Sentences with phrase «fractal dimension»

Fractal dimension refers to a measurement that helps us understand the intricacy or complexity of a shape. It goes beyond regular measurements like length, width, or height, but instead focuses on how much detail is present at different scales. A higher fractal dimension indicates a shape with more intricate patterns and smaller details, while a lower fractal dimension represents a simpler, smoother shape. It helps us describe natural and man-made structures such as coastlines, trees, clouds, and even financial markets. Full definition
His 1948 Number 14 has a coastline - like dimension of 1.45, while his later paintings had successively higher fractal dimensions and accordingly more elaborate patterns.
Has drawn the interest of mathematicians, who note its unusually complex fractal dimension.
The food - restricted birds, on average, weighed 13 % less than their well - fed colleagues and had weaker immune systems, which makes fractal dimension an easily recognizable sign of a potential mate's health and vitality, the researchers contend.
When scientists restricted the food of red - legged partridges (Alectoris rufa, inset), the feather patterns (details in main image) on their chests had a lower fractal dimension than those sported by their well - fed colleagues, they report online today in the Proceedings of the Royal Society B.
Using images fed into software, the team found that red - legged partridges with a more gradual transition between the plain and spotted areas of their bib have a higher fractal dimension (FD)-- a measure of a pattern's complexity.
In a new study, researchers find that a single number that describes the complexity of those configurations, a parameter called the fractal dimension, is linked to whether a bird has a strong immune system or is malnourished.
In support of their hypothesis they found agreement not only for the fragment size distribution, but also for two other important indicators — the fractal dimension and the length distribution of fragment edges.
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One of his last works, Blue Poles, took six months to create, and has the fractal dimension of 1.72.
The drip painting works of the modern artist Jackson Pollock are similarly distinctive in their fractal dimension.
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