Commonly seen in physics(and statistics) are the concepts of moments of order zero(mass), one(center of mass), and two(moment of inertia). In statistics a third moment (referred to as skewness) also exists and is used. Actually, mathematically the moment can (of order n) be simplified to an operation in the form of:
Once I look at this equation it begs the question: what if n is a ratio. What could be some physical applications of this fractional-order moment?