A more thorough explanation:

Judicial proceedings

Any action taken by a judge in relation to trials, hearings, petitions, or other matters that are formally before the court.

• A judge presiding over a criminal trial and making decisions about evidence and sentencing.
• A judge hearing a custody dispute between two parents and making a ruling on who should have custody of the child.
• A judge considering a petition from a citizen who wants to change their name and deciding whether or not to grant the request.

These examples illustrate how judicial proceedings involve a judge making decisions or taking actions in response to legal matters that are brought before the court. The judge's role is to ensure that the proceedings are conducted fairly and in accordance with the law, and to make rulings that are based on the evidence and arguments presented by the parties involved.