Question: 1. Prove that, for any structure function , (x) = xi(1i , x) + (1 xi)(0i , x) where (1i , x) = (x1,

1. Prove that, for any structure function φ,

φ(x) = xiφ(1i , x) + (1 − xi)φ(0i , x)

where

(1i , x) = (x1, . . . , xi−1, 1, xi+1, . . . , xn),

(0i , x) = (x1, . . . , xi−1, 0, xi+1, . . . , xn)

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