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Wasserstein metrics measure the distance between two measures on the same metric space. The Wasserstein distance between two measures is, roughly speaking, the cost of transporting one to the other. The set of all m by n matrices over some field is a metric space with respect to the rank distance (,) = ().
The angstrom (symbol Å) is a unit of distance used in chemistry and atomic physics equal to 100 pm. The micron (μ) is a unit of distance equal to one micrometre (1 μm). The basic module (M) is a unit of distance equal to one hundred millimetres (100 mm). The myriametre (mym) is a unit of distance equal to ten kilometres (10 km).
A sphere formed using the Chebyshev distance as a metric is a cube with each face perpendicular to one of the coordinate axes, but a sphere formed using Manhattan distance is an octahedron: these are dual polyhedra, but among cubes, only the square (and 1-dimensional line segment) are self-dual polytopes.
The Hausdorff distance is the longest distance someone can be forced to travel by an adversary who chooses a point in one of the two sets, from where they then must travel to the other set. In other words, it is the greatest of all the distances from a point in one set to the closest point in the other set.
Lunar distance LD ≈ 384 402 km. [10] Average distance between the center of Earth and the center of the Moon. astronomical unit au. Defined as 149 597 870 700 m. [11] Approximately the distance between the Earth and Sun. light-year ly ≈ 9 460 730 472 580.8 km. The distance that light travels in a vacuum in one Julian year. [12]
Dimi (metric prefix) – a discontinued non-SI metric prefix for 10 −4 [7] Einstein – unit of energy, and a unit of amount of substance; Fanega – a unit of dry volume, and a unit of area; Fresnel – a unit of frequency; Garce – a unit of dry volume in India, and a unit of mass in Sri Lanka; Hobbit – a unit of volume, or, more rarely ...
The metric system is a system of measurement that standardizes a set ... The metre was originally defined to be one ten millionth of the distance between the North ...
Distances are described in terms of metres, mass in terms of kilograms and time in seconds. Derived units are defined using the appropriate combinations, such as velocity in metres per second. Some units have their own names, such as the newton unit of force which is the combination kilogram metre per second squared.
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