Diaphony, a measure of uniform distribution, and the Patterson function | Zendy

Hornfeck Wolfgang | Zendy; Kuhn Philipp | Zendy

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Diaphony, a measure of uniform distribution, and the Patterson function

Author(s) -

Hornfeck Wolfgang,

Kuhn Philipp

Publication year - 2015

Publication title -

acta crystallographica section a

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.742

H-Index - 83

ISSN - 2053-2733

DOI - 10.1107/s2053273315007123

Subject(s) - measure (data warehouse) , fourier transform , distribution function , lattice (music) , mathematics , distribution (mathematics) , function (biology) , point (geometry) , mathematical analysis , statistical physics , physics , computer science , geometry , thermodynamics , data mining , evolutionary biology , biology , acoustics

This paper reviews the number‐theoretic concept of diaphony , a measure of uniform distribution for number sequences and point sets based on a Fourier theory approach, and its relation to crystallographic concepts like the largest interplanar spacing of a lattice, the structure‐factor equation and the Patterson function.

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