A more thorough explanation:

A notice of motion is a written document that informs all parties involved in a lawsuit that a motion has been filed or will be heard by the court at a specific time. It is a formal way of notifying everyone involved in the case about the upcoming motion.

For example, if a party wants to request a change in the trial date, they would file a notice of motion with the court. This document would inform all parties involved in the case that a motion has been filed and that a hearing will be held to consider the request.

Under the Federal Rules of Civil Procedure, a motion must be made in writing, and this requirement is fulfilled if the motion is stated in a written notice of the hearing on the motion. Additionally, all motions must include a certificate of service, indicating that the other parties to the suit have been given notice of the motion's filing.

Overall, a notice of motion is an essential part of the legal process, as it ensures that all parties involved in a lawsuit are aware of any upcoming motions and have the opportunity to respond or object to them.