Puzzle: floor() function
Proof that:
floor(x * n) = floor(x) + floor(x + 1/n) + floor(x + 2/n) + ... + floor(x + (n-1)/n)
Note: x is real, and n is integer.
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Proof that:
floor(x * n) = floor(x) + floor(x + 1/n) + floor(x + 2/n) + ... + floor(x + (n-1)/n)
Note: x is real, and n is integer.