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Angular distance or angular separation is the measure of the angle between the orientation of two straight lines, rays, or vectors in three-dimensional space, or the central angle subtended by the radii through two points on a sphere.
Alt and Godau [4] describe a simpler algorithm to compute the weak Fréchet distance between polygonal curves, based on computing minimax paths in an associated grid graph. The discrete Fréchet distance, also called the coupling distance, is an approximation of the Fréchet metric for polygonal curves, defined by Eiter and Mannila. [6]
In addition to Newton's Law of Gravity in the physical sciences, there were other antecedents to Reilly's "law" of retail gravity. In particular, E.C. Young in 1924 described a formula for migration that was based on the physical law of gravity, and H.C. Carey had included a description of the tendency of humans to "gravitate" together in an 1858 summary of social science theory.
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 (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.
On the other hand, the greatest straight line distance that could in theory be covered is a trip exactly on the Equator, a distance of 40,075 kilometres (24,901 mi). The Earth's equatorial bulge makes this slightly longer than a north–south trip around the world along a set of meridian lines, which is a distance of 40,008 kilometres (24,860 mi).
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