§ 2. Definitions. The term "state officer" includes every officer for whom all the electors of the state are entitled to vote, members of the legislature, justices of the supreme court, regents of the university, and every officer, appointed by one or more state officers, or by the legislature, and authorized to exercise his official functions throughout the entire state, or without limitation to any political subdivision of the state, except United States senators, members of congress, and electors for president and vice-president of the United States. The term "local officer" includes every other officer who is elected by the electors of a portion only of the state, every officer of a political subdivision or municipal corporation of the state, and every officer limited in the execution of his official functions to a portion only of the state. The office of a state officer is a state office. The office of a local officer is a local office.