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Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance. These names come from the ancient Greek ...
Longitude (/ ˈlɒndʒɪtjuːd /, AU and UK also / ˈlɒŋɡɪ -/) [1][2] is a geographic coordinate that specifies the east – west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek letter lambda (λ). Meridians are imaginary ...
Manhattan distance is commonly used in GPS applications, as it can be used to find the shortest route between two addresses. [ citation needed ] When you generalize the Euclidean distance formula and Manhattan distance formula you are left with the Minkowski distance formulas, which can be used in a wide variety of applications.
Distance matrix. In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. [1] Depending upon the application involved, the distance being used to define this matrix may or may not be a metric. If there are N ...
Greatest distance between any two points in the 50 states: 5,859 miles (9,429 km), from Kure Atoll, Hawaii, to Log Point, Elliott Key, Florida. [23] Greatest distance between any two points in the contiguous 48 states: 2,901 miles (4,669 km), from North Farallon Island, California, to Sail Rock, east of West Quoddy Head, Maine. [23]
The distance between sets A and B is the infimum of the distances between any two of their respective points: (,) =, (,). This does not define a metric on the set of such subsets: the distance between overlapping sets is zero, and this distance does not satisfy the triangle inequality for any metric space with two or more points (consider the ...
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