inquire into; "the students had to research the history of the Second World War for their history project"; "He searched for information on his relatives on the web"; "Scientists are exploring the nature of consciousness"
attempt to find out in a systematically and scientific manner; "The student researched the history of that word"
establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture"
prove formally; demonstrate by a mathematical, formal proof
obtain probate of; "prove a will"
take a trial impression of
be shown or be found to be; "She proved to be right"; "The medicine turned out to save her life"; "She turned up HIV positive"