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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.
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.
Eratosthenes was the first person to calculate the circumference of the Earth, using a survey of the distance between Syene and Alexandria. He also invented the sieve of Eratosthenes, created the first global projection of the world, and wrote chronologies of historical events.
Learn about the shortest path algorithm invented by Edsger W. Dijkstra in 1956 and its applications in graph theory and network routing. See the algorithm's pseudocode, history, complexity, and examples.
Distance is a numerical or qualitative measurement of how far apart objects, points, people, or ideas are. Learn about different types of distances in physics, geometry, mathematics, and social sciences, with formulas, diagrams, and applications.
Learn about the mathematical problem of finding the shortest route that visits every city once and returns to the origin. Explore the history, applications, and algorithms of the travelling salesman problem.
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