Using the group consisting of the eight Möbius transformations x, –x, 1/x, –1/x, (x – 1)/(x + 1), (x + 1)/(1 – x), (x + 1)/(x – 1), and (1 – x)/(x + 1), we present an enumerative proof of the ...
Google’s November 12 Doodle celebrates the quadratic equation, highlighting its mathematical importance and real life ...
This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...