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| {{Other uses|Commute (disambiguation){{!}}Commute}}
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| {{expert-subject|Neuroscience|ex2=Mathematics|date=February 2009}}
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| In [[neurophysiology]], '''commutation''' is the process of how the brain's [[Biological neural network|neural circuits]] exhibit non-[[commutativity]].
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| Physiologist Douglas B. Tweed and coworkers consider whether certain neural circuits in the [[brain]] exhibit noncommutativity and state:
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| <blockquote>In [[noncommutative algebra]], order makes a difference to multiplication, so that <math>a\times b\neq b\times a</math>. This feature is necessary for computing [[rotation|rotary]] motion, because order makes a difference to the combined effect of two rotations. It has therefore been proposed that there are non-commutative operators in the brain circuits that deal with rotations, including [[motor system]] circuits that steer the [[human eye|eye]]s, [[head (anatomy)|head]] and limbs, and [[sensory system]] circuits that handle spatial information. This idea is controversial: studies of eye and head control have revealed behaviours that are consistent with non-commutativity in the brain, but none that clearly rules out all commutative models.</blockquote>
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| Tweed goes on to demonstrate non-commutative computation in the [[vestibulo-ocular reflex]] by showing that subjects rotated in darkness can hold their gaze points stable in space - correctly computing different final eye-position commands when put through the same two rotations in different orders, in a way that is unattainable by any commutative system.<ref>Douglas B. Tweed and others, ''[[Nature (journal)|Nature]]'' 399, 261 - 263; 20 May 1999</ref>
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| ==References==
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| {{Reflist}}
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| [[Category:Neurophysiology]]
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| {{neuroscience-stub}}
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Latest revision as of 10:09, 27 December 2014
Golda is what's written on my birth certificate although it is not the title on my birth certificate. My day occupation is a journey agent. One of the very best issues in the world for him is doing ballet and he'll be beginning some thing else along with it. My spouse and I live in Mississippi but now I'm considering other choices.
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