We derive the value of H0 using the inverse diameter and magnitude B-band Tully-Fisher relations and the large all-sky sample KLUN (5171 spiral galaxies). Our kinematical model was that of Peebles centered at Virgo. Our calibrator sample consisted of 15 field galaxies with cepheid distance moduli measured mostly with HST. A straightforward application of the inverse relation yielded H0 ≈ 80 km ...

We show that the " time " t s defined via spin clusters in the Ising model coupled to 2d gravity leads to a fractal dimension d h (s) = 6 of space-time at the critical point, as advocated by Ishibashi and Kawai. In the unmagnetized phase, however, this definition of Hausdorff dimension breaks down. Numerical measurements are consistent with these results. The same definition leads to d h (s) = ...

Given two strings X and Y of N and M characters respectively, the Longest Common Sub-sequence (LCS) Problem asks for the longest sequence of (non-contiguous) matches between X and Y. Let LN be the length of a LCS of two random strings of size N. Using extensive Monte Carlo simulations for this problem, we nd a nite size scaling law of the form E(LN)=N = S + AS=(ln N p N) + :::, where S and AS a...

This work results from a fractal image compression based on iterated transforms and machine learning modeling. In this work an improved quasi-losses fractal coding scheme is addressed to preserve the rich features of the medical image as the domain blocks and to generate the remaining part of the image from it based on fractal transformations. Machine learning based model is used for improving ...

A general formulation for the spectral noise S& of random linear resistor networks of arbitrary topology is given. General calculational methods based on Tellegen's theorem are illustrated for oneand two-probe configurations. For self-similar networks, we show the existence of a new exponent b, member of a whole new hierarchy of exponents characterizing the size dependence of the normalized noi...

We study the average number A (n) per site of the number of different configurations of a branched polymer of n bonds on the Given-Mandelbrot family of fractals using exact real-space renormalization. Different members of the family are characterized by an integer parameter b , 2 < or = b < or = infinity . The fractal dimension varies from log(2) 3 to 2 as b is varied from 2 to infinity. We fin...

The scaling of the monomer and island densities, island-size distribution ISD , and capture-number distribution CND as a function of the fraction of occupied sites coverage and ratio Dh /F of the monomer hopping rate Dh to the per site monomer creation rate F are studied for the case of irreversible nucleation and growth of fractal islands in three dimensions d=3 . We note that our model is a t...

Fractals are self-similar structures or patterns that repeat at increasingly fine magnifications. Research has revealed fractal patterns in many natural and physiological processes. This article investigates pupillary size over time to determine if their oscillations demonstrate a fractal pattern. We predict that pupil size over time will fluctuate in a fractal manner and this may be due to eit...

The aim of this study is to characterize and find the location of geological boundaries in different wells across a reservoir. Automatic detection of the geological boundaries can facilitate the matching of the stratigraphic layers in a reservoir and finally can lead to a correct reservoir rock characterization. Nowadays, the well-to-well correlation with the aim of finding the geological l...

The present paper concretizes the models proposed by S. Ri and N. Secelean. construction of fractal interpolation function (FIF) considering finite systems consisting Rakotch contractions, but produced no concretization model. Secelean considered countable Banach contractions to produce function. Based on abovementioned results, in this paper, we propose two different algorithms functions both ...