As a result of the change in its status and the arrival of the Portuguese royal family, Brazilian administrative, civic, economical, military, educational, and scientific apparatus were expanded and highly modernized. Portuguese and their allied British troops fought against the French Invasion of Portugal and by 1815 the situation in Europe had cooled down sufficiently that Joao VI would have been able to return safely to Lisbon. However, the King of Portugal remained in Brazil until the Liberal Revolution of 1820, which started in Porto, demanded his return to Lisbon in 1821.
Portugese and British troops fought against the invasion of which country?
French

Mach argued that, in effect, the water experiment in an otherwise empty universe would remain flat. But if another object were introduced into this universe, perhaps a distant star, there would now be something relative to which the bucket could be seen as rotating. The water inside the bucket could possibly have a slight curve. To account for the curve that we observe, an increase in the number of objects in the universe also increases the curvature in the water. Mach argued that the momentum of an object, whether angular or linear, exists as a result of the sum of the effects of other objects in the universe (Mach's Principle).
What did Mach argue would happen if another object were introduce in the bucket's universe?
the bucket could be seen as rotating

The new Supreme Court of New Zealand was officially established at the beginning of 2004, although it did not come into operation until July. The High Court of New Zealand was until 1980 known as the Supreme Court. The Supreme Court has a purely appellate jurisdiction and hears appeals from the Court of Appeal of New Zealand. In some cases, an appeal may be removed directly to the Supreme Court from the High Court. For certain cases, particularly cases which commenced in the District Court, a lower court (typically the High Court or the Court of Appeal) may be the court of final jurisdiction.
What court's decisions may be appealed to New Zealand's supreme court?
Court of Appeal of New Zealand