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The Collaborative International Dictionary
Uni-

Uni- \U"ni-\ [L. unus one. See One.] A prefix signifying one, once; as in uniaxial, unicellular.

Douglas Harper's Etymology Dictionary
uni-

word-forming element meaning "having one only," from Latin uni-, comb. form of unus (see one).

Wiktionary
uni-

pre. one, single