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The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.
Contraction mapping. In mathematics, a contraction mapping, or contraction or contractor, on a metric space ( M , d) is a function f from M to itself, with the property that there is some real number such that for all x and y in M , The smallest such value of k is called the Lipschitz constant of f. Contractive maps are sometimes called ...
MapQuest. Screenshot of MapQuest in use on a web browser. MapQuest (stylized as mapquest) is an American free online web mapping service. It was launched in 1996 as the first commercial web mapping service. [1] MapQuest vies for market share with competitors such as Apple Maps, Here and Google Maps.
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The scale of a map is the ratio of a distance on the map to the corresponding distance on the ground. This simple concept is complicated by the curvature of the Earth 's surface, which forces scale to vary across a map. Because of this variation, the concept of scale becomes meaningful in two distinct ways.
On Sizes and Distances (of the Sun and Moon) (Greek: Περὶ μεγεθῶν καὶ ἀποστημάτων [ἡλίου καὶ σελήνης], romanized: Peri megethon kai apostematon) is a text by the ancient Greek astronomer Hipparchus (c. 190 – c. 120 BC) in which approximations are made for the radii of the Sun and the Moon as well as their distances from the Earth.
Cross Lake (Manitoba) / 54.717°N 97.550°W / 54.717; -97.550. 1 Shore length is not a well-defined measure. Cross Lake is a large lake in Manitoba on the Nelson River north of Lake Winnipeg. It is long and narrow and extends 102 kilometres (63 mi) east-northeast. The Nelson River west channel enters the lake at the Jenpeg Dam and the ...
The Mahalanobis distance is a measure of the distance between a point and a distribution , introduced by P. C. Mahalanobis in 1936. [1] The mathematical details of Mahalanobis distance has appeared in the Journal of The Asiatic Society of Bengal. [2] Mahalanobis's definition was prompted by the problem of identifying the similarities of skulls ...
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