Generalized Fractal Dimensions of Compactly Supported Measures on the Negative Axis

Fractal Study on Nuclear Boundary of Cancer Cells in Urinary Smears

  Background & Objectives: Cancer is a serious problem for human being and is becoming a serious problem day-by-day .A prerequisite for any therapeutic modality is early diagnosis. Automated cancer diagnosis by automatic image feature extraction procedures can be used as a feature extraction in the field of fractal dimension. The aim of this survey was to introduce a quantitative and objective...

Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

‎In this paper‎, ‎indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra's population model. The method reduces the solution of this problem to the solution of a system of algebraic equations‎. ‎Volterra's model is a non-linear integro-differential equation where the integral term represents the effect of toxin‎. ‎To solve the pr...

Construction of Compactly Supported Nonseparable Orthogonal Wavelets of L^2(R^n)

Evaluation of fractal properties of different layers sedimentation behind the check dam

In this research, fractal relationships were used to evaluate the particle size distribution of the check dam. Three check dams with height of 2, 2 and 2.6 meters were selected and the hole was drilled same the height of the check dam at the sediment deposits. Then, depending on the color of the deposited layers, the thickness of the layers was determined and sampling was down from each layer t...

Hypercontractivity for Log–subharmonic Functions

We prove strong hypercontractivity (SHC) inequalities for logarithmically subharmonic functions on R and different classes of measures: Gaussian measures on R, symmetric Bernoulli, symmetric uniform probability measures, as well as their convolutions μ1 ∗μ2 if one of the convolved measures is compactly supported. A slightly weaker strong hypercontractivity property holds for any symmetric measu...