Resolving the discrete ambiguities in amplitude determinations

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Abstract
Necessary and sufficient criteria are presented for eliminating discrete ambiguities in the determination of reaction amplitudes from the bilinear products of amplitudes that are measured in experiments. In terms of a geometrical analog, the criteria require closed loop diagrams with an odd number of broken lines and an odd number of solid lines. The results are applicable to the general mathematical problems of solving a set of simultaneous bilinear algebraic equations for several unknowns.