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Even his earliest "finished" music, a setting of John Donne's darker sonnets at the age of 18, was something, he told a girlfriend, "that I owe to GOD [for] what he has given me".
Given the sequence S = {j 1, j 2, …, j |JS|} and its ith task j i, S ensures that the Map step of j i starts after all Map steps of j k (1 ≤ k < i) finish, i.e., the earliest finished time of the Map step of j i is ∑ k ∈ [1,i] TC m (j k ).
Assuming that j new can be inserted into one location in [i + 1, n + 1], according to the proposed scheduling strategy, we have that the earliest finished time of j new is equal to or larger than TC m (j new) + COT m (j i ) + TC r (j new).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com