Back in the 1920s, Theodor Kaluza and Oskar Klein developed an idea that unified Maxwell’s theory of electromagnetism with Einstein’s theory of relativity. That was an impressive feat but it had one ...
Cancer researchers are investigating a new tool to use for the prognosis of breast cancer in patients. The scientists are using fractal dimension analysis to quantitatively assess the degree of ...
People most often see fractals in the familiar, irregular branching shapes of nature -- a leaf, or tree, or snowflake. A repeating pattern of ever-smaller branches gives these structures a unique ...
Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...
Quantum physics is too weird for many people to understand, and part of the weirdness is due to some of its counter-intuitive features. For example, many quantum phenomena are bound by Heisenberg’s ...
The surface metrology expert at Digital Surf, François Blateyron, outlines what Scale-Sensitive Fractal Analysis is and how it is used, as a new SSFA optional module is made available to users of ...
Several recent papers developed and applied a novel approach for the analysis of animal movement paths, based on calculating the paths' fractal dimensions. The estimated fractal dimension is used to ...
From heavenly bodies to human cells, everything in this universe? possesses finite dimensions in three directions in space, namely everything in the real world is three-dimensional, according to ...
COLUMBUS, Ohio – When it comes to miniature electronics, scientists have seen the shape of things to come -- and that shape is a fractal. People most often see fractals in the familiar, irregular ...