Fine Art

.

In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space.

One-dimensional geometry
Polytopes

The only regular polytope in one dimension is the line segment, with the Schläfli symbol { }.


Hypersphere

The hypersphere in 1 dimension is a pair of points, sometimes called a 0-sphere as its surface is zero-dimensional. Its length is

L = 2r

where r is the radius.

Coordinate systems in one-dimensional space
Main article: Coordinate system

The most popular coordinate systems are the number line and the angle.

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License

Home - Hellenica World