What do you call a_ji in relation to a_ij

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Is there an accepted term for the symmetric counterpart of a matrix element? Tried searching the web but didn't really seem to find such a term mentioned anywhere.
 
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I don't know of one -- and you have probably searched more efficiently than I have -- so perhaps the community hasn't found it worthwhile to give this goody a separate name ?
 
Thanks for the help anyway. Just wanted to be sure there isn't a commonly use term for it.