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a's in terms argument column changed coeffi coefficient of sw Complete Symmetric Functions computed conjugate partitions denoted efficients elemen Elementary products Elementary Symmetric Functions equal Example expansion of s3 expressed in terms find the coefficient follows the partition Functions in Terms Gordan's formula greater element integer last column least one coefficient lesser weights line is zero lower weight Math Monomial Symmetric Functions Monthly necessarily zero coefficients notation Note 11 number of elements number of terms partition q follows Pi P2 Pl P2 PlP2 Pn-l power sums problems in expressibility product and quotient product table products of weight Professor Roe quotient table recurrence formula secondary diagonal simplest alternant substitute table of weight tables of coefficients terms of isobaric Terms of s's tition products twelve problems volve Xi K2 Xi X2 X3