Definition, Betydelse, Synonymer & Anagram | Engelska ordet FRACTAL

Definition av FRACTAL

1. (matematik) fraktal
2. (matematik, även utvidgat) fraktal; vars form uppvisar likformighet mellan detaljer och en större del

Exempel på hur man kan använda FRACTAL i en mening

• He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature.
• In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.
• In mathematics, Hausdorff dimension is a measure of roughness, or more specifically, fractal dimension, that was introduced in 1918 by mathematician Felix Hausdorff.
• Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve.
• This first practical fractal compression system for digital images resembles a vector quantization system using the image itself as the codebook.
• The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described.
• Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media.
• A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the effective length, or increase the perimeter (on inside sections or the outer structure), of material that can receive or transmit electromagnetic radiation within a given total surface area or volume.
• Fractal algorithms convert these parts into mathematical data called "fractal codes" which are used to recreate the encoded image.
• A fractal landscape or fractal surface is generated using a stochastic algorithm designed to produce fractal behavior that mimics the appearance of natural terrain.
• An attractor can be a point, a finite set of points, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor (see strange attractor below).
• Niels Fabian Helge von Koch (25 January 1870 – 11 March 1924) was a Swedish mathematician who gave his name to the famous fractal known as the Koch snowflake, one of the earliest fractal curves to be described.
• In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve.
• In fact, one gets a discrete fractal, that is, a set which exhibits stochastic self-similarity on large scales.
• It is easy to establish this result for polygons, but the problem came in generalizing it to all kinds of badly behaved curves, which include nowhere differentiable curves, such as the Koch snowflake and other fractal curves, or even a Jordan curve of positive area constructed by.
• It is also a measure of the space-filling capacity of a pattern, and it tells how a fractal scales differently, in a fractal (non-integer) dimension.
• It made the Butterfly Effect a household term, introduced the Mandelbrot Set and fractal geometry to a broad audience, and sparked popular interest in the subject, influencing such diverse writers as Tom Stoppard (Arcadia) and Michael Crichton (Jurassic Park).
• The modulus of the Euler function (see there for picture) shows the fractal modular group symmetry and occurs in the study of the interior of the Mandelbrot set.
• Apollonian gasket – a fractal with infinite mutually tangential circles in a circle instead of on a line.
• A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.

Förberedelsen av sidan tog: 87,69 ms.