In this way we provide an algebraic proof of Cauchy’s theorem for polynomials over any real closed field. As our main tool, we formalize Gauss’ geometric notion of winding number (1799) in the ...

Glowing beacons reveal hidden order in dynamical systems: Experimental confirmation of a fundamental physical theorem Date: October 20, 2011 Source: Ludwig-Maximilians-Universitaet Muenchen (LMU ...