Definition:Lipschitz Quaternion

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Definition

A Lipschitz quaternion is a quaternion whose components are all integers.


The set $\Bbb L$ of all Lipschitz quaternions can therefore be defined as:

$\Bbb L = \left\{{a + b \mathbf i + c \mathbf j + d \mathbf k \in \Bbb H: a, b, c, d \in \Z}\right\}$


Source of Name

This entry was named for Rudolf Lipschitz.


Also see