establish the validity of something, as by an example, explanation or experiment VERB
EX. "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture"
find the solution to (a problem or question) or understand the meaning of VERB
EX. "did you solve the problem?"; "Work out your problems with the boss"; "this unpleasant situation isn't going to work itself out"; "did you get it?";
administer or bestow, as in small portions VERB
EX. "administer critical remarks to everyone present"; "dole out some money"; "shell out pocket money for the children"; "deal a blow to someone 管理 regulate