In this paper a family of weighted fractal networks, in which the weights of edges have been assigned to different values with certain scale, are studied. For the case of the weighted fractal networks the definition of modified box dimension is introduced, and a rigorous proof for its existence is given. Then, the modified box dimension depending on the weighted factor and the number of copies ...

background:  nowadays mri examinations have been widely used in clinical applications for many diagnoses. the use of contrast agent in mri improves lesion detection and characterization and causes more accurate diagnosis.  objectives: the aim of this study was comparing to optimal dose of magnevist contrast agent in modified t1w se (spin echo), t1w fse (fast spin echo) and t1w gre (gradient ech...

This paper deals with the mathematical method for extracting Exponential Rayleighh distribution based on mixed between cumulative function of and Rayleigh using an application (maximum), as well derived different statistical properties distribution, present a structure new modified weighted version Azzalini’s (1985) named Modified Weighted such that this is generalization provide some special m...

In this paper, we obtain respectively some new linear bases of free unitary (modified) weighted differential algebras and nonunitary Rota-Baxter algebras, in terms the method Gr\"{o}bner-Shirshov bases.

JSM, Denver, 4 August 2008 – 3 / 23 We observe a univariate random sample Y1, . . . , Yn from a density g, where Yi = Xi + Zi (i = 1, . . . , n). Here X1, . . . , Xn are independent and identically distributed with unknown continuous density f , and the measurement errors Z1, . . . , Zn form a random sample from the continuous density η which we assume to be known. Our goal is to obtain a nonpa...

Abstract: In the this paper, the authors propose to estimate the density of a targeted population with a weighted kernel density estimator (wKDE) based on a weighted sample. Bandwidth selection for wKDE is discussed. Three mean integrated squared error based bandwidth estimators are introduced and their performance is illustrated via Monte Carlo simulation. The least-squares cross-validation me...

Clustering is a task of grouping data based on similarity. A popular k-means algorithm groups data by firstly assigning all data points to the closest clusters, then determining the cluster means. The algorithm repeats these two steps until it has converged. We propose a variation called weighted k-means to improve the clustering scalability. To speed up the clustering process, we develop the r...

The structure of fluids confined by planar walls is studied using density functional theory. The density functional used is a generalized form of the hypernetted chain (HNC) functional which contains a term third order in the density. This term is chosen to ensure that the modified density functional gives the correct bulk pressure. The proposed density functional applied to a Lennard-Jones...