Tensor of a quaternion: Difference between revisions

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That one was to easy, whats the next question to get us out of the clueless club?
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<math>\mathbf{T}q = \frac{\mathbf{T}\alpha}{\mathbf{T}\beta}.</math><ref>[http://books.google.com/books?hl=en&id=fIRAAAAAIAAJ&dq=tensor+vector+quaternion&printsec=frontcover&source=web&ots=DCcK_V6fMH&sig=3I_BdEfdrv8JL81cPIJe9_52fqY&sa=X&oi=book_result&resnum=2&ct=result#PPA162,M1 See all of section 11 Elements of Quaternions Hamilton 1898]</ref>
 
==Bitensors==
 
If Q is a [[Classical_hamiltonian_quaternions#Biquaternion|biquaternion]] then the operation of taking the tensor of a biquaternion returns a bitensor.<ref>[http://books.google.com/books?id=TCwPAAAAIAAJ&printsec=frontcover&dq=bitensor+biquaternion#PRA1-PA665,M1 Hamilton 1853 pg 655-666 Introduction of the term bitensor in conjunction with biquaternion]</ref>
 
<math>\mathbf{T}Q = t + \sqrt{-1}t'</math>
 
Here t and t' are reals.
 
=Applications=