All 10 Uses of

resolution
in
Wuthering Heights

He little imagined how my heart warmed towards him when I beheld his black eyes withdraw so suspiciously under their brows, as I rode up, and when his fingers sheltered themselves, with a jealous resolution, still further in his waistcoat, as I announced my name.†
p. 1.3

Edgar persevered in his resolution as far as the court; there he lingered.†
p. 51.4

In this self-complacent conviction she departed; and the success of her fulfilled resolution was obvious on the morrow: Mr. Linton had not only abjured his peevishness (though his spirits seemed still subdued by Catherine's exuberance of vivacity), but he ventured no objection to her taking Isabella with her to Wuthering Heights in the afternoon; and she rewarded him with such a summer of sweetness and affection in return as made the house a paradise for several days; both master and servants profiting from the perpetual sunshine.†
p. 72.5

I was endeavouring to gather resolution for entering and taking possession, when my fool of a guide announced, — 'This here is t' maister's.'†
p. 104.8

He would have risen, and unfixed her fingers by the act — she clung fast, gasping: there was mad resolution in her face.†
p. 118.5 *

I've formed my resolution, and by God I'll execute it!" cried the desperate being.†
p. 128.1

He was so obstinate in his resolution, that Heathcliff deemed it expedient to compel from my lips a recapitulation of what had taken place; standing over me, heaving with malevolence, as I reluctantly delivered the account in answer to his questions.†
p. 130.3

'But deeds must prove it also; and after he is well, remember you don't forget resolutions formed in the hour of fear.'†
p. 168.8 *

But it was so miserable going to bed and getting up, and never hearing anything about him, that my resolution melted into air before it was properly formed.†
p. 184.2

She stepped close up; her black eyes flashing with passion and resolution.†
p. 196.4

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."