not essential; "the ballet struck me as extraneous and somewhat out of keeping with the rest of the play"
not pertinent to the matter under consideration; "an issue extraneous to the debate"; "the price was immaterial"; "mentioned several impertinent facts before finally coming to the point"
not belonging to that in which it is contained; introduced from an outside source; "water free of extraneous matter"; "foreign particles in milk"
shaped or conditioned or disciplined by training; often used as a combining form; "a trained mind"; "trained pigeons"; "well-trained servants"
having acquired necessary skills by e.g. undergoing a course of study; "a trained nurse"; "a trained voice"; "trained manpower"; "psychologically trained workers"
(used to introduce a logical conclusion) from that fact or reason or as a result; "therefore X must be true"; "the eggs were fresh and hence satisfactory"; "we were young and thence optimistic"; "it is late and thus we must go"; "the witness is biased and so cannot be trusted"