Some notes for functional derivative and infinitesimal of higher order
Qingzheng Zhang
Abstract
Qingzheng Zhang
Abstract
The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.Some application examples of the methods are given as well.This paper also gives the operative property for the infinitesimal of higher order and its application in the Taylor's formula with Peano remainder in finding functional limit.
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The decision methods that the function is derivable in the origin and the simple methods to find a functionl one-sided derivative are given in this paper.Some application examples of the methods are given as well.This paper also gives the operative property for the infinitesimal of higher order and its application in the Taylor's formula with Peano remainder in finding functional limit.
Key concepts: Infinitesimal, Remainder, Peano axioms, Simple (philosophy), Mathematics, Functional derivative, Property (philosophy), Infinitesimal transformation