The dynamics of an isolated system of N free particles, each with the mass m i , i=1,2,…,N is completely determined by the collection of their moments (of order 1). Generalizations of this concept opened new ways in applied sciences as well as in mathematics. Interconnections between the moment problem and least squares techniques form the basic idea of orthogonal series, which became an important tool in approximation theory.
KeywordsProbability Density Function Static Moment Legendre Polynomial Equal Mass Moment Problem
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