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The simplest is an extension of an idea that Isaac Newton himself had, which uses approximations to the non-linear equations to find their solutions.
ECONOMIST: Fuzzy logic
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Many would defend utility theory (as well as other aspects of their standard model of behaviour) as a useful approximation, pointing out that exceptions to approximations can always be found.
ECONOMIST: News from the lab
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Casting aside the usual prohibition on wearing shorts in Manhattan (this is one way we pick out tourists), six colleagues and I switched into our best approximations of camping dress and dove through my office full of outdoor gear to find anything that would help us stay cool.
FORBES: Goes Camping on the Roof
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Otherwise I might laugh at the idea that a compressed recording of a singing bowl could even begin to compare to the sonic vibrations that are meant to guide my focus away from the busy-ness of everyday approximations of reality and back toward the precise experience of the present.
FORBES: Spiritual Smartphone App Makes Meditation Social
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Forbes is turning to robot journalists, employing new software that mines data of various sorts and turns it into electronic approximations of the scribbler's art.
WSJ: We Can All Have a Slice of Pi | Postmodern Times by Eric Felten