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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.
One criticism often laid at the door of chaos theory is that little progress has been made in this discipline after its stunning start.
These are big ifs and you don't have to believe in chaos theory to see that the economic consequences of what happened yesterday could be severe.
When not losing money in seedy gambling dens or making wisecracks about chaos theory, he's shooting heroin.
Another way the film startles is its highfalutin talk about prime numbers, chaos theory and French post-impressionist painters.
We'll have to forgive him for forgetting that it's chaos theory, not catastrophe theory.

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