Her 'New Year's resolution' [=her promise to do something differently in the new year] is to exercise regularly.
The assembly passed a 'resolution' calling for the university president to step down.
He made a 'resolution' to lose weight. [=he resolved to lose weight]
(..) it's still a couple of hours until my bedtime. What did you have in mind? You look amazing. I mean, this resolution is remarkable. I really had to go home for this? Yes, but it's like you're right here in the room. And yet, I'm not. (..)2016 TvShow: The Big Bang Theory Title: The Solder Excursion Diversion Season: 9 Episode 19
(..) (gasps) Jeepers creepers, that started up fast! I thought you might like it. Look at the K resolution. Next time we Skype, I'm gonna count all those nostril hairs. Or you could just look into my eyes. (..)2016 TvShow: The Big Bang Theory Title: The Solder Excursion Diversion Season: 9 Episode 19