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Here, Pellionisz described the analysis of the sensory input into the [[vestibular system|vestibular canals]] as the [[covariance and contravariance of vectors|covariant]] vector component of tensor network theory. Likewise, the synthesized motor response ([[reflex|reflexive]] [[eye movement (sensory)|eye movement]]) is described as the [[covariance and contravariance of vectors|contravariant]] vector component of the theory. By calculating the [[neuronal network]] transformations between the sensory input into the [[vestibular system]] and the subsequent motor response, a [[metric tensor]] representing the [[neuronal network]] was calculated. <ref name="VOR arc">{{cite journal|last=Pellionisz|first=Andras|coauthors=Werner Graf|title=Tensor Network Model of the "Three-Neuron Vestibulo-Ocular Reflex-Arc" in Cat|journal=Journal of Theoretical Neurobiology|date=1986|year=1986|month=October|volume=5|page=127-151|accessdate=November 17, 2013}}</ref>
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