Search results
Results from the WOW.Com Content Network
Fractal branching of trees. Fractal analysis is assessing fractal characteristics of data.It consists of several methods to assign a fractal dimension and other fractal characteristics to a dataset which may be a theoretical dataset, or a pattern or signal extracted from phenomena including topography, [1] natural geometric objects, ecology and aquatic sciences, [2] sound, market fluctuations ...
Printable version; Page information; ... a fractal cross grid, a fractal square grid and a fractal I grid. Date: ... Version of PDF format: 1.4
Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals. The theory describes dynamical phenomena which occur on objects modelled by fractals. It studies questions such as "how does heat diffuse in a fractal?" and "How does a fractal vibrate?"
F. Fibonacci word fractal; Filled Julia set; Finite subdivision rule; Force chain; Fractal analysis; Fractal antenna; Fractal art; Fractal canopy; Fractal catalytic model
The seven states of randomness in probability theory, fractals and risk analysis are extensions of the concept of randomness as modeled by the normal distribution. These seven states were first introduced by Benoît Mandelbrot in his 1997 book Fractals and Scaling in Finance, which applied fractal analysis to the study of risk and randomness. [1]
The Fractal Dimension of Architecture is a book that applies the mathematical concept of fractal dimension to the analysis of the architecture of buildings.It was written by Michael J. Ostwald and Josephine Vaughan, both of whom are architecture academics at the University of Newcastle (Australia); [1] it was published in 2016 by Birkhäuser, as the first volume in their Mathematics and the ...
The earliest reference to the term in geometry is usually attributed to Benoit Mandelbrot, who, in 1983 or perhaps as early as 1977, introduced it as, in essence, an adjunct to fractal analysis. [4] Lacunarity analysis is now used to characterize patterns in a wide variety of fields and has application in multifractal analysis [ 5 ] [ 6 ] in ...
The image shows D (Q) spectra from a multifractal analysis of binary images of non-, mono-, and multi-fractal sets. As is the case in the sample images, non- and mono-fractals tend to have flatter D (Q) spectra than multifractals. The generalized dimension also gives important specific information.