Generalized Spherical Functions of Cubic Symmetry
✍ Scribed by Dr. habil. H. J. Bunge; K. Küttner
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 904 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0232-1300
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✦ Synopsis
Abstract
In the three‐dimensional texture analysis generalized spherical functions of certain symmetries are being used in order to develop the texture function into a series. The lower order members of this series are closely related to the symmetry of physical properties of textured materials whereas the highest order ones allow the series truncation error and hence the angular resolving power to be estimated. These functions have been calculated and represented graphically for the most important cases of cubic‐cubic and cubic‐orthorhombic symmetries for 1 ≦ 10. Additionally some sections of these functions are given for 1 = 22.
📜 SIMILAR VOLUMES
This paper is primarily concerned with extending the results of Brandwein and Strawderman in the usual canonical setting of a general linear model when sampling from a spherically symmetric distribution. When the location parameter belongs to a proper linear subspace of the sampling space, we give a