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[[Image:Gottfried Wilhelm von Leibniz.jpg|thumb|200px|right|''[[Gottfried Wilhelm Leibniz]]'' Inventor of [[infinitesimal calculus]] ]]
In [[non-standard analysis]], the '''standard part function''' "st" is the key ingredient in [[Abraham Robinson]]'s resolution of the paradox of Leibniz's definition (see [[Ghosts of departed quantities]]) of the derivative as the ratio of two infinitesimals
:<math>\frac{dy}{dx}</math>,
see more at [[non-standard calculus]].