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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 ...
A symmetry of the projective plane with a given conic relates every point or pole to a line called its polar. The concept of centre in projective geometry uses this relation. The following assertions are from G. B. Halsted. [3] The harmonic conjugate of a point at infinity with respect to the end points of a finite sect is the 'centre' of that ...
The geographic center of the United States is a point approximately 20 miles (32 km) north of Belle Fourche, South Dakota at It has been regarded as such by the United States Coast and Geodetic Survey and the U.S. National Geodetic Survey (NGS) since the additions of Alaska and Hawaii to the United States in 1959.
Shift of the world's economic center of gravity since 1980 and projected until 2050 [7] Various definitions of geographical centres exists. The definitions used by the references in this article refer to calculations within the 2 dimensions of a surface, mainly as the surface of Earth is the domain of human cultural existence.
The exact geographic center of the U.S. Virgin Islands is unknown — the default center starting point for the U.S. Virgin Islands on Google Maps is located in the Caribbean Sea, [15] 18.21 miles (29.30 km) south-southeast of Saint Thomas and 18.31 miles (29.47 km) north of Saint Croix — note that this point is the approximate center of the ...
The mean center, or centroid, is the point on which a rigid, weightless map would balance perfectly, if the population members are represented as points of equal mass. Mathematically, the centroid is the point to which the population has the smallest possible sum of squared distances. It is easily found by taking the arithmetic mean of each ...
centre point of a bounding box completely enclosing the area. While relatively easy to determine, a centre point calculated using this method will generally also vary (relative to the shape of the landmass or region) depending on the orientation of the bounding box to the area under consideration. In this sense it is not a robust method.
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.