earth's topography by erosional processes which produces ...

Fractal image coding is a novel technique for still ima ge c ompression. I n t his paper, a low b it rate r egion-based fractal image compression algorithm i s pr oposed, sev eral techniques ar e i ncluded as follows. First, we improve the performance of quadtree segmentation by adaptive threshold. T hen, a me rging s cheme is e mployed t o t he r esulting quadtree segm entation t hat co mbines...

We present measurements of the fractal dimensions associated to the spin clusters for Z4 and Z5 spin models. We also attempted to measure similar fractal dimensions for the generalised Fortuin Kastelyn (FK) clusters in these models but we discovered that these clusters do not percolate at the critical point of the model under consideration. These results clearly mark a difference in the behavio...

Sewage solids are usually characterized by non-specific parameters such as suspended solids. The suspended solids has been shown to be an inadequate index for advanced water treatment processes. In this study, the sewages solids particle size distribution was used to provide more detailed information on sewage characteristic. It is hoped that, by introducing particle size distribution, the mech...

Model-based diagnostic reasoning often leads to a large number of diagnostic hypotheses. The set of diagnoses can be reduced by taking into account extra observations (passive monitoring), measuring additional variables (probing) or executing additional tests (sequential diagnosis/test sequencing). In this paper we combine the above approaches with techniques from Automated Test Pattern Generat...

Model-based diagnostic reasoning often leads to a large number of diagnostic hypotheses. The set of diagnoses can be reduced by taking into account extra observations (passive diagnosis), measuring additional variables (probing) or executing additional tests (sequential testing/test sequencing). In this paper we combine the above approaches, as well as from Automated Test Pattern Generation (AT...

cation exchange capacity and specific surface area are among some of the important soil characteristics the direct measurement of which is laborious, costly and time consuming. therefore, fractal dimension of particle size distribution has been widely studied in relation with many such dynamic and static processes as transmission of water and solutes, water holding capacity, heat storage and co...