I am analysing electricity consumption by checking firstly if the demand (say beta) is greater than a certain constant limit (baseline, say alpha) for every hour of the year, and then summing this difference (beta - alpha) each hour over a day for those hours greater than the baseline (ignoring hours where beta < alpha). There may be e.g. 10 days in the year where the consumption exceeds the baseline and I would like to represent the largest of these summations. Is there notation for describing the maximum value of this daily summation?
notation for summation of subsets of time data
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notation