General Mathematics

    

Extending du Bois-Reymond’s Infinitesimal and Infinitary Calculus Theory Part 2 the Much Greater Than Relations

Authors: Chelton D. Evans, William K. Pattinson

An infinitesimal and infinitary number system the Gossamer numbers is fitted to du Bois-Reymond’s infinitary calculus, redefining the magnitude relations. We connect the past symbol relations much-less-than and much-less-than or equal to with the present little-o and big-O notation, which have identical definitions. As these definitions are extended, hence we also extend little-o and big-O, which are defined in Gossamer numbers. Notation for an reformed infinitary calculus, calculation at a point is developed. We proceed with the introduction of an extended infinitary calculus.

Comments: 18 Pages.

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[v1] 2015-02-15 07:58:51

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