Abstract
It is shown that the sets of phase angles of a structure which satisfy the tangent formula correspond also to extremal values of a function G = - ⅙ \sum_{\bf h} \, \sum_{\bf k} | EhEkEh - k| cos (ϕk + ϕh - k- ϕh). This fact may simplify the computational implementation of the tangent formula and those of its extensions that can also be formulated as optimization problems.
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