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Learn how to find the shortest paths between nodes in a weighted graph using Dijkstra's algorithm, invented by Edsger W. Dijkstra in 1956. See the algorithm's history, implementation, complexity, and examples.
Learn about the TSP, a classic optimization problem that asks for the shortest route visiting each city once. Find out its history, applications, and algorithms, including the Christofides-Serdyukov algorithm.
The haversine formula is a computational formula for calculating the great-circle distance between two points on a sphere, using the chord length relation. It is numerically better-conditioned for small distances than the spherical law of cosines formula, but less accurate for antipodal points.
A mileage sign is a type of road sign that shows the distance from a current point on a highway to a city, destination, or a junction. Learn about the functionality, frequency, and variations of mileage signs in different countries and regions.
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.
Learn how to calculate the distance between two points on the Earth's surface using different approximations and formulae. Compare flat, spherical and ellipsoidal models and their errors and limitations.
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