All 5 Uses

resolve
in
The Bridge of San Luis Rey
(Edited)

And on that instant Brother Juniper made the resolve to inquire into the secret lives of those five persons, that moment falling through the air, and to surprise the reason of their taking off.
Chpt 1

resolve = decide; or decision
Now that you are better, I beg of you, resolve that when the first warning of a cold comes you will steam yourself well and go to bed.
Chpt 2
...and that his wife is wearing a gold chain? I resolved that only that chain would do.
Chpt 2

resolved = decided
She resolved to write a letter to the Abbess.
Chpt 2 *
And so saying he resolved to expose this conspiracy of the stone-cutters.
Chpt 5

Definitions:

(1) (resolve as in: I resolved to stop drinking.)
to decide -- typically a firm or formal decision

In modern writing resolve is typically used to emphasize a firm or formal decision. In classic literature, it is used more frequently and often simply replaces decide or determine.
(2) (resolve as in: This committee hereby resolves...)
make a decision or voice an opinion by formal group vote
(3) (resolve as in: Her resolve weakened.)
firmness of purpose (strong determination to do something)
(4) (resolve as in: How was the problem resolved?)
to solve a problem, settle a disagreement, or for a situation to change
(5) (meaning too rare to warrant focus)
Less commonly, resolve can mean:
- to make clearly visible -- as in "The microscope cannot resolve that level of detail."
- to divide into parts -- as in "The problem resolves into three parts,"or (math) "Resolve the polynomial into factors," or (chemistry) "As the temperature changes, the compound resolves into its component parts," or (physics) "The force on the inclined plane resolves into horizontal and vertical components."
- reduce or convert into something else -- as in "The URL is resolved to an IP address," or (music) "The progression is resolved as the dissonance is replaced by consonance."