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In statistics and computational geometry, the notion of centerpoint is a generalization of the median to data in higher-dimensional Euclidean space.Given a set of points in d-dimensional space, a centerpoint of the set is a point such that any hyperplane that goes through that point divides the set of points in two roughly equal subsets: the smaller part should have at least a 1/(d + 1 ...
In geometry, a centre (British English) or center (American English) (from Ancient Greek κέντρον (kéntron) 'pointy object') of an object is a point in some sense in the middle of the object. According to the specific definition of centre taken into consideration, an object might have no centre.
A triangle's centroid is the point that maximizes the product of the directed distances of a point from the triangle's sidelines. [ 20 ] Let A B C {\displaystyle ABC} be a triangle, let G {\displaystyle G} be its centroid, and let D , E , F {\displaystyle D,E,F} be the midpoints of segments B C , C A , A B , {\displaystyle BC,CA,AB,} respectively.
the mean center, also known as the centroid or center of gravity; the median center, which is the intersection of the median longitude and median latitude; the geometric median, also known as Weber point, Fermat–Weber point, or point of minimum aggregate travel. A further complication is caused by the curved shape of the Earth.
Centre Point Sabah, in Kota Kinabalu, Sabah, Malaysia; Centrepoint (commune), a former commune in Albany, New Zealand; SM City Sta. Mesa, Manila, Philippines, formerly known as SM Centerpoint; The Centrepoint, a shopping centre in Singapore; Centre Point, an office building in central London, England
The center of mass is the unique point at the center of a distribution of mass in space that has the property that the weighted position vectors relative to this point sum to zero. In analogy to statistics, the center of mass is the mean location of a distribution of mass in space.
Its antipodal point is correspondingly the farthest point from everyone on earth, and is located in the South Pacific near Easter Island, with a mean distance of 15,000 kilometers (9,300 mi). The data used by this figure is lumped at the country level, and is therefore precise only to country-scale distances, larger nations heavily skewed.
Center Point is the name of a few places in the United States: Center Point, Alabama; Center Point, Howard County, Arkansas; Center Point, Georgia; Center Point, Indiana;