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https://issues.apache.org/jira/browse/MATH-863?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13460304#comment-13460304
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Luc Maisonobe commented on MATH-863:
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Wouldn't it be better to stick with multiply as the method name and have 
Quaternion implement the FiledElement interface?

In this case, a (very simple) QuaternionField companion class should be needed. 
This would allow using Quaternion instances as elements to some of the linear 
algebra methods (like LU decomposition and solver).

As Julien mentioned he wanted to have the pure mathematical object, it makes 
sense to complete the job.
                
> new Quaternion class added in complex package
> ---------------------------------------------
>
>                 Key: MATH-863
>                 URL: https://issues.apache.org/jira/browse/MATH-863
>             Project: Commons Math
>          Issue Type: New Feature
>    Affects Versions: 3.1
>            Reporter: Julien Anxionnat
>         Attachments: quaternion.patch, quaternion_v2.patch
>
>   Original Estimate: 0h
>  Remaining Estimate: 0h
>
> This patch provides a new class for the mathematical object "Quaternion" in 
> the complex package.
> This quaternion is considered as a mathematical object (the Hamilton's 
> hypercomplex number).
> Note that it's not a rotation quaternion which has to be a quaternion of norm 
> one. Although this feature could be used for a getter in the Rotation class.
> This patch provides also some improvements in Precision class : a "double 
> comparison epsilon" and a method to compute relative comparison.
> (Please, note that's it's my first contribution, and I apologize in advance 
> for my mistakes…) 

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