Australia (continent) of the continent of Australia, but of the separate, submerged continent of Zealandia. New Zealand and Australia are both part of the Oceanian sub-region known as Australasia, with New Guinea being in Melanesia. The term Oceania is often used to denote the region encompassing the Australian continent, Zealandia and various islands in the Pacific Ocean that are not included in the seven-continent model. Papua New Guinea, a country within the continent, is one of the most culturally and linguistically diverse countries in the world. It is also one of the most rural, as only 18 percent of its people live
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