Definition of Fractals

1. Noun. (plural of fractal) ¹

¹ Source: wiktionary.com

Definition of Fractals

1. fractal [n] - See also: fractal

Medical Definition of Fractals

1. Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see nonlinear dynamics) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time. (12 Dec 1998)

Lexicographical Neighbors of Fractals

fractal dimensions
fractal geometry
fractal response time
fractal response times
fractalated
fractalisation
fractality
fractalization
fractalizations
fractalize
fractalized
fractalizes
fractalizing
fractalkine
fractally
fractals (current term)
fracted
fracti
fractile
fractiles
fracting
fraction
fraction I protein
fraction collector
fractional
fractional condensation
fractional crystallization
fractional currency
fractional distillation
fractional dose

Literary usage of Fractals

Below you will find example usage of this term as found in modern and/or classical literature:

1. Geometric Structures in Nonlinear Physics by Robert Hermann (1991)
"fractals AND HEGEL The popularization of such topics as fractals and Chaos should interest historians and sociologists of ..."

2. Generation of Multi-Resolution Maps by Jonas Persson (1993)
"4.3 fractals When measuring the length of a coastline and other natural formations ... This attaches to the theory of fractals [Burrough 1986, pp 122-128; ..."

3. Information Engineering: Identification of Influential Technologies, Impact by Uday Phadke, Paul Ormerod, Christopher Coggill, Kaush Kotak (1997)
"The main advantages of fractals are as follows: • device independent; • hardware compression can be ... Figure 5.13. compares fractals vs JPEG compression. ..."

4. Heave-Ho: Phase Two by Gyeorgos Ceres Hatonn (1994)
"So the scientists come up with another input--called “fractals”. ... fractals fractals comprise another phenomenon that arises in nonlinear systems. ..."

5. Profiting from Chaos: Using Chaos Theory for Market Timing, Stock Selection by Tonis Vaga (1994)
"fractals come in both deterministic and statistical forms. ... Random fractals deal with probabilities and in particular the structure of the fat tails on ..."

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