THE EXCLUSION OF ARBITRARINESS IN RECOVERY OF FUNCTION FROM ITS GRADIENT
A method for restoring function from its gradient, which is based on the summation of indefinite integrals of partial derivatives of functions and eliminates redundant terms is proposed. It is noted that the use of the method for determining the energy of the physical field according to the known force vector field configuration does not limit the task relevance. Given the specific technological research is limited to consideration of the scope of the three-dimensional Euclidean space. It is noted that there are several ways of finding on its gradient function, each of which has its own advantages and disadvantages, among the latter include the need to select a starting point of integration, which is associated with the arbitrariness that can affect a final decision, as well as labor intensive and cumbersome the selection of auxiliary functions. It is shown that the proposed approach is free from the disadvantages of known methods