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    This old question just got bumped to the home page. And this answer has so many things wrong with it, I hardly know where to begin. First, \displaystyle and \textstyle are declarations. Their effect lasts until the end of the current group, end of formula, or next explicit style change. So redefining \sum in the way of this answer is quite counterproductive. Look to this answer for a much better explanation. And read the comments on the question above for the typographical issues and why this is generally a bad idea. Commented Jul 29, 2018 at 19:45