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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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The team includes experts in pattern recognition, geodynamics, seismology, chaos theory, statistical physics and public safety.
In a more advanced understanding of social realities-such as inspired by chaos theory conceptions-this has all fundamentally changed.
And so they propose to apply chaos theory to that welter of information in order to find those patterns.
We'll have to forgive him for forgetting that it's chaos theory, not catastrophe theory.
It is a straightforward popular science treatment of the mathematics and science behind chaos theory.
When not losing money in seedy gambling dens or making wisecracks about chaos theory, he's shooting heroin.

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