Boltzmann formally defined the idea that entropy arises for statistical reasons alone with the following equation: Ω = –∫∫∫∫∫∫ f(x,y,z,u,v,w)lnf(x,y,z,u,v,w)dxdydzdudvdw In later years, Boltzmann’s intellectual successors, by the adroit use of symbols, shortened his original to: S = klnW Now considered one of the foundational statements of physics, this formulation is inscribed on Boltzmann’s grave in Vienna.
