Quasi-polynomial - Examples

Examples

  • Given a d-dimensional polytope P with rational vertices, define tP to be the convex hull of . The function is a quasi-polynomial in t of degree d. In this case, L(P,t) is a function . This is known as the Ehrhart quasi-polynomial, named after Eugène Ehrhart.
  • Given two quasi-polynomials F and G, the convolution of F and G is

which is a quasi-polynomial with degree

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