Standard part function: Difference between revisions

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==Definition==

In nonstandard analysis deals primarily with the [[hyperreal number|hyperreal]] line, is an extension of the real line that allows for infinitely small quantities. In the hyperreal line every real number has a collection of numbers (called a ([[monad (mathematics)|monad]]) of hyperreals infinitely close to it. The standard part function associates to a [[Wikt:finite|finite]] [[hyperreal number|hyperreal]] ''x'', the unique standard real number ''x₀'' which infinitely close to it. In relationship is expressed symbolically by writting

:<math>\,\mathrm{st}(x)=x_0</math>.