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Imagine that someone takes many measurements of a real-world quantity at regular intervals of time, thereby producing a large data set S = {x,x2,...,xN}

Imagine that someone takes many measurements of a real-world quantity at regular intervals of time, thereby producing a large data set S = {x,x2,...,xN} consisting of the values of their measurements, ordered according to the times at which they were taken. After receiving this data, you produce the new data set S' = {y, 92, ..., YN-1}, where yn = Xn+1 En for 1

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