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nonsymmetric

/ˌnɒnsɪˈmɛtrɪk/
adjective
1.
(logic, maths) (of a relation) not symmetric, asymmetric, or antisymmetric; holding between some pairs of arguments x and y and failing to hold for some other pairs when it holds between y and x
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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