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Standard part

In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers.



Every finite x ∈ *R is infinitely close to a unique real number r ∈ R . The unique real r ≈ x is called the standard part of x. You write it as

r = st (x)

If x is infinite, st (x) is undefined.



The function was first defined by German-American mathematician Abraham Robinson (1918 - 1974).

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