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On an ambiguity in the concept of partial and total derivatives in classical analysis

Andrew E. Chubykalo, Rolando A. Flores, Juan A. Pérez

math.CAarXiv:math/9906079

Abstract

Ambiguity is shown in the context of the differential calculus of several variables and with the help of the language of category theory, a way to solve it in its most general form is offered. It is also shown that this new definition is related to other well-known definitions in the literature.

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