Question: Given a function f : {-1, 1} R the dual of f denoted by ft is defined as f(x,..., n) = -f(-,..., -n). Let
Given a function f : {-1, 1}" R the dual of f denoted by ft is defined as f(x,..., n) = -f(-,..., -n). Let fodd = (f+ft)/2 and feven = (f- ft)/2. (a) (4 points) Compute ft (S) in terms of f(S). (b) (2 points) Show that f = fodd + feven (c) (4 points) Show that fodd = Esc[n].|S| odd f(S) and feven = Esc[r].|S| YE even F(S).
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The text in the image provides a mathematical problem that involves a function f 1 1n ightarrow mathbbR and its dual hatf defined as hatfmathbfx fx1 xn It also defines fodd and feven as the average an... View full answer
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