Context Urbanization is the most important form of landscape change and is increasingly affecting biodiversity and ecosystem functions. Understanding how landscape patterns change in space and time is central to the evaluation of the environmental impacts ...
Assimilating any nanostructure with a fractal, in the most general Mandelbrot's sense, non - differentiable behaviors in their dynamics on the heat transfer phenomena are analyzed. As such, nanostructure dynamics on the heat transfer in the form of Schrodi ...
Both calculated quantities in the paper, fractal dimension and lacunarity respectively, prove high precision as foreteller to classify the glial cells tissue in various brain morphologies. The importance of microglia in neurodegenerative diseases and the i ...
In the framework of Fractal Theory of Motion for the Scale Relativity Theory with arbitrary and constant fractal dimensions, dynamics in complex systems associated to the fractal-non-fractal transition are analyzed. Working with the assumption that these d ...
A total number of 1092 embryos, originated from 168 couples that underwent IVF cycles, were analyzed in this study. The embryos were cultivated in a continuous culture and monitored using the time lapse system EmbryoScope. The microscopic images of the fer ...
It is proved that the total length of any set of countably many rectifiable curves whose union meets all straight lines that intersect the unit square U is at least 2.00002. This is the first improvement on the lower bound of 2 known since 1964. A similar ...
Eigenmodes are central to the study of resonant phenomena in all areas of physics.
However, their use in nano-optics seems to have been hindered and delayed for various
reasons. First, due to their small size, the response of nanostructures to a far-field
...
The fractal dimension and lacunarity measurements of neuro-images were leveraged to differentiate between benign, biphasic and lacunarity tissue samples. For various benign and malignant subtypes, using the program developed by the authors, the fractal dim ...
In order to develop automatic image-based methods for damage evaluation after earthquakes, crack maps need to be evaluated using computer-based algorithms. A common method to link the crack map to a damage state is to compute the fractal dimension of the c ...