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Elements of geometric theory for functions of quaternionic variable

✍ Scribed by Sorin G. Gal

Book ID
105703369
Publisher
Springer
Year
2000
Tongue
English
Weight
496 KB
Volume
10
Category
Article
ISSN
0188-7009

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πŸ“œ SIMILAR VOLUMES

Differentiable functions of quaternion v
Differentiable functions of quaternion variables
✍ S.V. LΓΌdkovsky; F. van Oystaeyen πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 French βš– 391 KB

We investigate differentiability of functions defined on regions of the real quaternion field and obtain a noncommutative version of the Cauchy-Riemann conditions. Then we study the noncommutative analog of the Cauchy integral as well as criteria for functions of a quternion variable to be analytic.

Consistent quaternion interpolation for
Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam
✍ S. Ghosh; D. Roy πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 597 KB

We explore an isoparametric interpolation of total quaternion for geometrically consistent, strain-objective and path-independent finite element solutions of the geometrically exact beam. This interpolation is a variant of the broader class known as slerp. The equivalence between the proposed interp