-
COMPLICATED VECTOR PRODUCTS, CONJUGATED VECTORS AND SURFACE DIFFERENTIATION
Popov I.P. 1

1. KGSHA

Abstract:

We introduce the notion of the terms of vector products, which are the first or ortopolozhitelnaya part and the second part or ortootritsatelnaya; further development of this concept is the notion of conjugate vectors, vector differential operator of the surface, the surface gradient, the derivative on the surface, the surface divergence and rotor. Treated surface functions, their surface differentiation and integration. The features of surface functions for which all terms are functions of at least two variables, in addition, surface features have mixed partial derivatives of the second order, with at least one of the mixed partial derivatives of second order of any term does not vanish . We prove a theorem on the restoration of surface features on its surface gradient.

Keywords: vector, operator, surface coordinates, gradient, divergence, rotor, ort, positive, negative.