necessarily or demonstrably true; "demonstrable truths"
capable of being demonstrated or proved; "obvious lies"; "a demonstrable lack of concern for the general welfare"; "practical truth provable to all men"- Walter Bagehot
characterized by or indicative of distress or affliction or danger or need; "troubled areas"; "fell into a troubled sleep"; "a troubled expression"; "troubled teenagers"
having a bearing on or connection with the subject at issue; "the scientist corresponds with colleagues in order to learn about matters relevant to her own research"