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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.
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.
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 great-circle distance between two points on a sphere using the haversine formula, a special case of the law of haversines. The formula uses the haversine function, which is half a versine of the central angle, and depends on the latitude and longitude of the points.
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 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.
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