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{{Expert|date=March 2009}}
In [[mathematics]], some thinkers{{who}} believe there is a relationship between the norm of a [[Classical Hamiltonian quaternions|quaternion]] and the [[tensor]] of a quaternion. Some writers{{who}} define the norm of a quaternion as having the same formula as the tensor of a quaternion, while other writers{{who}} 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.
Hamilton did not, as now claimed, ''define'' a tensor to be "a signless number"; what he actually says is:
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