Purpose – Fractal geometry can be used to model natural objects which cannot be easily represented by the euclidean geometry. However, contemporary computer-aided design (CAD) and computer-aided manufacturing (CAM) systems cannot be used to model a fractal object efficiently. In a general layer manufacturing (LM) workflow, a model described by the euclidean geometry is required in order to gene...

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...

The fractal interpolation theory was used to the research of road surface roughness, and its simulating method was proposed through the piecewise fractal model. The fractal interpolation model was established for the actual road surface roughness, its influential factors and their laws of influencing were also analyzed, and then the model accuracy was confirmed by the fractal parameters and the...

Significant advances have been made on our understanding of the fate and transport of engineered nanomaterials. One unexplored aspect of nanoparticle aggregation is how environmental stimuli such as light exposure and temperature variations affect the mobility of engineered nanoparticles. In this study, TiO(2), ZnO, and CeO(2) were chosen as model materials for investigating the mobility of nan...

We present an extensive study of interfaces defined in the Z4 spin lattice representation of the Ashkin-Teller (AT) model. In particular, we numerically compute the fractal dimensions of boundary and bulk interfaces at the Fateev-Zamolodchikov point. This point is a special point on the self-dual critical line of the AT model and it is described in the continuum limit by the Z4 parafermionic th...

Soil extracellular enzyme activities among aggregate fractions are critical to short-term microbial activity and long–term carbon dynamics in forest ecosystems, but little is known regarding the effects of types on soil different fractions. Three typical subtropical (Broadleaved forest, Moso bamboo Chinese fir forest) were selected, undisturbed samples (0–15 cm) collected. We investigated stabi...

This article is a report on the 5th international workshop devoted to the Fractal component model that took place the 4th of July 2006 in Nantes, France, as an ECOOP workshop. Prior to that, the article provides some background on the Fractal project and previous Fractal workshops for readers who are not familiar with Fractal.

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...

Isothermal kinetics of the exchange absorbed water in a silica hydrogel (SH) with ethanol was examined. The isothermal kinetic curves were measured at temperatures: T = 297, 306 and 316 K. rate analysed as function time. possibility mathematical description by Brouers Sotolongo-Costa?s (BS) fractal?s model Parameter values (n, ?, ?) their changes temperature calculated. By applying method Ozao,...

The nucleotide sequences complexity in chromosome 3 of Caenorhabditis elegans (C. elegans) is studied. The complexity of these sequences is compared with some random sequences. Moreover, by using some parameters related to complexity such as fractal dimension and frequency, indicator matrix is given a first classification of sequences of C. elegans. In particular, the sequences with highest and...