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It approximates the arc length, , to the tunnel distance, , or omits the conversion between arc and chord lengths shown below. The shortest distance between two points in plane is a Cartesian straight line. The Pythagorean theorem is used to calculate the distance between points in a plane.
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.
Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property ...
The nautical mile (nmi) was originally defined as the arc length of a minute of latitude on a spherical Earth, so the actual Earth circumference is very near 21 600 nmi. A minute of arc is π 10 800 of a radian . A second of arc, arcsecond (arcsec), or arc second, denoted by the symbol ″, [ 2] is 1 60 of an arcminute, 1 3600 ...
The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing through the sphere's interior is the chord between ...
Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems . In geodesy, geographic coordinate conversion is defined as translation among different coordinate formats or map projections all referenced to the same geodetic datum. [ 1] A geographic coordinate transformation is a ...
The Levenshtein distance between two words is the minimum number of single-character edits (insertions, deletions or substitutions) required to change one word into the other. It is named after Soviet mathematician Vladimir Levenshtein, who defined the metric in 1965. [ 1] Levenshtein distance may also be referred to as edit distance, although ...
From these figures for the size of a Biblical ell, that of the basic unit — the finger-breadth ( Etzba) — can be calculated to be either 2.1 or 2.2 cm (0.83 or 0.87 in); Rav Avraham Chaim Naeh approximates at 2 cm (0.79 in); Talmudic scholar Chazon Ish at 2.38 cm (0.94 in). The mile ( Mil) is thus about 963 or 1146 meters (3160 or 3760 ft ...
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