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This article is about the tensor of a [[Classical_Hamiltonian_quaternions|quaternion]], some thinkers on the subject believe that there is a relationship between the norm of a quaternion and the tensor of a quaternion. Some writers define the norm of a quaternion as having the same formula as the tensor of a quaternion, while other writers define the norm of a quaternion as the square of the tensor. Hamilton uses the term tensor in two different sences as a [[Classical_Hamiltonian_quaternions#Tensor|positive numerical quantity]] and as an operator that operates on other mathematical entities extracting a tensor quantity from them.
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