Spin magnetization (source code)

= Spin magnetization
{title2=$M=n^{-1}\sum_{i=1}^n S_i$}

The spin magnetization is the average signed spin of a discrete spin system. For $S_i\in\{-1,1\}$, $k$ positive spins give $M=-1+2k/n$. Multiplying by the magnetic moment per spin and the spin density relates this dimensionless average to physical <magnetization>.