We derive a new lower bound p c > 0:8107 for the critical value of Mandelbrot's dyadic fractal percolation model. This is achieved by taking the random fractal set (to be denoted A 1) and adding to it a countable number of straight line segments, chosen in a certain (non-random) way as to simplify greatly the connectivity structure. We denote the modiied model thus obtained by C 1 , and write C...

The carbon content of transparent exopolymeric particles (TEP) was measured in the laboratory in particles produced by bubbling exudates of the dlaton~ Thalassiosira weissflogij, grown under nitrogen non-limited conditions (N:P = 7). The carbon content of these parhcles ( R P C ) appears to vary as a function of their size according to TEP-C = 0.25 X 10-= r255 (pg C TEP-I), where r is the equiv...

During the last decades several learning algorithms have been proposed to learn probability distributions based on decomposable models. Some of these algorithms can be used to search for a maximum likelihood decomposable model with a given maximum clique size, k. Unfortunately, the problem of learning a maximum likelihood decomposable model given a maximum clique size is NP-hard for k > 2. In t...

The paper presents a novel interactive application created in the C# programming language under the Microsoft Visual Studio environment: its introduction, theoretical grounds and application. The application allows generating two-dimensional fractals defined by iterated function systems and performing their arbitrary affine transformation. Most importantly, this transformations are easily contr...

Mineral resource classification is an important step in mineral exploration and mining engineering. In this study, copper molybdenum resources were classified using a combination of the Turning Bands Simulation (TBSIM) Concentration–Volume (C–V) fractal model based on Conditional Coefficient Variation (CCV) for Cu realizations Masjed Daghi porphyry deposit, NW Iran. research, 100 scenarios loca...

Aerial photography was conducted in the high Arctic Ocean during a Chinese research expedition in summer 2010. By partitioning the images into three distinct surface categories (sea ice/ snow, water and melt ponds), the areal fraction of each category, ice concentration and the size and geometry of individual melt ponds, are determined with high-spatial resolution. The ice concentration and mel...

The purpose of this study is to identify the enriched zones of Cu, Mo and Re in Nowchun Mo-Cu porphyry deposit (SE Iran) based on subsurface data and using of concentration–volume (C–V) fractal model. The C-V model illustrates four and five geochemical zones based on Mo and Cu distributions respectively and there are three geochemical populations for Re. The main mineralization for Mo, Cu and R...

A long standing approximation in EM logging for fractures has been to assume that a fracture is an extended thin sheet, perhaps a half-plane. This approximation can be useful and is theoretically and numerically convenient. However, examination of core, FMS logs, and outcrop reveals that fracture zones can be geometrically self-similar over dimensional scales of less than millimeters to kilomet...

Abstract Aims Data on the decomposition of fine roots are scarce for Mediterranean basin. This work aims to compare chemical traits, rate, and temperature sensitivity ( Q 10) root leaf litter 43 species. Methods We carried out a two-years litterbag experiment using types incubated in laboratory conditions at three different temperatures, i.e. 4 °C, 14 24 °C. Litter was characterized carbon (C),...