All 4 Uses

resolution
in
Oliver Twist
(Auto-generated)

'You can say nothing to alter my resolution.†
Chpt 35 *
I will lay at your feet, whatever of station of fortune I may possess; and if you still adhere to your present resolution, will not seek, by word or act, to change it.'†
Chpt 35
Without one pause, or moment's consideration; without once turning his head to the right or left, or raising his eyes to the sky, or lowering them to the ground, but looking straight before him with savage resolution: his teeth so tightly compressed that the strained jaw seemed starting through his skin; the robber held on his headlong course, nor muttered a word, nor relaxed a muscle, until he reached his own door.†
Chpt 47
Suddenly, he took the desperate resolution to going back to London.†
Chpt 48

Definitions:

(1) (resolution as in: a New Year's resolution)
a firm decision to do something
(2) (resolution as in: a United Nations resolution)
a formal statement of decision or opinion voted on by a group

While a resolution typically expresses an opinion and has no legal force, when used in early U.S. history or in the expressions joint resolution of Congress or continuing resolution, it becomes a synonym for legislation (meaning that it carries the force of law).
(3) (resolution as in: Her resolution weakened.)
determination (firmness of purpose)
(4) (resolution as in: resolution of the dispute)
a solution or outcome
(5) (meaning too rare to warrant focus)
Much less commonly, other meanings of resolution include:
- a measure of optic detail -- as in: "The photograph has excellent resolution."
- separation into different parts -- as in: "When force is applied to an inclined plane there is resolution of the force into horizontal and vertical components."
- conversion to something else -- as in: "... resolution of the chord from dissonance (an unstable sound) to consonance (a more stable sound)."
- reduction to or conversion to something else -- as in: "It permits resolution of a URL to an IP address."