On equivalent definition of continuous differentiability
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 39-42.

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Concept of S-differentiable function of some variables are defined. Necessary and sufficient conditions of S-differentiability are proved.
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A. S. Demyshev; V. I. Rodionov. On equivalent definition of continuous differentiability. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 39-42. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a8/