Application of the Aleph partial derivative to a function of two variables.
by
Sergio Falcon
Department of Mathematics of the University of Las Plams de G.C.

From the generalized increment of a function z(x) we find its Aleph derivative with respect to the generating functions [f(x), g(x)] as a[z(x)]=\frac{z'(x)-g(x)z(x)}f(x) In this paper we study the application of the Aleph partial derivative to a function of two variables, its properties and the Aleph total derivative. Later, we find the Taylor-Aleph's expansion of a function and the mean value theorem in Aleph sense. Next, we apply the Aleph derivation to the implicit functions and systems and finding the relations between the Aleph Jacobian and the Jacobian in classical sense. We finalize this paper with the change of variables in an Aleph Jacobian and its expression in modified coordinates, particularly in polar coordinates.

Date received: March 21, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-08.