Pascal's Simplex - Generic Pascal's m-simplex

Generic Pascal's m-simplex

Let m (m > 0) be a number of terms of a polynomial and n (n ≥ 0) be a power the polynomial is raised to.

Let denote a Pascal's m-simplex. Each Pascal's m-simplex is a semi-infinite object, which consists of an infinite series of its components.

Let denote its nth component, itself a finite (m − 1)-simplex with the edge length n, with a notational equivalent .

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