(verb)
to become clearer or more easily-distinguished or understandable, or to make something clearer, more distinctive, or easier to understand;
e.g. On closer examination, the lights resolve themselves into reflecting surfaces.
(verb)
to subside, heal, or reduce in severity, or to cause something to subside or heal, used to describe some medical symptoms or condition;
e.g. The doctor said that his symptoms would resolve within a week.
(verb)
to arrive at or make a firm and determined decision about something, especially some course of action that one is going to take;
e.g. They need to resolve to finish the task tomorrow, or else we will be behind schedule.
(verb)
to decide or declare something by a formal vote, or to change some decision by this process;
e.g. Both legislative bodies resolve to offer more support to small businesses.
(verb)
to separate, break, or split something into its constituent components or elements, for the purpose of simplification and/or analysis;
e.g. She was able to resolve the equation into simpler terms that were easier to examine.
(noun)
fixedness or determination for some purpose, the state of being resolute;
e.g. They admire her resolve and work ethic, since she is committed to finishing every job well.
(noun)
an official or legal statement/determination to some course of action arrived at by a public meeting or a legislative body;
e.g. They passed on their resolve to the next level of the system so that it could be solidified and made official.