From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When ...

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 ...

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 ...