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Solutions to dual trigonometric series arefrequently given as double singular integrals, which are not conducive to automatic numerical evaluation. It is suggested that by performing a preliminary Fourier analysis on the data, the double singular integrals can be eliminated, and the solutions reduced to a finite number of precisely specified elementary arithmetic operations. This technique is used to reduce to an algorithm the analytic solution to a dual cosine series which had earlier beendoi:10.1016/0898-1221(75)90018-8 fatcat:6vwyjt5wsjd3xhgcmxruiuk5ai