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http://www.nature.com/nphys/journal/v8/n1/full/nphys2190.html
Nature Physics | Review
Between order and chaos
by James P. Crutchfield1,
Nature Physics Volume 8, Pages: 17–24, Year published: (2012)
doi:10.1038/nphys2190
Received 28 October 2011
Accepted 30 November 2011
Published online 22 December 2011
Corrected online 17 May 2013 Corrigendum (June, 2013)
What is a pattern? How do we come to recognize patterns never seen before? Quantifying the notion of pattern and formalizing the process of pattern discovery go right to the heart of physical science. Over the past few decades physics’ view of nature’s lack of structure—its unpredictability—underwent a major renovation with the discovery of deterministic chaos, overthrowing two centuries of Laplace’s strict determinism in classical physics. Behind the veil of apparent randomness, though, many processes are highly ordered, following simple rules. Tools adapted from the theories of information and computation have brought physical science to the brink of automatically discovering hidden patterns and quantifying their structural complexity.
Synchronism: 10:51 "Do you think I got this job through coincidence?" - The Sound Of Drums,
Doctor Who on BBC AMERICA
Randomness is the lack of pattern or predictability in events. A random sequence of events, symbols or steps has no order and does not follow an intelligible pattern or combination. Individual random events are by definition unpredictable, but in many cases the frequency of different outcomes over a large number of events (or "trials") is predictable. - http://wikipedia.org/wiki/Randomness
http://www.nature.com/articles/srep00091
http://web.mit.edu/cocosci/Papers/random.pdf
http://journal.frontiersin.org/article/10.3389/fncom.2014.00049/full
Chaos theory is the field of study in mathematics that studies the behavior and condition of dynamical systems that are highly sensitive to initial conditions—a response popularly referred to as the butterfly effect. - http://wikipedia.org/wiki/Chaos_theory
http://www.nature.com/news/chaos-theory-pioneer-nabs-abel-prize-1.14935
"In maths, 'a good definition is as important as a good theorem.'”
Nature Physics | Review
Between order and chaos
by James P. Crutchfield1,
Nature Physics Volume 8, Pages: 17–24, Year published: (2012)
doi:10.1038/nphys2190
Received 28 October 2011
Accepted 30 November 2011
Published online 22 December 2011
Corrected online 17 May 2013 Corrigendum (June, 2013)
Abstract
What is a pattern? How do we come to recognize patterns never seen before? Quantifying the notion of pattern and formalizing the process of pattern discovery go right to the heart of physical science. Over the past few decades physics’ view of nature’s lack of structure—its unpredictability—underwent a major renovation with the discovery of deterministic chaos, overthrowing two centuries of Laplace’s strict determinism in classical physics. Behind the veil of apparent randomness, though, many processes are highly ordered, following simple rules. Tools adapted from the theories of information and computation have brought physical science to the brink of automatically discovering hidden patterns and quantifying their structural complexity.
Synchronism: 10:51 "Do you think I got this job through coincidence?" - The Sound Of Drums,
Doctor Who on BBC AMERICA
Randomness is the lack of pattern or predictability in events. A random sequence of events, symbols or steps has no order and does not follow an intelligible pattern or combination. Individual random events are by definition unpredictable, but in many cases the frequency of different outcomes over a large number of events (or "trials") is predictable. - http://wikipedia.org/wiki/Randomness
http://www.nature.com/articles/srep00091
http://web.mit.edu/cocosci/Papers/random.pdf
http://journal.frontiersin.org/article/10.3389/fncom.2014.00049/full
Chaos theory is the field of study in mathematics that studies the behavior and condition of dynamical systems that are highly sensitive to initial conditions—a response popularly referred to as the butterfly effect. - http://wikipedia.org/wiki/Chaos_theory
http://www.nature.com/news/chaos-theory-pioneer-nabs-abel-prize-1.14935
"In maths, 'a good definition is as important as a good theorem.'”
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