Of a set of vectors, both orthogonal and normalized.(adjective)
Of a linear transformation that preserves both angles and lengths.(adjective)
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Use "orthonormal" in a sentence
"Any collection of N mutually orthogonal vectors of length 1 in an N-dimensional vector space constitutes an orthonormal basis for that space."
"Conversely, every orthonormal basis and every unit vector are understood to correspond to such a measurement and such a state."
"Decoherence seems to yield a (maybe partial) solution to the problem, in that it naturally identifies a class of ˜preferred™ states (not necessarily an orthonormal basis!), and even allows to reidentify them over time, so that one can identify"