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The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry.It is the length of the line segment which joins the point to the line and is perpendicular to the line.
The PETA revolt in Blitar (Indonesian: Pemberontakan PETA di Blitar) was an anti-occupation revolt in present-day Indonesia, which took place on 14 February 1945 by the PETA daidan (battalion) in Blitar. This revolt was widely known as the first major uprising of local armies in Indonesia during the Japanese occupation. [3]
The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes.Important in navigation, it is a special case of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles.
The distance between any two points on the real line is the absolute value of the numerical difference of their coordinates, their absolute difference.Thus if and are two points on the real line, then the distance between them is given by: [1]
Scrope's 1833 map of world population density, possibly the first dasymetric map. The earliest maps using this kind of approach include an 1833 map of world population density by George Julius Poulett Scrope [4] and an 1838 map of population density in Ireland by Henry Drury Harness, although the methods used to create these maps were never documented.
The L 1 metric was used in regression analysis, as a measure of goodness of fit, in 1757 by Roger Joseph Boscovich. [2] The interpretation of it as a distance between points in a geometric space dates to the late 19th century and the development of non-Euclidean geometries.
The Topkapı Palace where the map was discovered, viewed from the Bosporus. Much of Piri Reis's biography is known only from his cartographic works, including his two world maps and the Kitab-ı Bahriye (Book of Maritime Matters) [6] completed in 1521. [7]
The Mahalanobis distance is a measure of the distance between a point and a distribution, introduced by P. C. Mahalanobis in 1936. [1] The mathematical details of Mahalanobis distance first appeared in the Journal of The Asiatic Society of Bengal in 1936. [2]