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Differentiation of any (Scalar) Power of a Quaternion

Published online by Cambridge University Press:  15 September 2014

Alexander M'Aulay
Alexander M'Aulay
Affiliation:
Ormond College, Melbourne
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Extract

Nowhere, I think, does Hamilton, or any other author, attempt the very fundamental problem of finding the differential of qn where q is a quaternion and n any scalar. It was by noticing an oversight in Tait's Quaternions, § 182, where he considers d.q½, that I was led to a consideration of the subject.

Type
Proceedings 1888-89
Information
Proceedings of the Royal Society of Edinburgh , Volume 16 , 1890 , pp. 201 - 205
Copyright
Copyright © Royal Society of Edinburgh 1889

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References

[* See Note appended.—P. G. T.]