All 11 Uses of

resolution
in
Jane Eyre

At Lowood, indeed, I took that resolution, kept it, and succeeded in pleasing; but with Mrs. Reed, I remember my best was always spurned with scorn.†
p. 112.9 *

It seems to me, that if you tried hard, you would in time find it possible to become what you yourself would approve; and that if from this day you began with resolution to correct your thoughts and actions, you would in a few years have laid up a new and stainless store of recollections, to which you might revert with pleasure.†
p. 161.4

She told me one evening, when more disposed to be communicative than usual, that John's conduct, and the threatened ruin of the family, had been a source of profound affliction to her: but she had now, she said, settled her mind, and formed her resolution.†
p. 270.9

I neither expressed surprise at this resolution nor attempted to dissuade her from it.†
p. 279.4

I wrestled with my own resolution: I wanted to be weak that I might avoid the awful passage of further suffering I saw laid out for me; and Conscience, turned tyrant, held Passion by the throat, told her tauntingly, she had yet but dipped her dainty foot in the slough, and swore that with that arm of iron he would thrust her down to unsounded depths of agony.†
p. 343.4

Well, Jane, being so, it was his resolution to keep the property together; he could not bear the idea of dividing his estate and leaving me a fair portion: all, he resolved, should go to my brother, Rowland.†
p. 351.7

This was cowardly: I should have appealed to your nobleness and magnanimity at first, as I do now — opened to you plainly my life of agony — described to you my hunger and thirst after a higher and worthier existence — shown to you, not my RESOLUTION (that word is weak), but my resistless BENT to love faithfully and well, where I am faithfully and well loved in return.†
p. 363.6

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)
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."