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On the reproducibility of the orientation distribution function of texture samples from pole figures (III). Relationship between the ODF f ( g ) and the reduced ODF f̃ T ( g )
Author(s) -
Matthies S.
Publication year - 1980
Publication title -
kristall und technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0023-4753
DOI - 10.1002/crat.19800150714
Subject(s) - texture (cosmology) , orientation (vector space) , reproducibility , distribution function , pole figure , mathematics , materials science , physics , crystallography , combinatorics , chemistry , geometry , thermodynamics , computer science , image (mathematics) , statistics , artificial intelligence , microstructure
The explicit relationship between the ODF f ( g ) and the reduced ODF f̃T ( g ) is given and discussed. For the general case of fibre textures the f̃T ( g ) ↔ f ( g ) problem does not disappear, but in the special case with G A = D ∞ f̃T ( g ) is identical with f ( g ).

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