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Monad (nonstandard analysis)

Named set of points in nonstandard analysis From Wikipedia, the free encyclopedia

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In nonstandard analysis, a monad or also a halo is the set of points infinitesimally close to a given point.[1][2]

Given a hyperreal number x in R, the monad of x is the set

If x is finite (limited), the unique real number in the monad of x is called the standard part of x.[3]

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