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double sum difference11 1. n : 2. m : 3. f : nm 4. g : nm 5. d : 6. sum(sum(f(x,y)-g(x,y) | y < m) | x < n) = d sum(sum(f(x,y) | y < m) | x < n) = sum(sum(g(x,y) | y < m) | x < n)+d
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Thm*n:, f,g:(n), d:.
Thm* sum(f(x)-g(x) | x < n) = d sum(f(x) | x < n) = sum(g(x) | x < n)+d