Australia (continent) Australia (continent) The continent of Australia, sometimes known in technical contexts by the names Sahul, Australinea or Meganesia to distinguish it from the country of Australia, consists of the land masses which sit on Australia's continental shelf. This includes mainland Australia, Tasmania, and the island of New Guinea (comprising Papua New Guinea and two Indonesian provinces). Situated in the geographical region of Oceania, it is the smallest of the seven traditional continents in the English conception. The continent lies on a continental shelf overlain by shallow seas which divide it into several landmasses—the Arafura Sea and Torres Strait between mainland
Smallest-circle problem Smallest-circle problem The smallest-circle problem or minimum covering circle problem is a mathematical problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in "n"-dimensional space, the smallest bounding-sphere problem, is to compute the smallest "n"-sphere that contains all of a given set of points. The smallest-circle problem was initially proposed by the English mathematician James Joseph Sylvester in 1857. The smallest-circle problem in the plane is an example of a facility location problem (the 1-center problem) in which the location of a new facility must be chosen