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Welcome to Ben’s note. The purpose of this website is to write down some fun math facts.
Hope you enjoy them :)
This document starts with the definition of inner product, and contains several problems, after doing them, Cauchy-Schwarz inequality is proved. ...
In this article, we use the Minkowski theorem to prove every positive integer can be written in the form a^2+b^2+c^2+d^2. ...