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Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude. This distance is an element in solving the second (inverse) geodetic ...
Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing ...
When the cities are viewed as points in the plane, many natural distance functions are metrics, and so many natural instances of TSP satisfy this constraint. The following are some examples of metric TSPs for various metrics. In the Euclidean TSP (see below), the distance between two cities is the Euclidean distance between the corresponding ...
U. S. Census Bureau Geographic Information Systems FAQ, (content has been moved to What is the best way to calculate the distance between 2 points?) R. W. Sinnott, "Virtues of the Haversine", Sky and Telescope 68 (2), 159 (1984). "Deriving the haversine formula". Ask Dr. Math. April 20–21, 1999. Archived from the original on 20 January 2020.
Dijkstra's algorithm to find the shortest path between a and b. It picks the unvisited vertex with the lowest distance, calculates the distance through it to each unvisited neighbor, and updates the neighbor's distance if smaller. Mark visited (set to red) when done with neighbors. Dijkstra's algorithm (/ ˈdaɪkstrəz / DYKE-strəz) is an ...
An azimuthal equidistant projection about the South Pole extending all the way to the North Pole. Emblem of the United Nations containing a polar azimuthal equidistant projection. The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionally correct distances ...
The two cities used were Alexandria and Syene (modern Aswan), and the distance between the cities was measured by professional bematists. [16] A geometric calculation reveals that the circumference of the Earth is the distance between the two cities divided by the difference in shadow angles expressed as a fraction of one turn.
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 ...
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