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Some features of the Lachance‐Traill equation
Author(s) -
Kuczumow A.,
Helsen J. A.
Publication year - 1990
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.1300190607
Subject(s) - homogeneous , connection (principal bundle) , character (mathematics) , surface (topology) , physics , mathematics , mathematical analysis , statistical physics , geometry
All currently known changes in the values of the α coefficients in the Lachance‐Traill equation occurring under the influence of different factors are considered. These factors include the change in composition in connection with the enhancement phenomenon, the change in radious of grains (or lamellae) in a non‐homogeneous environment and the change of angle of the analytical surface slope relative to the ideal flat surface. Changes in the α coefficients are found to be always of hyperbolic character. A new version of the Lachance‐Traill equation has been derived.