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What is chaos theory?

What is chaos theory? Here are some definitions.

Noun
  1. (mathematics) The study of iterative non-linear systems in which arbitrarily small variations in initial conditions become magnified over time.
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In a more advanced understanding of social realities-such as inspired by chaos theory conceptions-this has all fundamentally changed.
That the tiniest thing can sometimes decide the future course of events is not a discovery exclusive to chaos theory.
Another way the film startles is its highfalutin talk about prime numbers, chaos theory and French post-impressionist painters.
And so they propose to apply chaos theory to that welter of information in order to find those patterns.
Mathematician benoit Mandelbrot is namedropped on page 49 in a hiccupped discussion of chaos theory.
Yet true to chaos theory, the appearance of non-linearity does not necessarily imply a lack of coherent structures.

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