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I've posted an answer on M.SEM.SE.
I've posted an answer on M.SE.
I've posted an answer here:on http://math.stackexchangeM.com/questions/219265/equivalent-definiton-of-castelnuovo-mumford-regularity/219302#219302SE
(Sorry, but I still can't post comments.)
I've posted an answer here: http://math.stackexchange.com/questions/219265/equivalent-definiton-of-castelnuovo-mumford-regularity/219302#219302