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Line 8: :<math>\,\mathrm{st}(x)=x_0</math>. The standard part of any [[infinitesimal]] is 0. Thus if N is a [[hypernatural]], then (.1)<sup>N</sup> is infinitesimal, and st(.1<sup>N</sup>)=0. The existence of the standard part function is a consequence of the [[completeness of the reals]] or the fact that [[finite]] [[closed interval]]s of the reals are [[compact space\|compact]].

Standard part function: Difference between revisions