Nowhere continuous function: Difference between revisions

Revision as of 13:44, 17 February 2012

Revision as of 14:08, 19 February 2012

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==Hyperreal characterisation==

A real function ''f'' is nowhere continuous if its natural [[Hyperreal number|hyperreal]] extension has the property that every ''x'' is infinitely close to a ''y'' such that the difference ''f(x)-f(y)'' is appreciable (i.e., not [[infinitesimal]]).

==See also==