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Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao
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What's new | Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao What's new Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao Home About Career advice On writing Books Applets Subscribe to feed Bounding sums or integrals of non-negative quantities 30 September, 2023 in math.CA , tricks | Tags: asymptotic notation , asymptotics , estimation | by Terence Tao | 5 comments A common task in analysis is to obtain bounds on sums or integrals where is some simple region (such as an interval) in one or more dimensions, and is an explicit (and elementary ) non-negative expression involving one or more variables (such as or , and possibly also some additional parameters. Often, one would be content with an order of magnitude upper bound such as or where we use (or or ) to denote the bound f...
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