1. Resolve:

   • Noun: Resolve, as a noun, refers to a firm determination or decision to do something. It's the mental or emotional strength to persevere and overcome challenges.

     • Example: "Her resolve to finish the marathon never wavered despite the difficult weather conditions."

   • Verb: As a verb, "resolve" means to make a firm decision or to find a solution to a problem. It's about settling or determining something conclusively.

     • Example: "They were able to resolve their differences through open communication."

2. Resolution:

   • Noun: A resolution is a formal expression of intent, decision, or course of action. It often refers to a decision made at the beginning of a new year, a commitment to change, or a specific goal.

     • Example: "Her New Year's resolution was to start exercising regularly."

   • Concept in Images or Displays: In the context of images or displays, resolution refers to the degree of detail that can be seen in an image. Higher resolution means more detail.

     • Example: "The new television has a high resolution, providing a clearer and more vibrant picture."

In summary, "resolve" is more about personal determination and finding solutions, both as a noun and a verb. "Resolution" often refers to a formal decision or commitment, especially at the beginning of a period like the new year, and it is also used in the context of image or display quality.