This article is about the tensor of aIn [[Classical Hamiltonian quaternions|quaternionmathematics]], some thinkers on the subject believe that there is a relationship between the norm of a [[Classical Hamiltonian quaternions|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.
Hi every body, there needs to be an article on the concept that a quaternion has a tensor. I don't think that this discussion should be limited to only 19th century sources like the article classical hamiltonian quaternions. Clearly this is an idea that moves into the 20th century and evolves. The text below needs a lot of work, but after that work is completed I think this may one day grow into a good article.
Hamilton did not, as now claimed, ''define'' a tensor to be "a signless number"; what he actually says is:
