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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.