Onedimensional space
Geometry  

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In physics and mathematics, a sequence of n numbers can specify a location in ndimensional space. When n = 1, the set of all such locations is called a onedimensional space. An example of a onedimensional space is the number line, where the position of each point on it can be described by a single number.^{[1]}
In algebraic geometry there are several structures that are technically onedimensional spaces but referred to in other terms. A field k is a onedimensional vector space over itself. Similarly, the projective line over k is a onedimensional space. In particular, if k = ℂ, the complex numbers, then the complex projective line P^{1}(ℂ) is onedimensional with respect to ℂ, even though it is also known as the Riemann sphere.
More generally, a ring is a lengthone module over itself. Similarly, the projective line over a ring is a onedimensional space over the ring. In case the ring is an algebra over a field, these spaces are onedimensional with respect to the algebra, even if the algebra is of higher dimensionality.
HypersphereEdit
The hypersphere in 1 dimension is a pair of points,^{[2]} sometimes called a 0sphere as its surface is zerodimensional. Its length is
where is the radius.
Coordinate systems in onedimensional spaceEdit
One dimensional coordinate systems include the number line and the angle.
ReferencesEdit
 ^ Гущин, Д. Д. "Пространство как математическое понятие" (in Russian). fmclass.ru. Retrieved 20150606.
 ^ Gibilisco, Stan (1983). Understanding Einstein's Theories of Relativity: Man's New Perspective on the Cosmos. TAB Books. p. 89.