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... > mathematical analysis > calculus > sequence > integer sequence > figurate number > Ehrhart polynomial
number > natural numbers > figurate number > Ehrhart polynomial
geometry > geometric figure > polytope > Ehrhart polynomial
mathematical analysis > function > elementary function > polynomial > Ehrhart polynomial
algebra > polynomial > Ehrhart polynomial

Preferred term

Ehrhart polynomial  

Definition

  • In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart polynomials can be seen as a higher-dimensional generalization of Pick's theorem in the Euclidean plane.
    These polynomials are named after Eugène Ehrhart who studied them in the 1960s.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Ehrhart_polynomial)

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http://data.loterre.fr/ark:/67375/PSR-ZXV5K7J2-L

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RDF/XML TURTLE JSON-LD Created 7/28/23, last modified 10/18/24