Prince Imperial (Princess Imperial when the holder is female) is the title created after the proclamation of independence of the Empire of Brazil, in 1822, to designate the heir apparent or the heir presumptive to the Brazilian imperial throne. Even after the proclamation of the Republic in 1889, the title was kept in use by the Brazilian Imperial Family.
Count of Monpezat (Danish: Greve af Monpezat), or Countess of Monpezat (Danish: Komtesse af Monpezat) when the holder is female, is a hereditary title of Danish nobility. It was granted on 30 April 2008 by Queen Margrethe II to her two sons, Crown Prince Frederik and Prince Joachim, and their legitimate patrilineal (male-line) descendants. The title is derived from the French title of "comte de Laborde de Monpezat", which was used by Frederik and Joachim's father, Prince Henrik. His family started using this title as a title of pretense in republican France in the late 19th century.
The title can only be passed down the male line, but unmarried daughters of a count hold the courtesy title komtesse (derived from the French word for countess). The wife of a count holds the courtesy title grevinde (the Danish word for countess). A komtesse (a count's daughter) cannot pass on the title to her husband or children.