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A milepost equation is a place where mileposts on a linear feature, such as a highway or rail line, fail to increase normally. Learn how milepost equations are caused by realignment or changes in planned alignment, and how they affect mileage calculation.
Learn how to calculate the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. See different formulas, proofs and examples for lines defined by equations, points or normals.
Learn about the definition, formulas, properties and applications of Euclidean distance, the length of the line segment between two points in Euclidean space. Euclidean distance is a metric space that obeys the Pythagorean theorem and Ptolemy's inequality.
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 mile is a unit of length based on 5,280 feet or 1,760 yards. The statute mile is the international standard of 1,609.344 metres, but other types of miles exist, such as the nautical mile, the Roman mile, and the Chinese mile.
Gower's distance is a similarity measure for mixed-type data that can handle different types of variables. It is defined as a weighted average of the similarities between pairs of variables and takes values between 0 and 1.
Affinity matrix is a similarity measure that transforms data to overcome difficulties related to lack of convexity in the shape of the data distribution. It is used in spectral clustering, a data mining technique that groups similar data points based on their similarities.
Vincenty's formulae are iterative methods to calculate the distance and azimuth between two points on a spheroid. They are based on Legendre, Bessel and Helmert's series and are accurate to within 0.5 mm on the Earth ellipsoid.
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