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mandelbrot set

 

Definitions from WordNet

Noun mandelbrot set has 1 sense
  1. Mandelbrot set - a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration
    --1 is a kind of
    set

Definitions from the Web

Mandelbrot Set

The Mandelbrot Set is a famous mathematical fractal that exhibits an intricate and infinitely complex pattern. It is named after the French-American mathematician Benoit Mandelbrot, who discovered and studied it in the 1970s.

Usage:

Popular Sense:

In popular culture, the Mandelbrot Set is often depicted as a visually stunning image showcasing its infinite detail and self-replicating structure. It has captivated mathematicians, scientists, and artists alike, inspiring creativity and exploration.

Sample Sentence: The Mandelbrot Set is often referred to as the "thumbprint of God" due to its intricate and infinite nature.

Local Sense:

In the field of mathematics, the Mandelbrot Set is defined as the set of complex numbers for which a particular mathematical expression does not diverge to infinity. It is a set of points on a complex plane that satisfy specific criteria.

Sample Sentence: Mathematicians study the boundaries and patterns within the Mandelbrot Set to understand the complex behavior of its constituent points.

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